@prefix : . @prefix owl: . @prefix rdf: . @prefix xml: . @prefix xsd: . @prefix rdfs: . @base . rdf:type owl:Ontology ; owl:versionIRI ; "MathModDB is a database of mathematical models developed by the Mathematical Research Data Initiative (MaRDI). It defines a data model with classes (Mathematical Model, Mathematical Formulation, Academic Discipline, Research Problem, Quantity [Kind], Computational Task, Publication), object properties/relations, data properties and annotation properties as an ontology. This ontology is populated with individuals/data from various fields of applied mathematics, making it a knowledge graph. This is a snapshot of MathModDB. The current version is maintained on the MaRDI Portal."@en ; "Shehu, A., Schembera, B., Schmidt, B., Biedinger, C., Fiedler, J., Reidelbach, M., Koprucki, T. (2025): MathModDB Ontology and Knowledge Graph for Mathematical Models"@en ; "Aurela Shehu (https://orcid.org/0000-0002-1994-0612), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"@en , "Björn Schembera (https://orcid.org/0000-0003-2860-6621), Universität Stuttgart (https://ror.org/04vnq7t77, https://isni.org/isni/0000000419369713)"@en , "Burkhard Schmidt (https://orcid.org/0000-0002-9658-499X), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"@en , "Christine Biedinger (https://orcid.org/0009-0002-5082-8386), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)"@en , "Jochen Fiedler (https://orcid.org/0000-0002-9176-780X), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)"@en , "Marco Reidelbach (https://orcid.org/0000-0002-1919-1834), Zuse Institute Berlin (https://ror.org/02eva5865, https://isni.org/isni/000000011010926X)"@en , "Thomas Koprucki (https://orcid.org/0000-0001-6235-9412), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)"@en ; "2026-07-23" ; ; "2026-07-23" ; "Mathematical Research Data Initiative (MaRDI, https://www.mardi4nfdi.de)"@en ; "MathModDB Knowledge Graph of Mathematical Models"@en ; rdfs:comment "This is the MathModDB Ontology for documenting mathematical models."@en ; rdfs:label "MathModDB Ontology"@en ; rdfs:seeAlso , , ; owl:versionInfo "2.0.0" . ################################################################# # Annotation properties ################################################################# ### http://purl.org/dc/terms/abstract rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/bibliographicCitation rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/creator rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/description rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/issued rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/license rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/modified rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/publisher rdf:type owl:AnnotationProperty . ### http://purl.org/dc/terms/title rdf:type owl:AnnotationProperty . ### https://portal.mardi4nfdi.de/entity/P1030 rdf:type owl:AnnotationProperty ; rdfs:label "Interlingual Index ID"@en . ### https://portal.mardi4nfdi.de/entity/P104 rdf:type owl:AnnotationProperty ; rdfs:label "described at URL"@en ; "item is described at the following URL"@en . ### https://portal.mardi4nfdi.de/entity/P1121 rdf:type owl:AnnotationProperty ; rdfs:label "SVKKL authority ID"@en ; "identifier in the regional authority database of Central Bohemian Research Library"@en . ### https://portal.mardi4nfdi.de/entity/P1123 rdf:type owl:AnnotationProperty ; rdfs:label "Yle topic ID"@en ; "identifier for topics in Finland's national broadcaster Yle's web services"@en . ### https://portal.mardi4nfdi.de/entity/P1192 rdf:type owl:AnnotationProperty ; rdfs:label "MathWorld ID"@en ; "identifier for entries in MathWorld, online mathematics reference work"@en . ### https://portal.mardi4nfdi.de/entity/P1194 rdf:type owl:AnnotationProperty ; rdfs:label "Brilliant Wiki ID"@en ; "identifier for a Brilliant.org wiki article"@en . ### https://portal.mardi4nfdi.de/entity/P1195 rdf:type owl:AnnotationProperty ; rdfs:label "nLab ID"@en ; "name of a page in nLab wiki"@en . ### https://portal.mardi4nfdi.de/entity/P1198 rdf:type owl:AnnotationProperty ; rdfs:label "Treccani's Dizionario di Economia e Finanza ID"@en ; "identifier for an item in the Dizionario di Economia e Finanza on the Institute of the Italian Encyclopaedia website"@en . ### https://portal.mardi4nfdi.de/entity/P12 rdf:type owl:AnnotationProperty ; rdfs:label "Wikidata QID"@en ; "Corresponding QID in Wikidata"@en . ### https://portal.mardi4nfdi.de/entity/P1202 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia of Mathematics wiki ID"@en ; "identifier for an article on the Encyclopedia of Mathematics wiki (encyclopediaofmath.org)"@en . ### https://portal.mardi4nfdi.de/entity/P1205 rdf:type owl:AnnotationProperty ; rdfs:label "ERIC Thesaurus ID"@en ; "identifier for a term in the Education Resources Information Center (ERIC) Thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P1206 rdf:type owl:AnnotationProperty ; rdfs:label "Library of Congress Classification"@en ; "subject classification identifier used in the Library of Congress Classification system"@en . ### https://portal.mardi4nfdi.de/entity/P1208 rdf:type owl:AnnotationProperty ; rdfs:label "Great Russian Encyclopedia portal ID"@en ; "identifier of an entry on the web portal based on the Great Russian Encyclopedia and formerly known as \"Knowledge\" (for the older version of encyclopedia use P2924)"@en . ### https://portal.mardi4nfdi.de/entity/P1210 rdf:type owl:AnnotationProperty ; rdfs:label "Wolfram Language quantity ID"@en ; "identifier for a (physical, chemical, ...) quantity in the Wolfram Language"@en . ### https://portal.mardi4nfdi.de/entity/P1212 rdf:type owl:AnnotationProperty ; rdfs:label "ISQ dimension"@en ; "property of an observable physical quantity being a product of the SI base dimensions (length, mass, time, etc.)"@en . ### https://portal.mardi4nfdi.de/entity/P1213 rdf:type owl:AnnotationProperty ; rdfs:label "IUPAC Gold Book ID"@en ; "identifier of definition in ''Compendium of Chemical Terminology'' (''IUPAC GoldBook'')"@en . ### https://portal.mardi4nfdi.de/entity/P1234 rdf:type owl:AnnotationProperty ; rdfs:label "ANZSRC 2020 FoR ID"@en ; "Australia and New Zealand Standard Research Classification 2020 identifier for a field of research"@en . ### https://portal.mardi4nfdi.de/entity/P124 rdf:type owl:AnnotationProperty ; rdfs:label "facet of"@en ; "topic of which this item is an aspect, item that offers a broader perspective on the same topic"@en . ### https://portal.mardi4nfdi.de/entity/P1275 rdf:type owl:AnnotationProperty ; rdfs:label "external data available at URL"@en ; "URL where external data on this item can be found"@en . ### https://portal.mardi4nfdi.de/entity/P1331 rdf:type owl:AnnotationProperty ; rdfs:label "bashenc.online ID"@en ; "article code on the encyclopedic portal \"Bashkortostan\""@en . ### https://portal.mardi4nfdi.de/entity/P1364 rdf:type owl:AnnotationProperty ; rdfs:label "ScienceDirect topic ID"@en ; "identifier for a topic on the research publication website ScienceDirect"@en . ### https://portal.mardi4nfdi.de/entity/P1380 rdf:type owl:AnnotationProperty ; rdfs:label "Visuotinė lietuvių enciklopedija ID"@en ; "identifier for an item in the online edition of the Visuotinė lietuvių enciklopedija"@en . ### https://portal.mardi4nfdi.de/entity/P1459 rdf:type owl:AnnotationProperty ; rdfs:label "Description (long)"@en ; "long description of an item"@en . ### https://portal.mardi4nfdi.de/entity/P1460 rdf:type owl:AnnotationProperty ; rdfs:label "MaRDI profile type"@en ; "defines the types of MaRDI profiles expected to work for this item"@en . ### https://portal.mardi4nfdi.de/entity/P1463 rdf:type owl:AnnotationProperty ; rdfs:label "describes a project that uses"@en ; "essential component or tool that was used in the project described in this output"@en . ### https://portal.mardi4nfdi.de/entity/P147 rdf:type owl:AnnotationProperty ; rdfs:label "used by"@en ; "item or concept that makes use of the subject (use sub-properties when appropriate)"@en . ### https://portal.mardi4nfdi.de/entity/P1495 rdf:type owl:AnnotationProperty ; rdfs:label "community"@en ; "The community this item is connected to, e.g. some science framework such as SFB1234, MATH+, MathModDB or MathAlgoDB"@en . ### https://portal.mardi4nfdi.de/entity/P1504 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia of Korean Culture ID"@en ; "identifier for an article in the Encyclopedia of Korean Culture"@en . ### https://portal.mardi4nfdi.de/entity/P1505 rdf:type owl:AnnotationProperty ; rdfs:label "WikiKids ID"@en ; "identifier of the article on WikiKids"@en . ### https://portal.mardi4nfdi.de/entity/P1513 rdf:type owl:AnnotationProperty ; rdfs:label "modelled by"@en ; "indicates that a specific research problem is addressed or represented by a particular mathematical model"@en . ### https://portal.mardi4nfdi.de/entity/P1522 rdf:type owl:AnnotationProperty ; rdfs:label "Baidu Tieba name"@en ; "name of a specific topic driven forum in Baidu Tieba"@en . ### https://portal.mardi4nfdi.de/entity/P1525 rdf:type owl:AnnotationProperty ; rdfs:label "Treccani Vocabulary ID"@en ; "ID for lexemes"@en . ### https://portal.mardi4nfdi.de/entity/P1526 rdf:type owl:AnnotationProperty ; rdfs:label "Stack Exchange site URL"@en ; "link to a Stack Exchange network website for the concept"@en . ### https://portal.mardi4nfdi.de/entity/P1527 rdf:type owl:AnnotationProperty ; rdfs:label "INAPP Thesaurus ID"@en ; "identifier for a subject in the INAPP Thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P1531 rdf:type owl:AnnotationProperty ; rdfs:label "Gran Enciclopèdia Catalana ID"@en ; "identifier for an item in the Gran Enciclopèdia Catalana"@en . ### https://portal.mardi4nfdi.de/entity/P1532 rdf:type owl:AnnotationProperty ; rdfs:label "museum-digital tag ID"@en ; "numeric identifier for keywords used in the description of cultural heritage objects in Museum-Digital"@en . ### https://portal.mardi4nfdi.de/entity/P1538 rdf:type owl:AnnotationProperty ; rdfs:label "Vikidia article ID"@en ; "identifier for an article on Vikidia (format \"lang-code:title\")"@en . ### https://portal.mardi4nfdi.de/entity/P1560 rdf:type owl:AnnotationProperty ; rdfs:label "contains"@en ; "item or substance located within this item but not part of it"@en . ### https://portal.mardi4nfdi.de/entity/P1566 rdf:type owl:AnnotationProperty ; rdfs:label "numeric value"@en ; "numerical value of a number, a mathematical constant, or a physical constant"@en . ### https://portal.mardi4nfdi.de/entity/P1575 rdf:type owl:AnnotationProperty ; rdfs:label "ProofWiki ID"@en ; "identifier for a ProofWiki article"@en . ### https://portal.mardi4nfdi.de/entity/P1585 rdf:type owl:AnnotationProperty ; rdfs:label "RationalWiki ID"@en ; "identifier for an item at RationalWiki"@en . ### https://portal.mardi4nfdi.de/entity/P1586 rdf:type owl:AnnotationProperty ; rdfs:label "World of Physics ID"@en ; "identifier for an entity or concept, in Eric Weisstein's 'World of Physics'"@en . ### https://portal.mardi4nfdi.de/entity/P1587 rdf:type owl:AnnotationProperty ; rdfs:label "notation"@en ; "mathematical notation or another symbol"@en . ### https://portal.mardi4nfdi.de/entity/P1590 rdf:type owl:AnnotationProperty ; rdfs:label "PhilPapers topic"@en ; "identifier for topics on PhilPapers"@en . ### https://portal.mardi4nfdi.de/entity/P1640 rdf:type owl:AnnotationProperty ; rdfs:label "local image"@en ; "An image from the local wiki installation"@en . ### https://portal.mardi4nfdi.de/entity/P1650 rdf:type owl:AnnotationProperty ; rdfs:label "Concepticon concept set ID"@en ; "ID for a concept set in Concepticon"@en . ### https://portal.mardi4nfdi.de/entity/P1654 rdf:type owl:AnnotationProperty ; rdfs:label "QUDT quantity kind ID"@en ; "identifier for a quantity in the QUDT ontology"@en . ### https://portal.mardi4nfdi.de/entity/P1655 rdf:type owl:AnnotationProperty ; rdfs:label "approximated by"@en ; ; "item approximated by another item of the same class"@en . ### https://portal.mardi4nfdi.de/entity/P1656 rdf:type owl:AnnotationProperty ; rdfs:label "discretized by"@en ; ; "Discrete models are the discrete analogues of continuous models. In discrete modelling, processes are described by discrete data, i.e., data that could potentially take on only a countable set of values, such as the integers, and which are not infinitely divisible. Thus, discrete modeling yields a computer representable and computable versions of continuous mathematical models."@en . ### https://portal.mardi4nfdi.de/entity/P1657 rdf:type owl:AnnotationProperty ; rdfs:label "linearized by"@en ; ; "A property that states that a formulation is linearized (exact or approximate) by another formulation"@en . ### https://portal.mardi4nfdi.de/entity/P1658 rdf:type owl:AnnotationProperty ; rdfs:label "nondimensionalized by"@en ; ; "Partial or full removal of physical dimensions from a quantity or a formulation"@en . ### https://portal.mardi4nfdi.de/entity/P1674 rdf:type owl:AnnotationProperty ; rdfs:label "assumes"@en ; "(qualifier) mathematical assumption under which a statement holds true"@en . ### https://portal.mardi4nfdi.de/entity/P1678 rdf:type owl:AnnotationProperty ; rdfs:label "FOLDOC ID"@en ; "identifier on the Free On-line Dictionary of Computing"@en . ### https://portal.mardi4nfdi.de/entity/P1683 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia of Science Fiction ID"@en ; "identifier for an entry on the Encyclopedia of Science Fiction website"@en . ### https://portal.mardi4nfdi.de/entity/P1684 rdf:type owl:AnnotationProperty ; rdfs:label "specialized by"@en ; ; "form of abstraction whereby common properties of specific instances are formulated as special cases of other instance"@en . ### https://portal.mardi4nfdi.de/entity/P1690 rdf:type owl:AnnotationProperty ; rdfs:label "related URL"@en ; "URL of an external resource providing supplementary information about this item"@en . ### https://portal.mardi4nfdi.de/entity/P1691 rdf:type owl:AnnotationProperty ; rdfs:label "similar to"@en ; "Use this property only if the two things are similar but the one is not the generalization of the other one."@en ; ; "property describing that two items are similar"@en . ### https://portal.mardi4nfdi.de/entity/P1692 rdf:type owl:AnnotationProperty ; rdfs:label "solution to"@en ; "a mathematical object that satisfies the criteria for a mathematical problem"@en . ### https://portal.mardi4nfdi.de/entity/P1693 rdf:type owl:AnnotationProperty ; rdfs:label "QUDT constant ID"@en ; "identifier for a quantity constant in the QUDT ontology"@en . ### https://portal.mardi4nfdi.de/entity/P1705 rdf:type owl:AnnotationProperty ; rdfs:label "GitLab topic ID"@en ; "identifier of a topic in the GitLab database"@en . ### https://portal.mardi4nfdi.de/entity/P1710 rdf:type owl:AnnotationProperty ; rdfs:label "Yale LUX ID"@en ; "identifier for an entity in Yale's LUX cross collection knowledge graph"@en . ### https://portal.mardi4nfdi.de/entity/P1723 rdf:type owl:AnnotationProperty ; rdfs:label "OpenStreetMap key"@en ; "identifier for a key in OpenStreetMap"@en . ### https://portal.mardi4nfdi.de/entity/P1736 rdf:type owl:AnnotationProperty ; rdfs:label "has weak formulation"@en ; "denotes the transition from a strong to a weak (variational) formulation of a partial differential equation (PDE)"@en . ### https://portal.mardi4nfdi.de/entity/P1739 rdf:type owl:AnnotationProperty ; rdfs:label "named by"@en ; "person or organisation that coined the name; use as qualifier for P2561 and its subproperties"@en . ### https://portal.mardi4nfdi.de/entity/P1743 rdf:type owl:AnnotationProperty ; rdfs:label "Unified Astronomy Thesaurus ID"@en ; "identifier for a term in the Unified Astronomy Thesaurus (UAT)"@en . ### https://portal.mardi4nfdi.de/entity/P1751 rdf:type owl:AnnotationProperty ; rdfs:label "Classification of Instructional Programs code"@en ; "code representing academic disciplines in the U.S. Department of Education's Classification of Instructional Programs"@en . ### https://portal.mardi4nfdi.de/entity/P1752 rdf:type owl:AnnotationProperty ; rdfs:label "Store medisinske leksikon ID"@en ; "identifier of an article in the online encyclopedia sml.snl.no"@en . ### https://portal.mardi4nfdi.de/entity/P1755 rdf:type owl:AnnotationProperty ; rdfs:label "Academic Encyclopedia of Czech History ID"@en ; "identifier for an article in the Akademická encyklopedie českých dějin"@en . ### https://portal.mardi4nfdi.de/entity/P1760 rdf:type owl:AnnotationProperty ; rdfs:label "France 24 topic ID (French)"@en ; "identifier of a topic on the French version of the France 24 website"@en . ### https://portal.mardi4nfdi.de/entity/P1863 rdf:type owl:AnnotationProperty ; rdfs:label "Enciclopedia Galega Universal ID"@en ; "numerical identifier for an ítem in Enciclopedia Galega Universal"@en . ### https://portal.mardi4nfdi.de/entity/P1868 rdf:type owl:AnnotationProperty ; rdfs:label "Wellcome Collection concept ID"@en ; "identifier for a person or topic, in the Wellcome Collection catalogue"@en . ### https://portal.mardi4nfdi.de/entity/P1869 rdf:type owl:AnnotationProperty ; rdfs:label "corresponds to"@en ; "two items are consistent, analogous in function/position, or one thing is the counterpart of another"@en . ### https://portal.mardi4nfdi.de/entity/P1885 rdf:type owl:AnnotationProperty ; rdfs:label "recommended unit of measurement"@en ; "unit in which a quantity is measured as recommended by a standard (SI, ISO, IEC, etc.)"@en . ### https://portal.mardi4nfdi.de/entity/P1886 rdf:type owl:AnnotationProperty ; rdfs:label "QUDT dimension ID"@en ; "dimension vector definition according to QUDT ontology: https://www.qudt.org/"@en . ### https://portal.mardi4nfdi.de/entity/P1891 rdf:type owl:AnnotationProperty ; rdfs:label "invariant under"@en ; "subject is unchanged by this process / function / group of transformation / equivalence relation"@en . ### https://portal.mardi4nfdi.de/entity/P190 rdf:type owl:AnnotationProperty ; rdfs:label "on focus list of Wikimedia project"@en ; "property to indicate that an item is of particular interest for a Wikimedia project. This property does not add notability. Items should not be created with this property if they are not notable for Wikidata. See also P6104, P972, P2354."@en . ### https://portal.mardi4nfdi.de/entity/P1902 rdf:type owl:AnnotationProperty ; rdfs:label "Arab Encyclopedia concept ID"@en ; "digital identifier for a topic within the articles of the Arabic Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P1912 rdf:type owl:AnnotationProperty ; rdfs:label "Lille norske leksikon ID"@en ; "identificator for an article in Lille/Vesle norske leksikon (lille.snl.no)"@en . ### https://portal.mardi4nfdi.de/entity/P1913 rdf:type owl:AnnotationProperty ; rdfs:label "mathematical inverse"@en ; "inverse element with respect to binary operation given as a qualifier using P2210"@en . ### https://portal.mardi4nfdi.de/entity/P1921 rdf:type owl:AnnotationProperty ; rdfs:label "has facet polytope"@en ; "facet of a polytope, in the next-lower dimension"@en . ### https://portal.mardi4nfdi.de/entity/P1925 rdf:type owl:AnnotationProperty ; rdfs:label "IMDb keyword"@en ; "IMDb keyword related to movies and television programs"@en . ### https://portal.mardi4nfdi.de/entity/P1926 rdf:type owl:AnnotationProperty ; rdfs:label "EDAM Ontology ID"@en ; "identifier for a concept in the EDAM ontology"@en . ### https://portal.mardi4nfdi.de/entity/P1959 rdf:type owl:AnnotationProperty ; rdfs:label "TUBITAK Sosyal Bilimler Ansiklopedisi ID"@en ; "Turkish social sciences encyclopedia published by TÜBİTAK"@en . ### https://portal.mardi4nfdi.de/entity/P1994 rdf:type owl:AnnotationProperty ; rdfs:label "zbMATH conecept ID"@en ; "unique identifier for a zbMATH concept"@en . ### https://portal.mardi4nfdi.de/entity/P2 rdf:type owl:AnnotationProperty ; rdfs:label "Digital Library of Mathematical Functions ID"@en ; "identifier for a function in the NIST Digital Library of Mathematical Functions"@en . ### https://portal.mardi4nfdi.de/entity/P2027 rdf:type owl:AnnotationProperty ; rdfs:label "Harper's tag"@en ; "tag in Harper's Magazine"@en . ### https://portal.mardi4nfdi.de/entity/P2043 rdf:type owl:AnnotationProperty ; rdfs:label "Mathlib Declaration ID"@en ; "identifier for a declaration in Mathlib, the mathematics library of the Lean theorem prover, that formalizes this concept"@en . ### https://portal.mardi4nfdi.de/entity/P2046 rdf:type owl:AnnotationProperty ; rdfs:label "ESCO skill ID"@en ; "identifier for a Skill, in the European multilingual database ESCO v1"@en . ### https://portal.mardi4nfdi.de/entity/P2093 rdf:type owl:AnnotationProperty ; rdfs:label "Springer Nature Subjects Taxonomy ID"@en ; "identifier for a subject area used by Springer Nature for the indexing of content"@en . ### https://portal.mardi4nfdi.de/entity/P2096 rdf:type owl:AnnotationProperty ; rdfs:label "Regensburg Classification"@en ; "identifier used for this class in the Regensburg Classification system"@en . ### https://portal.mardi4nfdi.de/entity/P2097 rdf:type owl:AnnotationProperty ; rdfs:label "Iowa State University Library Vocabularies ID"@en ; "identifier for a subject in the Iowa State University Library Vocabularies"@en . ### https://portal.mardi4nfdi.de/entity/P2098 rdf:type owl:AnnotationProperty ; rdfs:label "CPV Supplementary code"@en ; "supplementary code for Common Procurement Vocabulary (CPV, P5417) expanding the description of the subject of a contract by adding further details regarding the nature or destination of the object of the contract in the EU"@en . ### https://portal.mardi4nfdi.de/entity/P2099 rdf:type owl:AnnotationProperty ; rdfs:label "AccessScience ID"@en ; "identifier for content in the online encyclopedia AccessScience"@en . ### https://portal.mardi4nfdi.de/entity/P2100 rdf:type owl:AnnotationProperty ; rdfs:label "ELSST Thesaurus ID (Version 4 - 2023)"@en ; "identifier for a term in the ELSST (European Language Social Science) Thesaurus (Version 4 - 2023)"@en . ### https://portal.mardi4nfdi.de/entity/P2101 rdf:type owl:AnnotationProperty ; rdfs:label "DFG Science Classification"@en ; "German Research Foundation (DFG) classification of scientific disciplines, research areas, review boards, and subject areas"@en . ### https://portal.mardi4nfdi.de/entity/P2102 rdf:type owl:AnnotationProperty ; rdfs:label "European Education Thesaurus ID"@en ; "identifier for a concept in the European Education Thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P2103 rdf:type owl:AnnotationProperty ; rdfs:label "UKÄ standard classification of Swedish science topics 2011"@en ; "Swedish Higher Education Authority standard for classification of scientific articles from scientists in the higher education system of Sweden"@en . ### https://portal.mardi4nfdi.de/entity/P2104 rdf:type owl:AnnotationProperty ; rdfs:label "Courrier international topic ID"@en ; "identifier for a topic on the Courrier international website"@en . ### https://portal.mardi4nfdi.de/entity/P2105 rdf:type owl:AnnotationProperty ; rdfs:label "LEMAC ID"@en ; "identifier for a subject heading in LEMAC (Llista d'encapçalaments de matèria en català)"@en . ### https://portal.mardi4nfdi.de/entity/P2106 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia Tatarica (tt) Online ID"@en ; "Tatar version of online encyclopedia created by Institute of Tatar encyclopedia of Tatarstan Academy of Sciences"@en . ### https://portal.mardi4nfdi.de/entity/P2107 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia Tatarica (ru) Online ID"@en ; "Russian version of online encyclopedia created by Institute of Tatar encyclopedia of Tatarstan Academy of Sciences"@en . ### https://portal.mardi4nfdi.de/entity/P2108 rdf:type owl:AnnotationProperty ; rdfs:label "Lemmy community ID"@en ; "name of the Lemmy community associated to the subject"@en . ### https://portal.mardi4nfdi.de/entity/P2109 rdf:type owl:AnnotationProperty ; rdfs:label "ScholarGPS field and discipline ID"@en ; "identifier for a field or discipline on ScholarGPS"@en . ### https://portal.mardi4nfdi.de/entity/P2110 rdf:type owl:AnnotationProperty ; rdfs:label "Georgian Encyclopedia ID"@en ; "identifier for an item in the Georgian Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P2111 rdf:type owl:AnnotationProperty ; rdfs:label "NRK topic ID"@en ; "ID for topics in Norway's national broadcaster NRK's web services"@en . ### https://portal.mardi4nfdi.de/entity/P2226 rdf:type owl:AnnotationProperty ; rdfs:label "Römpp online ID"@en ; "identifier for an article in the online version of Römpp"@en . ### https://portal.mardi4nfdi.de/entity/P226 rdf:type owl:AnnotationProperty ; rdfs:label "Mathematics Subject Classification ID"@en ; "identifier of the same topic in the Mathematics Subject Classification (2010)"@en . ### https://portal.mardi4nfdi.de/entity/P2269 rdf:type owl:AnnotationProperty ; rdfs:label "Arabic Ontology lexical concept ID"@en ; "identifier for a lexical concept in the Birzeit University Arabic Ontology database of morphologic entities"@en . ### https://portal.mardi4nfdi.de/entity/P2270 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia of Greater Philadelphia ID"@en ; "alphabetical identifier for an article in the Encyclopedia of Greater Philadelphia"@en . ### https://portal.mardi4nfdi.de/entity/P2271 rdf:type owl:AnnotationProperty ; rdfs:label "Miraheze wiki ID"@en ; "identifier of a topic's wiki on Miraheze"@en . ### https://portal.mardi4nfdi.de/entity/P2272 rdf:type owl:AnnotationProperty ; rdfs:label "CICAP Encyclopedia ID"@en ; "identifier for an article in the CICAP's online encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P2273 rdf:type owl:AnnotationProperty ; rdfs:label "Femiwiki ID"@en ; "identifier for a article in the Femiwiki encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P2277 rdf:type owl:AnnotationProperty ; rdfs:label "Banglapedia ID (Bengali)"@en ; "identifier for a Bengali article on Banglapedia, the national online encyclopedia of Bangladesh"@en . ### https://portal.mardi4nfdi.de/entity/P2305 rdf:type owl:AnnotationProperty ; rdfs:label "Semanticscience Integrated Ontology ID"@en ; "identifier for a concept in the ontology developed for the Bio2RDF and SADI projects"@en . ### https://portal.mardi4nfdi.de/entity/P233 rdf:type owl:AnnotationProperty ; rdfs:label "Unicode character"@en ; "Unicode character representing the item"@en . ### https://portal.mardi4nfdi.de/entity/P234 rdf:type owl:AnnotationProperty ; rdfs:label "Commons category"@en ; "name of the Wikimedia Commons category containing files related to this item (without the prefix \"Category:\")"@en . ### https://portal.mardi4nfdi.de/entity/P235 rdf:type owl:AnnotationProperty ; rdfs:label "BNCF Thesaurus ID"@en ; "identifier in the subject indexing tool of the National Central Library of Florence"@en . ### https://portal.mardi4nfdi.de/entity/P2350 rdf:type owl:AnnotationProperty ; rdfs:label "has immediate cause"@en ; "nearest, proximate thing that directly resulted in the subject as outcome or effect. Used in conjunction with 'has cause' (i.e. underlying cause) and 'has contributing factor'. See 'Help:Modeling causes'."@en . ### https://portal.mardi4nfdi.de/entity/P236 rdf:type owl:AnnotationProperty ; rdfs:label "topic's main category"@en ; "main Wikimedia category"@en . ### https://portal.mardi4nfdi.de/entity/P238 rdf:type owl:AnnotationProperty ; rdfs:label "Commons gallery"@en ; "name of the Wikimedia Commons gallery page(s) related to this item (is suitable to allow multiple links to more gallery pages)"@en . ### https://portal.mardi4nfdi.de/entity/P239 rdf:type owl:AnnotationProperty ; rdfs:label "Freebase ID"@en ; "identifier for a page in the Freebase database. Format: \"/m/0\" followed by 2 to 7 characters. For IDs starting with \"/g/\", use Google Knowledge Graph ID (P2671)"@en . ### https://portal.mardi4nfdi.de/entity/P240 rdf:type owl:AnnotationProperty ; rdfs:label "equivalent class"@en ; "equivalent class in other ontologies (use property URI)"@en . ### https://portal.mardi4nfdi.de/entity/P241 rdf:type owl:AnnotationProperty ; rdfs:label "PSH ID"@en ; "identifier in the authority database of the Czech Technical Library"@en . ### https://portal.mardi4nfdi.de/entity/P242 rdf:type owl:AnnotationProperty ; rdfs:label "Art & Architecture Thesaurus ID"@en ; "identifier in the Art & Architecture Thesaurus by the Getty Research Institute"@en . ### https://portal.mardi4nfdi.de/entity/P243 rdf:type owl:AnnotationProperty ; rdfs:label "TED topic ID"@en ; "identifier of a topic, in the TED database of talks"@en . ### https://portal.mardi4nfdi.de/entity/P244 rdf:type owl:AnnotationProperty ; rdfs:label "Gran Enciclopèdia Catalana ID (former scheme)"@en ; "identifier for an item in the Gran Enciclopèdia Catalana. Replaced with \"Gran Enciclopèdia Catalana ID (P12385)\"."@en . ### https://portal.mardi4nfdi.de/entity/P247 rdf:type owl:AnnotationProperty ; rdfs:label "Guardian topic ID"@en ; "identifier for a topic at the Guardian newspaper website"@en . ### https://portal.mardi4nfdi.de/entity/P248 rdf:type owl:AnnotationProperty ; rdfs:label "Quora topic ID"@en ; "identifier for a topic on Quora (English language version)"@en . ### https://portal.mardi4nfdi.de/entity/P249 rdf:type owl:AnnotationProperty ; rdfs:label "BBC Things ID"@en ; "identifier in the BBC Things database"@en . ### https://portal.mardi4nfdi.de/entity/P250 rdf:type owl:AnnotationProperty ; rdfs:label "different from"@en ; "item that is different from another item, with which it may be confused"@en . ### https://portal.mardi4nfdi.de/entity/P251 rdf:type owl:AnnotationProperty ; rdfs:label "criterion used"@en ; "property by which a distinction or classification is made"@en . ### https://portal.mardi4nfdi.de/entity/P252 rdf:type owl:AnnotationProperty ; rdfs:label "JSTOR topic ID"@en ; "identifier for a topic at JSTOR"@en . ### https://portal.mardi4nfdi.de/entity/P2596 rdf:type owl:AnnotationProperty ; rdfs:label "learning outcome"@en ; "specific knowledge, skills, and abilities that students are expected to acquire as a result of participating in a particular education program"@en . ### https://portal.mardi4nfdi.de/entity/P265 rdf:type owl:AnnotationProperty ; rdfs:label "has part(s)"@en ; "part of this subject; inverse property of \"part of\" (P37)"@en . ### https://portal.mardi4nfdi.de/entity/P267 rdf:type owl:AnnotationProperty ; rdfs:label "U.S. National Archives Identifier"@en ; "identifier for the United States National Archives and Records Administration's online catalog"@en . ### https://portal.mardi4nfdi.de/entity/P268 rdf:type owl:AnnotationProperty ; rdfs:label "Iconclass notation"@en ; "Iconclass code that corresponds with an artistic theme or concept. For artworks, use P1257 (depicts Iconclass notation)"@en . ### https://portal.mardi4nfdi.de/entity/P269 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopædia Universalis ID"@en ; "identifier for an article in the online version of Encyclopædia Universalis"@en . ### https://portal.mardi4nfdi.de/entity/P270 rdf:type owl:AnnotationProperty ; rdfs:label "BabelNet ID"@en ; "ID in BabelNet encyclopedic dictionary"@en . ### https://portal.mardi4nfdi.de/entity/P273 rdf:type owl:AnnotationProperty ; rdfs:label "subreddit"@en ; "name of the Reddit forum associated to this subject"@en . ### https://portal.mardi4nfdi.de/entity/P274 rdf:type owl:AnnotationProperty ; rdfs:label "Wikimedia outline"@en ; "item about an outline of the topic at Wikimedia sites"@en . ### https://portal.mardi4nfdi.de/entity/P275 rdf:type owl:AnnotationProperty ; rdfs:label "Brockhaus Enzyklopädie online ID"@en ; "identifier for an article in the online version of Brockhaus Enzyklopädie"@en . ### https://portal.mardi4nfdi.de/entity/P276 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopædia Britannica Online ID"@en ; "identifier for an article in the online version of Encyclopædia Britannica"@en . ### https://portal.mardi4nfdi.de/entity/P278 rdf:type owl:AnnotationProperty ; rdfs:label "MeSH descriptor ID"@en ; "identifier for Descriptor or Supplementary concept in the Medical Subject Headings controlled vocabulary"@en . ### https://portal.mardi4nfdi.de/entity/P279 rdf:type owl:AnnotationProperty ; rdfs:label "Klexikon article ID"@en ; "ID of an article in Klexikon"@en . ### https://portal.mardi4nfdi.de/entity/P281 rdf:type owl:AnnotationProperty ; rdfs:label "Australian Educational Vocabulary ID"@en ; "ID for curriculum term in one of the controlled vocabularies at Australian education vocabularies"@en . ### https://portal.mardi4nfdi.de/entity/P282 rdf:type owl:AnnotationProperty ; rdfs:label "spoken text audio"@en ; "audio file for the spoken work or Wikipedia article, including audio descriptions"@en . ### https://portal.mardi4nfdi.de/entity/P284 rdf:type owl:AnnotationProperty ; rdfs:label "OmegaWiki Defined Meaning"@en ; "\"Defined Meaning\" on the site"@en . ### https://portal.mardi4nfdi.de/entity/P285 rdf:type owl:AnnotationProperty ; rdfs:label "HDS ID"@en ; "identifier in HDS/HLS/DHS/DSS: Historical Dictionary of Switzerland (Q642074), a national encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P286 rdf:type owl:AnnotationProperty ; rdfs:label "described by source"@en ; "work where this item is described"@en . ### https://portal.mardi4nfdi.de/entity/P292 rdf:type owl:AnnotationProperty ; rdfs:label "UNESCO Thesaurus ID"@en ; "identifier for a concept in the UNESCO Thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P293 rdf:type owl:AnnotationProperty ; rdfs:label "De Agostini ID"@en ; "identifier for a subject on the Enciclopedia De Agostini online"@en . ### https://portal.mardi4nfdi.de/entity/P294 rdf:type owl:AnnotationProperty ; rdfs:label "KBpedia ID"@en ; "identifier for the KBpedia knowledge graph, which provides consistent mappings across seven large-scale public knowledge bases including Wikidata, and is used to promote data interoperability and extraction of training sets for machine learning"@en . ### https://portal.mardi4nfdi.de/entity/P296 rdf:type owl:AnnotationProperty ; rdfs:label "RKD thesaurus ID"@en ; "identifier in the RKD thesaurus (Rijksbureau voor Kunsthistorische Documentatie)"@en . ### https://portal.mardi4nfdi.de/entity/P297 rdf:type owl:AnnotationProperty ; rdfs:label "BBC News topic ID"@en ; "identifier for a topic on the BBC News website"@en . ### https://portal.mardi4nfdi.de/entity/P298 rdf:type owl:AnnotationProperty ; rdfs:label "Twitter topic ID"@en ; "identifier for a topic in Twitter"@en . ### https://portal.mardi4nfdi.de/entity/P300 rdf:type owl:AnnotationProperty ; rdfs:label "GitHub topic"@en ; "GitHub topic for a repository or subject"@en . ### https://portal.mardi4nfdi.de/entity/P301 rdf:type owl:AnnotationProperty ; rdfs:label "PACTOLS thesaurus ID"@en ; "identifier in the PACTOLS archaeology thesaurus by FRANTIQ"@en . ### https://portal.mardi4nfdi.de/entity/P303 rdf:type owl:AnnotationProperty ; rdfs:label "Zhihu topic ID"@en ; "numeric id of topics (tags) of questions on Zhihu, a Chinese question-and-answer website"@en . ### https://portal.mardi4nfdi.de/entity/P304 rdf:type owl:AnnotationProperty ; rdfs:label "WordNet 3.1 Synset ID"@en ; "Synset identifier in Princeton���s WordNet Version 3.1"@en . ### https://portal.mardi4nfdi.de/entity/P305 rdf:type owl:AnnotationProperty ; rdfs:label "Jewish Encyclopedia ID (Russian)"@en ; "Article ID in the Electronic Jewish Encyclopedia in Russian"@en . ### https://portal.mardi4nfdi.de/entity/P306 rdf:type owl:AnnotationProperty ; rdfs:label "Dewey Decimal Classification"@en ; "use with qualifier \"edition (P747)\" with item value \"DDC 23\" or create new item to represent the corresponding DDC edition"@en . ### https://portal.mardi4nfdi.de/entity/P307 rdf:type owl:AnnotationProperty ; rdfs:label "STW Thesaurus for Economics ID"@en ; "identifier for a descriptor of the STW Thesaurus for Economics, linking to literature on economics and business administration"@en . ### https://portal.mardi4nfdi.de/entity/P309 rdf:type owl:AnnotationProperty ; rdfs:label "National Library of Israel J9U ID"@en ; "identifier used by the National Library of Israel"@en . ### https://portal.mardi4nfdi.de/entity/P31 rdf:type owl:AnnotationProperty ; rdfs:label "instance of"@en ; "that class of which this subject is a particular example and member; different from P36 (subclass of); for example: K2 is an instance of mountain; volcano is a subclass of mountain (and an instance of volcanic landform)"@en . ### https://portal.mardi4nfdi.de/entity/P310 rdf:type owl:AnnotationProperty ; rdfs:label "ABC News topic ID"@en ; "identifier of a topic of content on the Australian Broadcasting Corporation website"@en . ### https://portal.mardi4nfdi.de/entity/P312 rdf:type owl:AnnotationProperty ; rdfs:label "YSO ID"@en ; "identifier for a concept in the General Finnish Ontology YSO"@en . ### https://portal.mardi4nfdi.de/entity/P315 rdf:type owl:AnnotationProperty ; rdfs:label "NKCR AUT ID"@en ; "identifier in the Czech National Authority Database (National Library of Czech Republic)"@en . ### https://portal.mardi4nfdi.de/entity/P316 rdf:type owl:AnnotationProperty ; rdfs:label "FactGrid item ID"@en ; "identifier for an item in FactGrid"@en . ### https://portal.mardi4nfdi.de/entity/P318 rdf:type owl:AnnotationProperty ; rdfs:label "Golden ID"@en ; "page ID for the Golden knowledge base"@en . ### https://portal.mardi4nfdi.de/entity/P319 rdf:type owl:AnnotationProperty ; rdfs:label "entry in abbreviations table"@en ; "abbreviation of name of concept in a publication's list of abbreviations"@en . ### https://portal.mardi4nfdi.de/entity/P321 rdf:type owl:AnnotationProperty ; rdfs:label "union of"@en ; "every instance of this class is an instance of at least one class in that list of classes. Use \"list item\" P11260 as qualifiers to specify the list of classes"@en . ### https://portal.mardi4nfdi.de/entity/P324 rdf:type owl:AnnotationProperty ; rdfs:label "National Library of Latvia ID"@en ; "identifier assigned by the National Library of Latvia"@en . ### https://portal.mardi4nfdi.de/entity/P325 rdf:type owl:AnnotationProperty ; rdfs:label "Store norske leksikon ID"@en ; "identifier of an article in the online encyclopedia snl.no"@en . ### https://portal.mardi4nfdi.de/entity/P326 rdf:type owl:AnnotationProperty ; rdfs:label "history of topic"@en ; "item about the historical development of an subject's topic, sample: \"history of Argentina\" for \"Argentina\". To list key events of the topic, use \"significant event\" (P793)"@en . ### https://portal.mardi4nfdi.de/entity/P327 rdf:type owl:AnnotationProperty ; rdfs:label "Pixiv Encyclopedia ID"@en ; "identifier for an article on Pixiv Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P329 rdf:type owl:AnnotationProperty ; rdfs:label "topic's main template"@en ; "the main template relating to a topic"@en . ### https://portal.mardi4nfdi.de/entity/P331 rdf:type owl:AnnotationProperty ; rdfs:label "opposite of"@en ; "item that is in some way the opposite of this item"@en . ### https://portal.mardi4nfdi.de/entity/P332 rdf:type owl:AnnotationProperty ; rdfs:label "Universal Decimal Classification"@en ; "type of library classification"@en . ### https://portal.mardi4nfdi.de/entity/P333 rdf:type owl:AnnotationProperty ; rdfs:label "NALT ID"@en ; "identifier for subject headings in the Agricultural Thesaurus of the United States National Agricultural Library"@en . ### https://portal.mardi4nfdi.de/entity/P335 rdf:type owl:AnnotationProperty ; rdfs:label "Wikidata property"@en ; "main Wikidata property for this item"@en . ### https://portal.mardi4nfdi.de/entity/P337 rdf:type owl:AnnotationProperty ; rdfs:label "Cultureel Woordenboek ID"@en ; "identifier for a concept in the Dutch Cultureel Woordenboek ('Cultural Dictionary')"@en . ### https://portal.mardi4nfdi.de/entity/P339 rdf:type owl:AnnotationProperty ; rdfs:label "source code repository"@en ; "public source code repository"@en . ### https://portal.mardi4nfdi.de/entity/P356 rdf:type owl:AnnotationProperty ; rdfs:label "image"@en ; "image of relevant illustration of the subject; if available, also use more specific properties (sample: coat of arms image, locator map, flag image, signature image, logo image, collage image)"@en . ### https://portal.mardi4nfdi.de/entity/P357 rdf:type owl:AnnotationProperty ; rdfs:label "Stack Exchange tag"@en ; "tag on the Stack Exchange websites"@en . ### https://portal.mardi4nfdi.de/entity/P36 rdf:type owl:AnnotationProperty ; rdfs:label "subclass of"@en ; "this item is a subclass (subset) of that item; all instances of this item are instances of that item; different from P31 (instance of), e.g.: volcano is a subclass of mountain (and an instance of volcanic landform); K2 is an instance of mountain"@en . ### https://portal.mardi4nfdi.de/entity/P366 rdf:type owl:AnnotationProperty ; rdfs:label "Yahoo Answers category"@en ; "category at Yahoo Answers"@en . ### https://portal.mardi4nfdi.de/entity/P367 rdf:type owl:AnnotationProperty ; rdfs:label "IPTC NewsCode"@en ; "NewsCode for an item, as defined by the International Press Telecommunications Council (IPTC)"@en . ### https://portal.mardi4nfdi.de/entity/P37 rdf:type owl:AnnotationProperty ; rdfs:label "part of"@en ; "object of which the subject is a part (if this subject is already part of object A which is a part of object B, then please only make the subject part of object A), inverse property of \"has part\" (P265, see also \"has parts of the class\" (P572))"@en . ### https://portal.mardi4nfdi.de/entity/P371 rdf:type owl:AnnotationProperty ; rdfs:label "IAB code"@en ; "code for an Internet Advertising Bureau (IAB) Quality Assurance Guidelines (QAG) segment"@en . ### https://portal.mardi4nfdi.de/entity/P372 rdf:type owl:AnnotationProperty ; rdfs:label "ASC Leiden Thesaurus ID"@en ; "identifier for a topic, in the African Studies Centre (ASC) Leiden's Thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P373 rdf:type owl:AnnotationProperty ; rdfs:label "Microsoft Academic ID"@en ; "identifier for an object or topic in the Microsoft Academic Graph (until 31 December 2021)"@en . ### https://portal.mardi4nfdi.de/entity/P374 rdf:type owl:AnnotationProperty ; rdfs:label "EuroVoc ID"@en ; "identifier for an area of government activity, in the European Union's EuroVoc thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P375 rdf:type owl:AnnotationProperty ; rdfs:label "MeSH tree code"@en ; "Medical Subject Headings (MeSH) codes are an index and thesaurus for the life sciences (��� MeSH ID, P486)"@en . ### https://portal.mardi4nfdi.de/entity/P376 rdf:type owl:AnnotationProperty ; rdfs:label "UK Parliament thesaurus ID"@en ; "identifier in the thesaurus of subject headings maintained by the librarians in the House of Commons in the UK"@en . ### https://portal.mardi4nfdi.de/entity/P377 rdf:type owl:AnnotationProperty ; rdfs:label "Open Library subject ID"@en ; "identifier for a topic in the Open Library database"@en . ### https://portal.mardi4nfdi.de/entity/P378 rdf:type owl:AnnotationProperty ; rdfs:label "IEV number"@en ; "reference number in the International Electrotechnical Vocabulary"@en . ### https://portal.mardi4nfdi.de/entity/P379 rdf:type owl:AnnotationProperty ; rdfs:label "MetaSat ID"@en ; "identifier for MetaSat, an open metadata vocabulary used to describe space missions"@en . ### https://portal.mardi4nfdi.de/entity/P380 rdf:type owl:AnnotationProperty ; rdfs:label "Namuwiki ID"@en ; "identifier of an article on Namuwiki"@en . ### https://portal.mardi4nfdi.de/entity/P381 rdf:type owl:AnnotationProperty ; rdfs:label "DeCS ID"@en ; "identifier in the Health Sciences Descriptors thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P382 rdf:type owl:AnnotationProperty ; rdfs:label "Treccani's Enciclopedia della Matematica ID"@en ; "identifier for a topic in Treccani's Enciclopedia della Matematica, an Italian encyclopedia regarding mathematics"@en . ### https://portal.mardi4nfdi.de/entity/P383 rdf:type owl:AnnotationProperty ; rdfs:label "Treccani's Enciclopedia Italiana ID"@en ; "identifier for the Enciclopedia Italiana on Treccani website"@en . ### https://portal.mardi4nfdi.de/entity/P384 rdf:type owl:AnnotationProperty ; rdfs:label "pronunciation audio"@en ; "audio file with pronunciation"@en . ### https://portal.mardi4nfdi.de/entity/P385 rdf:type owl:AnnotationProperty ; rdfs:label "Dizionario delle Scienze Fisiche ID"@en ; "identifier for an item in the Dizionario delle Scienze Fisiche on the Institute of the Italian Encyclopaedia website"@en . ### https://portal.mardi4nfdi.de/entity/P386 rdf:type owl:AnnotationProperty ; rdfs:label "Treccani ID"@en ; "identifier for the Treccani website"@en . ### https://portal.mardi4nfdi.de/entity/P387 rdf:type owl:AnnotationProperty ; rdfs:label "All-Science Journal Classification Codes"@en ; "All-Science Journal Classification Codes, used in Elsevier Scopus"@en . ### https://portal.mardi4nfdi.de/entity/P388 rdf:type owl:AnnotationProperty ; rdfs:label "OpenAlex ID"@en ; "identifier for works, grants, authors, institutes, venues, concepts/subjects in OpenAlex"@en . ### https://portal.mardi4nfdi.de/entity/P389 rdf:type owl:AnnotationProperty ; rdfs:label "studied in"@en ; "subject is studied by this science or domain"@en . ### https://portal.mardi4nfdi.de/entity/P391 rdf:type owl:AnnotationProperty ; rdfs:label "Fandom article ID"@en ; "identifier of an article on Fandom (Wikia). Format: subdomain:Page_title"@en . ### https://portal.mardi4nfdi.de/entity/P393 rdf:type owl:AnnotationProperty ; rdfs:label "NE.se ID"@en ; "ID of article on the Swedish Nationalencyklopedin (NE.se) site"@en . ### https://portal.mardi4nfdi.de/entity/P395 rdf:type owl:AnnotationProperty ; rdfs:label "word in DPEJ of RAE ID"@en ; "identifier for a word in the Juridical Spanish Dictionary of the Spanish Royal Academy"@en . ### https://portal.mardi4nfdi.de/entity/P397 rdf:type owl:AnnotationProperty ; rdfs:label "Reddit topic ID"@en ; "identifier of a topic on Reddit"@en . ### https://portal.mardi4nfdi.de/entity/P399 rdf:type owl:AnnotationProperty ; rdfs:label "Analysis & Policy Observatory term ID"@en ; "identifier for a term in the Analysis & Policy Observatory taxonomy"@en . ### https://portal.mardi4nfdi.de/entity/P402 rdf:type owl:AnnotationProperty ; rdfs:label "said to be the same as"@en ; "this item is said to be the same as that item, but it's uncertain or disputed"@en . ### https://portal.mardi4nfdi.de/entity/P437 rdf:type owl:AnnotationProperty ; rdfs:label "field of work"@en ; "specialization of a person or organization; see P106 for the occupation"@en . ### https://portal.mardi4nfdi.de/entity/P447 rdf:type owl:AnnotationProperty ; rdfs:label "Great Russian Encyclopedia Online ID"@en ; "identifier for an entry on the official website of the Great Russian Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P462 rdf:type owl:AnnotationProperty ; rdfs:label "FAST ID"@en ; "authority control identifier in WorldCat's ���FAST Linked Data��� authority file"@en . ### https://portal.mardi4nfdi.de/entity/P463 rdf:type owl:AnnotationProperty ; rdfs:label "social media followers"@en ; "number of subscribers on a particular social media website (use as main statement only; see P3744 instead for qualifier). Qualify with \"point in time\" and property for account. For Twitter, use numeric id."@en . ### https://portal.mardi4nfdi.de/entity/P471 rdf:type owl:AnnotationProperty ; rdfs:label "National Library of Korea ID"@en ; "identifier for name and subject authority in the database of the National Library of Korea"@en . ### https://portal.mardi4nfdi.de/entity/P499 rdf:type owl:AnnotationProperty ; rdfs:label "Provenio UUID"@en ; "UUID of a book owner in the Provenance Database of Book Owners and the Book Provenance Records"@en . ### https://portal.mardi4nfdi.de/entity/P500 rdf:type owl:AnnotationProperty ; rdfs:label "practiced by"@en ; "type of agents that study this subject or work in this profession"@en . ### https://portal.mardi4nfdi.de/entity/P501 rdf:type owl:AnnotationProperty ; rdfs:label "Den Store Danske ID"@en ; "identifier of an article in the online encyclopedia denstoredanske.lex.dk"@en . ### https://portal.mardi4nfdi.de/entity/P502 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia of China (Third Edition) ID"@en ; "identifier for an article in the online version of Encyclopedia of China (Third Edition)"@en . ### https://portal.mardi4nfdi.de/entity/P514 rdf:type owl:AnnotationProperty ; rdfs:label "WikiSkripta ID"@en ; "numeric identifier of a page on wikiskripta.eu"@en . ### https://portal.mardi4nfdi.de/entity/P525 rdf:type owl:AnnotationProperty ; rdfs:label "Cyprus Bibliography ID"@en ; "identifier for an authority in the Cyprus Bibliography (catalogue of all Cypriot publications after 1980)"@en . ### https://portal.mardi4nfdi.de/entity/P541 rdf:type owl:AnnotationProperty ; rdfs:label "Krugosvet article"@en ; "link to article of Russian-language online encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P542 rdf:type owl:AnnotationProperty ; rdfs:label "hashtag"@en ; "reference keyword associated with this item for online communities (do not include the \"#\" symbol which is often used as a prefixed indicator)"@en . ### https://portal.mardi4nfdi.de/entity/P543 rdf:type owl:AnnotationProperty ; rdfs:label "Thesaurus for Graphic Materials ID"@en ; "identifier for indexing visual (graphic) materials by subject and genre/format, maintained by the United States Library of Congress, Prints and Photographs Division"@en . ### https://portal.mardi4nfdi.de/entity/P545 rdf:type owl:AnnotationProperty ; rdfs:label "Google Knowledge Graph ID"@en ; "identifier for Google Knowledge Graph API, starting with \"/g/\". For IDs starting with \"/m/\", use Freebase ID (P646)"@en . ### https://portal.mardi4nfdi.de/entity/P552 rdf:type owl:AnnotationProperty ; rdfs:label "YSA ID"@en ; "identifier for a concept in the General Finnish Thesaurus YSA"@en . ### https://portal.mardi4nfdi.de/entity/P554 rdf:type owl:AnnotationProperty ; rdfs:label "replaces"@en ; "person, state or item replaced. Use \"structure replaces\" (P1398) for structures. Use \"follows\" (P155) if the previous item was not replaced or predecessor and successor are identical"@en . ### https://portal.mardi4nfdi.de/entity/P558 rdf:type owl:AnnotationProperty ; rdfs:label "named after"@en ; "entity or event that inspired the subject's name, or namesake (in at least one language). Qualifier \"applies to name\" (P869) can be used to indicate which one"@en . ### https://portal.mardi4nfdi.de/entity/P572 rdf:type owl:AnnotationProperty ; rdfs:label "has part(s) of the class"@en ; "the subject instance (the subject is not a class) has one or more parts of the object class"@en . ### https://portal.mardi4nfdi.de/entity/P573 rdf:type owl:AnnotationProperty ; rdfs:label "partially coincident with"@en ; "object that partially overlaps with the subject in its instances, parts, or members"@en . ### https://portal.mardi4nfdi.de/entity/P574 rdf:type owl:AnnotationProperty ; rdfs:label "Online PWN Encyclopedia ID"@en ; "identifier for an entry in the online release of the Online PWN Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P579 rdf:type owl:AnnotationProperty ; rdfs:label "follows"@en ; "immediately prior item in a series of which the subject is a part, preferably use as qualifier of P179 [if the subject has replaced the preceding item, e.g. political offices, use \"replaces\" (P1365)]"@en . ### https://portal.mardi4nfdi.de/entity/P581 rdf:type owl:AnnotationProperty ; rdfs:label "followed by"@en ; "immediately following item in a series of which the subject is a part, preferably use as qualifier of P179 [if the subject has been replaced, e.g. political offices, use \"replaced by\" (P1366)]"@en . ### https://portal.mardi4nfdi.de/entity/P624 rdf:type owl:AnnotationProperty ; rdfs:label "significant person"@en ; "person linked to the item in any possible way"@en . ### https://portal.mardi4nfdi.de/entity/P633 rdf:type owl:AnnotationProperty ; rdfs:label "Encyclopedia of Modern Ukraine ID"@en ; "identifier for an entry on the official website of the Encyclopedia of Modern Ukraine"@en . ### https://portal.mardi4nfdi.de/entity/P636 rdf:type owl:AnnotationProperty ; rdfs:label "Catholic Encyclopedia ID"@en ; "page of an article on newadvent.org"@en . ### https://portal.mardi4nfdi.de/entity/P638 rdf:type owl:AnnotationProperty ; rdfs:label "schematic"@en ; "illustration of the structure or operation of an object, system, or process"@en . ### https://portal.mardi4nfdi.de/entity/P639 rdf:type owl:AnnotationProperty ; rdfs:label "NicoNicoPedia ID"@en ; "identifier for an article in NicoNicoPedia"@en . ### https://portal.mardi4nfdi.de/entity/P642 rdf:type owl:AnnotationProperty ; rdfs:label "TDV İslam Ansiklopedisi ID"@en ; "identifier for the Islamic Encyclopedia created by the Turkish religion authority Diyanet"@en . ### https://portal.mardi4nfdi.de/entity/P648 rdf:type owl:AnnotationProperty ; rdfs:label "UMLS CUI"@en ; "NLM Unified Medical Language System (UMLS) controlled biomedical vocabulary unique identifier"@en . ### https://portal.mardi4nfdi.de/entity/P649 rdf:type owl:AnnotationProperty ; rdfs:label "NCI Thesaurus ID"@en ; "identifier in the United States National Cancer Institute Thesaurus, vocabulary for clinical care, translational and basic research, etc"@en . ### https://portal.mardi4nfdi.de/entity/P658 rdf:type owl:AnnotationProperty ; rdfs:label "Archive of Our Own tag"@en ; "tag for this item on \"Archive of Our Own\""@en . ### https://portal.mardi4nfdi.de/entity/P659 rdf:type owl:AnnotationProperty ; rdfs:label "Personality Database profile ID"@en ; "identifier of a human, fictional character, or other entity on the Personality Database website"@en . ### https://portal.mardi4nfdi.de/entity/P660 rdf:type owl:AnnotationProperty ; rdfs:label "Google News topics ID"@en ; "identifier for a subject in the news on Google News"@en . ### https://portal.mardi4nfdi.de/entity/P729 rdf:type owl:AnnotationProperty ; rdfs:label "Basisklassifikation"@en ; "corresponding class in the Basisklassifikation library classification"@en . ### https://portal.mardi4nfdi.de/entity/P730 rdf:type owl:AnnotationProperty ; rdfs:label "Latvian National Encyclopedia Online ID"@en ; "identifier for an article in the website of the Latvian National Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P797 rdf:type owl:AnnotationProperty ; rdfs:label "video"@en ; "relevant video. For images, use the property P18. For film trailers, qualify with \"object has role\" (P560)=\"trailer\""@en . ### https://portal.mardi4nfdi.de/entity/P8 rdf:type owl:AnnotationProperty ; rdfs:label "comment"@en . ### https://portal.mardi4nfdi.de/entity/P82 rdf:type owl:AnnotationProperty ; rdfs:label "Bibliothèque nationale de France ID"@en ; "identifier for the subject issued by BNF (Bibliothèque nationale de France). Format: 8 digits followed by a check-digit or letter, do not include the initial 'cb'."@en . ### https://portal.mardi4nfdi.de/entity/P83 rdf:type owl:AnnotationProperty ; rdfs:label "GND ID"@en ; "identifier from an international authority file of names, subjects, and organizations (please don't use type n = name, disambiguation) - Deutsche Nationalbibliothek"@en . ### https://portal.mardi4nfdi.de/entity/P84 rdf:type owl:AnnotationProperty ; rdfs:label "Biblioteca Nacional de España ID"@en ; "identifier from the authority file of the Biblioteca Nacional de España. Format for persons: \"XX\" followed by 4 to 7 digits"@en . ### https://portal.mardi4nfdi.de/entity/P85 rdf:type owl:AnnotationProperty ; rdfs:label "Library of Congress authority ID"@en ; "Library of Congress name authority (persons, families, corporate bodies, events, places, works and expressions) and subject authority identifier [Format: 1-2 specific letters followed by 8-10 digits (see regex). For manifestations, use P1144]"@en . ### https://portal.mardi4nfdi.de/entity/P856 rdf:type owl:AnnotationProperty ; rdfs:label "Canadian Encyclopedia article ID"@en ; "identifier for articles in the Canadian Encyclopedia"@en . ### https://portal.mardi4nfdi.de/entity/P861 rdf:type owl:AnnotationProperty ; rdfs:label "Great Aragonese Encyclopedia ID"@en ; "identifier in the Spanish language, Aragon-themed, Great Aragonese Encyclopedia (GEA)"@en . ### https://portal.mardi4nfdi.de/entity/P870 rdf:type owl:AnnotationProperty ; rdfs:label "Colon Classification"@en ; "type of library classification, to be used for topics, not for written works; use with qualifier \"edition (P747)\" with item value \"CC 6\" or \"CC 7\""@en . ### https://portal.mardi4nfdi.de/entity/P88 rdf:type owl:AnnotationProperty ; rdfs:label "NDL Authority ID"@en ; "identifier for authority control per the National Diet Library of Japan"@en . ### https://portal.mardi4nfdi.de/entity/P881 rdf:type owl:AnnotationProperty ; rdfs:label "disjoint union of"@en ; "every instance of this class is an instance of exactly one class in that list of classes. Use \"list item\" P11260 as qualifiers to specify the list of classes"@en . ### https://portal.mardi4nfdi.de/entity/P885 rdf:type owl:AnnotationProperty ; rdfs:label "New York Times topic ID"@en ; "identifier for a topic, at the New York Times' website"@en . ### https://portal.mardi4nfdi.de/entity/P887 rdf:type owl:AnnotationProperty ; rdfs:label "Larousse ID"@en ; "identifier for a subject on the 'Encyclop��die Larousse'"@en . ### https://portal.mardi4nfdi.de/entity/P889 rdf:type owl:AnnotationProperty ; rdfs:label "Arabic Ontology ID"@en ; "identifier for external link ontology.birzeit.edu, item equivalent on Q63107058 in English and/or Arabic"@en . ### https://portal.mardi4nfdi.de/entity/P900 rdf:type owl:AnnotationProperty ; rdfs:label "Fandom wiki ID"@en ; "identifier of a topic's wiki, in Fandom.com"@en . ### https://portal.mardi4nfdi.de/entity/P907 rdf:type owl:AnnotationProperty ; rdfs:label "Elhuyar ZTH ID"@en ; "Elhuyar Science and Technology Dictionary has a wide range of terms in four languages (en, es, fr, eu) that can easily be linked to and from Wikidata"@en . ### https://portal.mardi4nfdi.de/entity/P912 rdf:type owl:AnnotationProperty ; rdfs:label "is the study of"@en ; "the object that an academic field studies; distinct from field of work (P101), which is used for human, organization, etc."@en . ### https://portal.mardi4nfdi.de/entity/P914 rdf:type owl:AnnotationProperty ; rdfs:label "UNBIS Thesaurus ID"@en ; "identifier for a concept in the UNBIS Thesaurus"@en . ### https://portal.mardi4nfdi.de/entity/P933 rdf:type owl:AnnotationProperty ; rdfs:label "Australian Thesaurus of Education Descriptors ID"@en ; "identifier for a descriptor in the Australian Thesaurus of Education Descriptors"@en . ### https://portal.mardi4nfdi.de/entity/P95 rdf:type owl:AnnotationProperty ; rdfs:label "has characteristic"@en ; "inherent or distinguishing quality or feature of the entity. Use a more specific property when possible"@en . ### https://portal.mardi4nfdi.de/entity/P984 rdf:type owl:AnnotationProperty ; rdfs:label "symbol represents"@en ; "qualifier for \"in defining formula\" (P983) which indicates the quantity or operator represented by a symbol in the \"defining formula\" (P989)"@en . ### https://portal.mardi4nfdi.de/entity/P985 rdf:type owl:AnnotationProperty ; rdfs:label "TeX string"@en ; "string to show a concept in TeX or LaTeX"@en . ### https://portal.mardi4nfdi.de/entity/P986 rdf:type owl:AnnotationProperty ; rdfs:label "quantity symbol (string)"@en ; "symbol for a mathematical or physical quantity"@en . ### https://portal.mardi4nfdi.de/entity/P987 rdf:type owl:AnnotationProperty ; rdfs:label "quantity symbol (LaTeX)"@en ; "symbol for a mathematical or physical quantity in LaTeX"@en . ### https://schema.org/description rdf:type owl:AnnotationProperty . ################################################################# # Data properties ################################################################# ### https://portal.mardi4nfdi.de/entity/P983 rdf:type owl:DatatypeProperty ; rdfs:label "in defining formula"@en ; "any symbol used in the defining formula (P989)"@en . ### https://portal.mardi4nfdi.de/entity/P989 rdf:type owl:DatatypeProperty ; rdfs:label "defining formula"@en ; "mathematical formula representing a theorem or law"@en . ################################################################# # Classes ################################################################# ### https://portal.mardi4nfdi.de/entity/Q60231 rdf:type owl:Class ; rdfs:label "academic discipline"@en ; "academic field of study or profession"@en . ### https://portal.mardi4nfdi.de/entity/Q6534237 rdf:type owl:Class ; rdfs:label "quantity"@en ; "property that exists in a range of magnitudes or multitudes; property that can exist as a magnitude or multitude"@en . ### https://portal.mardi4nfdi.de/entity/Q6534245 rdf:type owl:Class ; rdfs:label "quantity kind"@en ; "commonality of comparable quantities"@en . ### https://portal.mardi4nfdi.de/entity/Q6534247 rdf:type owl:Class ; rdfs:label "computational task"@en ; "specific computational task associated with a mathematical model. Tasks can differ from each other by the choice of given quantities (input), unknown quantities (output), parameters or constants as well as initial, final or boundary conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6534292 rdf:type owl:Class ; rdfs:label "research problem"@en ; "knowledge gap addressable by research"@en . ### https://portal.mardi4nfdi.de/entity/Q68663 rdf:type owl:Class ; rdfs:label "mathematical model"@en ; "description of a system using mathematical concepts and language"@en . ### https://portal.mardi4nfdi.de/entity/Q96183 rdf:type owl:Class ; rdfs:label "formula"@en ; "equation using mathematical or scientific notation"@en . ################################################################# # Individuals ################################################################# ### https://portal.mardi4nfdi.de/entity/Q116324 rdf:type owl:NamedIndividual , ; rdfs:label "demography"@en ; ; "Q37732"@en ; ; ; ; "Q645688"@en ; ; "statistical and theoretical study of populations: size, composition, and how they change through fertility, mortality, and migration"@en . ### https://portal.mardi4nfdi.de/entity/Q118773 rdf:type owl:NamedIndividual , ; rdfs:label "biochemistry"@en ; "Q7094"@en ; ; ; ; "study of chemical processes in living organisms"@en . ### https://portal.mardi4nfdi.de/entity/Q124919 rdf:type owl:NamedIndividual , ; rdfs:label "agricultural science"@en ; "Q3606845"@en ; "Agricultural science is the academic field concerned with the study of agriculture, food production, and land management using scientific methods. It integrates knowledge from biology, ecology, chemistry, engineering, and economics to improve the efficiency and sustainability of agricultural systems. The field addresses problems such as crop productivity, soil management, resource use, and environmental impacts of farming. Through research and modeling, agricultural science supports evidence-based decision making in food and fiber production. It provides the broader disciplinary context for applied fields such as agronomy, animal science, and agricultural engineering."@en ; ; ; , ; "academic field about agriculture and farming"@en . ### https://portal.mardi4nfdi.de/entity/Q133773 rdf:type owl:NamedIndividual , ; rdfs:label "physical chemistry"@en ; ; "Q11372"@en ; "Note that the distinction between Physical Chemistry and Chemical Physics is not always straight-forward to define."@en ; ; ; , , , , , ; , ; ; ; ; "subdiscipline at the intersection of physics and chemistry, describing chemical concepts utilizing the principles of physics"@en . ### https://portal.mardi4nfdi.de/entity/Q57236 rdf:type owl:NamedIndividual , ; rdfs:label "statistics"@en ; ; "h0002430-statistika"@en ; "Statistics"@en ; "statistics"@en ; "Q12483"@en ; "QA276-QA280"@en ; "statistika-ce7bad"@en ; "4905"@en , "490599"@en ; "mathematics/statistics"@en ; "statistika-1"@en ; ; ; "Statistiek"@en ; ; "904"@en ; "estadistica-0"@en ; "15889"@en ; "eu:Estatistika"@en , "fr:Statistique"@en ; ; "Definition:Statistics"@en ; "statistics"@en ; "concept/045cad95-29a2-44a1-8a40-6734ffb05d55"@en ; "27.05"@en , "27.0501"@en ; "122857"@en ; , ; "85"@en ; "statistics"@en ; "istatistik"@en ; "statistics"@en ; "statistics"@en ; "isut259"@en ; "LEMAC201232780"@en ; "disciplines/180"@en ; "62-XX"@en ; "পরিসংখ্যান"@en ; "Statistics"@en ; "5101"@en ; ; "/m/06mnr"@en ; "8068"@en ; "300026924"@en ; "statistics"@en ; "0106145"@en ; "Statistics-academic-discipline"@en , "Statistics-college-major"@en ; "8e193d38-4b7c-4cac-965c-17a87601de77"@en ; ; "statistics"@en ; , ; , ; "10643325"@en , "10659134"@en ; "00074061n"@en ; "statistics"@en ; ; "science/statistics"@en ; "D013223"@en ; "3618"@en ; "013798"@en ; , , , , , , , , , , , ; "concept119"@en ; "Statistics"@en ; "statistics"@en ; "pcrtFJ1mxd5cGS"@en ; "19558740"@en , "19641968"@en ; "06027814-n"@en ; "001.422"@en ; "19581-1"@en ; "987007531886805171"@en ; "12053"@en , "3591"@en ; "ph116273"@en ; "Q1194458"@en ; "000071111"@en ; "statistikk"@en ; ; ; "5478"@en , "8465"@en ; "wiskunde/statistiek"@en ; , ; , ; , ; , ; "294939180"@en ; "105795698"@en ; "4256"@en ; "E05.318.740"@en , "H01.548.832"@en , "N05.715.360.750"@en , "N06.850.520.830"@en ; "93119"@en ; "statistics"@en ; "통계학"@en ; "statistica"@en ; "1804"@en ; "C105795698"@en ; ; "math:Statistics"@en ; "estadística"@en ; "statistics"@en ; "21098"@en ; "535016"@en ; "KSH1998008399"@en ; ; "statistik"@en ; "208374"@en ; "statistics"@en ; "統計学"@en ; "C0038215"@en ; "C17167"@en ; "256314"@en ; "11938470p"@en ; "4056995-0"@en ; "sh85127580"@en ; "00573173"@en ; "animations/Statistiques_moyenne_et_écart-type/1100651"@en , "divers/statistique/93724"@en ; , , ; "3126"@en ; ; "study of the collection, analysis, interpretation, and presentation of data"@en . ### https://portal.mardi4nfdi.de/entity/Q59308 rdf:type owl:NamedIndividual , ; rdfs:label "chemistry"@en ; ; "h0001591-chemie"@en ; "18-206303"@en ; "chemistry-in-action"@en ; "chemistry"@en ; "Q2329"@en ; "khimiia-04c5b9"@en ; "34"@en , "3499"@en , "349999"@en ; "chemistry/chemistry"@en ; "chemija"@en ; ; ; "E0064931"@en ; "Scheikunde"@en ; "化学"@en ; ; "667"@en ; "es:Química"@en , "fr:Chimie"@en , "it:Chimica"@en ; ; "Definition:Chemistry"@en ; "Chemistry"@en ; "chemistry"@en ; , , ; "concept/8287cf1f-80ed-453b-80a9-1cf873f04ed9"@en ; "47c19971-e89f-4c8a-9f67-721098fd7037"@en ; "174260"@en ; , ; "kjemi"@en ; "chemistry"@en ; "chemistry"@en ; "cde9911c-f92e-4de1-811f-336e177ac4ce"@en ; "chemistry"@en ; "isut062"@en ; "31"@en ; "2840"@en ; "104"@en ; "razdely/nauka/himiya"@en ; "razdely/nauka/himiya"@en ; "chemistry@mander.xyz"@en ; "disciplines/37"@en ; "RD-03-01137"@en ; "chemistry"@en ; "chemistry"@en ; "100410"@en ; "18850"@en ; "Chemistry"@en ; "788"@en ; ; "Chemistry"@en ; "/m/01lj9"@en ; "5450"@en ; "300054537"@en ; "chemistry"@en ; "education/chemistry"@en ; "Chemistry"@en ; "31858331-d40d-4fbd-a36b-24f0a0fa87ea"@en ; ; "chemistry"@en ; , , , , , , , , , ; "10636623"@en ; "49E3"@en ; "chimie-la-chimie-aujourd-hui"@en ; "00018123n"@en ; "chemistry"@en ; "science/chemistry"@en ; "D002621"@en ; "Chemie"@en ; "framework/S500"@en ; "567"@en ; "008259"@en ; , , , , , , , , , ; "concept143"@en ; "Chemistry"@en ; "80753"@en ; "c302m85q152t"@en ; "847896929698668544"@en ; "chemistry"@en ; "pcrtTsFUpot5O5"@en ; "06094057-n"@en ; "14526"@en ; "540"@en ; "15638-4"@en ; "987007284921605171"@en ; "chemistry"@en ; "1801"@en ; "ph114237"@en ; "Q245807"@en ; "Chemistry-VJN"@en ; "kimya."@en ; "kjemi"@en ; ; "54"@en ; "8467"@en ; ; ; ; "mediatopic/20000725"@en ; "466"@en ; "185592680"@en ; "5966"@en ; "H01.181"@en ; "90494"@en ; "chemistry"@en ; "화학"@en ; "2667"@en ; , , ; "chimica"@en ; "16"@en , "1601"@en ; "C185592680"@en ; ; "1901688"@en ; "KSH1998010841"@en ; "7712d205-693e-4ac3-8658-4917b1f0c42d"@en ; , ; "kemi"@en ; "509549"@en ; "32770"@en ; "nauka_i_tehnika/himiya/HIMIYA.html"@en ; "chemistry"@en ; "Y96067"@en ; ; ; , , ; "化学"@en ; "kimya"@en ; "C0007996"@en ; "C16414"@en ; "Chemistry"@en ; "256160"@en ; "35"@en ; 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rdfs:label "Egyptology"@en ; ; "Q145903"@en ; ; ; , ; "Q1300700"@en ; ; ; "scientific study of ancient Egypt"@en . ### https://portal.mardi4nfdi.de/entity/Q6480497 rdf:type owl:NamedIndividual , ; rdfs:label "latitude"@en ; "Q34027"@en ; "Latitude specifies the angular position of a location north or south of the equator. It determines the seasonal amplitude of daylength variation."@en ; ; ; "angle between zenith and a plane parallel to the equator"@en . ### https://portal.mardi4nfdi.de/entity/Q65133 rdf:type owl:NamedIndividual , ; rdfs:label "archaeology"@en ; ; "Q23498"@en ; ; ; , ; "Q245486"@en ; ; "study of the past via material culture"@en . ### https://portal.mardi4nfdi.de/entity/Q6534266 rdf:type owl:NamedIndividual , ; rdfs:label "coupling condition"@en ; ; ; "mathematical formulation, i.e., typically an equation, serving to model the interaction of two or more (sub-)systems that are interacting with each other"@en . ### https://portal.mardi4nfdi.de/entity/Q6534267 rdf:type owl:NamedIndividual , ; rdfs:label "final condition"@en ; ; ; "state of one or multiple variables of a system at the end of an evolution"@en . ### https://portal.mardi4nfdi.de/entity/Q6534301 rdf:type owl:NamedIndividual , ; "Ĥ"@en , "T̂"@en , "V̂"@en ; "Ĥ≡T̂+V̂"@en ; rdfs:label "Hamiltonian operator"@en ; "Q660488"@en ; "In quantum mechanics, this is the operator representing the total energy of a quantum system, thus giving the possible outcomes of energy measurements as well as its time evolution."@en ; ; ; ; , , , , , , , , ; ; ; "operator representing the total energy of a quantum system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V̂"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534302 rdf:type owl:NamedIndividual , ; rdfs:label "reduced Planck constant"@en ; "Q2115969"@en ; "A physical constant that is the quantum of action in quantum mechanics. The Planck constant was first described as the proportionality constant between the energy of a photon and the frequency of its associated electromagnetic wave."@en , "Note that this is the reduced Planck constant, i.e., the Planck constant divided by 2 π; mathematical symbol h-bar."@en ; ; ; ; "PlanckConstant"@en ; ; "quantum of action in quantum mechanics"@en . ### https://portal.mardi4nfdi.de/entity/Q6534303 rdf:type owl:NamedIndividual , ; rdfs:label "quantum state vector (dynamic)"@en ; "Abstract (Dirac) notation as dynamic quantum states or wave functions in coordinate representation."@en ; ; ; ; ; "solutions of the time-dependent Schrödinger equation, giving the time evolution of a (closed) quantum system"@en . ### https://portal.mardi4nfdi.de/entity/Q6534304 rdf:type owl:NamedIndividual , ; rdfs:label "time"@en ; ; "Q11471"@en ; "𝖳"@en ; ; ; "Time"@en ; , , , , , , , ; ; ; "dimension in which events can be ordered from the past through the present into the future"@en . ### https://portal.mardi4nfdi.de/entity/Q6534305 rdf:type owl:NamedIndividual , ; "ℏ"@en , "H"@en , "t"@en , "ψ(t)"@en , "i"@en ; "iℏ∂∂t|ψ(t)⟩=Ĥ|ψ(t)⟩"@en ; rdfs:label "time-dependent Schrödinger equation"@en ; "Fundamental postulate of Quantum Mechanics on the time evolution of quantum states."@en ; ; ; , , , , , ; ; , , , , , ; , ; ; "partial differential equation describing how the quantum state of a non-relativistic physical system changes with time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534306 rdf:type owl:NamedIndividual , ; rdfs:label "quantum eigen energy"@en ; "Eigenenergy are obtained as eigenvalues of the Quantum Hamiltonian Operator by solving the time-independent Schrödinger equation."@en ; ; ; ; , , , ; "quantized energy levels that a quantum system can possess"@en . ### https://portal.mardi4nfdi.de/entity/Q6534308 rdf:type owl:NamedIndividual , ; rdfs:label "quantum state vector (stationary)"@en ; "Abstract (Dirac) notation as stationary quantum states or wave functions in coordinate representation."@en ; ; ; ; ; "solutions of the time-independent Schrödinger equation, giving stationary states of a (closed) quantum system"@en . ### https://portal.mardi4nfdi.de/entity/Q6534309 rdf:type owl:NamedIndividual , ; rdfs:label "quantum number"@en ; ; "Q232431"@en ; "In quantum physics and chemistry, quantum numbers are quantities that characterize the possible states of the system. Quantum numbers are closely related to eigenvalues of observables. When the corresponding observable commutes with the Hamiltonian, the quantum number is said to be \"good\", and acts as a constant of motion in the quantum dynamics."@en ; ; ; "quantities that characterize the possible states of the system"@en . ### https://portal.mardi4nfdi.de/entity/Q6534310 rdf:type owl:NamedIndividual , ; "H"@en , "n"@en , "En"@en , "ψn"@en ; "Ĥ|ψn⟩=En|ψn⟩"@en ; rdfs:label "time-independent Schrödinger equation"@en ; ; "Q25829357"@en ; ; ; ; ; , , , ; ; "eigenvalue equation for the quantum-mechanical Hamiltonian operator, yielding stationary states (wave functions), along with their corresponding energies"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "En"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534312 rdf:type owl:NamedIndividual , ; "Γ"@en , "C^"@en ; "C^j,k≡Γk→k|j⟩⟨k|"@en ; rdfs:label "jump operator"@en ; "Quantum jump operators can be used - together with quantum damping rates - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)."@en ; ; ; ; "operator describing the dissipation and/or decoherence of open system quantum dynamics in a Lindblad equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534313 rdf:type owl:NamedIndividual , ; rdfs:label "quantum damping rate"@en ; "Quantum damping rates can be used - together with quantum jump operators - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)."@en ; ; ; , ; ; "rate at which quantum coherence is lost in a system due to interactions with its environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6534315 rdf:type owl:NamedIndividual , ; rdfs:label "quantum density operator"@en ; ; ; , ; "matrix that describes an ensemble of physical systems as quantum states"@en . ### https://portal.mardi4nfdi.de/entity/Q6534317 rdf:type owl:NamedIndividual , ; "ℏ"@en , "H"@en , "L"@en , "t"@en , "γ>0"@en , "ρ"@en , "i"@en ; "ddtρ=−iℏ[H,ρ]+∑k=1N2−1γk(LkρLk†−12[Lk†Lk,ρ]+)"@en ; rdfs:label "Lindblad equation"@en ; "Q4476520"@en ; "Markovian quantum master equation for the evolution of quantum mechanical density matrices (pure or mixed states). It generalizes the Schrödinger equation to open quantum systems; that is, systems in contacts with their surroundings. The resulting dynamics is no longer unitary, but still satisfies the property of being trace-preserving and completely positive for any initial condition."@en ; ; ; , ; ; ; "describes open system quantum dynamics including dissipation and/or decoherence"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ>0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534318 rdf:type owl:NamedIndividual , ; rdfs:label "permittivity"@en ; ; "Q211569"@en ; "In electromagnetism, the absolute permittivity, often simply called permittivity is a measure of the electric polarizability of a dielectric material. It is given as the product of the vacuum dielectric permittivity and the relative permittivity of the material. Permittivities may be complex and frequency-dependent."@en ; ; ; "Permittivity"@en ; ; ; "measure of the electric polarizability of a dielectric material"@en . ### https://portal.mardi4nfdi.de/entity/Q6534319 rdf:type owl:NamedIndividual , ; rdfs:label "electric potential"@en ; ; "Q55451"@en ; ; ; "ElectricPotential"@en ; ; "line integral of the electric field"@en . ### https://portal.mardi4nfdi.de/entity/Q6534320 rdf:type owl:NamedIndividual , ; "ϕ"@en , "ϵs"@en ; "−∇(ϵs∇ϕ)=0"@en ; rdfs:label "Laplace equation for the electric potential"@en ; ; ; , ; ; "in electrostatics, the Laplace equation characterizes the electrostatic potential in the absence of charges"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵs"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534323 rdf:type owl:NamedIndividual , ; rdfs:label "electric charge"@en ; ; "Q1111"@en ; "𝖳𝖨"@en ; ; ; "ElectricCharge"@en ; ; ; "physical property that quantifies an object's interaction with electric fields"@en . ### https://portal.mardi4nfdi.de/entity/Q6534324 rdf:type owl:NamedIndividual , ; "H"@en , "q"@en , "ϕ"@en , "H0"@en ; "H≡H0+qϕ"@en ; rdfs:label "quantum Hamiltonian (electric charge)"@en ; ; ; ; ; "quantum-mechanical Hamiltonian for a particle with an electric charge interacting with external electric fields"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534325 rdf:type owl:NamedIndividual , ; rdfs:label "applied external voltage"@en ; ; ; "external voltage at an Ohmic contact in semiconductor physics|technology"@en . ### https://portal.mardi4nfdi.de/entity/Q6534326 rdf:type owl:NamedIndividual , ; rdfs:label "electrode interfaces"@en ; "Positions of the electrode interfaces. Typically used to specify boundary conditions for electric fields or electron|hole densities in semiconductor-metal interfaces (Ohmic contacts)."@en ; ; ; "positions of the electrode interfaces"@en . ### https://portal.mardi4nfdi.de/entity/Q6534329 rdf:type owl:NamedIndividual , ; "k"@en , "t"@en , "ψ"@en , "Uk"@en , "Γk"@en , "ψ0,k"@en ; "ψ(𝐫,t)|Γk=ψ0,k+Uk(t)"@en ; rdfs:label "Dirichlet boundary condition for electric potential"@en ; ; ; ; "Dirichlet boundary condition for the electric potential at an interface"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Uk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ0,k"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534333 rdf:type owl:NamedIndividual , ; "t"@en , "ψ"@en , "𝝂"@en , "ΓN"@en ; "𝝂⋅∇ψ(𝐫,t)|ΓN=0"@en ; rdfs:label "Neumann boundary condition for electric potential"@en ; ; ; ; "typically used to indicate that the electric field should be perpendicalar to an electrode interface"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝝂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΓN"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534334 rdf:type owl:NamedIndividual , ; rdfs:label "length of unit cell"@en ; ; ; "defines the size of the repeating unit in a crystal structure"@en . ### https://portal.mardi4nfdi.de/entity/Q6534337 rdf:type owl:NamedIndividual , ; "L"@en , "t"@en , "ϕ"@en ; "ϕ(r,t)=ϕ(r+L,t)"@en ; rdfs:label "periodic boundary condition for electric potential"@en ; "Example: The SiQbus electron shuttling device contains periodically repeated unit cells with four clavier gates each."@en ; ; ; "periodic boundary condition for electric potential, e.g., for modeling devices with repeated units"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534338 rdf:type owl:NamedIndividual , ; rdfs:label "optimal control"@en ; ; "Q1971426"@en ; "Finding controls, e.g. external forces|fields, such that they drive a given control system from a given initial state to a specific final state (target), typically with constraints such as using not too high fields (cost)."@en ; ; ; , , , , , , , , ; , ; "branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized"@en . ### https://portal.mardi4nfdi.de/entity/Q6534339 rdf:type owl:NamedIndividual , ; rdfs:label "quantum time evolution"@en ; ; ; , , , , , , , , , , , , , ; "given the quantum state of a quantum system at initial time, the task is to predict the quantum state at later time"@en . ### https://portal.mardi4nfdi.de/entity/Q6534340 rdf:type owl:NamedIndividual , ; rdfs:label "quantum stationary states"@en ; ; ; , , , ; ; ; "given a quantum Hamiltonian, the task is to find solutions of the time-independent Schrödinger equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6534341 rdf:type owl:NamedIndividual , ; rdfs:label "semiconductor charge neutrality"@en ; "At Ohmic contacts, the local charge-neutrality condition is often used to determine the built-in voltage by requiring zero net charge density from mobile carriers and ionized dopants. Unlike global neutrality, which only requires the total integrated charge to vanish, local charge-neutrality applies pointwise. The resulting local charge-neutrality potential can also serve as an initial guess for solving the nonlinear Poisson equation to determine thermodynamic equilibrium."@en ; ; ; , , , , , , ; "concept of local charge neutrality in semiconductor"@en . ### https://portal.mardi4nfdi.de/entity/Q6534342 rdf:type owl:NamedIndividual , ; rdfs:label "electron shuttling model"@en ; "Quantum dynamical modeling of an electron to be shuttled, governed by the electric potential generated by the clavier (and other) gates in a Silicon QuBus device. Spin and valley states as well as the respective interactions are neglected. Moreover, the current model is limited to the coherent wave packet evolution and disregards the effects of noise and dissipation."@en ; ; , , , ; ; , , , , , , ; , ; ; "quantum dynamical model of an electron to be shuttled in a Si/SiGe quantum bus"@en . ### https://portal.mardi4nfdi.de/entity/Q6534343 rdf:type owl:NamedIndividual , ; rdfs:label "spin qbit shuttling"@en ; "Spin-qubit shuttles are novel functional elements in modular architectures of semiconductor quantum processors, that have the capability of solving the scalability problem. Such coherent quantum links serve to interconnect different processor units and enable the transfer of quantum information over longer distances across the chip by physical transport of electrons."@en ; ; ; , , ; , ; ; "novel functional elements in modular architectures of semiconductor quantum processors"@en . ### https://portal.mardi4nfdi.de/entity/Q6534344 rdf:type owl:NamedIndividual , ; rdfs:label "semiconductor physics"@en ; "Q4483523"@en ; ; ; , ; ; ; "study of semiconductor materials and devices"@en . ### https://portal.mardi4nfdi.de/entity/Q6534349 rdf:type owl:NamedIndividual , ; "ℏ"@en , "t"@en , "Ĥ"@en , "ρ̂"@en , "i"@en ; "∂ρ̂∂t=−iℏ[Ĥ,ρ̂]"@en ; rdfs:label "von Neumann equation"@en ; "Q2533076"@en ; "Just as the Schrödinger equation describes how pure states evolve in time, the Liouville-von Neumann equation describes how a density operator evolves in time. Note that there can be different density operators for pure or for mixed states."@en , "Note the similarity with the classical Liouville equation where the commutator brackets [.,.] are replaced by Poisson brackets {.,.}"@en ; ; ; , ; ; , ; "describes how a density operator (for pure or for mixed states) evolves in time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534352 rdf:type owl:NamedIndividual , ; "t"@en , "Ĥ"@en ; "∂∂tĤ=0"@en ; rdfs:label "time independence of Hamiltonian"@en ; ; ; ; "assuming that the Hamiltonian of a quantum system does not dependend on time explicitly"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6534354 rdf:type owl:NamedIndividual , ; "γ"@en ; "γ→0"@en ; rdfs:label "closed system approximation"@en ; "Note that dissipation as well as dephasing (or more formally: the corresponding rates in the Lindblad equation) are neglected."@en ; ; ; , ; "assuming that a quantum system does not interact with its environment"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673688 rdf:type owl:NamedIndividual , ; rdfs:label "acceleration"@en ; ; "Q11376"@en ; "LT−2"@en ; ; ; "Acceleration"@en ; , , ; ; "rate at which the magnitude and/or direction of velocity changes with time"@en . ### https://portal.mardi4nfdi.de/entity/Q6673689 rdf:type owl:NamedIndividual , ; "E"@en , "ϕ"@en ; "E≡−∇ϕ"@en ; rdfs:label "electric field"@en ; ; "Q46221"@en ; "𝖬𝖫𝖳−3𝖨−1"@en ; ; ; "ElectricFieldStrength"@en ; ; "vector field representing the force applied to a charged test particle"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673690 rdf:type owl:NamedIndividual , ; rdfs:label "magnetic field"@en ; ; "Q11408"@en ; "MT−2I−1"@en ; ; ; "MagneticFieldStrength_H"@en ; ; "spatial distribution of vectors allowing the calculation of the magnetic force on a test particle"@en . ### https://portal.mardi4nfdi.de/entity/Q6673691 rdf:type owl:NamedIndividual , ; rdfs:label "angular momentum"@en ; ; "Q161254"@en ; "𝖬𝖫2𝖳−1"@en ; ; ; "AngularMomentum"@en ; ; "moment of momentum"@en ; ; "measure of the extent to which an object will continue to rotate in the absence of an applied torque"@en . ### https://portal.mardi4nfdi.de/entity/Q6673692 rdf:type owl:NamedIndividual , ; rdfs:label "voltage"@en ; ; "Q25428"@en ; "𝖫2𝖬𝖳−3𝖨−1"@en ; ; ; "Voltage"@en ; , , , ; "difference in electric potential between two points (indicated in volt)"@en . ### https://portal.mardi4nfdi.de/entity/Q6673693 rdf:type owl:NamedIndividual , ; "A"@en , "dA"@en ; "A=∫dA"@en ; rdfs:label "area"@en ; , , ; "Area"@en ; "area"@en ; "Q11500"@en ; "Area"@en ; "ploshchad-v-matematike-c79bb2"@en ; "Area"@en ; "𝖫2"@en ; ; ; "E0012615"@en ; "Oppervlakte"@en ; "area"@en , "area_res-85def1d6-adad-11eb-94e0-00271042e8d9"@en ; "fr:Aire"@en ; "Area"@en ; "2980"@en ; "Area"@en ; , ; "concept/e45010ca-186b-4371-a925-1b54067f7a01"@en ; "area"@en ; "area"@en ; ; "A0E0L2I0M0H0T0D0"@en ; , ; "areal"@en ; ; "Area"@en ; "39330"@en ; ; "/m/0n0j"@en ; "7492"@en ; , ; "00005513n"@en ; "science/area"@en ; "scot/1601"@en ; , , , , ; "àrea+(geometria)"@en ; "Area"@en ; "19659100"@en ; "05135784-n"@en ; "987007295555305171"@en ; "6765"@en ; ; "areal"@en ; ; ; ; , , , , , ; "102-04-33"@en ; "area"@en ; "넓이"@en ; "area"@en ; "area"@en ; ; "area"@en ; "math:Area"@en ; "areal"@en ; "/g/121m79fz"@en ; ; ; "面積"@en ; "12172891w"@en ; "4193807-0"@en ; "sh85006984"@en ; "C152"@en ; "2290"@en ; "S"@en ; "A"@en , "S"@en ; "measure of the extent of a two-dimensional region on a curved surface or flat plane"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dA"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673694 rdf:type owl:NamedIndividual , ; rdfs:label "rate"@en ; ; "Q1144560"@en ; ; ; , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ; "quantity of process intensivity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673695 rdf:type owl:NamedIndividual , ; rdfs:label "azimuthal angle"@en ; ; "Q116757767"@en ; ; ; "Azimuth"@en ; ; "angle in the spherical coordinate system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673696 rdf:type owl:NamedIndividual , ; rdfs:label "energy"@en ; ; "Q11379"@en ; "𝖫2𝖬𝖳−2"@en ; ; ; "Energy"@en ; , , , , ; ; "quantitative property of a physical system, recognizable in the performance of work and in the form of heat and light"@en . ### https://portal.mardi4nfdi.de/entity/Q6673697 rdf:type owl:NamedIndividual , ; rdfs:label "temperature"@en ; ; "Q11466"@en ; "Θ"@en ; ; ; "Temperature"@en ; , , ; ; ; "physical property of matter that quantitatively expresses the common notions of hot and cold"@en . ### https://portal.mardi4nfdi.de/entity/Q6673699 rdf:type owl:NamedIndividual , ; rdfs:label "concentration"@en ; ; "Q3686031"@en ; ; ; "Concentration"@en ; , , , , , , , , , , , , , , , , , , , , , , , , , , ; ; "abundance of a constituent divided by the total volume of a mixture"@en . ### https://portal.mardi4nfdi.de/entity/Q6673700 rdf:type owl:NamedIndividual , ; rdfs:label "deformation"@en ; ; "Q2672013"@en ; ; ; ; ; "in engineering or in continuum mechanics, any changes in the shape or size of a matter object"@en . ### https://portal.mardi4nfdi.de/entity/Q6673701 rdf:type owl:NamedIndividual , ; rdfs:label "capacitance"@en ; ; "Q164399"@en ; "𝖫−2𝖬−1𝖳4𝖨2"@en ; ; ; "Capacitance"@en ; ; ; "ability of a body to store electrical charge"@en . ### https://portal.mardi4nfdi.de/entity/Q6673702 rdf:type owl:NamedIndividual , ; rdfs:label "position vector"@en ; ; "Q192388"@en ; "𝖫"@en ; ; ; , , ; "vector representing the position of a point with respect to a given origin and axes"@en . ### https://portal.mardi4nfdi.de/entity/Q6673703 rdf:type owl:NamedIndividual , ; rdfs:label "length"@en ; ; "Q36253"@en ; "𝖫"@en ; ; ; "Length"@en ; , , , , , , , , , , , , , , , , , , , , , ; "measured dimension of an object"@en . ### https://portal.mardi4nfdi.de/entity/Q6673704 rdf:type owl:NamedIndividual , ; rdfs:label "force"@en ; ; "Q11402"@en ; "𝖬𝖫𝖳−2"@en ; ; ; "Force"@en ; , , , , ; ; "physical influence that tends to cause an object to change motion unless opposed by other forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6673705 rdf:type owl:NamedIndividual , ; rdfs:label "mass"@en ; ; "Q11423"@en ; "𝖬"@en ; ; ; "Mass"@en ; , , , , , ; ; "property of matter to resist changes of the state of motion and to attract other bodies"@en . ### https://portal.mardi4nfdi.de/entity/Q6673706 rdf:type owl:NamedIndividual , ; rdfs:label "momentum"@en ; ; "Q41273"@en ; "𝖬𝖫𝖳−1"@en ; ; ; "Momentum"@en ; , ; ; "conserved physical quantity related to the motion of a body"@en . ### https://portal.mardi4nfdi.de/entity/Q6673707 rdf:type owl:NamedIndividual , ; rdfs:label "velocity"@en ; ; "Q11465"@en ; "𝖫𝖳−1"@en ; ; ; "Velocity"@en ; , , , , , , , , ; ; "rate of change of the position of an object as a function of time, and the direction of that change"@en . ### https://portal.mardi4nfdi.de/entity/Q6673708 rdf:type owl:NamedIndividual , ; "x"@en , "y"@en , "z"@en , "i"@en ; "z=x+iy"@en ; rdfs:label "complex number"@en ; "i109010"@en ; ; "0212716-komplexni-cisla"@en ; "ComplexNumber"@en ; "complex-numbers"@en ; "Q11567"@en ; "Complex_number"@en ; "kompleksnoe-chislo-a7c76d"@en ; ; "physics-and-astronomy/complex-numbers"@en ; ; ; "nombre-complex"@en ; "fr:Nombre_complexe"@en ; "Definition:Complex_Number"@en ; "complex+number"@en ; ; "concept/fc8389e4-8646-4c27-a7b7-37f46cb97ebc"@en ; ; , ; "1.9.E1"@en ; "Complex"@en ; "152900"@en ; "151073532"@en ; "001443"@en ; "Complex numbers"@en ; "6845"@en ; ; "/m/01rm2"@en ; "7213"@en ; "0153742"@en ; ; "complex-numbers"@en ; , , , ; "nombres-complexes"@en ; "00021375n"@en ; "topic/complex-number"@en ; "scot/4156"@en ; , , ; "ComplexNumber"@en ; "19628033"@en ; "13751538-n"@en ; "512.788"@en ; "987007538749605171"@en ; "7849"@en ; "ph121761"@en ; "000082623"@en ; "komplekse_tall"@en ; "複素数"@en ; ; ; , , , , , ; , , , ; ; "45862120"@en ; "complex_numbers"@en ; "102-02-09"@en ; "복소수"@en ; "numero-complesso"@en ; "komplext-tal"@en ; "110866"@en ; , ; "3932382"@en ; ; ; ; "11981946j"@en ; "4128698-4"@en ; "sh85093211"@en ; "00563643"@en ; ; "293239"@en ; "034079"@en ; , , , , ; "number that can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673709 rdf:type owl:NamedIndividual , ; rdfs:label "monetary cost"@en ; "Q240673"@en ; ; ; , , ; ; "value of money required for e.g. producing, buying or running something"@en . ### https://portal.mardi4nfdi.de/entity/Q6673710 rdf:type owl:NamedIndividual , ; rdfs:label "electric current"@en ; ; "Q29996"@en ; "𝖨"@en ; ; ; "ElectricCurrent"@en ; , , , ; ; "base quantity of the International System of Quantities (ISQ), measured in ampere (A)"@en . ### https://portal.mardi4nfdi.de/entity/Q6673711 rdf:type owl:NamedIndividual , ; rdfs:label "decision variable"@en ; ; ; ; "vector which is to be decided in integer linear program"@en . ### https://portal.mardi4nfdi.de/entity/Q6673712 rdf:type owl:NamedIndividual , ; rdfs:label "mass density"@en ; ; "Q29539"@en ; "𝖫−3𝖬"@en ; ; ; "Density"@en ; , ; ; "mass per volume of a substance"@en . ### https://portal.mardi4nfdi.de/entity/Q6673713 rdf:type owl:NamedIndividual , ; rdfs:label "electrical conductivity"@en ; "Q4593291"@en ; "𝖫−3𝖬−1𝖳3𝖨2"@en ; "When subject to an electric field, the negatively charged electrons and positively charged atomic nuclei are subject to opposite forces and undergo charge separation."@en ; ; ; "Conductivity"@en ; ; ; "physical quantity and property of material describing how readily a given material allows the flow of electric current"@en . ### https://portal.mardi4nfdi.de/entity/Q6673714 rdf:type owl:NamedIndividual , ; rdfs:label "electric dipole moment"@en ; ; "Q735135"@en ; "𝖫𝖳𝖨"@en ; ; ; "vector physical quantity measuring the separation of positive and negative electrical charges within a system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673715 rdf:type owl:NamedIndividual , ; rdfs:label "polarizability"@en ; ; "Q869891"@en ; "𝖬−1𝖳4𝖨2"@en ; ; ; "tendency of matter subjected to an electric field to acquire an electric dipole moment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673716 rdf:type owl:NamedIndividual , ; rdfs:label "pressure"@en ; ; "Q39552"@en ; "𝖫−1𝖬𝖳−2"@en ; ; ; "Pressure"@en ; , ; ; "force applied over an area"@en . ### https://portal.mardi4nfdi.de/entity/Q6673717 rdf:type owl:NamedIndividual , ; rdfs:label "real number"@en ; ; "Q12916"@en ; ; ; , , , , , , , , , , , , , , , ; ; "quantity along a continuous line"@en . ### https://portal.mardi4nfdi.de/entity/Q6673718 rdf:type owl:NamedIndividual , ; rdfs:label "expectation"@en ; ; "Q200125"@en ; ; ; , ; "long-run average value of a random variable"@en . ### https://portal.mardi4nfdi.de/entity/Q6673719 rdf:type owl:NamedIndividual , ; rdfs:label "viscosity"@en ; ; "Q128709"@en ; "𝖬𝖳−1𝖫−1"@en ; ; ; "Viscosity"@en ; , , , ; ; "resistance of a fluid to shear deformation"@en . ### https://portal.mardi4nfdi.de/entity/Q6673720 rdf:type owl:NamedIndividual , ; rdfs:label "frequency"@en ; ; "Q11652"@en ; "𝖳−1"@en ; ; ; "Frequency"@en ; , , , , , ; ; "number of occurrences or cycles per time"@en . ### https://portal.mardi4nfdi.de/entity/Q6673721 rdf:type owl:NamedIndividual , ; rdfs:label "variance"@en ; ; "Q175199"@en ; ; ; ; "expectation of the squared deviation of a random variable from its mean"@en . ### https://portal.mardi4nfdi.de/entity/Q6673722 rdf:type owl:NamedIndividual , ; rdfs:label "mechanical strain"@en ; ; "1"@en ; ; ; "Strain"@en ; , , ; ; "in continuum mechanics, strain is defined as the relative deformation of matter caused by mechanical stress"@en . ### https://portal.mardi4nfdi.de/entity/Q6673723 rdf:type owl:NamedIndividual , ; rdfs:label "mechanical stress"@en ; ; "Q206175"@en ; "𝖫−1𝖬𝖳−2"@en ; "Has components shear stress, normal stress. These macroscopic forces are actually the net result of a very large number of intermolecular forces and collisions between the constituent atoms or molecules."@en ; ; ; "Stress"@en ; , , , , ; "internal forces caused by deformation of a continuous material"@en . ### https://portal.mardi4nfdi.de/entity/Q6673724 rdf:type owl:NamedIndividual , ; rdfs:label "integer"@en ; ; "0217278-cela-cisla"@en ; "Integer"@en ; "integers"@en ; "Q12503"@en ; "Integer"@en ; "1"@en ; ; ; "nombre-enter"@en ; "es:Número_entero"@en , "eu:Zenbaki_oso"@en , "fr:Nombre_entier_relatif"@en ; "Definition:Integer"@en ; "integer"@en ; , , , , , , , , , , , , , , , , , , , , , , , , , , ; "concept/9b1617ee-b360-456c-b019-71509a39f60a"@en ; ; "integer number"@en ; "Integers"@en ; "23876"@en ; ; "/m/03rv4"@en ; ; "7210"@en ; "0234541"@en , "0234544"@en ; ; "whole-numbers"@en ; "00047009n"@en ; "topic/integer"@en ; "scot/5136"@en ; "968897"@en ; "Integer"@en ; "13750609-n"@en ; "512.72"@en ; "11028"@en ; "ph135364"@en ; "heltall"@en ; "整数"@en ; ; , ; ; , , ; ; "4071166"@en ; "integers"@en ; "102-02-02"@en ; "numero-intero"@en ; , ; "heltal"@en ; "Z_-_matematisk_begreb"@en , "heltal"@en ; "3932364"@en ; "整数"@en ; "4134668-3"@en ; "00570428"@en ; ; "293245"@en ; "2323"@en ; "number that can be written without a fractional or decimal component"@en . ### https://portal.mardi4nfdi.de/entity/Q6673725 rdf:type owl:NamedIndividual , ; "x"@en , "y"@en , "θ"@en ; "θ≡arctan⁡(yx)"@en ; rdfs:label "polar angle"@en ; "Q116757614"@en ; ; ; , ; ; "angle in polar or spherical coordinate system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673726 rdf:type owl:NamedIndividual , ; rdfs:label "number"@en ; ; "Q11563"@en ; ; ; ; "mathematical object used to count, label, and measure"@en . ### https://portal.mardi4nfdi.de/entity/Q6673727 rdf:type owl:NamedIndividual , ; rdfs:label "object"@en ; "Q488383"@en ; ; ; ; "anything that may be observed or acted upon by a subject"@en . ### https://portal.mardi4nfdi.de/entity/Q6673728 rdf:type owl:NamedIndividual , ; "r"@en , "x"@en , "y"@en , "z"@en ; "r≡x2+y2+z2"@en ; rdfs:label "radial coordinate"@en ; "Q116610186"@en ; ; ; , , ; ; ; "coordinate in the polar or spherical coordinate system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673729 rdf:type owl:NamedIndividual , ; rdfs:label "torque"@en ; ; "Q48103"@en ; "𝖬𝖫2𝖳−2"@en ; ; ; "Torque"@en ; ; ; "tendency of a force to rotate an object"@en . ### https://portal.mardi4nfdi.de/entity/Q6673730 rdf:type owl:NamedIndividual , ; "t"@en , "FACE"@en , "νM"@en , "𝓁M"@en , "F0M"@en ; "FACE(t)≡F0M⋅a(t)⋅fL(𝓁M(t))⋅fv(νM(t))"@en ; rdfs:label "active contractile force"@en ; ; ; "active force generated by the contractile element"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FACE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "νM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝓁M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F0M"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673731 rdf:type owl:NamedIndividual , ; rdfs:label "maximum isometric muscle force"@en ; ; ; "greatest force a muscle can generate without changing its length"@en . ### https://portal.mardi4nfdi.de/entity/Q6673732 rdf:type owl:NamedIndividual , ; rdfs:label "muscle contraction velocity"@en ; ; ; "muscle contraction velocity (quantity)"@en . ### https://portal.mardi4nfdi.de/entity/Q6673733 rdf:type owl:NamedIndividual , ; rdfs:label "muscle length"@en ; ; ; "length of a muscle"@en . ### https://portal.mardi4nfdi.de/entity/Q6673734 rdf:type owl:NamedIndividual , ; rdfs:label "adjacency matrix"@en ; ; "Q727035"@en ; ; ; , , ; "square matrix used to represent a graph or network"@en . ### https://portal.mardi4nfdi.de/entity/Q6673735 rdf:type owl:NamedIndividual , ; rdfs:label "age of a person"@en ; "Q185836"@en ; ; ; ; "time elapsed since a person (an individual) was born"@en . ### https://portal.mardi4nfdi.de/entity/Q6673736 rdf:type owl:NamedIndividual , ; rdfs:label "Allee threshold"@en ; ; ; ; "population density below which growth becomes negative"@en . ### https://portal.mardi4nfdi.de/entity/Q6673737 rdf:type owl:NamedIndividual , ; rdfs:label "population density"@en ; ; "Q22856"@en ; "Population density is a measure of the number of individuals per unit area, typically expressed as the number of individuals per square kilometer. It is used to study human and animal populations for various administrative and scientific purposes."@en ; ; ; , , , ; ; "measure of the number of individuals per unit area"@en . ### https://portal.mardi4nfdi.de/entity/Q6673738 rdf:type owl:NamedIndividual , ; rdfs:label "electric current density"@en ; ; "Q234072"@en ; ; ; , ; "amount of charge per unit time that flows through a unit area.section"@en . ### https://portal.mardi4nfdi.de/entity/Q6673739 rdf:type owl:NamedIndividual , ; rdfs:label "magnetic constant"@en ; ; "Q1515261"@en ; "The magnetic permeability in a classical vacuum. It is a physical constant that quantifies the strength of the magnetic field induced by an electric current."@en ; ; ; "MagneticConstant"@en ; "strength of the magnetic field induced by an electric current"@en . ### https://portal.mardi4nfdi.de/entity/Q6673740 rdf:type owl:NamedIndividual , ; rdfs:label "permittivity of vacuum"@en ; ; "Q6158"@en ; "M−1L−3T4I2"@en ; "Vacuum permittivity is the value of the absolute dielectric permittivity of classical vacuum. It is an ideal (baseline) physical constant."@en ; ; ; "ElectricConstant"@en ; "physical constant that represents the capability of the vacuum to permit electric field lines"@en . ### https://portal.mardi4nfdi.de/entity/Q6673741 rdf:type owl:NamedIndividual , ; rdfs:label "amplitude of electron wave"@en ; ; ; "amplitude of the wave function representing an electron"@en . ### https://portal.mardi4nfdi.de/entity/Q6673742 rdf:type owl:NamedIndividual , ; rdfs:label "anharmonicity constant"@en ; ; ; , ; "deviation of a physical system from being a harmonic oscillator"@en . ### https://portal.mardi4nfdi.de/entity/Q6673743 rdf:type owl:NamedIndividual , ; rdfs:label "coriolis coupling constant"@en ; ; ; , ; ; "description of the interaction between rotational and vibrational motions, e.g., in molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6673744 rdf:type owl:NamedIndividual , ; rdfs:label "force constant (anharmonic)"@en ; "Cubic, quartic, ... anharmonic force constants are the coefficients of the third, fourth, ... order term in a Taylor expansion of the potential energy wrt displacements from a minimum energy configuration."@en ; ; ; ; , ; "coefficients of the nth (n>=3) order term in a Taylor expansion of the potential energy wrt displacements from a minimum energy configuration"@en . ### https://portal.mardi4nfdi.de/entity/Q6673745 rdf:type owl:NamedIndividual , ; rdfs:label "number of particles"@en ; "For example the number of atoms in a molecule, or the number of molecules in a simulation box."@en ; ; ; "number of constituent particles in that system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673746 rdf:type owl:NamedIndividual , ; rdfs:label "rotational constant"@en ; "In rotational spectroscopy, the energy levels of a molecule are often given in terms of its rotational constant which is inversely proportional to the moment of inertia."@en ; ; ; , , ; "scale of rotational energies in molecular spectroscopy"@en . ### https://portal.mardi4nfdi.de/entity/Q6673747 rdf:type owl:NamedIndividual , ; "T"@en , "ω"@en ; "ω≡2πT"@en ; rdfs:label "vibration frequency (harmonic)"@en ; ; ; , ; "harmonic frequency of vibration, e.g. of a molecule"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673748 rdf:type owl:NamedIndividual , ; rdfs:label "spreading curve (approximate)"@en ; ; ; "approximate spreading curve through time"@en . ### https://portal.mardi4nfdi.de/entity/Q6673749 rdf:type owl:NamedIndividual , ; rdfs:label "number of cities"@en ; ; ; "number of cities in region"@en . ### https://portal.mardi4nfdi.de/entity/Q6673750 rdf:type owl:NamedIndividual , ; rdfs:label "number of regions"@en ; ; ; "number of regions (quantity)"@en . ### https://portal.mardi4nfdi.de/entity/Q6673751 rdf:type owl:NamedIndividual , ; rdfs:label "rate of change of susceptible cities"@en ; ; ; "rate of change of susceptible cities (quantity)"@en . ### https://portal.mardi4nfdi.de/entity/Q6673752 rdf:type owl:NamedIndividual , ; "G"@en , "t"@en , "α"@en , "σ"@en ; "σ≡(G,α)"@en ; rdfs:label "contact network (time-dependent)"@en ; ; ; "tuple of spreading rate and contact network interpreted as time-evolving contact network"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673753 rdf:type owl:NamedIndividual , ; rdfs:label "asymptomatic infection rate"@en ; ; ; "constant representing the asymptomatic infection rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6673754 rdf:type owl:NamedIndividual , ; rdfs:label "asymptomatic recovery rate"@en ; ; ; "constant representing the asymptomatic recovery rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6673755 rdf:type owl:NamedIndividual , ; rdfs:label "attraction force at opinion"@en ; ; ; "attraction force at an individuals opinion by influencers and media"@en . ### https://portal.mardi4nfdi.de/entity/Q6673756 rdf:type owl:NamedIndividual , ; rdfs:label "opinion"@en ; ; "Q3962655"@en ; ; ; , , ; "opinion of a given individual at a given time"@en . ### https://portal.mardi4nfdi.de/entity/Q6673757 rdf:type owl:NamedIndividual , ; rdfs:label "overall distribution of individuals"@en ; ; ; "pattern or arrangement of individuals within a population across a given area or space"@en . ### https://portal.mardi4nfdi.de/entity/Q6673758 rdf:type owl:NamedIndividual , ; rdfs:label "pair function"@en ; "Non-negative pair function used to weight interaction between two individuals, e.g., placing exponentially more weight on close-by individuals or having interactions irrespective of the opinion distance between individuals."@en ; ; ; "non-negative pair function used to weight interaction between two individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673759 rdf:type owl:NamedIndividual , ; rdfs:label "parameter to scale attractive force from influencers"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6673760 rdf:type owl:NamedIndividual , ; rdfs:label "parameter to scale attractive force from media"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6673761 rdf:type owl:NamedIndividual , ; rdfs:label "parameter to scale attractive force from other individuals"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6673762 rdf:type owl:NamedIndividual , ; rdfs:label "average opinion of followers of influencers"@en ; ; ; "opinion of the influencers is drawn towards the average opinion of the followers"@en . ### https://portal.mardi4nfdi.de/entity/Q6673763 rdf:type owl:NamedIndividual , ; rdfs:label "influencer individual matrix"@en ; ; ; "adjacency matrix defining the connections between individuals and influencers at time t"@en . ### https://portal.mardi4nfdi.de/entity/Q6673764 rdf:type owl:NamedIndividual , ; rdfs:label "opinion vector of individuals"@en ; ; ; "vector containing opinions for individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673765 rdf:type owl:NamedIndividual , ; rdfs:label "average opinion of followers of influencers in the partial mean field model"@en ; ; ; "opinion of the influencers is drawn towards the average opinion of the followers"@en . ### https://portal.mardi4nfdi.de/entity/Q6673766 rdf:type owl:NamedIndividual , ; rdfs:label "limiting distribution of individuals"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6673767 rdf:type owl:NamedIndividual , ; rdfs:label "medium influencer fraction limit"@en ; ; ; "fraction of individuals following a specific medium and influencer at a given time with total number of Individuals tending to infinity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673768 rdf:type owl:NamedIndividual , ; rdfs:label "average opinion of followers of media"@en ; ; ; "opinion of the media is drawn towards the average opinion of the followers of that medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6673769 rdf:type owl:NamedIndividual , ; rdfs:label "medium follower matrix"@en ; ; ; "adjacency matrix for medium-follower relations"@en . ### https://portal.mardi4nfdi.de/entity/Q6673770 rdf:type owl:NamedIndividual , ; rdfs:label "average opinion of followers of media in the partial mean field model"@en ; ; ; "opinion of the media is drawn towards the average opinion of the followers of that medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6673771 rdf:type owl:NamedIndividual , ; rdfs:label "control system matrix A"@en ; ; ; "homogeneous part of (linear) input equation for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673772 rdf:type owl:NamedIndividual , ; rdfs:label "control system matrix B"@en ; ; ; "inhomogeneous part of (linear) input equation for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673773 rdf:type owl:NamedIndividual , ; rdfs:label "control system matrix C"@en ; ; ; "linear part of output equation for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673774 rdf:type owl:NamedIndividual , ; rdfs:label "control system matrix N"@en ; ; ; "bilinear part of input equation for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673775 rdf:type owl:NamedIndividual , ; "A"@en , "T"@en , "A~"@en ; "A~≡T−1AT"@en ; rdfs:label "control system matrix A (reduced)"@en ; ; ; "homogeneous part of (linear) input equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673776 rdf:type owl:NamedIndividual , ; "B"@en , "T"@en , "B~"@en ; "B~≡T−1BT"@en ; rdfs:label "control system matrix B (reduced)"@en ; ; ; "inhomogeneous part of (linear) input equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673777 rdf:type owl:NamedIndividual , ; "C"@en , "T"@en , "C~"@en ; "C~≡CT"@en ; rdfs:label "control system matrix C (reduced)"@en ; ; ; "linear part of output equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673778 rdf:type owl:NamedIndividual , ; "N"@en , "T"@en , "N~"@en ; "N~≡T−1NT"@en ; rdfs:label "control system matrix N (reduced)"@en ; ; ; "bilinear part of input equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673779 rdf:type owl:NamedIndividual , ; rdfs:label "MOR transformation matrix"@en ; ; ; "transformation matrix, to be applied to the input-output formulation of linear or bilinear control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673780 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "Wc"@en ; "Wc≡∫0∞eAtiB(−i)B*eA*tdt"@en ; rdfs:label "controllability Gramian"@en ; ; "Q83587"@en ; ; ; ; "matrix used in linear control problems to determine whether a system is controllable"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673781 rdf:type owl:NamedIndividual , ; "A"@en , "C"@en , "Wo"@en ; "Wo≡∫0∞eA*tC*CeAtdt"@en ; rdfs:label "observability Gramian"@en ; ; "Q7075420"@en ; ; ; ; "matrix used in linear control problems to determine whether a system is observable"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673782 rdf:type owl:NamedIndividual , ; rdfs:label "Hankel singular value"@en ; ; "Q5648530"@en ; "In control theory, Hankel singular values, named after Hermann Hankel, are the basis for balanced model reduction, in which controllable and observable states are retained while the remaining states are discarded. The reduced model retains the important features of the original model."@en ; ; ; ; "In control theory, a measure of energy for each state in a system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673783 rdf:type owl:NamedIndividual , ; rdfs:label "band edge energy for conduction band"@en ; ; ; "energy of the lower edge of the electronic conduction band"@en . ### https://portal.mardi4nfdi.de/entity/Q6673784 rdf:type owl:NamedIndividual , ; rdfs:label "band edge energy for valence band"@en ; ; ; "energy of the upper edge of the electronic valence band"@en . ### https://portal.mardi4nfdi.de/entity/Q6673785 rdf:type owl:NamedIndividual , ; rdfs:label "Beavers-Joseph coefficient"@en ; ; ; , ; "coefficient for the coupling of a Stokes model and a Darcy model"@en . ### https://portal.mardi4nfdi.de/entity/Q6673786 rdf:type owl:NamedIndividual , ; rdfs:label "dynamic viscosity"@en ; "Q15152757"@en ; ; ; ; "physical property of a moving fluid in free flow"@en . ### https://portal.mardi4nfdi.de/entity/Q6673787 rdf:type owl:NamedIndividual , ; rdfs:label "fluid intrinsic permeability (porous medium)"@en ; ; ; "measure of the ability of a porous material to allow fluids to pass through it"@en . ### https://portal.mardi4nfdi.de/entity/Q6673788 rdf:type owl:NamedIndividual , ; rdfs:label "fluid velocity (free flow)"@en ; ; ; "vector field used to describe the motion of a fluid in a mathematical manner in free flow"@en . ### https://portal.mardi4nfdi.de/entity/Q6673789 rdf:type owl:NamedIndividual , ; rdfs:label "viscous stress tensor"@en ; ; "Q7935892"@en ; "The viscous stress tensor models stress in continuum mechanics due to strain rate, representing material deformation at a point."@en ; ; ; "models stress in continuum mechanics due to strain rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6673790 rdf:type owl:NamedIndividual , ; rdfs:label "unit normal vector"@en ; ; "Q91093255"@en ; ; ; ; "vector that is normal to some surface (typically an interface), with unit length"@en . ### https://portal.mardi4nfdi.de/entity/Q6673791 rdf:type owl:NamedIndividual , ; rdfs:label "unit tangent vector"@en ; ; "Q106041131"@en ; ; ; "vector that is tangential to a curve or surface at a given point, with unit length"@en . ### https://portal.mardi4nfdi.de/entity/Q6673792 rdf:type owl:NamedIndividual , ; "Δt"@en , "ai"@en , "αik"@en , "Ni"@en ; "ai≡∑k≠iαikΔtNk/Ni"@en ; rdfs:label "between population contact rate"@en ; "Used in multi-population models."@en ; ; ; "contact rate of one sub-population with all other sub-populations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ai"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673793 rdf:type owl:NamedIndividual , ; rdfs:label "contact rate"@en ; ; ; "average number of individuals with whom an infectious individual makes sufficient contact (to pass infection) during a unit time"@en . ### https://portal.mardi4nfdi.de/entity/Q6673794 rdf:type owl:NamedIndividual , ; rdfs:label "time step"@en ; "Typically used in temporal discretization of evolution equations."@en ; ; ; "incremental time step"@en . ### https://portal.mardi4nfdi.de/entity/Q6673795 rdf:type owl:NamedIndividual , ; rdfs:label "total population size"@en ; ; ; "countable quantity representing the number of individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673796 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme concentration"@en ; ; ; ; "amount of enzyme present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673797 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme - product 1 complex concentration"@en ; ; ; "amount of enzyme - product 1 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673798 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme - product 1 - product 2 complex concentration"@en ; ; ; "amount of enzyme - product 1 - product 2 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673799 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme - substrate 1 complex concentration"@en ; ; ; "amount of enzyme - substrate 1 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673800 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme - substrate 1 - substrate 2 complex concentration"@en ; ; ; "amount of enzyme - substrate 1 - substrate 2 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673801 rdf:type owl:NamedIndividual , ; rdfs:label "product 1 concentration"@en ; ; ; "amount of product 1 present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673802 rdf:type owl:NamedIndividual , ; rdfs:label "product 2 concentration"@en ; ; ; "amount of product 2 present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673803 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate constant"@en ; ; "Q658700"@en ; ; ; , , , , ; "quantifies the rate of a chemical reaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6673804 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673805 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme - product 1 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673806 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme - product 1 - product 2 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673807 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme - substrate 1 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673808 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme - substrate 1 - substrate 2 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673809 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of product 1"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673810 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of product 2"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673811 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of substrate 1"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673812 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of substrate 2"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673813 rdf:type owl:NamedIndividual , ; rdfs:label "substrate 1 concentration"@en ; ; ; "amount of substrate 1 present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673814 rdf:type owl:NamedIndividual , ; rdfs:label "substrate 2 concentration"@en ; ; ; "amount of substrate 2 present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673815 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex concentration"@en ; ; ; "amount of enzyme - substrate 1 - substrate 2 = enzyme -product 1 - product 2 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673816 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673817 rdf:type owl:NamedIndividual , ; rdfs:label "intermediate concentration"@en ; ; ; "amount of intermediate present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673818 rdf:type owl:NamedIndividual , ; rdfs:label "intermediate - substrate 2 complex concentration"@en ; ; ; "amount of intermediate - substrate 2 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673819 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of intermediate"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673820 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of intermediate - substrate 2 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673821 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme - product 2 complex concentration"@en ; ; ; "amount of enzyme - product 2 complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673822 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate of enzyme - product 2 complex"@en ; ; ; , ; "reaction rate of specific entity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673824 rdf:type owl:NamedIndividual , ; rdfs:label "birth rate"@en ; ; "Q203516"@en ; "Birth Rate to be used in the SIR and SIS Models with Births and Deaths. Note that, it is assumed that death rate = birth rate."@en ; ; ; "total number of live births per 1,000 population divided by the length of a given period in years"@en . ### https://portal.mardi4nfdi.de/entity/Q6673825 rdf:type owl:NamedIndividual , ; rdfs:label "Boltzmann constant"@en ; ; "Q5962"@en ; ; ; "BoltzmannConstant"@en ; ; "physical constant relating the average relative thermal energy with the thermodynamic temperature"@en . ### https://portal.mardi4nfdi.de/entity/Q6673826 rdf:type owl:NamedIndividual , ; rdfs:label "electron density"@en ; ; "Q905186"@en ; "For use in semiconductor physics."@en ; ; ; , ; "density of electrons per volume"@en . ### https://portal.mardi4nfdi.de/entity/Q6673827 rdf:type owl:NamedIndividual , ; rdfs:label "effective density of states in the conduction band"@en ; ; ; "effective density of available electron states in the conduction band of a semiconductor"@en . ### https://portal.mardi4nfdi.de/entity/Q6673828 rdf:type owl:NamedIndividual , ; rdfs:label "elementary charge"@en ; ; "Q2101"@en ; ; ; "ElementaryCharge"@en ; "electric charge carried by a single proton or a single positron"@en . ### https://portal.mardi4nfdi.de/entity/Q6673829 rdf:type owl:NamedIndividual , ; rdfs:label "quasi-Fermi potential for electrons"@en ; ; ; ; ; "for use in semiconductor physics; related to the quasi-Fermi level"@en . ### https://portal.mardi4nfdi.de/entity/Q6673830 rdf:type owl:NamedIndividual , ; rdfs:label "hole density"@en ; "Q105971101"@en ; "For use in semiconductor physics."@en ; ; ; , ; "density of holes per volume"@en . ### https://portal.mardi4nfdi.de/entity/Q6673831 rdf:type owl:NamedIndividual , ; rdfs:label "effective density of states in the valence band"@en ; ; ; "effective density of available hole states in the valence band of a semiconductor"@en . ### https://portal.mardi4nfdi.de/entity/Q6673832 rdf:type owl:NamedIndividual , ; rdfs:label "quasi-Fermi potential for holes"@en ; ; ; ; ; "for use in semiconductor physics; related to the quasi-Fermi level"@en . ### https://portal.mardi4nfdi.de/entity/Q6673833 rdf:type owl:NamedIndividual , ; rdfs:label "Boolean ring"@en ; ; "Q2634401"@en ; ; ; ; "in mathematics, a ring that consists of only idempotent elements"@en . ### https://portal.mardi4nfdi.de/entity/Q6673834 rdf:type owl:NamedIndividual , ; rdfs:label "object property"@en ; ; ; "property of an object"@en . ### https://portal.mardi4nfdi.de/entity/Q6673835 rdf:type owl:NamedIndividual , ; rdfs:label "displacement muscle tendon"@en ; ; ; ; "displacements of the muscle-tendon connection compared to the stress-free position"@en . ### https://portal.mardi4nfdi.de/entity/Q6673836 rdf:type owl:NamedIndividual , ; rdfs:label "material point displacement"@en ; "Material Point Displacement in the context of the Material Point Method (MPM) refers to the movement of material points, which are used to track physical information like mass and velocity."@en ; ; ; "movement of material points"@en . ### https://portal.mardi4nfdi.de/entity/Q6673837 rdf:type owl:NamedIndividual , ; rdfs:label "material point velocity"@en ; "Material Point Velocity in the context of the Material Point Method (MPM) refers to the velocity assigned to each material point within a simulation."@en ; ; ; "velocity assigned to each material point within a simulation"@en . ### https://portal.mardi4nfdi.de/entity/Q6673838 rdf:type owl:NamedIndividual , ; rdfs:label "Piola-Kirchhoff stress tensors"@en ; ; "Q9291589"@en ; "In the case of finite deformations, the Piola–Kirchhoff stress tensors express the stress relative to the reference configuration. This is in contrast to the Cauchy stress tensor which expresses the stress relative to the present configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en ; ; ; , ; "stress relative to the reference configuration"@en . ### https://portal.mardi4nfdi.de/entity/Q6673839 rdf:type owl:NamedIndividual , ; rdfs:label "external chemical potential"@en ; ; ; "chemical potential on the boundary of a domain, i.e., an interface"@en . ### https://portal.mardi4nfdi.de/entity/Q6673840 rdf:type owl:NamedIndividual , ; rdfs:label "external force density"@en ; "In fluid mechanics, the force density is the negative gradient of pressure. It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en ; ; ; ; "vector field representing the flux density of the hydrostatic force within the bulk of a fluid"@en . ### https://portal.mardi4nfdi.de/entity/Q6673841 rdf:type owl:NamedIndividual , ; rdfs:label "free energy density"@en ; ; ; , ; "measure of the increase in the Helmholtz free energy per unit volume due to distortions"@en . ### https://portal.mardi4nfdi.de/entity/Q6673842 rdf:type owl:NamedIndividual , ; rdfs:label "hydraulic conductivity"@en ; ; "Q2783041"@en ; ; ; "measure of the ability of a porous material to allow water to pass through it"@en . ### https://portal.mardi4nfdi.de/entity/Q6673843 rdf:type owl:NamedIndividual , ; rdfs:label "hyperstress potential"@en ; ; ; "Hyperstress potential in calculations of elasticity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673844 rdf:type owl:NamedIndividual , ; rdfs:label "mechanical deformation (boundary value)"@en ; ; ; "mechanical deformation at a domain boundary"@en . ### https://portal.mardi4nfdi.de/entity/Q6673845 rdf:type owl:NamedIndividual , ; rdfs:label "surface force density"@en ; ; ; "force per unit area acting on a surface"@en . ### https://portal.mardi4nfdi.de/entity/Q6673846 rdf:type owl:NamedIndividual , ; rdfs:label "viscous dissipation potential"@en ; ; ; , ; "describes the conversion of mechanical energy into internal energy due to the viscosity of a fluid"@en . ### https://portal.mardi4nfdi.de/entity/Q6673847 rdf:type owl:NamedIndividual , ; "V"@en , "ρ"@en , "𝒓"@en , "mi"@en , "𝒓i"@en , "𝒓G"@en ; "𝒓G=∫D𝒓ρdV∫DρdV"@en , "𝒓G=∑imi𝒓i∑i𝒓i"@en ; rdfs:label "center of mass"@en ; ; "Q2945123"@en ; "tsentr-inertsii-f43888"@en ; "𝖫"@en ; ; ; "concept/746eaea7-1f79-4e4c-8312-dce9a3a0ab99"@en ; "216"@en ; "jmqq4abb"@en ; "Center of gravity"@en ; "18757"@en ; "/m/017gpx"@en ; ; "center-of-mass"@en ; "00017146n"@en ; "science/center-of-mass"@en , "science/center-of-mass-reference-frame"@en ; , ; "987007284973605171"@en ; "massesenter"@en ; , , ; "31733177"@en ; "113-03-12"@en ; ; "massemidtpunkt"@en ; "109908"@en , "224818"@en ; "nauka_i_tehnika/fizika/TSENTR_MASS.html"@en ; ; "11983251p"@en ; "sh85021847"@en ; "divers/centre_dinertie_dun_système_de_points_matériels/61109"@en ; "unique point where the weighted relative position of a distributed mass sums to zero"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "mi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒓i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒓G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒓"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673848 rdf:type owl:NamedIndividual , ; rdfs:label "center of province"@en ; ; ; "centers of the respective provinces"@en . ### https://portal.mardi4nfdi.de/entity/Q6673849 rdf:type owl:NamedIndividual , ; rdfs:label "centrifugal distortion constant"@en ; "This distortion leads to changes in bond distance and angles, affecting the rotational spectrum."@en ; ; ; , ; "distortion of a molecule caused by the centrifugal force produced by rotation"@en . ### https://portal.mardi4nfdi.de/entity/Q6673850 rdf:type owl:NamedIndividual , ; rdfs:label "change in length"@en ; "Q91308394"@en ; ; ; ; "difference between the current and the original (equilibrium) length"@en . ### https://portal.mardi4nfdi.de/entity/Q6673851 rdf:type owl:NamedIndividual , ; rdfs:label "interaction force"@en ; ; ; "interaction force on individual by media and influencers"@en . ### https://portal.mardi4nfdi.de/entity/Q6673852 rdf:type owl:NamedIndividual , ; rdfs:label "noise strength"@en ; "Noise caused by influences, uncertainties in the communication between individuals or free will."@en ; ; ; "noise modelling unknown external influences"@en . ### https://portal.mardi4nfdi.de/entity/Q6673853 rdf:type owl:NamedIndividual , ; rdfs:label "opinion vector of influencers"@en ; ; ; "vector containing opinions for influencers"@en . ### https://portal.mardi4nfdi.de/entity/Q6673854 rdf:type owl:NamedIndividual , ; rdfs:label "opinion vector of media"@en ; ; ; "vector containing opinions for media agents"@en . ### https://portal.mardi4nfdi.de/entity/Q6673855 rdf:type owl:NamedIndividual , ; rdfs:label "Wiener process"@en ; ; "Q1056809"@en ; "A stochastic process generalizing Brownian motion, used to represent the integral of a white noise Gaussian process."@en ; ; ; ; ; "stochastic process generalizing Brownian motion"@en . ### https://portal.mardi4nfdi.de/entity/Q6673856 rdf:type owl:NamedIndividual , ; rdfs:label "inertia parameter for opinion changes of influencers"@en ; ; ; "parameter indicating resistance to rapid optinion change of influencers"@en . ### https://portal.mardi4nfdi.de/entity/Q6673857 rdf:type owl:NamedIndividual , ; rdfs:label "inertia parameter for opinion changes of media"@en ; ; ; "parameter indicating resistance to rapid optinion change of media agents"@en . ### https://portal.mardi4nfdi.de/entity/Q6673858 rdf:type owl:NamedIndividual , ; rdfs:label "characteristic length"@en ; ; "Q1062974"@en ; ; ; "dimension that defines the scale of a physical system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673859 rdf:type owl:NamedIndividual , ; rdfs:label "chemical potential"@en ; ; "Q737004"@en ; "𝖫2𝖬𝖳−2𝖭−1"@en ; "For example in a chemical reaction or phase transition."@en ; ; ; "ChemicalPotential"@en ; ; "energy that can be absorbed or released due to a change of the particle number of a given species"@en . ### https://portal.mardi4nfdi.de/entity/Q6673860 rdf:type owl:NamedIndividual , ; rdfs:label "particle acceleration"@en ; ; ; "acceleration of a particle in classical mechanics"@en . ### https://portal.mardi4nfdi.de/entity/Q6673861 rdf:type owl:NamedIndividual , ; "h"@en , "p"@en , "λ"@en ; "λ≡hp"@en ; rdfs:label "de Broglie wavelength"@en ; "Q100981463"@en ; "Playing a crucial role for the wave-particle duality in quantum mechanics."@en ; ; ; ; ; ; "wavelength of matter waves in quantum mechanics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673862 rdf:type owl:NamedIndividual , ; rdfs:label "force acting on a particle"@en ; ; ; "vector quantity that describes the ability of an action to modify the movement and shape of an object"@en . ### https://portal.mardi4nfdi.de/entity/Q6673863 rdf:type owl:NamedIndividual , ; rdfs:label "particle position"@en ; ; ; , ; "position of a particle in classical mechanics"@en . ### https://portal.mardi4nfdi.de/entity/Q6673864 rdf:type owl:NamedIndividual , ; rdfs:label "mass diffusivity"@en ; ; "Q604008"@en ; "Diffusion coefficient is usually written as the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient in the concentration of the species."@en ; ; ; ; "proportionality constant between the molar flux and the negative value of the gradient in the concentration of the species"@en . ### https://portal.mardi4nfdi.de/entity/Q6673865 rdf:type owl:NamedIndividual , ; rdfs:label "white noise"@en ; ; "Q381287"@en ; "Delta-correlated stationary Gaussian process with zero-mean, i.e., a random signal with equal intensity at all frequencies, yielding a constant power spectral density."@en ; ; ; "white noise"@en ; "delta-correlated stationary Gaussian process with zero-mean"@en . ### https://portal.mardi4nfdi.de/entity/Q6673866 rdf:type owl:NamedIndividual , ; rdfs:label "classical density (phase space)"@en ; ; ; "probability that the system will be found in the infinitesimal phase space volume"@en . ### https://portal.mardi4nfdi.de/entity/Q6673867 rdf:type owl:NamedIndividual , ; rdfs:label "probability distribution"@en ; ; "Q200726"@en ; "Mathematical function that describes the probability of occurrence of different possible outcomes in a (real world or statistical computer) experiment."@en ; ; ; , , ; "statistical function that describes the likelihood of obtaining all possible values that a random variable can take"@en . ### https://portal.mardi4nfdi.de/entity/Q6673868 rdf:type owl:NamedIndividual , ; rdfs:label "control system input"@en ; ; ; "input to a control system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673869 rdf:type owl:NamedIndividual , ; rdfs:label "drift velocity"@en ; ; "Q909891"@en ; "Average velocity attained by particles due to external forces, e.g. when subjected to an electric field."@en ; ; ; "average velocity attained by particles due to external forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6673870 rdf:type owl:NamedIndividual , ; rdfs:label "Hamiltonian function"@en ; "Q360356"@en ; ; ; ; ; "function of generalized positions and momenta in Hamiltonian mechanics, specifying the total energy of a system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673871 rdf:type owl:NamedIndividual , ; "m"@en , "p"@en , "v"@en ; "p≡mv"@en ; rdfs:label "particle momentum"@en ; ; ; ; "momentum of a particle in classical mechanics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673872 rdf:type owl:NamedIndividual , ; rdfs:label "coefficient of friction"@en ; "Q1932524"@en ; "Coefficient of friction, aka damping constant. Units of inverse time."@en ; ; ; ; "measure that quantifies the amount of friction existing between two surfaces"@en . ### https://portal.mardi4nfdi.de/entity/Q6673873 rdf:type owl:NamedIndividual , ; rdfs:label "particle velocity"@en ; ; ; , , , ; "velocity of a particle in classical mechanics"@en . ### https://portal.mardi4nfdi.de/entity/Q6673874 rdf:type owl:NamedIndividual , ; rdfs:label "coefficient scaling infectious to exposed"@en ; ; ; "coefficient scales the number of infectious to estimate the number of exposed individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673875 rdf:type owl:NamedIndividual , ; "Kic"@en , "k3"@en , "k−3"@en ; "Kic≡k−3k3"@en ; rdfs:label "competitive inhibition constant (uni uni reaction reversible inhibition)"@en ; ; ; "constant for the competitive inhibition in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673876 rdf:type owl:NamedIndividual , ; rdfs:label "complexed enzyme concentration"@en ; ; ; ; "amount of enzyme that is bound to its substrate, product, or intermediates in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673877 rdf:type owl:NamedIndividual , ; rdfs:label "contact rate between two groups"@en ; ; ; "average number of contacts per unit time of an infective in a group with individuals in another group"@en . ### https://portal.mardi4nfdi.de/entity/Q6673878 rdf:type owl:NamedIndividual , ; rdfs:label "relative removal rate"@en ; ; ; "probability that one infective will be removed from the infection process during a unit time interval"@en . ### https://portal.mardi4nfdi.de/entity/Q6673879 rdf:type owl:NamedIndividual , ; rdfs:label "number of infected cities"@en ; ; ; "number of infected cities in region"@en . ### https://portal.mardi4nfdi.de/entity/Q6673880 rdf:type owl:NamedIndividual , ; rdfs:label "number of susceptible cities"@en ; ; ; "number of susceptible cities in region"@en . ### https://portal.mardi4nfdi.de/entity/Q6673881 rdf:type owl:NamedIndividual , ; rdfs:label "number of infectious individuals"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6673882 rdf:type owl:NamedIndividual , ; rdfs:label "number of susceptible individuals"@en ; "The number of susceptible individuals. When a susceptible and an infectious individual come into infectious contact, the susceptible individual contracts the disease and transitions to the infectious compartment."@en ; ; ; "number"@en . ### https://portal.mardi4nfdi.de/entity/Q6673883 rdf:type owl:NamedIndividual , ; "G"@en , "P"@en , "W"@en , "m"@en , "n"@en ; "Gm,n≡{Wm,nPm+Wn,mPnform≠nWm,mPmform=n"@en ; rdfs:label "contact network"@en ; ; ; "contact network for regions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "W"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673884 rdf:type owl:NamedIndividual , ; rdfs:label "region"@en ; ; "Q82794"@en ; ; ; "area of land that shares common features, which can be either natural or artificial"@en . ### https://portal.mardi4nfdi.de/entity/Q6673885 rdf:type owl:NamedIndividual , ; rdfs:label "region connectivity"@en ; ; ; "connectivity between regions"@en . ### https://portal.mardi4nfdi.de/entity/Q6673886 rdf:type owl:NamedIndividual , ; rdfs:label "particle fluence rate"@en ; "Q98497410"@en ; ; ; , , , ; ; "time derivative of particle fluence"@en . ### https://portal.mardi4nfdi.de/entity/Q6673887 rdf:type owl:NamedIndividual , ; rdfs:label "particle number density"@en ; "Q98601569"@en ; ; ; , , ; "number of particles per volume"@en . ### https://portal.mardi4nfdi.de/entity/Q6673888 rdf:type owl:NamedIndividual , ; rdfs:label "electric current density of electrons"@en ; ; ; ; "density of electric current of electrons, e.g., in a semiconductor device"@en . ### https://portal.mardi4nfdi.de/entity/Q6673889 rdf:type owl:NamedIndividual , ; rdfs:label "recombination rate for electron hole pairs"@en ; "For use in semiconductor physics; strictly speaking, the combined effect of recombination and generation of electron-hole pairs."@en ; ; ; "combined rate for recombination and generation of electron-hole pairs"@en . ### https://portal.mardi4nfdi.de/entity/Q6673890 rdf:type owl:NamedIndividual , ; "x"@en , "ω"@en ; "ωk≡[xk−1,k−xk,k+1]"@en ; rdfs:label "control volume"@en ; ; "Q5165895"@en ; "Control volume used within finite volume discretizations, e.g. the Scharfetter-Gummel discretization of the van-Roosbroeck system."@en ; ; ; "mathematical abstraction employed in continuum mechanics and thermodynamics used within finite volume discretizations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673891 rdf:type owl:NamedIndividual , ; rdfs:label "electric current density of holes"@en ; ; ; ; "density of electric current of holes, e.g., in a semiconductor device"@en . ### https://portal.mardi4nfdi.de/entity/Q6673892 rdf:type owl:NamedIndividual , ; rdfs:label "fluid velocity (porous medium)"@en ; ; ; "vector field used to describe the motion of a fluid in a mathematical manner in porous medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6673893 rdf:type owl:NamedIndividual , ; rdfs:label "fluid pressure (free flow)"@en ; ; ; "force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in free flow"@en . ### https://portal.mardi4nfdi.de/entity/Q6673894 rdf:type owl:NamedIndividual , ; rdfs:label "fluid pressure (porous medium)"@en ; ; ; "force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in porous medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6673895 rdf:type owl:NamedIndividual , ; rdfs:label "number of removed individuals"@en ; ; ; "number of removed/recovered individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673896 rdf:type owl:NamedIndividual , ; rdfs:label "control system duration"@en ; ; ; "time after which a (optimal) control should have reached the target"@en . ### https://portal.mardi4nfdi.de/entity/Q6673897 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of control system"@en ; ; ; "initial value for the state vector of a control system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673898 rdf:type owl:NamedIndividual , ; rdfs:label "control system state"@en ; ; ; "state vector of a dynamical system for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673899 rdf:type owl:NamedIndividual , ; "T"@en , "x"@en , "x~"@en ; "x~≡T−1x"@en ; rdfs:label "control system state (reduced)"@en ; ; ; "state vector of a dynamical system for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673900 rdf:type owl:NamedIndividual , ; rdfs:label "control system Lagrange multiplier"@en ; ; ; ; "method to solve constrained optimization problems for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673901 rdf:type owl:NamedIndividual , ; rdfs:label "control system matrix D"@en ; ; ; "quadratic part of output equation for control systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6673902 rdf:type owl:NamedIndividual , ; "D"@en , "T"@en , "D~"@en ; "D~≡T−1DT"@en ; rdfs:label "control system matrix D (reduced)"@en ; ; ; "quadratic part of output equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673903 rdf:type owl:NamedIndividual , ; rdfs:label "control system output"@en ; ; ; "output from a control system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673904 rdf:type owl:NamedIndividual , ; rdfs:label "spatial variable"@en ; ; ; "variable that describes a spatial dimension"@en . ### https://portal.mardi4nfdi.de/entity/Q6673905 rdf:type owl:NamedIndividual , ; rdfs:label "costs of line concept"@en ; ; ; "summarized costs of a line concept"@en . ### https://portal.mardi4nfdi.de/entity/Q6673906 rdf:type owl:NamedIndividual , ; rdfs:label "costs per unit"@en ; "Costs per unit of something, e.g. costs per 1km, costs per vehicle, costs per line, costs per edge,..."@en ; ; ; "costs per unit of something"@en . ### https://portal.mardi4nfdi.de/entity/Q6673907 rdf:type owl:NamedIndividual , ; rdfs:label "coupling current"@en ; ; ; , ; "transfer current from one circuit to another"@en . ### https://portal.mardi4nfdi.de/entity/Q6673909 rdf:type owl:NamedIndividual , ; rdfs:label "cross section"@en ; ; "Q845080"@en ; "In geometry and in natural sciences, a cross section is the intersection of a body in 3D space with a plane."@en ; ; ; "CrossSection"@en ; ; "the intersection of a body in 3D space with a plane"@en . ### https://portal.mardi4nfdi.de/entity/Q6673911 rdf:type owl:NamedIndividual , ; rdfs:label "current procedural terminology"@en ; ; "Q964984"@en ; ; ; "procedure codes"@en . ### https://portal.mardi4nfdi.de/entity/Q6673912 rdf:type owl:NamedIndividual , ; rdfs:label "damping coefficient"@en ; ; "Q321828"@en ; "Damping describes the loss of energy of an oscillating system by dissipation."@en ; ; ; ; ; "quantifies energy dissipation in dynamic systems, inverse of the time constant of an exponentially decaying quantity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673913 rdf:type owl:NamedIndividual , ; rdfs:label "fluid dynamic viscosity (porous medium)"@en ; ; ; ; "physical property of a moving fluid in a porous medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6673914 rdf:type owl:NamedIndividual , ; rdfs:label "death count"@en ; ; ; "death count, at a given age"@en . ### https://portal.mardi4nfdi.de/entity/Q6673915 rdf:type owl:NamedIndividual , ; rdfs:label "density fraction coefficient"@en ; ; ; "coefficients used in the definition of the density fractions"@en . ### https://portal.mardi4nfdi.de/entity/Q6673916 rdf:type owl:NamedIndividual , ; rdfs:label "density of air"@en ; ; "Q1511415"@en ; ; ; "mass per unit volume of the atmosphere of the planet Earth"@en . ### https://portal.mardi4nfdi.de/entity/Q6673917 rdf:type owl:NamedIndividual , ; rdfs:label "diffusion coefficient for SEIR model"@en ; "Describes the spatial mixing of the subpopulations and may, in general, depend on the spatial position."@en ; ; ; "spatial mixing of the subpopulations"@en . ### https://portal.mardi4nfdi.de/entity/Q6673918 rdf:type owl:NamedIndividual , ; rdfs:label "diffusion flux"@en ; ; ; "solute mass removal rate resulting from diffusion"@en . ### https://portal.mardi4nfdi.de/entity/Q6673919 rdf:type owl:NamedIndividual , ; rdfs:label "Dirac delta distribution"@en ; "Value is zero everywhere except at zero, and whose integral over the entire real line is equal to one."@en ; ; ; ; "generalized function on the real numbers"@en . ### https://portal.mardi4nfdi.de/entity/Q6673920 rdf:type owl:NamedIndividual , ; rdfs:label "displacement"@en ; ; "Q190291"@en ; "Vector that is the shortest distance from the initial to the final position of a point. In elasticity, displacements typically denote the motion of particles/matter from their equilibrium geometry."@en ; ; ; "Displacement"@en ; , , ; "vector that is the shortest distance from the initial (equilibrium) to the final (current) position of a point"@en . ### https://portal.mardi4nfdi.de/entity/Q6673921 rdf:type owl:NamedIndividual , ; rdfs:label "displacement of atoms"@en ; ; ; "displacement of atoms from their equilibrium positions in a non-rigid molecule or solid"@en . ### https://portal.mardi4nfdi.de/entity/Q6673922 rdf:type owl:NamedIndividual , ; rdfs:label "dissociation constant"@en ; ; "Q898254"@en ; ; ; ; "measures the propensity of a larger object to separate (dissociate) reversibly into smaller components"@en . ### https://portal.mardi4nfdi.de/entity/Q6673923 rdf:type owl:NamedIndividual , ; rdfs:label "inhibitor concentration"@en ; ; ; "amount of inhibitor present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673924 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate"@en ; ; ; "instantaneous rate at the start of the reaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6673925 rdf:type owl:NamedIndividual , ; "Vmax,f"@en , "cE0"@en , "k2"@en ; "Vmax,f≡k2cE0"@en ; rdfs:label "limiting reaction rate (uni uni reaction - forward)"@en ; "Maximal initial reaction rate of Uni Uni Reaction in the forward direction."@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673926 rdf:type owl:NamedIndividual , ; "KS"@en , "k1"@en , "k2"@en , "k−1"@en ; "KS≡k−1+k2k1"@en ; rdfs:label "Michaelis constant substrate (uni uni reaction - steady state assumption)"@en ; ; ; ; "Michaelis constant for the substrate of an uni uni reaction under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673927 rdf:type owl:NamedIndividual , ; rdfs:label "substrate concentration"@en ; ; ; , , , ; "amount of substrate present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673929 rdf:type owl:NamedIndividual , ; rdfs:label "doping profile"@en ; ; ; ; "intentional introduction of impurities into an intrinsic (undoped) semiconductor for the purpose of modulating its electrical, optical and structural properties"@en . ### https://portal.mardi4nfdi.de/entity/Q6673930 rdf:type owl:NamedIndividual , ; rdfs:label "drag coefficient"@en ; ; "Q1778961"@en ; ; ; "dimensionless parameter to quantify fluid resistance"@en . ### https://portal.mardi4nfdi.de/entity/Q6673931 rdf:type owl:NamedIndividual , ; rdfs:label "duration"@en ; "Q2199864"@en ; ; ; "Time"@en ; ; "physical quantity for describing the temporal distance between events"@en . ### https://portal.mardi4nfdi.de/entity/Q6673932 rdf:type owl:NamedIndividual , ; rdfs:label "duration per unit"@en ; "Duration of an event per specific unit , e.g. duration per 1km, duration per length, duration of line,..."@en ; ; ; "duration of an event per specific unit"@en . ### https://portal.mardi4nfdi.de/entity/Q6673933 rdf:type owl:NamedIndividual , ; "KS"@en , "k1"@en , "k2"@en ; "KS≡k2k1"@en ; rdfs:label "Michaelis constant substrate (uni uni reaction - irreversibility assumption)"@en ; ; ; ; "Michaelis constant for the substrate of an uni uni reaction under the irreversibility assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673934 rdf:type owl:NamedIndividual , ; "KS"@en , "k1"@en , "k−1"@en ; "KS≡k−1k1"@en ; rdfs:label "Michaelis constant substrate (uni uni reaction - rapid equilibrium assumption)"@en ; ; ; ; "Michaelis constant for the substrate of an uni uni reaction under the rapid equilibrium assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673935 rdf:type owl:NamedIndividual , ; rdfs:label "earth mass"@en ; ; "Q681996"@en ; ; ; "mass of the planet Earth"@en . ### https://portal.mardi4nfdi.de/entity/Q6673936 rdf:type owl:NamedIndividual , ; rdfs:label "earth radius"@en ; ; "Q1155470"@en ; "Mean distance from the Earth's center to its surface: A globally-average value is usually considered to be 6,371 kilometres with a 0.3% variability (±10 km)."@en ; ; ; "6371"@en ; "mean distance from the Earth's center to its surface"@en . ### https://portal.mardi4nfdi.de/entity/Q6673937 rdf:type owl:NamedIndividual , ; rdfs:label "edge set"@en ; "Q124247109"@en ; ; ; "set of all edges in a graph"@en . ### https://portal.mardi4nfdi.de/entity/Q6673938 rdf:type owl:NamedIndividual , ; rdfs:label "effective conductivity"@en ; "Effective conductivity refers to the combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material and measures how effectively the medium can transfer heat."@en ; ; ; "combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material"@en . ### https://portal.mardi4nfdi.de/entity/Q6673939 rdf:type owl:NamedIndividual , ; rdfs:label "effective mass"@en ; ; "Q1064434"@en ; "𝖬"@en ; "The mass that a particle appears to have when responding to forces, or the mass that it seems to have when interacting with other identical particles."@en ; ; ; "EffectiveMass"@en ; , ; "mass that a particle appears to have when responding to forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6673940 rdf:type owl:NamedIndividual , ; rdfs:label "effective mass (solid-state physics)"@en ; ; "In solid state physics, effective electron masses are deduced from band structure calculations (curvature of bands). In certain cases, these masses can have negative values. Their absolute values are typically found between 0.01 and 10 times the mass of a free electron."@en ; ; ; ; "effective electron masses are deduced from band structure calculations (curvature of bands)"@en . ### https://portal.mardi4nfdi.de/entity/Q6673941 rdf:type owl:NamedIndividual , ; rdfs:label "effective mass (spring-mass system)"@en ; ; ; ; "mass that needs to be added to a particle mass to correctly predict the behavior of the system"@en . ### https://portal.mardi4nfdi.de/entity/Q6673942 rdf:type owl:NamedIndividual , ; rdfs:label "eigenstress of crystal"@en ; ; ; "eigenstress of a crystal (stress-free condition) used in theory of elasticity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673943 rdf:type owl:NamedIndividual , ; rdfs:label "stress of crystal"@en ; ; ; ; "stress of a crystal used in theory of elasticity"@en . ### https://portal.mardi4nfdi.de/entity/Q6673944 rdf:type owl:NamedIndividual , ; "C"@en , "ε"@en , "σ"@en ; "σij=∑k=13∑l=13Cijklεkl"@en ; rdfs:label "elasticity tensor"@en ; ; "Q18708823"@en ; "Used in Hooke's Law for the elastic deformation of a solid."@en ; ; ; "fourth-order tensor that describes the relationship between stress and strain in a material"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673945 rdf:type owl:NamedIndividual , ; "n"@en , "q"@en , "ρc"@en ; "ρc≡∑pqpnp"@en ; rdfs:label "electric charge density"@en ; ; "Q69425629"@en ; "summation extends over all particles, i.e., electrons, ions and neutral species"@en ; ; ; "VolumeDensityOfCharge"@en ; , ; ; "electric charge per volume"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673946 rdf:type owl:NamedIndividual , ; rdfs:label "flux of electrons"@en ; "For use in semiconductor physics."@en ; ; ; , ; "flow of electrons, e.g., in an electric device"@en . ### https://portal.mardi4nfdi.de/entity/Q6673947 rdf:type owl:NamedIndividual , ; rdfs:label "flux of holes"@en ; "For use in semiconductor physics."@en ; ; ; , ; "flow of holes, e.g., in an electric device"@en . ### https://portal.mardi4nfdi.de/entity/Q6673948 rdf:type owl:NamedIndividual , ; rdfs:label "mobility of electrons"@en ; "For use in semiconductor physics."@en ; ; ; ; "magnitude of the drift velocity of electrons per unit electric field"@en . ### https://portal.mardi4nfdi.de/entity/Q6673949 rdf:type owl:NamedIndividual , ; rdfs:label "mobility of holes"@en ; "For use in semiconductor physics."@en ; ; ; "measure of how easily holes can move through the material under the influence of an electric field"@en . ### https://portal.mardi4nfdi.de/entity/Q6673950 rdf:type owl:NamedIndividual , ; rdfs:label "electric potential Fourier coefficients"@en ; ; ; ; "coefficients in a Fourier expansion of the electric potential"@en . ### https://portal.mardi4nfdi.de/entity/Q6673951 rdf:type owl:NamedIndividual , ; rdfs:label "electron mass"@en ; ; "Q3814108"@en ; "In particle physics, the mass of a stationary electron is one of the fundamental constants of physics."@en ; ; ; "ElectronMass"@en ; "mass of a stationary electron"@en . ### https://portal.mardi4nfdi.de/entity/Q6673952 rdf:type owl:NamedIndividual , ; "𝐲"@en , "λf"@en , "λ˙f"@en ; "γ≡H(𝐲,λf,λ˙f)"@en ; rdfs:label "lumped activation parameter"@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐲"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λf"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λ˙f"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673953 rdf:type owl:NamedIndividual , ; rdfs:label "material density"@en ; ; ; "measure of how much mass is contained within a given volume of a material"@en . ### https://portal.mardi4nfdi.de/entity/Q6673954 rdf:type owl:NamedIndividual , ; rdfs:label "material point acceleration"@en ; ; ; "acceleration experienced by material points in the Material Point Method"@en . ### https://portal.mardi4nfdi.de/entity/Q6673955 rdf:type owl:NamedIndividual , ; rdfs:label "empirical distribution of individuals"@en ; "Empirical distribution of individuals that follow a specific medium and influencer at a given time by the sum of Dirac Delta distributions placed at the individuals’ opinions."@en ; ; ; "empirical distribution of individuals that follow a specific medium and influencer"@en . ### https://portal.mardi4nfdi.de/entity/Q6673956 rdf:type owl:NamedIndividual , ; rdfs:label "total number of individuals"@en ; ; ; ; "overall count of people residing within a specific area"@en . ### https://portal.mardi4nfdi.de/entity/Q6673957 rdf:type owl:NamedIndividual , ; rdfs:label "reaction rate"@en ; ; "Q3394849"@en ; ; ; , , , , , , , , , , , , , , , , , , , , ; ; "speed at which a chemical reaction proceeds"@en . ### https://portal.mardi4nfdi.de/entity/Q6673958 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme-substrate complex concentration"@en ; ; ; "amount of enzyme-substrate complex present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6673959 rdf:type owl:NamedIndividual , ; rdfs:label "equilibrium constant"@en ; ; "Q857809"@en ; ; ; ; "equilibrium constant of a chemical reaction is the value of its reaction quotient at chemical equilibrium, a state approached after sufficient time"@en . ### https://portal.mardi4nfdi.de/entity/Q6673960 rdf:type owl:NamedIndividual , ; "Keq"@en , "k1"@en , "k2"@en , "k3"@en , "k4"@en , "k5"@en , "k−1"@en , "k−2"@en , "k−3"@en , "k−4"@en , "k−5"@en ; "Keq≡k1k2k3k4k5k−1k−2k−3k−4k−5"@en ; rdfs:label "equilibrium constant (bi bi reaction ordered - steady state assumption)"@en ; ; ; "equilibrium constant of bi bi rection following ordered mechnism with steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673962 rdf:type owl:NamedIndividual , ; rdfs:label "unknown function"@en ; ; ; "mathematical function to be found, typically as a solution of an (ordinary or partial) differential equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6673964 rdf:type owl:NamedIndividual , ; rdfs:label "excitation error"@en ; ; ; ; "in dynamical electron scattering, the excitation error shows how well the Laue condition is satisfied"@en . ### https://portal.mardi4nfdi.de/entity/Q6673965 rdf:type owl:NamedIndividual , ; "ρ"@en , "⟨O^⟩"@en , "O^"@en ; "⟨O^⟩≡tr(O^ρ^)"@en ; rdfs:label "expectation value (quantum density)"@en ; ; ; ; , ; "expected (mean) value of a quantum-mechanical observable, calculated from a density"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "⟨O^⟩"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "O^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673966 rdf:type owl:NamedIndividual , ; rdfs:label "quantum mechanical operator"@en ; ; ; , , , , , , ; "mathematical construct that corresponds to a physical observable, such as position, momentum, or energy"@en . ### https://portal.mardi4nfdi.de/entity/Q6673967 rdf:type owl:NamedIndividual , ; "ψ"@en , "⟨O^⟩"@en , "O^"@en ; "⟨O^⟩≡⟨ψ|O^|ψ⟩"@en ; rdfs:label "expectation value (quantum state)"@en ; ; ; ; "expected (mean) value of a quantum-mechanical observable, calculated from a state vector"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "⟨O^⟩"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "O^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673968 rdf:type owl:NamedIndividual , ; rdfs:label "quantum state"@en ; ; "Q230883"@en ; "Abstract (Dirac) notation as a quantum state or wave function in coordinate representation."@en ; ; ; , , , ; "state of an isolated quantum system, represented as an element of a projective Hilbert space"@en . ### https://portal.mardi4nfdi.de/entity/Q6673969 rdf:type owl:NamedIndividual , ; rdfs:label "exposure of an individual"@en ; ; ; "exposure (time) of an individual at a certain age"@en . ### https://portal.mardi4nfdi.de/entity/Q6673970 rdf:type owl:NamedIndividual , ; rdfs:label "Gröbner basis"@en ; ; "Q1551631"@en ; ; ; ; "particular generating subset of an ideal in a polynomial ring"@en . ### https://portal.mardi4nfdi.de/entity/Q6673971 rdf:type owl:NamedIndividual , ; rdfs:label "extrinsic mortality"@en ; ; "Q60776128"@en ; ; ; "sum of the effects of external factors that contribute to death"@en . ### https://portal.mardi4nfdi.de/entity/Q6673972 rdf:type owl:NamedIndividual , ; rdfs:label "fiber contraction velocity"@en ; ; ; "speed at which muscle fibers change length during a contraction"@en . ### https://portal.mardi4nfdi.de/entity/Q6673973 rdf:type owl:NamedIndividual , ; rdfs:label "fiber stretch"@en ; ; ; "stretch of a fibre, e.g. in a muscle"@en . ### https://portal.mardi4nfdi.de/entity/Q6673974 rdf:type owl:NamedIndividual , ; "l"@en , "Δl"@en , "ε"@en ; "ε≡Δll"@en ; rdfs:label "linear strain"@en ; "Q1990546"@en ; ; ; "LinearStrain"@en ; ; ; ; "relative change of length with respect the original length"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673975 rdf:type owl:NamedIndividual , ; rdfs:label "fixed costs"@en ; ; ; ; "fixed costs for something, independend of e.g. time, length,..."@en . ### https://portal.mardi4nfdi.de/entity/Q6673976 rdf:type owl:NamedIndividual , ; rdfs:label "fluid mass density"@en ; "Q101961654"@en ; ; ; "measure of the mass per unit volume of a fluid"@en . ### https://portal.mardi4nfdi.de/entity/Q6673977 rdf:type owl:NamedIndividual , ; "μ"@en , "ν"@en , "ρ"@en ; "ν≡μρ"@en ; rdfs:label "kinematic viscosity"@en ; "Q15106259"@en ; ; ; ; "characteristic of a fluid in free flow"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673979 rdf:type owl:NamedIndividual , ; rdfs:label "spring constant"@en ; "Q338261"@en ; ; ; "constant of proportionality in Hooke’s law"@en . ### https://portal.mardi4nfdi.de/entity/Q6673980 rdf:type owl:NamedIndividual , ; rdfs:label "force density"@en ; ; "Q4117184"@en ; "It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en ; ; ; , ; ; "in fluid mechanics, negative gradient of pressure"@en . ### https://portal.mardi4nfdi.de/entity/Q6673981 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of exposed"@en ; ; ; "fraction of population density of exposed Individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673982 rdf:type owl:NamedIndividual , ; rdfs:label "isotropic Gaussian function"@en ; "Isotropic Gaussian Function located at the center of the respective province used in the PDE SEIR Model for representing density and density fractions."@en ; ; ; ; "Gaussian function representing density and density fractions of provinces"@en . ### https://portal.mardi4nfdi.de/entity/Q6673983 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of infectious"@en ; ; ; "fraction of population density of Infectious Individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673984 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of removed"@en ; ; ; "fraction of population density of removed Individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673985 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of susceptibles"@en ; ; ; "fraction of population density of susceptible Individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6673986 rdf:type owl:NamedIndividual , ; rdfs:label "free fall impact time"@en ; ; ; , ; "time that it takes for an object to freely fall from a certain height to the ground"@en . ### https://portal.mardi4nfdi.de/entity/Q6673987 rdf:type owl:NamedIndividual , ; rdfs:label "free fall initial height"@en ; ; ; ; ; "initial height of an object as it starts falling through a fluid or a gas"@en . ### https://portal.mardi4nfdi.de/entity/Q6673988 rdf:type owl:NamedIndividual , ; rdfs:label "free fall initial velocity"@en ; ; ; ; ; "initial velocity of an object as it starts falling through a fluid or a gas"@en . ### https://portal.mardi4nfdi.de/entity/Q6673989 rdf:type owl:NamedIndividual , ; "G"@en , "M"@en , "g"@en , "r"@en ; "g→≡−GMr2r→"@en ; rdfs:label "gravitational acceleration"@en ; "Q30006"@en ; "At a fixed point on the surface of Earth, the gravity results from the combined effect of gravitation and the centrifugal force from Earth's rotation. At different points on Earth's surface, the free fall acceleration ranges from 9.764 to 9.834 m/s2."@en ; ; ; "AccelerationOfGravity"@en ; ; "acceleration of an object in free fall near the surface of planet Earth"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673990 rdf:type owl:NamedIndividual , ; rdfs:label "free fall impact velocity"@en ; ; ; "velocity with which a freely falling object hits the ground"@en . ### https://portal.mardi4nfdi.de/entity/Q6673991 rdf:type owl:NamedIndividual , ; rdfs:label "free fall height"@en ; ; ; ; , , ; ; "height of an object as it falls freely"@en . ### https://portal.mardi4nfdi.de/entity/Q6673992 rdf:type owl:NamedIndividual , ; rdfs:label "free fall mass"@en ; ; ; "mass of a (freely) falling object"@en . ### https://portal.mardi4nfdi.de/entity/Q6673993 rdf:type owl:NamedIndividual , ; "A"@en , "g"@en , "m"@en , "ρ"@en , "CD"@en , "v∞"@en ; "v∞≡2mgρCDA"@en ; rdfs:label "free fall terminal velocity"@en ; ; ; , ; "highest velocity attainable by an object as it falls through a fluid or a gas"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "CD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v∞"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673994 rdf:type owl:NamedIndividual , ; rdfs:label "free fall velocity"@en ; ; ; , ; , , ; ; "velocity attained by an object as it falls freely"@en . ### https://portal.mardi4nfdi.de/entity/Q6673995 rdf:type owl:NamedIndividual , ; "G"@en , "M"@en , "m"@en , "t"@en , "y"@en , "y0"@en ; "t(y)≡y032G(m+M)(yy0(1−yy0)+arccos⁡yy0)"@en ; rdfs:label "free fall time"@en ; ; "Q5499609"@en ; ; ; ; "characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6673996 rdf:type owl:NamedIndividual , ; rdfs:label "quantile function of the beta distribution"@en ; ; ; , ; "inverse function of the regularized incomplete beta function"@en . ### https://portal.mardi4nfdi.de/entity/Q6673997 rdf:type owl:NamedIndividual , ; rdfs:label "gravitational constant"@en ; ; "Q18373"@en ; ; ; "GravitationalConstant"@en ; "gravitational constant"@en ; "physical constant relating the gravitational force between objects to their mass and distance"@en . ### https://portal.mardi4nfdi.de/entity/Q6673998 rdf:type owl:NamedIndividual , ; rdfs:label "heterogeneity of death rate"@en ; ; ; "shows the different level of susceptibility to dying"@en . ### https://portal.mardi4nfdi.de/entity/Q6673999 rdf:type owl:NamedIndividual , ; rdfs:label "level of mortality"@en ; ; ; "rate at which individuals in a population die over a specified period"@en . ### https://portal.mardi4nfdi.de/entity/Q6674000 rdf:type owl:NamedIndividual , ; rdfs:label "rate of aging"@en ; ; ; "speed at which an individual or population ages"@en . ### https://portal.mardi4nfdi.de/entity/Q6674001 rdf:type owl:NamedIndividual , ; rdfs:label "risk of death"@en ; ; ; "IncidenceRate"@en ; "risk (or hazard) of death, at a certain age"@en . ### https://portal.mardi4nfdi.de/entity/Q6674002 rdf:type owl:NamedIndividual , ; "e"@en , "μ"@en , "π"@en , "σ"@en , "φ"@en ; "φ(z)≡1σ2πe−(z−μ)2/(2σ2)"@en ; rdfs:label "normal distribution"@en ; ; "Q133871"@en ; ; ; ; ; "continuous probability distribution that is symmetric and bell-shaped"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "π"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "φ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674004 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "N"@en , "t"@en , "Wc"@en ; "Wc≡∑j=1∞∫0∞…∫0∞Pj(t1,…tj)Pj*(t1,…tj)dt1…dtjP1(t1)≡eAt1iBPj(t1,…,tj)≡eAtjiNPj−1"@en ; rdfs:label "controllability Gramian (generalized)"@en ; ; ; ; ; "generalized Gramian of controllability, for use in bi-linear control problems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674005 rdf:type owl:NamedIndividual , ; "A"@en , "C"@en , "N"@en , "t"@en , "Wo"@en ; "Wc≡∑j=1∞∫0∞…∫0∞Qj*(t1,…tj)Qj(t1,…tj)dt1…dtjQ1(t1)≡CeA*t1Qj(t1,…,tj)X≡Qj−1iNeA*tj"@en ; rdfs:label "observability Gramian (generalized)"@en ; ; ; ; ; "generalized Gramian of observability, for use in bi-linear control problems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674006 rdf:type owl:NamedIndividual , ; rdfs:label "Gramian matrix"@en ; ; "Q1409400"@en ; ; ; , , , ; ; "matrix of inner products of a set of vectors"@en . ### https://portal.mardi4nfdi.de/entity/Q6674008 rdf:type owl:NamedIndividual , ; rdfs:label "thermal conductivity"@en ; "Q487005"@en ; ; ; "ThermalConductivity"@en ; ; "capacity of a material to conduct heat"@en . ### https://portal.mardi4nfdi.de/entity/Q6674009 rdf:type owl:NamedIndividual , ; rdfs:label "heat flux density"@en ; ; "Q1478382"@en ; ; ; "heat transferred per area and time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674010 rdf:type owl:NamedIndividual , ; "t"@en , "FPME"@en , "𝓁M"@en , "F0M"@en , "ϵ0M"@en , "𝓁Mslack"@en ; "FPME(𝓁M)≡F0Mexp⁡(kPEϵ0M(𝓁M(𝓉)𝓁Mslack−1))−1exp⁡(kPE)−1"@en ; rdfs:label "passive muscle force"@en ; ; ; "force developed in noncontracting or inactive muscles by the elastic elements within the muscle"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FPME"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝓁M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F0M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ0M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝓁Mslack"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674012 rdf:type owl:NamedIndividual , ; rdfs:label "ideal"@en ; ; "Q44649"@en ; ; ; "additive subgroup of a ring closed under multiplication by an arbitrary ring element"@en . ### https://portal.mardi4nfdi.de/entity/Q6674013 rdf:type owl:NamedIndividual , ; rdfs:label "identity function"@en ; "i109356"@en ; ; "IdentityFunction"@en , "IdentityMap"@en , "IdentityOperator"@en ; "identity function"@en ; "Q321119"@en ; "engineering/identity-map"@en , "mathematics/identity-map"@en ; ; ; "fr:Fonction_identité"@en ; "/m/03wwf"@en ; , , , ; , , , , ; "33222762"@en ; "C33222762"@en ; "133678"@en ; "\\operatorname{id}"@en ; "function that always returns the same value that was used as its argument"@en . ### https://portal.mardi4nfdi.de/entity/Q6674015 rdf:type owl:NamedIndividual , ; rdfs:label "individual relationship matrix"@en ; ; ; "relations among individuals such as friendship or connections on social media are defined through a binary adjacency matrix"@en . ### https://portal.mardi4nfdi.de/entity/Q6674016 rdf:type owl:NamedIndividual , ; rdfs:label "infected recovery rate"@en ; ; ; "constant representing the infected recovery rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6674017 rdf:type owl:NamedIndividual , ; rdfs:label "infectious"@en ; ; ; , ; "general quantity for the number of infectious entities"@en . ### https://portal.mardi4nfdi.de/entity/Q6674018 rdf:type owl:NamedIndividual , ; "xl"@en ; "xl≡{1l <mrow data-mjx-texclass=\"ORD\">is<mtext> </mtext>chosen</mrow>ootherwise"@en ; rdfs:label "binary decision variable"@en ; "In case of line pool generation, it decides if a line is included or not."@en ; ; ; , ; "binary variable deciding if an object is chosen or not"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xl"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674019 rdf:type owl:NamedIndividual , ; "L"@en , "u"@en , "μ"@en , "ν"@en , "ρ"@en ; "Re≡uLν=ρuLμ"@en ; rdfs:label "Reynolds number"@en ; ; "Q178932"@en ; "At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers, flows tend to be turbulent."@en ; ; ; ; "dimensionless quantity that is used to help predict similar flow patterns in different fluid flow situations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674020 rdf:type owl:NamedIndividual , ; "Kiu"@en , "k4"@en , "k−4"@en ; "Kiu≡k−4k4"@en ; rdfs:label "uncompetitive inhibition constant (uni uni reaction reversible inhibition)"@en ; ; ; "constant for the uncompetitive inhibition in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674021 rdf:type owl:NamedIndividual , ; "x"@en ; "x≡{1graph directed2graph undirected"@en ; rdfs:label "graph type identifier"@en ; ; ; "variable identifying a graph as directed (value=1) or undirected (value=2)"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674023 rdf:type owl:NamedIndividual , ; rdfs:label "inhibition constant"@en ; ; ; , , , , ; "chemical constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6674024 rdf:type owl:NamedIndividual , ; "KiP1"@en , "k5"@en , "k−5"@en ; "KiP1≡k5k−5"@en ; rdfs:label "inhibition constant product 1 (bi bi reaction ordered - steady state assumption)"@en ; "Inhibition constant for the product 1 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en ; ; ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674025 rdf:type owl:NamedIndividual , ; "KiP2"@en , "k3"@en , "k4"@en , "k5"@en , "k−3"@en , "k−4"@en ; "KiP2≡k4k5+k3k4+k3k5+k−3k5k−4(k3+k−3)"@en ; rdfs:label "inhibition constant product 2 (bi bi reaction ordered - steady state assumption)"@en ; "Inhibition constant for the product 2 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en ; ; ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674026 rdf:type owl:NamedIndividual , ; "KiS1"@en , "k1"@en , "k−1"@en ; "KiS1≡k−1k1"@en ; rdfs:label "inhibition constant substrate 1 (bi bi reaction ordered - steady state assumption)"@en ; "Inhibition constant for the substrate 1 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en ; ; ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674027 rdf:type owl:NamedIndividual , ; "KiS2"@en , "k2"@en , "k3"@en , "k−1"@en , "k−2"@en , "k−3"@en ; "KiS2≡k−1k−2+k−1k3+k−1k−3+k−2k−3k2(k3+k−3)"@en ; rdfs:label "inhibition constant substrate 2 (bi bi reaction ordered - steady state assumption)"@en ; "Inhibition constant for the substrate 2 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption."@en ; ; ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674028 rdf:type owl:NamedIndividual , ; "t"@en , "x~"@en , "x~0"@en ; "x~(t=0)≡x~0"@en ; rdfs:label "initial control state (reduced)"@en ; ; ; "initial state of a control system; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674029 rdf:type owl:NamedIndividual , ; rdfs:label "product concentration"@en ; ; ; "amount of product present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6674030 rdf:type owl:NamedIndividual , ; rdfs:label "reciprocal lattice"@en ; ; "Q164129"@en ; "In solid state physics, the reciprocal lattice emerges from the Fourier transform of the direct lattice which is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal space or k space, which refers to the wavevector."@en ; ; ; "mathematical construct to describe the diffraction patterns of crystals"@en . ### https://portal.mardi4nfdi.de/entity/Q6674031 rdf:type owl:NamedIndividual , ; rdfs:label "reciprocal lattice vectors"@en ; "In solid state physics, the reciprocal lattice emerges from the Fourier transform of the direct lattice which is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal space or k space, which refers to the wavevector."@en ; ; ; , ; "mathematical constructs used in the study of periodic structures"@en . ### https://portal.mardi4nfdi.de/entity/Q6674032 rdf:type owl:NamedIndividual , ; rdfs:label "total population density"@en ; "Typically expressed as the number of people per square kilometer or square mile."@en ; ; ; ; "number of people living in a given area"@en . ### https://portal.mardi4nfdi.de/entity/Q6674033 rdf:type owl:NamedIndividual , ; rdfs:label "interaction weight"@en ; ; ; "interaction weight between a pair of individuals to account for their influence on each other's opinions"@en . ### https://portal.mardi4nfdi.de/entity/Q6674034 rdf:type owl:NamedIndividual , ; rdfs:label "intermolecular potential"@en ; "Intermolecular potential energy function that describes the interactions between molecules. Typically, intermolecular forces are weak relative to intramolecular forces."@en ; ; ; , , ; "energy function that describes the interactions between molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6674035 rdf:type owl:NamedIndividual , ; rdfs:label "ion current"@en ; ; "Q6063423"@en ; ; ; "IonCurrent"@en ; "flow of electrical charge observed in electrolytes, wires, plasma, and other conducting materials or fluids"@en . ### https://portal.mardi4nfdi.de/entity/Q6674036 rdf:type owl:NamedIndividual , ; rdfs:label "Lagrange multiplier"@en ; ; "Q598870"@en ; ; ; ; "lagrange multiplier"@en ; ; "method to solve constrained optimization problems"@en . ### https://portal.mardi4nfdi.de/entity/Q6674037 rdf:type owl:NamedIndividual , ; rdfs:label "likelihood function"@en ; ; "Q45284"@en ; "Measure used in statistics to quantify how well a given set of model parameters explains observed data."@en ; ; ; "probability density of observed data viewed as a function of the parameters of a statistical model"@en . ### https://portal.mardi4nfdi.de/entity/Q6674038 rdf:type owl:NamedIndividual , ; rdfs:label "rate of switching influencers"@en ; ; ; "rate at which an individual switches the influencer they are following at a given time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674039 rdf:type owl:NamedIndividual , ; "Vmax,b"@en , "cE0"@en , "k3"@en , "k−1"@en , "k−2"@en , "k−3"@en ; "Vmax,b≡k−1k−2k−3k−1k−2+k−1k3+k−1k−3+k−2k−3cE0"@en ; rdfs:label "limiting reaction rate (bi bi reaction ordered mechanism - backward)"@en ; "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism in the backward direction."@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674040 rdf:type owl:NamedIndividual , ; "Vmax,f"@en , "cE0"@en , "k3"@en , "k4"@en , "k5"@en , "k−3"@en ; "Vmax,f≡k3k4k5k4+k5+k3k4+k3k5+k−3k5cE0"@en ; rdfs:label "limiting reaction rate (bi bi reaction ordered mechanism - forward)"@en ; "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism in the forward direction."@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674041 rdf:type owl:NamedIndividual , ; "Vmax,f"@en , "cE0"@en , "k4"@en , "k5"@en ; "Vmax,f≡k4k5k4+k5cE0"@en ; rdfs:label "limiting reaction rate (bi bi reaction ordered mechanism with single central complex - forward)"@en ; "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism and Single Central Complex in the forward direction."@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674042 rdf:type owl:NamedIndividual , ; "Vmax,b"@en , "cE0"@en , "k−2"@en ; "Vmax,b≡k−2cE0"@en ; rdfs:label "limiting reaction rate (uni uni reaction - backward)"@en ; "Maximal initial reaction rate of Uni Uni Reaction in the backward direction."@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674043 rdf:type owl:NamedIndividual , ; "Vmax,I,f"@en , "cE0"@en , "k6"@en ; "Vmax,I,f≡k6cE0"@en ; rdfs:label "limiting reaction rate with inhibitor (uni uni reaction - forward)"@en ; "Forward Limiting Reaction Rate with Inhibitor in an Uni Uni Reaction."@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,I,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k6"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674044 rdf:type owl:NamedIndividual , ; rdfs:label "public transport route"@en ; "Q125209036"@en ; ; ; "single line in a Public Transport Network (PTN)"@en . ### https://portal.mardi4nfdi.de/entity/Q6674045 rdf:type owl:NamedIndividual , ; rdfs:label "period length"@en ; ; ; "length of a period in time units"@en . ### https://portal.mardi4nfdi.de/entity/Q6674046 rdf:type owl:NamedIndividual , ; rdfs:label "turn over time"@en ; "Time between two events, e.g. minimal time between services of lines in public transport."@en ; ; ; "time between two events"@en . ### https://portal.mardi4nfdi.de/entity/Q6674047 rdf:type owl:NamedIndividual , ; rdfs:label "link recommendation function"@en ; "Link recommendation algorithms are often used to suggest new connections to users that have the greatest potential to be established. In modelling Opinion Dynamics, link recommendation can be incorporated via this function by assuming that individuals have a higher chance of switching to an influencer with a structurally similar followership. Strictly increasing on [0,1]."@en ; ; ; "function representing link recommendation"@en . ### https://portal.mardi4nfdi.de/entity/Q6674048 rdf:type owl:NamedIndividual , ; "c"@en , "μ0"@en , "ϵ0"@en ; "c≡1ϵ0μ0"@en ; rdfs:label "speed of light in vacuum"@en ; ; "Q2111"@en ; ; ; "299792458"@en ; "SpeedOfLight_Vacuum"@en ; "speed of electromagnetic waves in vacuum"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674049 rdf:type owl:NamedIndividual , ; "C"@en , "σ"@en , "ω"@en , "ϕ"@en , "ℓ"@en , "NR"@en , "NT"@en , "ti"@en ; "ℓ(σ)≡∑i=1NT∑m=1NR(ωm,ti−ϕ(ti|σ,ω∙,0))2Cm,ti2"@en ; rdfs:label "loss function (Romanization)"@en ; ; ; ; ; "loss function summing over regions and data points"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "NR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "NT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ti"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674050 rdf:type owl:NamedIndividual , ; rdfs:label "number of time points"@en ; ; ; "total number of time points at which observation were made"@en . ### https://portal.mardi4nfdi.de/entity/Q6674051 rdf:type owl:NamedIndividual , ; rdfs:label "Romanized cities vector"@en ; ; ; "observed number of Romanized cities"@en . ### https://portal.mardi4nfdi.de/entity/Q6674052 rdf:type owl:NamedIndividual , ; rdfs:label "point in time"@en ; "Q186408"@en ; ; ; "position of a particular instant in time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674053 rdf:type owl:NamedIndividual , ; "C"@en , "ω"@en ; "Cm,ti≡max⁡{ωm,ti,STD(ωm,∙)}"@en ; rdfs:label "weight factor in Romanization loss function"@en ; ; ; "weight factor that serves as normalization in the Romanization loss function"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674054 rdf:type owl:NamedIndividual , ; rdfs:label "state vector"@en ; ; ; ; , ; "vector comprising all the state variables of a system"@en . ### https://portal.mardi4nfdi.de/entity/Q6674055 rdf:type owl:NamedIndividual , ; rdfs:label "unknown matrix"@en ; ; ; "unknown matrix, to be found"@en . ### https://portal.mardi4nfdi.de/entity/Q6674056 rdf:type owl:NamedIndividual , ; rdfs:label "maximal object descriptiveness rating"@en ; ; ; "maximal rating assigned to an object commonality in terms of object descriptiveness"@en . ### https://portal.mardi4nfdi.de/entity/Q6674057 rdf:type owl:NamedIndividual , ; rdfs:label "molecularity"@en ; ; "Q776329"@en ; ; ; "number of reactant molecular entities that are involved in the 'microscopic chemical event' constituting an elementary reaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6674058 rdf:type owl:NamedIndividual , ; "A"@en , "σ"@en , "Fn"@en ; "σ≡dFndA"@en ; rdfs:label "normal stress"@en ; "Q11425837"@en ; ; ; "NormalStress"@en ; "force component perpendicular to a surface element divided by the area of that surface element"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Fn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674059 rdf:type owl:NamedIndividual , ; rdfs:label "medium influencer fraction"@en ; "Fraction of individuals that follow a specific medium and influencer at a given time."@en ; ; ; ; "fraction of individuals following a specific medium and influencer at a given time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674060 rdf:type owl:NamedIndividual , ; rdfs:label "membrane capacitance"@en ; ; ; "how much charge a cell membrane can store when a voltage is applied across it"@en . ### https://portal.mardi4nfdi.de/entity/Q6674061 rdf:type owl:NamedIndividual , ; rdfs:label "Michaelis constant"@en ; "Q61751178"@en ; ; ; , , , , , , , , , ; ; ; "property to characterize the kinetics of Michaelis–Menten reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6674062 rdf:type owl:NamedIndividual , ; "KP1"@en , "k3"@en , "k−1"@en , "k−2"@en , "k−3"@en , "k−5"@en ; "KP1≡k−1k−2k−3k−5(k−1k−2+k−1k3+k−1k−3+k−2k−3)"@en ; rdfs:label "Michaelis constant product 1 (bi bi reaction ordered - steady state assumption)"@en ; ; ; ; "Michaelis constant for the product 1 of a bi bi reaction with ordered mechanism under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674063 rdf:type owl:NamedIndividual , ; "KP2"@en , "k3"@en , "k4"@en , "k−1"@en , "k−2"@en , "k−3"@en , "k−4"@en ; "KP2≡k−1(k−2k4+k−2k−3+k3k4)k−5(k−1k−2+k−1k3+k−1k−3+k−2k−3)"@en ; rdfs:label "Michaelis constant product 2 (bi bi reaction ordered - steady state assumption)"@en ; ; ; ; "Michaelis constant for the product 2 of a bi bi reaction with ordered mechanism under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674064 rdf:type owl:NamedIndividual , ; "KP"@en , "k2"@en , "k−1"@en , "k−2"@en ; "KP≡k−1+k2k−2"@en ; rdfs:label "Michaelis constant product (uni uni reaction - steady state assumption)"@en ; ; ; ; "Michaelis constant for the product of an uni uni reaction under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674065 rdf:type owl:NamedIndividual , ; "KS1"@en , "k1"@en , "k3"@en , "k4"@en , "k5"@en , "k−3"@en ; "KS1≡k3k4k5k1(k4k5+k3k4+k3k5+k−3k5)"@en ; rdfs:label "Michaelis constant substrate 1 (bi bi reaction ordered - steady state assumption)"@en ; ; ; ; "Michaelis constant for the substrate 1 of a bi bi reaction with ordered mechanism under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674066 rdf:type owl:NamedIndividual , ; "KS2"@en , "k2"@en , "k3"@en , "k4"@en , "k5"@en , "k−2"@en , "k−3"@en ; "KS2≡k5(k−2k4+k−2k−3+k3k4)k2(k4k5+k3k4+k3k5+k−3k5)"@en ; rdfs:label "Michaelis constant substrate 2 (bi bi reaction ordered - steady state assumption)"@en ; ; ; ; "Michaelis constant for the substrate 2 of a bi bi reaction with ordered mechanism under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674067 rdf:type owl:NamedIndividual , ; "KS1"@en , "k1"@en , "k4"@en , "k5"@en ; "KS1≡k4k5k1(k4+k5)"@en ; rdfs:label "Michaelis constant substrate 1 (bi bi reaction ordered with single central complex - steady state assumption)"@en ; ; ; ; "Michaelis constant for the substrate 1 of a bi bi reaction with ordered mechanism and single central complex under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674068 rdf:type owl:NamedIndividual , ; "KS2"@en , "k2"@en , "k4"@en , "k5"@en , "k−2"@en ; "KS2≡k5(k−2+k4)k2(k4+k5)"@en ; rdfs:label "Michaelis constant substrate 2 (bi bi reaction ordered with single central complex - steady state assumption)"@en ; ; ; ; "Michaelis constant for the substrate 2 of a bi bi reaction with ordered mechanism and single central complex under the steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674069 rdf:type owl:NamedIndividual , ; rdfs:label "membrane potential"@en ; ; "Q389844"@en ; ; ; "difference in electric potential between the interior and the exterior of a biological cell"@en . ### https://portal.mardi4nfdi.de/entity/Q6674070 rdf:type owl:NamedIndividual , ; rdfs:label "neural input"@en ; ; ; "neural input in a motor neuron pool model"@en . ### https://portal.mardi4nfdi.de/entity/Q6674071 rdf:type owl:NamedIndividual , ; rdfs:label "sensory organ current"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6674072 rdf:type owl:NamedIndividual , ; rdfs:label "muscle spindle firing rate"@en ; ; ; "frequency at which sensory neurons within the muscle spindle transmit signals to the central nervous system"@en . ### https://portal.mardi4nfdi.de/entity/Q6674073 rdf:type owl:NamedIndividual , ; rdfs:label "neural firing rate"@en ; "Q71762818"@en ; ; ; ; ; "average number of electrical impulses, or spikes, a neuron generates per unit of time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674074 rdf:type owl:NamedIndividual , ; rdfs:label "vertex set"@en ; "Q124247078"@en ; ; ; "set of all vertices in a graph"@en . ### https://portal.mardi4nfdi.de/entity/Q6674075 rdf:type owl:NamedIndividual , ; "c"@en , "m"@en , "p"@en , "v"@en ; "p≡mv1−v2c2"@en ; rdfs:label "relativistic momentum"@en ; ; ; , ; "momentum of a particle in special relativity"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674076 rdf:type owl:NamedIndividual , ; rdfs:label "normal coordinate"@en ; "Q112730947"@en ; "Normal coordinates refer to the positions of atoms away from their equilibrium positions, wrt a normal mode of vibration. Formally, normal modes are determined by solving a secular determinant, and then the normal coordinates can be expressed as a summation over the cartesian coordinates (over the atom positions). The normal modes diagonalize the matrix governing the molecular vibrations."@en ; ; ; ; , ; "pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation"@en . ### https://portal.mardi4nfdi.de/entity/Q6674077 rdf:type owl:NamedIndividual , ; "ℏ"@en , "Q"@en , "c"@en , "q"@en , "ω"@en ; "q≡γQγ≡2πcωℏ"@en ; rdfs:label "normal coordinate (dimensionless)"@en ; ; ; "nondimensionalized positions of atoms away from their equilibrium positions, wrt a normal mode of vibration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674078 rdf:type owl:NamedIndividual , ; rdfs:label "normal mode momentum"@en ; ; ; ; , ; "canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6674079 rdf:type owl:NamedIndividual , ; "ℏ"@en , "P"@en , "c"@en , "p"@en , "ω"@en ; "p≡1γℏPγ≡2πcωℏ"@en ; rdfs:label "normal mode momentum (dimensionless)"@en ; ; ; "dimensionless canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674080 rdf:type owl:NamedIndividual , ; rdfs:label "particle radius"@en ; ; ; "radius of a particle in a potential multi-particle system"@en . ### https://portal.mardi4nfdi.de/entity/Q6674082 rdf:type owl:NamedIndividual , ; "E"@en , "ε"@en , "σ"@en ; "E≡σε"@en ; rdfs:label "Young's modulus"@en ; ; "Q2091584"@en ; ; ; ; "mechanical property that measures stiffness of a solid material"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674083 rdf:type owl:NamedIndividual , ; rdfs:label "number of exposed individuals"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6674084 rdf:type owl:NamedIndividual , ; rdfs:label "number of object properties"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6674085 rdf:type owl:NamedIndividual , ; rdfs:label "number of objects"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6674086 rdf:type owl:NamedIndividual , ; rdfs:label "number of occurrences"@en ; "For example number of events occurring in a fixed interval of time."@en ; ; ; "count of how many times a specific event, value, or element appears within a given context or dataset"@en . ### https://portal.mardi4nfdi.de/entity/Q6674087 rdf:type owl:NamedIndividual , ; rdfs:label "number of spindles"@en ; "Muscle spindles are stretch receptors within the body of a skeletal muscle that primarily detect changes in the length of the muscle."@en ; ; ; "number of spindles in a muscle"@en . ### https://portal.mardi4nfdi.de/entity/Q6674088 rdf:type owl:NamedIndividual , ; rdfs:label "object cluster matrix"@en ; ; ; "matrix giving insight into the coherence of object clusters"@en . ### https://portal.mardi4nfdi.de/entity/Q6674089 rdf:type owl:NamedIndividual , ; rdfs:label "object committor functions"@en ; ; ; "non-negative vectors whose values correspond to the probability to end up in some property when starting the process in some object"@en . ### https://portal.mardi4nfdi.de/entity/Q6674090 rdf:type owl:NamedIndividual , ; rdfs:label "object rating matrix"@en ; ; ; "matrix rating the descriptiveness of the object commonalities"@en . ### https://portal.mardi4nfdi.de/entity/Q6674091 rdf:type owl:NamedIndividual , ; rdfs:label "second eigenvalue of orthogonal matrix"@en ; ; ; "second eigenvalue of an orthogonal matrix"@en . ### https://portal.mardi4nfdi.de/entity/Q6674092 rdf:type owl:NamedIndividual , ; rdfs:label "object commonality matrix"@en ; ; ; "matrix containing object property commonalities of all object pairs"@en . ### https://portal.mardi4nfdi.de/entity/Q6674093 rdf:type owl:NamedIndividual , ; rdfs:label "power set"@en ; ; "Q205170"@en ; ; ; "mathematical set containing all subsets of a given set"@en . ### https://portal.mardi4nfdi.de/entity/Q6674094 rdf:type owl:NamedIndividual , ; rdfs:label "orthogonal matrix"@en ; ; "Q333871"@en ; ; ; "real square matrix whose columns and rows are orthogonal unit vectors"@en . ### https://portal.mardi4nfdi.de/entity/Q6674095 rdf:type owl:NamedIndividual , ; rdfs:label "upper-triangular matrix"@en ; "Q77968835"@en ; ; ; ; "matrix with all elements below the main diagonal equal to zero"@en . ### https://portal.mardi4nfdi.de/entity/Q6674096 rdf:type owl:NamedIndividual , ; "J"@en , "T"@en , "t"@en , "u"@en , "α"@en ; "J[u]≡∑kαk∫0Tdtuk2(t)"@en ; rdfs:label "optimal control cost"@en ; "Minimizes the cost of the control of a system, e.g. minimize the fluence of a laser field."@en ; ; ; "cost functional in optimal control"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "J"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674097 rdf:type owl:NamedIndividual , ; "D"@en , "J"@en , "T"@en , "u"@en , "x"@en ; "J[u,x]≡x†(T)Dx(T)"@en ; rdfs:label "optimal control target"@en ; "Maximize the quadratic output of a given control system."@en ; ; ; "target functional in optimal control"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "J"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674098 rdf:type owl:NamedIndividual , ; rdfs:label "optimal control penalty factor"@en ; "In optimal control theory, a penalty factor can be used to balance between the two objectives: maximizing the target function[al] versus minimizing the cost function[al]."@en ; ; ; "balance between maximizing the target versus minimizing the cost"@en . ### https://portal.mardi4nfdi.de/entity/Q6674099 rdf:type owl:NamedIndividual , ; rdfs:label "passive muscle strain"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6674100 rdf:type owl:NamedIndividual , ; rdfs:label "stress free muscle length"@en ; ; ; "length at which a muscle generates minimal or no passive tension"@en . ### https://portal.mardi4nfdi.de/entity/Q6674101 rdf:type owl:NamedIndividual , ; rdfs:label "tendon length"@en ; ; ; "measurement of the distance from one end of a tendon to the other"@en . ### https://portal.mardi4nfdi.de/entity/Q6674102 rdf:type owl:NamedIndividual , ; "t"@en , "lT"@en , "ϵT"@en , "𝓁Tslack"@en ; "ϵT(t)≡𝓁T(t)−𝓁Tslack𝓁Tslack"@en ; rdfs:label "tendon strain"@en ; "Definition of the tendon strain in terms of the length of tendon under stress and the stress-free length of tendon."@en ; ; ; "stretching or partially tearing a tendon"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "lT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝓁Tslack"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674103 rdf:type owl:NamedIndividual , ; "ε"@en , "ε0"@en , "εr"@en ; "εr≡εε0"@en ; rdfs:label "relative permittivity"@en ; ; "Q4027242"@en ; "The relative permittivity (in older texts, dielectric constant) is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum. A dielectric is an insulating material, and the dielectric constant of an insulator measures the ability of the insulator to store electric energy in an electrical field. Permittivities may be complex and frequency-dependent."@en ; ; ; "permittivity of a material expressed as a ratio with the electric permittivity of a vacuum"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "εr"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674104 rdf:type owl:NamedIndividual , ; "P"@en , "e"@en , "k"@en , "λ"@en ; "P(k;λ)≡λke−λk!"@en ; rdfs:label "Poisson distribution"@en ; ; "Q205692"@en ; "Assuming that these events occur with a known constant mean rate and independently of the time since the last event."@en ; ; ; ; ; "discrete probability distribution that models the number of events occurring in a fixed interval of time or space, given a constant mean rate of occurrence"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674105 rdf:type owl:NamedIndividual , ; rdfs:label "proton-to-electron mass ratio"@en ; ; "Q2912520"@en ; ; ; "Value_ProtonElectronMassRatio"@en . ### https://portal.mardi4nfdi.de/entity/Q6674106 rdf:type owl:NamedIndividual , ; rdfs:label "proton mass"@en ; "Q97275155"@en ; ; ; ; ; "ProtonMass"@en ; "fundamental physical constant giving the proton rest mass"@en . ### https://portal.mardi4nfdi.de/entity/Q6674107 rdf:type owl:NamedIndividual , ; rdfs:label "angular momentum operator"@en ; ; "Q1190143"@en ; "In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic and molecular physics and other quantum problems involving rotational symmetry."@en ; ; ; "quantum mechanical operator related to rotational symmetry"@en . ### https://portal.mardi4nfdi.de/entity/Q6674108 rdf:type owl:NamedIndividual , ; "ℏ"@en , "M"@en , "R"@en , "P^"@en , "T^"@en ; "T^≡P^22M=−ℏ22M∇R2"@en ; rdfs:label "kinetic energy operator"@en ; "Q112658527"@en ; "In quantum mechanics, this is the (position representation of the) kinetic energy operator a quantum system in Cartesian coordinates. Obviously, a derivative operator acting on a (position representation) wave function."@en ; ; ; , ; , ; "operator representing the kinetic energy of a quantum system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P^"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674109 rdf:type owl:NamedIndividual , ; rdfs:label "potential energy operator"@en ; "In quantum mechanics, this is the operator representing the potential energy of a quantum system. Typically, a function of the positions of the particles. Hence, a multiplicative operator."@en ; ; ; ; , ; "operator representing the potential energy of a quantum system"@en . ### https://portal.mardi4nfdi.de/entity/Q6674110 rdf:type owl:NamedIndividual , ; "ℏ"@en , "p"@en , "i"@en ; "p≡−iℏ∇"@en ; rdfs:label "momentum operator"@en ; ; ; , ; "in the coordinate representation of quantum mechanics, the momentum of a particle is represented by this operator"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674111 rdf:type owl:NamedIndividual , ; rdfs:label "rate of becoming infectious"@en ; ; ; "inverse of Incubation period"@en . ### https://portal.mardi4nfdi.de/entity/Q6674112 rdf:type owl:NamedIndividual , ; rdfs:label "symptomatic infection rate"@en ; ; ; , ; "constant representing the symptomatic infection rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6674113 rdf:type owl:NamedIndividual , ; rdfs:label "scaling parameter for switching influencers"@en ; ; ; "scaling parameter used in the rate of switching influencers"@en . ### https://portal.mardi4nfdi.de/entity/Q6674114 rdf:type owl:NamedIndividual , ; rdfs:label "removed"@en ; ; ; ; "general quantity for removed entities"@en . ### https://portal.mardi4nfdi.de/entity/Q6674115 rdf:type owl:NamedIndividual , ; rdfs:label "spreading rate (time-dependent)"@en ; ; ; "time-dependent spreading rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6674116 rdf:type owl:NamedIndividual , ; rdfs:label "unit outer normal vector"@en ; ; ; , ; "unit normal vector that points outsid of the surface"@en . ### https://portal.mardi4nfdi.de/entity/Q6674117 rdf:type owl:NamedIndividual , ; rdfs:label "state variable"@en ; ; "Q7603913"@en ; ; ; "variable whose value is uniquely determined by the state of a dynamical system"@en . ### https://portal.mardi4nfdi.de/entity/Q6674118 rdf:type owl:NamedIndividual , ; rdfs:label "stress free tendon length"@en ; ; ; "length of a tendon when it is not under any tension or stress"@en . ### https://portal.mardi4nfdi.de/entity/Q6674119 rdf:type owl:NamedIndividual , ; rdfs:label "Cauchy stress tensor"@en ; ; "Q13409892"@en ; "In the case of finite deformations, the Cauchy stress tensors express the stress relative to the present configuration. This is in contrast to the Piola–Kirchhoff stress tensor which expresses the stress relative to the reference configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en ; ; ; ; "stress relative to the present configuration"@en . ### https://portal.mardi4nfdi.de/entity/Q6674120 rdf:type owl:NamedIndividual , ; rdfs:label "susceptibles"@en ; ; ; , ; "general quantity for susceptible entities"@en . ### https://portal.mardi4nfdi.de/entity/Q6674121 rdf:type owl:NamedIndividual , ; rdfs:label "transport route"@en ; "Q1297806"@en ; ; ; ; "route on which goods, persons or data are transported"@en . ### https://portal.mardi4nfdi.de/entity/Q6674122 rdf:type owl:NamedIndividual , ; rdfs:label "vibration frequency (anharmonic)"@en ; ; ; ; , ; "frequency of oscillation in systems that deviate from the ideal harmonic oscillator model"@en . ### https://portal.mardi4nfdi.de/entity/Q6674123 rdf:type owl:NamedIndividual , ; rdfs:label "wave vector of an electron"@en ; "Vector pointing in the direction of a wave and whose magnitude is equal to the wavenumber. In quantum mechanics/condensed matter physics, a wave vector is the quotient of the momentum vector of particles or quasi particles and the reduced Planck constant."@en ; ; ; , ; "vector pointing in the direction of propagation of an electron wave and whose magnitude is equal to the wavenumber"@en . ### https://portal.mardi4nfdi.de/entity/Q6674125 rdf:type owl:NamedIndividual , ; "FPTE"@en , "ϵT"@en , "𝓁T"@en , "F0M"@en ; "FPTE(𝓁T(t))≡{F0M0.10377(exp⁡(91−ϵT(t))−1) if 0≤ϵT(t)≤0.01516F0M(37.526ϵT(t)−0.26029) if 0.01516<ϵT(t)<0.1"@en ; rdfs:label "passive tendon force"@en ; "Concrete values are fitted on experimental studies, see reference."@en ; ; ; , ; "force that a tendon can generate without the muscle actively contracting"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FPTE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝓁T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F0M"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674126 rdf:type owl:NamedIndividual , ; "A"@en , "n"@en ; "1−An+n0≥13"@en ; rdfs:label "Allee effect"@en ; ; "Q2301505"@en ; "The Allee effect is used to model the infection rate as a function of population density, where it represents a lower transmission probability in less densely populated regions. We adopt the effect and bound it from below by 1⁄3. This ensures that the effect is at most three times lower in sparsely populated areas than in regions with high population density. To enforce the lower bound, we apply a shift n₀ in the Allee term. We choose n₀ = ³⁄₂·A."@en ; ; ; ; ; "effect to model the infection rate as a function of population density"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674127 rdf:type owl:NamedIndividual , ; "B"@en , "E"@en , "J"@en , "t"@en , "μ0"@en , "ϵ0"@en ; "∇×𝐁=μ0(𝐉+ϵ0∂𝐄∂t)"@en ; rdfs:label "Ampère's circuital law"@en ; ; "Q51500"@en ; ; ; ; "Ampère's circuital law (with Maxwell's addition) relates the integrated magnetic field around a closed loop to the electric current passing through the loop"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "J"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674128 rdf:type owl:NamedIndividual , ; "g"@en , "n"@en , "Ug"@en , "k0"@en , "sg"@en , "ψg"@en , "Λm∗"@en ; "ddzψ𝐠(z)=2iπs𝐠ψ𝐠(z)+iπρ𝐠∑𝐡∈Λm∗U𝐠−𝐡ψ𝐡(z)sg=−g⋅(2k0+g)2n⋅(k0+g)"@en ; rdfs:label "Darwin-Howie-Whelan equation for an unstrained crystal"@en ; ; ; , , ; "simuating TEM images of an unstrained crystal by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ug"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "sg"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψg"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λm∗"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674129 rdf:type owl:NamedIndividual , ; "g"@en , "n"@en , "u"@en , "Ug"@en , "k0"@en , "sg"@en , "ψg"@en , "Λm∗"@en ; "ddzφ𝐠(z)=2iπ(s𝐠+ddz(𝐠⋅𝐮(𝐫)))φ𝐠(z)+iπ∑𝐡∈Λm∗U𝐠−𝐡φ𝐡(z)sg=−g⋅(2k0+g)2n⋅(k0+g)"@en ; rdfs:label "Darwin-Howie-Whelan equation for a strained crystal"@en ; ; ; ; , , ; "simuating TEM images by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ug"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "sg"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψg"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λm∗"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674130 rdf:type owl:NamedIndividual , ; "g"@en , "φ𝐠(0)"@en , "Λm∗"@en ; "φ𝐠(0)=δ𝟎,𝐠for 𝐠∈Λm∗"@en ; rdfs:label "initial condition for electron scattering"@en ; ; ; "initial condition for electron scattering, used for modeling of transmission electron microscopy"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "φ𝐠(0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λm∗"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674132 rdf:type owl:NamedIndividual , ; "A,B,C"@en , "N"@en , "ζ"@en , "χ"@en , "ω"@en , "ϕ"@en ; "χrr=116ϕrrrr−116∑s=13N−6ϕrrs28ωr2−3ωs2ωs(4ωr2−ωs2)χrs=14ϕrrss−14∑t=13N−6ϕrrtϕtssωt−12∑t=13N−6ϕrst2ωt(ωt2−ωr2−ωs2)Δrst+[A(ζr,s(a))2+B(ζr,s(b))2+C(ζr,s(c))2][ωrωs+ωsωr]Δrst=(ωr+ωs+ωt)(ωr−ωs−ωt)(−ωr+ωs−ωt)(−ωr−ωs+ωt)"@en ; rdfs:label "anharmonicity constant (perturbation theory)"@en ; "Considering the comparable magnitude of contributions of cubic anharmonicity in second order and quartic anharmonicity in first order."@en ; ; ; , ; "anharmonicity constants, derived by using second order (non-degenerate) perturbation theory"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A,B,C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ζ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674133 rdf:type owl:NamedIndividual , ; "t"@en , "σ"@en , "ϕ"@en , "dsm(τ)dτ"@en , "NR"@en , "Pm"@en ; "ϕ(t|σ,i(0))≡(Pm−∫0tdsm(τ)dτ|σ,Pm−i(0)dτ)m=1,…,NR"@en ; rdfs:label "spreading curve (approximate, formulation)"@en ; ; ; ; "definition of approximate spreading curve through time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dsm(τ)dτ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "NR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Pm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674134 rdf:type owl:NamedIndividual , ; "t"@en , "NR"@en , "im(t)"@en ; "(im(t=0))m=1NR=i(0)"@en ; rdfs:label "initial number of infected cities"@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "NR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "im(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674135 rdf:type owl:NamedIndividual , ; "a"@en , "b"@en , "c"@en , "x"@en , "ρ"@en , "ϕ"@en , "ℱ"@en ; "ℱ(x,ym,zl,ρ)=a∫Dρ(x′,t)φ(‖x′−x‖)(x′−x)dx′∫Dρ(x′,t)φ(‖x′−x‖)dx′+b(ym(t)−x)+c(zl(t)−x)"@en ; rdfs:label "attraction force at opinion formulation"@en ; ; ; "attraction force at a specific opinion x"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℱ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674136 rdf:type owl:NamedIndividual , ; "t"@en , "Cl(t)"@en , "xi(t)"@en , "x̂l(t)"@en ; "x̂l(t)=1∑kCkl(t)∑i=1NCil(t)xi(t)"@en ; rdfs:label "average opinion of followers of infuencers formulation"@en ; ; ; "equation describing the average opinon of the followers of a specific Influencer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cl(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xi(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x̂l(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674137 rdf:type owl:NamedIndividual , ; "t"@en , "x"@en , "nm,l"@en , "ρm,l"@en , "x̂l(t)"@en ; "x̂l(t)=∑m=1M∫Dxρm,l(x,t)dx∑m=1Mnm,l(t)"@en ; rdfs:label "average opinion of followers of infuencers in the partial mean field model formulation"@en ; ; ; "equation describing the average opinon of the followers of a specific influencer in the partial mean field opinion model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nm,l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρm,l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x̂l(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674138 rdf:type owl:NamedIndividual , ; "t"@en , "Bm(t)"@en , "xi(t)"@en , "x~m(t)"@en ; "x~m(t)=1∑kBkm(t)∑i=1NBim(t)xi(t)"@en ; rdfs:label "average opinion of followers of media formulation"@en ; ; ; "equation describing the average opinon of the followers of a specific medium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Bm(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xi(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~m(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674139 rdf:type owl:NamedIndividual , ; "t"@en , "x"@en , "nm,l"@en , "ρm,l"@en , "x~m(t)"@en ; "x~m(t)=∑l=1L∫Dxρm,l(x,t)dx∑l=1Lnm,l(t)"@en ; rdfs:label "average opinion of followers of media in the partial mean field model formulation"@en ; ; ; "equation describing the average opinon of the followers of a specific medium in the partial field opinion model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nm,l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρm,l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~m(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674140 rdf:type owl:NamedIndividual , ; "T"@en , "σ"@en , "Wc"@en , "Wo"@en ; "T−1Wc(T−1)∗=T∗WoT=(σ10⋱0σn)=Σ"@en ; rdfs:label "balancing transformation"@en ; "The transformation T is a contragredient transformation and exists whenever 𝑊𝑐 and 𝑊ₒ are symmetric and positive definite. Note that the squared HSVs are the eigenvalues of the product of 𝑊𝑐 and 𝑊ₒ."@en ; ; ; "coordinate transformation T under which controllability and observability Gramians become equal and diagonal matrices comprising the Hankel singular values"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wc"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674141 rdf:type owl:NamedIndividual , ; "X"@en ; "AX+XAH+Q=0"@en ; rdfs:label "Lyapunov equation"@en ; ; "Q1028945"@en ; "Numerical solution of a Lyapunov equation via Zhou and Sorensen 2-solve method, implemented as part of the Matrix Equation Sparse Solver (M.E.S.S.) project. Copyright 2009–2022 Jens Saak, Martin Koehler, Peter Benner and others."@en ; ; ; ; , , , ; ; ; ; "matrix equation used in the stability analysis of linear dynamical systems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674142 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "N"@en , "t"@en , "u"@en , "x"@en ; "x˙(t)=(A+u(t)N)x(t)+Bu(t)"@en ; rdfs:label "control system input bilinear"@en ; ; ; ; ; "bilinear input equation for control systems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674143 rdf:type owl:NamedIndividual , ; "t"@en , "u"@en , "A~"@en , "B~"@en , "N~"@en , "x~"@en ; "x~˙(t)=(A~+u(t)N~)x~(t)+B~u(t)"@en ; rdfs:label "control system input bilinear (reduced)"@en ; ; ; ; "bilinear input equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674144 rdf:type owl:NamedIndividual , ; "t"@en , "y"@en , "C~"@en , "x~"@en ; "y(t)=C~x~(t)"@en ; rdfs:label "control system output linear (reduced)"@en ; ; ; "linear output equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674145 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "N"@en , "Wc"@en ; "AWc+WcA∗+∑kNkWcNk∗+BB∗=0"@en ; rdfs:label "Lyapunov generalized controllability"@en ; "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en , "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en ; ; ; ; , ; ; "generalized Lyapunov equation used in the stability analysis of linear dynamical systems to determine the controllability"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674146 rdf:type owl:NamedIndividual , ; "A"@en , "C"@en , "N"@en , "Wc"@en ; "A∗Wo+WoA+∑kNk∗WoNk+C∗C=0"@en ; rdfs:label "Lyapunov generalized observability"@en ; "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en , "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en ; ; ; ; , ; ; "generalized Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674147 rdf:type owl:NamedIndividual , ; "t"@en , "x"@en , "x0"@en ; "x(t=0)=x0"@en ; rdfs:label "initial condition for control state"@en ; ; ; "initial condition for a control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674148 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "t"@en , "u"@en , "x"@en ; "x˙(t)=Ax(t)+Bu(t)"@en ; rdfs:label "control system input linear"@en ; ; ; ; , ; ; "linear input equation for control systems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674149 rdf:type owl:NamedIndividual , ; "t"@en , "u"@en , "A~"@en , "B~"@en , "x~"@en ; "x~˙(t)=A~x~(t)+B~u(t)"@en ; rdfs:label "control system input linear (reduced)"@en ; ; ; "linear input equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674150 rdf:type owl:NamedIndividual , ; "C"@en , "t"@en , "x"@en , "y"@en ; "y(t)=Cx(t)"@en ; rdfs:label "control system output linear"@en ; ; ; ; , ; ; "linear output equation for control systems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674151 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "Wc"@en ; "AWc+WcA∗+BB∗=0"@en ; rdfs:label "Lyapunov equation controllability"@en ; "For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement."@en ; ; ; , ; ; "Lyapunov equation used in the stability analysis of linear dynamical systems to determine the controllability"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674152 rdf:type owl:NamedIndividual , ; "A"@en , "C"@en , "Wo"@en ; "A∗Wo+WoA+C∗C=0"@en ; rdfs:label "Lyapunov equation observability"@en ; "For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement."@en ; ; ; , ; ; "Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674153 rdf:type owl:NamedIndividual , ; "K"@en , "n"@en , "μ"@en , "τ"@en , "tff,pm"@en , "αBJ"@en , "vff"@en ; "[(v+K(αBJμ)−1τn)⋅tff,pm]ff=0onΓ"@en ; rdfs:label "Beavers–Joseph-Saffman condition"@en ; ; ; , ; , , ; "boundary condition between an unconfined incompressible viscous fluid (Stokes model) and fluid inside a porous medium (Darcy model)"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "τ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "tff,pm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αBJ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vff"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674154 rdf:type owl:NamedIndividual , ; "t"@en , "cEX"@en ; "dcEXdt=0"@en ; rdfs:label "steady state assumption"@en ; ; ; "rate of bound enzyme formation and breakdown is equal"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEX"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674155 rdf:type owl:NamedIndividual , ; "k"@en , "n"@en , "v"@en , "ci"@en ; "v=k∏i=1nci"@en ; rdfs:label "law of mass action"@en ; ; "Q899494"@en ; ; ; "rate of chemical reaction is directly proportional to the product of the activities or concentrations of the reactants"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ci"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674156 rdf:type owl:NamedIndividual , ; "t"@en ; "δt+∇F=0"@en ; rdfs:label "mass balance"@en ; ; "Q3276889"@en ; ; ; "mass that enters a system must, by conservation of mass, either leave the system or accumulate within the system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674157 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=cP1,0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction ordered with product 1 - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674158 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ordered without product 2 - Michaelis Menten model)"@en ; ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674159 rdf:type owl:NamedIndividual , ; "t"@en , "cS1"@en ; "cS1(t=0)=cS1,0"@en ; rdfs:label "initial substrate 1 concentration (bi bi reaction ordered - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674160 rdf:type owl:NamedIndividual , ; "t"@en , "cS2"@en ; "cS2(t=0)=cS2,0"@en ; rdfs:label "initial substrate 2 concentration (bi bi reaction ordered - Michaelis Menten model)"@en ; ; ; , , , , , , , , , , , , ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674161 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction ordered without product 1 - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674162 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ordered with product 2 - Michaelis Menten model)"@en ; ; ; , , , , , , , , , , , ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674163 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "dcEP1dt"@en , "dcEP1P2dt"@en , "dcES1dt"@en , "dcES1S2dt"@en , "dcP1dt"@en , "dcP2dt"@en , "dcS1dt"@en , "dcS2dt"@en , "cE"@en , "cEP1"@en , "cEP1P2"@en , "cES1"@en , "cES1S2"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k3"@en , "k4"@en , "k5"@en , "k−1"@en , "k−2"@en , "k−3"@en , "k−4"@en , "k−5"@en ; "dcS1dt=k−1cES1−k1cEcS1dcS2dt=k−2cES1S2−k2cES1cS2dcES1dt=k1cEcS1+k−2cES1S2−k−1cES1−k2cES1cS2dcES1S2dt=k2cES1cS2+k−3cEP1P2−k−2cES1S2−k3cES1S2dcEP1P2dt=k3cES1S2+k−4cEP1cP2−k−3cEP1P2−k4cEP1P2dcEP1dt=k4cEP1P2+k−5cEcP1−k−4cEP1cP2−k5cEP1dcP1dt=k5cEP1−k−5cEcP1dcP2dt=k4cEP1P2−k−4cEP1cP2dcEdt=k−1cES1+k5cEP1−k1cEcS1−k−5cEcP1"@en ; rdfs:label "bi bi reaction ordered mechanism ODE system"@en ; ; ; , , , , , , , , ; "system of ordinary differential equations describing a bi bi reaction with an ordered mechanism"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP1P2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1S2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674164 rdf:type owl:NamedIndividual , ; "cE"@en , "cEX"@en , "cE0"@en ; "cE0=cE+cEX"@en ; rdfs:label "enzyme conservation"@en ; ; ; ; "enzyme molecules are neither formed nor destroyed during the reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEX"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674165 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (bi bi reaction ordered - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674166 rdf:type owl:NamedIndividual , ; "t"@en , "cEP1"@en ; "cEP1(t=0)=cEP10"@en ; rdfs:label "initial enzyme - product 1 - complex concentration (bi bi reaction ordered - ODE model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674167 rdf:type owl:NamedIndividual , ; "t"@en , "cPS1P2"@en ; "cEP1P2(t=0)=cEP1P20"@en ; rdfs:label "initial enzyme - product 1 - product 2 - complex concentration (bi bi reaction ordered - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cPS1P2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674168 rdf:type owl:NamedIndividual , ; "t"@en , "cES1"@en ; "cES1(t=0)=cES10"@en ; rdfs:label "initial enzyme - substrate 1 - complex concentration (bi bi reaction ordered - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674169 rdf:type owl:NamedIndividual , ; "t"@en , "cES1S2"@en ; "cES1S2(t=0)=cES1S20"@en ; rdfs:label "initial enzyme - substrate 1 - substrate 2 - complex concentration (bi bi reaction ordered - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674170 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=cP1,0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction ordered - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674171 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ordered - ODE model)"@en ; ; ; , , , , , , , , , , , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674172 rdf:type owl:NamedIndividual , ; "t"@en , "cS1"@en ; "cS1(t=0)=cS1,0"@en ; rdfs:label "initial substrate 1 concentration (bi bi reaction ordered - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674173 rdf:type owl:NamedIndividual , ; "t"@en , "cS2"@en ; "cS2(t=0)=cS2,0"@en ; rdfs:label "initial substrate 2 concentration (bi bi reaction ordered - ODE model)"@en ; ; ; , , , , , , , , , , , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674174 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "dcEP1dt"@en , "dcES1dt"@en , "dcES1S2=EP1P2dt"@en , "dcP1dt"@en , "dcP2dt"@en , "dcS1dt"@en , "dcS2dt"@en , "cE"@en , "cEP1"@en , "cES1"@en , "cES1S2=EP1P2"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k4"@en , "k5"@en , "k−1"@en , "k−2"@en , "k−4"@en , "k−5"@en ; "dcS1dt=k−1cES1−k1cEcS1dcS2dt=k−2cES1S2=EP1P2−k2cES1cS2dcES1dt=k1cEcS1+k−2cES1S2=EP1P2−k−1cES1−k2cES1cS2dcES1S2=EP1P2dt=k2cES1cS2−k−2cES1S2=EP1P2+k−4cEP1cP2−k4cES1S2=EP1P2dcEP1dt=k4cES1S2=EP1P2+k−5cEcP1−k−4cEP1cP2−k5cEP1dcP1dt=k5cEP1−k−5cEcP1dcP2dt=k4cES1S2=EP1P2−k−4cEP1cP2dcEdt=k−1cES1+k5cEP1−k1cEcS1−k−5cEcP1"@en ; rdfs:label "bi bi reaction ordered mechanism with single central complex ODE system"@en ; ; ; , , , , , , , ; "system of ordinary differential equations describing a bi bi reaction with an ordered mechanism and Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1S2=EP1P2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674175 rdf:type owl:NamedIndividual , ; "t"@en , "cES1S2=EP1P2"@en ; "cES1S2=EP1P2(t=0)=cES1S2=EP1P20"@en ; rdfs:label "initial enzyme - substrate 1 - substrate 2 = enzyme product 1 - product 2 - complex concentration (bi bi reaction ordered with single central compelx - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674176 rdf:type owl:NamedIndividual , ; "t"@en , "dcEP1P2dt"@en , "cEP1"@en , "cEP1P2"@en , "cES1S2"@en , "cP2"@en , "k3"@en , "k4"@en , "k−3"@en , "k−4"@en ; "dcEP1P2dt=k3cES1S2+k−4cEP1cP2−k−3cEP1P2−k4cEP1P2"@en ; rdfs:label "enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP1P2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674177 rdf:type owl:NamedIndividual , ; "t"@en , "dcEP1dt"@en , "cE"@en , "cEP1"@en , "cEP1P2"@en , "cP1"@en , "cP2"@en , "k4"@en , "k5"@en , "k−4"@en , "k−5"@en ; "dcEP1dt=k4cEP1P2+k−5cEcP1−k−4cEP1cP2−k5cEP1"@en ; rdfs:label "enzyme - product 1 - complex concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674178 rdf:type owl:NamedIndividual , ; "t"@en , "dcES1S2dt"@en , "cEP1P2"@en , "cES1"@en , "cES1S2"@en , "cS2"@en , "k2"@en , "k3"@en , "k−2"@en , "k−3"@en ; "dcES1S2dt=k2cES1cS2+k−3cEP1P2−k−2cES1S2−k3cES1S2"@en ; rdfs:label "enzyme - substrate 1 - substrate 2 - complex concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1S2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674179 rdf:type owl:NamedIndividual , ; "t"@en , "dcES1dt"@en , "cE"@en , "cES1"@en , "cES1S2"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcES1dt=k1cEcS1+k−2cES1S2−k−1cES1−k2cES1cS2"@en ; rdfs:label "enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674180 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "cE"@en , "cEP1"@en , "cES1"@en , "cP1"@en , "cS1"@en , "k1"@en , "k5"@en , "k−1"@en , "k−5"@en ; "dcEdt=k−1cES1+k5cEP1−k1cEcS1−k−5cEcP1"@en ; rdfs:label "enzyme concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674181 rdf:type owl:NamedIndividual , ; "t"@en , "dcP1dt"@en , "cE"@en , "cEP1"@en , "cP1"@en , "k5"@en , "k−5"@en ; "dcP1dt=k5cEP1−k−5cEcP1"@en ; rdfs:label "product 1 concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674182 rdf:type owl:NamedIndividual , ; "t"@en , "dcP2dt"@en , "cEP1"@en , "cEP1P2"@en , "cP2"@en , "k4"@en , "k−4"@en ; "dcP2dt=k4cEP1P2−k−4cEP1cP2"@en ; rdfs:label "product 2 concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674183 rdf:type owl:NamedIndividual , ; "t"@en , "dcS1dt"@en , "cE"@en , "cES1"@en , "cS1"@en , "k1"@en , "k−1"@en ; "dcS1dt=k−1cES1−k1cEcS1"@en ; rdfs:label "substrate 1 concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674184 rdf:type owl:NamedIndividual , ; "t"@en , "dcS2dt"@en , "cES1"@en , "cES1S2"@en , "cS2"@en , "k2"@en , "k−2"@en ; "dcS2dt=k−2cES1S2−k2cES1cS2"@en ; rdfs:label "substrate 2 concentration ODE (bi bi reaction ordered)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674185 rdf:type owl:NamedIndividual , ; "t"@en , "dcEP1dt"@en , "cE"@en , "cEP1"@en , "cES1S2=EP1P2"@en , "cP1"@en , "cP2"@en , "k4"@en , "k5"@en , "k−4"@en , "k−5"@en ; "dcEP1dt=k4cES1S2=EP1P2+k−5cEcP1−k−4cEP1cP2−k5cEP1"@en ; rdfs:label "enzyme - product 1 - complex concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674186 rdf:type owl:NamedIndividual , ; "t"@en , "dcES1S2=EP1P2dt"@en , "cEP1"@en , "cES1"@en , "cES1S2=EP1P2"@en , "cP2"@en , "cS2"@en , "k2"@en , "k4"@en , "k−2"@en , "k−4"@en ; "dcES1E2=EP1P2dt=k2cES1cS2−k−2cES1E2=EP1P2−k4cES1E2=EP1P2+k−4cEP1cP2"@en ; rdfs:label "enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1S2=EP1P2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674187 rdf:type owl:NamedIndividual , ; "t"@en , "dcES1dt"@en , "cE"@en , "cES1"@en , "cES1S2=EP1P2"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcES1dt=k1cEcS1+k−2cES1S2=EP1P2−k−1cES1−k2cES1cS2"@en ; rdfs:label "enzyme - substrate 1 - complex concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674188 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "cE"@en , "cEP1"@en , "cES1"@en , "cP1"@en , "cS1"@en , "k1"@en , "k5"@en , "k−1"@en , "k−5"@en ; "dcEdt=k−1cES1+k5cEP1−k1cEcS1−k−5cEcP1"@en ; rdfs:label "enzyme concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674189 rdf:type owl:NamedIndividual , ; "t"@en , "dcP1dt"@en , "cE"@en , "cEP1"@en , "cP1"@en , "k5"@en , "k−5"@en ; "dcP1dt=k5cEP1−k−5cEcP1"@en ; rdfs:label "product 1 concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674190 rdf:type owl:NamedIndividual , ; "t"@en , "dcP2dt"@en , "cEP1"@en , "cES1S2=EP1P2"@en , "cP2"@en , "k4"@en , "k−4"@en ; "dcP2dt=k4cES1S2=EP1P2−k−4cEP1cP2"@en ; rdfs:label "product 2 concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674191 rdf:type owl:NamedIndividual , ; "t"@en , "dcS1dt"@en , "cE"@en , "cES1"@en , "cS1"@en , "k1"@en , "k−1"@en ; "dcS1dt=k−1cES1−k1cEcS1"@en ; rdfs:label "substrate 1 concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674192 rdf:type owl:NamedIndividual , ; "t"@en , "dcS2dt"@en , "cES1"@en , "cES1S2=EP1P2"@en , "cS2"@en , "k2"@en , "k−2"@en ; "dcS2dt=k−2cES1S2=EP1P2−k2cES1cS2"@en ; rdfs:label "substrate 2 concentration ODE (bi bi reaction ordered with single central complex)"@en ; ; ; "ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1S2=EP1P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674193 rdf:type owl:NamedIndividual , ; "KiP1"@en , "KiS1"@en , "KS1"@en , "KS2"@en , "V1"@en , "cP1"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1cS1cS2KS2cS1+KS1cS2+cS1cS2+KiS1KS2KiP1cP1+KS2KiP1cS1cP1"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ping pong with product 1 - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , ; ; , ; "equation for bi bi reaction with ping pong mechanism with product 1 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674194 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=cP1,0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction ping pong with product 1 - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674195 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ping pong without product 2 - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674196 rdf:type owl:NamedIndividual , ; "t"@en , "cS1"@en ; "cS1(t=0)=cS1,0"@en ; rdfs:label "initial substrate 1 concentration (bi bi reaction ping pong - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674197 rdf:type owl:NamedIndividual , ; "t"@en , "cS2"@en ; "cS2(t=0)=cS2,0"@en ; rdfs:label "initial substrate 2 concentration (bi bi reaction ping pong - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674198 rdf:type owl:NamedIndividual , ; "KiP2"@en , "KiS2"@en , "KS1"@en , "KS2"@en , "V1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1cS1cS2KS2cS1+KS1cS2+cS1cS2+KS1KiS2KiP2cP2+KS1KiP2cS1cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ping pong with product 2 - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , ; ; , ; "equation for bi bi reaction with ping pong mechanism with products 2 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674199 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction ping pong without product 1 - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674200 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ping pong with product 2 - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674201 rdf:type owl:NamedIndividual , ; "Keq"@en , "KiP1"@en , "KiP2"@en , "KiS1"@en , "KiS2"@en , "KP1"@en , "KP2"@en , "KS1"@en , "KS2"@en , "V1"@en , "V2"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1V2(cS1cS2−cP1cP2Keq)V2KS2cS1+V2KS1cS2+V1KP2KeqcP2+V1KP1KeqcP2+V2cS1cS2+V1KP2KiS1KeqcS1cP1+V1KeqcP1cP2+V2KS1KiP2cS2cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ping pong with products 1 and 2 - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , , , , ; , , ; , ; "equation for bi bi reaction with ping pong mechanism with products 1 and 2 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674202 rdf:type owl:NamedIndividual , ; "KS1"@en , "KS2"@en , "V1"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1∗cS1∗cS2KS2∗cS1+KS1∗cS2+cS1∗cS2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ping pong without products - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; , ; "equation for bi bi reaction with ping pong mechanism without products following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674203 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "dcE∗dt"@en , "dcE∗S2dt"@en , "dcES1dt"@en , "dcP1dt"@en , "dcP2dt"@en , "dcS1dt"@en , "dcS2dt"@en , "cE"@en , "cE∗"@en , "cE∗S2"@en , "cES1"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k3"@en , "k4"@en , "k−1"@en , "k−2"@en , "k−3"@en , "k−4"@en ; "dcS1dt=k−1cES1−k1cEcS1dcS2dt=k−3cE∗S2−k3cE∗cS2dcEdt=k−1cES1+k4cE∗S2−k1cEcS1−k−4cEcP2dcES1dt=k1cEcS1+k−2cE∗cP1−k−1cES1−k2cES1dcE∗dt=k2cES1+k−3cE∗S2−k−2cE∗cP1−k3cE∗cS2dcE∗S2dt=k3cE∗cS2+k−4cEcP2−k−3cE∗S2−k4cE∗S2dcP1dt=k2cES1−k−2cE∗cP1dcP2dt=k4cE∗S2−k−4cP2cE"@en ; rdfs:label "bi bi reaction ping pong mechanism ODE system"@en ; ; ; , , , , , , , ; "system of ordinary differential equations describing a bi bi reaction with a ping pong mechanism"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcE∗dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcE∗S2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674204 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674205 rdf:type owl:NamedIndividual , ; "t"@en , "cES1"@en ; "cES1(t=0)=cES10"@en ; rdfs:label "initial enzyme - substrate 1 - complex concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674206 rdf:type owl:NamedIndividual , ; "t"@en , "cE∗"@en ; "cE∗(t=0)=cE∗0"@en ; rdfs:label "initial intermediate concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674207 rdf:type owl:NamedIndividual , ; "t"@en , "cE∗S2"@en ; "cE∗S2(t=0)=cE∗S20"@en ; rdfs:label "initial intermediate - substrate 2 - complex concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674208 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=cP1,0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674209 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674210 rdf:type owl:NamedIndividual , ; "t"@en , "cS1"@en ; "cS1(t=0)=cS1,0"@en ; rdfs:label "initial substrate 1 concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674211 rdf:type owl:NamedIndividual , ; "t"@en , "cS2"@en ; "cS2(t=0)=cS2,0"@en ; rdfs:label "initial substrate 2 concentration (bi bi reaction ping pong - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674212 rdf:type owl:NamedIndividual , ; "t"@en , "dcES1dt"@en , "cE"@en , "cE∗"@en , "cES1"@en , "cP1"@en , "cS1"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcES1dt=k1cEcS1+k−2cE∗cP1−k−1cES1−k2cES1"@en ; rdfs:label "enzyme - substrate 1 - complex concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674213 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "cE"@en , "cE∗S2"@en , "cES1"@en , "cP2"@en , "cS1"@en , "k1"@en , "k4"@en , "k−1"@en , "k−4"@en ; "dcEdt=k−1cES1+k4cE∗S2−k1cEcS1−k−4cEcP2"@en ; rdfs:label "enzyme concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674214 rdf:type owl:NamedIndividual , ; "t"@en , "dcE∗dt"@en , "cE∗"@en , "cE∗S2"@en , "cES1"@en , "cP1"@en , "cS2"@en , "k2"@en , "k3"@en , "k−2"@en , "k−3"@en ; "dcE∗dt=k2cES1+k−3cE∗S2−k−2cE∗cP1−k3cE∗cS2"@en ; rdfs:label "intermediate concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcE∗dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674215 rdf:type owl:NamedIndividual , ; "t"@en , "dcE∗S2dt"@en , "cE"@en , "cE∗"@en , "cE∗S2"@en , "cP2"@en , "cS2"@en , "k3"@en , "k4"@en , "k−3"@en , "k−4"@en ; "dcE∗S2dt=k3cE∗cS2+k−4cEcP2−k−3cE∗S2−k4cE∗S2"@en ; rdfs:label "intermediate - substrate 2 - complex concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcE∗S2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674216 rdf:type owl:NamedIndividual , ; "t"@en , "dcP1dt"@en , "cE∗"@en , "cES1"@en , "cP1"@en , "k2"@en , "k−2"@en ; "dcP1dt=k2cES1−k−2cE∗cP1"@en ; rdfs:label "product 1 concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674217 rdf:type owl:NamedIndividual , ; "t"@en , "dcP2dt"@en , "cE"@en , "cE∗S2"@en , "cP2"@en , "k4"@en , "k−4"@en ; "dcP2dt=k4cE∗S2−k−4cP2cE"@en ; rdfs:label "product 2 concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674218 rdf:type owl:NamedIndividual , ; "t"@en , "dcS1dt"@en , "cE"@en , "cES1"@en , "cS1"@en , "k1"@en , "k−1"@en ; "dcS1dt=k−1cES1−k1cEcS1"@en ; rdfs:label "substrate 1 concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674219 rdf:type owl:NamedIndividual , ; "t"@en , "dcS2dt"@en , "cE∗"@en , "cE∗S2"@en , "cS2"@en , "k3"@en , "k−3"@en ; "dcS2dt=k−3cE∗S2−k3cE∗cS2"@en ; rdfs:label "substrate 2 concentration ODE (bi bi reaction ping pong)"@en ; ; ; "ordinary differential equation describing the concentration over time in a ping pong bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE∗S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674220 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=cP1,0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674221 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction Theorell-Chance without product 2 - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674222 rdf:type owl:NamedIndividual , ; "t"@en , "cS1"@en ; "cS1(t=0)=cS1,0"@en ; rdfs:label "initial substrate 1 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674223 rdf:type owl:NamedIndividual , ; "t"@en , "cS2"@en ; "cS2(t=0)=cS2,0"@en ; rdfs:label "initial substrate 2 concentration (bi bi reaction Theorell-Chance - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674224 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction Theorell-Chance without product 1 - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674225 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674226 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "dcEP2dt"@en , "dcES1dt"@en , "dcP1dt"@en , "dcP2dt"@en , "dcS1dt"@en , "dcS2dt"@en , "cE"@en , "cEP2"@en , "cES1"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k3"@en , "k−1"@en , "k−2"@en , "k−3"@en ; "dcS1dt=k−1cES1−k1cEcS1dcS2dt=k−2cEP2cP1−k2cES1cS2dcP1dt=k2cES1cS2−k−2cEP2cP1dcP2dt=k3cEP2−k−3cEcP2dcES1dt=k1cEcS1+k−2cEP2cP1−k−1cES1−k2cES1cS2dcEP2dt=k2cES1cS2+k−3cEcP2−k−2cEP2cP1−k3cEP2dcEdt=k−1cES1+k3cEP2−k1cEcS1−k−3cEcP2"@en ; rdfs:label "bi bi reaction Theorell-Chance mechanism ODE system"@en ; ; ; , , , , , , ; ; "system of ordinary differential equations describing a bi bi reaction with a Theorell-Chance mechanism"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674227 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674228 rdf:type owl:NamedIndividual , ; "t"@en , "cEP2"@en ; "cEP2(t=0)=cEP20"@en ; rdfs:label "initial enzyme - product 2 - complex concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674229 rdf:type owl:NamedIndividual , ; "t"@en , "cES1"@en ; "cES1(t=0)=cES10"@en ; rdfs:label "initial enzyme - substrate 1 - complex concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674230 rdf:type owl:NamedIndividual , ; "t"@en , "cP1"@en ; "cP1(t=0)=cP1,0"@en ; rdfs:label "initial product 1 concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674231 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674232 rdf:type owl:NamedIndividual , ; "t"@en , "cS1"@en ; "cS1(t=0)=cS1,0"@en ; rdfs:label "initial substrate 1 concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674233 rdf:type owl:NamedIndividual , ; "t"@en , "cS2"@en ; "cS2(t=0)=cS2,0"@en ; rdfs:label "initial substrate 2 concentration (bi bi reaction Theorell-Chance - ODE model)"@en ; ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674234 rdf:type owl:NamedIndividual , ; "t"@en , "dcEP2dt"@en , "cE"@en , "cEP2"@en , "cES1"@en , "cP1"@en , "cP2"@en , "cS2"@en , "k2"@en , "k3"@en , "k−2"@en , "k−3"@en ; "dcEP2dt=k2cES1cS2+k−3cEcP2−k−2cEP2cP1−k3cEP2"@en ; rdfs:label "enzyme - product 2 - complex concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674235 rdf:type owl:NamedIndividual , ; "t"@en , "dcES1dt"@en , "cE"@en , "cEP2"@en , "cES1"@en , "cS1"@en , "cS2"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcES1dt=k1cEcS1+k−2cEP2cP1−k−1cES1−k2cES1cS2"@en ; rdfs:label "enzyme - substrate 1 - complex concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcES1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674236 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "cE"@en , "cEP2"@en , "cES1"@en , "cP2"@en , "cS1"@en , "k1"@en , "k3"@en , "k−1"@en , "k−3"@en ; "dcEdt=k−1cES1+k3cEP2−k1cEcS1−k−3cEcP2"@en ; rdfs:label "enzyme concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674237 rdf:type owl:NamedIndividual , ; "t"@en , "dcP1dt"@en , "cEP2"@en , "cES1"@en , "cP1"@en , "cS2"@en , "k2"@en , "k−2"@en ; "dcP1dt=k2cES1cS2−k−2cEP2cP1"@en ; rdfs:label "product 1 concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; , ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674238 rdf:type owl:NamedIndividual , ; "t"@en , "dcP2dt"@en , "cE"@en , "cEP2"@en , "cP2"@en , "k3"@en , "k−3"@en ; "dcP2dt=k3cEP2−k−3cEcP2"@en ; rdfs:label "product 2 concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; , ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcP2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674239 rdf:type owl:NamedIndividual , ; "t"@en , "dcS1dt"@en , "cE"@en , "cES1"@en , "cS1"@en , "k1"@en , "k−1"@en ; "dcS1dt=k−1cES1−k1cEcS1"@en ; rdfs:label "substrate 1 concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS1dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674240 rdf:type owl:NamedIndividual , ; "t"@en , "dcS2dt"@en , "cEP2"@en , "cES1"@en , "cP1"@en , "cS2"@en , "k2"@en , "k−2"@en ; "dcS2dt=k−2cEP2cP1−k2cES1cS2"@en ; rdfs:label "substrate 2 concentration ODE (bi bi reaction Theorell-Chance)"@en ; ; ; ; "ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcS2dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674241 rdf:type owl:NamedIndividual , ; "T"@en , "n"@en , "q"@en , "ψ"@en , "Ec"@en , "Nc"@en , "kB"@en , "ϕn"@en ; "n(ψ,ϕn)=Ncexp⁡(q(ψ−ϕn)−EckBT)"@en ; rdfs:label "Boltzmann approximation for electrons"@en ; ; ; ; "Boltzmann approximation for electrons; for use in semiconductor physics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ec"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Nc"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674242 rdf:type owl:NamedIndividual , ; "T"@en , "p"@en , "q"@en , "ψ"@en , "Ev"@en , "Nv"@en , "kB"@en , "ϕp"@en ; "p(ψ,ϕp)=Nvexp⁡(q(ϕp−ψ)+EvkBT)"@en ; rdfs:label "Boltzmann approximation for holes"@en ; ; ; ; "Boltzmann approximation for holes; for use in semiconductor physics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ev"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Nv"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674243 rdf:type owl:NamedIndividual , ; "x"@en , "𝐱˙"@en , "𝐏"@en , "𝐱"@en ; "𝐱M1=𝐱T,𝐱˙M1=𝐱˙T,𝐏(𝐅M1)=𝐏(𝐅T),on ∂ΩM1−T𝐱M2=𝐱T,𝐱˙M2=𝐱˙T,𝐏(𝐅M2)=𝐏(𝐅T),on∂ΩM2−T"@en ; rdfs:label "boundary conditions of electrophysiological muscle ODE system"@en ; ; ; "kinematic and dynamic conditions at the interfaces beween each muscle and the tendon"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐱˙"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐏"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐱"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674244 rdf:type owl:NamedIndividual , ; "p"@en , "t"@en , "γ"@en , "ρ"@en , "𝐱¨"@en , "𝐱˙"@en , "𝐏"@en , "𝐱"@en ; "ρM1𝐱¨M1=∇⋅(𝐏passive(𝐅M1)+𝐏active(𝐅M1,γM1)−pM1𝐅M1−T),∇⋅ 𝐱˙M1=0 in ΩM1×[0,Tend)ρM2𝐱¨M2=∇⋅(𝐏passive(𝐅M2)+𝐏active(𝐅M2,γM2)−pM2𝐅M2−T),∇⋅ 𝐱˙M2=0 in ΩM2×[0,Tend)ρT𝐱¨T=∇⋅(𝐏passive(𝐅T)−pT𝐅T−T),∇⋅ 𝐱˙T=0 in ΩT×[0,Tend)"@en ; rdfs:label "electrophysiological muscle ODE system"@en ; "One continuum mechanics three-dimensional model for each participant. The equations originate from conservation of mass and momentum for each participant."@en ; ; ; ; "three-dimensional electrophysiological model for a muscle"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐱¨"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐱˙"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐏"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐱"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674245 rdf:type owl:NamedIndividual , ; "M"@en , "c"@en , "κ"@en , "μ"@en , "χ"@en ; "M(∇χ,c)∇∂cΦ(x,∇χ,c)⋅ν=κ(x)(μe(t,x)−∂cΦ(x,∇χ,c))"@en ; rdfs:label "poro-visco-elastic diffusion boundary condition"@en ; ; ; "boundary condition for diffusion equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "κ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674246 rdf:type owl:NamedIndividual , ; "M"@en , "c"@en , "t"@en , "Φ"@en , "χ"@en ; "c˙(t,x)=−∇⋅(M(x,∇χ(t,x),c(t,x))∇∂cΦ(x,∇χ(t,x),c(t,x)))"@en ; rdfs:label "poro-visco-elastic diffusion equation"@en ; ; ; ; "mathematical formulation for diffusion in poro-visco-elastic models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Φ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674247 rdf:type owl:NamedIndividual , ; "x"@en , "χ"@en , "χD"@en ; "χ(t,x)=χD(t,x)"@en ; rdfs:label "poro-visco-elastic (Dirichlet boundary)"@en ; ; ; ; "Dirichlet boundary condition for mechanical deformation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674248 rdf:type owl:NamedIndividual , ; "c"@en , "g"@en , "x"@en , "Φ"@en , "ζ"@en , "ν"@en , "χ"@en ; "g(t,x)=(∂∇χΦ(x,∇χ(t,x),c(t,x))+∂∇χ˙ζ(x,∇χ˙(t,x),∇χ(t,x),c(t,x)))ν−∇s⋅(∂D2χH(x,D2χ(t,x))ν)"@en ; rdfs:label "poro-visco-elastic (Neumann boundary)"@en ; ; ; ; "Neumann boundary condition for mechanical deformation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Φ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ζ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674249 rdf:type owl:NamedIndividual , ; "H"@en , "c"@en , "f"@en , "t"@en , "x"@en , "Φ"@en , "ζ"@en , "χ"@en ; "−∇⋅(∂∇χΦ(x,∇χ(t,x),c(t,x))+∂∇χ˙ζ(x,∇χ˙(t,x),∇χ(t,x),c(t,x))−∇⋅∂D2χH(x,D2χ(t,x)))=f(t,x)"@en ; rdfs:label "poro-visco-elastic quasistatic equation"@en ; ; ; "equation using linear momentum without inertia for mechanical deformation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Φ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ζ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674250 rdf:type owl:NamedIndividual , ; "t"@en , "σ"@en , "𝐱(t)"@en , "𝐲(t)"@en , "𝐳(t)"@en , "Fi(t)"@en , "Wi(t)"@en ; "dxi(t)=Fi(𝐱,𝐲,𝐳,t)dt+σdWi(t)"@en ; rdfs:label "change in opinions of individuals"@en ; "Individuals i = 1,...,N adapt their opinions in time according to this stochastic differential equation (SDE)."@en ; ; ; "opinion adaption of individuals over time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐱(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐲(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐳(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Fi(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wi(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674251 rdf:type owl:NamedIndividual , ; "t"@en , "γ"@en , "σ̂"@en , "zl(t)"@en , "Ŵl"@en , "x̂l(t)"@en ; "γdzl(t)=(x̂l(t)−zl(t))dt+σ̂dŴl(t)"@en ; rdfs:label "change in opinions of influencers"@en ; "Influencers l= 1,. . . , L slowly change their opinions in the direction of their average followership according to this Stochastic differential equation."@en ; ; ; "opinion adaption of influencers over time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "zl(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ŵl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x̂l(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674252 rdf:type owl:NamedIndividual , ; "t"@en , "γ"@en , "σ̂"@en , "zl"@en , "Ŵl"@en , "x̂l"@en ; "γdzl(t)=(x̂l(t)−zl(t))dt+σ̂dŴl(t)"@en ; rdfs:label "change in opinions of influencers in the partial mean field model"@en ; "Stochastic Differential equation describing the change in opinions of a given Influencer in the partial field opinion model."@en ; ; ; "opinion adaption of influencers over time in the partial mean field model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "zl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ŵl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x̂l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674253 rdf:type owl:NamedIndividual , ; "t"@en , "Γ"@en , "σ~"@en , "ym(t)"@en , "W~m"@en , "x~m(t)"@en ; "Γdym(t)=(x~m(t)−ym(t))dt+σ~dW~m(t)"@en ; rdfs:label "change in opinions of media"@en ; "Media agents m = 1,...,M slowly adapt their opinions according to this stochastic differential equation such that media agents are drawn in the direction of the average opinion of their followers."@en ; ; ; "opinion adaption of media agents over time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ym(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "W~m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~m(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674254 rdf:type owl:NamedIndividual , ; "t"@en , "Γ"@en , "σ~"@en , "ym"@en , "W~m"@en , "x~m"@en ; "Γdym(t)=(x~m(t)−ym(t))dt+σ~dW~m(t)"@en ; rdfs:label "change in opinions of media in the partial mean field model"@en ; "Stochastic Differential equation describing the change in opinions of a given medium in the partial field opinion model."@en ; ; ; "opinion adaption of media agents over time in the partial mean field model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ym"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "W~m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~m"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674255 rdf:type owl:NamedIndividual , ; "E"@en , "J"@en , "σ"@en ; "J=σE"@en ; rdfs:label "Ohm's law"@en ; ; "Q41591"@en ; "Note that the formulation used here is a generalization of the well-known R=U/I."@en ; ; ; ; "Ohm's law for transport of electric charge"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "J"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674256 rdf:type owl:NamedIndividual , ; "L"@en , "λ"@en ; "λ≪L"@en ; rdfs:label "classical approximation"@en ; ; ; ; "classical dynamics as an approximation to quantum mechanics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674257 rdf:type owl:NamedIndividual , ; "p"@en , "q"@en , "t"@en , "ℋ"@en ; "d𝒒dt=+∂ℋ∂𝒑d𝒑dt=−∂ℋ∂𝒒"@en ; rdfs:label "Hamilton's equations"@en ; "Q1115699"@en ; "Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena."@en ; ; ; ; ; ; ; ; "classical equations of motion for systems described by a Hamiltonian function specifying the total energy"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℋ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674258 rdf:type owl:NamedIndividual , ; "D"@en , "F"@en , "R(t)"@en , "T"@en , "q"@en , "t"@en , "kB"@en ; "ddtq=−DkBTF(q)+2DR(t)"@en ; rdfs:label "Brownian equation"@en ; ; ; , , ; ; "special case of a classical equation of motion where no average acceleration takes place"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674259 rdf:type owl:NamedIndividual , ; "F"@en , "M"@en , "R(t)"@en , "T"@en , "q"@en , "t"@en , "γ"@en , "kB"@en ; "Md2dt2q→=F(q)−γddtq+2γkBTR(t)"@en ; rdfs:label "Langevin equation"@en ; ; "Q584537"@en ; "Note that a Langevin equation can be reformulated as a Fokker–Planck equation governing a probability distribution."@en ; ; ; , , ; , ; ; "same as Newton's equation of motion, but with additional terms for friction|damping and for stochastic collisions added"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674260 rdf:type owl:NamedIndividual , ; "F"@en , "m"@en , "q"@en , "t"@en ; "d2dt2q→=F→/m"@en ; rdfs:label "Newton second law of motion for constant mass"@en ; "Q2397319"@en ; "When a body is acted upon by a force, the time rate of change of its momentum equals the force."@en ; ; ; ; ; ; ; "fundamental equation in classical mechanics that describe the motion of objects under the influence of forces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674261 rdf:type owl:NamedIndividual , ; "p"@en , "t"@en , "p0"@en ; "p(t=0)=p0"@en ; rdfs:label "initial condition for momentum"@en ; ; ; "initial condition for the momentum of a classical particle modeled as point mass"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674262 rdf:type owl:NamedIndividual , ; "q"@en , "t"@en , "q0"@en ; "q(t=0)=q0"@en ; rdfs:label "initial condition for position"@en ; ; ; "initial position of a classical particle modeled as point mass"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674263 rdf:type owl:NamedIndividual , ; "D"@en , "p"@en , "t"@en , "u"@en , "x"@en , "μ"@en ; "∂∂tp(x,t)=−∂∂x[(μ(x,t)−u)p(x,t)]+∂2∂x2[D(x,t)p(x,t)]"@en ; rdfs:label "Fokker-Planck equation"@en ; ; "Q891766"@en ; "For vanishing drift and for constant diffusion, the Fokker Planck equation yield's Fick's first law of diffusion."@en , "Note the external forcing which connects the FPE to the model order reduction and/or optimal control tasks."@en ; ; ; , ; , ; "partial differential equation describing the dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674264 rdf:type owl:NamedIndividual , ; "F"@en , "m"@en , "p"@en , "q"@en , "t"@en , "τ"@en ; "p(t+τ/2)=p(t)+τF(q(t))/2q(t+τ)=q(t)+τp(t+τ/2)/mp(t+τ)=p(t+τ/2)+τF(q(t+τ))/2"@en ; rdfs:label "leapfrog integration"@en ; ; "Q1810707"@en ; ; ; "method for numerically integrating differential equations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "τ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674265 rdf:type owl:NamedIndividual , ; "h"@en , "t"@en , "y"@en ; "yn+1=yn+hf(tn,yn)"@en ; rdfs:label "Euler forward method"@en ; "It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method."@en ; ; ; , ; ; "in mathematics and computational science, this method is a first-order numerical procedure for solving ODEs with a given initial value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674266 rdf:type owl:NamedIndividual , ; "ℏ"@en , "Δt"@en , "ψ(t)"@en , "T̂"@en , "V̂"@en , "i"@en ; "|ψ(t+Δt)⟩=exp⁡(−iΔtT̂/(2ℏ))exp⁡(−iΔtV̂/ℏ)exp⁡(−iΔtT̂/(2ℏ))|ψ(t)⟩+𝒪(Δt)2"@en ; rdfs:label "time-dependent Schrödinger equation (Strang-Marchuk)"@en ; ; ; ; , , ; , , ; "second order (Strang-Marchuk) split operator scheme for numerical integration of the time-dependent Schrödinger equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674267 rdf:type owl:NamedIndividual , ; "H"@en , "p"@en , "q"@en , "t"@en , "ρ"@en ; "dρdt=∂ρ∂t+∑i=1n(∂ρ∂qiq˙i+∂ρ∂pip˙i)"@en ; rdfs:label "Liouville equation"@en ; ; "Q20180666"@en ; "Consider a Hamiltonian dynamical system with canonical coordinates and conjugate momenta. Then the phase space distribution determines the probability that the system will be found in the infinitesimal phase space volume."@en , "Note the similarity with the quantum Liouville (von Neumann) equation where the Poisson brackets {.,.} are replaced by commutator brackets [.,.]"@en ; ; ; ; ; ; "partial differential equation for the that time rate of change of density of points in phase space"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674268 rdf:type owl:NamedIndividual , ; "F"@en , "m"@en , "q"@en , "t"@en , "τ"@en ; "q(t+τ)=2q(t)−q(t−τ)+τ2F(q(t))/M"@en ; rdfs:label "Verlet integration"@en ; ; "Q2984997"@en ; "Originally discovered already by Newton: Essentially a symmetric (and symplectic!) combination of Euler forward and backward methods."@en ; ; ; , ; ; ; , ; "sympletic, reversible time-discretization of Newton's equations of motion"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "τ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674269 rdf:type owl:NamedIndividual , ; "f"@en , "h"@en , "t"@en , "y"@en ; "yn+1=yn+hf(tn+1,yn+1)"@en ; rdfs:label "backward Euler method"@en ; ; "Q2736820"@en ; "Similar to the (standard, forward, explicit) Euler method, but differs in that it is an implicit method. The backward Euler method has error of order one in time."@en ; ; ; , ; ; "one of the most basic numerical methods in numerical analysis and scientific computing for the solution of ordinary differential equations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674270 rdf:type owl:NamedIndividual , ; "ℏ"@en , "H"@en , "Δt"@en , "ψ"@en , "i"@en ; "|ψ(t+Δt)⟩=|ψ(t−Δt)⟩−2iΔtĤ/ℏ|ψ(t)⟩+𝒪(Δt)3"@en ; rdfs:label "second order differencing method"@en ; "Q115616932"@en ; "Essentially a symmetric (and symplectic!) combination of Euler forward and backward methods."@en ; ; ; , ; , ; , ; ; "propagation scheme for the time-dependent Schrödinger equation based on a time-symmetric explicit Euler scheme"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674271 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "Ni"@en ; "maxi{∑k=1KαikΔtNk/Ni}≤1"@en ; rdfs:label "condition for positive solutions in the multi-population SI model"@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674272 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "γi"@en , "Ni"@en ; "maxi{∑k=1KαikΔtNk/Ni,γiΔt}≤1"@en ; rdfs:label "condition for positive solutions in the multi-population SIR model"@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674273 rdf:type owl:NamedIndividual , ; "Δt"@en , "ai"@en , "γi"@en ; "maxi{ai,γiΔt}≤1"@en ; rdfs:label "condition for positive solutions in the multi-population SIS model"@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ai"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γi"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674274 rdf:type owl:NamedIndividual , ; "Δt"@en , "α"@en , "γ"@en ; "max{γΔt,αΔt}≤1"@en ; rdfs:label "condition for positive solutions in the SIR model"@en ; "The time step must be less than the average time required for a successful contact and less than the average infectious period."@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674275 rdf:type owl:NamedIndividual , ; "Δt"@en , "β"@en , "γ"@en ; "(γ+β)Δt≤1"@en ; rdfs:label "condition for positive solutions in the SIR model with births and deaths"@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674276 rdf:type owl:NamedIndividual , ; "Δt"@en , "γ"@en ; "γΔt≤1"@en ; rdfs:label "condition for positive solutions in the SIS model"@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674277 rdf:type owl:NamedIndividual , ; "Δt"@en , "β"@en , "γ"@en ; "(γ+β)Δt≤1"@en ; rdfs:label "condition for positive solutions in the SIS model with births and deaths"@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674278 rdf:type owl:NamedIndividual , ; "Δt"@en , "α"@en ; "αΔt≤1"@en ; rdfs:label "condition to keep susceptibles positive"@en ; "Necessary and sufficient condition to ensure that 𝑆ₙ, is positive for all initial conditions (and Iₙ < N). Implies that the time step At must be less than the average time required for a successful contact."@en ; ; ; "positive solution constraint"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674279 rdf:type owl:NamedIndividual , ; rdfs:label "conservation law"@en ; ; "Q205805"@en ; ; ; , , , ; "scientific law regarding conservation of a physical property"@en . ### https://portal.mardi4nfdi.de/entity/Q6674280 rdf:type owl:NamedIndividual , ; "t"@en , "Pm"@en , "im(t)"@en , "sm(t)"@en ; "im(t)=Pm−sm(t)"@en ; rdfs:label "conservation of city numbers"@en ; ; ; "conservation of city numbers in every region m"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Pm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "im(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "sm(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674281 rdf:type owl:NamedIndividual , ; "N"@en , "In"@en , "Sn"@en ; "Sn+In≈N,n=1,2,..."@en ; rdfs:label "constant population size"@en ; ; ; "total population size remains constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674282 rdf:type owl:NamedIndividual , ; "G"@en , "m"@en , "n"@en ; "∀m≠n,0≤Gm,n≤2, and 0≤Gm,m≤1"@en ; rdfs:label "contact network constraint"@en ; ; ; "constraints applying to contact network"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674283 rdf:type owl:NamedIndividual , ; "S"@en , "j"@en , "n"@en , "t"@en ; "∂n∂t+∇⋅j=S"@en ; rdfs:label "continuity equation"@en ; ; "Q217219"@en ; ; ; , , ; ; ; "equation constraining a quantity to flow only via adjacent locations; can express a locality principle"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674284 rdf:type owl:NamedIndividual , ; "R"@en , "n"@en , "q"@en , "ψ"@en , "ϕn"@en , "ϕp"@en , "𝐣n"@en ; "−q∂tn(ψ,ϕn)+∇⋅𝐣n=qR(ψ,ϕn,ϕp)"@en ; rdfs:label "continuity equation for electrons"@en ; ; ; ; "continuity equation for electrons; for use in semiconductor physics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐣n"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674285 rdf:type owl:NamedIndividual , ; "R"@en , "p"@en , "q"@en , "ψ"@en , "ϕn"@en , "ϕp"@en , "𝐣p"@en ; "q∂tp(ψ,ϕp)+∇⋅𝐣p=−qR(ψ,ϕn,ϕp)"@en ; rdfs:label "continuity equation for holes"@en ; ; ; ; "continuity equation for holes; for use in semiconductor physics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐣p"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674286 rdf:type owl:NamedIndividual , ; "ωk"@en ; "jn;k,k+1−jn;k−1,k=qR(ψk,ϕn;k,ϕp;k)|ωk|"@en ; rdfs:label "continuity equation for electrons (finite volume)"@en ; "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en ; ; ; "used within the Scharfetter-Gummel finite volume disretization scheme"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ωk"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674287 rdf:type owl:NamedIndividual , ; "ωk"@en ; "jp;k,k+1−jp;k−1,k=−qR(ψk,ϕn;k,ϕp;k)|ωk|"@en ; rdfs:label "continuity equation for holes (finite volume)"@en ; "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en ; ; ; "used within the Scharfetter-Gummel finite volume disretization scheme"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ωk"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674288 rdf:type owl:NamedIndividual , ; "n"@en , "vff"@en , "vpm"@en ; "[v⋅n]pm=−[v⋅n]ffonΓ"@en ; rdfs:label "continuity of the normal mass flux"@en ; ; ; "continuity condition to be used as boundary condition within Stokes Darcy hybrid models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vpm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674289 rdf:type owl:NamedIndividual , ; "n"@en , "τ"@en , "pff"@en , "ppm"@en ; "n⋅[(pI−τ)n]ff=[p]pmonΓ"@en ; rdfs:label "continuity of the normal stresses"@en ; ; ; "continuity condition to be used as boundary condition within Stokes Darcy hybrid models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "τ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "pff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ppm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674290 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en , "t"@en , "α"@en ; "dIdt=αNSI"@en ; rdfs:label "rate of change of infectious in the SI model"@en ; ; ; ; "rate of change of infectious individuals in the continuous-time SI model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674291 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "/alpha"@en , "In"@en , "Sn"@en ; "Sn+1=Sn(1−αΔtNIn)"@en ; rdfs:label "susceptibles at time step n+1 in the discrete SI model"@en ; ; ; "equation for the susceptibles in the SI model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "/alpha"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674292 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en , "t"@en , "α"@en , "γ"@en ; "dIdt=I(αNS−γ)"@en ; rdfs:label "rate of change of infectious in the SIR model"@en ; ; ; ; "rate of change of infectious individuals in the continuous-time SIR model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674293 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en , "t"@en , "α"@en , "γ"@en ; "dIdt=I(αNS−γ)"@en ; rdfs:label "rate of change of infectious in the SIS model"@en ; ; ; "rate of change of infectious individuals in the continuous-time SIS model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674294 rdf:type owl:NamedIndividual , ; "I"@en , "R"@en , "t"@en , "γ"@en ; "dRdt=γI"@en ; rdfs:label "rate of change of removed in the SIR model"@en ; ; ; ; "rate of change of removed individuals in the continuous-time SIR model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674295 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en , "t"@en , "α"@en ; "dSdt=−αNSI"@en ; rdfs:label "rate of change of susceptibles in the SI model"@en ; ; ; ; "rate of change of susceptible individuals in the continuous-time SI model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674296 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "In"@en , "Sn"@en ; "In+1=In(1+αΔtNSn)"@en ; rdfs:label "infectious at time step n+1 in the SI model"@en ; ; ; "equation to define the number of infectious individuals in the SI Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674297 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en , "t"@en , "α"@en ; "dSdt=−αNSI"@en ; rdfs:label "rate of change of susceptibles in the SIR model"@en ; ; ; ; "rate of change of susceptible individuals in the continuous-time SIR model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674298 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en , "t"@en , "α"@en , "γ"@en ; "dSdt=−αNSI+γI"@en ; rdfs:label "rate of change of susceptibles in the SIS model"@en ; ; ; "rate of change of susceptible individuals in the continuous-time SIS model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674299 rdf:type owl:NamedIndividual , ; "T"@en , "x0"@en ; "x~0=T−1x0"@en ; rdfs:label "control system initial (reduced)"@en ; ; ; "initial value for the state vector of a control system; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674300 rdf:type owl:NamedIndividual , ; "t"@en , "y"@en , "D~"@en , "x~"@en ; "y(t)=x~†(t)D~x~(t)"@en ; rdfs:label "control system output quadratic (reduced)"@en ; ; ; "quadratic output equation for control systems; after model order reduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674301 rdf:type owl:NamedIndividual , ; "D"@en , "t"@en , "x"@en , "y"@en ; "y(t)=x†(t)Dx(t)"@en ; rdfs:label "control system output quadratic"@en ; ; ; ; "quadratic output equation for control systems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674302 rdf:type owl:NamedIndividual , ; "μ"@en , "xCij"@en , "𝒏ij∈ℝ3"@en , "kijT"@en , "𝑭ijN"@en ; "‖𝑭ijT,cons‖≤μ‖𝑭ijN‖with𝑭ijT,cons=−kijT𝝃ij=−kijT(𝒙Cji−𝒙Cij−⟨𝒙Cji−𝒙Cij,𝒏ij⟩𝒏ij)"@en ; rdfs:label "Coulomb friction condition between two particles"@en ; ; ; ; ; "describes the transition between static and dynamic friction in a simple (linear) friction model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xCij"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒏ij∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kijT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝑭ijN"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674303 rdf:type owl:NamedIndividual , ; "Re"@en ; "Re≪1"@en ; rdfs:label "creeping flow assumption"@en ; "Volker John: If the viscous transport dominates the convective transport, i.e. if the fluid flows very slowly, the non-linear convective term of the Navier–Stokes equations can be neglected. This gives a linear equation, the so-called Stokes equations."@en ; ; ; , , ; "fluid flow where advective inertial forces are small compared with viscous forces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Re"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674304 rdf:type owl:NamedIndividual , ; "K"@en , "μ"@en , "ppm"@en , "vpm"@en ; "vpm=−Kμ−1∇pvm∇⋅vpm=0"@en ; rdfs:label "Darcy's law"@en ; ; "Q392416"@en ; "mathematical model describing the flow of a fluid through a porous medium."@en ; ; ; , ; ; "describing the flow of a fluid through a porous medium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ppm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vpm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674305 rdf:type owl:NamedIndividual , ; rdfs:label "Darcy equation (Euler backward)"@en ; ; ; , ; "discretizing the Darcy equation by a first-oder backward Euler scheme in time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674306 rdf:type owl:NamedIndividual , ; rdfs:label "Darcy equation (finite volume)"@en ; ; ; ; "discretizing the Darcy equation by a finite volume scheme in space"@en . ### https://portal.mardi4nfdi.de/entity/Q6674307 rdf:type owl:NamedIndividual , ; "C(p)"@en , "f(p,q)"@en , "u(p)"@en , "v(q)"@en , "Ω"@en ; "u(p)=1C(p)∫Ωv(q)f(p,q)dq"@en ; rdfs:label "non-local means"@en ; ; "Q7048948"@en ; ; ; ; "algorithm in image processing for image denoising"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C(p)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f(p,q)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u(p)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v(q)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674308 rdf:type owl:NamedIndividual , ; "C"@en , "n"@en , "p"@en , "q"@en , "ψ"@en , "ϕn"@en , "ϕp"@en , "ϵs"@en ; "−∇⋅(ϵs∇ψ)=q(C+p(ψ,ϕp)−n(ψ,ϕn))"@en ; rdfs:label "Poisson's equation for the electric potential (semiconductors)"@en ; ; ; ; ; ; "For use in semiconductor physics, with electron and hole densities"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵs"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674309 rdf:type owl:NamedIndividual , ; "E"@en , "T"@en , "m"@en , "n"@en , "Γ"@en , "kB"@en ; "Γn→m,m>n=e−Em−EnkBTΓm→n,m>n"@en ; rdfs:label "detailed balance"@en ; ; "Q1201087"@en ; "The principle of detailed balance can be used in kinetic systems which are decomposed into elementary processes (collisions, or steps, or elementary reactions)."@en ; ; ; "at thermal equilibrium, each elementary process is in equilibrium with its reverse process"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674310 rdf:type owl:NamedIndividual , ; "F"@en , "u"@en , "α"@en ; "F=−α∇u"@en ; rdfs:label "Fick equation"@en ; ; ; , ; ; "mathematical description for transport of mass|particles by diffusion"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674311 rdf:type owl:NamedIndividual , ; rdfs:label "Dirichlet boundary condition"@en ; ; "Q1193699"@en ; ; ; , , , , , , , ; ; "boundary condition specifying the values that a solution of a differential equation needs to take along the boundaries of a domain"@en . ### https://portal.mardi4nfdi.de/entity/Q6674312 rdf:type owl:NamedIndividual , ; "k"@en , "t"@en , "Uk"@en , "Γk"@en , "ϕn"@en ; "ϕn(𝐫,t)|Γk=Uk(t)"@en ; rdfs:label "Dirichlet boundary condition for quasi-Fermi potential for electrons"@en ; ; ; ; "quasi-Fermi potential is given by applied external voltages at the Ohmic contacts, e.g. semiconductor-metal interfaces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Uk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674313 rdf:type owl:NamedIndividual , ; "k"@en , "t"@en , "Uk"@en , "Γk"@en , "ϕp"@en ; "ϕp(𝐫,t)|Γk=Uk(t)"@en ; rdfs:label "Dirichlet boundary condition for quasi-Fermi potential for holes"@en ; ; ; ; "quasi-Fermi potential is given by applied external voltages at the Ohmic contacts, e.g. semiconductor-metal interfaces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Uk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674314 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f(1+KScS)+KScIVmax,fKic∗cS"@en ; rdfs:label "Dixon equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)"@en ; ; ; ; "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674315 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcScS+KS(1+cIKic)"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)"@en ; ; ; , , , ; , ; "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674316 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f(1+KmcS)+cIVmax,f(1Kiu+KmKic∗cS)"@en ; rdfs:label "Dixon equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)"@en ; ; ; ; ; "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674317 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcSKS(1+cIKic)+(1+cIKiu)cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)"@en ; ; ; , , , ; , ; "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674318 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f(1+KmcS)+cIVmax,f(1Kiu+KmKic∗cS)"@en ; rdfs:label "Dixon equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)"@en ; ; ; ; ; "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674319 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcS(1+cIKic)KS+(1+cIKiu)cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)"@en ; ; ; , , , ; , ; "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674320 rdf:type owl:NamedIndividual , ; "KS"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f(1+KScS)+cIVmax,fKiu"@en ; rdfs:label "Dixon equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)"@en ; ; ; ; "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674321 rdf:type owl:NamedIndividual , ; "KS"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcSKS+(1+cIKiu)cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)"@en ; ; ; , , , ; , ; "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674322 rdf:type owl:NamedIndividual , ; "t"@en , "𝝂"@en , "ΓN"@en , "ϕn"@en ; "𝝂⋅∇ϕn(𝐫,t)|ΓN=0"@en ; rdfs:label "Neumann boundary condition for electron Fermi potential"@en ; ; ; , ; "Neumann boundary condition for the Fermi potential governing the electrons"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝝂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΓN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674323 rdf:type owl:NamedIndividual , ; "t"@en , "𝝂"@en , "ΓN"@en , "ϕp"@en ; "𝝂⋅∇ϕp(𝐫,t)|ΓN=0"@en ; rdfs:label "Neumann boundary condition for hole Fermi potential"@en ; ; ; , ; "Neumann boundary condition for the Fermi potential governing the holes"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝝂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΓN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674324 rdf:type owl:NamedIndividual , ; "𝖢"@en , "𝜺"@en , "𝝈"@en ; "𝝈=𝖢:𝜺"@en ; rdfs:label "Hooke's law (linear elasticity)"@en ; "An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F = kx. Also the stresses and strains of material inside a continuous elastic material are connected by a linear relationship that is mathematically similar to Hooke's spring law, and is often referred to by that name."@en ; ; ; , ; , , ; ; "force to extend or compress a spring by distance scales linearly with distance"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝖢"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝜺"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝝈"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674325 rdf:type owl:NamedIndividual , ; "σ"@en , "σ∗"@en ; "∇⋅(σ−σ∗)=0"@en ; rdfs:label "momentum balance equation"@en ; "These equations are known as the momentum balance equations because the momentum fluxes are balanced by body and surface forces."@en ; ; ; "in the theory of elasticity, the conservation of momentum can also be written in vector form"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ∗"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674326 rdf:type owl:NamedIndividual , ; "n"@en , "σ"@en , "σ∗"@en ; "(σ−σ∗)⋅n=0"@en ; rdfs:label "Neumann boundary condition (stress-free relaxation)"@en ; ; ; ; "Neumann boundary condition in theory of elasticity (stress-free relaxation)"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ∗"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674327 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,f−KS(1+cIKic)v0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674328 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,f1+cIKiu−Km(1+cIKic)1+cIKiuv0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674329 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,f1+cIKiu−Km(1+cIKic)1+cIKiuv0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674330 rdf:type owl:NamedIndividual , ; "KS"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,f1+cIKiu−KS1+cIKiuv0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674331 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "v0=Vmax,f−KSv0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product - irreversibility assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following irreversibility assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674332 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcSKS+cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product - irreversibility assumption)"@en ; ; ; , , ; , ; "equation for uni uni reaction without product following irreversibility assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674333 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "v0=Vmax,f−KSv0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product - rapid equilibrium assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following rapid equilibrium assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674334 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcSKS+cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product - rapid equilibrium assumption)"@en ; ; ; , , ; , ; "equation for uni uni reaction without product following rapid equilibrium assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674335 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "v0=Vmax,f−KSv0cS"@en ; rdfs:label "Eadie Hofstee equation (uni uni reaction without product - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674336 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcSKS+cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product - steady state assumption)"@en ; ; ; , , ; , ; "equation for uni uni reaction without product following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674342 rdf:type owl:NamedIndividual , ; "E"@en , "V"@en ; "PTN=(V,E)"@en ; rdfs:label "public transport network"@en ; "Q18325841"@en ; ; ; ; "graph given by a set of stops or stations and a set of direct connections between them"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674344 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (uni uni reaction - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674345 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "cE"@en , "cP"@en , "cS"@en , "cES"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcEdt=−k1∗cE∗cS+k−1∗cES+k2∗cES−k−2∗cE∗cP"@en ; rdfs:label "enzyme concentration ODE (uni uni reaction)"@en ; ; ; "ordinary differential equation describing the concentration over time in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674346 rdf:type owl:NamedIndividual , ; "t"@en , "dcESdt"@en , "cE"@en , "cP"@en , "cS"@en , "cES"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcESdt=k1∗cE∗cS−k−1∗cES−k2∗cES+k−2∗cE∗cP"@en ; rdfs:label "enzyme - substrate - complex concentration ODE (uni uni reaction)"@en ; ; ; "ordinary differential equation describing the concentration over time in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcESdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674347 rdf:type owl:NamedIndividual , ; "Keq"@en , "k1"@en , "k2"@en , "k4"@en , "k5"@en , "k−1"@en , "k−2"@en , "k−4"@en , "k−5"@en ; "Keq=k1k2k4k5k−1k−2k−4k−5"@en ; rdfs:label "equilibrium constant (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "equilibrium constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674348 rdf:type owl:NamedIndividual , ; "Keq"@en , "k1"@en , "k2"@en , "k3"@en , "k4"@en , "k−1"@en , "k−2"@en , "k−3"@en , "k−4"@en ; "Keq=k1k2k3k4k−1k−2k−3k−4"@en ; rdfs:label "equilibrium constant (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "equilibrium constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674349 rdf:type owl:NamedIndividual , ; "Keq"@en , "k1"@en , "k2"@en , "k3"@en , "k−1"@en , "k−2"@en , "k−3"@en ; "Keq=k1k2k3k−1k−2k−3"@en ; rdfs:label "equilibrium constant (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "equilibrium constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674350 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes equation (Euler backward)"@en ; ; ; , ; "discretizing the Stokes equation by a first-oder backward Euler scheme in time"@en . ### https://portal.mardi4nfdi.de/entity/Q6674351 rdf:type owl:NamedIndividual , ; rdfs:label "Euler method"@en ; ; "Q868454"@en ; ; ; , ; ; "first-order numerical procedure for solving ordinary differential equations with a given initial value"@en . ### https://portal.mardi4nfdi.de/entity/Q6674352 rdf:type owl:NamedIndividual , ; "G"@en , "⟨ℬ⟩"@en , "ℬ"@en ; "G=G(⟨ℬ⟩)"@en ; rdfs:label "logical rule extraction formulation"@en ; ; ; "equation that extracts logical rules by determining the Gröbner basis of an ideal"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "⟨ℬ⟩"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℬ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674353 rdf:type owl:NamedIndividual , ; "B"@en , "E"@en , "t"@en ; "∇×𝐄=−∂𝐁∂t"@en ; rdfs:label "Faraday's law of induction"@en ; ; "Q181465"@en ; ; ; ; "basic law of electromagnetism of magnetic fields inducing a potential difference"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674354 rdf:type owl:NamedIndividual , ; "F"@en , "ρ"@en ; "F∝∇ρ"@en ; rdfs:label "transport equation"@en ; "Q105560509"@en ; "There are several (constitutive) equations which describe the transport of matter, or properties of it, in an almost identical way. In every case, in words they read: Flux (density) is proportional to a gradient, where the constant of proportionality is a characteristic of the material. In general, the constant must be replaced by a 2nd rank tensor, to account for directional dependencies of the material."@en ; ; ; , , , , , ; ; "equation that describes the transport of some (extensive) quantity such as mass, energy|heat, momentum, electric charge"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674355 rdf:type owl:NamedIndividual , ; rdfs:label "finite volume method"@en ; ; "Q1401936"@en ; "Finite volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations of a solution using local data, and construct a global approximation by stitching them together."@en , "In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume."@en ; ; ; , , , , ; "finite volume method"@en ; "method for representing and evaluating partial differential equations in the form of algebraic equations"@en . ### https://portal.mardi4nfdi.de/entity/Q6674356 rdf:type owl:NamedIndividual , ; "ψ"@en , "ωk"@en , "ϵs"@en ; "−ϵs(ψk+1−ψkhk,k+1−ψk−ψk−1hk−1,k)=q(Ck+p(ψk,ϕp;k)−n(ψk,ϕn;k))|ωk|"@en ; rdfs:label "Poisson equation for the electric potential (finite volume)"@en ; "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en ; ; ; ; "used within the Scharfetter-Gummel finite volume disretization scheme"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ωk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵs"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674357 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes equation (finite volume)"@en ; ; ; ; "discretizing the Stokes equation by a finite volume scheme in space"@en . ### https://portal.mardi4nfdi.de/entity/Q6674358 rdf:type owl:NamedIndividual , ; "T"@en , "q"@en , "γ"@en ; "q=−γ∇T"@en ; rdfs:label "Fourier's law of heat conduction"@en ; "Q12016821"@en ; "Assuming that the local heat flux is equal to the product of thermal conductivity and the negative local temperature gradient."@en ; ; ; ; ; "differential form of Fourier's law of thermal conduction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674362 rdf:type owl:NamedIndividual , ; "h"@en , "r"@en ; "h≈r"@en ; rdfs:label "uniform gravitational acceleration"@en ; "This is a very good approximation for an apple falling from a tree, but not for celestial mechanics where the inverse-square law of the gravitational field must be taken into account."@en ; ; ; "assuming that the gravitational constant remains unchanged from the beginning to the end of a trajectory"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674363 rdf:type owl:NamedIndividual , ; "A"@en , "g"@en , "m"@en , "t"@en , "v"@en , "x"@en , "ρ"@en , "CD"@en ; "x˙=vv˙=−g+12mρCDAv2"@en ; rdfs:label "free fall equation (air drag)"@en ; ; ; ; ; , ; ; "modeling the fall of point-like objects by the laws of classical mechanics, including aerodynamic drag and assuming a uniform gravitational field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "CD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674364 rdf:type owl:NamedIndividual , ; "Q"@en , "t"@en , "x"@en , "tff"@en , "x0"@en ; "x(t)=x0Q(1−ttff;32,12)"@en ; rdfs:label "free fall solution (non-uniform gravitation)"@en ; "Moreover, assuming the falling object to be a point mass."@en ; ; ; ; , ; "modeling the fall of objects by the laws of classical mechanics, neglecting aerodynamic drag but allowing for a non-uniform gravitational field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "tff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674365 rdf:type owl:NamedIndividual , ; "g"@en , "t"@en , "v"@en , "x"@en ; "x˙=vv˙=−g"@en ; rdfs:label "free fall equation (vacuum)"@en ; "Moreover, assuming the falling object to be a point mass."@en ; ; ; , ; , ; ; "modeling the fall of point-like objects by the laws of classical mechanics, neglecting aerodynamic drag and assuming a uniform gravitational field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674366 rdf:type owl:NamedIndividual , ; "ρ"@en ; "ρ→0"@en ; rdfs:label "vanishing air density"@en ; ; ; "in the limit of vanishing air density, physical bodies will move like in vacuum, e.g. free fall models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674367 rdf:type owl:NamedIndividual , ; "CD"@en ; "CD→0"@en ; rdfs:label "vanishing drag coefficient"@en ; ; ; "in the limit of vanishing drag coefficient, physical bodies will move like in vacuum, e.g. free fall models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "CD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674368 rdf:type owl:NamedIndividual , ; "t"@en , "v"@en , "x"@en , "v0"@en , "x0"@en ; "x(t=0)=x0v(t=0)=v0"@en ; rdfs:label "free fall initial condition"@en ; ; ; ; "initial height and velocity of an object before it falls through a fluid or a gas"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674369 rdf:type owl:NamedIndividual , ; "t"@en , "v"@en , "v0"@en ; "v(t=0)=v0"@en ; rdfs:label "initial condition for velocity"@en ; ; ; ; "initial condition for the velocity of a classical particle modeled as point mass"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674370 rdf:type owl:NamedIndividual , ; "a"@en , "b"@en , "c"@en , "x"@en , "γ"@en , "μ"@en ; "μ(x)=aexp⁡(bx)1+aγb(exp⁡(bx)−1)+c"@en ; rdfs:label "Gamma-Gompertz–Makeham law"@en ; ; ; ; , ; "mathematical expression for the mortality based on a Gamma-Gompertz-Makeham law"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674371 rdf:type owl:NamedIndividual , ; rdfs:label "Gompertz–Makeham law of mortality"@en ; ; "Q2734378"@en ; "Note that the age-dependent component increases exponentially with age."@en ; ; ; ; , ; "mathematical equation describing the human death rate as a sum of an age-dependent component, and an age-independent component"@en . ### https://portal.mardi4nfdi.de/entity/Q6674372 rdf:type owl:NamedIndividual , ; "E"@en , "ρ"@en , "ϵ0"@en ; "∇⋅E=ρϵ0"@en ; rdfs:label "Gauss's law"@en ; ; "Q173356"@en ; ; ; , ; ; "foundational law of electromagnetism stating that electric charges are the \"sources\" (divergence) of electric fields"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674373 rdf:type owl:NamedIndividual , ; "B"@en ; "∇⋅B=0"@en ; rdfs:label "Gauss's law for magnetism"@en ; ; "Q1195250"@en ; "Equivalently, magnetic monopoles do not exist."@en ; ; ; ; "foundational law of electromagnetism stating that the magnetic field B has divergence equal to zero"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674374 rdf:type owl:NamedIndividual , ; rdfs:label "Gompertz distribution"@en ; ; "Q1011784"@en ; "Often applied to describe the distribution of adult lifespans by demographers."@en ; ; ; ; ; "in probability and statistics, the Gompertz distribution is a continuous probability distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6674376 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "N"@en ; "AX+XA~∗+∑kNkXN~k∗+BB~∗=0"@en ; rdfs:label "Sylvester generalized controllability"@en ; "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians."@en ; ; ; , ; ; "generalized Sylvester equation for the controllability of a bi-linear control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674377 rdf:type owl:NamedIndividual , ; "A"@en , "C"@en , "N"@en ; "A~Y+YA∗+∑kN~kYNk∗−CC~∗=0"@en ; rdfs:label "Sylvester generalized observability"@en ; "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians. However, note the sign change in the CC term."@en ; ; ; ; ; "generalized Sylvester equation for the observability of a bi-linear control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674378 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "X"@en , "A~"@en , "B~"@en ; "AX+XA~∗+BB~∗=0"@en ; rdfs:label "Sylvester equation controllability"@en ; "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the Lyapunov equations for the calculations of Gramians."@en ; ; ; ; ; "Sylvester equation for the controllability of a linear control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674380 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "cSv0=cSVmax,f+KS(1+cIKic)Vmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674381 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "cSv0=cS(1+cIKiu)Vmax,f+Km(1+cIKic)Vmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)"@en ; ; ; ; , ; "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674382 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "cSv0=cS(1+cIKiu)Vmax,f+Km(1+cIKic)Vmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674383 rdf:type owl:NamedIndividual , ; "KS"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "cSv0=cS(1+cIKiu)Vmax,f+KSVmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674384 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "cSv0=1Vmax,fcS+KSVmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product - irreversibility assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following irreversibility assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674385 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "cSv0=1Vmax,fcS+KSVmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product - rapid equilibrium assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following rapid equilibrium assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674386 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "cSv0=1Vmax,fcS+KSVmax,f"@en ; rdfs:label "Hanes Woolf equation (uni uni reaction without product - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674387 rdf:type owl:NamedIndividual , ; "m"@en , "t"@en , "x"@en , "FACE"@en , "FPME"@en , "FPTE"@en ; "m1x¨1=FPTE(t)−FACE1(t)−FPME1(t)m2x¨2=−FPTE(t)+FACE2(t)−FPME2(t)"@en ; rdfs:label "Hill-type two-muscle-one-tendon ODE system"@en ; "System of Ordinary Differential Equations describing passive and active muscle forces during movement on a macroscopic scale, derived by balancing the forces on the muscle ends."@en ; ; ; , ; ; ; "system of ordinary differential equations describing passive and active muscle forces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FACE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FPME"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FPTE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674388 rdf:type owl:NamedIndividual , ; "D"@en , "e"@en , "i"@en , "r"@en , "s"@en , "ν"@en ; "νTD∇s=νTD∇e=νTD∇i=νTD∇r=0"@en ; rdfs:label "Homogeneous Neumann Boundary Conditions"@en ; ; ; ; "homogeneous Neumann boundary conditions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674389 rdf:type owl:NamedIndividual , ; "F"@en , "k"@en , "Δl"@en ; "F=kΔl"@en ; rdfs:label "Hooke's law (spring)"@en ; "An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, F = kx, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke."@en ; ; ; , ; ; "force to extend or compress a spring by distance scales linearly with distance"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δl"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674390 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "Ini"@en , "Sni"@en , "Ni"@en ; "In+1i=Ini+Sni∑k=1KαikΔtNiInk"@en ; rdfs:label "infectious at time step n+1 in the multi-population SI model"@en ; ; ; "equation to define the number of infectious individuals in the multi-population SI Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sni"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674391 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "γ"@en , "αik"@en , "Ini"@en , "Sni"@en ; "In+1i=Ini(1−γiΔt)+Sni∑k=1KαikΔtNiInk"@en ; rdfs:label "infectious at time step n+1 in the multi-population SIR model"@en ; ; ; "equation to define the number of infectious individuals in the multi-population SIR Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674392 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "γi"@en , "Ini"@en , "Sni"@en , "Ni"@en ; "Sn+1i=Sni(1−∑k=1KαikΔtNiInk)+γiΔtIni"@en ; rdfs:label "infectious at time step n+1 in the multi-population SIS model"@en ; ; ; "equation to define the number of infectious individuals in the multi-population SIS Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sni"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674393 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "γ"@en , "In"@en , "Sn"@en ; "In+1=In(1−γΔt+αΔtNSn)"@en ; rdfs:label "infectious at time step n+1 in the SIR model"@en ; ; ; "equation to define the number of infectious individuals in the SIR Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674394 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "β"@en , "γ"@en , "In"@en , "Sn"@en ; "In+1=In(1−γΔt−βΔt+αΔtNSn)"@en ; rdfs:label "infectious at time step n+1 in the SIR model with births and deaths"@en ; ; ; "equation to define the number of infectious individuals in the SIR Model with births and deaths"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674395 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "β"@en , "γ"@en , "In"@en , "Sn"@en ; "Sn+1=Sn(1−αΔtNIn)+γΔtIn+βΔt(N−Sn)"@en ; rdfs:label "infectious at time step n+1 in the SIS model with births and deaths"@en ; ; ; "equation to define the number of infectious individuals in the SIS Model with births and deaths"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674396 rdf:type owl:NamedIndividual , ; "KiP1"@en , "k5"@en , "k−5"@en ; "KiP1=k5k−5"@en ; rdfs:label "inhibition constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674397 rdf:type owl:NamedIndividual , ; "KiP1"@en , "k2"@en , "k−2"@en ; "KiP1=k2k−2"@en ; rdfs:label "inhibition constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674398 rdf:type owl:NamedIndividual , ; "KiP1"@en , "k3"@en , "k−2"@en ; "KiP1=k3k−2"@en ; rdfs:label "inhibition constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674399 rdf:type owl:NamedIndividual , ; "KiP2"@en , "k4"@en , "k5"@en , "k−4"@en ; "KiP2=k4+k5k−4"@en ; rdfs:label "inhibition constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674400 rdf:type owl:NamedIndividual , ; "KiP2"@en , "k4"@en , "k−4"@en ; "KiP2=k4k−4"@en ; rdfs:label "inhibition constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674401 rdf:type owl:NamedIndividual , ; "KiP2"@en , "k3"@en , "k−3"@en ; "KiP2=k3k−3"@en ; rdfs:label "inhibition constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674402 rdf:type owl:NamedIndividual , ; "KiS1"@en , "k1"@en , "k−1"@en ; "KiS1=k−1k1"@en ; rdfs:label "inhibition constant substrate 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674403 rdf:type owl:NamedIndividual , ; "KiS1"@en , "k1"@en , "k−1"@en ; "KiS1=k−1k1"@en ; rdfs:label "inhibition constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674404 rdf:type owl:NamedIndividual , ; "KiS1"@en , "k1"@en , "k−1"@en ; "KiS1=k−1k1"@en ; rdfs:label "inhibition constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674405 rdf:type owl:NamedIndividual , ; "KiS2"@en , "k2"@en , "k−1"@en , "k−2"@en ; "KiS2=k−1+k−2k2"@en ; rdfs:label "inhibition constant substrate 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674406 rdf:type owl:NamedIndividual , ; "KiS2"@en , "k3"@en , "k−3"@en ; "KiS2=k−3k3"@en ; rdfs:label "inhibition constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674407 rdf:type owl:NamedIndividual , ; "KiS2"@en , "k2"@en , "k−1"@en ; "KiS2=k−1k2"@en ; rdfs:label "inhibition constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; "inhibition constant"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674408 rdf:type owl:NamedIndividual , ; "t"@en , "ρ"@en , "ρ0"@en ; "ρ(t=0)=ρ0"@en ; rdfs:label "initial condition for classical density"@en ; ; ; "initial condition for the phase-space density distribution of a classical mechanical system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674409 rdf:type owl:NamedIndividual , ; "t"@en , "ρ"@en , "ρ0"@en ; "ρ(t=0)=ρ0"@en ; rdfs:label "initial condition for quantum density"@en ; ; ; , ; "initial condition for the density matrix of a quantum-mechanical system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674410 rdf:type owl:NamedIndividual , ; "I"@en , "N"@en , "S"@en ; "S(0)+I(0)=N"@en ; rdfs:label "initial condition for the continuous SI model and SIS model"@en ; ; ; ; "initial number of susceptible and infectious individuals is equal to the total population"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674411 rdf:type owl:NamedIndividual , ; "N"@en , "I0"@en , "S0"@en ; "S0+I0=N"@en ; rdfs:label "initial condition for the discrete SI model"@en ; ; ; "initial number of susceptible and infectious individuals is equal to the total population"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674412 rdf:type owl:NamedIndividual , ; "N"@en , "I0"@en , "R0"@en , "S0"@en ; "S(0)+I(0)+R(0)=N"@en ; rdfs:label "initial condition for the continuous SIR model"@en ; ; ; ; "initial number of susceptible, infectious and removed individuals is equal to the total population"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674413 rdf:type owl:NamedIndividual , ; "N"@en , "I0"@en , "R0"@en , "S0"@en ; "S0+I0+R0=N"@en ; rdfs:label "initial condition for the discrete SIR model with and without births and deaths"@en ; ; ; "initial number of susceptible, infectious and removed individuals is equal to the total population"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674414 rdf:type owl:NamedIndividual , ; "I0i"@en , "S0i"@en , "Ni"@en ; "S0i+I0i=Ni"@en ; rdfs:label "initial condition for the multi-population SI model"@en ; ; ; "initial number of susceptible and infectious individuals is equal to the total population of each subdomain"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I0i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S0i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674415 rdf:type owl:NamedIndividual , ; "N"@en , "In"@en , "Rn"@en , "Sn"@en ; "S0i+I0i+R0i=Ni"@en ; rdfs:label "initial condition for the multi-population SIR model"@en ; ; ; "initial number of susceptible, infectious and removed individuals is equal to the total population of each subdomain"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Rn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674416 rdf:type owl:NamedIndividual , ; "I0i"@en , "S0i"@en , "Ni"@en ; "S0i+I0i=Ni"@en ; rdfs:label "initial condition for the multi-population SIS model"@en ; ; ; "initial number of susceptible and infectious individuals is equal to the total population of each subdomain"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I0i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S0i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674417 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (bi bi reaction ordered - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674418 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (bi bi reaction ping pong - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674419 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (uni uni reaction - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674420 rdf:type owl:NamedIndividual , ; "t"@en , "cE"@en ; "cE(t=0)=cE0"@en ; rdfs:label "initial enzyme concentration (bi bi reaction Theorell-Chance - Michaelis Menten model)"@en ; ; ; , , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674421 rdf:type owl:NamedIndividual , ; "t"@en , "cES"@en ; "cES(t=0)=cES0"@en ; rdfs:label "initial enzyme - substrate - complex concentration (uni uni reaction - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674422 rdf:type owl:NamedIndividual , ; "t"@en , "cI"@en ; "cI(t=0)=cI0"@en ; rdfs:label "initial inhibitor concentration (uni uni reaction)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674423 rdf:type owl:NamedIndividual , ; "t"@en , "cP"@en ; "cP(t=0)=cP0"@en ; rdfs:label "initial product concentration (uni uni reaction - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674424 rdf:type owl:NamedIndividual , ; "t"@en , "cP2"@en ; "cP2(t=0)=cP2,0"@en ; rdfs:label "initial product 2 concentration (bi bi reaction ping pong - Michaelis Menten model)"@en ; ; ; , ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674425 rdf:type owl:NamedIndividual , ; "t"@en , "cP"@en ; "cP(t=0)=cP0"@en ; rdfs:label "initial product concentration (uni uni reaction with product)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674426 rdf:type owl:NamedIndividual , ; "t"@en , "cP"@en ; "cP(t=0)=0"@en ; rdfs:label "initial product concentration (uni uni reaction without product)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674427 rdf:type owl:NamedIndividual , ; "t"@en , "ψ"@en , "ψ0"@en ; "ψ(t=0)=ψ0"@en ; rdfs:label "initial condition for quantum state"@en ; ; ; "initial condition for the state vector of a quantum-mechanical system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674428 rdf:type owl:NamedIndividual , ; "t"@en , "cS"@en ; "cS(t=0)=cS0"@en ; rdfs:label "initial substrate concentration (uni uni reaction - ODE model)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674429 rdf:type owl:NamedIndividual , ; "t"@en , "cS"@en ; "cS(t=0)=cS0"@en ; rdfs:label "initial substrate concentration (uni uni reaction)"@en ; ; ; "initial concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674430 rdf:type owl:NamedIndividual , ; "e(x,0)"@en , "n(x)"@en , "Σℰ"@en , "ℐ̂(l)"@en ; "∫Ω(l)e(x,0)n(x)dx=Σℰℐ̂(l)"@en ; rdfs:label "integral of the population density fraction of exposed (initial condition)"@en ; ; ; "integral of the population density fraction of exposed initial condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e(x,0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Σℰ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℐ̂(l)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674431 rdf:type owl:NamedIndividual , ; "i(x,0)"@en , "n(x)"@en , "ℐ̂(l)"@en ; "∫Ω(l)i(x,0)n(x)dx=ℐ̂(l)"@en ; rdfs:label "integral of the population density fraction of infectious (initial condition)"@en ; ; ; "integral of the population density fraction of infectious initial condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i(x,0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℐ̂(l)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674432 rdf:type owl:NamedIndividual , ; "n(x)"@en , "s(x,0)"@en , "Σℰ"@en , "𝒩̂l"@en , "ℐ̂(l)"@en , "ℛ̂(l)"@en ; "∫Ω(l)s(x,0)n(x)dx=𝒩̂l−(1+Σℰ)ℐ̂(l)−ℛ̂(l)"@en ; rdfs:label "integral of the population density fraction of susceptibles (initial condition)"@en ; ; ; "integral of the population density fraction of susceptibles initial condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s(x,0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Σℰ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒩̂l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℐ̂(l)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℛ̂(l)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674433 rdf:type owl:NamedIndividual , ; "n(x)"@en , "𝒩̂l"@en ; "∫Ω(l)n(x)dx=𝒩̂l"@en ; rdfs:label "integral of the total population density (initial condition)"@en ; ; ; "integral of the total population density initial condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒩̂l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674434 rdf:type owl:NamedIndividual , ; "B(t)"@en , "C(t)"@en , "a"@en , "b"@en , "c"@en , "t"@en , "Fi(t)"@en , "wij"@en ; "Fi(𝐱,𝐲,𝐳,t)=a∑j′wij′(t)∑j=1Nwij(t)(xj(t)−xi(t))+b∑m=1MBim(t)(ym(t)−xi(t))+c∑l=1LCil(t)(zl(t)−xi(t))"@en ; rdfs:label "interaction force on an individual"@en ; "The interaction force on individual i is given by a weighted sum of attractive forces from all other connected individuals j, the respective media and the respective influencer scaled by the parameters a,b,c > 0 respectively."@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Fi(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "wij"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674435 rdf:type owl:NamedIndividual , ; "A(t)"@en , "t"@en , "x(t)"@en , "ϕ"@en , "wij(t)"@en ; "wij(t)=Aij(t)ϕ(||xj(t)−xi(t)||)"@en ; rdfs:label "interaction weight between individuals"@en ; ; ; "interaction weights between pairs of individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "wij(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674436 rdf:type owl:NamedIndividual , ; "cP"@en , "cEX"@en ; "cEXcP≫1"@en ; rdfs:label "irreversibility assumption"@en ; ; ; "complexed enzyme concentration much higher than the product concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cEX"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674437 rdf:type owl:NamedIndividual , ; "π"@en , "σ"@en , "x0(l)"@en , "G(l)(x)"@en ; "G(l)(x)≡12πσ2exp(−||x−x0(l)||22σ2)"@en ; rdfs:label "isotropic Gaussian function formulation"@en ; ; ; ; "isotropic Gaussian function located at the center of the respective province for representing density and density fractions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "π"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0(l)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G(l)(x)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674438 rdf:type owl:NamedIndividual , ; "t"@en , "x"@en , "σ"@en , "ℱ"@en , "ym"@en , "zl"@en , "∂tρm,l(x,t)"@en , "Λm→l"@en ; "∂tρm,l(x,t)=12σ2Δρm,l(x,t)−∇⋅(ρm,l(x,t)ℱ(x,ym,zl,ρ))+∑l′≠l(−Λm→l′(x,t)ρm,l(x,t)+Λm→l(x,t)ρm,l′(x,t))"@en ; rdfs:label "limiting distribution of individuals formulation"@en ; ; ; ; "equation representing the limiting distribution of individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℱ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ym"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "zl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "∂tρm,l(x,t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λm→l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674439 rdf:type owl:NamedIndividual , ; "N"@en ; "N→inf"@en ; rdfs:label "number of individuals tends to infinity assumption"@en ; ; ; "assumption for the individual number"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674440 rdf:type owl:NamedIndividual , ; "V2"@en , "cE0"@en , "k−1"@en , "k−2"@en ; "V2≡k−1k−2k−1+k−2cE0"@en ; rdfs:label "limiting reaction rate backward (bi bi reaction ordered - single central complex)"@en ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674441 rdf:type owl:NamedIndividual , ; "V2"@en , "cE0"@en , "k−1"@en , "k−3"@en ; "V2=k−1k−3k−1+k−3cE0"@en ; rdfs:label "limiting reaction rate backward (bi bi reaction ping pong)"@en ; ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674442 rdf:type owl:NamedIndividual , ; "V2"@en , "cE0"@en , "k−1"@en ; "V2=k−1cE0"@en ; rdfs:label "limiting reaction rate backward (bi bi reaction Theorell-Chance)"@en ; ; ; ; , ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674443 rdf:type owl:NamedIndividual , ; "V1"@en , "cE0"@en , "k2"@en , "k4"@en ; "V1=k2k4k2+k4cE0"@en ; rdfs:label "limiting reaction rate forward (bi bi reaction ping pong)"@en ; ; ; ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674444 rdf:type owl:NamedIndividual , ; "V1"@en , "cE0"@en , "k3"@en ; "V1=k3cE0"@en ; rdfs:label "limiting reaction rate forward (bi bi reaction Theorell-Chance)"@en ; ; ; ; , ; "limiting reaction rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674445 rdf:type owl:NamedIndividual , ; "ℒ"@en , "fl"@en ; "(ℒ,fl)"@en ; rdfs:label "line concept"@en ; "A line concept is a set of lines together with their frequencies. The frequency of a line says how often service is offered along that line within a given time period (e.g., an hour, a day)."@en ; ; ; ; "line concepts assign frequencies to lines of a line pool"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℒ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "fl"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674453 rdf:type owl:NamedIndividual , ; "e(x,0)"@en , "we(l~)"@en , "G(l~)(x)"@en ; "e(x,0)=∑l~=1L~we(l~)G(l~)(x)"@en ; rdfs:label "fraction of population density of exposed formulation"@en ; ; ; "equation describing the fraction of population density of exposed individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e(x,0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "we(l~)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G(l~)(x)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674454 rdf:type owl:NamedIndividual , ; "i(x,0)"@en , "wi(l~)"@en , "G(l~)(x)"@en ; "i(x,0)=∑l~=1L~wi(l~)G(l~)(x)"@en ; rdfs:label "fraction of population density of infectious formulation"@en ; ; ; "equation describing the fraction of population density of infectious individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i(x,0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "wi(l~)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G(l~)(x)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674455 rdf:type owl:NamedIndividual , ; "s(x,0)"@en , "ws(l~)"@en , "G(l~)(x)"@en ; "s(x,0)=∑l~=1L~ws(l~)G(l~)(x)"@en ; rdfs:label "fraction of population density of susceptibles formulation"@en ; ; ; "equation describing the fraction of population density of susceptible individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s(x,0)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ws(l~)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G(l~)(x)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674458 rdf:type owl:NamedIndividual , ; "N"@en , "t"@en , "x"@en , "δ"@en , "Bim"@en , "Cim"@en , "xi"@en , "ρm,l(N)"@en ; "ρm,l(N)(x,t)=1N∑i:Bim=1Cil(t)=1δ(x−xi(t))"@en ; rdfs:label "empirical distribution of individuals formulation"@en ; "Empirical distribution of individuals that follow a medium 𝑚 and influencer 𝑙 at time 𝑡 by the sum of Dirac delta distributions δ placed at the individuals’ opinions. This distribution describes the stochastic opinion instances at a given time and integrates to ∫ᴰ ρₘ,ₗ⁽ᴺ⁾(𝑥, 𝑡) 𝑑𝑥 ≔ 𝑛ₘ,ₗ⁽ᴺ⁾(𝑡), the proportion of individuals that follow medium 𝑚 and influencer 𝑙."@en ; ; ; ; "empirical distribution of individuals that follow a medium and influencer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "δ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Bim"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cim"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρm,l(N)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674459 rdf:type owl:NamedIndividual , ; "costs_edges"@en , "costs_fixed"@en , "costs_length"@en , "costs_vehicles"@en , "costl"@en , "durationl"@en , "lengthe"@en , "period_length"@en , "turn_over_time"@en , "x"@en ; "costl=costs_fixed+∑e∈l(costs_length⋅lengthe+costs_edges)+costs_vehicles⋅|x⋅durationl+turn_over_timeperiod_length|"@en ; rdfs:label "line costs computation"@en ; ; ; "sum of all costs of a single line"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costs_edges"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costs_fixed"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costs_length"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costs_vehicles"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "durationl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "lengthe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "period_length"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "turn_over_time"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674464 rdf:type owl:NamedIndividual , ; "A"@en , "C"@en , "Y"@en , "A~"@en , "C~"@en ; "A~Y+YA∗−CC~∗=0"@en ; rdfs:label "Sylvester equation observability"@en ; "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the Lyapunov equations for the calculations of Gramians. However, note the sign change in the CC term."@en ; ; ; ; ; "Sylvester equation for the observability of a linear control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674465 rdf:type owl:NamedIndividual , ; "cost(ℒ,f)"@en , "costl"@en , "(ℒ,f)"@en , "fl"@en ; "cost(ℒ,f)=∑l∈ℒfl⋅costl"@en ; rdfs:label "line concept costs"@en ; "The costs for a line concept summarizing the costs of single lines multiplied by their frequencies."@en ; ; ; ; "costs of a line concept"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cost(ℒ,f)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "(ℒ,f)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "fl"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674466 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f+KSVmax,f1cS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product - irreversibility assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following irreversibility assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674467 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f+KSVmax,f1cS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product - rapid equilibrium assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following rapid equilibrium assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674468 rdf:type owl:NamedIndividual , ; "KS"@en , "Vmax,f"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f+KSVmax,f1cS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674469 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1Vmax,f+KS(1+cIKic)Vmax,fcS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product and competitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without Product and competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674470 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1+cIKiuVmax,f+Km(1+cIKic)Vmax,fcS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product and mixed complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and mixed complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674471 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1+cIKiuVmax,f+Km(1+cIKic)Vmax,fcS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product and non-competitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674472 rdf:type owl:NamedIndividual , ; "KS"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "1v0=1+cIKiuVmax,f+KSVmax,fcS"@en ; rdfs:label "Lineweaver Burk equation (uni uni reaction without product and uncompetitive complete inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674473 rdf:type owl:NamedIndividual , ; "B"@en , "J"@en , "Ĥ"@en ; "Ĥ≡BĴ2"@en ; rdfs:label "quantum Hamiltonian (linear rotor)"@en ; ; ; , , ; ; "quantum-mechanical represention of a molecule as a linear rotor"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "J"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674474 rdf:type owl:NamedIndividual , ; "θ"@en , "ψ"@en ; "A=⟨ψ|cos2θ|ψ⟩"@en ; rdfs:label "molecular alignment"@en ; "Typically achieved by the interaction of induced dipole moments with external laser fields."@en ; ; ; "expectation value indicating in how far molecular axes are parallel to space fxed axes"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674475 rdf:type owl:NamedIndividual , ; "θ"@en , "ψ"@en ; "O=⟨ψ|cos⁡θ|ψ⟩"@en ; rdfs:label "molecular orientation"@en ; "Typically achieved by the interaction of permanent dipole moments with external electrostatic fields."@en ; ; ; "expectation value indicating in how far molecular axes point in the same direction as space fxed axes"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674476 rdf:type owl:NamedIndividual , ; "H"@en , "α"@en , "ℰ"@en , "H0"@en ; "H≡H0−12αℰ2"@en ; rdfs:label "quantum Hamiltonian (electric polarizability)"@en ; "Semiclassical second order approximation."@en ; ; ; ; "quantum-mechanical Hamiltonian for a system interacting (non-resonantly) through its induced dipole moments with external electric fields"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℰ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674477 rdf:type owl:NamedIndividual , ; "H"@en , "μ"@en , "ℰ"@en , "H0"@en ; "H≡H0−μ⋅ℰ"@en ; rdfs:label "quantum Hamiltonian (electric dipole)"@en ; "Semiclassical first order approximation."@en ; ; ; ; "quantum-mechanical Hamiltonian for a system interacting (resonantly) through its permanent dipole moments with external electric fields"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℰ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674478 rdf:type owl:NamedIndividual , ; "B"@en , "D"@en , "H"@en , "J"@en ; "Ĥ≡BĴ2+DĴ4"@en ; rdfs:label "quantum Hamiltonian (non-rigid rotor)"@en ; ; ; ; , , ; ; "quantum-mechanical represention of a molecule as a non-rigid rotor"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "J"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674479 rdf:type owl:NamedIndividual , ; "B"@en , "E"@en , "F"@en , "q"@en , "v"@en ; "𝑭=q(𝑬+𝒗×𝑩)"@en ; rdfs:label "Lorentz force"@en ; ; "Q172137"@en ; ; ; ; ; "force exerted on a moving electric (point) charge in electromagnetic field (non-relativistic approach)"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674480 rdf:type owl:NamedIndividual , ; "pcl"@en , "prel"@en ; "prel≈pcl"@en ; rdfs:label "nonrelativistic approximation"@en ; ; ; ; "Newtonian dynamics as an approximation to special relativity"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "pcl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "prel"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674481 rdf:type owl:NamedIndividual , ; "B"@en , "E"@en , "c"@en , "m"@en , "q"@en , "t"@en , "v"@en ; "ddtm𝐯1−(𝐯c)2=q(𝐄+𝐯×𝐁)"@en ; rdfs:label "Lorentz force equation (relativistic)"@en ; ; ; ; , ; ; "force exerted on a moving electric (point) charge in electromagnetic field (relativistic approach)"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674482 rdf:type owl:NamedIndividual , ; "G"@en , "σ"@en , "ℓ"@en ; "minσ=(G,α)ℓ(σ)"@en ; rdfs:label "loss function minimization"@en ; ; ; "minimization of loss function over regions and data points"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674483 rdf:type owl:NamedIndividual , ; "D"@en , "E"@en , "L"@en , "x"@en , "μ"@en ; "log⁡L=∑x[D(x)log⁡μ(x)−E(x)μ(x)]"@en ; rdfs:label "Poisson log-likelihood"@en ; ; ; ; "log-likelihood function of a Poisson distribution"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674484 rdf:type owl:NamedIndividual , ; "KP1"@en , "k−1"@en , "k−2"@en , "k−5"@en ; "KP1=k−1k−2k−5(k−1+k−2)"@en ; rdfs:label "Michaelis constant product 1 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674485 rdf:type owl:NamedIndividual , ; "KP1"@en , "k2"@en , "k−1"@en , "k−2"@en , "k−3"@en ; "KP1=k−3(k−1+k2)k−2(k−1+k−3)"@en ; rdfs:label "Michaelis constant product 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674486 rdf:type owl:NamedIndividual , ; "KP1"@en , "k−1"@en , "k−2"@en ; "KP1=k−1k−2"@en ; rdfs:label "Michaelis constant product 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674487 rdf:type owl:NamedIndividual , ; "KP2"@en , "k4"@en , "k−1"@en , "k−2"@en , "k−4"@en ; "KP2=k−1(k−2+k4)k−4(k−1+k−2)"@en ; rdfs:label "Michaelis constant product 2 (bi bi reaction ordered - single central complex - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674488 rdf:type owl:NamedIndividual , ; "KP2"@en , "k4"@en , "k−1"@en , "k−3"@en , "k−4"@en ; "KP2=k−1(k−3+k4)k−4(k−1+k−3)"@en ; rdfs:label "Michaelis constant product 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674489 rdf:type owl:NamedIndividual , ; "KP2"@en , "k−1"@en , "k−3"@en ; "KP2=k−1k−3"@en ; rdfs:label "Michaelis constant product 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674490 rdf:type owl:NamedIndividual , ; "KS1"@en , "k1"@en , "k2"@en , "k4"@en , "k−1"@en ; "KS1=k4(k−1+k2)k1(k2+k4)"@en ; rdfs:label "Michaelis constant substrate 1 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674491 rdf:type owl:NamedIndividual , ; "KS1"@en , "k1"@en , "k3"@en ; "KS1=k3k1"@en ; rdfs:label "Michaelis constant substrate 1 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674492 rdf:type owl:NamedIndividual , ; "KS2"@en , "k2"@en , "k3"@en , "k4"@en , "k−3"@en ; "KS2=k2(k−3+k4)k3(k2+k4)"@en ; rdfs:label "Michaelis constant substrate 2 (bi bi reaction ping pong - Michaelis Menten model - steady state assumption)"@en ; ; ; , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674493 rdf:type owl:NamedIndividual , ; "KS2"@en , "k2"@en , "k3"@en ; "KS2=k3k2"@en ; rdfs:label "Michaelis constant substrate 2 (bi bi reaction Theorell-Chance - Michaelis Menten model - steady state assumption)"@en ; ; ; , , ; "constant representing the concentration at which the reaction rate is half of its maximum value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674494 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=Vmax,fcSKS(1+cIKic)(1+cIKiu)+CS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and competitive partial inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and competitive partial inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674495 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,I,f"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=(Vmax,f+Vmax,I,fcIKiu)cSKS(1+cIKic)+(1+cIKiu)cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and mixed partial inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and mixed partial inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,I,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674496 rdf:type owl:NamedIndividual , ; "KS"@en , "Kic"@en , "Kiu"@en , "Vmax,I,f"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=(Vmax,f+Vmax,I,fcIKiu)cSKS(1+cIKic)+(1+cIKiu)cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and non-competitive partial inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and non-competitive partial inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,I,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674497 rdf:type owl:NamedIndividual , ; "KS"@en , "Kiu"@en , "Vmax,I,f"@en , "Vmax,f"@en , "cI"@en , "cS"@en , "v0"@en ; "v0=(Vmax,f+Vmax,I,f∗cIKiu)cSKS+(1+cIKiu)cS"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction without product and uncompetitive partial inhibition - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction without product and uncompetitive partial inhibition following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,I,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674498 rdf:type owl:NamedIndividual , ; "KiP1"@en , "KiS1"@en , "KS1"@en , "KS2"@en , "Vmax,f"@en , "cP1"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=Vmax,fcS1cS2KiS1KS2+KS2cS1+KS1cS2+KiS1KS2KiP1cP1+cS1cS2+KS1KiP1cS2cP1"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered with product 1 - steady state assumption)"@en ; ; ; , ; "equation for bi bi reaction with ordered mechanism and product 1 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674499 rdf:type owl:NamedIndividual , ; "KiP1"@en , "KiS1"@en , "KS1"@en , "KS2"@en , "Vmax,f"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=Vmax,fcS1cS2KiS1KS2+KS2cS1+KS1cS2+KiS1KS2KiP1cP1+cS1cS2+KS1KiP1cS2cP1"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered with product 1 and single central complex - steady state assumption)"@en ; ; ; , ; , ; "equation for bi bi reaction with ordered mechanism and product 1 and Single Central Complex following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674500 rdf:type owl:NamedIndividual , ; "KiP1"@en , "KiP2"@en , "KiS1"@en , "KP1"@en , "KP2"@en , "KS1"@en , "KS2"@en , "Vmax,f"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=Vmax,fcS1cS2KiS1KS2+KS2cS1+KS1cS2+KiS1KS2KP1KiP1KP2cP2+cS1cS2+KS2KP1KiP1KP2cS1cP2+1KiP2cS1cS2cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered with product 2 - steady state assumption)"@en ; ; ; , ; "equation for bi bi reaction with ordered mechanism and product 2 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674501 rdf:type owl:NamedIndividual , ; "KiP1"@en , "KiP2"@en , "KiS1"@en , "KP1"@en , "KP2"@en , "KS1"@en , "KS2"@en , "Vmax,f"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=Vmax,fcS1cS2KiS1KS2+KS2cS1+KS1cS2+KiS1KS2KP1KiP1KP2cP2+cS1cS2+KS2KP1KiP1KP2cS1cP2+1KiP2cS1cS2cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered with product 2 and single central complex - steady state assumption)"@en ; ; ; , , , , ; , ; "equation for bi bi reaction with ordered mechanism and product 2 and Single Central Complex following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674502 rdf:type owl:NamedIndividual , ; "Keq"@en , "KiP1"@en , "KiP2"@en , "KiS1"@en , "KiS2"@en , "KP1"@en , "KP2"@en , "KS1"@en , "KS2"@en , "Vmax,b"@en , "Vmax,f"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=Vmax,fVmax,b(cS1cS2−cP1cP2Keq)Vmax,bKiS1KS2+Vmax,bKS2cS1+Vmax,bKS1cS2+Vmax,fKP1KeqcP2+Vmax,fKP2KeqcP1+Vmax,bcS1cS2+Vmax,fKP1KiS1KeqcS1cP2+Vmax,fKeqcP1cP2+Vmax,bKS1KiP1cS1cP1+Vmax,bKiP2cS1cS2cP2+Vmax,fKiS2KeqcS2cP1cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered with products 1 and 2 - steady state assumption)"@en ; ; ; , ; "equation for bi bi reaction with ordered mechanism and products 1 and 2 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674503 rdf:type owl:NamedIndividual , ; "Keq"@en , "KiP1"@en , "KiP2"@en , "KiS1"@en , "KiS2"@en , "KP1"@en , "KP2"@en , "KS1"@en , "KS2"@en , "V1"@en , "V2"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1V2(cS1cS2−cP1cP2Keq)V2KiS1KS2+V2KS2cS1+V2KS1cS2+V1KP1KeqcP2+V1KP2KeqcP1+V2cS1cS2+V1KP1KiS1KeqcS1cP2+V1KeqcP1cP2+V2KS1KiP1cS1cP1+V2KiP2cS1cS2cP2+V1KiS2KeqcS2cP1cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered with products 1 and 2 and single central complex - steady state assumption)"@en ; ; ; , , , , , , ; , ; "equation for bi bi reaction with ordered mechanism and products 1 and 2 and Single Central Complex following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674504 rdf:type owl:NamedIndividual , ; "KiS1"@en , "KS1"@en , "KS2"@en , "Vmax,f"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=Vmax,fcS1cS2KiS1KS2+KS2cS1+KS1cS2+cS1cS2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered without products - steady state assumption)"@en ; ; ; , ; "equation for bi bi reaction with ordered mechanism and without products following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674505 rdf:type owl:NamedIndividual , ; "KiS1"@en , "KS1"@en , "KS2"@en , "V1"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1cS1cS2KiS1KS2+KS2cS1+KS1cS2+cS1cS2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction ordered without products and single central complex - steady state assumption)"@en ; ; ; ; , ; "equation for bi bi reaction with ordered mechanism without products and Single Central Complex following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674506 rdf:type owl:NamedIndividual , ; "KiP1"@en , "KiS1"@en , "KiS2"@en , "KS1"@en , "KS2"@en , "V1"@en , "cP1"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1cS1cS2KiS1KS2+KS2cS1+KS1cS2+cS1cS2+KS1KiS2KiP1cP1+KS2KiP1cS1cP1"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction Theorell-Chance with product 1 - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , , ; , , ; "equation for bi bi reaction with Theorell-Chance mechanism with product 1 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674507 rdf:type owl:NamedIndividual , ; "KiP2"@en , "KiS1"@en , "KS1"@en , "KS2"@en , "V1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1cS1cS2KiS1KS2+KS2cS1+KS1cS2+cS1cS2+KiS1KS2KiP2cP2+KS1KiP2cS2cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction Theorell-Chance with product 2 - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , , ; "equation for bi bi reaction with Theorell-Chance mechanism with product 2 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674508 rdf:type owl:NamedIndividual , ; "Keq"@en , "KiP2"@en , "KiS1"@en , "KP1"@en , "KP2"@en , "KS1"@en , "KS2"@en , "V1"@en , "V2"@en , "cP1"@en , "cP2"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1V2(cS1cS2−cP1cP2Keq)V2KiS1KS2+V2KS2cS1+V2KS1cS2+V1KP2KeqcP1+V1KP1KeqcP2+V2cS1cS2+V1KP2KiS1KeqcS1cP1+V2KS1KiP2cS2cP2+V1KeqcP1cP2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction Theorell-Chance with products 1 and 2 - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , , ; , , ; "equation for bi bi reaction with Theorell-Chance mechanism with products 1 and 2 following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Keq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674509 rdf:type owl:NamedIndividual , ; "KiS1"@en , "KS1"@en , "KS2"@en , "V1"@en , "cS1"@en , "cS2"@en , "v0"@en ; "v0=V1cS1cS2KiS1KS2+KS2cS1+KS1cS2+cS1cS2"@en ; rdfs:label "Michaelis Menten equation (bi bi reaction Theorell-Chance without products - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "equation for bi bi reaction with Theorell-Chance mechanism without products following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KiS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674510 rdf:type owl:NamedIndividual , ; "KP"@en , "KS"@en , "Vmax,b"@en , "Vmax,f"@en , "cP"@en , "cS"@en , "v0"@en ; "v0=Vmax,fKS∗cS−Vmax,bKP∗cP1+cSKS+cPKP"@en ; rdfs:label "Michaelis Menten equation (uni uni reaction with product - steady state assumption)"@en ; ; ; , ; "equation for uni uni reaction with product following steady state assumption"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax,f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674511 rdf:type owl:NamedIndividual , ; "Kic"@en , "Kiu"@en ; "Kic≠Kiu"@en ; rdfs:label "mixed enzyme inhibition coupling condition (uni uni reaction)"@en ; ; ; "coupling condition for a mixed enzyme inhibition in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674513 rdf:type owl:NamedIndividual , ; "t"@en , "Cm"@en , "IC"@en , "Iext"@en , "Iion"@en , "Ispindle"@en , "Vm"@en , "λf"@en ; "dVmddt=1Cmd(−Iiond(Vmd)−ICd(Vmd,Vms))dVmsdt=1Cms(−Iions(Vms)−ICs(Vmd,Vms)+Ispindle(λf,λ˙f)+Iext)"@en ; rdfs:label "motor neuron pool ODE system"@en ; "Transmembrane potentials in the soma and the dendrite compartments."@en ; ; ; "two coupled ODEs which describe the transmembrane potentials"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "IC"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Iext"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Iion"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ispindle"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λf"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674514 rdf:type owl:NamedIndividual , ; "r"@en , "θ"@en , "φ"@en ; "V(r,θ,φ)=∑ℓ=0∞∑m=−ℓℓCℓm(r)Yℓm(θ,φ)"@en ; rdfs:label "spherical harmonics expansion (3D)"@en ; ; ; "representing a function in 3D in terms of spherical harmonics with distance(radius)-dependent coefficients"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "φ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674515 rdf:type owl:NamedIndividual , ; "h"@en , "t"@en , "u"@en , "ν"@en , "ρ"@en ; "∂u→∂t+u→⋅∇u→−ν∇2u→=−1ρ∇h∇⋅u→=0"@en ; rdfs:label "Navier-Stokes equations"@en ; ; "Q201321"@en ; ; ; , ; ; , ; "system of nonlinear partial differential equations describing the motion of viscous fluids"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674516 rdf:type owl:NamedIndividual , ; "I"@en , "t"@en , "ν"@en , "ρ"@en , "pff"@en , "vff"@en ; "∂v∂t+∇⋅(−ν(∇vff+∇vff,T)+ρ−1pffI)=0∇⋅vff=0"@en ; rdfs:label "Stokes equation"@en ; ; "Q7618547"@en ; "Stokes equation describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number. It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en ; ; ; , ; ; , ; ; "describes a fluid flow with small advective inertial forces compared to viscous forces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "pff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vff"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674517 rdf:type owl:NamedIndividual , ; rdfs:label "Neumann boundary condition"@en ; ; "Q1149279"@en ; ; ; , , , , , , , ; ; "boundary condition specifying the values of derivatives of a solution of a differential equation along the boundaries of a domain"@en . ### https://portal.mardi4nfdi.de/entity/Q6674518 rdf:type owl:NamedIndividual , ; "e"@en , "i"@en , "r"@en , "s"@en ; "s+e+i+r=1"@en ; rdfs:label "Neumann boundary condition (SEIR model)"@en ; "Homogeneous Boundary Condition for the Full-PDe SEIR Model ensure that all the fractions of the population densities of susceptibles, exposed, infectious and removed add up to 1 at all times."@en ; ; ; ; "boundary condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674519 rdf:type owl:NamedIndividual , ; "Kic"@en , "Kiu"@en , "k1"@en , "k3"@en , "k4"@en , "k5"@en , "k−1"@en , "k−3"@en , "k−4"@en , "k−5"@en ; "k1=k5k−1=k−5k−3=k−4k3=k4Kic=Kiu"@en ; rdfs:label "non-competitive enzyme inhibition coupling condition (uni uni reaction)"@en ; ; ; "coupling condition for a non-competitive enzyme inhibition in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kiu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−5"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674520 rdf:type owl:NamedIndividual , ; rdfs:label "quantum Hamiltonian (normal mode)"@en ; "Pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation."@en ; ; ; , , ; , ; ; "quantum-mechanical represention of molecular vibrations in terms of normal modes"@en . ### https://portal.mardi4nfdi.de/entity/Q6674522 rdf:type owl:NamedIndividual , ; "N"@en , "ω"@en , "Ĥ"@en , "p̂"@en , "q̂"@en , "ϕijk"@en , "ϕijkl"@en ; "Ĥ≡12∑i=13N−6ωi(p̂i2+q̂i2)+16∑ijkϕijkqiqjqk+124∑ijklϕijklqiqjqkql"@en ; rdfs:label "quantum Hamiltonian (normal mode, anharmonic)"@en ; ; ; ; ; "quantum-mechanical represention of molecular normal modes of vibration beyond the harmonic approximation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕijk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕijkl"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674523 rdf:type owl:NamedIndividual , ; "ℏ"@en , "E"@en , "N"@en , "n"@en , "ω"@en ; "En=∑r=13N−6(nr+12)ℏωr"@en ; rdfs:label "quantum eigen energy (harmonic)"@en ; "Eigenenergies of (single or coupled, for N particles) harmonic oscillators, e.g. molecular vibrations, within the harmonic approximation."@en ; ; ; , ; "eigenenergies of (single or coupled, for N particles) harmonic oscillators"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674524 rdf:type owl:NamedIndividual , ; "N"@en , "ω"@en , "Ĥ"@en , "p̂"@en , "q̂"@en ; "Ĥ≡12∑i=13N−6ωi(p̂i2+q̂i2)"@en ; rdfs:label "quantum Hamiltonian (normal mode, harmonic)"@en ; ; ; ; "quantum-mechanical represention of molecular normal modes of vibration within the harmonic approximation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q̂"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674525 rdf:type owl:NamedIndividual , ; rdfs:label "quantum eigen energy (intermolecular)"@en ; "For simplicity, here only for a chromophore interacting with solvent molecules of a different species. Hence, only non-degenerate perturbation theory (up to 2nd order) is used here. First and second order results for the 0->1 vibrational frequency|energy shifts are given as two separate formulations."@en ; ; ; , ; "eigenenergies of molecular vibrations, including the effects of intermolecular vibrations"@en . ### https://portal.mardi4nfdi.de/entity/Q6674526 rdf:type owl:NamedIndividual , ; "N"@en , "U"@en , "ω"@en , "ϕ"@en , "Ĥ"@en , "p̂"@en , "q̂"@en ; "Ĥ≡12∑i=13N−6ωi(p̂i2+q̂i2)+16∑ijkϕijkqiqjqk+124∑ijklϕijklqiqjqkql+Û(q)"@en ; rdfs:label "quantum Hamiltonian (normal mode, intermolecular)"@en ; ; ; ; ; "quantum-mechanical represention of molecular normal modes of vibration, including intermolecular interaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "U"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q̂"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674527 rdf:type owl:NamedIndividual , ; "DN"@en , "EN"@en , "mi"@en , "rij"@en , "𝒏ij∈ℝ3"@en , "𝒗i∈ℝ3"@en , "𝒙i∈ℝ3"@en , "kijN"@en , "𝑭ijN"@en ; "𝑭ijN=(kijNδij+dijNδ˙ij)𝒏ijδij=⟨𝒙i−𝒙j,𝒏ij⟩δ˙ij=⟨𝒗i−𝒗j,𝒏ij⟩rij=(ri+rj)/2kijN=ENπrij/2dijN=DN2kijNmijmij=mimjmi+mj𝒏ij=𝒙i−𝒙j‖𝒙i−𝒙j‖"@en ; rdfs:label "normal interaction force equation between two particles"@en ; ; ; "defining equation of force component acting normally at the contact interface between two particles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "mi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "rij"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒏ij∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒗i∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒙i∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kijN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝑭ijN"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674528 rdf:type owl:NamedIndividual , ; "Σℰ"@en , "ℐ̂(l)"@en , "ℰ̂(l)"@en ; "ℰ̂(l)=Σℰℐ̂(l)"@en ; rdfs:label "number of exposed individuals formulation"@en ; ; ; "equation for the number of exposed individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Σℰ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℐ̂(l)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℰ̂(l)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674529 rdf:type owl:NamedIndividual , ; "Σℰ"@en , "ℐ̂(l)"@en , "ℛ̂(l)"@en , "𝒩̂(l)"@en , "𝒮̂(l)"@en ; "𝒮̂(l)=𝒩̂(l)−(1+Σℰ)ℐ̂(l)−ℛ̂(l)"@en ; rdfs:label "number of susceptible individuals formulation"@en ; ; ; "equation for the number of susceptible individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Σℰ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℐ̂(l)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℛ̂(l)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒩̂(l)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒮̂(l)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674530 rdf:type owl:NamedIndividual , ; "χ"@en , "R"@en , "Rc"@en ; "Rc=(χTχ)−1χTRχ"@en ; rdfs:label "object cluster formulation"@en ; ; ; "formulation determining the coherence of object clusters"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Rc"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674531 rdf:type owl:NamedIndividual , ; "u∗2"@en , "χ"@en ; "χ=[u∗2,1−u∗2]"@en ; rdfs:label "object committor function formulation"@en ; ; ; "formulation determining the object commitor functions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u∗2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674532 rdf:type owl:NamedIndividual , ; "N"@en , "f(o)"@en , "o"@en , "𝐌"@en ; "Mi,j=f(oi)⊙f(oj)fori,jinN"@en ; rdfs:label "object commonality formulation"@en ; ; ; "function defining the entries in the object commonality matrix"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f(o)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "o"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐌"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674533 rdf:type owl:NamedIndividual , ; "m"@en , "x"@en , "ℬ"@en , "𝒫"@en ; "ℬ=𝒫(x1,x2,...,xm)"@en ; rdfs:label "object comparison formulation"@en ; ; ; "boolean ring over object properties"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℬ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒫"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674534 rdf:type owl:NamedIndividual , ; "scoremax"@en , "𝐌"@en , "𝐑"@en ; "f:𝐌→𝐑:f(s)=y, s∈𝐌, y∈{𝐑|0≤y≤scoremax}"@en ; rdfs:label "object rating formulation"@en ; ; ; "formulation rating the object commonalities"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "scoremax"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐌"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐑"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674535 rdf:type owl:NamedIndividual , ; "𝐑"@en , "𝐔"@en , "𝐕"@en ; "𝐑=𝐔𝐕𝐔𝐓"@en ; rdfs:label "object rating matrix decomposition (Schur)"@en ; ; ; ; ; "Schur decomposition of the object rating matrix"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐑"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐔"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐕"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674536 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "N"@en , "t"@en , "u"@en , "z"@en ; "z˙(t)=−(A†+∑kuk(t)Nk†)z(t)−B†u(t)"@en ; rdfs:label "optimal control backward"@en ; ; ; "Lagrange multipliers of control systems are propagated backward via the adjoint of the input equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674537 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "N"@en , "t"@en , "u"@en , "x"@en ; "x˙(t)=(A+∑kuk(t)Nk)x(t)+Bu(t)"@en ; rdfs:label "optimal control forward"@en ; ; ; "state vectors of control systems are propagated forward via the input equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674538 rdf:type owl:NamedIndividual , ; "N"@en , "t"@en , "u"@en , "x"@en , "z"@en , "α"@en ; "uk(t)=−1αkℑ(z†(t)Nkx(t))"@en ; rdfs:label "optimal control update"@en ; ; ; "updated control is calculated from state vector and Lagrange multiplier of a control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674539 rdf:type owl:NamedIndividual , ; "D"@en , "T"@en , "t"@en , "x"@en , "z"@en ; "z(t=T)=Dx(t=T)"@en ; rdfs:label "optimal control final"@en ; ; ; "final condition for the (backward) propagation of the Lagrange multiplier of a control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674540 rdf:type owl:NamedIndividual , ; "t"@en , "x"@en , "x0"@en ; "x(t=0)=x0"@en ; rdfs:label "optimal control initial"@en ; ; ; "initial condition for the (forward) propagation of the state vector of a control system"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674541 rdf:type owl:NamedIndividual , ; "A"@en , "N"@en , "T"@en , "t"@en , "u"@en , "x"@en , "z"@en ; "J[u,x,z]=2ℜ∫0Tdtz†(t)(∂t−A−∑kuk(t)Nk)x(t)"@en ; rdfs:label "optimal control constraint"@en ; ; ; "Constraint functional in optimal control systems requiring that the system's state vector follows the respective equation of motion"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674542 rdf:type owl:NamedIndividual , ; "rhom,l"@en , "ρ"@en ; "ρ=Σm,lρm,l"@en ; rdfs:label "overall distribution of individuals formulation"@en ; ; ; "equation for the overall distribution of individuals"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "rhom,l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674543 rdf:type owl:NamedIndividual , ; "ϕ(x)"@en ; "ϕ(x)=exp⁡(−x)"@en ; rdfs:label "pair function assumption"@en ; ; ; "pair function weighting social influence via distance in opinion space"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ(x)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674544 rdf:type owl:NamedIndividual , ; rdfs:label "periodic boundary conditions"@en ; ; "Q2992284"@en ; "When an object passes through one side of the unit cell, it re-appears on the opposite side with the same velocity. In topological terms, the space made by one-dimensional PBCs can be thought of as being mapped onto a circle. The space made by two-dimensional PBCs can be thought of as being mapped onto a torus."@en ; ; ; ; "set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell"@en . ### https://portal.mardi4nfdi.de/entity/Q6674545 rdf:type owl:NamedIndividual , ; "D"@en , "E"@en , "P"@en , "x"@en , "μ"@en ; "D(x)∼P(E(x)μ(x))"@en ; rdfs:label "Poisson-distributed deaths"@en ; ; ; ; "assuming that death counts at age x are Poisson-distributed"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674546 rdf:type owl:NamedIndividual , ; "t"@en , "dcPdt"@en , "cE"@en , "cP"@en , "cES"@en , "k2"@en , "k−2"@en ; "dcPdt=k2∗cES−k−2∗cE∗cP"@en ; rdfs:label "product concentration ODE (uni uni reaction)"@en ; ; ; "ordinary differential equation describing the concentration over time in an uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcPdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674548 rdf:type owl:NamedIndividual , ; "E"@en , "U"@en , "q"@en ; "E1,r(1)−E0,r(1)=12∂2U∂qr2"@en ; rdfs:label "vibrational frequency shift (1st order)"@en ; "The interpretation is quite straight-forward: Effectively, the intermolecular potential changes the effective force constant of a vibrational normal mode."@en ; ; ; "frequency shift of molecular vibrations caused by interaction with surrounding particles from 1st order non-degenerate perturbation theory"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "U"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674549 rdf:type owl:NamedIndividual , ; "E"@en , "U"@en , "q"@en , "ω"@en , "ϕ"@en ; "E1,r(2)−E0,r(2)=12ϕrrsωs∂U∂qs"@en ; rdfs:label "vibrational frequency shift (2nd order)"@en ; "The interpretation is based on the coupling of different vibrational normal modes, mediated by the cubic anharmonicity of the intramolecular force field."@en ; ; ; "frequency shift of molecular vibrations caused by interaction with surrounding particles from 2nd order non-degenerate perturbation theory"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "U"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674550 rdf:type owl:NamedIndividual , ; "B"@en , "j"@en , "Ej"@en ; "Ej=Bj(j+1)"@en ; rdfs:label "quantum eigen energy (linear rigid rotor)"@en ; ; ; "quantum-mechanical eigen energies of a linear rotor"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ej"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674551 rdf:type owl:NamedIndividual , ; "B"@en , "D"@en , "j"@en , "Ej"@en ; "Ej=Bj(j+1)−Dj2(j+1)2"@en ; rdfs:label "quantum eigen energy (linear non-rigid rotor)"@en ; ; ; ; "quantum-mechanical eigen energies of a non-rigid rotor"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ej"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674552 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "C"@en , "Ĥ"@en , "JA"@en , "JB"@en , "JC"@en ; "Ĥ≡AJÂ2+BJB̂2+CJĈ2"@en ; rdfs:label "quantum Hamiltonian (symmetric top)"@en ; "A symmetric top is a molecule in which two moments of inertia are the same. By definition, a symmetric top must have a 3-fold or higher order rotation axis. In practice, spectroscopists divide molecules into two classes of symmetric tops: Oblate symmetric tops (saucer or disc shaped), e.g., C6H6, and Prolate symmetric tops (rugby football, or cigar shaped), e.g. CH3Cl."@en ; ; ; ; ; ; "quantum-mechanical represention of a molecule as a symmetric top"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "JA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "JB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "JC"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674553 rdf:type owl:NamedIndividual , ; "kcatalytic"@en , "kunbind"@en ; "kcatalytic≪kunbind"@en ; rdfs:label "rapid equilibrium assumption"@en ; ; ; "catalytic rate constant mich lower than unbinding rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kcatalytic"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kunbind"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674554 rdf:type owl:NamedIndividual , ; "A"@en , "D"@en , "e"@en , "i"@en , "n"@en , "s"@en , "t"@en , "σ"@en , "βe"@en , "βi"@en , "ϕe"@en ; "∂te=div⁡(D∇e)+(1−An+n0)s(βee+βii)−σe−ϕee"@en ; rdfs:label "rate of change of population density fraction of exposed PDE"@en ; ; ; "partial derivative of population density fraction of exposed"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674555 rdf:type owl:NamedIndividual , ; "D"@en , "e"@en , "i"@en , "t"@en , "σ"@en , "ϕi"@en ; "∂ti=div⁡(D∇i)+σe−ϕii"@en ; rdfs:label "rate of change of population density fraction of infectious PDE"@en ; ; ; "partial derivative of population density fraction of infectious"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕi"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674556 rdf:type owl:NamedIndividual , ; "D"@en , "e"@en , "i"@en , "r"@en , "t"@en , "ϕe"@en , "ϕi"@en ; "∂tr=div⁡(D∇r)+ϕii+ϕee"@en ; rdfs:label "rate of change of population density fraction of removed PDE"@en ; ; ; "partial derivative of population density fraction of removed"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕi"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674557 rdf:type owl:NamedIndividual , ; "A"@en , "D"@en , "e"@en , "i"@en , "n"@en , "s"@en , "t"@en , "βe"@en , "βi"@en ; "∂ts=div⁡(D∇s)−(1−An+n0)s(βee+βii)"@en ; rdfs:label "rate of change of population density fraction of susceptibles PDE"@en ; ; ; "partial derivative of population density fraction of susceptibles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βi"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674558 rdf:type owl:NamedIndividual , ; "r"@en , "t"@en , "x"@en , "η"@en , "ψ"@en , "nm,l"@en , "Λm→l(x,t)"@en ; "Λm→l(x,t)=ηψ(‖zl−x‖)r(nm,l(t)∑m′=1Mnm′,l(t))"@en ; rdfs:label "rate of switching influencers formulation"@en ; "Each individual i can at any time t switch its current influencer l′ to another influencer l with a given rate. By setting the pair function to ψ(x) = exp(−x), an individual has an exponentially higher rate to switch to an influencer that has a similar opinion than to an influencer with a very different opinion. This rate of switching influencers is defined by this formulation."@en ; ; ; "rate of switching influencers"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "η"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nm,l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λm→l(x,t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674559 rdf:type owl:NamedIndividual , ; "Δt"@en , "γ"@en , "Ini"@en , "Rni"@en ; "Rn+1i=Rni+γiΔtIni"@en ; rdfs:label "removed at time step n+1 in the multi-population discrete SIR model"@en ; ; ; "equation for removed individuals in the discrete multi-population SIR Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Rni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674560 rdf:type owl:NamedIndividual , ; "Δt"@en , "γ"@en , "In"@en , "Rn"@en ; "Rn+1=Rn+γΔtIn"@en ; rdfs:label "removed at time step n+1 in the discrete SIR model"@en ; ; ; "equation for removed individuals in the SIR Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Rn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674561 rdf:type owl:NamedIndividual , ; "Δt"@en , "β"@en , "γ"@en , "In"@en , "Rn"@en ; "Rn+1=Rn(1−βΔt)+γΔtIn"@en ; rdfs:label "removed at time step n+1 in the discrete SIR model with births and deaths"@en ; ; ; "equation for removed individuals in the discrete SIR Model with births and deaths"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Rn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674562 rdf:type owl:NamedIndividual , ; "α"@en ; "∀t≥0,0≤α(t)<∞"@en ; rdfs:label "spreading rate (time-dependent) constraint"@en ; ; ; "constraints applying to time-dependent spreading rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674563 rdf:type owl:NamedIndividual , ; "i"@en , "m"@en , "n"@en , "t"@en , "α(t)"@en , "dsm(t)dt"@en , "Gm,n"@en , "NR"@en , "Pm"@en , "sm(t)"@en ; "dsm(t)dt=−sm(t)α(t)∑n=1NRGm,nin(t)im(t)=Pm−sm(t)"@en ; rdfs:label "susceptible infectious epidemic spreading ODE system"@en ; ; ; , ; "equations describing the spreading in a susceptible infectious epidemic model on a network with time-dependent spreading rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dsm(t)dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Gm,n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "NR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Pm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "sm(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674564 rdf:type owl:NamedIndividual , ; rdfs:label "Runge–Kutta method"@en ; "Q725944"@en ; "These methods, which include the Euler method, were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta."@en ; ; ; , , ; ; , ; "family of implicit and explicit methods used in temporal discretization for the approximate solutions of differential equations"@en . ### https://portal.mardi4nfdi.de/entity/Q6674565 rdf:type owl:NamedIndividual , ; "D"@en , "e"@en , "i"@en , "r"@en , "s"@en , "ν"@en ; "νTD∇s=νTD∇e=νTD∇i=νTD∇r=0"@en ; rdfs:label "SEIR derivative relation"@en ; ; ; "derivative relation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674566 rdf:type owl:NamedIndividual , ; rdfs:label "time-dependent Schrödinger equation (Chebychev polynomial)"@en ; ; ; ; , ; , ; "Chebchev polynomial scheme for numerical integration of the time-dependent Schrödinger equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6674567 rdf:type owl:NamedIndividual , ; rdfs:label "time-dependent Schrödinger equation (differencing scheme)"@en ; ; ; , ; ; ; "differencing scheme (symmetric combination of Euler forward and backward in time) for numerical integration of the time-dependent Schrödinger equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6674568 rdf:type owl:NamedIndividual , ; "ℏ"@en , "T"@en , "V"@en , "Δt"@en , "ψ"@en , "i"@en ; "|ψ(t+Δt)⟩=exp⁡(−iΔtT̂/ℏ)exp⁡(−iΔtV̂/ℏ)|ψ(t)⟩+𝒪(Δt)"@en ; rdfs:label "time-dependent Schrödinger equation (Lie-Trotter)"@en ; ; ; , , ; , , ; "first order (Lie-Trotter) split operator scheme for numerical integration of the time-dependent Schrödinger equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674569 rdf:type owl:NamedIndividual , ; rdfs:label "time-dependent Schrödinger equation (split operator)"@en ; ; ; , ; ; "split operator scheme for numerical integration of the time-dependent Schrödinger equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6674570 rdf:type owl:NamedIndividual , ; "Δt"@en , "ai"@en , "γi"@en ; "αiiΔt≤(1−ai+γiΔt)2"@en ; rdfs:label "second condition for positive solutions in the multi population SIS model"@en ; ; ; "positive solution condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ai"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γi"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674571 rdf:type owl:NamedIndividual , ; "Δt"@en , "α"@en , "β"@en ; "αΔt≤(1+βΔt)2"@en ; rdfs:label "second condition for positive solutions in the SIR model with births and deaths"@en ; ; ; "positive solution condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674572 rdf:type owl:NamedIndividual , ; "Δt"@en , "α"@en , "γ"@en ; "αΔt<(1+γΔt)2"@en ; rdfs:label "second condition for positive solutions in the SIS model"@en ; ; ; "positive solution condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674573 rdf:type owl:NamedIndividual , ; "Δt"@en , "α"@en , "β"@en , "γ"@en ; "αΔt<(1+(β+γ)Δt)2"@en ; rdfs:label "second condition for positive solutions in the SIS model with births and deaths"@en ; ; ; "positive solution condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674574 rdf:type owl:NamedIndividual , ; "Iaj"@en , "N"@en , "λf"@en , "λ˙f"@en ; "Ispindle=∑j=1NspindlewjIaj(λfj,λ˙fj)"@en ; rdfs:label "sensory organ equation"@en ; ; ; "representing a sensory organ"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Iaj"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λf"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "λ˙f"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674575 rdf:type owl:NamedIndividual , ; "G"@en , "a"@en , "m"@en , "r"@en ; "a→j=∑i≠jnGMi|r→i−r→j|3(r→i−r→j)"@en ; rdfs:label "solar system equations of motion"@en ; "The acceleration of a celestial body can be calculated from Newton's Law of Gravitation. Each body attracts each other body, the total acceleration being the sum of all these attractions."@en ; ; ; , ; "mathematical formulation describing the motion of the planets around the sun"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674576 rdf:type owl:NamedIndividual , ; "A"@en ; "ℜ(eig(A))<0"@en ; rdfs:label "stability linear autonomous system"@en ; "The asymptotic stability of fixed points of a system of constant coefficient linear differential equations of first order (also known as a linear autonomous system or time-invariant system, ẋ = A·x) can be analyzed using the eigenvalues of the corresponding matrix."@en ; ; ; , ; "condition for the asymptotic stability of fixed points of a system of constant coefficient linear differential equations of first order"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674577 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes Darcy coupling conditions"@en ; ; ; , , ; , ; "coupling free flow of an incompressible fluid (Stokes) to a flow in/through a permeable media (Darcy)"@en . ### https://portal.mardi4nfdi.de/entity/Q6674578 rdf:type owl:NamedIndividual , ; "pff"@en , "ppm"@en , "vff"@en ; "([VBC0][B'10][C'10]D′)([vffpff]ppm)=([g0]0)"@en ; rdfs:label "Stokes Darcy equation (discretized, pv)"@en ; "Equation (9) from the referenced 2021 arXiv manuscript by Schmalfuss et al.: Discrete model of Stokes-Darcy as a pressure-velocity (pv) formulation, to be solved for every time step."@en ; ; ; ; ; , ; "discrete model of Stokes-Darcy as a pressure-velocity (pv) formulation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "pff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ppm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vff"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674579 rdf:type owl:NamedIndividual , ; "ppm"@en ; "(A′B′C′D′)(xffppm)=(bff0)"@en ; rdfs:label "Stokes Darcy equation (discretized, td)"@en ; "Equation (8) from the referenced 2021 arXiv manuscript by Schmalfuss et al.: Discrete model of Stokes-Darcy as a two-domain (td) formulation, to be solved for every time step."@en ; ; ; ; ; , ; "discrete model of Stokes-Darcy as a two-domain (td) formulation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ppm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674580 rdf:type owl:NamedIndividual , ; "t"@en , "𝐲"@en , "Iion"@en , "Vmf"@en ; "∂𝐲∂t=G(𝐲,Vmf)Iion=Iion(Vmf,𝐲)"@en ; rdfs:label "subcellular DAE system"@en ; "A differential-algebraic equation systems that describes the muscle stress generation an a microscopic scale by means of internal state variables and describes the activation of the ion channels."@en ; ; ; "differential-algebraic equation systems that describes the muscle stress generation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐲"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Iion"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmf"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674581 rdf:type owl:NamedIndividual , ; "t"@en , "dcSdt"@en , "cE"@en , "cS"@en , "cES"@en , "k1"@en , "k−1"@en ; "dcSdt=−k1∗cE∗cS+k−1∗cES"@en ; rdfs:label "substrate concentration ODE (uni uni reaction)"@en ; ; ; "ordinary differential equation describing the concentration over time in a uni uni reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcSdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674582 rdf:type owl:NamedIndividual , ; "t"@en , "α(t)"@en , "dsm(t)dt"@en , "Gm,n"@en , "NR"@en , "in(t)"@en , "sm(t)"@en ; "dsm(t)dt=−sm(t)α(t)∑n=1NRGm,nin(t)"@en ; rdfs:label "susceptible cities ODE"@en ; ; ; "ordinary differential equation describing the rate of change of susceptible cities"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dsm(t)dt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Gm,n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "NR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "in(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "sm(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674583 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "Ini"@en , "Sni"@en , "Ni"@en ; "Sn+1i=Sni(1−∑k=1KαikΔtNiInk)"@en ; rdfs:label "susceptibles at time step n +1 in the discrete multi population SI model"@en ; ; ; "susceptibles in the discrete, multi-population SI model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sni"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674584 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "γi"@en , "Ini"@en , "Sni"@en , "Ni"@en ; "Sn+1i=Sni(1−∑k=1KαikΔtNiInk)"@en ; rdfs:label "susceptibles at time step n +1 in the discrete multi population SIR model"@en ; ; ; "susceptibles in the discrete, multi-population SIR model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sni"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674585 rdf:type owl:NamedIndividual , ; "Δt"@en , "αik"@en , "γi"@en , "Ini"@en , "Sni"@en , "Ni"@en ; "Sn+1i=Sni(1−∑k=1KαikΔtNiInk)+γiΔtIni"@en ; rdfs:label "susceptibles at time step n +1 in the discrete multi population SIS model"@en ; ; ; "susceptibles in the discrete, multi-population SIS model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αik"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ini"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sni"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ni"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674586 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "In"@en , "Sn"@en ; "Sn+1=Sn(1−αΔtNIn)"@en ; rdfs:label "susceptibles at time step n+1 in the discrete SIR model"@en ; ; ; "equation for the susceptibles in the SIR model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674587 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "β"@en , "In"@en , "Sn"@en ; "Sn+1=Sn(1−αΔtNIn+βΔt(N−Sn))"@en ; rdfs:label "susceptibles at time step n+1 in the discrete SIR model with births and deaths"@en ; ; ; "equation for the susceptibles in the SIR model with births and deaths"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674588 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "γ"@en , "In"@en , "Sn"@en ; "Sn+1=Sn(1−αΔtNIn)+γΔtIn"@en ; rdfs:label "susceptibles at time step n+1 in the discrete SIS model"@en ; ; ; "equation for the susceptibles in the SIS model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674589 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "β"@en , "γ"@en , "In"@en , "Sn"@en ; "Sn+1=Sn(1−αΔtNIn)+γΔtIn+βΔt(N−Sn)"@en ; rdfs:label "susceptibles at time step n+1 in the discrete SIS model with births and deaths"@en ; ; ; "equation for the susceptibles in the SIS model with births and deaths"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674590 rdf:type owl:NamedIndividual , ; "X"@en ; "AX+XB=C"@en ; rdfs:label "Sylvester equation"@en ; ; "Q3730848"@en ; "Due to the different sizes of A, B, C, the matrix X will be rectangular in general."@en ; ; ; , , , , , , ; ; ; "matrix equation, typically used in the field of control theory"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674591 rdf:type owl:NamedIndividual , ; "𝒕"@en , "DT"@en , "EN"@en , "mi"@en , "ri"@en , "𝒗i∈ℝ3"@en , "𝒙Cij∈ℝ3"@en , "kijN"@en , "kijT"@en , "𝑭ijT∈ℝ3"@en ; "𝑭ijT,pre=−kijT𝝃ij−dijT𝝃˙ij𝐢𝐟‖𝑭ijT,cons‖≤μ‖𝑭ijN‖𝐭𝐡𝐞𝐧𝑭ijT=𝑭ijT,pre,𝐞𝐥𝐬𝐞𝑭ijT=μ‖𝑭ijN‖𝒕,𝐰𝐡𝐞𝐫𝐞:𝑭ijT,cons=−kijT𝝃ij,𝝃ij=𝒙Cji−𝒙Cij,𝝃˙ij=⟨𝒗i−𝒗j,𝒕⟩𝒕,𝒕=𝝃ij‖𝝃ij‖,kijT=kijN/1.2,kijN=π2ri+rj2EN,dijT=2DTkijNmimjmi+mj."@en ; rdfs:label "tangential interaction force equation between two particles"@en ; ; ; ; "defining equation of force component acting tangentially at the contact interface between two particles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒕"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "mi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ri"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒗i∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒙Cij∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kijN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kijT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝑭ijT∈ℝ3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674592 rdf:type owl:NamedIndividual , ; "T"@en , "ri"@en , "𝒙i∈ℝ3"@en , "𝐅ijT"@en ; "𝑻i=(𝒙aij−𝒙i)×𝑭ijT𝒙aij=𝒙i+riri+rj(𝒙i−𝒙j)"@en ; rdfs:label "torque equation of particle"@en ; "Angular velocity needs to be taken into account when transforming the contact point between two particles from local to global coordinates."@en ; ; ; "defining equation determining the torque on a particle"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ri"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒙i∈ℝ3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐅ijT"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674593 rdf:type owl:NamedIndividual , ; "n(x)"@en , "wn(l~)"@en , "G(l~)(x)"@en ; "n(x)≡∑l~=1L~wn(l~)G(l~)(x)"@en ; rdfs:label "total population density formulation"@en ; ; ; "represented as a sum of Isotropic Gaussian functions of all provinces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "wn(l~)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G(l~)(x)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674594 rdf:type owl:NamedIndividual , ; "t"@en , "dcEdt"@en , "dcPdt"@en , "dcSdt"@en , "dcESdt"@en , "cE"@en , "cP"@en , "cS"@en , "cES"@en , "k1"@en , "k2"@en , "k−1"@en , "k−2"@en ; "dcSdt=−k1∗cE∗cS+k−1∗cESdcPdt=k2∗cES−k−2∗cE∗cPdcEdt=−k1∗cE∗cS+k−1∗cES+k2∗cES−k−2∗cE∗cPdcESdt=k1∗cE∗cS−k−1∗cES−k2∗cES+k−2∗cE∗cP"@en ; rdfs:label "uni uni reaction ODE system"@en ; ; ; , , , ; "system of ordinary differential equations describing an uni uni reaction over time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcEdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcPdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcSdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcESdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cES"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k−2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674595 rdf:type owl:NamedIndividual , ; "N"@en , "Δt"@en , "α"@en , "γ"@en , "In"@en , "Sn"@en ; "In+1=In(1−γΔt+αΔtNSn)"@en ; rdfs:label "infectious at time step n+1 in the SIS model"@en ; ; ; "equation to define the number of infectious individuals in the SIS Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "In"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674596 rdf:type owl:NamedIndividual , ; "t"@en , "Iion"@en , "σeff"@en , "Cmf"@en , "Vmf"@en ; "∂Vmf∂t=1Cmf(1Amσeff∂2Vmf∂s2−Iion(Vmf,𝐲)+S(Vms))inΩf"@en ; rdfs:label "monodomain equation for action potential propagation"@en ; "Describes the evelution of the transmembrane potential at each sacomeres location i.e. the propagation of the action potential."@en ; ; ; "the evelution of the transmembrane potential at each sacomeres location"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Iion"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σeff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cmf"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmf"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674597 rdf:type owl:NamedIndividual , ; "E"@en , "N"@en , "n"@en , "χ"@en , "ω"@en ; "En=∑r=13N−6ωr(nr+12)+∑r>sχrs(nr+12)(ns+12)"@en ; rdfs:label "quantum eigen energy (anharmonic)"@en ; "Eigenenergies of anharmonic oscillator systems, e.g. molecular vibrations, beyond the harmonic approximation."@en ; ; ; ; ; , ; "eigenenergies of anharmonic oscillator systems"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "χ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6674954 rdf:type owl:NamedIndividual , ; rdfs:label "action potential propagation model"@en ; "Accounts for the propagation of the action potential. Necessary because Subcellular model only considers isolated processes in one sacomere."@en ; ; ; ; ; "propagation of the action potential"@en . ### https://portal.mardi4nfdi.de/entity/Q6675146 rdf:type owl:NamedIndividual , ; rdfs:label "hybrid PDE ODE SEIR model"@en ; "Hybrid model combining the PDE model and ODe model, by segmenting the modeling domain into a PDE part and an ODE part."@en ; ; ; , , , , , , , , , , , , , , , , , , , , , , ; "hybrid model combining PDEs and ODEs"@en . ### https://portal.mardi4nfdi.de/entity/Q6675167 rdf:type owl:NamedIndividual , ; rdfs:label "susceptible infectious model"@en ; "Q2206164"@en ; ; ; , , ; ; ; "continuous-time model for the spreading of infectious diseases considering susceptible and infectious individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6675169 rdf:type owl:NamedIndividual , ; rdfs:label "susceptible infectious removed model"@en ; "Q2206263"@en ; ; ; , , , ; ; ; ; "continuous-time model for the spreading of infectious diseases considering susceptible, infectious and recovered/removed individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6675171 rdf:type owl:NamedIndividual , ; rdfs:label "susceptible infectious susceptible model"@en ; "Q2351772"@en ; ; ; , , ; ; ; ; "continuous-time model for the spreading of infectious diseases with temporary resistance considering susceptible and infectious individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6675231 rdf:type owl:NamedIndividual , ; rdfs:label "discrete susceptible infectious model"@en ; ; ; , , , , ; ; "discrete model for the spreading of infectious diseases considering susceptible and infectious individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6675263 rdf:type owl:NamedIndividual , ; rdfs:label "discrete susceptible infectious removed model"@en ; ; ; , , , , ; ; ; "discrete model for the spreading of infectious diseases considering susceptible, infectious and recovered/removed individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6675264 rdf:type owl:NamedIndividual , ; rdfs:label "discrete susceptible infectious susceptible model"@en ; ; ; , , , , ; ; ; "discrete-time model for the spreding of infectious diseases with temporary resistance considering susceptible and infectious individuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6675318 rdf:type owl:NamedIndividual , ; rdfs:label "susceptible infectious removed model with births and deaths"@en ; ; ; , , , , , ; ; "discrete-time SIR model with births and deaths"@en . ### https://portal.mardi4nfdi.de/entity/Q6675319 rdf:type owl:NamedIndividual , ; rdfs:label "susceptible infectious susceptible model with births and deaths"@en ; ; ; , , , ; ; "discrete-time SIS model with births and deaths"@en . ### https://portal.mardi4nfdi.de/entity/Q6675320 rdf:type owl:NamedIndividual , ; rdfs:label "Maxwell's equations"@en ; ; "Q51501"@en ; "Given the charge density ρ(r, t) and the current density j(r, t), Maxwell's equations yield the electric and magnetic fields, E(r, t) and B(r, t). These equations are the simplest representative of a more general class of models, also referred as Maxwell's equations, where ρ(r, t) and j(r, t) should be found from certain additional relations, e.g., from the Ohm's law."@en , "Together with the Lorentz force law, Maxwell's equations form the foundation of classical electromagnetism and optics. The equations provide a mathematical model for electric, optical, and radio technologies."@en ; ; , ; ; , , , ; ; ; ; ; "set of four coupled partial differential equations describing how electric and magnetic fields are generated and altered by each other and by charges and currents"@en . ### https://portal.mardi4nfdi.de/entity/Q6675321 rdf:type owl:NamedIndividual , ; rdfs:label "artificial neural network"@en ; "Q192776"@en ; ; ; ; , , ; ; "computational model used in machine learning, based on connected, hierarchical functions"@en . ### https://portal.mardi4nfdi.de/entity/Q6675322 rdf:type owl:NamedIndividual , ; rdfs:label "recurrent neural network"@en ; ; "Q1457734"@en ; ; ; ; "class of artificial neural network where connections between units form a directed graph along a temporal sequence"@en . ### https://portal.mardi4nfdi.de/entity/Q6675326 rdf:type owl:NamedIndividual , ; rdfs:label "partial mean field opinion model"@en ; "For situations with many individuals but few influencers and media, one can derive the mean-field limit by a partial differential equation (PDE) that describes the opinion dynamics of individuals in the limit of infinitely many individuals but is usually already a good approximation to the dynamics for finitely many individuals. Since here the number of influencers and media is still small and finite, their dynamics are still best described by SDEs but now coupled to PDEs for the evolution of the opinion distributions of individuals."@en ; ; ; , , , , , , , ; ; "opinion model considering many individuals and few traditional media and social media influencers"@en . ### https://portal.mardi4nfdi.de/entity/Q6675330 rdf:type owl:NamedIndividual , ; rdfs:label "opinion model with influencers and media"@en ; "General opinion model resulting from a large number of individuals adapting their opinions through interaction with each other as well as due to the influence of a few specific agents with particular roles, namely traditional media and social media influencers."@en ; ; ; ; , , , , , , , ; ; ; "general opinion model considering individuals, traditional media and social media influencers"@en . ### https://portal.mardi4nfdi.de/entity/Q6675331 rdf:type owl:NamedIndividual , ; rdfs:label "control system"@en ; ; "Q959968"@en ; "In general, there are there are two types of controls: open-loop control (feedforward), and closed-loop control (feedback). In many applications of practical relevance, the state vector x is very high-dimensional, even though input u and output y may be low-dimensional."@en ; ; , , , ; ; ; ; "system that manages the behavior of other systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6675332 rdf:type owl:NamedIndividual , ; rdfs:label "control system model (bilinear)"@en ; ; , , , ; ; , , , ; , ; "control system with bi-linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6675333 rdf:type owl:NamedIndividual , ; rdfs:label "linear time-invariant system"@en ; ; "Q1808960"@en ; ; , , ; ; , , ; "control system with linear input and output equations and time-independent coefficients"@en . ### https://portal.mardi4nfdi.de/entity/Q6675334 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model with product 1 (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following an ordered mechanism with product 1 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675335 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism (ODE model)"@en ; "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - substrate 1 - substrate 2 - complex, enzyme - product 1 - product 2 - complex, enzyme - product 1 complex and product 1 and 2 in a Bi Bi Reaction following the Ordered Mechanism. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en ; ; , , ; ; , , , , , , , , , , , , ; , , , ; "bi bi reaction model following an ordered mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6675336 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model with product 1 and single central complex (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism with product 1 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675337 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism with single central complex (ODE model)"@en ; "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex, enzyme - product 1 - complex and product 1 and 2 in a Bi Bi Reaction following the Ordered Mechanism with a Single Central Complex. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en ; ; , , ; ; , , , , , , , , , , , ; , , , ; "bi bi reaction with single central complex model following an ordered mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6675338 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model with product 2 (steady state assumption)"@en ; ; ; ; , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following an ordered mechanism with product 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675339 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model with product 2 and single central complex (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism with product 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675340 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following an ordered mechanism with products 1 and 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675341 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model with products 1 and 2 and single central complex (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism with products 1 and 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675342 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model without products (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following an ordered mechanism without products formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675343 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ordered mechanism Michaelis Menten model without products and single central complex (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , ; "bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism without products formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675344 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ping pong mechanism Michaelis Menten model with product 1 (steady state assumption)"@en ; ; , ; ; , , , , , , ; ; ; , ; "bi bi reaction Michaelis Menten model following a ping-pong mechanism with product 1 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675345 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ping pong mechanism Michaelis Menten model with product 2 (steady state assumption)"@en ; ; , ; ; , , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following a ping-pong mechanism with product 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675346 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ping pong mechanism (ODE model)"@en ; "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, intermediate, intermediate - substrate 2 - complex, product 1 and 2) in a Bi Bi Reaction following the Ping Pong Mechanism. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en ; ; , , ; ; , , , , , , , , , , , ; , , , ; ; "bi bi reaction model following a ping-pong mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6675347 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction Ping Pong mechanism Michaelis Menten model with products 1 and 2 (steady state assumption)"@en ; ; , ; ; , , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following a ping-pong mechanism with products 1 and 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675348 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction ping pong mechanism Michaelis Menten model without products (steady state assumption)"@en ; ; , ; ; , , , , , , ; ; , ; "bi bi reaction Michaelis Menten model following a ping-pong mechanism without products formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675349 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 1 (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , , , ; "bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism with product 1 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675350 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction Theorell-Chance mechanism Michaelis Menten model with product 2 (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , , , ; "bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism with product 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675351 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction Theorell-Chance mechanism (ODE model)"@en ; "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - product 2 - complex, product 1 and 2) in a Bi Bi Reaction following the Theorell-Chance Mechanism. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en ; ; , , ; ; , , , , , , , , , , ; , , , ; , ; "bi bi reaction model following a Theorell-Chance mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6675352 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction Theorell-Chance mechanism Michaelis Menten model with products 1 and 2 (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , , , ; "bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism with products 1 and 2 formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675353 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction Theorell-Chance mechanism Michaelis Menten model without products (steady state assumption)"@en ; ; ; ; , , , , , , ; ; , , , ; "bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism without products formulated via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675354 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction competitive complete inhibition (Dixon model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; ; "uni uni reaction Dixon model without product and competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675355 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction competitive complete inhibition (Eadie Hofstee model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Eadie Hofstee model without product and competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675356 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction competitive complete inhibition (Hanes Woolf model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product and competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675357 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction competitive complete inhibition (Lineweaver Burk model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product and competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675358 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction competitive complete inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675359 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction competitive partial inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and competitive partial Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675360 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction mixed complete inhibition (Dixon model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; ; "uni uni reaction Dixon model without product and mixed complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675361 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction mixed complete inhibition (Eadie Hofstee model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Eadie Hofstee model without product and mixed complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675362 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction mixed complete inhibition (Hanes Woolf model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product and mixed complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675363 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction mixed complete inhibition (Lineweaver Burk model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product and mixed complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675364 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction mixed complete inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and mixed complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675365 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction mixed partial inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and mixed partial Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675366 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction non-competitive complete inhibition (Dixon model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; ; "uni uni reaction Dixon model without product and non-competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675367 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction non-competitive complete inhibition (Eadie Hofstee model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Eadie-Hofstee model without product and non-competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675368 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction non-competitive complete inhibition (Hanes Woolf model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product and non-competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675369 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction non-competitive complete inhibition (Lineweaver Burk model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product and non-competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675370 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction non-competitive complete inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and non-competitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675371 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction non-competitive partial inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , , , , ; ; ; , ; "uni uni reaction Dixon model without product and non-competitive partial Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675372 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction uncompetitive complete inhibition (Dixon model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; ; "uni uni reaction Dixon model without product and uncompetitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675373 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction uncompetitive complete inhibition (Eadie Hofstee model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Eadie Hofstee model without product and uncompetitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675374 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction uncompetitive complete inhibition (Hanes Woolf model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product and uncompetitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675375 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction uncompetitive complete inhibition (Lineweaver Burk model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product and uncompetitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675376 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction uncompetitive complete inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and uncompetitive complete Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675377 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction uncompetitive partial inhibition (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product and uncompetitive partial Inhibition via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675378 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Michaelis Menten model without product - steady state assumption)"@en ; ; ; ; , , , , , ; , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675379 rdf:type owl:NamedIndividual , ; rdfs:label "poro-visco-elastic model"@en ; "The elastic stresses are given via the derivative of a free energy density function, the viscous stresses are of Kelvin-Voigt type and formulated in terms of a dissipation potental. The evolution of the concentration is given via a diffusion equation that is pulled-back to the reference configuration. The mobility law depends nonlinearly on the deformation gradient and the concentration itself."@en , "The finite mechanical deformation is quasistatic and is formulated in the Lagrangian frame. The total stress consists of elastic and viscous stresses. Moreover, a second-order hyper-stress regularization is taken into account."@en ; ; ; ; , , ; ; "mathematical model describing the coupled evolution of the mechanical deformation and the concentration of a species"@en . ### https://portal.mardi4nfdi.de/entity/Q6675380 rdf:type owl:NamedIndividual , ; rdfs:label "charge transport model"@en ; ; ; ; "simple mathematical model for the transport of electric charge"@en . ### https://portal.mardi4nfdi.de/entity/Q6675381 rdf:type owl:NamedIndividual , ; rdfs:label "classical dynamics model"@en ; ; ; ; , , , , , ; ; "mathematical model of a system of point masses, subject to forces deriving from some potential energy function"@en . ### https://portal.mardi4nfdi.de/entity/Q6675382 rdf:type owl:NamedIndividual , ; rdfs:label "Brownian dynamics"@en ; ; "Q4976526"@en ; ; ; ; ; ; "mathematical model for describing molecular systems in the diffusive regime"@en . ### https://portal.mardi4nfdi.de/entity/Q6675383 rdf:type owl:NamedIndividual , ; rdfs:label "Langevin dynamics"@en ; ; "Q6485978"@en ; "The approach is characterized by the use of simplified models while accounting for omitted degrees of freedom only implicitly, i.e., by the use of stochastic differential equations."@en ; ; ; ; ; ; ; "mathematical model typically used to describe the dynamics of systems subject to a combination of deterministic and fluctuating forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6675384 rdf:type owl:NamedIndividual , ; rdfs:label "Fokker Planck model"@en ; ; , , , ; ; ; ; ; , ; "dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6675385 rdf:type owl:NamedIndividual , ; rdfs:label "multi-population discrete susceptible infectious model"@en ; ; ; , , , ; "discrete-time multi-population susceptible infectious model"@en . ### https://portal.mardi4nfdi.de/entity/Q6675386 rdf:type owl:NamedIndividual , ; rdfs:label "multi-population discrete susceptible infectious removed model"@en ; ; ; , , , , ; "discrete-time multi-population susceptible infectious removed model"@en . ### https://portal.mardi4nfdi.de/entity/Q6675387 rdf:type owl:NamedIndividual , ; rdfs:label "multi-population discrete susceptible infectious susceptible model"@en ; ; ; , , , , ; "discrete-time multi-population susceptible infectious susceptible model"@en . ### https://portal.mardi4nfdi.de/entity/Q6675388 rdf:type owl:NamedIndividual , ; rdfs:label "Scharfetter-Gummel scheme"@en ; "The Scharfetter-Gummel finite volume disretization scheme is the standard numerical method for solving the drift diffusion (aka van Roosbroeck) system describing the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation."@en ; ; ; , , ; , ; "finite volume disretization scheme for solving the van Roosbroeck system describing the semi-classical transport of free electrons and holes"@en . ### https://portal.mardi4nfdi.de/entity/Q6675389 rdf:type owl:NamedIndividual , ; rdfs:label "linear discrete element method"@en ; ; ; , , , ; "variant of the discrete element method that employs linear contact models for inter-particle forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6675390 rdf:type owl:NamedIndividual , ; rdfs:label "Darcy model"@en ; ; ; ; ; ; ; "mathematical model describing the flow of a fluid through a porous medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6675391 rdf:type owl:NamedIndividual , ; rdfs:label "Darcy model (discretized)"@en ; ; ; , ; ; "discretized version of Darcy's model describing the flow of a fluid through a porous medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6675392 rdf:type owl:NamedIndividual , ; rdfs:label "dynamical electron scattering model"@en ; "In crystalline solids, e.g. semiconductor nanostructures, it is influenced by spatial variations in the material composition and by local deformations of the lattice due to elastic strain. In order to model TEM images, we need to use elasticity theory to obtain the strain profile and couple this with the equations describing the electron propagation through the sample."@en ; ; , , ; ; , , , , , ; ; "quantum-mechanical propagation of electrons through a sample governed by dynamical electron scattering"@en . ### https://portal.mardi4nfdi.de/entity/Q6675393 rdf:type owl:NamedIndividual , ; rdfs:label "Gaussian noise"@en ; ; "Q2725903"@en ; "A typical model of image noise is Gaussian, additive, independent at each pixel, and independent of the signal intensity, caused primarily by Johnson–Nyquist noise (thermal noise), including that which comes from the reset noise of capacitors (\"kTC noise\")."@en ; ; ; ; ; ; ; "signal noise that has a probability density function equal to that of the normal distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6675394 rdf:type owl:NamedIndividual , ; rdfs:label "diffusion model"@en ; ; ; ; "mathematical model describing transport of mass|particles by diffusion"@en . ### https://portal.mardi4nfdi.de/entity/Q6675395 rdf:type owl:NamedIndividual , ; rdfs:label "discrete element method"@en ; ; "Q902783"@en ; "Describes any family of numerical functions for computing the motion and the effects of a large number of small particles. DEM is an effective method of addressing engineering problems in granular and discontinuous materials, especially in granular flows, powder mechanics, ice and rock mechanics."@en ; ; ; ; ; "family of numerical methods for modeling the behavior of assemblies of discrete particles in contact"@en . ### https://portal.mardi4nfdi.de/entity/Q6675396 rdf:type owl:NamedIndividual , ; rdfs:label "drift-diffusion model"@en ; "Semiconductor drift-diffusion models are closely related to reaction–diffusion systems and Poisson–Nernst–Planck models. The latter are used in biological applications to model electro-diffusive ion transport through ion channels across cell membranes."@en , "The drift-diffusion system describes the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation. It became the standard model to describe the current flow in semiconductor devices such as diodes, transistors, LEDs, solar cells and lasers, as well as quantum nanostructures and organic semiconductors."@en ; ; , , ; ; , , , , , , , , , , , , ; ; ; , , ; "mathematical model for semiclassical transport of free electrons and holes in a self-consistent electric field"@en . ### https://portal.mardi4nfdi.de/entity/Q6675397 rdf:type owl:NamedIndividual , ; rdfs:label "quantum model (closed system)"@en ; "A famous example is Schrödinger's cat, but only as long as the box is not opened!"@en ; ; , , ; ; , , ; , , ; "quantum dynamics of a closed system, i.e., a system that is not interacting with its environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6675398 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Eadie Hofstee model without product - irreversibility assumption)"@en ; ; ; ; , , , , , ; ; , ; , ; "uni uni reaction Eadie Hofstee model without product via the irreversibility assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675399 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Eadie Hofstee model without product - rapid equilibrium assumption)"@en ; ; ; ; , , , , , ; ; , ; , ; "uni uni reaction Eadie Hofstee model without product via the rapid equilibrium assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675400 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Eadie Hofstee model without product - steady state assumption)"@en ; ; ; ; , , , , , ; ; , ; , ; "uni uni reaction Eadie Hofstee model without product via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675401 rdf:type owl:NamedIndividual , ; rdfs:label "recurrent neural network surrogate for discrete element method"@en ; ; ; ; ; "surrogate model employing recurrent neural networks to approximate discrete element method simulations"@en . ### https://portal.mardi4nfdi.de/entity/Q6675402 rdf:type owl:NamedIndividual , ; rdfs:label "electrophysiological muscle model"@en ; ; ; ; ; ; "mathematical model of the neuromuscular system combining continuum mechanics models with electrophysiological models"@en . ### https://portal.mardi4nfdi.de/entity/Q6675403 rdf:type owl:NamedIndividual , ; rdfs:label "object comparison model"@en ; ; , ; ; ; ; "mathematical model comparing objects using a boolean ring over the object properties"@en . ### https://portal.mardi4nfdi.de/entity/Q6675404 rdf:type owl:NamedIndividual , ; rdfs:label "feedforward neural network"@en ; ; "Q5441227"@en ; ; ; "artificial neural network wherein connections between the nodes do not form a cycle"@en . ### https://portal.mardi4nfdi.de/entity/Q6675405 rdf:type owl:NamedIndividual , ; rdfs:label "free fall model (vacuum)"@en ; "A free fall is any motion of a body where gravity is the only force acting upon it. Hence, we are neglecting the aerodynamic drag (vanishing drag coefficient and/or density of air) and assuming a uniform gravitational field."@en ; ; , , ; ; , , ; , ; , ; , ; "mathematical model for the fall of objects, neglecting aerodynamic drag and assuming a uniform gravitational field"@en . ### https://portal.mardi4nfdi.de/entity/Q6675406 rdf:type owl:NamedIndividual , ; rdfs:label "free fall model (air drag)"@en ; ; , ; ; , , ; ; ; , ; "mathematical model for the fall of objects, including the aerodynamic drag and assuming a uniform gravitational field"@en . ### https://portal.mardi4nfdi.de/entity/Q6675407 rdf:type owl:NamedIndividual , ; rdfs:label "free fall model (non-uniform gravitation)"@en ; ; ; , ; ; , ; "mathematical model for the fall of objects, including the aerodynamic drag and allowing for a non-uniform gravitational field"@en . ### https://portal.mardi4nfdi.de/entity/Q6675408 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes Darcy model"@en ; ; ; , , ; ; ; , ; "free flow model of an incompressible fluid (Stokes model) coupled to a flow in/through a permeable media (Darcy equation)"@en . ### https://portal.mardi4nfdi.de/entity/Q6675409 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes model"@en ; "The Stokes model describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number. It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en ; ; ; ; ; ; , ; ; "describes a fluid flow with small advective inertial forces compared to viscous forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6675410 rdf:type owl:NamedIndividual , ; rdfs:label "Gamma-Gompertz-Makeham model"@en ; "We assume that death counts at age x are Poisson-distributed and the underlying population level hazard function follows a Gamma-Gompertz-Makeham model."@en ; ; ; ; , , ; , ; , ; "mathematical model for the mortality based on a Gamma-Gompertz-Makeham law"@en . ### https://portal.mardi4nfdi.de/entity/Q6675411 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Hanes Woolf model without product - irreversibility assumption)"@en ; ; ; ; , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product via the irreversibility assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675412 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Hanes Woolf model without product - rapid equilibrium assumption)"@en ; ; ; ; , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product via the rapid equilibrium assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675413 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Hanes Woolf model without product - steady state assumption)"@en ; ; ; ; , , , , , ; ; ; , ; "uni uni reaction Hanes Woolf model without product via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675414 rdf:type owl:NamedIndividual , ; rdfs:label "heat conduction model"@en ; ; ; ; "mathematical model for thermal conduction based on Fourier's law"@en . ### https://portal.mardi4nfdi.de/entity/Q6675415 rdf:type owl:NamedIndividual , ; rdfs:label "Hill-type two-muscle-one-tendon model"@en ; "Mathematical model to predict lumped passive and active muscle forces during movement on a macroscopic scale."@en ; ; ; ; , ; ; ; "mathematical model derived from the balancing forces at the muscle ends"@en . ### https://portal.mardi4nfdi.de/entity/Q6675416 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Michaelis Menten model with product - steady state assumption)"@en ; ; ; ; , , , , , ; ; , ; "uni uni reaction Michaelis Menten model with product via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675417 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Michaelis Menten model without product - irreversibility assumption)"@en ; ; ; ; , , , , , , ; , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product via the irreversibility assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675418 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Michaelis Menten model without product - rapid equilibrium assumption)"@en ; ; ; ; , , , , , ; , , ; ; ; , ; "uni uni reaction Michaelis Menten model without product via the rapid equilibrium assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675419 rdf:type owl:NamedIndividual , ; rdfs:label "susceptible infectious epidemic spreading model"@en ; ; , ; ; , ; ; "model for the susceptible infectious epidemic spreading on a network with time-dependent spreading rate."@en . ### https://portal.mardi4nfdi.de/entity/Q6675420 rdf:type owl:NamedIndividual , ; rdfs:label "linear rotor"@en ; ; , ; ; ; , ; "mathematical model of a linear molecule as a rigid rotor"@en . ### https://portal.mardi4nfdi.de/entity/Q6675421 rdf:type owl:NamedIndividual , ; rdfs:label "linear rotor (non-rigid)"@en ; ; , ; ; , ; ; "modeling a linear molecule as a non-rigid rotor, i.e., the bond between the atoms stretches out as the molecule rotates faster"@en . ### https://portal.mardi4nfdi.de/entity/Q6675422 rdf:type owl:NamedIndividual , ; rdfs:label "linear rotor (apolar)"@en ; ; , , ; ; , ; "mathematical model of an apolar linear molecule as a rigid rotor, interacting through its induced dipole moment with electric fields"@en . ### https://portal.mardi4nfdi.de/entity/Q6675423 rdf:type owl:NamedIndividual , ; rdfs:label "linear rotor (polar)"@en ; ; , , ; ; , ; "mathematical model of a polar linear molecule as a rigid rotor, interacting through its permanent dipole moment with electric fields"@en . ### https://portal.mardi4nfdi.de/entity/Q6675424 rdf:type owl:NamedIndividual , ; rdfs:label "linear rotor (combined)"@en ; "Note that under certain circumstances analytical solutions to the TISE are available for a finite number of low energy states (conditional quasi-exact solutions)."@en ; ; , , , ; ; , ; , ; "mathematical model of a polar linear molecule as a rigid rotor, interacting through both its permanent and induced electric dipole moment with electric fields"@en . ### https://portal.mardi4nfdi.de/entity/Q6675425 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Lineweaver Burk model without product - irreversibility assumption)"@en ; ; ; ; , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product via the irreversibility assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675426 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Lineweaver Burk model without product - rapid equilibrium assumption)"@en ; ; ; ; , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product via the rapid equilibrium assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675427 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (Lineweaver Burk model without product - steady state assumption)"@en ; ; ; ; , , , , , ; ; ; , ; "uni uni reaction Lineweaver Burk model without product via the steady state assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6675428 rdf:type owl:NamedIndividual , ; rdfs:label "Lorentz force model (non-relativistic)"@en ; "Neglecting the fact that real particles would generate their own E and B fields, which would alter the electromagnetic forces that they experience."@en ; ; ; ; ; ; ; "modeling the motion of \"test charges\" in electromagnetic fields in terms of the Lorentz force"@en . ### https://portal.mardi4nfdi.de/entity/Q6675429 rdf:type owl:NamedIndividual , ; rdfs:label "Lorentz force model (relativistic)"@en ; "Neglecting the fact that real particles would generate their own E and B fields, which would alter the electromagnetic forces that they experience."@en ; ; ; ; ; ; ; "modeling the motion of \"test charges\" in electromagnetic fields in terms of the Lorentz force"@en . ### https://portal.mardi4nfdi.de/entity/Q6675430 rdf:type owl:NamedIndividual , ; rdfs:label "loss function model"@en ; ; ; ; "in mathematical optimization, a function (to be minimized) representing the cost of each outcome"@en . ### https://portal.mardi4nfdi.de/entity/Q6675431 rdf:type owl:NamedIndividual , ; rdfs:label "mixed quantum-classical dynamics"@en ; ; "Q65091550"@en ; "Used to describe the dynamics of a system comprising of light/fast and heavy/slow particles where the classical approximation can be only justified for the latter ones, as is usually the case in molecular dynamics. There, non-adiabatic transitions of the quantum subsystem (usually electrons) can be triggered by dynamics of the classical subsystem (usually nuclei) and vice versa. Note that the many different approaches to quantum-classical dynamics, most notably surface hopping trajectories simulations, differ in the way how the nonadiabatic transition probabilities are calculated."@en ; ; ; , , , , ; ; , , ; , ; , , ; ; "hybrid quantum-classical model for a system with fast and slow degrees of freedom"@en . ### https://portal.mardi4nfdi.de/entity/Q6675432 rdf:type owl:NamedIndividual , ; rdfs:label "quantum model (open system)"@en ; "Quantum dynamics of an open system, i.e., a system that can exchange phase (e.g. in elastic collisions) and/or energy (e.g. in inelastic collisions) with its environment."@en ; ; , , , ; ; , ; ; "quantum dynamics of an open system, i.e., a system that interacts with its environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6675433 rdf:type owl:NamedIndividual , ; rdfs:label "normal mode"@en ; ; "Q900488"@en ; "These coordinates can be constructed by means of the GF (or FG) method by Wilson."@en ; ; ; ; , , ; , , ; "pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation"@en . ### https://portal.mardi4nfdi.de/entity/Q6675434 rdf:type owl:NamedIndividual , ; rdfs:label "normal mode (anharmonic)"@en ; "Describing molecular (or other) vibrations of many-body systems in terms of normal modes, beyond the harmonic approximation."@en ; ; ; ; ; , ; "molecular (or other) vibrations of many-body systems in terms of normal modes, beyond the harmonic approximation"@en . ### https://portal.mardi4nfdi.de/entity/Q6675435 rdf:type owl:NamedIndividual , ; rdfs:label "normal mode (harmonic)"@en ; ; ; ; , ; "describing molecular vibrations of many-body systems in terms of normal modes, within the harmonic approximation"@en . ### https://portal.mardi4nfdi.de/entity/Q6675436 rdf:type owl:NamedIndividual , ; rdfs:label "normal mode (intermolecular)"@en ; "Thus describing cluster effects, solvent effects etc."@en ; ; ; , ; ; , ; "describing molecular vibrations in terms of normal modes, beyond the harmonic approximation, and including intermolecular interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6675437 rdf:type owl:NamedIndividual , ; rdfs:label "motor neuron pool model"@en ; ; ; ; ; "mathematical model of neuromuscular system based on the agonist-antagonist myoneural interface"@en . ### https://portal.mardi4nfdi.de/entity/Q6675438 rdf:type owl:NamedIndividual , ; rdfs:label "multipole expansion"@en ; ; "Q1027847"@en ; "Multipole expansions are often used to represent electromagnetic fields, where the fields at distant points are given in terms of sources (charges and/or currents) in a small region (far field limit). The first term is called the monopole moment, the second term is called the dipole moment, the third term the quadrupole moment, etc."@en ; ; ; ; ; "mathematical series approximating an angle-dependent function"@en . ### https://portal.mardi4nfdi.de/entity/Q6675439 rdf:type owl:NamedIndividual , ; rdfs:label "sensory organ model"@en ; ; ; ; ; "mathematical model to detect macroscopic length change in the muscels and provide the motor neurons with this information."@en . ### https://portal.mardi4nfdi.de/entity/Q6675440 rdf:type owl:NamedIndividual , ; rdfs:label "numerical model of the solar system"@en ; ; "Q7069658"@en ; "Neglecting dwarf planets, satellites (e.g. Moon), asteroids, as well as the interaction with other stars or exoplanets. The numerical model of the Solar System consists of a set of mathematical equations, which, when solved, give the approximate positions of the planets as a function of time."@en ; ; ; ; "classical mechanics model of the sun (fixed) and the 8 planets (moving) as point masses"@en . ### https://portal.mardi4nfdi.de/entity/Q6675441 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes Darcy model (discretized)"@en ; ; ; , , , ; ; , ; "discretized version of a Stokes Darcy model for the incompressible flow in/through porous media"@en . ### https://portal.mardi4nfdi.de/entity/Q6675442 rdf:type owl:NamedIndividual , ; rdfs:label "Stokes model (discretized)"@en ; ; ; , ; ; "discretized version of a Stokes model for a fluid flow with small advective inertial forces compared to viscous forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6675443 rdf:type owl:NamedIndividual , ; rdfs:label "subcellular model"@en ; "Determines the lumped activation parameter and models the activation of ion channels in response to changes in the muscle fibers transmembrane."@en ; ; ; ; ; "determines the lumped activation parameter and models the activation of ion channels"@en . ### https://portal.mardi4nfdi.de/entity/Q6675444 rdf:type owl:NamedIndividual , ; rdfs:label "symmetric top (combined)"@en ; "Modeling a polar oblate (e.g. C6H6) or prolate (e.g. CH3Cl) molecule as a rigid symmetric top, interacting through both its permanent and induced electric dipole moment with electric fields. Note that analytical solutions to the TISE are available, see corresponding Task."@en ; ; , , , ; ; , ; "modeling a polar oblate or prolate molecule as a rigid symmetric top, interacting with electric fields"@en . ### https://portal.mardi4nfdi.de/entity/Q6675445 rdf:type owl:NamedIndividual , ; rdfs:label "transport model"@en ; "There are several (constitutive) equations which describe the transport of matter, or properties of it, in an almost identical way. In every case, in words they read: Flux (density) is proportional to a gradient, where the constant of proportionality is a characteristic of the material. In general, the constant must be replaced by a 2nd rank tensor, to account for directional dependencies of the material."@en ; ; ; ; , , , , ; ; "constitutive law describing the transport of matter, or properties of it, where the is proportional to a gradient"@en . ### https://portal.mardi4nfdi.de/entity/Q6675446 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction (ODE model)"@en ; "Ordinary differential equations for the rates of change of all chemical species (substrate, enzyme, enzyme-substrate complex, product) in an Uni Uni reaction. kᵢ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en ; ; , , ; ; , , , , , , , ; , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ; "uni uni reaction model"@en . ### https://portal.mardi4nfdi.de/entity/Q6684550 rdf:type owl:NamedIndividual , ; rdfs:label "balanced truncation"@en ; "The basic principle is to identify a subspace of jointly easily controllable and observable states and then to restrict the dynamics to this subspace, hopefully without changing the overall response of the system too much."@en , "This approach is based on balancing the controllable and observable subspaces, and exploits the properties of the underlying dynamical system in that it uses the properties of the controllability and observability Gramians to identify suitable small parameters that are sent to 0 to yield a reduced-order system."@en ; ; ; , ; , ; , , ; "powerful technique to reduce the state-space dimension of a dynamical system"@en . ### https://portal.mardi4nfdi.de/entity/Q6684551 rdf:type owl:NamedIndividual , ; rdfs:label "balanced truncation (linear)"@en ; "In the case of a linear control system, a useful property of balanced truncation is that it admits easy control of the approximation error when truncating states."@en ; ; ; , , , , , , , , , , , , , , , ; "powerful technique to reduce the state-space dimension of a dynamical system with linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684552 rdf:type owl:NamedIndividual , ; rdfs:label "balanced truncation (bi-linear)"@en ; "In the case of a bi-linear control system, are there any known error bounds when truncating states???"@en ; ; ; , , , , , , , , , , , , , , , , , , ; ; "powerful technique to reduce the state-space dimension of a dynamical system with bi-linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684553 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation of enzyme kinetics"@en ; ; ; , , , , , , , , , , , ; ; "nonlinear determination of the kinetic constants for enzyme-catalyzed reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684554 rdf:type owl:NamedIndividual , ; rdfs:label "parameter estimation of enzyme kinetics"@en ; ; ; , ; ; "determination of the kinetic constants for enzyme-catalyzed reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684555 rdf:type owl:NamedIndividual , ; rdfs:label "sensitivity analysis of complex kinetic systems"@en ; ; ; , ; "study of uncertainty in complex kinetic systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6684556 rdf:type owl:NamedIndividual , ; rdfs:label "simulation of complex kinetic systems"@en ; ; ; "study of the time-dependent behavior of complex kinetic systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6684557 rdf:type owl:NamedIndividual , ; rdfs:label "calculation of deformation and concentration"@en ; "For given external bulk force density, external surface force density, fixed boundary values and external chemical potential."@en ; ; ; , , , , , , , , , , , , , , , ; "simultaneously compute the coupled evolution of the deformation and the concentration poro-visco-elastic material"@en . ### https://portal.mardi4nfdi.de/entity/Q6684558 rdf:type owl:NamedIndividual , ; rdfs:label "H2 optimal approximation (bi-linear)"@en ; ; ; , , , , , , , ; ; "model order reduction by H2 optimal approximation for control systems with bi-linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684559 rdf:type owl:NamedIndividual , ; rdfs:label "classical time evolution"@en ; ; ; , , , , , , , , , ; ; "given initial positions and momenta of the particles in a classical mechanics system, the task is to predict these positions and momenta at later time"@en . ### https://portal.mardi4nfdi.de/entity/Q6684560 rdf:type owl:NamedIndividual , ; rdfs:label "control system time evolution"@en ; ; ; ; "computing the time evolution of a control system, for given initial state and given control , yielding output as a function of time"@en . ### https://portal.mardi4nfdi.de/entity/Q6684561 rdf:type owl:NamedIndividual , ; rdfs:label "control system time evolution (bi-linear)"@en ; ; ; , , , , , , , , ; , ; "computing the time evolution of a control system with bi-linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684562 rdf:type owl:NamedIndividual , ; rdfs:label "control system time evolution (linear)"@en ; ; ; , , , , , , , ; "computing the time evolution of a control system with linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684563 rdf:type owl:NamedIndividual , ; rdfs:label "denoising for improved parametric MRI of the kidney"@en ; ; ; ; ; "denoising for improved parametric MRI (Magnetic Resonance Imaging) of the kidney"@en . ### https://portal.mardi4nfdi.de/entity/Q6684564 rdf:type owl:NamedIndividual , ; rdfs:label "extract logical rules"@en ; ; ; , , ; "extract logical rules underlying a boolean ring"@en . ### https://portal.mardi4nfdi.de/entity/Q6684565 rdf:type owl:NamedIndividual , ; rdfs:label "far field radiation"@en ; "Given ρ(r, t) and j(r, t) that are localized in some domain in space, calculate E(r, t) and B(r, t) far from this domain. For instance, calculate the electromagnetic field emitted by an oscillating dipole."@en , "The far field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Electromagnetic radiation far-field behaviors predominate at greater distances."@en ; ; ; ; "electromagnetic radiation behaviors that predominate at greater distances"@en . ### https://portal.mardi4nfdi.de/entity/Q6684566 rdf:type owl:NamedIndividual , ; rdfs:label "free fall determine gravitation"@en ; ; ; , , , , , , , , , ; ; "given the time that it takes for an object to freely fall from a certain height to the ground, what is the magnitude of the gravitational acceleration"@en . ### https://portal.mardi4nfdi.de/entity/Q6684567 rdf:type owl:NamedIndividual , ; rdfs:label "free fall determine time"@en ; ; ; , , , , , , , , , ; ; ; "how long does it take for a freely falling object to fall to the ground"@en . ### https://portal.mardi4nfdi.de/entity/Q6684568 rdf:type owl:NamedIndividual , ; rdfs:label "free fall determine velocity"@en ; ; ; , , , , , , , , , ; ; "with which velocity will a freely falling object hit the ground"@en . ### https://portal.mardi4nfdi.de/entity/Q6684569 rdf:type owl:NamedIndividual , ; rdfs:label "H2 optimal approximation"@en ; "This approach is based on the interpolation of the Volterra series representation of the system's transfer function and gives a local H2-optimal approximation, because the interpolation is chosen so that the system satisfies the necessary H2-optimality conditions upon convergence of the algorithm. Note that H2 stands for Hardy space."@en ; ; ; ; , ; , , ; "model order reduction by interpolation of the Volterra series representation of the system's transfer function"@en . ### https://portal.mardi4nfdi.de/entity/Q6684570 rdf:type owl:NamedIndividual , ; rdfs:label "H2 optimal approximation (linear)"@en ; ; ; , , , , , , , ; "model order reduction by H2 optimal approximation for control systems with linear input equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684571 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - irreversibility assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684572 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - irreversibility assumption)"@en ; ; ; , , , , ; , , ; , ; "nonlinear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684573 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation of enzyme kinetics"@en ; ; ; , , , , , , , , , , , , , , , , , , , , , , , , ; ; "linear determination of the kinetic constants for enzyme-catalyzed reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684574 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - rapid equilibrium assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684575 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - rapid equilibrium assumption)"@en ; ; ; , , , , ; , , ; , ; "nonlinear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684576 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Eadie Hofstee model - steady state assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684577 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , ; , , ; , ; "nonlinear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684578 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Hanes Woolf model - irreversibility assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684579 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Hanes Woolf model - rapid equilibrium assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684580 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Hanes Woolf model - steady state assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684581 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - irreversibility assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684582 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - rapid equilibrium assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684583 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product - Lineweaver Burk model - steady state assumption)"@en ; ; ; , , , , ; , ; "linear fit to determine the limiting reaction rate and Michaelis constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684584 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Dixon model - steady state assumption)"@en ; ; ; , , , , , , ; ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684585 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and competitive complete inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , ; , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684586 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Eadie Hofstee model - steady state assumption)"@en ; ; ; , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684587 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Hanes Woolf model - steady state assumption)"@en ; ; ; , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684588 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and competitive complete inhibition - Lineweaver Burk model - steady state assumption)"@en ; ; ; , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684589 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Dixon model - steady state assumption)"@en ; ; ; , , , , , , , ; ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684590 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and mixed complete inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684591 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Eadie Hofstee model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684592 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Hanes Woolf model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684593 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and mixed complete inhibition - Lineweaver Burk model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684594 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Dixon model - steady state assumption)"@en ; ; ; , , , , , , , ; ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684595 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684596 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Eadie Hofstee model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684597 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Hanes Woolf model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684598 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and non-competitive complete inhibition - Lineweaver Burk model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684599 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Dixon model - steady state assumption)"@en ; ; ; , , , , , , ; ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684600 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , ; , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684601 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Eadie Hofstee model - steady state assumption)"@en ; ; ; , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684602 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Hanes Woolf model - steady state assumption)"@en ; ; ; , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684603 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (uni uni reaction without product and uncompetitive complete inhibition - Lineweaver Burk model - steady state assumption)"@en ; ; ; , , , , , , ; , ; "linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684604 rdf:type owl:NamedIndividual , ; rdfs:label "quantum conditional quasi-solvability"@en ; "For certain Hamiltonians, the concept of Conditional Quasi-Solvability holds: There are exact solutions of the time-independent Schrödinger equation for a certain number of low-lying quantum states (quasi-exact solvability), if and only if certain relations of the parameters of the Hamiltonian hold (conditionally exact solvability). For examples with trigonometric and hyperbolic potentials, see the annotating DOIs."@en ; ; ; , , , , , , , , ; , , , , ; "exact solutions of the time-independent Schrödinger equation for a certain number of low-lying states if certain relations of the parameters hold"@en . ### https://portal.mardi4nfdi.de/entity/Q6684605 rdf:type owl:NamedIndividual , ; rdfs:label "mathematical analysis of DHW equation"@en ; ; ; ; "mathematical analysis of Darwin Howie Whelan equation for the scattering of fast electrons described by the Schrödinger equation."@en . ### https://portal.mardi4nfdi.de/entity/Q6684606 rdf:type owl:NamedIndividual , ; rdfs:label "maximizing Poisson log-likelihood"@en ; ; ; , , , , , , , ; ; "maximizing Poisson log-likelihood of mortality models"@en . ### https://portal.mardi4nfdi.de/entity/Q6684607 rdf:type owl:NamedIndividual , ; rdfs:label "maximum likelihood estimation"@en ; ; "Q1045555"@en ; ; ; ; "maximum likelihood estimation"@en ; "estimating the parameters of a statistical model to fit given observations"@en . ### https://portal.mardi4nfdi.de/entity/Q6684608 rdf:type owl:NamedIndividual , ; rdfs:label "model order reduction"@en ; ; "Q12202921"@en ; "After spatial discretization of PDEa, solving the resulting large-scale systems of ODEs can therefore become incredibly time-consuming. Developed from well established mathematical theory and robust numerical algorithms, Model Order Reduction (MOR) has been recognized as very efficient for reducing the simulation time of large-scale systems."@en ; ; ; , , , , , ; ; ; "technique in mathematical modeling to effectively reduce the dimensionality of a model"@en . ### https://portal.mardi4nfdi.de/entity/Q6684609 rdf:type owl:NamedIndividual , ; rdfs:label "near field radiation"@en ; "The near field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Non-radiative near-field behaviors dominate close to the antenna or scatterer."@en ; ; ; , , ; "electromagnetic radiation behaviors that predominate at shorter distances"@en . ### https://portal.mardi4nfdi.de/entity/Q6684610 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction with product - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "nonlinear fit to determine the limiting reaction rates and michaelis constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684611 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and competitive partial inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684612 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and mixed partial inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684613 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and non-competitive partial inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants"@en . ### https://portal.mardi4nfdi.de/entity/Q6684614 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (uni uni reaction without product and uncompetitive partial inhibition - Michaelis Menten model - steady state assumption)"@en ; ; ; , , , , , , , ; , ; "nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6684615 rdf:type owl:NamedIndividual , ; rdfs:label "Romanization parameter estimation"@en ; ; ; , , , , , ; "given a set of data points the contact network and time-dependent spreading rate are determined"@en . ### https://portal.mardi4nfdi.de/entity/Q6684616 rdf:type owl:NamedIndividual , ; rdfs:label "Romanization time evolution"@en ; ; ; , , , , ; "given a set of initially infected cities, a contact network, and a time-dependent spreading rate, the spreading curve for the romanization is calculated"@en . ### https://portal.mardi4nfdi.de/entity/Q6684617 rdf:type owl:NamedIndividual , ; rdfs:label "semiconductor thermodynamic equilibrium"@en ; "Defines semiconductor thermodynamic equilibrium as the solution of the nonlinear Poisson equation. The resulting electrostatic potential is the built-in potential, for which drift and diffusion currents exactly balance each other, yielding zero net current."@en ; ; ; , , , , ; ; "thermodynamic equilibrium in semiconductors corresponding to zero net current defined by nonlinear Poisson equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684618 rdf:type owl:NamedIndividual , ; rdfs:label "semiconductor current voltage"@en ; "In simulations of semiconductor devices, one is usually interested in IV-curves displaying the current voltage charateristics, i.e., the dependence of terminal currents on applied voltages. Therefore, calculating terminal currents accurately is crucial to a successful postprocessing of the simulated field data."@en ; ; ; ; "calculating IV-curves displaying the current voltage charateristics of a semiconductor device"@en . ### https://portal.mardi4nfdi.de/entity/Q6684619 rdf:type owl:NamedIndividual , ; rdfs:label "simulation of TEM images"@en ; ; ; , ; "simulating TEM (transmission electron microscopy) images by means of the Darwin Howie Whelan equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684620 rdf:type owl:NamedIndividual , ; rdfs:label "sorting objects"@en ; ; ; , , , , , , , , , , , , , ; "sort objects via their characteristics"@en . ### https://portal.mardi4nfdi.de/entity/Q6684621 rdf:type owl:NamedIndividual , ; rdfs:label "symmetry analysis in TEM images"@en ; ; ; ; "symmetry analysis of TEM (Transmission Electron Microscopy) images of crystals with strain"@en . ### https://portal.mardi4nfdi.de/entity/Q6684622 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction"@en ; ; ; , , , , , , ; "reaction catalyzed by a single enzyme in which two substrates and two products are involved"@en . ### https://portal.mardi4nfdi.de/entity/Q6684623 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction following ping pong mechanism"@en ; ; ; ; , , , ; "bi bi reaction with a ping pong mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6684624 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ping pong mechanism with product 1"@en ; ; ; ; ; "initial rate of ping pong bi bi reaction with product 1"@en . ### https://portal.mardi4nfdi.de/entity/Q6684625 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ping pong mechanism with product 2"@en ; ; ; ; ; "initial rate of ping pong bi bi reaction with product 2"@en . ### https://portal.mardi4nfdi.de/entity/Q6684626 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ping pong mechanism with products 1 and 2"@en ; ; ; ; , , ; "initial rate of ping pong bi bi reaction with products 1 and 2"@en . ### https://portal.mardi4nfdi.de/entity/Q6684627 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ping pong mechanism without products"@en ; ; ; ; "initial rate of ping pong bi bi reaction without products"@en . ### https://portal.mardi4nfdi.de/entity/Q6684628 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism with product 1"@en ; ; ; ; "initial rate of ordered bi bi reaction with product 1"@en . ### https://portal.mardi4nfdi.de/entity/Q6684629 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism with product 1 and single central complex"@en ; ; ; ; "initial rate of ordered bi bi reaction with product 1 and Single Central complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6684630 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism with product 2"@en ; ; ; ; "initial rate of ordered bi bi reaction with product 2"@en . ### https://portal.mardi4nfdi.de/entity/Q6684631 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism with product 2 and single central complex"@en ; ; ; ; "initial rate of ordered bi bi reaction with product 2 and Single Central complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6684632 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2"@en ; ; ; ; "initial rate of ordered bi bi reaction with products 1 and 2"@en . ### https://portal.mardi4nfdi.de/entity/Q6684633 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism with products 1 and 2 and single central complex"@en ; ; ; ; "initial rate of ordered bi bi reaction with products 1 and 2 and Single Central complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6684634 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism without products"@en ; ; ; ; "initial rate of ordered bi bi reaction without products"@en . ### https://portal.mardi4nfdi.de/entity/Q6684635 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following ordered mechanism without products and single central complex"@en ; ; ; ; "initial rate of ordered bi bi reaction without products and Single Central complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6684636 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction following ordered mechanism"@en ; ; ; ; , , , ; "bi bi reaction with an ordered mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6684637 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction following ordered mechanism with single central complex"@en ; ; ; ; , , , ; "bi bi reaction with an ordered mechanism and Single Central Complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6684638 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1"@en ; ; ; ; , ; "initial rate of Theorell-Chance bi bi reaction with product 1"@en . ### https://portal.mardi4nfdi.de/entity/Q6684639 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 2"@en ; ; ; ; , ; "initial rate of Theorell-Chance bi bi reaction with product 2"@en . ### https://portal.mardi4nfdi.de/entity/Q6684640 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following Theorell-Chance mechanism with product 1 and 2"@en ; ; ; ; , ; "initial rate of Theorell-Chance bi bi reaction with products 1 and 2"@en . ### https://portal.mardi4nfdi.de/entity/Q6684641 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of bi bi reaction following Theorell-Chance mechanism without products"@en ; ; ; ; , ; "initial rate of Theorell-Chance bi bi reaction without products"@en . ### https://portal.mardi4nfdi.de/entity/Q6684642 rdf:type owl:NamedIndividual , ; rdfs:label "bi bi reaction following Theorell-Chance mechanism"@en ; ; ; ; , ; "bi bi reaction with a Theorell-Chance mechanism"@en . ### https://portal.mardi4nfdi.de/entity/Q6684643 rdf:type owl:NamedIndividual , ; rdfs:label "muscle contraction"@en ; ; "Q127006"@en ; ; ; , , ; "process in which force is generated within muscle tissue, resulting in a change in muscle geometry"@en . ### https://portal.mardi4nfdi.de/entity/Q6684644 rdf:type owl:NamedIndividual , ; rdfs:label "charge transport"@en ; ; ; ; "transport of electric charge"@en . ### https://portal.mardi4nfdi.de/entity/Q6684645 rdf:type owl:NamedIndividual , ; rdfs:label "molecular dynamics simulation"@en ; ; "Q901663"@en ; ; ; , , , , , ; ; "physical movements of atoms and molecules in a gas, a liquid, a solid, etc"@en . ### https://portal.mardi4nfdi.de/entity/Q6684646 rdf:type owl:NamedIndividual , ; rdfs:label "molecular reaction dynamics"@en ; "Although there were first attempts in the 1930s (first trajectory calculations for H+H2 reaction calculated by Polanyi in Berlin-Dahlem), this field has strongy evolved since the 1970s and 1980s with the upcoming of short laser pulses."@en ; ; ; , , , ; , ; "branch of physical chemistry that deals with observing and understang chemical reactions in real time and on an atomistic basis"@en . ### https://portal.mardi4nfdi.de/entity/Q6684647 rdf:type owl:NamedIndividual , ; rdfs:label "molecular spectroscopy (transient)"@en ; "This discipline evolved since the 1980s, with the upcoming of pico-second, femto-second and eventually even atto-second laser pulses."@en ; ; ; , , , , , ; "observing molecular dynamics by spectroscopy in real time"@en . ### https://portal.mardi4nfdi.de/entity/Q6684648 rdf:type owl:NamedIndividual , ; rdfs:label "spreading of infectious diseases"@en ; ; ; , , , , , , , , , , , , , ; "spreading of diseases"@en . ### https://portal.mardi4nfdi.de/entity/Q6684649 rdf:type owl:NamedIndividual , ; rdfs:label "flow in porous media"@en ; ; ; ; "flow of an incompressible fluid through a porous medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6684650 rdf:type owl:NamedIndividual , ; rdfs:label "free flow coupled to porous media flow"@en ; "Systems where free flow interacts with permeable media are important in many areas. Examples include soil water evaporation in environmental science, exchange between blood vessels in medicine or water management in fuel cells. To understand these processes, it is necessary to capture the interaction between the two flow regions. In this specific case we consider a stationary, single-phase flow where creeping Stokes flow describes the free-flow region and Darcy’s law governs the porous medium."@en ; ; ; ; :File:FreeFlowPorousDomain.png ; ; "coupled systems of free flow of an incompressible fluid adjacent to permeable media"@en . ### https://portal.mardi4nfdi.de/entity/Q6684651 rdf:type owl:NamedIndividual , ; rdfs:label "free flow of an incompressible fluid"@en ; ; ; ; ; "free flow of an incompressible fluid (e.g. gas or liquid)"@en . ### https://portal.mardi4nfdi.de/entity/Q6684652 rdf:type owl:NamedIndividual , ; rdfs:label "charge transport in semiconductor devices"@en ; ; ; ; "flow of electrical charge carriers coupled to electrostatic potential distribution in semiconductor devices"@en . ### https://portal.mardi4nfdi.de/entity/Q6684653 rdf:type owl:NamedIndividual , ; rdfs:label "mortality modeling"@en ; ; ; ; ; "science of determining likely future mortality rates"@en . ### https://portal.mardi4nfdi.de/entity/Q6684654 rdf:type owl:NamedIndividual , ; rdfs:label "efficient numerical simulation of soil-tool interaction"@en ; ; ; ; ; "computational method for efficient simulation of soil-tool interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684655 rdf:type owl:NamedIndividual , ; rdfs:label "electromagnetic field"@en ; ; "Q177625"@en ; "Given the initial fields E(r, t = 0) and B(r, t = 0), given full charge density ρ(r, t) and the current density j(r, t), find the electric and magnetic fields, E(r, t) and B(r, t)."@en ; ; ; , ; ; "physical fields produced by electrically charged objects"@en . ### https://portal.mardi4nfdi.de/entity/Q6684656 rdf:type owl:NamedIndividual , ; rdfs:label "gravitational effects on fruit"@en ; ; ; , , ; ; "studying how fruits are falling from trees, which supposedly inspired Newton's law of gravitation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684657 rdf:type owl:NamedIndividual , ; rdfs:label "heat transport"@en ; ; ; ; "transfer of heat can be classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684658 rdf:type owl:NamedIndividual , ; rdfs:label "identify destruction rules in ancient Egyptian objects"@en ; "Common destruction patterns in ancient Egyptian objects from the 'Cachette de Karnak' suggest that specific rules govern these occurrences."@en ; ; ; ; "identification of rules or patterns of destruction"@en . ### https://portal.mardi4nfdi.de/entity/Q6684659 rdf:type owl:NamedIndividual , ; rdfs:label "image denoising"@en ; "Q108033749"@en ; ; ; ; "removal of noise from images"@en . ### https://portal.mardi4nfdi.de/entity/Q6684660 rdf:type owl:NamedIndividual , ; rdfs:label "imaging of nanostructures"@en ; "We present a mathematical model and a tool chain for the numerical simulation of transmission electron microscopy (TEM) images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin–Howie–Whelan equations, describing the propagation of the electron wave through the sample. This tool chain can be applied to generate a database of simulated transmission electron microscopy (TEM) images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques."@en ; ; ; ; , ; ; "mathematical model for transmission electron microscopy of nanostructures"@en . ### https://portal.mardi4nfdi.de/entity/Q6684661 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction with product"@en ; ; ; ; ; "initial rate of uni uni reaction with product"@en . ### https://portal.mardi4nfdi.de/entity/Q6684662 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product"@en ; ; ; , , , , , , , , , , , , ; "initial rate of uni uni reaction without product"@en . ### https://portal.mardi4nfdi.de/entity/Q6684663 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction"@en ; ; ; ; ; "reaction catalyzed by an enzyme in which one substrate and one product is involved"@en . ### https://portal.mardi4nfdi.de/entity/Q6684664 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and competitive complete inhibition"@en ; ; ; , , , , ; "initial rate of uni uni reaction without product and competitive complete inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684665 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and competitive partial inhibition"@en ; ; ; ; "initial rate of uni uni reaction without product and competitive partial inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684666 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and mixed complete inhibition"@en ; ; ; , , , , ; "initial rate of uni uni reaction without product and mixed complete inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684667 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and mixed partial inhibition"@en ; ; ; ; "initial rate of uni uni reaction without product and mixed partial inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684668 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and non-competitive complete inhibition"@en ; ; ; , , , , ; "initial rate of uni uni reaction without product and non-competitive complete inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684669 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and non-competitive partial inhibition"@en ; ; ; ; "initial rate of uni uni reaction without product and non-competitive partial inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684670 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and uncompetitive complete inhibition"@en ; ; ; , , , , ; "initial rate of uni uni reaction without product and uncompetitive complete inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684671 rdf:type owl:NamedIndividual , ; rdfs:label "initial reaction rate of uni uni reaction without product and uncompetitive partial inhibition"@en ; ; ; ; "initial rate of uni uni reaction without product and uncompetitive partial inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684672 rdf:type owl:NamedIndividual , ; rdfs:label "Romanization spreading in northern Tunisia"@en ; "Understanding the mechanisms and dynamics of Romanization spreading in Northern Tunisia from 146 BC to 350 AD based on sparse and fragmented archaeological data."@en ; ; ; ; ; "understanding the mechanisms and dynamics of Romanization spreading in northern Tunisia"@en . ### https://portal.mardi4nfdi.de/entity/Q6684673 rdf:type owl:NamedIndividual , ; rdfs:label "line planning"@en ; ; ; ; ; ; "choosing subset of lines from line pool to generate a line plan afterwards"@en . ### https://portal.mardi4nfdi.de/entity/Q6684674 rdf:type owl:NamedIndividual , ; rdfs:label "particles in electromagnetic fields"@en ; ; ; , ; "motion of charged particles subject to an electric and/or magnetic fields, e.g. in a cathode ray tube, in an ion trap, or in a mass spectrometer"@en . ### https://portal.mardi4nfdi.de/entity/Q6684675 rdf:type owl:NamedIndividual , ; rdfs:label "molecular rotation"@en ; ; "Q1234926"@en ; "Often, molecules are assumed to rotate like rigid bodies, but there can also be centrifugal distortion."@en ; ; ; , , , , ; ; "rotation of a molecule about its center of mass"@en . ### https://portal.mardi4nfdi.de/entity/Q6684676 rdf:type owl:NamedIndividual , ; rdfs:label "molecular spectroscopy"@en ; "Q1943412"@en ; "Rotations are collective motions of the atomic nuclei and typically lead to spectra in the microwave and millimeter-wave spectral regions. Vibrations are relative motions of the atomic nuclei and are studied by both infrared and Raman spectroscopy. Electronic excitations are studied using visible and ultraviolet spectroscopy as well as fluorescence spectroscopy."@en ; ; ; , , , ; "measurement (or simulation) of interactions between electromagnetic waves and matter"@en . ### https://portal.mardi4nfdi.de/entity/Q6684677 rdf:type owl:NamedIndividual , ; rdfs:label "molecular spectrosopy (stationary)"@en ; "For example, molecular vibrational states can be detected by infrared or Raman spectroscopy."@en ; ; ; , , , ; "studying molecular energy levels by stationary, i.e. time-independent molecular spectrosopy"@en . ### https://portal.mardi4nfdi.de/entity/Q6684678 rdf:type owl:NamedIndividual , ; rdfs:label "molecular vibration"@en ; ; "Q900121"@en ; "Often modeled within the harmonic approximation, but there can be also effects of anharmonicity."@en ; ; ; , , , , , , , ; "periodic motion of the atoms of a molecule around their equilibrium positions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684679 rdf:type owl:NamedIndividual , ; rdfs:label "opinion dynamics"@en ; ; ; , ; "modelling opinion dynamics under the impact of influencer and media strategies"@en . ### https://portal.mardi4nfdi.de/entity/Q6684680 rdf:type owl:NamedIndividual , ; rdfs:label "poro-visco-elastic evolution"@en ; "This is relevant in many applications in thermo-mechanics, solid-state batteries, poroelasticity in biological tissue, hydrogen storage, and elastomeric materials."@en ; ; ; ; ; "simulation of coupled mechanical deformation of solids to other physical processes such as heat conduction or diffusion of chemical species"@en . ### https://portal.mardi4nfdi.de/entity/Q6684681 rdf:type owl:NamedIndividual , ; rdfs:label "solar system mechanics"@en ; ; ; ; , , ; "study of the motion of the planets within our solar system"@en . ### https://portal.mardi4nfdi.de/entity/Q6684682 rdf:type owl:NamedIndividual , ; rdfs:label "sort ancient Egyptian objects"@en ; ; ; ; "sort ancient egyptian objects (research problem)"@en . ### https://portal.mardi4nfdi.de/entity/Q6684683 rdf:type owl:NamedIndividual , ; rdfs:label "species transport"@en ; ; ; ; "transport of chemical species in some substance"@en . ### https://portal.mardi4nfdi.de/entity/Q6684684 rdf:type owl:NamedIndividual , ; rdfs:label "transport of matter"@en ; ; ; ; , , , ; "transport of matter or of properties thereof"@en . ### https://portal.mardi4nfdi.de/entity/Q6684685 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with competitive complete inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme may bind an inhibitor (I) to form an enzyme-inhibitor complex (EI) with rates k₃ and k₋₃."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684686 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with reversible complete inhibition"@en ; "Uni Uni Reaction with reversible inhibition. The enzyme-inhibitor-substrate complex (EIS) cannot form product, the inhibition is thus complete."@en ; ; ; , , , ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684687 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with competitive partial inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. From the enzyme-inhibitor-substrate complex product is formed with rate k₂. Properly this is a mixed partial inhibition in which the inhibitor does not affect the turnover rate."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684688 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with reversible partial inhibition"@en ; "Uni Uni Reaction with reversible inhibition. The enzyme-inhibitor-substrate complex (EIS) can form product, the inhibition is thus partial."@en ; ; ; , , , ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684689 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with mixed complete inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. From the enzyme-inhibitor-substrate complex no product formation is possible, the inhibition is thus complete."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684690 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with mixed partial inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. From the enzyme-inhibitor-substrate complex product is formed with rate k₆."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684691 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with non-competitive complete inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. In the non-competitive case: k₃ = k₄, k₋₃ = k₋₄, k₅ = k₁, and k₋₅ = k₋₁. The enzyme-inhibitor-substrate complex cannot form product, the inhibition is thus complete."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684692 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with non-competitive partial inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with k₃ or k₋₃ and k₄ or k₋₄ as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates k₅ and k₋₅. In the non-competitive case: k₃ = k₄, k₋₃ = k₋₄, k₅ = k₁, and k₋₅ = k₋₁. The enzyme-inhibitor-substrate complex can form product with rate k₆."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684693 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with uncompetitive complete inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor-substrate complex (EIS) with rates k₄ and k₋₄. The enzyme-inhibitor-substrate complex cannot form product, the inhibition is thus complete."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684694 rdf:type owl:NamedIndividual , ; rdfs:label "uni uni reaction with uncompetitive partial inhibition"@en ; "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are k₁ and k₋₁, k₂ is the rate of the rate-determining enzymatic step of product formation. Enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor-substrate complex (EIS) with rates k₄ and k₋₄. The enzyme-inhibitor-substrate complex can form product with rate k₆."@en ; ; ; ; "uni uni reaction with inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6684695 rdf:type owl:NamedIndividual , ; rdfs:label "enzyme kinetics"@en ; ; "Q883112"@en ; ; ; , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , , ; ; ; "study of rates of enzyme-catalyzed reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684696 rdf:type owl:NamedIndividual , ; rdfs:label "biomechanics"@en ; ; "Q193378"@en ; ; ; ; ; "study of the structure and function of the mechanical aspects of biological systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6684697 rdf:type owl:NamedIndividual , ; rdfs:label "biophysics"@en ; ; "Q7100"@en ; ; ; ; ; , ; "study of biological systems using methods from the physical sciences"@en . ### https://portal.mardi4nfdi.de/entity/Q6684698 rdf:type owl:NamedIndividual , ; rdfs:label "celestial mechanics"@en ; ; "Q184274"@en ; "Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to produce ephemeris data."@en ; ; ; ; ; "branch of astronomy that deals with the motions of objects in outer space"@en . ### https://portal.mardi4nfdi.de/entity/Q6684699 rdf:type owl:NamedIndividual , ; rdfs:label "classical mechanics"@en ; ; "Q11397"@en ; ; ; , ; ; "classical mechanic"@en ; ; "sub-field of mechanics, which is concerned with the set of physical laws describing the motion of bodies under the action of a system of forces"@en . ### https://portal.mardi4nfdi.de/entity/Q6684700 rdf:type owl:NamedIndividual , ; rdfs:label "continuum mechanics"@en ; ; "Q193463"@en ; ; ; , , , , , , , , ; ; "continuum mechanic"@en ; ; "branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass"@en . ### https://portal.mardi4nfdi.de/entity/Q6684701 rdf:type owl:NamedIndividual , ; rdfs:label "chemical kinetics"@en ; ; "Q209082"@en ; ; ; ; ; ; "study of the rates of chemical reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684702 rdf:type owl:NamedIndividual , ; rdfs:label "civil engineering"@en ; ; "Q77590"@en ; ; ; ; ; ; "engineering discipline specializing in design, construction and maintenance of the built environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6684703 rdf:type owl:NamedIndividual , ; rdfs:label "social science"@en ; ; "Q34749"@en ; ; ; ; ; "academic sub-discipline concerned with computational approaches to the social sciences"@en . ### https://portal.mardi4nfdi.de/entity/Q6684704 rdf:type owl:NamedIndividual , ; rdfs:label "classical electromagnetism"@en ; ; "Q377930"@en ; "Branch of theoretical physics that studies electromagnetic fields, waves, and forces between electric charges and currents."@en ; ; ; , , ; ; "branch of theoretical physics that studies consequences of the electromagnetic forces between electric charges and currents"@en . ### https://portal.mardi4nfdi.de/entity/Q6684705 rdf:type owl:NamedIndividual , ; rdfs:label "epidemiology"@en ; ; "Q133805"@en ; ; ; ; ; "study of the patterns, causes, and effects of health and disease conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684706 rdf:type owl:NamedIndividual , ; rdfs:label "pomology"@en ; ; "Q35911"@en ; ; ; ; ; ; "branch of botany that studies fruits and their cultivation"@en . ### https://portal.mardi4nfdi.de/entity/Q6684707 rdf:type owl:NamedIndividual , ; rdfs:label "medical imaging"@en ; ; "Q931309"@en ; ; ; , ; ; "technique and process of creating visual representations of the interior of a body"@en . ### https://portal.mardi4nfdi.de/entity/Q6684708 rdf:type owl:NamedIndividual , ; rdfs:label "transmission electron microscopy"@en ; ; "Q110779037"@en ; "As such, Transmission Electron Microscopy (TEM) has become an indispensable experimental tool to examine objects in life sciences or in material sciences at nanoscales. See also WIAS annual report 2021"@en ; ; ; ; ; "uses the propagation of electron waves through magnetic lenses to create images of, e.g., the crystallographic structure of materials down to an atomic scale"@en . ### https://portal.mardi4nfdi.de/entity/Q6684709 rdf:type owl:NamedIndividual , ; rdfs:label "transportation planning"@en ; ; "Q1034047"@en ; ; ; ; ; ; ; "planning of transportation networks and traffic"@en . ### https://portal.mardi4nfdi.de/entity/Q6684710 rdf:type owl:NamedIndividual , ; rdfs:label "molecular physics"@en ; ; "Q489328"@en ; "Significant overlaps with physical chemistry, chemical physics, and quantum chemistry."@en ; ; ; , , , , , , ; ; ; "study of the physical properties of molecules and chemical reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6684711 rdf:type owl:NamedIndividual , ; rdfs:label "optimization in public transportation"@en ; ; ; ; ; "using mathematical models and algorithms to improve the efficiency and effectiveness of transportation systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6684712 rdf:type owl:NamedIndividual , ; rdfs:label "Roman archaeology"@en ; "Q44097629"@en ; ; ; ; ; "archaeological sub-discipline"@en . ### https://portal.mardi4nfdi.de/entity/Q6771923 rdf:type owl:NamedIndividual , ; rdfs:label "stochastic signalling of G‑protein coupled receptors model"@en ; ; ; , , , , , , , , , , , , ; ; "signalling pathway model from receptor activation over the G-protein cycle to the calcium channel inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6771924 rdf:type owl:NamedIndividual , ; "f1"@en , "k1"@en , "xL"@en , "xR"@en ; "f1=k1⋅xL⋅xR"@en ; rdfs:label "receptor–ligand complex creation"@en ; "A ligand L attaches to a receptor, R, in the membrane, resulting in a receptor–ligand complex RL. This binding process is dependent on the concentration of protons (i.e. pH) in the microenvironment of the receptor."@en ; ; ; "reaction resulting in a receptor–ligand complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xR"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6771928 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for receptor-ligand complex creation"@en ; ; ; "reaction constant for the creation of receptor-ligand complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6771929 rdf:type owl:NamedIndividual , ; rdfs:label "number of receptor molecules"@en ; ; ; "number of molecules of the receptor species"@en . ### https://portal.mardi4nfdi.de/entity/Q6771930 rdf:type owl:NamedIndividual , ; rdfs:label "number of ligand molecules"@en ; ; ; "number of molecules of the ligand species"@en . ### https://portal.mardi4nfdi.de/entity/Q6771931 rdf:type owl:NamedIndividual , ; rdfs:label "propensity function"@en ; "For each reaction, there is a propensity function giving the rate (probability per unit of time) for the reaction to occur depending on the system’s state."@en ; ; ; ; "propensity function giving the rate for a reaction to occur"@en . ### https://portal.mardi4nfdi.de/entity/Q6771932 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of receptor-ligand complex creation"@en ; ; ; "propensity function of receptor-ligand complex creation reaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6771933 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for dissociation into α- and βγ-subunits"@en ; ; ; "reaction constant for the dissociation into α- and βγ-subunits"@en . ### https://portal.mardi4nfdi.de/entity/Q6771934 rdf:type owl:NamedIndividual , ; rdfs:label "number of receptor-ligand complex molecules"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6771935 rdf:type owl:NamedIndividual , ; "f2"@en , "k2"@en , "xRL"@en , "xαGDPβγ"@en ; "f2=k2⋅xRL⋅xαGDPβγ"@en ; rdfs:label "dissociation into α- and βγ-subunits"@en ; "This receptor–ligand complex activates a trimeric G-protein complex which leads to exchange of GDP by GTP and subsequent dissociation into α- and βγ-subunits."@en ; ; ; "dissociation of G-protein into α- and βγ-subunits"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xRL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xαGDPβγ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6771936 rdf:type owl:NamedIndividual , ; rdfs:label "number of G-protein molecules"@en ; ; ; "number of molecules of G-protein"@en . ### https://portal.mardi4nfdi.de/entity/Q6771937 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of dissociation into α- and βγ-subunits"@en ; ; ; "propensity function of the dissociation into α- and βγ-subunits"@en . ### https://portal.mardi4nfdi.de/entity/Q6771938 rdf:type owl:NamedIndividual , ; "f3"@en , "k3"@en , "xαGTP"@en ; "f3=k3⋅xαGTP"@en ; rdfs:label "hydrolysis of GTP"@en ; "Along with the hydrolysis of GTP, another reaction partner M (e.g. arrestin) emerges."@en ; ; ; "hydrolysis reaction of GTP and emergence of a new reaction partner"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xαGTP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773486 rdf:type owl:NamedIndividual , ; "f4"@en , "k4"@en , "xM"@en , "xRL"@en ; "f4=k4⋅xRL⋅xM"@en ; rdfs:label "internalisation of receptor–ligand complex"@en ; ; ; "reaction partner initiates internalisation of the receptor–ligand complex"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xRL"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773487 rdf:type owl:NamedIndividual , ; "f5"@en , "k5"@en , "xCaon"@en , "xβγ"@en ; "f5=k5⋅xβγ⋅xCaon"@en ; rdfs:label "inhibition of membrane calcium channel"@en ; ; ; "βγ-subunit inhibits a membrane calcium channel by binding to it"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xCaon"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xβγ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773488 rdf:type owl:NamedIndividual , ; "f6"@en , "k6"@en , "xCaoff"@en , "xαGDP"@en ; "f6=k6⋅xαGDP⋅xCaoff"@en ; rdfs:label "reformation of G-protein complex and opening of calcium channel"@en ; "After dissociation of the βγ-subunit from the calcium channel, a trimeric G-protein complex is reformed, and the calcium channel is opened"@en ; ; ; "reformation of G-Protein complex and opening of the calcium channel"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f6"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k6"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xCaoff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xαGDP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773489 rdf:type owl:NamedIndividual , ; "f7"@en , "k7"@en , "xRLw"@en ; "f7=k7⋅xRLw"@en ; rdfs:label "internalised receptor recycled to the cell membrane"@en ; ; ; "internalised receptor is recycled to the cell membrane"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f7"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k7"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xRLw"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773490 rdf:type owl:NamedIndividual , ; "f8"@en , "k8"@en , "xRLw"@en ; "f8=k8⋅xRLw"@en ; rdfs:label "degradation of internalised receptor"@en ; ; ; "degradation of Internalised receptor"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f8"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k8"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xRLw"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773491 rdf:type owl:NamedIndividual , ; "f9"@en , "k9"@en , "xM"@en ; "f9=k9⋅xM"@en ; rdfs:label "degradation of the reaction partner"@en ; ; ; "reaction partner M can itself be degraded"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f9"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k9"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xM"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773492 rdf:type owl:NamedIndividual , ; "f10"@en , "k10"@en , "xL"@en ; "f10=k10⋅xL"@en ; rdfs:label "vanishing of ligand"@en ; "The ligand L can vanish before it binds to the receptor, e.g. by degradation or unspecific binding to other extracellular components or it is degraded intracellularly"@en ; ; ; "reaction describing the vanishing of the ligand"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f10"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k10"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xL"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773493 rdf:type owl:NamedIndividual , ; "f11"@en , "k11"@en , "xR"@en , "xαGDPβγ"@en ; "f11=k11⋅xR⋅xαGDPβγ"@en ; rdfs:label "G-protein activation"@en ; "The constitutive G-protein activation, where we simply use R2 without ligand. That is, we model the constitutive binding reaction as a net reaction consisting of first the switching of GTP and GDP, followed by the dissociation of the βγ-subunit from the GPCR complex."@en ; ; ; "reaction describing the constitutive G-protein activation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f11"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k11"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "xαGDPβγ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773595 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for hydrolysis of GTP"@en ; ; ; "reaction constant used in the hydrolysis of GTP"@en . ### https://portal.mardi4nfdi.de/entity/Q6773596 rdf:type owl:NamedIndividual , ; rdfs:label "number of alpha subunits (with GTP attached)"@en ; ; ; "number of alpha subunits with GTP attached"@en . ### https://portal.mardi4nfdi.de/entity/Q6773597 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of hydrolysis of GTP"@en ; ; ; "propensity for the Hydrolysis of GTP"@en . ### https://portal.mardi4nfdi.de/entity/Q6773598 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for internalisation of receptor–ligand complex"@en ; ; ; "reaction constant for Internalisation of Receptor–Ligand Complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6773599 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of internalisation of receptor–ligand complex"@en ; ; ; "propensity of Internalisation of Receptor–Ligand Complex"@en . ### https://portal.mardi4nfdi.de/entity/Q6773600 rdf:type owl:NamedIndividual , ; rdfs:label "number of reaction partner molecules"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6773601 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for inhibition of membrane calcium channel"@en ; ; ; "reaction constant for Inhibition of Membrane Calcium Channel reaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6773602 rdf:type owl:NamedIndividual , ; rdfs:label "number of βγ molecules"@en ; ; ; "number of βγ Molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6773603 rdf:type owl:NamedIndividual , ; rdfs:label "number of active calcium channels"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6773604 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of inhibition of membrane calcium channel"@en ; ; ; "propensity of Inhibition of Membrane Calcium Channel"@en . ### https://portal.mardi4nfdi.de/entity/Q6773605 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for reformation of G-protein complex and opening of calcium channel"@en ; ; ; "reaction constant for Reformation of G-Protein Complex and Opening of Calcium Channel"@en . ### https://portal.mardi4nfdi.de/entity/Q6773606 rdf:type owl:NamedIndividual , ; rdfs:label "number of alpha subunits (loaded with GDP)"@en ; ; ; "number of alpha subunits loaded with GDP"@en . ### https://portal.mardi4nfdi.de/entity/Q6773607 rdf:type owl:NamedIndividual , ; rdfs:label "number of inactive calcium channels"@en ; ; ; "number of Inactive Calcium Channels"@en . ### https://portal.mardi4nfdi.de/entity/Q6773608 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of reformation of G-protein complex and opening of calcium channel"@en ; ; ; "propensity of Reformation of G-Protein Complex and Opening of Calcium Channel"@en . ### https://portal.mardi4nfdi.de/entity/Q6773609 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for internalised receptor recycled to the cell membrane"@en ; ; ; "reaction constant for Internalised Receptor recycled to the cell membrane"@en . ### https://portal.mardi4nfdi.de/entity/Q6773610 rdf:type owl:NamedIndividual , ; rdfs:label "number of internalised receptor"@en ; ; ; "number of Internalised Receptor molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6773611 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of internalised receptor recycled to the cell membrane"@en ; ; ; "propensity of reaction describing the Internalised Receptor being recycled to the cell membrane"@en . ### https://portal.mardi4nfdi.de/entity/Q6773612 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for degradation of internalised receptor"@en ; ; ; "reaction constant for the Degradation of Internalised Receptor"@en . ### https://portal.mardi4nfdi.de/entity/Q6773613 rdf:type owl:NamedIndividual , ; rdfs:label "propensity for the degradation of internalised receptor"@en ; ; ; "Propensity for the reaction describing the degradation of Internalised Receptor"@en . ### https://portal.mardi4nfdi.de/entity/Q6773614 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for the degradation of the reaction partner"@en ; ; ; "reaction constant for the Degradation of the Reaction Partner"@en . ### https://portal.mardi4nfdi.de/entity/Q6773615 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of degradation of the reaction partner"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6773616 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for the vanishing of ligand"@en ; ; ; "reaction constant for the Vanishing of Ligand"@en . ### https://portal.mardi4nfdi.de/entity/Q6773617 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of the vanishing of ligand"@en ; ; ; "propensity of the Vanishing of Ligand"@en . ### https://portal.mardi4nfdi.de/entity/Q6773618 rdf:type owl:NamedIndividual , ; rdfs:label "reaction constant for G-protein activation"@en ; ; ; "reaction constant for G-protein Activation"@en . ### https://portal.mardi4nfdi.de/entity/Q6773619 rdf:type owl:NamedIndividual , ; rdfs:label "propensity of G-protein activation"@en ; ; ; "propensity of G-protein Activation"@en . ### https://portal.mardi4nfdi.de/entity/Q6773620 rdf:type owl:NamedIndividual , ; rdfs:label "state of system vector"@en ; ; ; "vector describing the state of the system"@en . ### https://portal.mardi4nfdi.de/entity/Q6773621 rdf:type owl:NamedIndividual , ; rdfs:label "stoichiometric vectors"@en ; "For each reaction there is a stoichiometric vector defining the net change in the population state. Containing -1, 1 or 0 for when the entity is consumed, produced ot neither respectively. The values are in the same order as the Set of species"@en ; ; ; "stoichiometric vectors relating to reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6773622 rdf:type owl:NamedIndividual , ; "x"@en , "vj"@en ; "x↦x+vj"@en ; rdfs:label "jump in the system state"@en ; ; ; "jump in the system state each time a reaction occours"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vj"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773623 rdf:type owl:NamedIndividual , ; "t"@en , "𝑿(t)"@en , "𝒙"@en ; "p(𝒙,t):=ℙ(𝑿(t)=𝒙∣𝑿(0)=𝒙0)"@en ; rdfs:label "system state probability"@en ; ; ; "probability of a dynamic system being in a particular state at a specific time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝑿(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒙"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773624 rdf:type owl:NamedIndividual , ; "X(t)"@en , "p(x,t)"@en , "x"@en , "fj"@en , "vj"@en ; "ddtp(𝒙,t)=∑j=111[fj(𝒙−𝒗j)p(𝒙−𝒗j,t)−fj(𝒙)p(𝒙,t)]"@en ; rdfs:label "standard chemical master equation"@en ; ; ; "equation describing the overall dynamics of the signalling of G‑protein coupled receptors"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p(x,t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "fj"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vj"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773625 rdf:type owl:NamedIndividual , ; "t"@en , "𝒮"@en ; "(X(t))t≥0,whereX(t)=(XS(t))S∈𝒮"@en ; rdfs:label "Markov jump process"@en ; ; ; , ; ; "Markov jump process used in the signalling of G‑protein coupled receptors model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒮"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773626 rdf:type owl:NamedIndividual , ; rdfs:label "propensity functions for the signalling of g‑protein coupled receptors reactions"@en ; ; ; , , , , , , , , , , ; "propensity functions for the signalling of G‑protein coupled receptors reactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6773627 rdf:type owl:NamedIndividual , ; rdfs:label "deterministic signalling of G‑protein coupled receptors model"@en ; ; ; ; ; "deterministic version of the signalling of G‑protein coupled receptors model"@en . ### https://portal.mardi4nfdi.de/entity/Q6773628 rdf:type owl:NamedIndividual , ; "C(x)"@en , "t"@en , "fj"@en , "vj"@en ; "ddt𝑪(t)=∑j=111fj(𝑪(t))𝝂j"@en ; rdfs:label "deterministic reaction system equation"@en ; ; ; "deterministic ordinary differential equation describing reaction system for sinalling of G-protein"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "fj"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vj"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6773629 rdf:type owl:NamedIndividual , ; "V"@en , "t"@en , "𝑿(t)"@en ; "𝑪(t)=1V𝑿(t)"@en ; rdfs:label "concentrations of reaction entities"@en ; ; ; "concentrations of reaction entities used in the deterministic signalling of G-protein model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝑿(t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6774813 rdf:type owl:NamedIndividual , ; "Caoff"@en , "Caon"@en , "L"@en , "M"@en , "R"@en , "RL"@en , "RLw"@en , "βγ"@en , "αGDP"@en , "αGDPβγ"@en , "αGTP"@en ; "𝒮:={L,R,RL,RLw,αGDPβγ,αGDP,αGTP,βγ,M,Caon,Caoff}"@en ; rdfs:label "set of species"@en ; ; ; "set of species under consideration in the signalling of G-protein"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Caoff"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Caon"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RLw"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βγ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αGDP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αGDPβγ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "αGTP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6774833 rdf:type owl:NamedIndividual , ; rdfs:label "ligand"@en ; ; ; "ligand as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774835 rdf:type owl:NamedIndividual , ; rdfs:label "receptor"@en ; ; ; "receptor as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774836 rdf:type owl:NamedIndividual , ; rdfs:label "receptor-ligand complex"@en ; ; ; "receptor-ligand complex as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774841 rdf:type owl:NamedIndividual , ; rdfs:label "internalised receptor"@en ; ; ; "internalised receptor as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774843 rdf:type owl:NamedIndividual , ; rdfs:label "G-protein"@en ; ; ; "G-protein as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774845 rdf:type owl:NamedIndividual , ; rdfs:label "alpha subunits (GTP attached)"@en ; ; ; "alpha subunits with GTP attached"@en . ### https://portal.mardi4nfdi.de/entity/Q6774847 rdf:type owl:NamedIndividual , ; rdfs:label "alpha subunits loaded with GDP"@en ; ; ; "alpha subunits loaded with GDP as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774849 rdf:type owl:NamedIndividual , ; rdfs:label "βγ molecules"@en ; ; ; , ; "beta-gamma molecule species"@en . ### https://portal.mardi4nfdi.de/entity/Q6774852 rdf:type owl:NamedIndividual , ; rdfs:label "reaction partner"@en ; ; ; "reaction partner as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774854 rdf:type owl:NamedIndividual , ; rdfs:label "active calcium channels"@en ; ; ; "active calcium channels as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6774856 rdf:type owl:NamedIndividual , ; rdfs:label "inactive calcium channels"@en ; ; ; "inctive calcium channels as a species of molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6775292 rdf:type owl:NamedIndividual , ; rdfs:label "materials science"@en ; ; "Q228736"@en ; ; ; , ; ; "research, discovery and design of physical materials (especially solids)"@en . ### https://portal.mardi4nfdi.de/entity/Q6775293 rdf:type owl:NamedIndividual , ; rdfs:label "strength of materials"@en ; ; "Q240553"@en ; ; ; ; ; "methods of calculating displacements, stresses, and strains in deformable bodies"@en . ### https://portal.mardi4nfdi.de/entity/Q6775294 rdf:type owl:NamedIndividual , ; rdfs:label "prototypical concrete structures"@en ; ; ; ; "calculating the stresses and strains of various concrete structures such as beams, columns, and shafts"@en . ### https://portal.mardi4nfdi.de/entity/Q6775295 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole"@en ; ; "A plate with a hole can refer to various things, including a structural element with a pre-formed opening, a component used for anchoring or connecting, or a surface imperfection like a void or pop-out. The specific context determines the implications of the hole and its impact on the concrete's behavior or function. (AI within a Google search)"@en ; ; ; ; , , ; :File:Elastic_plate_with_hole_tension.png ; ; ; ; "simulating the strength of a plate with a cylindrical hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6775296 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: linear elasticity model"@en ; ; ; ; , , , , ; ; , , , , , , ; :File:Elastic_plate_with_hole_tension.png ; ; ; "linearly elastic model of a concrete plate with a hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6775324 rdf:type owl:NamedIndividual , ; rdfs:label "compartment size"@en ; ; ; "domain is divided into K compartments of size h"@en . ### https://portal.mardi4nfdi.de/entity/Q6775325 rdf:type owl:NamedIndividual , ; rdfs:label "signal"@en ; "Subscript denotes the compartment."@en ; ; ; "molecules of Signal (species of molecules) in the Standard Compartment-Based Morphogen Gradient Model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775326 rdf:type owl:NamedIndividual , ; rdfs:label "evaluations posterior predictive distribution"@en ; ; ; "evaluation points: X = (xᵢ)ᵢ₌₁ⁿ and evaluations Y = (yᵢ)ᵢ₌₁ⁿ = (f(xᵢ))ᵢ₌₁ⁿ for the posterior predictive distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6775327 rdf:type owl:NamedIndividual , ; rdfs:label "approximation predictive distribution"@en ; ; ; "approximation to predictive distribution p(y ∣ x, X, Y) at point x"@en . ### https://portal.mardi4nfdi.de/entity/Q6775328 rdf:type owl:NamedIndividual , ; rdfs:label "area of image"@en ; ; ; "area of image, to be used in image processing methods"@en . ### https://portal.mardi4nfdi.de/entity/Q6775329 rdf:type owl:NamedIndividual , ; rdfs:label "attenuation distribution"@en ; ; ; "distribution of attenuation coefficients"@en . ### https://portal.mardi4nfdi.de/entity/Q6775330 rdf:type owl:NamedIndividual , ; rdfs:label "length scale of attractive forces"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775331 rdf:type owl:NamedIndividual , ; rdfs:label "length scale of repulsive forces"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775332 rdf:type owl:NamedIndividual , ; rdfs:label "strength of attractive forces"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775333 rdf:type owl:NamedIndividual , ; rdfs:label "strength of repulsive forces"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775334 rdf:type owl:NamedIndividual , ; rdfs:label "average number of molecules of morphogen"@en ; "Subscript i denotes the i-th compartment."@en ; ; ; "average number of molecules of species B"@en . ### https://portal.mardi4nfdi.de/entity/Q6775335 rdf:type owl:NamedIndividual , ; rdfs:label "average number of molecules of signal"@en ; "Subscript i denotes the i-th compartment."@en ; ; ; "average number of molecules of species A"@en . ### https://portal.mardi4nfdi.de/entity/Q6775336 rdf:type owl:NamedIndividual , ; rdfs:label "normal vector"@en ; "Q56353263"@en ; ; ; ; ; "vector perpendicular to a plane"@en . ### https://portal.mardi4nfdi.de/entity/Q6775337 rdf:type owl:NamedIndividual , ; rdfs:label "scattering cross section"@en ; ; "Q4843854"@en ; ; ; "scattering cross section"@en ; "measure of the probability that a specific process will take place in a collision of two particles"@en . ### https://portal.mardi4nfdi.de/entity/Q6775338 rdf:type owl:NamedIndividual , ; rdfs:label "radiant intensity"@en ; ; "Q1253365"@en ; ; ; "RadiantIntensity"@en ; ; "intensity of the radiant power in relation to the solid angle"@en . ### https://portal.mardi4nfdi.de/entity/Q6775339 rdf:type owl:NamedIndividual , ; rdfs:label "coefficient simulation behavior prediction global"@en ; ; ; "coefficient of the a global prediction model for simulation behavior prediction"@en . ### https://portal.mardi4nfdi.de/entity/Q6775341 rdf:type owl:NamedIndividual , ; rdfs:label "compartment size for a"@en ; ; ; "Compartment Size For species A"@en . ### https://portal.mardi4nfdi.de/entity/Q6775342 rdf:type owl:NamedIndividual , ; rdfs:label "compartment size for b"@en ; ; ; "Compartment Size For A"@en . ### https://portal.mardi4nfdi.de/entity/Q6775343 rdf:type owl:NamedIndividual , ; rdfs:label "concentration of particles"@en ; ; ; "concentration of particles for a given position and time"@en . ### https://portal.mardi4nfdi.de/entity/Q6775344 rdf:type owl:NamedIndividual , ; rdfs:label "contact point of particles"@en ; ; ; "global position of the contact point of two particles"@en . ### https://portal.mardi4nfdi.de/entity/Q6775345 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of exposed in the ODE region"@en ; ; ; "fraction of population density of exposed Individuals in the ODE region Ω_2 of the domain Ω"@en . ### https://portal.mardi4nfdi.de/entity/Q6775346 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of exposed in the PDE region"@en ; ; ; "fraction of the population density of exposed individuals in the PDE region Ω₁"@en . ### https://portal.mardi4nfdi.de/entity/Q6775347 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of infectious in the ODE region"@en ; ; ; "fraction of population density of infectious Individuals in the ODE region Ω₂ of the domain Ω"@en . ### https://portal.mardi4nfdi.de/entity/Q6775348 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of infectious in the PDE region"@en ; ; ; "fraction of population density of infectious Individuals in the PDE region Ω₁"@en . ### https://portal.mardi4nfdi.de/entity/Q6775349 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of removed in the ODE region"@en ; ; ; "Fraction of population density of removed Individuals in the ODE region Ω₂ of the domain Ω"@en . ### https://portal.mardi4nfdi.de/entity/Q6775350 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of removed in the PDE region"@en ; ; ; "fraction of population density of removed Individuals in the PDE region Ω₁"@en . ### https://portal.mardi4nfdi.de/entity/Q6775351 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of susceptibles in the ODE region"@en ; ; ; "fraction of population density of susceptible Individuals in the ODE region Ω₂ of the domain Ω"@en . ### https://portal.mardi4nfdi.de/entity/Q6775352 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of susceptibles in the PDE region"@en ; ; ; "fraction of population density of susceptible Individuals in the PDE region Ω₁"@en . ### https://portal.mardi4nfdi.de/entity/Q6775354 rdf:type owl:NamedIndividual , ; rdfs:label "tangential stiffness"@en ; ; ; , ; "proportion of stiffness acting in tangential direction with contact between moving objects"@en . ### https://portal.mardi4nfdi.de/entity/Q6775355 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of exposed in the ODE region (fluctuating part)"@en ; ; ; "fluctuating part of the fraction of population density of exposed in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775356 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of exposed in the ODE region (mean)"@en ; ; ; "mean of the fraction of population density of exposed in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775357 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of infectious in the ODE region (fluctuating part)"@en ; ; ; "fluctuating part of the fraction of population density of infectious in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775358 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of infectious in the ODE region (mean)"@en ; ; ; "mean of the fraction of population density of Infectious in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775359 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of removed in the ODE region (fluctuating part)"@en ; ; ; "fluctuating part of the fraction of population density of removed in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775360 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of removed in the ODE region (mean)"@en ; ; ; "mean of the fraction of population density of removed in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775361 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of susceptibles in the ODE region (fluctuating part)"@en ; ; ; "fluctuating part of the fraction of population density of susceptibles in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775362 rdf:type owl:NamedIndividual , ; rdfs:label "fraction of population density of susceptibles in the ODE region (mean)"@en ; ; ; "mean of the fraction of population density of susceptibles in the ODE region"@en . ### https://portal.mardi4nfdi.de/entity/Q6775363 rdf:type owl:NamedIndividual , ; rdfs:label "diffusion coefficient a"@en ; ; ; "coefficient of diffusion for the for the chain reaction of chemical species A"@en . ### https://portal.mardi4nfdi.de/entity/Q6775364 rdf:type owl:NamedIndividual , ; rdfs:label "diffusion coefficient b"@en ; ; ; "coefficient of diffusion for the for the chain reaction of chemical species B"@en . ### https://portal.mardi4nfdi.de/entity/Q6775365 rdf:type owl:NamedIndividual , ; rdfs:label "diffusion operator"@en ; ; ; "diffusion operator used in the reaction diffusion master equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775366 rdf:type owl:NamedIndividual , ; rdfs:label "operators O i minus"@en ; ; ; "class of operators defined to later define the diffusion and reaction operators"@en . ### https://portal.mardi4nfdi.de/entity/Q6775367 rdf:type owl:NamedIndividual , ; rdfs:label "operators O i plus"@en ; ; ; "class of operators defined to later define the diffusion and reaction operators"@en . ### https://portal.mardi4nfdi.de/entity/Q6775368 rdf:type owl:NamedIndividual , ; rdfs:label "distribution of radioactive tracer"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775369 rdf:type owl:NamedIndividual , ; rdfs:label "interaction potential"@en ; ; ; "potential modeling pairwise interactions between particles"@en . ### https://portal.mardi4nfdi.de/entity/Q6775371 rdf:type owl:NamedIndividual , ; rdfs:label "filtered value of image"@en ; ; ; "filtered value of image, used in image processing"@en . ### https://portal.mardi4nfdi.de/entity/Q6775372 rdf:type owl:NamedIndividual , ; "E⁡(−)"@en , "X"@en , "i"@en , "si"@en ; "∀s1,…,sk∈ℝ:E⁡(exp⁡(i∑isiXti)):=exp⁡(−12∑i,jσijsisj+i∑iμisi)"@en ; rdfs:label "Gaussian process"@en ; ; "Q1496376"@en ; ; ; ; "stochastic process such that every finite collection of random variables has a multivariate normal distribution"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E⁡(−)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "si"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775373 rdf:type owl:NamedIndividual , ; rdfs:label "generalized diffusion operator"@en ; ; ; , ; ; "generalized version of the diffusion operator"@en . ### https://portal.mardi4nfdi.de/entity/Q6775374 rdf:type owl:NamedIndividual , ; "p(𝐧,𝐦,t)"@en ; "ϕ(𝐧,𝐦)≡limt→∞p(𝐧,𝐦,t)"@en ; rdfs:label "stationary distribution"@en ; ; ; "satisfies the stationary reaction-diffusion master equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p(𝐧,𝐦,t)"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775375 rdf:type owl:NamedIndividual , ; rdfs:label "morphogen"@en ; ; "Q417084"@en ; "Subscript denotes the compartment."@en ; ; ; "molecules of Morphogen in the Standard Compartment-Based Morphogen Gradient Model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775376 rdf:type owl:NamedIndividual , ; "p((n),(m),t)"@en , "𝒪i+"@en , "𝒪i−"@en ; "ℛ~f(𝐧,𝐦):≡k1{f(𝒪1−𝐧,𝐦)−f(𝐧,𝐦)}+k2γ∑j=1KA∑i∈ℐ(j){(nj+1)f(𝒪j+𝐧,𝒪i−𝐦)−njf(𝐧,𝐦)}+k3∑i=1KB{(mi+1)f(𝐧,𝒪i+𝐦)−mif(𝐧,𝐦)}."@en ; rdfs:label "generalized reaction operator"@en ; ; ; ; "generalized version of the reaction operator"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p((n),(m),t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒪i+"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒪i−"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775377 rdf:type owl:NamedIndividual , ; rdfs:label "joint probability"@en ; "Q106448902"@en ; "The number of particles in the i-th compartment at time t≥0 is denoted by Aᵢ(t) and Bᵢ(t). 𝓃 = [n₁, n₂, …, nₖ] ∈ ℕᵏ and 𝓂 = [m₁, m₂, …, mₖ] ∈ ℕᵏ are used to define the system state."@en ; ; ; "joint probability that Aᵢ(t) = nᵢ and Bᵢ(t) = mᵢ for all i = 1, 2, …, K"@en . ### https://portal.mardi4nfdi.de/entity/Q6775378 rdf:type owl:NamedIndividual , ; "𝒪i+"@en , "𝒪i−"@en ; "ℛf(𝐧,𝐦):≡k1{f(𝒪1−𝐧,𝐦)−f(𝐧,𝐦)}+k2∑i=1K{(ni+1)f(𝒪i+𝐧,𝒪i−𝐦)−nif(𝐧,𝐦)}+k3∑i=1K{(mi+1)f(𝐧,𝒪i+𝐦)−mif(𝐧,𝐦)}."@en ; rdfs:label "reaction operator"@en ; ; ; "reaction operator used in the reaction diffusion master equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒪i+"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒪i−"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775379 rdf:type owl:NamedIndividual , ; rdfs:label "matrix M"@en ; ; ; "block Matrix M"@en . ### https://portal.mardi4nfdi.de/entity/Q6775381 rdf:type owl:NamedIndividual , ; "ℏ"@en , "M"@en , "R"@en , "T^"@en ; "T^≡−ℏ22M∇R2"@en ; rdfs:label "heavy particle kinetic operator"@en ; ; ; "kinetic energy operator of the heavy particle(s) in quantum-classical dynamics models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775382 rdf:type owl:NamedIndividual , ; rdfs:label "heavy particle mass"@en ; ; ; "mass(es) of the heavy particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775383 rdf:type owl:NamedIndividual , ; rdfs:label "heavy particle position"@en ; ; ; "position(s) of the heavy particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775384 rdf:type owl:NamedIndividual , ; rdfs:label "particle mass"@en ; ; ; , ; "mass of a particle"@en . ### https://portal.mardi4nfdi.de/entity/Q6775385 rdf:type owl:NamedIndividual , ; "F"@en , "R"@en , "r"@en , "t"@en , "ψ"@en , "H^"@en ; "F(R,t)≡−∇R⟨ψ(R,t)|H^(r;R)|ψ(R,t)⟩r"@en ; rdfs:label "heavy particle mean force"@en ; ; ; "mean force acting on the heavy particle(s) in quantum-classical dynamics model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775386 rdf:type owl:NamedIndividual , ; rdfs:label "light particle position"@en ; ; ; "position(s) of the light particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775387 rdf:type owl:NamedIndividual , ; rdfs:label "light particle state vector"@en ; ; ; "quantum state vector of the light particle(s) in quantum-classical models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775389 rdf:type owl:NamedIndividual , ; rdfs:label "heavy particle velocity"@en ; ; ; "velocity(s) of the heavy particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775390 rdf:type owl:NamedIndividual , ; rdfs:label "jump rate of a"@en ; ; ; "jump rate of species A"@en . ### https://portal.mardi4nfdi.de/entity/Q6775391 rdf:type owl:NamedIndividual , ; rdfs:label "jump rate of b"@en ; ; ; "jump rate of species B"@en . ### https://portal.mardi4nfdi.de/entity/Q6775392 rdf:type owl:NamedIndividual , ; "c"@en , "ρ"@en ; "ρmn≡cmcn∗"@en ; rdfs:label "light particle density matrix"@en ; ; ; "quantum density matrix of the light particle(s) in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775393 rdf:type owl:NamedIndividual , ; "R"@en , "c"@en , "n"@en , "r"@en , "ψ"@en , "ϕ"@en ; "cn≡⟨ϕn(R)|ψ⟩r"@en ; rdfs:label "light particle expansion coefficient"@en ; ; ; "adiabatic expansion coefficient of the light particle(s) quantum state in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775394 rdf:type owl:NamedIndividual , ; rdfs:label "light particle eigen energy"@en ; "Note that in quantum-classical dynamics the parametric dependence of the light particle(s) eigen energies can be interpreted as adiabatic potential energy curves|surfaces governing the heavy particle(s) positions. In one dimension, they may feature avoided or true crossings, in two (or more) dimensions they may display conical intersections."@en ; ; ; "adiabatic eigen energy of the light particle(s) dynamics in quantum-classical models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775395 rdf:type owl:NamedIndividual , ; rdfs:label "light particle eigen state"@en ; "Note the parametric dependence of the light particle(s) eigen states in quantum-classical dynamics"@en ; ; ; "adiabatic eigen state of the light particle(s) dynamics in quantum-classical models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775396 rdf:type owl:NamedIndividual , ; "V"@en , "h"@en , "t"@en ; "ĥ≡t̂+V̂"@en ; rdfs:label "light particle Hamiltonian"@en ; "Note that this Hamiltonian is parametrically dependent on the heavy partivcle(s) positions through the quantum-classical potential"@en ; ; ; , ; ; "governing the light particle(s) dynamics in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775397 rdf:type owl:NamedIndividual , ; "ℏ"@en , "M"@en , "R"@en , "T^"@en ; "T^≡−ℏ22m∇r2"@en ; rdfs:label "light particle kinetic operator"@en ; ; ; "kinetic energy operator of the light particle(s) in quantum-classical dynamics models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775398 rdf:type owl:NamedIndividual , ; "R"@en , "V"@en , "r"@en ; "V≡V(r,R)"@en ; rdfs:label "quantum-classical potential"@en ; "In quantum-classical molecular dynamics, this potential would contain all the (repulsive and attractive) Coulombic interactions between electrons and nuclei"@en ; ; ; , ; "total interaction potential of light and heavy particles in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775399 rdf:type owl:NamedIndividual , ; rdfs:label "light particle mass"@en ; ; ; "mass(es) of the light particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775400 rdf:type owl:NamedIndividual , ; "R"@en , "d"@en , "m"@en , "n"@en , "r"@en , "ϕ"@en ; "dnmk≡⟨ϕn(R)|∇Rk|ϕm(R)⟩rdnnk=0dnmk=−(dmnk)∗"@en ; rdfs:label "light particle nonadiabatic coupling (first order)"@en ; "Note that the first-order coupling tensor is anti-Hermitian with respect to interchange of the adiabatic state indices"@en ; ; ; "first order nonadiabatic coupling of the light particle(s) quantum states induced by heavy particle(s) dynamics in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "d"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775401 rdf:type owl:NamedIndividual , ; "R"@en , "m"@en , "n"@en , "r"@en , "t"@en , "ϕ"@en ; "tnm≡⟨ϕn(R)|ΔR|ϕm(R)⟩r"@en ; rdfs:label "light particle nonadiabatic coupling (second order)"@en ; ; ; "second order nonadiabatic coupling of the light particle(s) quantum states induced by heavy particle(s) dynamics in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775402 rdf:type owl:NamedIndividual , ; "P"@en , "d"@en , "m"@en , "n"@en , "t"@en , "v"@en , "Δt"@en , "ρ"@en ; "Pmn(t,t+Δt)≡max⁡[0,−2Δtℏρmmℜ(ρmn)dmn⋅v]"@en ; rdfs:label "light particle nonadiabatic probability 1"@en ; "Numerical problems may occur due to the (near) divergence of the nonadiabatic coupling tensor elements, thus enforcing very small time steps."@en ; ; ; ; "FSSH-1 probability for a nonadiabatic transition of the light particle(s) subsystem, induced by the heavy particle(s) dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "d"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775403 rdf:type owl:NamedIndividual , ; rdfs:label "random number"@en ; ; "RandomNumber"@en ; "Q1823781"@en ; ; ; ; ; "science/random-number"@en ; "19630961"@en ; "19222"@en ; "slumptall"@en ; ; ; ; "/g/12384pzd"@en , "/g/1hbpx2w8f"@en ; "4009045"@en ; "00576776"@en ; "numbers that cannot be reasonably predicted"@en . ### https://portal.mardi4nfdi.de/entity/Q6775404 rdf:type owl:NamedIndividual , ; "ℏ"@en , "E"@en , "P"@en , "c"@en , "m"@en , "n"@en , "t"@en , "Γ"@en , "Δt"@en , "ρ"@en ; "Pmn(t,t+Δt)≡ρmm(t)−ρmm(t+Δt)ρmm(t)c(t+Δt)=exp⁡(−iEΔt/ℏ)Γ(t,t+Δt)c(t)ρmm(t)=cm2(t)"@en ; rdfs:label "light particle nonadiabatic probability 2"@en ; "Numerical problems due to the (near) divergence of the nonadiabatic coupling tensor elements are circumvented here, thus allowing much longer time steps than in Tully's traditional FSSH-1."@en ; ; ; ; "FSSH-2 probability for a nonadiabatic transition of the light particle(s) subsystem, induced by the heavy particle(s) dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775405 rdf:type owl:NamedIndividual , ; "m"@en , "n"@en , "t"@en , "Γ"@en , "Δt"@en , "ϕ"@en ; "Γnm(t,t+Δt)≡⟨ϕn(t+Δt)|ϕm(t)⟩r"@en ; rdfs:label "light particle time overlap"@en ; ; ; "overlap of light particle(s) eigen states after one time step"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775406 rdf:type owl:NamedIndividual , ; rdfs:label "normalization"@en ; "Q17104971"@en ; ; ; ; "normalization used in image processing"@en . ### https://portal.mardi4nfdi.de/entity/Q6775407 rdf:type owl:NamedIndividual , ; rdfs:label "unfiltered value of image"@en ; ; ; "unfiltered value of image, used in image processing"@en . ### https://portal.mardi4nfdi.de/entity/Q6775408 rdf:type owl:NamedIndividual , ; rdfs:label "weight function"@en ; ; "Q1520657"@en ; ; ; "mathematical function that gives elements individual weights"@en . ### https://portal.mardi4nfdi.de/entity/Q6775409 rdf:type owl:NamedIndividual , ; rdfs:label "normal stiffness"@en ; ; ; "proportion of stiffness acting in normal direction with contact between moving objects"@en . ### https://portal.mardi4nfdi.de/entity/Q6775410 rdf:type owl:NamedIndividual , ; rdfs:label "SPECT measured data"@en ; ; ; "measured data from single positron emission computer tomography"@en . ### https://portal.mardi4nfdi.de/entity/Q6775411 rdf:type owl:NamedIndividual , ; rdfs:label "student's t-distribution"@en ; ; "Q576072"@en ; ; ; "probability distribution Student's distribution or t-distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6775412 rdf:type owl:NamedIndividual , ; rdfs:label "attenuation coefficient"@en ; ; "Q902086"@en ; "𝖫−1"@en ; ; ; "AttenuationCoefficient"@en ; , ; "measure for the exponential reduction of a quantity along a path due to absorption and scattering"@en . ### https://portal.mardi4nfdi.de/entity/Q6775413 rdf:type owl:NamedIndividual , ; rdfs:label "basis function"@en ; ; "Q2621825"@en ; ; ; "element of a basis for a function space"@en . ### https://portal.mardi4nfdi.de/entity/Q6775414 rdf:type owl:NamedIndividual , ; rdfs:label "scattering coefficient"@en ; "Q105623530"@en ; "𝖫−1"@en ; ; ; ; "measure for the exponential reduction of a quantity along a path due to scattering"@en . ### https://portal.mardi4nfdi.de/entity/Q6775415 rdf:type owl:NamedIndividual , ; rdfs:label "random variable"@en ; , ; "RandomVariable"@en ; "random variable"@en ; "variabile-aleatoria"@en ; "Q176623"@en ; "sluchainaia-velichina-9e1bfb"@en ; ; "computer-science/random-variable"@en , "earth-and-planetary-sciences/random-variable"@en , "engineering/random-variable-xi"@en , "mathematics/random-variable"@en ; ; ; "Definition:Random_Variable"@en ; ; ; "concept/d651aab1-531b-4ee4-b834-2f67ee01e6c3"@en ; ; "1030"@en ; "Random variable"@en ; "27896"@en ; ; "/m/06dsl"@en ; "7707"@en ; "Random-Variable-1"@en ; ; "random-variables"@en ; "topic/random-variable"@en ; ; ; "05872761-n"@en ; "519.2"@en ; "15176-2"@en ; "987007563129305171"@en ; ; "wiskunde/toevalsgrootheid"@en ; ; , ; ; "122123141"@en ; "103-08-03"@en ; "variabile-aleatoria"@en , "variabile-casuale"@en ; "C122123141"@en ; "stokastisk_variabel"@en ; "3933828"@en ; "121355344"@en ; "4129514-6"@en ; "sh85111355"@en ; "133826"@en ; "variable representing a random phenomenon"@en . ### https://portal.mardi4nfdi.de/entity/Q6775416 rdf:type owl:NamedIndividual , ; rdfs:label "covariance"@en ; ; "Q201984"@en ; ; ; ; "measure of the joint variability of two random variables"@en . ### https://portal.mardi4nfdi.de/entity/Q6775417 rdf:type owl:NamedIndividual , ; rdfs:label "covariance function"@en ; ; "Q5178897"@en ; ; ; "function in probability theory"@en . ### https://portal.mardi4nfdi.de/entity/Q6775418 rdf:type owl:NamedIndividual , ; rdfs:label "dynamic viscosity"@en ; "Q15152757"@en ; "𝖫−1𝖬𝖳−1"@en ; ; ; "DynamicViscosity"@en ; , ; "measure of the molecular frictional resistance of a fluid as calculated using Newton's law"@en . ### https://portal.mardi4nfdi.de/entity/Q6775419 rdf:type owl:NamedIndividual , ; rdfs:label "flux"@en ; ; "Q6485344"@en ; ; ; "Flux"@en ; , , ; "measure of the flow of something through a surface, in some cases per surface area"@en . ### https://portal.mardi4nfdi.de/entity/Q6775420 rdf:type owl:NamedIndividual , ; rdfs:label "stochastic process"@en ; ; "Q176737"@en ; ; ; "StochasticProcess"@en ; , , , ; "usually defined as a collection of random variables"@en . ### https://portal.mardi4nfdi.de/entity/Q6775421 rdf:type owl:NamedIndividual , ; rdfs:label "stiffness"@en ; ; "Q569057"@en ; "𝖬𝖳−2"@en ; ; ; , ; "rigidity of an object"@en . ### https://portal.mardi4nfdi.de/entity/Q6775422 rdf:type owl:NamedIndividual , ; rdfs:label "standard compartment-based morphogen gradient model"@en ; "Signaling molecules (A) are produced locally, and morphogen molecules (B) are produced from A. Diffusion corresponds to two chains of chemical reactions (picture)."@en ; ; ; , , , ; , ; "standard compartment-based model for morphogen gradient modelling"@en . ### https://portal.mardi4nfdi.de/entity/Q6775423 rdf:type owl:NamedIndividual , ; rdfs:label "SEIR epidemiological PDE model"@en ; "Spatial spreading model of SEIR (Susceptible, Exposed, Infectious, and Removed) type in a domain Ω ⊂ ℝ², modeling both the SEIR dynamics and spatial diffusion of infectious individuals. Employing partial differential equations."@en ; ; ; , , , , , , , , , , , , , , , , ; "susceptible, exposed, infectious, and removed model employing partial differential equations"@en . ### https://portal.mardi4nfdi.de/entity/Q6775424 rdf:type owl:NamedIndividual , ; rdfs:label "stochastic particle based model for clustering dynamics"@en ; ; ; , ; ; "particle based model comprised of SDEs"@en . ### https://portal.mardi4nfdi.de/entity/Q6775425 rdf:type owl:NamedIndividual , ; rdfs:label "emission tomography (no scatter with attenuation)"@en ; ; , ; ; , ; ; , ; "emission tomography with assumptions: no Scatter but with attenuation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775426 rdf:type owl:NamedIndividual , ; rdfs:label "computerized tomography (with scatter)"@en ; ; ; ; "computerized tomography with scatter assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6775427 rdf:type owl:NamedIndividual , ; rdfs:label "computerized tomography (no scatter)"@en ; ; ; ; ; "computerized tomography with no scatter assumption"@en . ### https://portal.mardi4nfdi.de/entity/Q6775428 rdf:type owl:NamedIndividual , ; rdfs:label "mean-field PDE model"@en ; "These equations describe the spatiotemporal evolution of the concentration of particles, depending on position and time, and approximate the empirical measure of the particle-based dynamics in the case of large N."@en ; ; ; , ; ; "for large population sizes particle-based dynamics may be approximated by a mean-field PDE model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775429 rdf:type owl:NamedIndividual , ; rdfs:label "SEIR epidemiological ODE model"@en ; ; ; , , , , , ; "susceptible, exposed, infectious, and removed model employing ordinary differential equations"@en . ### https://portal.mardi4nfdi.de/entity/Q6775430 rdf:type owl:NamedIndividual , ; rdfs:label "emission tomography (no scatter no attenuation)"@en ; ; ; "emission tomography with assumptions: no Scatter no attenuation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775431 rdf:type owl:NamedIndividual , ; rdfs:label "mean-field SPDE model"@en ; "Stochastic effects crucial for systems of finite size N, especially in the case of clustering behavior."@en ; ; ; ; ; ; "Mean Field mofel for clustering dynamics comprising of SPDEs"@en . ### https://portal.mardi4nfdi.de/entity/Q6775432 rdf:type owl:NamedIndividual , ; rdfs:label "fewest switches surface hopping 1"@en ; "The trajectories for the heavy particle(s) are propagated on a single potential energy surface (PES) of the light particle(s), but they are allowed to change surface, especially near regions of large nonadiabatic couplings."@en ; ; , , ; ; , , ; , ; ; "original fewest switches surface hopping trajectories for quantum-classical dynamics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775433 rdf:type owl:NamedIndividual , ; rdfs:label "fewest switches surface hopping 2"@en ; ; , , ; ; , , ; , ; ; "improved fewest switches surface hopping trajectories for quantum-classical dynamics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775434 rdf:type owl:NamedIndividual , ; rdfs:label "generalized compartment based morphogen gradient model"@en ; "Assuming that molecules of species A diffuse significantly faster than those of species B, a larger compartment size for A is chosen."@en ; ; ; , , , , , , ; , ; ; "generalized compartment-based model for morphogen gradient modelling"@en . ### https://portal.mardi4nfdi.de/entity/Q6775435 rdf:type owl:NamedIndividual , ; rdfs:label "mean-field Ehrenfest"@en ; "The trajectories for the heavy particle(s) are propagated on a weighted average of potential energy surfaces of the light particle(s). The weights are determined by the amount of nonadiabatic mixing."@en ; ; , ; ; , ; ; ; ; "mean-field or Ehrenfest approach to quantum-classical dynamics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775436 rdf:type owl:NamedIndividual , ; rdfs:label "simulation behavior prediction by a stochastic model"@en ; ; ; ; , , ; ; "constists of a global model, that uses a priori knowledge of the simulation to describe global trends, and a local model that describes local deviations from the trend"@en . ### https://portal.mardi4nfdi.de/entity/Q6775437 rdf:type owl:NamedIndividual , ; rdfs:label "mean-field theory"@en ; ; "Q626011"@en ; ; ; , , ; "studying the behavior of high-dimensional models by studying simpler models that approximate the original by averaging over degrees of freedom"@en . ### https://portal.mardi4nfdi.de/entity/Q6775438 rdf:type owl:NamedIndividual , ; rdfs:label "positron emission tomography"@en ; ; "Q208376"@en ; ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775439 rdf:type owl:NamedIndividual , ; rdfs:label "simulation behavior prediction global stochastic model"@en ; ; ; ; "describes known trends in the simulation behavior as a linear combination of basis functions on a logarithmic scale"@en . ### https://portal.mardi4nfdi.de/entity/Q6775440 rdf:type owl:NamedIndividual , ; rdfs:label "simulation behavior prediction local stochastic model"@en ; ; ; ; "describes local deviations from the global model as a zero-mean Gaussian Process with a radial basis function as covariance function"@en . ### https://portal.mardi4nfdi.de/entity/Q6775441 rdf:type owl:NamedIndividual , ; "A"@en , "h"@en , "k1"@en ; "∅→k1/hA1"@en ; rdfs:label "a produced in first compartment"@en ; "Particles of A are produced at a rate of 𝑘₁."@en ; ; ; "signal A is produced in the first compartment on the left"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775442 rdf:type owl:NamedIndividual , ; "f"@en , "s"@en , "μ"@en ; "ln⁡f(x)=μ(x)+s(x)"@en ; rdfs:label "simulation behavior prediction formulation"@en ; "Combining a global and a local stochastic process on the logarithmic scale."@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775443 rdf:type owl:NamedIndividual , ; "Ca"@en , "Cr"@en , "la"@en , "lr"@en ; "lrla<1CrCa<1"@en ; rdfs:label "attraction dominates repulsion assumption"@en ; "At close distances the attractive force diminishes due to the presence of the repulsive force."@en ; ; ; "attractive forces always dominate repulsive forces"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ca"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cr"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "la"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "lr"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775444 rdf:type owl:NamedIndividual , ; rdfs:label "Boltzmann equation"@en ; ; "Q891653"@en ; ; ; , , ; ; "describes the statistical behaviour of a thermodynamic system not in a state of equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6775445 rdf:type owl:NamedIndividual , ; "c"@en , "s"@en , "t"@en , "u"@en , "θ"@en , "μ"@en , "σ"@en ; "cut(x,θ,t)+θ⋅∇u(x,θ,t)=−μ(x)u(x,θ,t)+s(x)∫Sn−1u(x,θ′,t)σ(θ,θ′)dθ′"@en ; rdfs:label "Boltzmann equation for moving particles"@en ; ; ; ; , ; ; "special version of the Boltzmann equation for moving particles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775446 rdf:type owl:NamedIndividual , ; "u"@en , "θ"@en , "μ"@en ; "θ⋅∇u(x,θ)=−μ(x)u(x,θ)"@en ; rdfs:label "Boltzmann equation for moving particles (time continuous, no scatter assumption)"@en ; ; ; ; , ; ; "special version of the Boltzmann equation for moving particles, time continuous, no scattering"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775447 rdf:type owl:NamedIndividual , ; "s"@en , "u"@en , "θ"@en , "μ"@en , "σ"@en ; "θ⋅∇u(x,θ)=−μ(x)u(x,θ)+s(x)∫Sn−1u(x,θ′)σ(θ,θ′)dθ′"@en ; rdfs:label "Boltzmann equation for moving particles (time continuous)"@en ; ; ; ; , ; ; "special version of the Boltzmann equation for moving particles, time continuous"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775448 rdf:type owl:NamedIndividual , ; "g"@en , "θ"@en , "μ"@en , "I0"@en ; "g(θ,s)=I0e−∫x⋅θ=sμ(s)ds"@en ; rdfs:label "CT measurement equation (no scatter)"@en ; ; ; "computer tomography measurement equation neglecting scattering"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775449 rdf:type owl:NamedIndividual , ; "e1"@en , "e2"@en , "i1"@en , "i2"@en , "r1"@en , "r2"@en , "s1"@en , "s2"@en ; "s1=s2e1=e2i1=i2r1=r2"@en ; rdfs:label "continuity of densities condition"@en ; ; ; "continuity of densities across the interface $\\Gamma$ in the Hybrid ODE-PDE Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775450 rdf:type owl:NamedIndividual , ; "D"@en , "e1"@en , "i1"@en , "r1"@en , "s1"@en , "ν1"@en ; "ν1TD∇s1=ν1TD∇e1=ν1TD∇i1=ν1TD∇r1=0"@en ; rdfs:label "continuity of fluxes condition"@en ; ; ; "continuity of fluxes across the interface Γ in the hybrid ODE-PDE model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775453 rdf:type owl:NamedIndividual , ; rdfs:label "compartment length ratio"@en ; ; ; "ratio of compartment lengths"@en . ### https://portal.mardi4nfdi.de/entity/Q6775454 rdf:type owl:NamedIndividual , ; rdfs:label "matrix S"@en ; ; ; "Matrix S (quantity)"@en . ### https://portal.mardi4nfdi.de/entity/Q6775455 rdf:type owl:NamedIndividual , ; rdfs:label "convolution between interaction force and density"@en ; ; ; "Convolution Between Interaction Force And Density (Quantity)"@en . ### https://portal.mardi4nfdi.de/entity/Q6775456 rdf:type owl:NamedIndividual , ; "c"@en , "t"@en , "(F′∗c(⋅,t))"@en , "F′"@en ; "(F′∗c(⋅,t))(x):=∫𝕋F′(x−y)c(y,t)dy"@en ; rdfs:label "convolution between interaction force and density formulation"@en ; ; ; "Convolution Between Interaction Force And Density"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "(F′∗c(⋅,t))"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F′"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775458 rdf:type owl:NamedIndividual , ; "g"@en , "θ"@en ; "g(θ,s)=∫x⋅θ=sf(x)dx"@en ; rdfs:label "ET measurement equation (no scatter, no attenuation)"@en ; ; ; "emission tomography equation neglecting scattering and attenuation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775459 rdf:type owl:NamedIndividual , ; "g"@en ; "g(y)=∫Lf(x)dx"@en ; rdfs:label "particle movement on a line (no attenuation)"@en ; ; ; ; , ; "particle movement equation on a line neglecting attenuation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775460 rdf:type owl:NamedIndividual , ; "g"@en , "μ"@en ; "g(y)=∫Lf(x)e−∫xμ(s)dsdx"@en ; rdfs:label "ET measurement equation (no scatter, with attenuation)"@en ; ; ; , ; , ; "emission tomography equation neglecting scattering but including attenuation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775461 rdf:type owl:NamedIndividual , ; "c"@en , "t"@en , "σ"@en , "(F′∗c(⋅,t))"@en , "F′"@en ; "∂tc(x,t)=∂x(c(x,t)(F′∗c(⋅,t))(x))+σ22∂xxc(x,t)"@en ; rdfs:label "evolution of the concentration of particles PDE"@en ; "This is a nonlinear, nonlocal Fokker-Planck equation that is also called McKean-Vlasov PDE or aggregation-diffusion equation."@en ; ; ; "spatiotemporal evolution of the concentration of particles depending on the position and time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "(F′∗c(⋅,t))"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F′"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775462 rdf:type owl:NamedIndividual , ; "N"@en , "c"@en , "t"@en , "ξ"@en , "σ"@en , "(F′∗c(⋅,t))"@en ; "∂tc(x,t)=∂x(c(x,t)(F′∗c(⋅,t))(x))+σ22∂xxc(x,t)+σN∂x⋅(c(x,t)ξ(x,t))"@en ; rdfs:label "evolution of the concentration of particles SPDE"@en ; ; ; "randomness is maintained by this stochastic equation also known as Dean-Kawasaki equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ξ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "(F′∗c(⋅,t))"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775463 rdf:type owl:NamedIndividual , ; "F(x)"@en , "N"@en , "σ"@en , "Wi"@en , "Xi"@en ; "dXi(t)=−1N∑j=1NF′(Xi(t)−Xj(t))dt+σdWi(t)"@en ; rdfs:label "evolution of the position of a particle SDE"@en ; "𝑋(𝑡) = (𝑋₁(𝑡), …, 𝑋ₙ(𝑡)) denote the (random) system state at time 𝑡"@en ; ; ; ; "positions of particles evolve according to this set of coupled SDEs"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Wi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Xi"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775464 rdf:type owl:NamedIndividual , ; "cE"@en , "cS"@en , "cS0"@en ; "cS≫cE→cS≈cS0"@en ; rdfs:label "excess substrate assumption"@en ; ; ; ; "substrate concentration much higher than enzyme concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775465 rdf:type owl:NamedIndividual , ; "e~2"@en , "i~2"@en , "r~2"@en , "s~2"@en ; "s~2≈0e~2≈0i~2≈0r~2≈0"@en ; rdfs:label "fluctuating parts of population density fractions approximately zero"@en ; "s̃₂, ẽ₂, ĩ₂, r̃₂ are assumed to to be approximately zero, since they become vanishingly small as D (Diffusion Coefficient) becomes large."@en ; ; ; "fluctuating parts of population density fractions are approximately zero"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e~2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i~2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r~2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s~2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775466 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en ; "∅→AA→B→∅"@en ; rdfs:label "reaction diffusion system"@en ; "∅ is interpreted as sources and sinks of molecules. The reaction producing A is locally restricted. A is converted to B at a rate of k₂."@en ; ; ; "molecules of Signal (A) are continuously produced and converted into molecules of morphogen (B)"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775468 rdf:type owl:NamedIndividual , ; "m"@en , "n"@en , "ϕ"@en , "A¯"@en , "B¯"@en , "KA"@en , "KB"@en ; "ϕ(𝐧,𝐦)=exp⁡[−∑j=1KAA¯j−∑i=1KBB¯i]∏j=1KAA¯jnjnj!∏i=1KBB¯imimi!"@en ; rdfs:label "generalized Poisson distribution"@en ; ; ; ; "obtained by solving the stationary mgRDME for the generalized compartment based model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A¯"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B¯"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775470 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "γ"@en ; "Aj→k2/γBi,j=1,2,…,KA"@en ; rdfs:label "generalized compartment reaction"@en ; "i denotes the compartment index."@en ; ; ; "generalized reactions for each compartment of the compartment-based morphogen gradient models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "γ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775471 rdf:type owl:NamedIndividual , ; "M"@en , "S"@en , "DA"@en , "DB"@en , "A‾i"@en , "B‾i"@en ; "(DAhA2SA−k2IA)𝐀‾=−k1𝐞1(DBhB2SB−k3IB)𝐁‾=−k2γM𝐀‾"@en ; rdfs:label "generalized steady state equations"@en ; ; ; "steady state equations satisfied by average number of molecules of A and B in the Generalized Morphogen Gradient Model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A‾i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B‾i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775472 rdf:type owl:NamedIndividual , ; "H"@en , "T"@en , "V"@en , "h"@en , "t"@en ; "H^≡T^+t^+V^⏟≡h"@en ; rdfs:label "quantum-classical Hamiltonian"@en ; "Hamiltonian for a system comprising of light/fast and heavy/slow particles, e.g. a molecular system with electrons and nuclei."@en ; ; ; , ; ; "Hamiltonian for a system with fast and slow degrees of freedom"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775473 rdf:type owl:NamedIndividual , ; "F"@en , "M"@en , "q"@en , "t"@en ; "d2dt2q→=F→/M"@en ; rdfs:label "heavy particle Newton equation"@en ; ; ; ; "Newton equation governing the heavy particle(s) dynamics in quantum-classical dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775474 rdf:type owl:NamedIndividual , ; "E2"@en , "I2"@en , "N2"@en , "R2"@en , "S2"@en , "e¯2"@en , "i¯2"@en , "r¯2"@en , "s¯2"@en ; "s2(0)=S2(0)N2e2(0)=E2(0)N2i2(0)=I2(0)N2r2(0)=R2(0)N2"@en ; rdfs:label "initial number of SEIR condition"@en ; "Total number of susceptibles S2(0), exposed E2(0), infectious I2(0) and removed R2(0) of the ODE model at time t= 0 are given"@en ; ; ; "initial number of individuals in all four categories is given"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "I2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s¯2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775475 rdf:type owl:NamedIndividual , ; "F(x)"@en , "Ca"@en , "Cr"@en , "la"@en , "lr"@en ; "F(x)=−Caexp⁡(−|x|la)+Crexp⁡(−|x|lr)"@en ; rdfs:label "interaction potential formulation"@en ; ; ; "given by the generalized Morse potential"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ca"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cr"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "la"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "lr"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775476 rdf:type owl:NamedIndividual , ; "P"@en , "r"@en ; "P>r"@en ; rdfs:label "light particle nonadiabatic criterion 1"@en ; "Note that the nonadiabatic transition probabilities are compared against random numbers uniformly distributed between 0 and 1."@en ; ; ; "stochastic criterion for a nonadiabatic transition of the light particle(s) in quantum-classical dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775477 rdf:type owl:NamedIndividual , ; "P"@en , "r"@en ; "P>r"@en ; rdfs:label "light particle nonadiabatic criterion 2"@en ; "Note that the nonadiabatic transition probabilities are compared against random numbers uniformly distributed between 0 and 1."@en ; ; ; "stochastic criterion for a nonadiabatic transition of the light particle(s) in quantum-classical dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775478 rdf:type owl:NamedIndividual , ; "E"@en , "R"@en , "n"@en , "r"@en , "|ϕ⟩"@en , "ĥ"@en ; "ĥ(r;R)|ϕn(R)⟩r=En(R)|ϕn(R)⟩r"@en ; rdfs:label "light particle TISE"@en ; "Note that the resulting eigen states and eigen energies for the light particle(s) are parametrically dependent on the heavy particle(s) position(s)."@en ; ; ; , ; "time-independent Schrödinger equation for the light particle(s) dynamics in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "|ϕ⟩"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ĥ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775479 rdf:type owl:NamedIndividual , ; "ℏ"@en , "R"@en , "r"@en , "t"@en , "ψ"@en , "ĥ"@en , "i"@en ; "iℏ∂∂t|ψ(t)⟩r=ĥ(r;R)|ψ(t)⟩r"@en ; rdfs:label "light particle TDSE"@en ; "Note that the underlying Hamiltonian for the light particle(s) is parametrically dependent on the heavy particle(s) position(s)."@en ; ; ; , ; "time-dependent Schrödinger equation for the light particle(s) dynamics in quantum-classical models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ĥ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775480 rdf:type owl:NamedIndividual , ; "p((n),(m),t)"@en , "ℛ~"@en , "𝒟~"@en ; "∂p∂t(𝐧,𝐦,t)=(𝒟~+ℛ~)p(𝐧,𝐦,t)"@en ; rdfs:label "multi grid reaction diffusion master equation"@en ; "Dividing by γ in the second term of the generalized reaction operator definition can be interpreted as a sum of γ reactions Aⱼ → Bᵢ that share the rate k₂."@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p((n),(m),t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℛ~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒟~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775481 rdf:type owl:NamedIndividual , ; "g"@en , "μ"@en ; "g(y)=∫Lf(x)e−∫xμ(s)dsdx"@en ; rdfs:label "particle movement on a line"@en ; ; ; ; "particle movement equation on a line"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775482 rdf:type owl:NamedIndividual , ; "g"@en , "μ"@en ; "g(y)=e−∫Lμ(s)ds∫Lf(x)dx"@en ; rdfs:label "positron emission tomography equation"@en ; ; ; , , ; "medicine imaging technique"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775483 rdf:type owl:NamedIndividual , ; "ϕ(𝕟,𝕞)"@en , "A‾"@en , "B‾"@en ; "ϕ(𝐧,𝐦)=exp⁡[−∑i=1K(A¯i+B¯i)]∏i=1KA¯iniB¯imini!mi!"@en ; rdfs:label "product of Poisson distributions"@en ; ; ; ; "product of poisson distributions obtained by solving the stationary reaction-diffusion master equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ(𝕟,𝕞)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A‾"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B‾"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775484 rdf:type owl:NamedIndividual , ; "ϕ(𝕟,𝕞)"@en , "A‾"@en , "B‾"@en ; "ϕ(𝐧,𝐦)=exp⁡[−∑j=1KAA¯j−∑i=1KBB¯i]∏j=1KAA¯jnjnj!∏i=1KBB¯imimi!"@en ; rdfs:label "product of Poisson distributions from the mgRDME"@en ; ; ; ; "Product Of Poisson Distributions obtained by solving the stationary mgRDME"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ(𝕟,𝕞)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A‾"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B‾"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775485 rdf:type owl:NamedIndividual , ; "M"@en , "m"@en ; "mM≪1"@en ; rdfs:label "quantum-classical mass separation"@en ; "Often the square root (or sometimes the fourth root) of the light-to-heavy mass ratio are used as smallness parameters in defining an asymptotic limit for quantum-classical dynamics"@en ; ; ; "assuming separation of mass scales is the basis of all quantum-classical dynamics models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "M"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775486 rdf:type owl:NamedIndividual , ; "A"@en , "D"@en , "n"@en , "σ"@en , "e1"@en , "βe"@en , "βi"@en , "ϕe"@en , "e¯2"@en , "i¯2"@en , "s¯2"@en , "ν1T"@en ; "e¯˙2≈(1−An¯2+n0)s¯2(βee¯2+βii¯2)−σe¯2−ϕee¯2−1|Ω2|∫Γν1TD∇e1do"@en ; rdfs:label "rate of change of population density fraction of exposed mean ODE"@en ; "Ordinary Differential Equation describing the rate of change of the population density of exposed with a right-hand side contribution from the flux of the PDE solution 𝑒₁ across the interface Γ."@en ; ; ; "rate of change of the mean population density of exposed individuals described by an ODE"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν1T"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775487 rdf:type owl:NamedIndividual , ; "D"@en , "σ"@en , "i1"@en , "ϕi"@en , "e¯2"@en , "i¯2"@en , "ν1T"@en ; "i¯˙2≈σe¯2−ϕii¯2−1|Ω2|∫Γν1TD∇i1do"@en ; rdfs:label "rate of change of population density fraction of infectious mean ODE"@en ; "Ordinary Differential Equation describing the rate of change of the population density of Infectious with a right-hand side contribution from the flux of the PDE solution 𝑖₁ across the interface Γ."@en ; ; ; "rate of change of the mean population density of infectious individuals described by an ODE"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν1T"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775488 rdf:type owl:NamedIndividual , ; "D"@en , "r1"@en , "ϕe"@en , "ϕi"@en , "e¯2"@en , "i¯2"@en , "r¯2"@en , "ν1T"@en ; "r¯˙2≈ϕii¯2+ϕee¯2−1|Ω2|∫Γν1TD∇r1do"@en ; rdfs:label "rate of change of population density fraction of removed mean ODE"@en ; "Ordinary Differential Equation describing the rate of change of the population density of removed with a right-hand side contribution from the flux of the PDE solution 𝑟₁ across the interface Γ."@en ; ; ; "rate of change of the mean population density of removed individuals described by an ODE"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν1T"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775489 rdf:type owl:NamedIndividual , ; "A"@en , "D"@en , "n"@en , "s1"@en , "βe"@en , "βi"@en , "e¯2"@en , "i¯2"@en , "s¯2"@en , "ν1T"@en ; "s¯˙2≈−(1−An¯2+n0)s¯2(βee¯2+βii¯2)−1|Ω2|∫Γν1TD∇s1do"@en ; rdfs:label "rate of change of population density fraction of susceptibles mean ODE"@en ; "Ordinary Differential Equation describing the rate of change of the population density of susceptibles with a right-hand side contribution from the flux of the PDE solution 𝑠₁ across the interface Γ."@en ; ; ; "rate of change of the mean population density of susceptible individuals described by an ODE"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s¯2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν1T"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775490 rdf:type owl:NamedIndividual , ; "p(𝐧,𝐦,t)"@en , "ℛ"@en , "𝒟"@en ; "∂p∂t(𝐧,𝐦,t)=(𝒟+ℛ)p(𝐧,𝐦,t)"@en ; rdfs:label "reaction diffusion master equation"@en ; ; ; "corresponds to the system of reactions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p(𝐧,𝐦,t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℛ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒟"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775491 rdf:type owl:NamedIndividual , ; "c"@en , "μ"@en , "ϕ"@en , "Student-t"@en ; "μ(x)=ln⁡(∑i=1qciϕi(x))ln⁡(ci)∼Student-t(4,0,7)"@en ; rdfs:label "simulation behavior prediction global formulation"@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "c"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Student-t"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775492 rdf:type owl:NamedIndividual , ; "k"@en , "s"@en , "𝒢𝒫"@en ; "s(x)∼𝒢𝒫(0,k)"@en ; rdfs:label "simulation behavior prediction local formulation"@en ; "Gaussian Process (GP) with zero means and covariance k."@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒢𝒫"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775493 rdf:type owl:NamedIndividual , ; "p(𝕟,𝕞,t)"@en , "ℛ~"@en , "𝒟~"@en ; "0=(𝒟~+ℛ~)p(𝕟,𝕞,t)"@en ; rdfs:label "stationary multi grid reaction diffusion master equation"@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p(𝕟,𝕞,t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℛ~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒟~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775494 rdf:type owl:NamedIndividual , ; "S"@en , "h"@en , "DAh2"@en , "DBh2"@en , "DA"@en , "DB"@en , "k1"@en , "k2"@en , "k3"@en , "A‾i"@en , "B‾i"@en ; "(DAh2S−k2I)𝐀‾=−k1𝐞1(DBh2S−k3I)𝐁‾=−k2𝐀‾"@en ; rdfs:label "steady state equations"@en ; ; ; "steady state equations satisfied by average number of molecules of A and B"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "h"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DAh2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DBh2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "DB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A‾i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B‾i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775495 rdf:type owl:NamedIndividual , ; rdfs:label "two chains of chemical reactions"@en ; ; ; "diffusion corrosponds to two chains of chemical reactions for the two species of chemicals"@en . ### https://portal.mardi4nfdi.de/entity/Q6775496 rdf:type owl:NamedIndividual , ; "t"@en , "δ"@en , "ξ"@en ; "𝔼(ξ(x,t))=0,𝔼(ξ(x,t)ξ(x′,t′))=δ(x−x′)δ(t−t′),∀t,t′≥0,∀x,x′∈𝕋"@en ; rdfs:label "white noise distribution assumption"@en ; ; ; "assumption regarding the distribution and expected value of the white noise"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "δ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ξ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775498 rdf:type owl:NamedIndividual , ; rdfs:label "approximate predictive distribution"@en ; ; ; , , ; , ; "in Bayesian statistics, the distribution of a new data point marginalized over the posterior"@en . ### https://portal.mardi4nfdi.de/entity/Q6775499 rdf:type owl:NamedIndividual , ; rdfs:label "compute predictive distribution"@en ; ; ; "compute the predictive distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6775500 rdf:type owl:NamedIndividual , ; rdfs:label "heavy particle propagation"@en ; "Note that in quantum-classical dynamics the forces acting on the heavy particles depend on the quantum state of the light particles."@en , "The classical trajectories can be integrated with conventional methods, as the Verlet algorithm. Such integration requires the forces acting on the nuclei. They are proportional to the gradient of the potential energy of the electronic states."@en ; ; ; ; "propagating the (classical!) state of the heavy particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775501 rdf:type owl:NamedIndividual , ; rdfs:label "heavy particle velocity adjustment"@en ; "If the classical kinetic energy can afford the energy cost of the quantum transition, the nuclei switch simultaneously to the new PES. The nuclear positions are kept unchanged and the nuclear velocities are adjusted along the direction of the nonadiabatic (NA) coupling vector to conserve total energy. Otherwise, the surface hop is rejected. This procedure is essential to achieve Boltzmann quantum state populations and detailed balance between hops up and down in energy."@en ; ; ; "adjusting heavy particle(s) velocity upon nonadiabatic transitions in quantum-classical dynamics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775502 rdf:type owl:NamedIndividual , ; rdfs:label "light particle nonadiabatic transitions"@en ; "Note that in quantum-classical dynamics the effective Hamiltonian governing the non-adiabatic transitions of the light particles parametrically depends on the heavy particle(s) positions."@en , "Typically, the many different approaches to quantum-classical dynamics, most notably surface hopping trajectories, differ in the way how the nonadiabatic transition probabilities are calculated."@en ; ; ; ; "nonadiabatic transitions of the light particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775503 rdf:type owl:NamedIndividual , ; rdfs:label "light particle propagation"@en ; "Note that in quantum-classical dynamics the effective Hamiltonian governing the quantum dynamics of the light particles parametrically depends on the heavy particle(s) positions."@en , "The electrons are usually treated by a local approximation of the TDSE, i.e., they depend only on the electronic forces and couplings at the instantaneous position of the nuclei."@en ; ; ; ; , ; "propagating the (quantum!) state of the light particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775504 rdf:type owl:NamedIndividual , ; rdfs:label "SPECT known attenuation"@en ; ; ; , , ; "single positron emission computer tomography with known attenuation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775505 rdf:type owl:NamedIndividual , ; rdfs:label "SPECT unknown attenuation"@en ; ; ; , , ; "single positron emission computer tomography where attenuation is not known"@en . ### https://portal.mardi4nfdi.de/entity/Q6775506 rdf:type owl:NamedIndividual , ; rdfs:label "Bayesian statistics"@en ; ; "Q4874481"@en ; ; ; ; ; ; "statistical approach combining prior knowledge with observed data predictions"@en . ### https://portal.mardi4nfdi.de/entity/Q6775507 rdf:type owl:NamedIndividual , ; rdfs:label "nuclear medicine"@en ; ; "Q214963"@en ; ; ; ; ; "branch of medical imaging and therapy method that utilizes radiopharmaceuticals to diagnose, monitor, and treat various diseases at the molecular level"@en . ### https://portal.mardi4nfdi.de/entity/Q6775508 rdf:type owl:NamedIndividual , ; rdfs:label "numerical simulation"@en ; "Q122802790"@en ; ; ; ; "type of computer simulation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775509 rdf:type owl:NamedIndividual , ; rdfs:label "biodistribution of gamma-radiation emitting radiotracers in vivo"@en ; ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775510 rdf:type owl:NamedIndividual , ; rdfs:label "predicting simulation error and runtime"@en ; ; ; ; "modelling and predicting the simulation error and run time (depending on numerical parameters)"@en . ### https://portal.mardi4nfdi.de/entity/Q6775513 rdf:type owl:NamedIndividual , ; "e2~"@en , "e2¯"@en , "i2~"@en , "i2¯"@en , "r2~"@en , "r2¯"@en , "s2~"@en , "s2¯"@en , "e2"@en , "i2"@en , "r2"@en , "s2"@en ; "s2=s2¯+s2~e2=e2¯+e2~i2=i2¯+i2~r2=r2¯+r2~"@en ; rdfs:label "decomposition of population density fractions in the ODE region into spatially constant and fluctuating part"@en ; "Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part with mean zero."@en ; ; ; ; "decomposition into spatially constant mean and fluctuating part"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e2~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e2¯"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i2~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i2¯"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r2~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r2¯"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s2~"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s2¯"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775516 rdf:type owl:NamedIndividual , ; "ϕ"@en , "ℛ"@en , "𝒟"@en ; "0=(𝒟+ℛ)ϕ(𝐧,𝐦)"@en ; rdfs:label "stationary reaction-diffusion master equation"@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℛ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒟"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775519 rdf:type owl:NamedIndividual , ; "D"@en , "e"@en , "i"@en , "r"@en , "s"@en , "ν"@en ; "νTD∇s=νTD∇e=νTD∇i=νTD∇r=0"@en ; rdfs:label "zero flux condition"@en ; ; . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775568 rdf:type owl:NamedIndividual , ; rdfs:label "free fall"@en ; ; "Q140028"@en ; ; ; , , ; "motion of a body where its weight is the only force acting upon it"@en . ### https://portal.mardi4nfdi.de/entity/Q6775572 rdf:type owl:NamedIndividual , ; rdfs:label "wave vector"@en ; ; "Q657009"@en ; ; ; ; "wave vector"@en ; "vector pointing in the direction of a wave and whose magnitude is equal to the wavenumber"@en . ### https://portal.mardi4nfdi.de/entity/Q6775573 rdf:type owl:NamedIndividual , ; rdfs:label "wavenumber"@en ; ; "Q192510"@en ; "𝖫−1"@en ; ; ; ; "inverse of the wavelength, i.e. the spatial frequency of a wave."@en . ### https://portal.mardi4nfdi.de/entity/Q6775576 rdf:type owl:NamedIndividual , ; "u"@en , "ε"@en ; "𝜺(𝒖)=12(∇𝒖+(∇𝒖)⊤)"@en ; rdfs:label "strain tensor"@en ; ; "Q3083131"@en ; ; ; "symmetric tensor quantity of the strain caused by stress in matter"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775577 rdf:type owl:NamedIndividual , ; rdfs:label "stress tensor"@en ; ; ; , , ; "tensor that describes the state of stress at a point inside a material"@en . ### https://portal.mardi4nfdi.de/entity/Q6775578 rdf:type owl:NamedIndividual , ; rdfs:label "Hooke's law"@en ; ; "Q170282"@en ; ; ; , ; ; "empirical physical law of mechanics that the force on a spring is proportional to its displacement"@en . ### https://portal.mardi4nfdi.de/entity/Q6775579 rdf:type owl:NamedIndividual , ; rdfs:label "computational domain"@en ; ; ; ; "domain inside which a (ordinary or partial) differential equation is solved"@en . ### https://portal.mardi4nfdi.de/entity/Q6775580 rdf:type owl:NamedIndividual , ; rdfs:label "Poisson's ratio"@en ; ; "Q190453"@en ; ; ; ; ; "parameter of elastic materials: ratio of transverse strain to axial strain"@en . ### https://portal.mardi4nfdi.de/entity/Q6775581 rdf:type owl:NamedIndividual , ; rdfs:label "structural load"@en ; ; "Q7964839"@en ; ; ; "forces, deformations, or accelerations applied to a structure or its components"@en . ### https://portal.mardi4nfdi.de/entity/Q6775582 rdf:type owl:NamedIndividual , ; rdfs:label "length of plate with a hole"@en ; ; ; "length of the plate with a hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6775583 rdf:type owl:NamedIndividual , ; rdfs:label "radius of hole in a plate"@en ; ; ; "radius of the hole in a plate"@en . ### https://portal.mardi4nfdi.de/entity/Q6775584 rdf:type owl:NamedIndividual , ; "a"@en , "l"@en , "Ω"@en ; "Ω=[0,l]2∖{(x,y)∣x2+y2<a}"@en ; rdfs:label "plate with a hole: geometry"@en ; "For use in a practical simulation, we consider a finite size square-shaped subdomain of the infinite plate around the hole. The computational effort is further reduced by only simulating one quarter of the domain and assuming symmetry conditions at the edges."@en ; ; ; "computational domain for simulations of a concrete plane with a hole"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775585 rdf:type owl:NamedIndividual , ; "σ"@en ; "∇⋅σ=0"@en ; rdfs:label "Cauchy momentum equation: elastostatic limit, no body forces"@en ; "For the elastostatic limit (no velocities or accelerations and for the special case of vanishing body forces), the divergence of the stress tensor has to vanish everywhere in the computational domain. Does this equation have a specific name?"@en ; ; ; ; ; "vector partial differential equation describing non-relativistic momentum transport in a continuum"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775586 rdf:type owl:NamedIndividual , ; "F"@en , "u"@en , "ρ"@en , "σ"@en ; "∇⋅σ+F=ρu¨"@en ; rdfs:label "Cauchy momentum equation"@en ; ; "Q4178434"@en ; ; ; ; ; ; "vector partial differential equation describing non-relativistic momentum transport in a continuum"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775587 rdf:type owl:NamedIndividual , ; rdfs:label "constitutive equation"@en ; ; "Q1937401"@en ; ; ; ; "relation between two physical quantities that is specific to a material or substance"@en . ### https://portal.mardi4nfdi.de/entity/Q6775588 rdf:type owl:NamedIndividual , ; rdfs:label "physical law"@en ; ; "Q214070"@en ; ; ; "scientific law in physics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775589 rdf:type owl:NamedIndividual , ; rdfs:label "body force"@en ; ; "Q1759756"@en ; ; ; ; "force that acts throughout the volume of a body"@en . ### https://portal.mardi4nfdi.de/entity/Q6775590 rdf:type owl:NamedIndividual , ; "E"@en , "ε"@en , "ν"@en , "σ"@en ; "𝝈(𝜺)=E1−ν2((1−ν)𝜺+νtr𝜺𝑰2)"@en ; rdfs:label "plane stress"@en ; ; "Q7201019"@en ; ; ; ; ; "condition where the stress vector is zero across a particular plane"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775591 rdf:type owl:NamedIndividual , ; "u"@en , "Ω"@en ; "uy=0on{(x,y)∈∂Ω|y=0}"@en ; rdfs:label "lower boundary for plate with a hole"@en ; ; ; ; "Dirichlet boundary condition for displacements in a plate with a hole: lower boundary"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775592 rdf:type owl:NamedIndividual , ; "u"@en , "Ω"@en ; "ux=0on{(x,y)∈∂Ω|x=0}"@en ; rdfs:label "left boundary for plate with a hole"@en ; ; ; ; "Dirichlet boundary condition for displacements in a plate with a hole: left boundary"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775593 rdf:type owl:NamedIndividual , ; rdfs:label "Hill's muscle model"@en ; ; "Q10331394"@en ; ; ; ; ; ; ; "biomechanical paradigm explaining how muscles work"@en . ### https://portal.mardi4nfdi.de/entity/Q6775595 rdf:type owl:NamedIndividual , ; "σ"@en ; "σ33=σ13=σ31=σ32=σ23=0"@en ; rdfs:label "plane stress condition"@en ; "When that situation occurs over an entire element of a structure, as is often the case for thin plates, the stress analysis is considerably simplified, as the stress state can be represented by a tensor of dimension 2"@en ; ; ; , , ; "In continuum mechanics, a material is under plane stress if the stress vector is zero across a particular plane."@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775596 rdf:type owl:NamedIndividual , ; "l"@en , "n"@en , "t"@en , "Ω"@en , "σa"@en ; "t=σa⋅non{(x,y)∈∂Ω|x=l∨y=l}"@en ; rdfs:label "outer boundary for plate with a hole"@en ; ; ; "Neumann boundary condition for displacements in a plate with a hole: outer boundary"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σa"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775597 rdf:type owl:NamedIndividual , ; rdfs:label "traction"@en ; ; "Q1852039"@en ; ; ; "physical process in which a tangential force is transmitted across an interface between two bodies through dry friction or an intervening fluid film resulting in motion, stoppage or the transmission of power"@en . ### https://portal.mardi4nfdi.de/entity/Q6775598 rdf:type owl:NamedIndividual , ; "a"@en , "p"@en , "r"@en , "x"@en , "y"@en , "θ"@en , "σ"@en ; "σrr(r,θ)=p2(1−a2r2)+p2(1−a2r2)(1−3a2r2)cos⁡(2θ)σθθ(r,θ)=p2(1+a2r2)−p2(1+3a4r4)cos⁡(2θ)σrθ(r,θ)=−p2(1−a2r2)(1+3a2r2)sin⁡(2θ)"@en , "σxx(r,θ)=3a4pcos⁡(4θ)2r4−a2p⋅(1.5cos⁡(2θ)+cos⁡(4θ))r2+pσyy(r,θ)=−3a4pcos⁡(4θ)2r4−a2p⋅(cos⁡(2θ)2−cos⁡(4θ))r2σxy(r,θ)=3a4psin⁡(4θ)2r4−a2p⋅(sin⁡(2θ)2+sin⁡(4θ))r2"@en ; rdfs:label "Kirsch equations"@en ; ; "Q3730893"@en ; ; ; ; ; ; ; "analytic solution for the elastic stresses around a hole in an infinite plate under one directional tension"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775600 rdf:type owl:NamedIndividual , ; rdfs:label "mechanical load"@en ; ; "Q815284"@en ; ; ; ; "external mechanical resistance against which a machine acts"@en . ### https://portal.mardi4nfdi.de/entity/Q6775604 rdf:type owl:NamedIndividual , ; "r"@en , "x"@en , "y"@en , "θ"@en ; "x=rcos⁡θy=rsin⁡θ"@en ; rdfs:label "polar coordinate system"@en ; ; "PolarCoordinates"@en ; "polar coordinates"@en ; "Q62494"@en ; "Polar_coordinates"@en ; "poliarnaia-sistema-koordinat-631683"@en ; ; ; , ; ; "1.5.E10"@en ; "Polar coordinate system"@en ; ; "Polar coordinate system"@en ; "/m/068sn"@en ; "Polar-Coordinate-System"@en , "Polar-Coordinates-2"@en ; "topic/polar-coordinates"@en ; "scot/11946"@en ; "PolarCoordinateSystem"@en ; "polarkoordinater"@en ; ; ; ; "40069579"@en ; "polar_coordinates"@en ; "coordinate-polari"@en ; "C40069579"@en ; "polært_koordinatsystem"@en ; "4323692-3"@en ; "095927"@en ; "two-dimensional coordinate system where each point is determined by a distance from reference point and an angle from a reference direction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775605 rdf:type owl:NamedIndividual , ; "r"@en , "x"@en , "y"@en , "z"@en , "θ"@en , "ϕ"@en ; "x=rsin⁡θcos⁡ϕy=rsin⁡θsin⁡ϕz=rcos⁡θ"@en ; rdfs:label "spherical coordinate system"@en ; ; "SphericalCoordinates"@en ; "Q203218"@en ; ; ; , , ; ; "spherical coordinate system"@en ; "1.5.E16"@en ; "Spherical coordinates"@en ; "/m/0773d"@en ; "327"@en ; "Spherical-Coordinate-System"@en ; "spherical-coordinates"@en ; "02282022n"@en ; "topic/spherical-coordinate-system"@en ; ; ; , , ; "126990412"@en ; "C126990412"@en ; "4175888"@en ; "sfærisk_koordinatsystem"@en ; "7521117-8"@en ; "095929"@en ; "coordinate system based around angle and distance from the origin"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775606 rdf:type owl:NamedIndividual , ; rdfs:label "Cartesian coordinate system"@en ; ; "Q62912"@en ; ; ; , , ; ; ; "coordinate system that specifies each point uniquely by a pair or triple of real numbers called coordinates"@en . ### https://portal.mardi4nfdi.de/entity/Q6775607 rdf:type owl:NamedIndividual , ; rdfs:label "coordinate system"@en ; ; "Q11210"@en ; ; ; , , ; "system for determining the position of a point in space"@en . ### https://portal.mardi4nfdi.de/entity/Q6775608 rdf:type owl:NamedIndividual , ; rdfs:label "Cartesian coordinate x"@en ; ; ; ; "x-coordinate of a point in space"@en . ### https://portal.mardi4nfdi.de/entity/Q6775609 rdf:type owl:NamedIndividual , ; rdfs:label "Cartesian coordinate y"@en ; ; ; ; "y-coordinate of a point in space"@en . ### https://portal.mardi4nfdi.de/entity/Q6775610 rdf:type owl:NamedIndividual , ; rdfs:label "Cartesian coordinate z"@en ; ; ; ; "z-coordinate of a point in space"@en . ### https://portal.mardi4nfdi.de/entity/Q6775613 rdf:type owl:NamedIndividual , ; rdfs:label "finite element method"@en ; ; "Q220184"@en ; ; ; "numerical method for solving physical or engineering problems"@en . ### https://portal.mardi4nfdi.de/entity/Q6775614 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: solve variational discretized problem"@en ; ; ; , , , ; ; "solve variational discretized version of the plate with a hole problem"@en . ### https://portal.mardi4nfdi.de/entity/Q6775615 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: finite element discretization"@en ; ; ; , , ; "finite element discretization of a plate with a hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6775616 rdf:type owl:NamedIndividual , ; rdfs:label "postprocessing (comparing stress)"@en ; ; ; , , ; "post processing of simulations of mechanical stress tensor: Comparison with analytic solution"@en . ### https://portal.mardi4nfdi.de/entity/Q6775617 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: parameter determination"@en ; ; ; , , , , , ; "determining parameters (Young modulus, Poisson ratio) from measured strain-stress data"@en . ### https://portal.mardi4nfdi.de/entity/Q6775618 rdf:type owl:NamedIndividual , ; rdfs:label "weak formulation"@en ; ; "Q9993851"@en ; ; ; ; ; "mathematical concept permitting the transfer of concepts of linear algebra to solve problems such as PDEs"@en . ### https://portal.mardi4nfdi.de/entity/Q6775619 rdf:type owl:NamedIndividual , ; "B"@en , "f"@en , "t"@en , "u"@en , "v"@en , "Ω"@en , "ε"@en , "σ"@en ; "∫Ωε(v):σ(ε(u))dx=∫∂Ωt⋅vdsB(u,v)=f(v)∀v"@en ; rdfs:label "Cauchy momentum equation: weak formulation"@en ; ; ; ; ; ; "weak formulation of the Cauchy momentum equation for a plate with a hole"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775620 rdf:type owl:NamedIndividual , ; "v"@en ; "v(x)=0forx∈∂Ω"@en ; rdfs:label "weak formulation: test function"@en ; "usually it is demanded that test function vanishes on the domain boundary"@en ; ; ; , ; "to be used in the weak formulations to solve PDEs"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775622 rdf:type owl:NamedIndividual , ; "ℏ"@en , "F"@en , "V"@en , "p"@en , "q"@en , "Δt"@en , "ψ"@en , "t̂"@en , "i"@en ; "q(t+Δt2)=q(t)+Δt2p(t)Mψ(t+Δt2)=exp⁡(−iℏΔt2t̂)ψ(t)p(t+Δt)=p(t)+ΔtF(t+Δt2)ψ(t+Δt)=exp⁡(−iℏΔt2t̂)exp⁡(−iℏΔtV(t+Δt2))ψ(t+Δt2)q(t+Δt)=q(t+Δt2)+Δt2p(t+Δt)M"@en ; rdfs:label "pickaback integrator for quantum-classical dynamics"@en ; ; ; ; "symplectic time integration scheme for mean-field or Ehrenfest approach to quantum-classical dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t̂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775623 rdf:type owl:NamedIndividual , ; rdfs:label "heavy particle momentum"@en ; ; ; "momentum(a) of the heavy particle(s) in quantum-classical dynamics models"@en . ### https://portal.mardi4nfdi.de/entity/Q6775625 rdf:type owl:NamedIndividual , ; rdfs:label "action"@en ; ; "Q846785"@en ; "𝖫2𝖬𝖳−1"@en ; ; ; "Action"@en ; ; "physical quantity of dimension energy × time"@en . ### https://portal.mardi4nfdi.de/entity/Q6775627 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: analytical solution"@en ; ; ; , , , , , ; :File:Kirsch_hoop_stress.png ; "analytical approach to solve strain-stress relation for a plate with a hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6775628 rdf:type owl:NamedIndividual , ; rdfs:label "stress tensor (analytic solution)"@en ; ; ; "analytic solution for the stress tensor"@en . ### https://portal.mardi4nfdi.de/entity/Q6775629 rdf:type owl:NamedIndividual , ; "Δ"@en , "σ"@en , "σa"@en ; "Δ≡|σ−σa|"@en ; rdfs:label "stress tensor (deviation)"@en ; ; ; "deviation of the stress tensor from the analytic solution"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σa"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775630 rdf:type owl:NamedIndividual , ; rdfs:label "theoretical chemistry"@en ; ; "Q321150"@en ; ; ; ; ; ; "branch of chemistry which develops and applies theoretical concepts"@en . ### https://portal.mardi4nfdi.de/entity/Q6775632 rdf:type owl:NamedIndividual , ; rdfs:label "nonadiabatic molecular dynamics"@en ; "Used to describe the dynamics of a system comprising of light/fast and heavy/slow particles where the classical approximation can be only justified for the latter ones, as is usually the case in molecular dynamics. There, non-adiabatic transitions of the quantum subsystem (usually electrons) can be triggered by dynamics of the classical subsystem (usually nuclei) and vice versa. Note that the many different approaches to quantum-classical dynamics, most notably surface hopping trajectories simulations, differ in the way how the nonadiabatic transition probabilities are calculated."@en ; ; ; ; , , ; , , ; ; "molecular dynamics simulations including nonadiabatic transitions"@en . ### https://portal.mardi4nfdi.de/entity/Q6775633 rdf:type owl:NamedIndividual , ; rdfs:label "plasma physics"@en ; ; "Q5615097"@en ; "Plasma is a state of matter that results from a gaseous state having undergone some degree of ionisation. It thus consists of a significant portion of charged particles (ions and/or electrons). While rarely encountered on Earth, it is estimated that 99.9% of all ordinary matter in the universe is plasma. Stars are almost pure balls of plasma, and plasma dominates the rarefied intracluster medium and intergalactic medium. Plasma can be artificially generated, for example, by heating a neutral gas or subjecting it to a strong electromagnetic field."@en ; ; ; ; ; "branch of physics dealing with a state of matter consisting of ionized gas"@en . ### https://portal.mardi4nfdi.de/entity/Q6775634 rdf:type owl:NamedIndividual , ; rdfs:label "nonthermal plasma"@en ; ; "Q1513560"@en ; "Non-thermal (or cold) plasmas are not in thermodynamic equilibrium, because the electron temperature is much hotter than the temperature of heavy species. These plasmas are used in a large variety of technical processes and applications ranging from surface processing, gas conversion and agriculture to plasma medicine"@en ; ; ; ; "non-equilibrium state of matter"@en . ### https://portal.mardi4nfdi.de/entity/Q6775635 rdf:type owl:NamedIndividual , ; rdfs:label "electric discharge"@en ; ; "Q488071"@en ; "The properties and effects of electric discharges are useful over a wide range of magnitudes. Tiny pulses of current are used to detect ionizing radiation in a Geiger–Müller tube. A low steady current can illustrate the gas spectrum in a gas-filled tube. A neon lamp is an example of a gas-discharge lamp, useful both for illumination and as a voltage regulator. A flashtube generates a short pulse of intense light useful for photography by sending a heavy current through a gas arc discharge. Corona discharges are used in photocopiers."@en ; ; , ; ; , ; :File:FEDM_spatial_profiles.png ; , , ; , , ; "flow of electric charge through a gas, liquid or solid"@en . ### https://portal.mardi4nfdi.de/entity/Q6775639 rdf:type owl:NamedIndividual , ; rdfs:label "fluid Poisson model: non-thermal plasma"@en ; "A set of continuity|balance equations for electrons, ions and neutral species, coupled to Poisson's equation for the electric potential"@en ; ; ; ; ; , , , , , , ; :File:FEDM_code.png ; , , ; ; , , , ; , , ; ; "model for non-thermal plasmas, including all relevant plasma species"@en . ### https://portal.mardi4nfdi.de/entity/Q6775640 rdf:type owl:NamedIndividual , ; rdfs:label "strong formulation"@en ; ; ; ; "mathematical concept: strong formulation of a PDE"@en . ### https://portal.mardi4nfdi.de/entity/Q6775641 rdf:type owl:NamedIndividual , ; rdfs:label "analytical solution"@en ; ; ; , ; "solution to a mathematical problem as a closed-form expression"@en . ### https://portal.mardi4nfdi.de/entity/Q6775642 rdf:type owl:NamedIndividual , ; rdfs:label "microbiology"@en ; "Q7193"@en ; "Microbiology is the scientific study of microorganisms, including bacteria, viruses, fungi, and other microscopic life forms. It explores their structure, function, ecology, and roles in health, disease, and the environment. The discipline connects fundamental biology with applications in medicine, biotechnology, and industry."@en ; ; ; ; ; "study of microscopic organisms"@en . ### https://portal.mardi4nfdi.de/entity/Q6775643 rdf:type owl:NamedIndividual , ; rdfs:label "bacterial growth"@en ; "Q762045"@en ; "The bacterial growth problem examines how bacteria multiply and change over time under varying environmental and nutrient conditions. It explores factors such as temperature, nutrient availability, and competition that influence the rate and extent of bacterial population growth."@en ; ; ; , ; "growth of bacterial colonies"@en . ### https://portal.mardi4nfdi.de/entity/Q6775644 rdf:type owl:NamedIndividual , ; rdfs:label "Monod equation"@en ; "Q1944979"@en ; "The Monod model explains how the specific growth rate of microorganisms depends on the availability of a limiting nutrient. It shows that the specific growth rate increases with nutrient concentration but eventually levels off when the microorganisms reach their maximum specific growth rate."@en ; ; ; ; ; ; , , , , , ; ; "Empirical model for microorganisms growth"@en . ### https://portal.mardi4nfdi.de/entity/Q6775645 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Monod equation)"@en ; "This task performs nonlinear parameter estimation using experimental data for substrate concentration and specific growth rate. The objective is to determine the maximum specific growth rate and Monod constant by fitting the model to the data."@en ; ; ; , , , , ; ; "Monod equation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775646 rdf:type owl:NamedIndividual , ; rdfs:label "specific growth rate"@en ; ; ; ; "specific rate of growth"@en . ### https://portal.mardi4nfdi.de/entity/Q6775647 rdf:type owl:NamedIndividual , ; rdfs:label "maximum specific growth rate"@en ; ; ; "maximal rate of specific growth"@en . ### https://portal.mardi4nfdi.de/entity/Q6775648 rdf:type owl:NamedIndividual , ; rdfs:label "Monod constant"@en ; ; ; ; "concentration at which the growth rate is half the maximum growth rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6775651 rdf:type owl:NamedIndividual , ; "μ"@en , "KM"@en , "cS"@en , "μmax"@en ; "μ=μmaxcSKMcS"@en ; rdfs:label "Monod specific growth rate equation"@en ; ; ; ; "describes the specific growth rate of microorganisms based on nutrient concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775654 rdf:type owl:NamedIndividual , ; rdfs:label "Andrews model"@en ; "The Andrews model is a mathematical model that describes the specific growth rate of micoorganisms. It modifies the traditional Monod model to account for the negative effects of high substrate concentrations. When the substrate level becomes too high, the specific growth rate decreases due to inhibition. This model is widely used in fermentation and other bioprocesses to predict growth under inhibitory conditions."@en ; ; ; ; ; ; ; ; "microbial growth model accounting for substrate inhibition"@en . ### https://portal.mardi4nfdi.de/entity/Q6775655 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Andrews model)"@en ; "This task performs nonlinear parameter estimation using experimental data for substrate concentration and specific growth rate. The objective is to determine the maximum specific growth rate, inhibition constant and Monod constant by fitting the model to the data."@en ; ; ; , , , , , ; "Andrews Model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775656 rdf:type owl:NamedIndividual , ; rdfs:label "inhibition constant (Andrews)"@en ; ; ; "substrate inhibition constant following Andrews"@en . ### https://portal.mardi4nfdi.de/entity/Q6775658 rdf:type owl:NamedIndividual , ; "μ"@en , "KM"@en , "Ki"@en , "cS"@en , "μmax"@en ; "μ=μmaxcSKM+cS+cS2Ki"@en ; rdfs:label "Andrews specific growth rate equation"@en ; ; ; ; ; ; "describes the specific growth rate of micororganisms based on nutrient concentration and inhibition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ki"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775659 rdf:type owl:NamedIndividual , ; "Ki"@en ; "Ki→∞"@en ; rdfs:label "non-inhibiting substrate assumption"@en ; "The inhibition constant defines the substrate concentration at which inhibition of bacterial growth begins to appear. It marks the highest concentration where the Monod relation between growth rate and substrate concentration remains valid. Above this level, additional substrate reduces rather than enhances growth. A large inhibition constant indicates weak inhibition, while a small one indicates strong inhibition."@en ; ; ; "substrate assumed to have no inhibitory effect"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ki"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775660 rdf:type owl:NamedIndividual , ; rdfs:label "continuity equation"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6775661 rdf:type owl:NamedIndividual , ; rdfs:label "sources and sinks"@en ; ; "Q131357309"@en ; ; ; ; "vector field analogy in physics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775662 rdf:type owl:NamedIndividual , ; "ρ"@en , "ϕ"@en , "ϵr"@en , "ϵ0"@en ; "−ϵ0ϵr∇2ϕ=ρ"@en ; rdfs:label "Poisson's equation for the electric potential"@en ; ; ; ; ; ; ; "for the electric potenial generated by (one or several species of) charged particles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵr"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775663 rdf:type owl:NamedIndividual , ; "Δ"@en ; "Δϕ=f"@en ; rdfs:label "Poisson's equation"@en ; ; "PoissonsEquation"@en ; "Q827688"@en ; "Poisson_equation"@en ; "uravnenie-puassona-b6b509"@en ; "mathematics/poisson-equation"@en , "physics-and-astronomy/poisson-equation"@en ; ; ; "PoissonsEquation"@en ; ; "Poisson's equation"@en ; "/m/01bhps"@en ; "7608"@en ; "topic/Poissons-equation"@en ; ; "96716743"@en ; "C96716743"@en ; "poissons-ekvation"@en ; "Poissons_ligning"@en ; , ; "4174972-8"@en ; "partial differential equation of elliptic type with broad utility in mechanical engineering and theoretical physics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Δ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775664 rdf:type owl:NamedIndividual , ; rdfs:label "biological wastewater treatment"@en ; "Q10429773"@en ; ; ; , ; "removing contaminants from wastewater through the metabolic activity of microorganisms"@en . ### https://portal.mardi4nfdi.de/entity/Q6775665 rdf:type owl:NamedIndividual , ; rdfs:label "kinetic batch reactor model (Monod)"@en ; "The Monod-based kinetic batch reactor model is a mathematical model that describes the growth of microorganisms and substrate consumption in a closed system. It relates the rate of biomass change to the concentration of a limiting substrate and includes a death rate coefficient to account for microbial decay."@en ; ; ; ; ; ; ; "mathematical model for biomass growth and substrate utilization in a batch reactor following Monod"@en . ### https://portal.mardi4nfdi.de/entity/Q6775666 rdf:type owl:NamedIndividual , ; rdfs:label "evaluation of biokinetic parameters"@en ; "This task performs nonlinear parameter estimation using experimental data for biomass concentration and substrate concentration in a bioreactor. The objective is to determine key kinetic parameters, including the maximum specific growth rate, Monod constant, and death rate coefficient, by fitting a dynamic model of biomass growth and substrate consumption to the observed data."@en ; ; ; , , , , , ; "kinetic batch reactor model following Monod"@en . ### https://portal.mardi4nfdi.de/entity/Q6775667 rdf:type owl:NamedIndividual , ; rdfs:label "kinetic batch reactor model (Haldane)"@en ; "The Haldane-based kinetic batch reactor model is a mathematical model that describes the growth of microorganisms and substrate consumption in a closed system. It relates the rate of biomass change to the concentration of a limiting substrate, includes a death rate coefficient to account for microbial decay, and a substrate inhibition constant to account for substrate inhibition at high concentrations."@en ; ; ; ; ; ; ; ; "mathematical model for biomass growth and substrate utilization in a batch reactor following Haldane"@en . ### https://portal.mardi4nfdi.de/entity/Q6775668 rdf:type owl:NamedIndividual , ; rdfs:label "evaluation of biokinetic parameters"@en ; "This task performs nonlinear parameter estimation using experimental data for biomass concentration and substrate concentration in a bioreactor. The objective is to determine key kinetic parameters, including the maximum specific growth rate, Monod constant, inhibition constant, and death rate coefficient, by fitting a dynamic model of biomass growth and substrate consumption to the observed data."@en ; ; ; , , , , , , ; "kinetic batch reactor model following Haldane"@en . ### https://portal.mardi4nfdi.de/entity/Q6775669 rdf:type owl:NamedIndividual , ; rdfs:label "biomass concentration"@en ; ; ; "amount of biomass present in a reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6775670 rdf:type owl:NamedIndividual , ; rdfs:label "death rate coefficient"@en ; ; ; "coefficient representing the rate at which microorganisms die"@en . ### https://portal.mardi4nfdi.de/entity/Q6775671 rdf:type owl:NamedIndividual , ; rdfs:label "biomass growth rate"@en ; ; ; "rate of change of microbial biomass concentration over time"@en . ### https://portal.mardi4nfdi.de/entity/Q6775672 rdf:type owl:NamedIndividual , ; rdfs:label "substrate consumption rate"@en ; ; ; "rate of change of substrate concentration over time"@en . ### https://portal.mardi4nfdi.de/entity/Q6775673 rdf:type owl:NamedIndividual , ; rdfs:label "yield coefficient"@en ; ; ; "parameter relating the amount of microbial biomass produced to the amount of substrate consumed"@en . ### https://portal.mardi4nfdi.de/entity/Q6775674 rdf:type owl:NamedIndividual , ; "X"@en , "dXdt"@en , "KM"@en , "cS"@en , "kd"@en , "μmax"@en ; "dXdt=μmaxcSKM+cSX−kdX"@en ; rdfs:label "biomass kinetic equation (Monod)"@en ; ; ; ; ; "equation describing the rate of change of biomass concentration over time following Monod"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dXdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kd"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775675 rdf:type owl:NamedIndividual , ; "X"@en , "Y"@en , "dcSdt"@en , "KM"@en , "cS"@en , "μmax"@en ; "dcSdt=−μmaxcSY(KM+cS)X"@en ; rdfs:label "substrate kinetic equation (Monod)"@en ; ; ; ; "equation describing the rate of change of substrate concentration over time following Monod"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcSdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775676 rdf:type owl:NamedIndividual , ; "X"@en , "dXdt"@en , "KM"@en , "Ki"@en , "cS"@en , "kd"@en , "μmax"@en ; "dXdt=μmaxcSKM+cS+cS2KiX−kdX"@en ; rdfs:label "biomass kinetic equation (Haldane)"@en ; ; ; ; ; ; "equation describing the rate of change of biomass concentration over time following Haldane"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dXdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ki"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kd"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775677 rdf:type owl:NamedIndividual , ; "X"@en , "Y"@en , "dcSdt"@en , "KM"@en , "Ki"@en , "cS"@en , "μmax"@en ; "dcSdt=−μmaxcSY(KM+cS+cS2Ki)X"@en ; rdfs:label "substrate kinetic equation (Haldane)"@en ; ; ; ; ; "equation describing the rate of change of substrate concentration over time following Haldane"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcSdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ki"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775681 rdf:type owl:NamedIndividual , ; "X"@en , "Y"@en , "dSdt"@en , "dXdt"@en , "KM"@en , "cS"@en , "kd"@en , "μmax"@en ; "dXdt=μmaxcSKM+cSX−kdXdcSdt=−μmaxcSY(KM+cS)X"@en ; rdfs:label "biomass-substrate kinetic equations (Monod)"@en ; ; ; , ; ; "interaction between biomass growth and substrate biodegradation in a batch reactor following Monod"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dSdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dXdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kd"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775682 rdf:type owl:NamedIndividual , ; "X"@en , "Y"@en , "dXdt"@en , "dcSdt"@en , "KM"@en , "Ki"@en , "cS"@en , "kd"@en , "μmax"@en ; "dXdt=μmaxcSKM+cS+cS2KiX−kdXdcSdt=−μmaxcSY(KM+cS+cS2Ki)X"@en ; rdfs:label "biomass-substrate kinetic equations (Haldane)"@en ; ; ; , ; ; ; "interaction between biomass growth and substrate biodegradation in a batch reactor following Haldane"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "X"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dXdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "dcSdt"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KM"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ki"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kd"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μmax"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775683 rdf:type owl:NamedIndividual , ; "D"@en , "j"@en , "n"@en , "q"@en , "μ"@en , "ϕ"@en ; "j=qnμ∇ϕ−∇(Dn)"@en ; rdfs:label "particle flux (drift-diffusion)"@en ; ; ; , ; "drift-diffusion model for the flux of charged particles in an electric field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775684 rdf:type owl:NamedIndividual , ; rdfs:label "electrical mobility"@en ; ; "Q900648"@en ; "𝖬−1𝖳2𝖨"@en ; ; ; "Mobility"@en ; , ; "quotient of the mean drift speed of a charged particle caused by an electric field in a medium and the electric field strength"@en . ### https://portal.mardi4nfdi.de/entity/Q6775685 rdf:type owl:NamedIndividual , ; rdfs:label "mean electron energy"@en ; ; ; ; "from local-mean-energy approximation for hydrodynamic plasma descriptions"@en . ### https://portal.mardi4nfdi.de/entity/Q6775687 rdf:type owl:NamedIndividual , ; "n"@en , "u"@en , "w"@en ; "w≡nu"@en ; rdfs:label "electron energy density"@en ; ; ; "energy density of electrons in a plasma"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "w"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775689 rdf:type owl:NamedIndividual , ; rdfs:label "mobility of electron energy"@en ; ; ; "coefficient for the drift of electron energy in a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6775690 rdf:type owl:NamedIndividual , ; rdfs:label "diffusivity of electron energy"@en ; ; ; "coefficient for the diffusion of electron energy in a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6775691 rdf:type owl:NamedIndividual , ; rdfs:label "electron energy flux"@en ; ; ; "flux of electron energy in a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6775692 rdf:type owl:NamedIndividual , ; "D"@en , "Q"@en , "b"@en , "w"@en , "ϕ"@en ; "Q=wb∇ϕ−∇(Dw)"@en ; rdfs:label "electron energy flux (drift-diffusion)"@en ; ; ; "drift-diffusion model for the flux of electron energy"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "D"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "w"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775693 rdf:type owl:NamedIndividual , ; rdfs:label "electron energy source"@en ; ; ; "source and sink terms describing the gain and loss of electron energy in collision processes in a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6775694 rdf:type owl:NamedIndividual , ; "E"@en , "Q"@en , "e"@en , "j"@en , "t"@en , "w"@en , "S~"@en ; "∂w∂t+∇⋅Q=−eE⋅j+S~"@en ; rdfs:label "continuity equation for electron energy"@en ; ; ; ; "continuity | balance equation for the electron energy in a plasma"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "w"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775695 rdf:type owl:NamedIndividual , ; rdfs:label "electron flux density"@en ; ; ; "flux density of electrons in a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6775697 rdf:type owl:NamedIndividual , ; rdfs:label "Robin boundary condition"@en ; ; "Q748993"@en ; ; ; , , ; ; "linear combination of Dirichlet and Neumann boundary conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6775698 rdf:type owl:NamedIndividual , ; "E"@en , "N"@en , "j"@en , "n"@en , "q"@en , "r"@en , "μ"@en , "vth"@en ; "N⋅j=1−r1+r(qμN⋅E+12vthn)"@en ; rdfs:label "Robin boundary condition for particle flux"@en ; ; ; ; ; "flux boundary condition of the Robin type for a flux of charged particles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "r"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vth"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775699 rdf:type owl:NamedIndividual , ; "T"@en , "m"@en , "π"@en , "kB"@en , "vth"@en ; "vth≡8kBTπm"@en ; rdfs:label "thermal velocity"@en ; ; "Q4455262"@en ; ; ; "typical velocity of the thermal motion of particles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "π"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "vth"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775700 rdf:type owl:NamedIndividual , ; rdfs:label "reflection coefficient"@en ; ; "Q1852282"@en ; ; ; "parameter that describes how much of a wave is reflected by an impedance discontinuity in the transmission medium"@en . ### https://portal.mardi4nfdi.de/entity/Q6775710 rdf:type owl:NamedIndividual , ; rdfs:label "wastewater treatment"@en ; "Q20127660"@en ; ; ; , ; "converting wastewater into an effluent for return to the water cycle"@en . ### https://portal.mardi4nfdi.de/entity/Q6775711 rdf:type owl:NamedIndividual , ; rdfs:label "environmental engineering"@en ; "Q146326"@en ; ; ; , ; ; "professional engineering discipline related to environmental science"@en . ### https://portal.mardi4nfdi.de/entity/Q6775712 rdf:type owl:NamedIndividual , ; rdfs:label "chemical wastewater treatment"@en ; ; ; , , , , , , , , , , , , , , , , , , , , , , , , , , , , ; "removing contaminants from wastewater through chemical reactions or adsorption using reactive agents"@en . ### https://portal.mardi4nfdi.de/entity/Q6775713 rdf:type owl:NamedIndividual , ; rdfs:label "Freundlich isotherm model"@en ; "The Freundlich isotherm model is an empirical adsorption model that describes how solutes adhere to heterogeneous surfaces with varying affinities. It accounts for multilayer adsorption rather than a single uniform layer. The model is widely applied in environmental and chemical engineering to study pollutant adsorption on materials such as activated carbon, soil, and biochar."@en ; ; ; ; ; , , , , , , , , , , , , ; ; "mathematical model for equilibrium adsorption of solutes on heterogeneous surfaces"@en . ### https://portal.mardi4nfdi.de/entity/Q6775714 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Freundlich isotherm)"@en ; "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Freundlich capacity and adsorption intensity constants by fitting the linearized Freundlich equation to measured solute concentration and adsorbed amount data. The results characterize the adsorption capacity and surface heterogeneity of the adsorbent."@en ; ; ; , , , , ; ; "determine Freundlich capacity and intensity from experimental data"@en . ### https://portal.mardi4nfdi.de/entity/Q6775715 rdf:type owl:NamedIndividual , ; rdfs:label "adsorbed solute (equilibrium)"@en ; ; ; "amount of solute adsorbed per unit mass of adsorbent at equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6775716 rdf:type owl:NamedIndividual , ; rdfs:label "solute concentration (equilibrium)"@en ; ; ; ; "concentration of solute remaining in the solution phase at adsorption equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6775717 rdf:type owl:NamedIndividual , ; rdfs:label "Freundlich adsorption capacity constant"@en ; ; ; ; "empirical constant representing the adsorption capacity of the adsorbent in the Freundlich isotherm model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775718 rdf:type owl:NamedIndividual , ; rdfs:label "Freundlich adsorption intensity constant"@en ; ; ; ; "empirical constant indicating the adsorption intensity and surface heterogeneity in the Freundlich isotherm model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775719 rdf:type owl:NamedIndividual , ; "n"@en , "Ka"@en , "Sa"@en , "qa"@en ; "log⁡qa=log⁡Ka+1nlog⁡Sa"@en ; rdfs:label "Freundlich equation (linearized)"@en ; ; ; ; "linearized empirical adsorption isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ka"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sa"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qa"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775720 rdf:type owl:NamedIndividual , ; "n"@en , "Ka"@en , "Sa"@en , "qa"@en ; "qa=KaSa1n"@en ; rdfs:label "Freundlich equation"@en ; "Q1924292"@en ; ; ; ; ; "Empirical adsorption isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ka"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Sa"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qa"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775721 rdf:type owl:NamedIndividual , ; rdfs:label "Henry's isotherm model"@en ; "The Henry’s isotherm model is a fundamental adsorption model that describes the linear relationship between solute concentration in the fluid phase and the amount adsorbed on a solid surface. It assumes a homogeneous surface with uniform adsorption sites and is valid at low solute concentrations where adsorption is proportional to concentration. The model represents the initial linear region of more complex isotherms such as the Langmuir and Freundlich models. It is commonly used to characterize dilute adsorption systems in environmental and chemical engineering."@en ; ; ; ; ; ; ; "mathematical model describing linear adsorption equilibrium valid at low solute concentrations"@en . ### https://portal.mardi4nfdi.de/entity/Q6775722 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Henry's isotherm)"@en ; "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine Henry’s constant by fitting the linear Henry’s equation to measured solute concentration and adsorbed amount data. The results quantify the proportional relationship between solute concentration and adsorption at low concentrations, characterizing the initial adsorption behavior of the adsorbent."@en ; ; ; , , , ; ; "determine Henry's constant from experimental data"@en . ### https://portal.mardi4nfdi.de/entity/Q6775723 rdf:type owl:NamedIndividual , ; rdfs:label "Henry adsorption constant"@en ; ; "Q17022447"@en ; ; ; ; "adsorption proportionality constant at low solute concentrations"@en . ### https://portal.mardi4nfdi.de/entity/Q6775728 rdf:type owl:NamedIndividual , ; "KH"@en , "ce"@en , "qe"@en ; "qe=KHce"@en ; rdfs:label "Henry adsorption equation"@en ; ; ; ; "linear adsorption isotherm describing proportional equilibrium adsorption at low solute concentrations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KH"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775735 rdf:type owl:NamedIndividual , ; "H"@en , "|ϕ⟩"@en , "H^"@en ; "Hij=⟨ϕi|H^|ϕj⟩"@en ; rdfs:label "Hamiltonian operator (discretized)"@en ; ; ; ; "discretizing a Hamiltonian operator using a set of orthonormal basis functions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "|ϕ⟩"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H^"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775736 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: weak formulation, discretized model"@en ; ; ; ; ; "variational, discretized version of the model of the linear elastic model of a plate with a hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6775737 rdf:type owl:NamedIndividual , ; "B"@en , "f"@en , "α"@en ; "Bα=f"@en ; rdfs:label "Cauchy momentum equation: weak formulation, discretized"@en ; ; ; ; "discretized version of the weak formulation of the Cauchy momentum equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775745 rdf:type owl:NamedIndividual , ; "g"@en , "t"@en , "v"@en , "x"@en , "v∞"@en , "v0"@en , "x0"@en ; "x(t)=x0+v0t−v∞2gln⁡cosh⁡(gtv∞)v(t)=v0+v∞tanh⁡(gtv∞)"@en ; rdfs:label "free fall solution (air drag)"@en ; ; ; ; , ; ; "analytical solution to the free fall equation, including aerodynamic drag and assuming a uniform gravitational field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v∞"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775746 rdf:type owl:NamedIndividual , ; rdfs:label "Kriging model"@en ; ; ; , ; , , , ; ; "stochastic process with mean and second-moment structure used for regression"@en . ### https://portal.mardi4nfdi.de/entity/Q6775747 rdf:type owl:NamedIndividual , ; "Z(x)"@en , "𝒳"@en ; "Z(x),x∈𝒳"@en ; rdfs:label "stochastic process formulation"@en ; ; ; "formulation defining a stochastic process"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z(x)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒳"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775748 rdf:type owl:NamedIndividual , ; rdfs:label "index set"@en ; ; "Q21285678"@en ; ; ; "arbitrary set containing indices over which a mathematical entity is defined"@en . ### https://portal.mardi4nfdi.de/entity/Q6775749 rdf:type owl:NamedIndividual , ; "Ω"@en , "ℱ"@en , "𝒫"@en ; "(Ω,ℱ,𝒫)"@en ; rdfs:label "probability space"@en ; ; "Q623472"@en ; ; ; "mathematical construct that provides a formal model of a random process"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℱ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒫"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775750 rdf:type owl:NamedIndividual , ; rdfs:label "sample space"@en ; ; "SampleSpace"@en ; "Q467440"@en ; ; ; , , ; "Sample space"@en ; "/m/05qn0"@en ; ; ; "topic/sample-space"@en ; "scot/11953"@en ; ; ; "100279318"@en ; "C100279318"@en ; ; "3963647"@en , "4000881"@en ; "set of all possible outcomes or results of a statistical trial or experiment"@en . ### https://portal.mardi4nfdi.de/entity/Q6775751 rdf:type owl:NamedIndividual , ; rdfs:label "sigma-algebra"@en ; "Q217357"@en ; ; ; ; "algebraic structure closed under numerable union, intersection, and complement"@en . ### https://portal.mardi4nfdi.de/entity/Q6775752 rdf:type owl:NamedIndividual , ; rdfs:label "probability measure"@en ; ; "Q355020"@en ; ; ; "measure of total value one, generalizing probability distributions"@en . ### https://portal.mardi4nfdi.de/entity/Q6775753 rdf:type owl:NamedIndividual , ; "Z"@en , "𝒳"@en ; "(a){𝔼[Z(x+h)−Z(x)]=0,Var⁡(Z(x+h)−Z(x))=2γ(h)or alternatively(b){𝔼[Z(x)]=m(x),Cov⁡(Z(x),Z(x′))=C(x,x′)x,x′,h∈𝒳"@en ; rdfs:label "second-moment stochastic process specification"@en ; ; ; "description of second-moment structure of a stochastic process, including variance, covariance, or variogram relations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒳"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775754 rdf:type owl:NamedIndividual , ; "g"@en , "t"@en , "v"@en , "x"@en , "v0"@en , "x0"@en ; "x(t)=x0+v0t−12gt2v(t)=v0−gt"@en ; rdfs:label "free fall solution (vacuum)"@en ; ; ; , ; , ; ; "analytical solution to the free fall equation, neglecting aerodynamic drag and assuming a uniform gravitational field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775756 rdf:type owl:NamedIndividual , ; "n"@en , "q"@en , "ψ"@en , "μn"@en , "ϕn"@en , "𝐣n"@en ; "𝐣n=−qμnn(ψ,ϕn)∇ϕn"@en ; rdfs:label "current density relation for electrons"@en ; ; ; , ; "defining the density of electric current of electrons, e.g., in a semiconductor device"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐣n"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775757 rdf:type owl:NamedIndividual , ; "p"@en , "q"@en , "ψ"@en , "μp"@en , "ϕp"@en , "𝐣p"@en ; "𝐣p=−qμpp(ψ,ϕp)∇ϕp"@en ; rdfs:label "current density relation for holes"@en ; ; ; , ; "defining the density of electric current of holes, e.g., in a semiconductor device"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝐣p"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775758 rdf:type owl:NamedIndividual , ; rdfs:label "Gaussian-process regression model"@en ; ; ; , ; ; "Gaussian process model used for regression"@en . ### https://portal.mardi4nfdi.de/entity/Q6775766 rdf:type owl:NamedIndividual , ; rdfs:label "Langmuir isotherm model"@en ; "The Langmuir isotherm model is a theoretical adsorption isotherm that assumes monolayer adsorption of solute molecules onto a homogeneous surface with finite, identical adsorption sites. It is based on the assumption that once a site is occupied, no further adsorption can occur at that site. The model is widely used to describe adsorption processes in water and wastewater treatment, catalysis, and surface chemistry."@en ; ; , ; ; ; , , , , , , , , , , , ; ; "equation that relates the coverage or adsorption of molecules on a solid surface to gas pressure or concentration of a medium above the solid surface at a fixed temperature in equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6775767 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Langmuir adsorption model)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Langmuir adsorption constant and maximum monolayer adsorption capacity by fitting the nonlinear Langmuir equation directly to measured solute concentration and adsorbed amount data. The results quantify the adsorption affinity and monolayer capacity of the adsorbent without bias from linearization."@en ; ; ; , , , , ; ; ; "Langmuir adsorption model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775768 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Langmuir adsorption model)"@en ; "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Langmuir adsorption constant and maximum monolayer adsorption capacity by fitting the linearized Langmuir equation to measured solute concentration and adsorbed amount data. The results characterize the adsorption capacity and surface homogeneity of the adsorbent."@en ; ; ; , , , , ; ; "Langmuir adsorption model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775769 rdf:type owl:NamedIndividual , ; "KL"@en , "ka"@en , "kd"@en ; "KL≡kakd"@en ; rdfs:label "Langmuir adsorption constant"@en ; ; ; ; "constant representing adsorption affinity in the Langmuir isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ka"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kd"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775770 rdf:type owl:NamedIndividual , ; rdfs:label "maximum monolayer adsorption capacity"@en ; ; ; "maximum amount of solute that can form a monolayer on the adsorbent surface"@en . ### https://portal.mardi4nfdi.de/entity/Q6775771 rdf:type owl:NamedIndividual , ; "Ce"@en , "KL"@en , "qe"@en , "qm"@en ; "Ceqe=1KLqm+Ceqm"@en ; rdfs:label "linear Langmuir equation"@en ; ; ; ; "theoretical adsorption isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775772 rdf:type owl:NamedIndividual , ; "θ"@en , "Ce"@en , "KL"@en , "pe"@en , "qe"@en , "qm"@en ; "θ=KLCe1+KLCe"@en , "θ=KLpe1+KLpe"@en , "qe=qmKLCe1+KLCe"@en , "qe=qmKLpe1+KLpe"@en ; rdfs:label "Langmuir equation"@en ; ; ; ; ; "theoretical adsorption isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "pe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775773 rdf:type owl:NamedIndividual , ; "B"@en , "Ω"@en , "ε"@en , "σ"@en , "ψ"@en ; "Bij≡∫Ωε(ψi):σ(ε(ψj))dx"@en ; rdfs:label "Cauchy momentum equation: coefficient matrix"@en ; ; ; ; "coefficient matrix for the discretized version of a Cauchy momentum equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ε"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775774 rdf:type owl:NamedIndividual , ; "N"@en , "u"@en , "α"@en , "ψ"@en ; "u=∑i=1Nαiψi"@en ; rdfs:label "Cauchy momentum equation: unknown vector"@en ; ; ; ; "solution vector for the discretized version of a Cauchy momentum equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "α"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775775 rdf:type owl:NamedIndividual , ; "f"@en , "t"@en , "Ω"@en , "ψ"@en ; "fi≡∫∂Ωt⋅ψids"@en ; rdfs:label "Cauchy momentum equation: constant vector"@en ; ; ; ; "constant vector for the discretized version of a Cauchy momentum equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775777 rdf:type owl:NamedIndividual , ; rdfs:label "Hill-de Boer equilibrium constant"@en ; ; ; , ; "adsorption equilibrium constant in the Hill–de Boer isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6775778 rdf:type owl:NamedIndividual , ; rdfs:label "molar gas constant"@en ; ; "Q182333"@en ; ; ; ; ; "physical constant; the molar equivalent to the Boltzmann constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6775784 rdf:type owl:NamedIndividual , ; rdfs:label "number of basis functions"@en ; ; ; "number of elements in a basis set"@en . ### https://portal.mardi4nfdi.de/entity/Q6775785 rdf:type owl:NamedIndividual , ; rdfs:label "simple Kriging model"@en ; ; ; , ; "Kriging model with the assumption of a known constant mean value"@en . ### https://portal.mardi4nfdi.de/entity/Q6775786 rdf:type owl:NamedIndividual , ; "Z"@en , "𝒳"@en , "μ0"@en ; "𝔼[Z(x)]=μ0∀x∈𝒳,μ0∈ℝ (given/fixed)"@en ; rdfs:label "known constant mean value assumption"@en ; ; ; "assumption that a stochastic process has known constant mean value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒳"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775787 rdf:type owl:NamedIndividual , ; rdfs:label "ordinary Kriging model"@en ; ; ; , ; "Kriging model with the assumption of an unknown constant mean value"@en . ### https://portal.mardi4nfdi.de/entity/Q6775788 rdf:type owl:NamedIndividual , ; "Z"@en , "𝒳"@en , "μ0"@en ; "𝔼[Z(x)]=μ0∀x∈𝒳,μ0∈ℝ (unknown)"@en ; rdfs:label "unknown constant mean value assumption"@en ; ; ; "assumption that a stochastic process has a constant mean value that ist unknown"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒳"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775789 rdf:type owl:NamedIndividual , ; "v"@en , "x"@en ; "y≡(x,v)T"@en ; rdfs:label "free fall point"@en ; ; ; , ; "point in phase space (height, velocity) describing free fall"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775790 rdf:type owl:NamedIndividual , ; "x0"@en , "y0"@en ; "y0≡(x0,v0)T"@en ; rdfs:label "free fall initial point"@en ; ; ; , ; "initial point in phase space (height, velocity) describing free fall initial condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775791 rdf:type owl:NamedIndividual , ; "t"@en , "y"@en , "y0"@en ; "y(t=0)=y0"@en ; rdfs:label "free fall initial condition (phase space)"@en ; ; ; ; "initial condition for a point in phase space (height, velocity) describing free fall"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775792 rdf:type owl:NamedIndividual , ; rdfs:label "spatial prediction"@en ; "Spatial prediction is the research problem of estimating the value of a variable at locations where no observations are available, based on measurements taken at other locations and on the spatial structure of the phenomenon under study. It aims to exploit spatial dependence, similarity, and possibly additional covariate information in order to infer unknown values across a spatial domain. Typical objectives include accurate interpolation, uncertainty quantification, and the generation of continuous prediction maps from discrete data. Spatial prediction plays a central role in fields such as geostatistics, environmental science, engineering, and remote sensing, where observations are often sparse, noisy, or irregularly distributed."@en ; ; ; , , , ; :File:Spatial_interpolation_wiki.png ; "prediction of spatial quantities to unobserved locations"@en . ### https://portal.mardi4nfdi.de/entity/Q6775793 rdf:type owl:NamedIndividual , ; "f"@en , "t"@en , "y"@en ; "dydt=f(y(t))"@en ; rdfs:label "free fall equation (vacuum, phase space)"@en ; ; ; , ; ; "modeling the fall of point-like objects by the laws of classical mechanics, in phase-space formulation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775794 rdf:type owl:NamedIndividual , ; rdfs:label "geostatistics"@en ; ; "Q1440020"@en ; ; ; ; "branch of statistics focusing on spatial data sets"@en . ### https://portal.mardi4nfdi.de/entity/Q6775795 rdf:type owl:NamedIndividual , ; "f"@en , "g"@en , "v"@en ; "f≡(v,−g)T"@en ; rdfs:label "free fall equation (vacuum, right-hand side)"@en ; ; ; "right-hand side of free fall (vacuum) ODEs in phase-space formulation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775796 rdf:type owl:NamedIndividual , ; "f"@en , "t"@en , "y"@en ; "dydt=f(y(t))"@en ; rdfs:label "free fall equation (air drag, phase space)"@en ; ; ; ; ; "modeling the fall of point-like objects, including aerodynamic drag, in phase-space formulation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775797 rdf:type owl:NamedIndividual , ; "A"@en , "f"@en , "g"@en , "m"@en , "v"@en , "ρ"@en , "CD"@en ; "f≡(v,−g+12mρCDAv2)T"@en ; rdfs:label "free fall equation (air drag, right-hand side)"@en ; ; ; "right-hand side of free fall (air drag) ODEs in phase-space formulation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "CD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775813 rdf:type owl:NamedIndividual , ; rdfs:label "Elovich isotherm model"@en ; "The Elovich isotherm model is an empirical adsorption model derived from the Elovich kinetic equation, assuming that the adsorption activation energy increases exponentially with surface coverage. It describes adsorption on highly heterogeneous surfaces where the distribution of site energies varies widely. Unlike classical monolayer isotherms, the Elovich model may represent multilayer or strongly heterogeneous adsorption rather than uniform monolayer behavior. The model relates equilibrium adsorption to solute concentration through an exponential function involving the adsorbed amount. It is used in environmental and wastewater-treatment studies to characterize chemisorption-like or heterogeneity-dominated adsorption systems."@en ; ; , ; ; ; ; "empirical adsorption isotherm based on exponential energy variation"@en . ### https://portal.mardi4nfdi.de/entity/Q6775814 rdf:type owl:NamedIndividual , ; "KE"@en , "cE"@en , "qe"@en , "qm"@en ; "qeqm=KEcEexp⁡(−qeqm)"@en ; rdfs:label "Elovich isotherm equation"@en ; ; ; ; "empirical adsorption equation based on exponential energy variation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775815 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Elovich isotherm)"@en ; "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Elovich equilibrium constant and the Elovich maximum adsorption capacity by fitting the linearized form of the Elovich isotherm to measured values of adsorbed amount and equilibrium solution concentration. The linearization expresses the ratio of adsorbed amount to equilibrium concentration in logarithmic form, allowing the model parameters to be obtained from the slope and intercept of a straight-line plot. The resulting parameters describe the surface heterogeneity and the exponential energy distribution assumed by the empirical Elovich model."@en ; ; ; , , , , ; "linear estimation of Elovich adsorption parameters from equilibrium data"@en . ### https://portal.mardi4nfdi.de/entity/Q6775816 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Elovich isotherm)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Elovich equilibrium constant and the Elovich maximum adsorption capacity by fitting the original nonlinear Elovich isotherm directly to measured equilibrium concentration and adsorbed amount data. Nonlinear regression avoids the distortions introduced by logarithmic transformation and generally provides more accurate estimates of both parameters. The resulting parameter values characterize adsorption affinity and the heterogeneous, energy-dependent adsorption behavior represented by the empirical Elovich model."@en ; ; ; , , , , ; ; "nonlinear estimation of Elovich adsorption parameters from equilibrium data"@en . ### https://portal.mardi4nfdi.de/entity/Q6775817 rdf:type owl:NamedIndividual , ; rdfs:label "Elovich equilibrium constant"@en ; ; ; "adsorption affinity constant in the Elovich isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6775818 rdf:type owl:NamedIndividual , ; "KE"@en , "cE"@en , "qe"@en , "qm"@en ; "ln⁡qecE=ln⁡KEqm−qeqm"@en ; rdfs:label "linear Elovich isotherm equation"@en ; ; ; "empirical adsorption equation based on exponential energy variation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775820 rdf:type owl:NamedIndividual , ; rdfs:label "Hill-de Boer isotherm model"@en ; "The Hill–de Boer isotherm model is a theoretical adsorption model that accounts for lateral interactions and mobility among adsorbed molecules. It extends the Langmuir framework by incorporating an interaction energy term that captures attractive or repulsive forces between neighboring adsorbates. The model relates fractional surface coverage to equilibrium solute concentration through an exponential term derived from statistical thermodynamics. Because it includes interaction effects, it provides a more realistic description of adsorption on surfaces where adsorbate–adsorbate forces are significant. The Hill–de Boer model is used to analyze nonideal adsorption behavior in environmental, chemical, and surface science applications."@en ; ; , ; ; ; ; ; , ; "mathematical model describing adsorption with lateral interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6775821 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "θ"@en , "Ce"@en , "K1"@en , "K2"@en ; "K1Ce=θ1−θexp⁡(θ1−θ−K2θRT)"@en ; rdfs:label "Hill-de Boer equation"@en ; ; ; ; , ; "theoretical adsorption isotherm including lateral interactions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775822 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Hill-de Boer model)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Hill–de Boer constant and the interaction energy constant by fitting the nonlinear Hill–de Boer equation directly to measured equilibrium concentration and fractional surface coverage data. The results quantify adsorption affinity and the magnitude of lateral interactions between adsorbed molecules without the distortions introduced by linearization. This approach provides a more accurate representation of nonideal adsorption behavior described by the model."@en ; ; ; , , , , ; ; , ; "Hill-de Boer model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775823 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Hill-de Boer model)"@en ; "This task performs linear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Hill–de Boer constant and the interaction energy constant by fitting the linearized Hill–de Boer equation to measured equilibrium concentration and fractional surface coverage data. The resulting parameters describe adsorption affinity and the strength of lateral interactions among adsorbed molecules."@en ; ; ; , , , , ; , ; "Hill-de Boer model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775824 rdf:type owl:NamedIndividual , ; "V"@en , "θ"@en , "Vm"@en , "qe"@en , "qm"@en ; "θ≡VVm"@en , "θ≡qeqm"@en ; rdfs:label "fractional surface coverage"@en ; ; ; "fraction of adsorbent surface covered by adsorbate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "V"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775825 rdf:type owl:NamedIndividual , ; rdfs:label "interaction energy constant"@en ; ; ; "constant quantifying lateral interaction energy in adsorption"@en . ### https://portal.mardi4nfdi.de/entity/Q6775826 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "θ"@en , "Ce"@en , "K1"@en , "K2"@en ; "ln⁡(Ce(1−θ)θ)−θ1−θ=−ln⁡K1−K2θRT"@en ; rdfs:label "linear Hill-de Boer equation"@en ; ; ; , ; "theoretical adsorption isotherm including lateral interactions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775827 rdf:type owl:NamedIndividual , ; rdfs:label "pharmacodynamics"@en ; "Q725307"@en ; ; ; ; "study of the biochemical and physiologic effects of drugs"@en . ### https://portal.mardi4nfdi.de/entity/Q6775828 rdf:type owl:NamedIndividual , ; rdfs:label "dose-response analysis"@en ; ; ; , ; "analysis of system response to increasing stimulus or dose"@en . ### https://portal.mardi4nfdi.de/entity/Q6775829 rdf:type owl:NamedIndividual , ; rdfs:label "ligand-receptor interaction"@en ; "Q104536208"@en ; ; ; ; "biological interaction between receptors and ligands"@en . ### https://portal.mardi4nfdi.de/entity/Q6775830 rdf:type owl:NamedIndividual , ; rdfs:label "Hill model (adsorption)"@en ; "The Hill model in adsorption is an empirical isotherm used to describe cooperative uptake of solutes on solid surfaces. It represents systems in which the adsorption of one molecule increases or decreases the likelihood of subsequent adsorption events, producing a sigmoidal equilibrium curve. The model captures saturation behavior and incorporates a cooperativity exponent to reflect positive or negative interaction among adsorbed species. When the cooperativity exponent equals one, the model reduces to the non-cooperative Langmuir isotherm. The Hill adsorption model is applied to systems exhibiting S-shaped adsorption behavior in water treatment, materials science, and surface chemistry."@en ; ; ; ; ; ; ; ; "empirical model describing cooperative adsorption on surfaces"@en . ### https://portal.mardi4nfdi.de/entity/Q6775831 rdf:type owl:NamedIndividual , ; "Ce"@en , "KD"@en , "nH"@en , "qe"@en , "qSH"@en ; "qe=qSHCenHKDnH+CenH"@en ; rdfs:label "Hill isotherm equation"@en ; ; ; ; ; "cooperative adsorption isotherm equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nH"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qSH"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775832 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Hill adsorption model)"@en ; "This task performs nonlinear parameter estimation using equilibrium adsorption data applied to the Hill adsorption model. It determines the Hill adsorption constant, the maximum adsorption capacity, and the cooperativity exponent by directly fitting the nonlinear Hill isotherm to solute concentration and adsorbed-amount measurements. Nonlinear regression avoids structural distortions introduced by linearized forms and ensures accurate estimation of parameters across cooperative and non-cooperative regimes. The resulting parameters quantify adsorption affinity, surface saturation behavior, and cooperative interactions among adsorbed species. This approach is commonly used in environmental and materials science to analyze sigmoidal adsorption equilibria."@en ; ; ; , , , , , ; ; "nonlinear estimation of Hill adsorption model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6775833 rdf:type owl:NamedIndividual , ; "n"@en ; "n=1"@en ; rdfs:label "no cooperativity assumption"@en ; ; ; "assumption of independent binding sites (n = 1) in Hill models"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775834 rdf:type owl:NamedIndividual , ; rdfs:label "Hill model (enzyme kinetics)"@en ; "The Hill model in enzyme kinetics is an empirical rate law used to describe cooperative substrate binding and the resulting sigmoidal dependence of initial reaction velocity on substrate concentration. It generalizes the Michaelis–Menten equation by introducing a Hill coefficient that quantifies positive or negative cooperativity among substrate-binding events. The model captures catalytic saturation behavior and provides parameters describing maximal velocity and substrate sensitivity. When the Hill coefficient equals one, the model reduces to the classical non-cooperative Michaelis–Menten form. The Hill enzyme-kinetics model is applied to cooperative or allosteric enzymes in biochemistry and systems biology."@en ; ; ; ; ; ; ; "cooperative model describing enzyme reaction rates"@en . ### https://portal.mardi4nfdi.de/entity/Q6775835 rdf:type owl:NamedIndividual , ; "K0.5"@en , "Vmax"@en , "cS"@en , "nH"@en , "v0"@en ; "v0=VmaxcSnHK0.5nH+cSnH"@en ; rdfs:label "Hill velocity equation"@en ; ; ; ; ; "cooperative rate equation for enzyme catalysis"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K0.5"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Vmax"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nH"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775836 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Hill enzyme kinetics model)"@en ; "This task performs nonlinear parameter estimation for the Hill enzyme-kinetics model using initial reaction-rate data. It determines the maximal catalytic rate, the Hill kinetic constant, and the cooperativity exponent by fitting the nonlinear Hill velocity equation directly to substrate-concentration and reaction-velocity measurements. Nonlinear regression avoids biases that occur when kinetic data are linearized, producing more accurate parameter estimates for cooperative, allosteric, or multimeric enzymes. The resulting values characterize catalytic efficiency, apparent substrate affinity, and the degree of cooperativity in enzymatic turnover. This method is used in biochemistry and systems biology to analyze non-Michaelis–Menten reaction behavior."@en ; ; ; , , , , , ; ; "nonlinear estimation of Hill enzyme kinetics parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6775837 rdf:type owl:NamedIndividual , ; rdfs:label "Hill model (dose-response)"@en ; "The Hill model in dose–response analysis is an empirical pharmacodynamic model used to represent cooperative activation or inhibition by drugs or ligands. It describes how biological effect increases with concentration in a sigmoidal manner controlled by a cooperativity exponent. The model includes a maximal effect and a half-maximal concentration parameter, providing intuitive measures of efficacy and potency. When the cooperativity exponent equals one, the model reduces to the non-cooperative hyperbolic Emax model. The Hill dose–response model is widely used in pharmacology, toxicology, and pharmacokinetic–pharmacodynamic modeling to analyze concentration–effect relationships."@en ; ; ; ; ; ; ; ; "sigmoidal model describing cooperative dose–response behavior"@en . ### https://portal.mardi4nfdi.de/entity/Q6775838 rdf:type owl:NamedIndividual , ; "E"@en , "EC50"@en , "Emax"@en , "cD"@en , "nH"@en ; "E=EmaxcDnHEC50nH+cDnH"@en ; rdfs:label "Hill dose-response equation"@en ; ; ; ; ; "sigmoidal dose–response equation describing cooperative effects"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EC50"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Emax"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nH"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775839 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Hill dose-response model)"@en ; "This task performs nonlinear parameter estimation using dose–response data based on the Hill dose–response model. It estimates the maximal system response, the half-maximal concentration, and the cooperativity exponent by fitting the nonlinear sigmoidal Hill equation directly to observed concentration–effect measurements. Nonlinear regression eliminates distortions from linear transformations and yields robust estimates across a wide range of cooperative behaviors. The resulting parameters describe drug efficacy, potency, and the steepness of the dose–response relationship. This approach is widely used in pharmacology, toxicology, and pharmacokinetic–pharmacodynamic modeling."@en ; ; ; , , , , , ; ; "nonlinear estimation of Hill dose–response model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6775840 rdf:type owl:NamedIndividual , ; rdfs:label "Emax model"@en ; "The Emax model in its non-cooperative form is a pharmacodynamic dose–response model that describes how drug effect increases with concentration in a simple hyperbolic manner. It assumes no cooperativity in the system, meaning the Hill coefficient is fixed at one, producing a non-sigmoidal saturation curve. The model is characterized by a maximal achievable effect and the concentration that produces half of this maximum, offering intuitive measures of drug efficacy and potency. As the n = 1 specialization of the Hill dose-response model, it represents the simplest form of saturable concentration–effect behavior. This non-cooperative Emax model is widely used in pharmacology, toxicology, and pharmacokinetic–pharmacodynamic analyses when dose–response relationships do not exhibit sigmoidal characteristics."@en ; ; ; ; ; ; "non-cooperative hyperbolic dose–response model"@en . ### https://portal.mardi4nfdi.de/entity/Q6775841 rdf:type owl:NamedIndividual , ; "E"@en , "EC50"@en , "Emax"@en , "cD"@en ; "E=EmaxcDEC50+cD"@en ; rdfs:label "Emax equation"@en ; ; ; "hyperbolic equation describing non-cooperative dose–response"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EC50"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Emax"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775842 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Emax model)"@en ; "This task performs nonlinear parameter estimation for the non-cooperative Emax dose–response model. It determines the maximal effect and the half-maximal effective concentration by directly fitting the nonlinear Emax equation to measured concentration–response data. Nonlinear regression avoids the biases associated with linearized transformations and provides accurate estimates of potency and maximal efficacy. The resulting parameters characterize the saturation behavior of the system and the sensitivity of the response to changing concentrations. This approach is widely used in pharmacology and toxicology to quantify drug action under non-cooperative conditions."@en ; ; ; , , , , ; "nonlinear estimation of Emax model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6775843 rdf:type owl:NamedIndividual , ; rdfs:label "Hill model (binding)"@en ; "The Hill model in binding is an empirical equilibrium model used to describe cooperative interactions between ligands and macromolecular binding sites. It represents fractional occupancy as a sigmoidal function of ligand concentration, controlled by the Hill coefficient, which quantifies positive or negative cooperativity. The model provides a phenomenological framework for allosteric or multi-site binding without requiring a detailed mechanistic interpretation of the molecular steps involved. When the Hill coefficient equals one, the model reduces to simple non-cooperative binding governed by mass-action behavior, though no distinct classical model emerges from this case. The Hill binding model is widely applied in biochemistry, molecular biology, and systems biology to analyze cooperative binding equilibria."@en ; ; ; ; ; ; ; "empirical model describing cooperative ligand binding"@en . ### https://portal.mardi4nfdi.de/entity/Q6775844 rdf:type owl:NamedIndividual , ; "θ"@en , "KA"@en , "cL"@en , "nH"@en ; "θ=cLnHKAnH+cLnH"@en ; rdfs:label "Hill equation"@en ; "Q2554020"@en ; ; ; ; "Diagram showing the proportion of a receptor bound to a ligand"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cL"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nH"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6775845 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Hill binding model)"@en ; "This task performs nonlinear parameter estimation for the Hill binding model using equilibrium ligand-binding data. It determines the Hill binding constant, maximal occupancy, and the cooperativity exponent by fitting the nonlinear Hill binding equation directly to free-ligand concentrations and fractional binding measurements. Nonlinear regression avoids artifacts from linearization and produces accurate estimates across cooperative, non-cooperative, and anti-cooperative regimes. The resulting parameters quantify binding affinity, saturation behavior, and the degree of cooperative interaction among binding sites. This method is commonly applied in biochemistry, molecular biology, and systems biology to study cooperative ligand–macromolecule interactions."@en ; ; ; , , , , ; ; "nonlinear estimation of Hill binding model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6775846 rdf:type owl:NamedIndividual , ; rdfs:label "Hill coefficient"@en ; "Q1618639"@en ; "The Hill cooperativity coefficient is a dimensionless empirical parameter that quantifies the degree of cooperative behavior in a system modeled by a Hill-type equation. It determines how strongly the binding, adsorption, catalytic rate, or biological response departs from simple non-cooperative behavior. Values greater than one represent positive cooperativity, where one binding or adsorption event increases the likelihood of additional events, while values less than one indicate negative cooperativity. A value of exactly one corresponds to non-cooperative, hyperbolic behavior as seen in classical Langmuir, Michaelis–Menten, or Emax models. The Hill coefficient does not reflect a mechanistic number of sites but rather describes the steepness of the sigmoidal response curve."@en ; ; ; ; "slope of the curve describing the binding of an inhibitor or a substrate"@en . ### https://portal.mardi4nfdi.de/entity/Q6775847 rdf:type owl:NamedIndividual , ; rdfs:label "Hill constant"@en ; ; ; ; "affinity constant governing adsorption equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6775848 rdf:type owl:NamedIndividual , ; rdfs:label "Hill theoretical isotherm saturation capacity"@en ; ; ; ; "maximum adsorption capacity predicted by Hill isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6775849 rdf:type owl:NamedIndividual , ; rdfs:label "half saturation constant (Hill kinetics)"@en ; ; ; ; "substrate concentration giving half-maximal reaction rate"@en . ### https://portal.mardi4nfdi.de/entity/Q6775850 rdf:type owl:NamedIndividual , ; rdfs:label "Hill limiting reaction rate"@en ; ; ; ; "maximal reaction rate predicted by Hill kinetics"@en . ### https://portal.mardi4nfdi.de/entity/Q6775851 rdf:type owl:NamedIndividual , ; rdfs:label "observed response"@en ; ; ; "measured system response to ligand concentration"@en . ### https://portal.mardi4nfdi.de/entity/Q6775852 rdf:type owl:NamedIndividual , ; rdfs:label "half maximal effective concentration"@en ; ; "Q286136"@en ; "Half maximal effective concentration (EC50) is a measure of the concentration of a drug, antibody or toxicant which induces a biological response halfway between the baseline and maximum after a specified exposure time."@en ; ; ; "EC50"@en . ### https://portal.mardi4nfdi.de/entity/Q6775853 rdf:type owl:NamedIndividual , ; rdfs:label "drug concentration"@en ; ; ; "amount of drug in the reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6775854 rdf:type owl:NamedIndividual , ; rdfs:label "maximal response"@en ; ; ; "maximal response achievable by the system"@en . ### https://portal.mardi4nfdi.de/entity/Q6775855 rdf:type owl:NamedIndividual , ; rdfs:label "ligand concentration"@en ; ; ; "concentration of ligand in the reaction environment"@en . ### https://portal.mardi4nfdi.de/entity/Q6775856 rdf:type owl:NamedIndividual , ; rdfs:label "half saturation constant (Hill binding)"@en ; ; ; ; "ligand concentration producing half-maximal binding"@en . ### https://portal.mardi4nfdi.de/entity/Q6775857 rdf:type owl:NamedIndividual , ; rdfs:label "fractional occupancy"@en ; ; ; "fraction of binding sites occupied at equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6820955 rdf:type owl:NamedIndividual , ; rdfs:label "Temkin isotherm model"@en ; "The Temkin isotherm model is an empirical adsorption model that assumes the heat of adsorption decreases linearly with increasing surface coverage because of adsorbate–adsorbent interactions. Unlike Langmuir, it does not assume a constant adsorption energy but instead introduces a uniform distribution of binding energies up to a maximum value. This results in a logarithmic dependence between fractional coverage and solution concentration. The Temkin isotherm is commonly used to analyze adsorption processes where interactions between adsorbed molecules cannot be neglected. It is frequently applied in environmental chemistry and materials science, including studies related to chemical wastewater treatment."@en ; ; , ; ; ; , ; , , , , , ; ; "empirical adsorption model with linearly decreasing adsorption energy"@en . ### https://portal.mardi4nfdi.de/entity/Q6820956 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Temkin isotherm model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data based on the Temkin isotherm model. It determines the Temkin equilibrium constant and the adsorption-energy variation by fitting the nonlinear Temkin equation directly to measured adsorbate concentrations and fractional coverage values. Nonlinear regression provides unbiased estimates by avoiding distortions introduced through logarithmic linearization. The resulting parameters describe how adsorption energy decreases with increasing surface coverage. This method is commonly applied in environmental chemistry and materials analysis for systems involving significant adsorbate–adsorbent interactions."@en ; ; ; , , , , ; ; ; "nonlinear estimation of Temkin isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820957 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Temkin isotherm model)"@en ; "This task performs linear parameter estimation using adsorption equilibrium data by applying the linearized form of the Temkin isotherm. By plotting fractional coverage against the natural logarithm of solute concentration, the slope and intercept allow direct estimation of the adsorption-energy variation and the Temkin equilibrium constant. Although convenient, the linear method may introduce statistical bias due to transformation of variables. Nevertheless, it is widely used for rapid assessment of Temkin parameters in adsorption analysis. This approach is especially common in environmental and chemical engineering studies of pollutant adsorption."@en ; ; ; , , , , ; ; "linear estimation of Temkin isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820958 rdf:type owl:NamedIndividual , ; rdfs:label "Temkin equilibrium constant"@en ; ; ; ; "adsorption equilibrium parameter in the Temkin model"@en . ### https://portal.mardi4nfdi.de/entity/Q6820959 rdf:type owl:NamedIndividual , ; rdfs:label "adsorption energy variation"@en ; ; ; "change of adsorption energy with surface coverage"@en . ### https://portal.mardi4nfdi.de/entity/Q6820960 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "ΔQ"@en , "θ"@en , "Ce"@en , "K0"@en ; "θ=RTΔQln⁡(K0)+RTΔQln⁡(Ce)"@en ; rdfs:label "linear Temkin isotherm equation"@en ; ; ; ; "linear adsorption isotherm with logarithmic dependence on concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔQ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820961 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "ΔQ"@en , "θ"@en , "Ce"@en , "K0"@en ; "θ=RTΔQln⁡(K0Ce)"@en ; rdfs:label "Temkin isotherm equation"@en ; ; ; ; ; "adsorption isotherm with logarithmic dependence on concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔQ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "K0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820962 rdf:type owl:NamedIndividual , ; rdfs:label "Fowler-Guggenheim isotherm model"@en ; "The Fowler–Guggenheim isotherm model is an adsorption model that incorporates lateral interactions between adsorbed molecules. Unlike Langmuir’s assumption of independent adsorption sites, this model allows the heat of adsorption to vary with surface coverage. Attractive interactions raise adsorption energy with increasing coverage, while repulsive interactions cause the opposite trend. The model provides a more realistic description for adsorbates that influence each other after adsorption. It is commonly applied in surface chemistry and environmental adsorption analysis, including chemical wastewater treatment."@en ; ; , ; ; ; ; ; , ; "mathematical model for adsorption with lateral interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6820963 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Fowler-Guggenheim isotherm model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data to determine the Fowler–Guggenheim equilibrium constant and the interaction energy. The nonlinear Fowler–Guggenheim equation is fitted directly to fractional coverage and concentration data, capturing the effect of lateral interactions among adsorbed molecules. The results quantify both adsorption affinity and the magnitude of intermolecular interactions. This provides an accurate description of systems where adsorption behavior depends on the occupancy of neighboring sites."@en ; ; ; , , , , ; ; , ; "nonlinear estimation of Fowler–Guggenheim parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820964 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Fowler-Guggenheim isotherm model)"@en ; "This task estimates the Fowler–Guggenheim equilibrium constant and the interaction energy using the linearized form of the isotherm. Experimental equilibrium data are transformed and fitted using linear regression, providing a simplified estimation method. While computationally efficient, this approach may introduce bias from linearization. The results characterize the adsorption affinity and the sign and magnitude of lateral adsorption interactions."@en ; ; ; , , , , ; , ; "linear estimation of Fowler–Guggenheim parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820965 rdf:type owl:NamedIndividual , ; rdfs:label "Fowler-Guggenheim equilibrium constant"@en ; ; ; , ; "adsorption equilibrium parameter including interaction effects"@en . ### https://portal.mardi4nfdi.de/entity/Q6820966 rdf:type owl:NamedIndividual , ; rdfs:label "interaction energy"@en ; ; ; "energy of adsorbate–adsorbate interaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6820967 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "W"@en , "θ"@en , "Ce"@en , "KFG"@en ; "ln⁡(Ce(1−θ)θ)=−ln⁡(KFG)+2θWRT"@en ; rdfs:label "linear Fowler-Guggenheim equation"@en ; ; ; , ; "linear adsorption isotherm including lateral interaction effects"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "W"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KFG"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820968 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "W"@en , "θ"@en , "Ce"@en , "KFG"@en ; "KFGCe=θ1−θexp⁡(2θWRT)"@en ; rdfs:label "Fowler-Guggenheim equation"@en ; ; ; ; ; , ; "adsorption isotherm including lateral interaction effects"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "W"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KFG"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820970 rdf:type owl:NamedIndividual , ; rdfs:label "Kiselev isotherm model"@en ; "The Kiselev isotherm model describes adsorption occurring in a localized monomolecular layer, where adsorbate molecules may form surface complexes with one another. Unlike the Langmuir model, Kiselev explicitly includes a complex-formation parameter that accounts for associations between adsorbed molecules at neighboring sites. This allows the model to represent cooperative or associative adsorption behavior on heterogeneous or interacting surfaces. It is used primarily to interpret adsorption on solids where pairwise interactions or dimer formation occurs. Applications include surface chemistry, catalysis, and environmental adsorption processes such as chemical wastewater treatment."@en ; ; , ; ; ; ; ; "adsorption model for localized monolayer with complex formation"@en . ### https://portal.mardi4nfdi.de/entity/Q6820971 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Kiselev model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data to determine the Kiselev equilibrium constant and the complex formation constant. The nonlinear Kiselev equation is fitted directly to coverage and concentration values to capture the formation of complexes between adsorbed molecules. The results quantify adsorption affinity and the strength of lateral associative interactions. This method avoids potential distortions caused by linearization."@en ; ; ; , , , , ; ; ; "nonlinear estimation of Kiselev model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820972 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Kiselev model)"@en ; "This task estimates the Kiselev equilibrium constant and the complex formation constant using the linearized form of the Kiselev isotherm. Experimental equilibrium coverage and concentration data are transformed and analyzed using linear regression. Although computationally simple, the approach may introduce bias due to data transformation. The estimated parameters describe adsorption affinity and the extent of complex formation among adsorbed species."@en ; ; ; , , , , ; ; "nonlinear estimation of Kiselev model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820973 rdf:type owl:NamedIndividual , ; rdfs:label "Kiselev equilibrium constant"@en ; ; ; ; "adsorption equilibrium constant in localized monolayer adsorption"@en . ### https://portal.mardi4nfdi.de/entity/Q6820974 rdf:type owl:NamedIndividual , ; rdfs:label "complex formation constant"@en ; ; ; "constant describing adsorbate–adsorbate complex formation"@en . ### https://portal.mardi4nfdi.de/entity/Q6820975 rdf:type owl:NamedIndividual , ; "θ"@en , "Ce"@en , "kn"@en , "k1"@en ; "1Ce(1−θ)=k1theta+k1kn"@en ; rdfs:label "linear Kiselev equation"@en ; ; ; ; "linear localized monolayer adsorption equation with complex formation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820976 rdf:type owl:NamedIndividual , ; "k"@en , "θ"@en , "Ce"@en , "k1"@en ; "k1Ce=θ(1−θ)(1+knθ)"@en ; rdfs:label "Kiselev equation"@en ; ; ; ; ; "localized monolayer adsorption equation with complex formation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820977 rdf:type owl:NamedIndividual , ; rdfs:label "Volmer isotherm model"@en ; "The Volmer isotherm model describes adsorption in a mobile monolayer, where adsorbed molecules can move freely across the surface but do not interact with each other. It applies an exponential correction term that accounts for the configurational entropy associated with mobile adsorbates. The model uses the fractional surface coverage and an affinity constant that depends on temperature. Unlike interaction-based models such as Fowler–Guggenheim or Hill–de Boer, the Volmer approach assumes no lateral interactions between adsorbates. It is used to characterize adsorption systems where mobility dominates surface behavior, including applications in surface chemistry and chemical wastewater treatment."@en ; ; ; ; ; ; ; "adsorption model accounting for mobile adsorbed molecules"@en . ### https://portal.mardi4nfdi.de/entity/Q6820978 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Volmer model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data to determine the Volmer affinity constant. The nonlinear Volmer equation is fitted directly to fractional surface coverage and equilibrium concentration values, capturing the effect of adsorbate mobility on the adsorbent surface. The results quantify adsorption affinity while assuming no lateral interactions among adsorbed molecules. This approach avoids distortions caused by data linearization and is suitable for systems exhibiting mobile monolayer adsorption."@en ; ; ; , , , ; ; "nonlinear estimation of Volmer affinity constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6820979 rdf:type owl:NamedIndividual , ; rdfs:label "Volmer affinity constant"@en ; ; ; ; "temperature-dependent affinity parameter for Volmer adsorption"@en . ### https://portal.mardi4nfdi.de/entity/Q6820980 rdf:type owl:NamedIndividual , ; "d"@en , "θ"@en , "Ce"@en ; "Ce=θd(1−θ)exp⁡(θ(1−θ))"@en ; rdfs:label "Volmer equation"@en ; ; ; ; "mobile monolayer adsorption equation without lateral interactions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "d"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820981 rdf:type owl:NamedIndividual , ; rdfs:label "Flory-Huggins isotherm model"@en ; "The Flory–Huggins isotherm is an empirical adsorption model adapted from polymer solution theory that describes how chemically similar molecules of different chain length occupy adsorbent sites. It uses a coverage degree defined from initial and equilibrium concentrations and explicitly accounts for an occupancy number that represents how many adsorbate units occupy a site. The model is used to assess adsorption feasibility and spontaneity via an equilibrium constant that can be related to a standard Gibbs free-energy expression. It is applied when adsorbate molecules are large or chain-like (e.g., polymers, large organics) and the adsorbate–adsorbent arrangement is approximately random."@en ; ; , ; ; ; , ; , ; "adsorption model for multi-site occupancy and chain effects"@en . ### https://portal.mardi4nfdi.de/entity/Q6820982 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Flory-Huggins model)"@en ; "This task fits the nonlinear Flory–Huggins equation to adsorption data to estimate the Flory–Huggins equilibrium constant and the occupancy number. It uses experimental initial and equilibrium concentrations and measured uptake to directly obtain parameter estimates without data linearization. The outputs quantify the effective site occupancy per adsorbate and the equilibrium parameter used to evaluate spontaneity."@en ; ; ; , , , , ; ; , ; "nonlinear estimation of Flory–Huggins parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820983 rdf:type owl:NamedIndividual , ; rdfs:label "linear parameter estimation (Flory-Huggins model)"@en ; "This task uses the linearized Flory–Huggins equation to estimate the equilibrium constant and occupation number from transformed equilibrium data. Linear regression provides a straightforward estimation method, but may introduce bias due to logarithmic transformation. The resulting parameters characterize adsorption feasibility and the extent of surface site occupation in the Flory–Huggins model."@en ; ; ; , , , , ; , ; "linear estimation of Flory–Huggins parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6820984 rdf:type owl:NamedIndividual , ; rdfs:label "initial solute concentration"@en ; ; ; "solute concentration at start"@en . ### https://portal.mardi4nfdi.de/entity/Q6820985 rdf:type owl:NamedIndividual , ; rdfs:label "Flory-Huggins equilibrium parameter"@en ; ; ; , ; "empirical model parameter used for ΔG° evaluation"@en . ### https://portal.mardi4nfdi.de/entity/Q6820986 rdf:type owl:NamedIndividual , ; rdfs:label "Flory-Huggins occupancy number"@en ; ; ; , ; "number of adsorbate units occupying a sorption site"@en . ### https://portal.mardi4nfdi.de/entity/Q6820987 rdf:type owl:NamedIndividual , ; "θ"@en , "Ce"@en , "C0"@en ; "θ≡1−CeC0"@en ; rdfs:label "degree of surface coverage"@en ; ; ; "surface coverage determined through solute concentrations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820988 rdf:type owl:NamedIndividual , ; "θ"@en , "C0"@en , "KFH"@en , "nm"@en ; "ln⁡(θC0)=ln⁡(KFH)+nmln⁡(1−θ)"@en ; rdfs:label "linear Flory-Huggins equation"@en ; ; ; , ; "Flory–Huggins adsorption isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KFH"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6820989 rdf:type owl:NamedIndividual , ; "θ"@en , "C0"@en , "KFH"@en , "nm"@en ; "θC0=KFH(1−θ)nm"@en ; rdfs:label "Flory-Huggins equation"@en ; ; ; ; , ; "Flory–Huggins adsorption isotherm"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KFH"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821054 rdf:type owl:NamedIndividual , ; rdfs:label "Jovanovic isotherm model"@en ; "The Jovanovic isotherm model is an empirical adsorption model derived as a modification of the Langmuir concept of monolayer adsorption. It assumes mobile adsorbate molecules on a uniform surface without lateral interactions, but introduces an exponential term that alters how the surface approaches saturation. The model reduces to Henry’s law at low solute concentration and predicts finite saturation at high concentration. Compared with Langmuir, the Jovanovic model approaches saturation more slowly, making it useful for systems where uptake curves exhibit gradual leveling. It is occasionally applied in chemical wastewater treatment but is less widely used than other monolayer models."@en ; ; ; ; ; ; , ; "empirical monolayer adsorption model without lateral interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821055 rdf:type owl:NamedIndividual , ; "Ce"@en , "KJ"@en , "qe"@en , "qm"@en ; "qe=qm(1−exp⁡(−KJCe))"@en ; rdfs:label "Jovanovic equation"@en ; ; ; ; "nonlinear adsorption isotherm with exponential uptake behavior"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KJ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821056 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Jovanovic model)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Jovanovic equilibrium constant and the Jovanovic maximum adsorption capacity by directly fitting the nonlinear Jovanovic equation to measured solute concentration and adsorbed amount data. The nonlinear approach avoids distortions introduced by linear transformations and preserves the exponential saturation behavior characteristic of the model. The results describe the adsorption affinity and the gradual approach to saturation predicted by the Jovanovic isotherm."@en ; ; ; , , , , ; ; "nonlinear estimation of Jovanovic model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821057 rdf:type owl:NamedIndividual , ; "Ce"@en ; "Ce→0"@en ; rdfs:label "low solute concentration in equilibrium assumption"@en ; ; ; "assumption for the solute concentration in equilibrium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821058 rdf:type owl:NamedIndividual , ; rdfs:label "Jovanovic multilayer isotherm model"@en ; "The Jovanovich multilayer isotherm model is an empirical adsorption model that extends the Jovanovich monolayer equation to allow adsorption in second and higher layers through an exponential layer-growth term. It introduces separate constants to describe the first-layer adsorption and the contribution of multilayer formation. The model assumes mobile adsorbate molecules and does not incorporate explicit lateral interactions."@en ; ; ; ; ; ; ; "empirical multilayer adsorption model with exponential layer growth"@en . ### https://portal.mardi4nfdi.de/entity/Q6821059 rdf:type owl:NamedIndividual , ; "Ce"@en , "KJ"@en , "KJ,m"@en , "qe"@en , "qm"@en ; "qe=qm(1−exp⁡(−KJCe))exp⁡(KJ,mCe)"@en ; rdfs:label "multilayer Jovanovic equation"@en ; ; ; ; "nonlinear multilayer adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KJ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KJ,m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821060 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Jovanovic multilayer model)"@en ; "This task performs nonlinear parameter estimation using equilibrium adsorption data. The objective is to determine the Jovanovic monolayer capacity together with the first-layer and multilayer adsorption constants by directly fitting the nonlinear multilayer Jovanovic equation to measurements of solute concentration and adsorbed amount. Unlike linearized approaches, nonlinear fitting preserves the intrinsic exponential structure of the multilayer model."@en ; ; ; , , , , , ; ; "nonlinear estimation of multilayer Jovanovic model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821061 rdf:type owl:NamedIndividual , ; "KJ,m"@en ; "KJ,m→0"@en ; rdfs:label "low multilayer adsorption constant assumption"@en ; ; ; "assumption that multilayer adsorption effects vanish"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KJ,m"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821062 rdf:type owl:NamedIndividual , ; rdfs:label "Jovanovic constant"@en ; ; ; "adsorption affinity constant in Jovanovic model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821063 rdf:type owl:NamedIndividual , ; rdfs:label "Jovanovic multilayer constant"@en ; ; ; ; "multilayer adsorption constant in multilayer Jovanovic model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821116 rdf:type owl:NamedIndividual , ; rdfs:label "Redlich-Peterson isotherm model"@en ; "The Redlich-Peterson isotherm model is a three-parameter empirical adsorption model that combines features of both the Langmuir monolayer isotherm and the Freundlich heterogeneous isotherm. It describes adsorption using a linear dependence on concentration in the numerator and a nonlinear term in the denominator, enabling accurate representation over a wide concentration range. The model does not assume ideal monolayer adsorption and can be applied to both homogeneous and heterogeneous surfaces. Its exponent parameter controls the degree to which the model behaves like Langmuir (β close to 1) or Henry (β close to 0). Because of its versatility, the Redlich-Peterson model frequently provides excellent agreement with experimental data in chemical wastewater treatment and other adsorption applications."@en ; ; ; ; , ; , , ; , , , , , ; , ; "empirical hybrid adsorption model combining Langmuir and Freundlich"@en . ### https://portal.mardi4nfdi.de/entity/Q6821117 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "β"@en , "Ce"@en , "qe"@en ; "qe=ACe1+BCeβ"@en ; rdfs:label "Redlich-Peterson equation"@en ; ; ; ; , , ; , ; "three-parameter hybrid adsorption isotherm equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821118 rdf:type owl:NamedIndividual , ; "β"@en ; "0≤β≤1"@en ; rdfs:label "Redlich-Peterson exponent constraint"@en ; ; ; , ; "constraint for Redlich-Peterson exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821119 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Redlich-Peterson model)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Redlich-Peterson constant, coefficient, and exponent by directly fitting the nonlinear Redlich-Peterson equation to measured solute concentration and adsorbed amount data. Nonlinear regression preserves the full hybrid functional form, allowing the model to transition smoothly between Langmuir-like and Freundlich-like behavior. The resulting parameters quantify adsorption affinity, heterogeneity, and the degree of deviation from ideal monolayer adsorption."@en ; ; ; , , , , , , ; , , ; , ; "nonlinear estimation of Redlich-Peterson model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821120 rdf:type owl:NamedIndividual , ; "β"@en ; "β=1"@en ; rdfs:label "Langmuir limit assumption"@en ; ; ; ; "assumption for Redlich-Peterson exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821121 rdf:type owl:NamedIndividual , ; "β"@en ; "β=0"@en ; rdfs:label "Henry limit assumption"@en ; ; ; ; "assumption for Redlich-Peterson exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821122 rdf:type owl:NamedIndividual , ; "Ce"@en ; "Ce→∞"@en ; rdfs:label "high solute concentration in equilibrium assumption"@en ; ; ; "assumption for the solute concentration in equilibrium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821123 rdf:type owl:NamedIndividual , ; rdfs:label "Redlich-Peterson constant"@en ; ; ; , ; "adsorption affinity constant in Redlich-Peterson model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821124 rdf:type owl:NamedIndividual , ; rdfs:label "Redlich-Peterson coefficient"@en ; ; ; , ; "denominator coefficient in Redlich-Peterson model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821125 rdf:type owl:NamedIndividual , ; rdfs:label "Redlich-Peterson exponent"@en ; ; ; , ; "dimensionless exponent controlling adsorption heterogeneity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821128 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin-Radushkevich isotherm model"@en ; "The Dubinin-Radushkevich isotherm is an empirical adsorption model originally developed for describing micropore filling of subcritical vapors on porous solids. It assumes a Gaussian distribution of adsorption energies on a heterogeneous surface and uses the Polanyi potential to express the effective adsorption work. The model is temperature-dependent and yields a characteristic curve when adsorption data at different temperatures are plotted against the square of the adsorption potential. The Dubinin-Radushkevich model is often used to distinguish physical from chemical adsorption via its mean free adsorption energy. It typically fits intermediate concentration ranges well but does not satisfy Henry’s law at low concentrations."@en ; ; ; ; ; , ; ; "empirical adsorption model with Gaussian energy distribution on micropores"@en . ### https://portal.mardi4nfdi.de/entity/Q6821129 rdf:type owl:NamedIndividual , ; "ϵ"@en , "Kad"@en , "qe"@en , "qSD"@en ; "qe=qSDexp⁡(−Kadϵ2)"@en ; rdfs:label "Dubinin-Radushkevich equation"@en ; ; ; "nonlinear micropore filling isotherm with Gaussian energy term"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Kad"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qSD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821130 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Dubinin-Radushkevich model)"@en ; "This task performs nonlinear parameter estimation using equilibrium adsorption data to determine the theoretical Dubinin-Radushkevich isotherm saturation capacity and the Dubinin-Radushkevich isotherm constant . The nonlinear Dubinin-Radushkevich equation is fitted directly to equilibrium adsorption values determined by experimental adsorption measurements, using the Polanyi potential to capture the effective adsorption work. Because the Dubinin-Radushkevich model is temperature-dependent, it can consolidate multi-temperature data into a single characteristic curve that describes micropore filling behavior."@en ; ; ; , , , , ; "nonlinear estimation of Dubinin-Radushkevich parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821131 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin-Radushkevich theoretical isotherm saturation capacity"@en ; ; ; "maximum theoretical adsorption capacity in Dubinin-Radushkevich model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821132 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin-Radushkevich isotherm constant"@en ; ; ; "adsorption energy constant in Dubinin-Radushkevich model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821133 rdf:type owl:NamedIndividual , ; "R"@en , "T"@en , "ϵ"@en , "Ce"@en ; "ϵ≡RTln⁡(1+1Ce)"@en ; rdfs:label "Polanyi potential"@en ; ; ; ; "adsorption potential representing sorption work"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821134 rdf:type owl:NamedIndividual , ; rdfs:label "Sips isotherm model"@en ; "The Sips isotherm model, also known as the Langmuir–Freundlich isotherm, is an empirical adsorption model developed to overcome the unbounded adsorption predicted by the classical Freundlich equation. It combines the heterogeneous surface characteristics of the Freundlich model with the finite monolayer adsorption limit of the Langmuir model. At low adsorbate concentrations, the Sips equation behaves like the Freundlich isotherm, while at sufficiently high concentrations it predicts a Langmuir-type saturation capacity. The model assumes localized adsorption without lateral interactions and is commonly used to describe heterogeneous adsorbent surfaces. Sips isotherm parameters are strongly influenced by system conditions such as pH, temperature, and solute concentration."@en ; ; ; ; ; , ; , , ; "combined Langmuir–Freundlich adsorption model for heterogeneous surfaces"@en . ### https://portal.mardi4nfdi.de/entity/Q6821135 rdf:type owl:NamedIndividual , ; "m"@en , "Ce"@en , "KS"@en , "qe"@en , "qm"@en ; "qe=qmKSCem1+KSCem"@en ; rdfs:label "Sips equation"@en ; ; ; , ; "nonlinear hybrid adsorption equation combining Freundlich and Langmuir behavior"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821136 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Sips model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data. The objective is to determine the Sips maximum adsorption capacity, the Sips equilibrium constant, and the Sips heterogeneity exponent by fitting the nonlinear Sips equation directly to measured solute concentrations and adsorbed amounts. The nonlinear approach preserves the combined Langmuir-Freundlich behavior of the model and avoids distortions introduced by linearization. The results characterize both the adsorption affinity and the degree of surface heterogeneity governing the adsorption process."@en ; ; ; , , , , , ; , ; "nonlinear estimation of Sips isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821137 rdf:type owl:NamedIndividual , ; "m"@en ; "m=1"@en ; rdfs:label "homogeneous binding sites assumption"@en ; ; ; "assumption for Sips model exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "m"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821138 rdf:type owl:NamedIndividual , ; rdfs:label "Sips equilibrium constant"@en ; ; ; "adsorption affinity constant in Sips model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821139 rdf:type owl:NamedIndividual , ; rdfs:label "Sips heterogeneity exponent"@en ; ; ; "exponent describing surface heterogeneity in Sips model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821149 rdf:type owl:NamedIndividual , ; rdfs:label "angle"@en ; ; "Angle"@en ; "angles"@en ; "angle"@en ; "Q11352"@en ; "Angle"@en ; "ugol-a93f0d"@en ; "1"@en ; "A00346"@en ; ; ; "angolo"@en , "angolo_res-81e0c266-adad-11eb-94e0-00271042e8d9"@en ; "18460"@en ; "eu:Angelu"@en , "fr:Angle"@en ; ; "Angle"@en ; , , ; "concept/9b2e82a2-d44e-41a8-9988-a4629b8f0fe1"@en ; "ab2vdhx4"@en ; ; , ; "InnerProductGeometry.angle"@en ; "∠"@en ; "Angles (geometry)"@en ; "30974"@en ; ; "/m/0mwc"@en ; "300055620"@en ; "Angles"@en , "Titik-Dua"@en ; , , ; ; "49D3212"@en ; "00004117n"@en ; "topic/angle-mathematics"@en ; "Winkel"@en ; "scot/624"@en ; "383175"@en ; , , , , , , , ; "àngolo+(geometria)"@en ; "13910202-n"@en ; "516.152"@en ; "987007294852305171"@en ; ; "vinkel_-_matematikk"@en ; ; "wiskunde/hoek"@en ; ; ; , ; "angle"@en ; "angolo"@en ; "angolo"@en ; ; "angolo"@en ; "C2994310760"@en ; ; "math:Angle"@en ; "vinkel"@en ; "matematika/ugly-na-ploskosti-i-ikh-izmerenie"@en ; ; "14519948f"@en ; "4189964-7"@en ; "sh85005042"@en ; ; "something that is formed when two rays meet at a single or same point"@en . ### https://portal.mardi4nfdi.de/entity/Q6821150 rdf:type owl:NamedIndividual , ; rdfs:label "mechanics"@en ; ; "Q41217"@en ; ; ; , , , ; ; "science concerned with physical bodies subjected to forces or displacements"@en . ### https://portal.mardi4nfdi.de/entity/Q6821151 rdf:type owl:NamedIndividual , ; rdfs:label "pendulum"@en ; ; "Q829360"@en ; ; ; , , , ; , , ; , ; "idealized concept of a pendulum"@en . ### https://portal.mardi4nfdi.de/entity/Q6821153 rdf:type owl:NamedIndividual , ; rdfs:label "mathematical pendulum model (small angle)"@en ; ; , , ; ; , , ; , , , , , ; , , ; "point mass swinging on a massless rod without friction, assuming small amplitudes"@en . ### https://portal.mardi4nfdi.de/entity/Q6821154 rdf:type owl:NamedIndividual , ; "g"@en , "ϕ"@en , "ℓ"@en ; "ϕ¨+gℓϕ=0"@en ; rdfs:label "mathematical pendulum equation (small angle)"@en ; ; ; "ordinary differential equation for a mathematical pendulum, assuming small amplitudes"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821155 rdf:type owl:NamedIndividual , ; "ϕ"@en ; "sin⁡ϕ≈ϕ"@en ; rdfs:label "small angle approximation"@en ; ; ; "linearization assuming small angles"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821156 rdf:type owl:NamedIndividual , ; rdfs:label "determine frequency of a pendulum (small angle)"@en ; ; ; , , , ; "calculate frequency from length and mass of pendulum, assuming small angle approximation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821157 rdf:type owl:NamedIndividual , ; rdfs:label "pendular amplitude"@en ; ; ; "angle of the pendulum"@en . ### https://portal.mardi4nfdi.de/entity/Q6821158 rdf:type owl:NamedIndividual , ; "g"@en , "ω"@en , "ℓ"@en ; "ω=gℓ"@en ; rdfs:label "mathematical pendulum frequency (small angle)"@en ; ; ; "frequency of a mathematical pendulum, assuming small angle approximation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821159 rdf:type owl:NamedIndividual , ; rdfs:label "length of pendulum"@en ; ; ; "distance from the pivot point to the bob"@en . ### https://portal.mardi4nfdi.de/entity/Q6821160 rdf:type owl:NamedIndividual , ; rdfs:label "Toth isotherm model"@en ; "The Toth isotherm model is an empirical adsorption model developed to improve discrepancies between Langmuir predictions and experimental equilibrium data for heterogeneous adsorbents. It accounts for an asymmetric quasi-Gaussian distribution of adsorption energies and is suitable for Type I isotherms and for some multilayer adsorption situations. The model behaves correctly in both low- and high-concentration limits. It approaches the Langmuir isotherm when the heterogeneity parameter equals one. The Toth model is commonly used to represent adsorption processes in porous or energetically non-uniform materials."@en ; ; ; ; , ; ; , , , , , ; ; "empirical adsorption isotherm for heterogeneous surfaces"@en . ### https://portal.mardi4nfdi.de/entity/Q6821161 rdf:type owl:NamedIndividual , ; "Ce"@en , "KT"@en , "mT"@en , "qe"@en , "qm"@en ; "qe=qmCe(1KT+CemT)1mT"@en ; rdfs:label "Toth isotherm equation"@en ; ; ; ; ; ; "equilibrium uptake with heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "mT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821162 rdf:type owl:NamedIndividual , ; "mT"@en ; "0<mT≤1"@en ; rdfs:label "Toth heterogeneity exponent constraint"@en ; ; ; ; "constraint for Toth heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "mT"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821163 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Toth model)"@en ; "This task involves estimating the parameters of the Toth adsorption isotherm model from equilibrium adsorption data. The model is nonlinear in its parameters, so numerical regression techniques are required to obtain optimal values for the maximum adsorption capacity, equilibrium constant, and heterogeneity exponent. The goal is to minimize prediction error between experimental uptake data and the theoretical Toth curve. The task is typically implemented using nonlinear least-squares optimization. Estimated parameters are then used to characterize adsorption behavior on heterogeneous surfaces."@en ; ; ; , , , , , , ; ; ; "nonlinear estimation of Toth model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821164 rdf:type owl:NamedIndividual , ; "mT"@en ; "mT=1"@en ; rdfs:label "Toth heterogeneity exponent assumption"@en ; ; ; ; "assumption for Toth heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "mT"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821165 rdf:type owl:NamedIndividual , ; rdfs:label "Toth equilibrium constant"@en ; ; ; ; "affinity constant describing adsorbate–adsorbent interaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6821166 rdf:type owl:NamedIndividual , ; rdfs:label "Toth heterogeneity exponent"@en ; ; ; ; "heterogeneity parameter controlling deviation from Langmuir behavior"@en . ### https://portal.mardi4nfdi.de/entity/Q6821173 rdf:type owl:NamedIndividual , ; rdfs:label "Radke-Prausnitz isotherm model"@en ; "The Radke-Prausnitz isotherm is an empirical three-parameter adsorption model which is typically applied in adsorption systems when the concentration of the adsorbate is relatively low. Under certain conditions it reduces the Henry, Freundlich, or Langmuir isotherm model"@en ; ; ; ; , ; , , ; , ; "empirical isotherm model for low adsorbate concentrations"@en . ### https://portal.mardi4nfdi.de/entity/Q6821174 rdf:type owl:NamedIndividual , ; "a"@en , "b"@en , "n"@en , "β"@en , "Ce"@en ; "n=aCe1+abCe1−β"@en ; rdfs:label "Radke-Prausnitz equation"@en ; ; ; ; , , ; "three-parameter empirical adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821175 rdf:type owl:NamedIndividual , ; "β"@en ; "0≤β≤1"@en ; rdfs:label "Radke-Prausnitz exponent constraint"@en ; ; ; "constraint for the Radke-Prausnitz exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821176 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Radke-Prausnitz model)"@en ; "This task performs nonlinear parameter estimation by fitting the Radke-Prausnitz isotherm to equilibrium adsorption data. The objective is to determine the parameters directly by nonlinear regression."@en ; ; ; , , , , , , ; , , ; "nonlinear estimation of Radke-Prausnitz parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821177 rdf:type owl:NamedIndividual , ; "β"@en ; "β=0"@en ; rdfs:label "Radke-Prausnitz exponent assumption"@en ; ; ; "assumption for the Radke-Prausnitz exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821178 rdf:type owl:NamedIndividual , ; rdfs:label "Radke-Prausnitz parameter a"@en ; ; ; "parameter in Radke-Prausnitz model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821179 rdf:type owl:NamedIndividual , ; rdfs:label "Radke-Prausnitz parameter b"@en ; ; ; "parameter in Radke-Prausnitz model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821180 rdf:type owl:NamedIndividual , ; rdfs:label "Radke-Prausnitz exponent"@en ; ; ; "exponent in Radke-Prausnitz model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821184 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder 3-parameter isotherm model"@en ; "The Fritz–Schlunder 3-parameter isotherm model is an empirical adsorption model designed to flexibly fit equilibrium data over a broad concentration range. It extends the Langmuir formulation by introducing an additional exponent describing surface heterogeneity. The model is frequently used when simpler isotherms such as Langmuir or Freundlich provide poor agreement with experimental data. It is suitable for both homogeneous and heterogeneous adsorption systems. The model does not rely on a specific adsorption mechanism and is primarily used for data correlation."@en ; ; ; ; ; , ; "three-parameter empirical adsorption isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821185 rdf:type owl:NamedIndividual , ; "Ce"@en , "KFS"@en , "nFS"@en , "qe"@en , "qm"@en ; "qe=qmKFSCe1+qmCenFS"@en ; rdfs:label "Fritz-Schlunder 3-parameter equation"@en ; ; ; "three-parameter empirical adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KFS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nFS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821186 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Fritz-Schlunder 3-parameter model)"@en ; "This task concerns the nonlinear estimation of parameters in the Fritz–Schlunder 3-parameter isotherm model. The parameters are determined by fitting the model to equilibrium adsorption data using nonlinear regression techniques. The goal is to identify values that minimize the difference between predicted and observed loadings. The task is typically performed when simpler two-parameter isotherms do not adequately describe the system. Reliable estimation is required for comparing adsorption performance across materials and conditions."@en ; ; ; , , , , , ; "estimation of Fritz–Schlunder model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821187 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder 4-parameter isotherm model"@en ; "The Fritz-Schlunder 4-parameter isotherm model is an empirical equation providing high flexibility for modeling adsorption on heterogeneous surfaces. It introduces two independent exponents and two affinity parameters, enabling extremely close fits to non-ideal adsorption data over wide concentration ranges. Because of its general form, the model does not assume monolayer behavior and imposes no strict physical interpretation on its parameters. It is especially useful when typical three-parameter models fail to capture complex curvature in experimental isotherms. Applications include chemical wastewater treatment, dye removal, heavy metals removal, and adsorption process design."@en ; ; ; ; , ; , ; , ; "flexible four-parameter empirical adsorption isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821188 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "a"@en , "b"@en , "Ce"@en , "qe"@en ; "qe=ACea1+BCeb"@en ; rdfs:label "Fritz-Schlunder 4-parameter equation"@en ; ; ; ; , ; "four-parameter empirical adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821189 rdf:type owl:NamedIndividual , ; "a"@en , "b"@en ; "0≤a,b≤1"@en ; rdfs:label "Fritz-Schlunder exponents constraint"@en ; ; ; "constraint for Fritz-Schlunder exponents"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821190 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Fritz-Schlunder 4-parameter model)"@en ; "The Fritz-Schlunder 4-parameter isotherm model is a highly flexible empirical equation used to fit adsorption data across wide concentration ranges. It introduces two exponents to capture complex heterogeneity of adsorption sites. The model is especially useful for systems that deviate strongly from classical isotherms and require additional curvature control. Although it has no mechanistic interpretation, it provides accurate empirical correlations. It is frequently applied in advanced adsorption system characterization."@en ; ; ; , , , , , , , ; , ; "estimation of Fritz-Schlunder model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821191 rdf:type owl:NamedIndividual , ; "a"@en , "b"@en ; "a=1b=1"@en ; rdfs:label "Fritz-Schlunder exponents assumption"@en ; ; ; "assumption for Fritz-Schlunder exponents"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821192 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder 5-parameter isotherm model"@en ; "The Fritz-Schlunder 5-parameter isotherm model is the most flexible member of the Fritz-Schlunder family, designed to accurately represent highly curved or complex adsorption isotherms. By combining a saturation capacity, two affinity constants, and two exponents, the model can match a wide range of heterogeneous adsorption behaviors, including systems where multilayer formation or strong site-energy diversity is present. It is fully empirical and places no mechanistic restrictions on surface behavior. It is primarily used in cases where simpler models show poor agreement with experimental data, such as in wastewater treatment adsorption studies involving highly heterogeneous adsorbents."@en ; ; ; ; , ; , ; "high-flexibility five-parameter adsorption isotherm model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821193 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "a"@en , "b"@en , "qe"@en , "qm"@en ; "qe=qmACea1+BCeb"@en ; rdfs:label "Fritz-Schlunder 5-parameter equation"@en ; ; ; ; "five-parameter empirical adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "a"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821194 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Fritz-Schlunder 5-parameter model)"@en ; "This task concerns fitting the five parameters of the FritzSchlunder 5-parameter isotherm to experimental adsorption data. The model’s high flexibility allows it to capture complex adsorption behavior but requires robust nonlinear optimization to avoid parameter correlation. The estimation involves adjusting the saturation capacity, two constants, and two exponents simultaneously. It is used when adsorption systems exhibit unusual heterogeneity or curvature not representable by simpler models. Accurate parameters enable detailed empirical characterization of challenging adsorption systems."@en ; ; ; , , , , , , , , ; "estimation of Fritz-Schlunder model parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821195 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder equilibrium constant"@en ; ; ; "empirical adsorption affinity constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821196 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder model exponent"@en ; ; ; "exponent of Fritz-Schlunder model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821197 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder constant A"@en ; ; ; "empirical numerator constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821198 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder constant B"@en ; ; ; "empirical denominator constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821199 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder exponent a"@en ; ; ; "numerator exponent"@en . ### https://portal.mardi4nfdi.de/entity/Q6821200 rdf:type owl:NamedIndividual , ; rdfs:label "Fritz-Schlunder exponent b"@en ; ; ; "denominator exponent"@en . ### https://portal.mardi4nfdi.de/entity/Q6821202 rdf:type owl:NamedIndividual , ; rdfs:label "Jossens isotherm model"@en ; "The Jossens isotherm model is an empirical adsorption model based on a statistical distribution of adsorbate–adsorbent interaction energies on heterogeneous surfaces. It assumes that adsorption sites differ in energy and that the equilibrium concentration depends exponentially on the adsorbed amount. The model introduces temperature-dependent parameters to represent the energetic heterogeneity of the adsorbent surface. At low surface coverage, the equation reduces to Henry’s law, ensuring correct limiting behavior. The Jossens model has been applied mainly to adsorption on activated carbon and other heterogeneous adsorbents in solution-phase systems."@en ; ; ; ; , , , ; ; , ; "empirical adsorption model with distributed interaction energies"@en . ### https://portal.mardi4nfdi.de/entity/Q6821203 rdf:type owl:NamedIndividual , ; "F"@en , "H"@en , "p"@en , "Ce"@en , "qe"@en ; "Ce=qeHeFqep"@en ; rdfs:label "Jossens isotherm equation"@en ; ; ; ; ; "nonlinear adsorption equation based on energy distribution"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821204 rdf:type owl:NamedIndividual , ; "C"@en , "F"@en , "R"@en , "T"@en ; "C=−RT2dFdT"@en ; rdfs:label "surface energy distribution equation (Jossens)"@en ; ; ; "relation between energy distribution and temperature"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "F"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821205 rdf:type owl:NamedIndividual , ; "H"@en , "R"@en , "T"@en , "qst0"@en ; "qst0=RT2dln⁡(H)dT"@en ; rdfs:label "isosteric heat at zero coverage formulation (Jossens)"@en ; ; ; "relation between equilibrium constant and isosteric heat"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qst0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821206 rdf:type owl:NamedIndividual , ; "p"@en ; "0<p<1"@en ; rdfs:label "Jossens heterogeneity exponent constraint"@en ; ; ; "constraint for heterogeneity exponent in Jossens isotherm model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821207 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Jossens model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data from solution-phase systems. The objective is to determine the Jossens equilibrium constant, interaction coefficient, and heterogeneity exponent by fitting the nonlinear Jossens adsorption equation to measured solute concentration and adsorbed amount data. The fitting preserves the exponential structure of the model and captures energetic heterogeneity of adsorption sites. At low adsorption levels, the task ensures consistency with Henry-type behavior. The estimated parameters characterize both adsorption affinity and the distribution of surface interaction energies."@en ; ; ; , , , , , , ; ; "nonlinear estimation of Jossens isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821208 rdf:type owl:NamedIndividual , ; "qe"@en ; "qe→0"@en ; rdfs:label "low surface coverage assumption"@en ; ; ; "adsorption regime with negligible surface occupancy"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821209 rdf:type owl:NamedIndividual , ; rdfs:label "Jossens heterogeneity exponent"@en ; ; ; "exponent characterizing surface energy heterogeneity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821210 rdf:type owl:NamedIndividual , ; rdfs:label "Jossens energy parameter"@en ; ; ; "parameter related to adsorption energy distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6821211 rdf:type owl:NamedIndividual , ; rdfs:label "Jossens equilibrium constant"@en ; ; ; "temperature-dependent adsorption equilibrium constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821212 rdf:type owl:NamedIndividual , ; rdfs:label "surface energy distribution parameter"@en ; ; ; "parameter related to surface energy state distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6821213 rdf:type owl:NamedIndividual , ; rdfs:label "isosteric heat at zero surface coverage"@en ; ; ; "adsorption heat at infinitesimal surface coverage"@en . ### https://portal.mardi4nfdi.de/entity/Q6821215 rdf:type owl:NamedIndividual , ; rdfs:label "Koble-Corrigan constant A"@en ; ; ; "scaling constant for adsorption capacity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821216 rdf:type owl:NamedIndividual , ; rdfs:label "Koble-Corrigan constant B"@en ; ; ; "saturation-related adsorption constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821217 rdf:type owl:NamedIndividual , ; rdfs:label "Koble-Corrigan heterogeneity exponent"@en ; ; ; "exponent describing adsorption nonlinearity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821218 rdf:type owl:NamedIndividual , ; "nK"@en ; "nK>0"@en ; rdfs:label "Koble-Corrigan heterogeneity exponent constraint"@en ; ; ; "constraint for Koble-Corrigan heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nK"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821219 rdf:type owl:NamedIndividual , ; "nK"@en ; "nK=1"@en ; rdfs:label "Koble-Corrigan heterogeneity exponent assumption"@en ; ; ; "assumption for Koble-Corrigan exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nK"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821221 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "Ce"@en , "nK"@en , "qe"@en ; "qe=ACenKB+CenK"@en ; rdfs:label "Koble-Corrigan isotherm equation"@en ; ; ; ; , , ; "hybrid Langmuir–Freundlich adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nK"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821222 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Koble-Corrigan model)"@en ; "This task involves nonlinear regression of equilibrium adsorption data to estimate the parameters of the Koble-Corrigan isotherm model. Experimental measurements of equilibrium adsorbed amount and solute concentration are fitted to the model equation. The fitting procedure determines the constants, which control adsorption capacity and saturation behavior, as well as the heterogeneity exponent. The task is commonly used when adsorption occurs on heterogeneous surfaces and cannot be adequately described by simpler Langmuir or Freundlich models alone."@en ; ; ; , , , , , , ; , , ; "nonlinear estimation of hybrid isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821223 rdf:type owl:NamedIndividual , ; rdfs:label "Koble-Corrigan isotherm model"@en ; "The Koble-Corrigan isotherm model is an empirical adsorption model that combines features of the Langmuir and Freundlich isotherms. It is designed to describe equilibrium adsorption on heterogeneous surfaces over a wide concentration range. The model introduces an exponent to capture surface heterogeneity while retaining a saturation behavior at high concentrations. Unlike ideal monolayer models, it does not assume uniform adsorption energies. The Koble-Corrigan model is frequently applied when simpler two-parameter models fail to adequately fit experimental adsorption data."@en ; ; ; ; , ; , , ; , ; "three-parameter hybrid adsorption isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821242 rdf:type owl:NamedIndividual , ; rdfs:label "Khan theoretical isotherm saturation capacity"@en ; ; ; "theoretical saturation adsorption capacity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821243 rdf:type owl:NamedIndividual , ; rdfs:label "Khan affinity parameter"@en ; ; ; "adsorption strength parameter"@en . ### https://portal.mardi4nfdi.de/entity/Q6821244 rdf:type owl:NamedIndividual , ; rdfs:label "Khan heterogeneity exponent"@en ; ; ; "surface heterogeneity exponent"@en . ### https://portal.mardi4nfdi.de/entity/Q6821246 rdf:type owl:NamedIndividual , ; "aK"@en ; "aK>0"@en ; rdfs:label "Khan heterogeneity exponent constraint"@en ; ; ; "constraint for Khan heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "aK"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821247 rdf:type owl:NamedIndividual , ; "aK"@en ; "aK=1"@en ; rdfs:label "Khan heterogeneity exponent assumption"@en ; ; ; "assumption for Khan heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "aK"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821249 rdf:type owl:NamedIndividual , ; "Ce"@en , "aK"@en , "bK"@en , "qe"@en , "qSK"@en ; "qe=qSKbKCe(1+bKCe)aK"@en ; rdfs:label "Khan isotherm equation"@en ; ; ; ; , ; "generalized Langmuir–Freundlich equilibrium equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "aK"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bK"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qSK"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821250 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Khan model)"@en ; "This task estimates the parameters of the Khan isotherm model by nonlinear regression using equilibrium adsorption data. Experimental measurements of equilibrium adsorbed amount and equilibrium concentration are fitted to the Khan equation to determine the maximum adsorption capacity, affinity constant, and heterogeneity exponent. The fitting process minimizes the deviation between observed and predicted adsorption values across the concentration range. The resulting parameters characterize adsorption capacity, surface affinity, and heterogeneity of the adsorbent. This task is commonly applied in adsorption studies of aqueous pollutants and organic solutes."@en ; ; ; , , , , , , ; , ; "nonlinear fitting of Khan isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821251 rdf:type owl:NamedIndividual , ; rdfs:label "Khan isotherm model"@en ; "The Khan isotherm model is a generalized adsorption isotherm developed to describe equilibrium adsorption in dilute solutions. It unifies the Langmuir and Freundlich models within a single mathematical framework by introducing a model exponent that controls surface heterogeneity. At a specific parameter limit, the model reduces to the Langmuir isotherm, while at high equilibrium concentrations it approaches Freundlich-type behavior. The model is applicable to single-component adsorption and was originally formulated to support extensions to multicomponent systems. It is widely used in environmental and chemical engineering studies of aqueous adsorption."@en ; ; ; ; , ; , ; , ; "generalized Langmuir–Freundlich adsorption isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821258 rdf:type owl:NamedIndividual , ; rdfs:label "UNILAN adsorption affinity constant"@en ; ; ; "adsorption strength parameter"@en . ### https://portal.mardi4nfdi.de/entity/Q6821259 rdf:type owl:NamedIndividual , ; rdfs:label "UNILAN heterogeneity parameter"@en ; ; ; "parameter describing energy distribution width"@en . ### https://portal.mardi4nfdi.de/entity/Q6821260 rdf:type owl:NamedIndividual , ; "s"@en ; "s→0"@en ; rdfs:label "UNILAN heterogeneity parameter assumption"@en ; ; ; "assumption for UNILAN heterogeneity parameter"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821261 rdf:type owl:NamedIndividual , ; "s"@en ; "s>0"@en ; rdfs:label "UNILAN heterogeneity parameter constraint"@en ; ; ; "constraint for UNILAN heterogeneity parameter"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821262 rdf:type owl:NamedIndividual , ; "b"@en , "s"@en , "Ce"@en , "qe"@en , "qm"@en ; "qe=qm2sln⁡(1+besCe1+be−sCe)"@en ; rdfs:label "UNILAN equation"@en ; ; ; ; ; "uniform-energy Langmuir-integrated adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821263 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (UNILAN model)"@en ; "This task consists of estimating the UNILAN isotherm parameters by fitting the nonlinear UNILAN equation to experimental equilibrium adsorption data. The fitted parameters typically include the maximum adsorption capacity, the adsorption affinity constant, and the heterogeneity parameter. Nonlinear regression methods are required due to the logarithmic and exponential structure of the model. The task is commonly used to characterize surface heterogeneity and adsorption energetics in heterogeneous adsorbent systems."@en ; ; ; , , , , , , ; ; "nonlinear estimation of UNILAN adsorption parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821264 rdf:type owl:NamedIndividual , ; rdfs:label "UNILAN isotherm model"@en ; "The UNILAN isotherm model is an empirical adsorption model derived by assuming a uniform distribution of adsorption energies over a heterogeneous surface. It is based on a patchwise surface concept, where each patch follows a local Langmuir isotherm, and the overall adsorption behavior is obtained by integrating over all patches. The model provides correct asymptotic behavior at both low and high solute concentrations. UNILAN is particularly useful for describing heterogeneous adsorption systems where energy variation is bounded and uniformly distributed. In the limit of vanishing heterogeneity, the model reduces to the classical Langmuir isotherm."@en ; ; ; ; , ; ; ; "empirical adsorption model with uniform energy distribution"@en . ### https://portal.mardi4nfdi.de/entity/Q6821266 rdf:type owl:NamedIndividual , ; rdfs:label "maximum temperature"@en ; "Q9356633"@en ; ; ; "highest temperature observed during the day"@en . ### https://portal.mardi4nfdi.de/entity/Q6821268 rdf:type owl:NamedIndividual , ; rdfs:label "minimum temperature"@en ; "Q9356634"@en ; ; ; "lowest temperature observed during the day"@en . ### https://portal.mardi4nfdi.de/entity/Q6821269 rdf:type owl:NamedIndividual , ; rdfs:label "crop-specific base temperature"@en ; ; ; "no growth occurs at or below this temperature"@en . ### https://portal.mardi4nfdi.de/entity/Q6821270 rdf:type owl:NamedIndividual , ; rdfs:label "heat units"@en ; ; ; "daily effective thermal time"@en . ### https://portal.mardi4nfdi.de/entity/Q6821271 rdf:type owl:NamedIndividual , ; rdfs:label "potential heat units"@en ; ; ; "heat units required for maturity of a crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6821272 rdf:type owl:NamedIndividual , ; rdfs:label "heat unit index"@en ; "A heat unit index ranging from 0 at planting to 1 at physiological maturity."@en ; ; ; ; "index indicating the physiological development of a plant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821274 rdf:type owl:NamedIndividual , ; "HU"@en , "Tb"@en , "Tmn"@en , "Tmx"@en ; "HUK=Tmx,K+Tmn,K2−Tb,j"@en ; rdfs:label "heat unit accumulation equation"@en ; "This equation calculates the daily heat units contributing to crop development based on daily maximum and minimum air temperatures. Only temperatures exceeding a crop-specific base temperature contribute to development. Negative values are truncated to zero to prevent development under unsuitable thermal conditions. The resulting heat units are accumulated over time to drive phenological progress."@en ; ; ; "effective thermal time per day"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HU"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Tb"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Tmn"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Tmx"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821275 rdf:type owl:NamedIndividual , ; "HU"@en , "HUI"@en , "PHU"@en ; "HUIi=∑K=1iHUKPHUj"@en ; rdfs:label "heat unit index equation"@en ; "This equation computes the heat unit index as the ratio of accumulated heat units to the potential heat units required for crop maturity. The index ranges from zero at planting to one at physiological maturity. It provides a normalized, dimensionless measure of development stage. Many other models use this index to regulate growth, partitioning, and senescence processes."@en ; ; ; "normalizes accumulated heat units to maturity"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HU"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "PHU"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821277 rdf:type owl:NamedIndividual , ; rdfs:label "computation of crop phenological development stage"@en ; "This task computes the physiological development stage of a crop based on accumulated thermal time. Using daily temperature inputs and crop-specific thermal thresholds, the task calculates daily heat unit accumulation and aggregates it over time. The accumulated heat units are normalized by the crop’s potential heat unit requirement to obtain a dimensionless development index. This index represents the progression from planting to physiological maturity. The resulting development stage serves as a coordinating variable for multiple downstream crop growth processes."@en ; ; ; , , , , , , ; "deriving crop development stage from temperature data"@en . ### https://portal.mardi4nfdi.de/entity/Q6821278 rdf:type owl:NamedIndividual , ; rdfs:label "heat-unit-based phenological development model"@en ; "This model simulates crop physiological development as a function of accumulated daily heat units. Development progresses from planting to physiological maturity based on temperatures exceeding a crop-specific base temperature. The accumulated heat units are normalized to a heat unit index that ranges from zero at planting to one at maturity. This index controls the timing of key developmental processes such as leaf area expansion, biomass partitioning, and harvest readiness. The approach provides a generic yet crop-specific representation of phenology using thermal time."@en ; ; ; ; , ; ; "crop development driven by accumulated thermal time"@en . ### https://portal.mardi4nfdi.de/entity/Q6821279 rdf:type owl:NamedIndividual , ; rdfs:label "crop phenological development"@en ; "The research problem concerns predicting the progression of crop physiological development as influenced by temperature over time. Crop growth stages such as emergence, flowering, and maturity depend strongly on accumulated thermal energy rather than calendar time. The challenge is to represent this dependency in a general, crop-independent yet parameterizable way that can be applied across environments and management scenarios. The modeled solution translates daily temperature data into a normalized development index that governs downstream growth processes. This enables consistent coupling of phenology with biomass production, stress responses, and yield formation."@en ; ; ; ; "predicting crop development timing from thermal conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821280 rdf:type owl:NamedIndividual , ; rdfs:label "ecophysiology"@en ; "Q295425"@en ; "Ecophysiology is a scientific discipline that investigates how the physiological processes of organisms respond and adapt to environmental conditions. It focuses on interactions between biological function and external drivers such as temperature, light, water availability, and nutrient supply. The field seeks to explain how these interactions influence growth, development, reproduction, and survival across different environments. Ecophysiology bridges organismal physiology and ecology by linking internal mechanisms to environmental variability. It provides a mechanistic understanding of how organisms function under natural and managed conditions."@en ; ; ; , , , , , , , , ; "study of adaptation of a organism's physiology to environmental conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821281 rdf:type owl:NamedIndividual , ; rdfs:label "intercepted photosynthetically active radiation"@en ; "Intercepted photosynthetically active radiation represents the portion of incoming solar radiation that is absorbed by the crop canopy and available for photosynthesis. It is computed as a function of total solar radiation and canopy leaf area. This quantity determines the energy input for potential biomass growth. It is a central driver of radiation-based crop growth models."@en ; ; ; "radiation intercepted by the crop canopy"@en . ### https://portal.mardi4nfdi.de/entity/Q6821282 rdf:type owl:NamedIndividual , ; rdfs:label "canopy light attenuation coefficient"@en ; "This coefficient quantifies the exponential attenuation of incoming radiation as it passes through a plant canopy. It represents the combined effects of absorption and scattering by leaves and other plant organs. The parameter is used in Beer–Lambert type equations to estimate radiation interception from leaf area index. Its value depends on canopy architecture and leaf orientation. It is a specialization of a general attenuation coefficient applied to plant canopies."@en ; ; ; "attenuation of light within a plant canopy"@en . ### https://portal.mardi4nfdi.de/entity/Q6821283 rdf:type owl:NamedIndividual , ; rdfs:label "photosynthetically active solar radiation fraction"@en ; ; ; "solar radiation conversion fraction"@en . ### https://portal.mardi4nfdi.de/entity/Q6821284 rdf:type owl:NamedIndividual , ; rdfs:label "potential biomass increment"@en ; "This quantity represents the increase in crop dry matter biomass during a single day under optimal conditions. It is computed from intercepted photosynthetically active radiation and a crop-specific conversion efficiency. The value reflects the maximum attainable biomass growth for that day. It contributes to the accumulation of total potential crop biomass over the growing season."@en ; ; ; "potential daily increase in crop biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6821285 rdf:type owl:NamedIndividual , ; rdfs:label "radiation use efficiency parameter"@en ; "This crop-specific parameter defines the efficiency with which intercepted photosynthetically active radiation is converted into dry matter biomass. It represents physiological and biochemical characteristics of the crop. Higher values indicate more efficient biomass production per unit of absorbed radiation. The parameter is assumed constant under optimal growth conditions."@en ; ; ; "converts radiation into biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6821286 rdf:type owl:NamedIndividual , ; rdfs:label "change in daylength"@en ; "This quantity represents the daily change in daylength relative to the previous day. It accounts for seasonal variation in photoperiod. It modifies the radiation-driven biomass production term. The quantity introduces a temporal adjustment to potential growth."@en ; ; ; "daily change in daylight duration"@en . ### https://portal.mardi4nfdi.de/entity/Q6821287 rdf:type owl:NamedIndividual , ; rdfs:label "daylength"@en ; "Daylength represents the number of hours between sunrise and sunset for a given day and location. It depends on Earth’s axial tilt and orbital position relative to the Sun."@en ; ; ; "daylight duration"@en . ### https://portal.mardi4nfdi.de/entity/Q6821288 rdf:type owl:NamedIndividual , ; rdfs:label "solar declination angle"@en ; "The solar declination angle describes the angular position of the Sun relative to Earth’s equatorial plane. It varies predictably throughout the year due to Earth’s axial tilt. This angle determines the apparent height of the Sun and the length of daylight at a given latitude. It is a standard astronomical variable used in photoperiod calculations."@en ; ; ; "angle between Sun and equatorial plane"@en . ### https://portal.mardi4nfdi.de/entity/Q6821289 rdf:type owl:NamedIndividual , ; rdfs:label "day index"@en ; ; ; "integer number identifying a specific day"@en . ### https://portal.mardi4nfdi.de/entity/Q6821290 rdf:type owl:NamedIndividual , ; rdfs:label "daily change in leaf area index"@en ; "This quantity represents the daily change in leaf area index before the onset of leaf decline. The quantity controls the dynamic evolution of canopy size over time."@en ; ; ; "increment in leaf area index"@en . ### https://portal.mardi4nfdi.de/entity/Q6821291 rdf:type owl:NamedIndividual , ; rdfs:label "maximum leaf area index"@en ; ; ; "maximum value of leaf area index for a specific crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6821292 rdf:type owl:NamedIndividual , ; rdfs:label "daily change in heat unit factor"@en ; ; ; "factor driving leaf area index development"@en . ### https://portal.mardi4nfdi.de/entity/Q6821293 rdf:type owl:NamedIndividual , ; rdfs:label "crop growth constraint"@en ; ; ; "minimum stress factor - water, nutrients, aeration, temperature"@en . ### https://portal.mardi4nfdi.de/entity/Q6821294 rdf:type owl:NamedIndividual , ; rdfs:label "leaf area index at start of decline"@en ; ; ; "value of leaf area index at start of decline"@en . ### https://portal.mardi4nfdi.de/entity/Q6821295 rdf:type owl:NamedIndividual , ; rdfs:label "heat unit index at start of leaf area index decline"@en ; ; ; "heat unit index for specific point in growing season"@en . ### https://portal.mardi4nfdi.de/entity/Q6821296 rdf:type owl:NamedIndividual , ; rdfs:label "leaf area index decline rate parameter"@en ; ; ; "parameter that governs leaf area index decline for specific crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6821297 rdf:type owl:NamedIndividual , ; rdfs:label "heat unit factor"@en ; "The heat unit factor expresses the relative progress of crop development on a normalized scale from zero to one. It is derived from the accumulated heat unit index using a crop-specific sigmoid function. HUF is used to regulate phenology-dependent growth processes. It provides a smooth, continuous representation of crop development stage."@en ; ; ; "normalized crop development factor"@en . ### https://portal.mardi4nfdi.de/entity/Q6821298 rdf:type owl:NamedIndividual , ; rdfs:label "heat unit response shape parameters"@en ; "These crop-specific parameters determine the shape and steepness of the sigmoid relationship between heat unit index and heat unit factor. They are computed by fitting the heat unit factor equation to two predefined calibration points. The parameters remain constant throughout the simulation. They reflect phenological characteristics specific to each crop."@en ; ; ; "shape parameters of HUF sigmoid curve"@en . ### https://portal.mardi4nfdi.de/entity/Q6821299 rdf:type owl:NamedIndividual , ; rdfs:label "accumulated potential biomass"@en ; "This quantity represents the cumulative dry matter biomass produced by a crop under potential growth conditions. It is obtained by summing daily potential biomass increments over time. The value reflects the maximum attainable biomass prior to stress reduction and partitioning. It serves as the basis for modeling structural development and yield formation."@en ; ; ; "total potential crop dry matter"@en . ### https://portal.mardi4nfdi.de/entity/Q6821301 rdf:type owl:NamedIndividual , ; rdfs:label "solar radiation"@en ; "Q17996169"@en ; ; ; ; "electromagnetic radiation received from the Sun"@en . ### https://portal.mardi4nfdi.de/entity/Q6821302 rdf:type owl:NamedIndividual , ; "HRLT"@en , "LAT"@en , "SD"@en ; "HRLTi=7.64cos−1(−sin⁡(2π360LAT)sin⁡(SDi)−0.044cos⁡(2π360LAT)cos⁡(SDi))"@en ; rdfs:label "daylength calculation equation"@en ; "This equation computes the length of daylight as a function of geographic latitude and the Sun’s declination angle. It is based on astronomical relationships describing Earth–Sun geometry over the annual cycle. Daylength varies seasonally and with latitude, influencing available solar radiation and crop growth potential. The equation provides a deterministic estimate of photoperiod for each simulation day. Daylength is later used to modulate potential biomass production."@en ; ; ; "computes daylength from latitude and solar declination"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HRLT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "SD"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821303 rdf:type owl:NamedIndividual , ; "SD"@en , "i"@en ; "SDi=0.4102sin⁡(2π365(i−80.25))"@en ; rdfs:label "solar declination angle equation"@en ; "This equation computes the solar declination angle for a given simulation day based on Earth’s orbital position. The declination angle represents the angular displacement of the Sun relative to Earth’s equatorial plane and varies periodically over the year. Its seasonal variation is driven by Earth’s axial tilt and revolution around the Sun. The formulation approximates this variation using a sinusoidal function of the day index. The resulting solar declination angle is used in astronomical calculations of daylength and solar radiation geometry."@en ; ; ; "determine solar declination angle on a specific day"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "SD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821304 rdf:type owl:NamedIndividual , ; rdfs:label "leaf area index"@en ; "Q446746"@en ; "Leaf area index is a dimensionless measure of canopy size defined as leaf area per unit ground area. It controls the fraction of incoming radiation intercepted by the canopy. Higher values correspond to denser canopies and greater light interception. Leaf area index is a dynamic state variable determined by crop growth and development."@en ; ; ; , ; "dimensionless quantity that characterizes plant canopies"@en . ### https://portal.mardi4nfdi.de/entity/Q6821305 rdf:type owl:NamedIndividual , ; "HUIi"@en , "HUIo"@en ; "HUIi→HUIo"@en ; rdfs:label "start of leaf area decline assumption"@en ; ; ; "assumption defining the start of leaf area decline in terms of heat unit index"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUIi"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUIo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821306 rdf:type owl:NamedIndividual , ; "HUF"@en , "HUI"@en , "ah"@en ; "HUFi=HUIiHUIi+eahj,1−ahj,2⋅HUIi"@en ; rdfs:label "heat unit factor equation"@en ; "This equation computes the heat unit factor as a sigmoid function of the heat unit index. The heat unit factor represents normalized crop developmental progress from emergence to maturity. Its functional form ensures slow development during early and late stages and more rapid change during intermediate stages. Crop-specific parameters determine the shape of the sigmoid relationship and are calibrated using predefined pairs of heat unit index and heat unit factor values. The resulting heat unit factor is used to control phenology-dependent processes such as leaf area development and biomass partitioning."@en ; ; ; "computes phenological development factor from heat units"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUF"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ah"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821307 rdf:type owl:NamedIndividual , ; "ΔBp"@en , "Bp"@en ; "Bp,i=Bp,i−1+ΔBp,i"@en ; rdfs:label "potential biomass accumulation equation"@en ; "This equation updates the accumulated potential crop biomass by adding the daily potential biomass increment to its previous value. It represents the temporal integration of daily biomass production over the growing season. The formulation assumes that biomass accumulation is additive and does not impose additional physiological constraints beyond those governing daily production. The equation is applied at each simulation time step to maintain the biomass state variable. It provides the accumulated potential biomass used in subsequent allocation and yield formation processes."@en ; ; ; "accumulates daily potential crop biomass"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔBp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Bp"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821310 rdf:type owl:NamedIndividual , ; "LAI"@en , "LAImx"@en , "REG"@en , "ΔHUF"@en , "ΔLAI"@en ; "ΔLAI=ΔHUF⋅LAImx(1−e5(LAIi−1−LAImx))REGi"@en ; rdfs:label "potential leaf area development equation"@en ; "This equation computes the daily change in leaf area index during the active canopy development phase of crop growth. It applies from crop emergence until the onset of leaf decline and determines the rate at which leaf area expands. The formulation links leaf area development to phenological progress through the heat unit factor while limiting growth as the canopy approaches a crop-specific maximum leaf area index. Crop stress effects are incorporated through a regulating factor that reduces leaf expansion under unfavorable conditions. The equation ensures gradual and biologically realistic canopy expansion prior to senescence."@en ; ; ; "computes daily increase in leaf area index"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAImx"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "REG"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔHUF"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔLAI"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821311 rdf:type owl:NamedIndividual , ; "HUI"@en , "HUIo"@en , "LAI"@en , "LAIo"@en , "LAImx"@en , "ad"@en , "ΔLAI"@en ; "LAIi={LAIi−1+ΔLAIHUIi<HUIoLAIo(1−HUIi1−HUIo)adjHUIi≥HUIo"@en ; rdfs:label "leaf area index equation"@en ; "This equation represents the dynamic update of leaf area index during the crop growing season. Leaf area index is treated as a state variable that evolves daily as a result of leaf expansion and senescence processes. From crop emergence to the onset of leaf decline, leaf area index is updated by adding a computed daily increment. After the start of leaf decline, leaf area index is reduced according to a phenology-dependent senescence formulation. Together, the governing equations ensure biologically realistic canopy development by allowing growth, saturation, and decline of leaf area."@en ; ; ; ; "dynamic canopy leaf area index over growing season"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUIo"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAIo"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAImx"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ad"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔLAI"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821312 rdf:type owl:NamedIndividual , ; "LAI"@en , "PAR"@en , "RA"@en , "ϵ"@en , "Cconv"@en ; "PARi=CconvRAi(1−e−ϵLAI)i"@en ; rdfs:label "radiation interception equation"@en ; "This equation estimates the amount of photosynthetically active radiation intercepted by a crop canopy using Beer’s law. Incoming solar radiation is converted to photosynthetically active radiation by applying a fixed fraction. The fraction of radiation intercepted by the canopy is modeled as an exponential function of leaf area index. The extinction coefficient represents average light attenuation within the canopy. This formulation links canopy structure directly to available energy for potential biomass production."@en ; ; ; ; "estimation of photosynthetically active radiation following Beer's law"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "PAR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Cconv"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821313 rdf:type owl:NamedIndividual , ; "BE"@en , "PAR"@en , "ΔHRLT"@en , "ΔBp"@en ; "ΔBp,i=0.001BEjPARi(1+ΔHLRTi)3"@en ; rdfs:label "potential biomass growth equation"@en ; "This equation estimates the daily potential increase in crop biomass using a radiation use efficiency approach. It follows the formulation proposed by Monteith, relating intercepted photosynthetically active radiation to dry matter production. Biomass accumulation is adjusted by a factor accounting for daylength and its daily change. The conversion efficiency parameter represents the crop-specific ability to transform radiant energy into biomass. The equation assumes optimal growing conditions without water or nutrient stress."@en ; ; ; ; "estimates daily potential crop biomass increase following Monteith"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "BE"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "PAR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔHRLT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔBp"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821314 rdf:type owl:NamedIndividual , ; rdfs:label "computation of potential crop biomass growth"@en ; "This task computes the potential accumulation of crop biomass based on intercepted photosynthetically active radiation and phenological development. It represents the upper bound of biomass growth achievable under optimal radiation conditions, prior to the application of biomass-reducing stresses such as water or nutrient limitation. The task integrates astronomical calculations, phenological scaling, and canopy development to determine daily potential biomass increments. Leaf area development is influenced by crop stress, but biomass conversion itself follows a radiation use efficiency approach. The resulting potential biomass provides the basis for subsequent structural development and yield formation tasks."@en ; ; ; , , , , , , , , ; "calculating stress-free crop biomass accumulation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821315 rdf:type owl:NamedIndividual , ; rdfs:label "potential crop growth model (biomass)"@en ; "This model determines crop biomass production assuming no limitations from water, nutrients, pests, or diseases. Growth is driven by intercepted solar radiation and a crop-specific radiation use efficiency parameter. The model represents the maximum achievable growth rate under prevailing weather conditions. Phenological development controls the timing and partitioning of growth but does not constrain resource availability. The resulting biomass represents potential growth against which stress effects are later applied."@en ; ; ; ; , , , ; ; "radiation-driven crop biomass production under optimal conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821316 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of potential crop biomass production"@en ; ; ; ; "quantifying maximum crop growth from radiation input"@en . ### https://portal.mardi4nfdi.de/entity/Q6821320 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin-Astakhov theoretical isotherm saturation capacity"@en ; ; ; "maximum theoretical adsorption capacity in Dubinin-Astakhov model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821321 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin-Astakhov heterogeneity exponent"@en ; ; ; "exponent representing heterogeneity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821322 rdf:type owl:NamedIndividual , ; "nDA"@en ; "nDA>0"@en ; rdfs:label "Dubinin-Astakhov heterogeneity exponent constraint"@en ; ; ; "constraint for Dubinin-Astakhov heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nDA"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821323 rdf:type owl:NamedIndividual , ; "nDA"@en ; "nDA=2"@en ; rdfs:label "Dubinin-Astakhov heterogeneity exponent assumption"@en ; ; ; "assumption for Dubinin-Astakhov heterogeneity exponent"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nDA"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821324 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin-Astakhov isotherm constant"@en ; ; ; "adsorption energy constant in Dubinin-Astakhov model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821325 rdf:type owl:NamedIndividual , ; "ϵ"@en , "Ce"@en , "KDA"@en , "nDA"@en , "qe"@en , "qDA"@en ; "qe=qDAexp⁡(−KDAϵnDA)"@en ; rdfs:label "Dubinin-Astakhov equation"@en ; ; ; ; ; "nonlinear micropore adsorption isotherm based on adsorption potential"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KDA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "nDA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qDA"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821326 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Dubinin–Astakhov model)"@en ; "This task performs nonlinear parameter estimation using equilibrium adsorption data to determine the theoretical Dubinin–Astakhov isotherm saturation capacitythe, Dubinin–Astakhov isotherm constant, and the Dubinin–Astakhov heterogeneity exponent. The nonlinear Dubinin–Astakhov equation is fitted directly to equilibrium adsorption values determined by experimental adsorption measurements, using the Polanyi potential to capture the effective adsorption work. Because the Dubinin–Astakhov model is temperature-dependent, it can consolidate multi-temperature data into a single characteristic curve that describes micropore filling behavior."@en ; ; ; , , , , , ; ; "nonlinear estimation of Dubinin–Astakhov isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821327 rdf:type owl:NamedIndividual , ; rdfs:label "Dubinin–Astakhov isotherm model"@en ; "The Dubinin–Astakhov isotherm model is an empirical adsorption model developed to describe adsorption in microporous solids using a pore-filling mechanism. It generalizes the Dubinin–Radushkevich model by introducing a (flexible) exponent that allows flexible representation of surface heterogeneity and adsorption energy distributions. While originally proposed for heterogeneous microporous systems, experimental evidence shows that it can also successfully describe adsorption in nearly homogeneous microporous materials. The model expresses adsorption as a function of adsorption potential rather than concentration alone, making it explicitly temperature dependent. It is widely applied in adsorption studies of activated carbons, zeolites, and environmental adsorption processes."@en ; ; ; ; , ; ; ; , ; "micropore filling adsorption model with variable heterogeneity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821329 rdf:type owl:NamedIndividual , ; rdfs:label "Frumkin equilibrium constant"@en ; ; ; "adsorption affinity constant in Frumkin model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821330 rdf:type owl:NamedIndividual , ; rdfs:label "Frumkin interaction parameter"@en ; ; ; "parameter quantifying lateral adsorbate interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821331 rdf:type owl:NamedIndividual , ; "f"@en , "θ"@en , "Ce"@en , "KF"@en ; "Ce=θKF(1−θ)e−fθ"@en ; rdfs:label "Frumkin adsorption equation"@en ; ; ; ; "monolayer adsorption equation including lateral interactions"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "f"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "KF"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821333 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Frumkin model)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Frumkin equilibrium constant and the lateral interaction parameter by fitting the nonlinear Frumkin isotherm equation to measured solute concentration and fractional surface coverage data. The task captures deviations from ideal Langmuir behavior arising from attractive or repulsive interactions among adsorbed molecules. Nonlinear fitting preserves the thermodynamic structure of the model and avoids distortions introduced by linearization. The resulting parameters characterize both adsorption affinity and interaction effects on the adsorbent surface."@en ; ; ; , , , , ; ; "nonlinear estimation of Frumkin isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821334 rdf:type owl:NamedIndividual , ; rdfs:label "Frumkin isotherm model"@en ; "The Frumkin isotherm model is an adsorption model that extends the Langmuir framework by explicitly accounting for lateral interactions between adsorbed molecules. It assumes monolayer adsorption on a surface with energetically equivalent sites while allowing attractive or repulsive interactions among neighboring adsorbates. The strength and sign of these interactions influence the shape of the adsorption isotherm and the variation of adsorption energy with surface coverage. In the absence of lateral interactions, the Frumkin model reduces to the Langmuir isotherm. The model is closely related to the Fowler–Guggenheim isotherm and is widely applied in solution-phase adsorption studies, including chemical wastewater treatment."@en ; ; ; ; ; ; , ; "adsorption isotherm with lateral adsorbate interactions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821338 rdf:type owl:NamedIndividual , ; rdfs:label "Baudu monolayer adsorption capacity"@en ; ; ; "reference monolayer adsorption capacity parameter"@en . ### https://portal.mardi4nfdi.de/entity/Q6821339 rdf:type owl:NamedIndividual , ; rdfs:label "Baudu affinity constant"@en ; ; ; "reference adsorption affinity constant"@en . ### https://portal.mardi4nfdi.de/entity/Q6821340 rdf:type owl:NamedIndividual , ; rdfs:label "Baudu affinity exponent"@en ; ; ; "exponent governing concentration dependence of affinity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821341 rdf:type owl:NamedIndividual , ; rdfs:label "Baudu capacity exponent"@en ; ; ; "exponent governing concentration dependence of capacity"@en . ### https://portal.mardi4nfdi.de/entity/Q6821343 rdf:type owl:NamedIndividual , ; "x"@en ; "1+x<1"@en ; rdfs:label "Baudu denominator exponent constraint"@en ; ; ; "constraint for exponent in denominator of Baudu equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821344 rdf:type owl:NamedIndividual , ; "x"@en , "y"@en ; "1+x+y<1"@en ; rdfs:label "Baudu numerator exponent constraint"@en ; ; ; "constraint for exponent in numerator of Baudu equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821345 rdf:type owl:NamedIndividual , ; "x"@en , "y"@en , "Ce"@en , "b0"@en , "qe"@en , "qmB"@en ; "qe=qmBb0Ce1+x+y1+b0Ce1+x"@en ; rdfs:label "Baudu adsorption equation"@en ; ; ; ; "concentration-dependent Langmuir-type adsorption equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b0"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qmB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821346 rdf:type owl:NamedIndividual , ; "b"@en , "x"@en , "Ce"@en , "b0"@en ; "b=b0Cex"@en ; rdfs:label "Baudu concentration-dependent affinity formulation"@en ; ; ; "power-law dependence of Langmuir affinity on concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "x"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "b0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821347 rdf:type owl:NamedIndividual , ; "y"@en , "Ce"@en , "qm"@en , "qmB"@en ; "qm=qmBCey"@en ; rdfs:label "Baudu concentration-dependent capacity formulation"@en ; ; ; "power-law dependence of Langmuir capacity on concentration"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "y"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qm"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qmB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821349 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Baudu model)"@en ; "This task performs nonlinear parameter estimation using adsorption equilibrium data to fit the Baudu isotherm model. The objective is to estimate the reference monolayer capacity, reference affinity constant, and the two empirical exponents describing their concentration dependence. The nonlinear fitting approach preserves the intrinsic structure of the Baudu equation and avoids bias introduced by linearization. The resulting parameters quantify surface heterogeneity and explain deviations from constant Langmuir behavior over wide concentration ranges."@en ; ; ; , , , , , , , , ; ; "nonlinear estimation of Baudu isotherm parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821350 rdf:type owl:NamedIndividual , ; rdfs:label "Baudu isotherm model"@en ; "The Baudu isotherm model is an empirical adsorption model derived from the Langmuir equation by allowing both the adsorption affinity and the monolayer capacity to vary with equilibrium concentration. It was introduced to account for systematic deviations from constant Langmuir parameters observed over wide concentration ranges. By expressing the Langmuir constants as power-law functions of concentration, the model captures surface heterogeneity and concentration-dependent adsorption behavior. At low surface coverage, the Baudu model reduces to the Freundlich isotherm, while retaining a monolayer adsorption structure. The model has been reported to provide improved fits compared with other four-parameter monolayer isotherms in liquid-phase adsorption systems."@en ; ; ; ; , , , , ; ; , , ; "empirical four-parameter monolayer adsorption isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821351 rdf:type owl:NamedIndividual , ; rdfs:label "computation of daylength"@en ; "This task computes the duration of daylight for a given day and geographic location using latitude and solar declination angle. The task produces a deterministic estimate of photoperiod for each simulation day. The resulting daylength is used to modulate radiation-driven and phenology-dependent biological processes."@en ; ; ; , , , , ; "calculates daily daylight duration"@en . ### https://portal.mardi4nfdi.de/entity/Q6821352 rdf:type owl:NamedIndividual , ; rdfs:label "daylength model"@en ; "This model estimates the duration of daylight for a given day and geographic location using astronomical relationships between the Earth and the Sun. Daylength is calculated from latitude and the seasonal variation of the Sun’s declination angle, which arises from Earth’s axial tilt and orbital motion. The model provides a deterministic and time-dependent representation of photoperiod that varies systematically over the year. It does not include biological or atmospheric processes and relies solely on geometric principles. The resulting daylength is used as an environmental forcing variable in crop growth and phenological models."@en ; ; ; ; , ; ; "astronomical model to estimate the daylength"@en . ### https://portal.mardi4nfdi.de/entity/Q6821353 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of astronomical daylength"@en ; ; ; ; "determine daily photoperiod from Earth–Sun geometry"@en . ### https://portal.mardi4nfdi.de/entity/Q6821354 rdf:type owl:NamedIndividual , ; rdfs:label "computation of leaf area index dynamics"@en ; "This task computes the daily evolution of leaf area index throughout the crop growing season. It updates leaf area based on phenological development during the expansion phase and reduces leaf area during senescence. The task incorporates crop-specific limits and stress modulation. The resulting leaf area index is used by radiation interception and other canopy-related processes."@en ; ; ; , , , , , , , , , , , ; "simulates daily leaf area index change"@en . ### https://portal.mardi4nfdi.de/entity/Q6821355 rdf:type owl:NamedIndividual , ; rdfs:label "leaf area index model"@en ; "This model simulates the temporal evolution of leaf area index for a crop canopy over the growing season. Leaf area development is driven by phenological progress and constrained by crop-specific maximum values. During early growth stages, the model represents leaf expansion, while during later stages it accounts for leaf senescence and decline. Crop stress factors may reduce the rate of leaf area development relative to potential conditions. The simulated leaf area index is used to control canopy processes such as radiation interception and energy exchange."@en ; ; ; ; , , , ; ; "model simulating temporal development of canopy leaf area"@en . ### https://portal.mardi4nfdi.de/entity/Q6821356 rdf:type owl:NamedIndividual , ; rdfs:label "crop canopy development"@en ; "This research problem focuses on the development of plant canopy leaf area over the growing season. Leaf area determines light interception, transpiration, and energy exchange between vegetation and the atmosphere. Canopy development depends on phenological progress, growth conditions, and senescence processes. Accurately representing these dynamics is essential for modeling crop growth and ecosystem functioning. The problem links plant structure with physiological and environmental drivers."@en ; ; ; ; "temporal dynamics of canopy leaf area"@en . ### https://portal.mardi4nfdi.de/entity/Q6821357 rdf:type owl:NamedIndividual , ; rdfs:label "computation of intercepted photosynthetically active radiation"@en ; "This task computes the amount of photosynthetically active radiation intercepted by a plant canopy. It uses incoming solar radiation and canopy structural properties to estimate the absorbed radiation fraction. The computation assumes a continuous canopy and applies an exponential attenuation formulation. The resulting intercepted radiation serves as an input to biomass production and other radiation-driven processes."@en ; ; ; , , , , , , ; "calculates canopy-intercepted photosynthetically active radiation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821358 rdf:type owl:NamedIndividual , ; rdfs:label "solar radiation interception model"@en ; "This model estimates the fraction of incoming solar radiation that is intercepted by a plant canopy. Interception is computed as a function of incoming radiation and canopy structural properties, particularly leaf area index. The model represents attenuation of radiation within the canopy using an exponential formulation derived from physical light extinction principles. It produces an estimate of photosynthetically active radiation available for photosynthesis. The intercepted radiation serves as a key input to biomass production and other radiation-driven processes."@en ; ; ; ; , ; ; "model estimating canopy-intercepted solar radiation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821359 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of canopy-intercepted solar radiation"@en ; "This research problem concerns the estimation of the portion of incoming solar radiation that is intercepted by a plant canopy. Intercepted radiation determines the energy available for photosynthesis and biomass production. The amount intercepted depends on canopy structure and leaf area distribution. Accurate estimation is essential for modeling plant growth and energy exchange processes. The problem links physical radiation principles with biological canopy properties."@en ; ; ; ; "quantify radiation intercepted by a plant canopy"@en . ### https://portal.mardi4nfdi.de/entity/Q6821360 rdf:type owl:NamedIndividual , ; rdfs:label "maximum crop height"@en ; ; ; "maximum height of crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6821361 rdf:type owl:NamedIndividual , ; rdfs:label "crop height"@en ; ; ; ; "height of a crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6821362 rdf:type owl:NamedIndividual , ; "CHT"@en , "HMX"@en , "HUF"@en ; "CHTi=HMXjHUFi"@en ; rdfs:label "crop height equation"@en ; "This equation computes crop height as a function of phenological development. Height increases with accumulated thermal progress and approaches a crop-specific maximum value as the crop matures. The formulation assumes a monotonic relationship between development stage and plant height, representing structural growth in a simplified manner. It does not explicitly model biomass allocation or mechanical growth processes. The equation provides a deterministic estimate of canopy height at discrete time steps for use in crop growth and environmental models."@en ; ; ; "computes height of crop"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "CHT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HMX"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUF"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821363 rdf:type owl:NamedIndividual , ; rdfs:label "computation of crop height"@en ; "This task computes crop height as a function of phenological progress during the growing season. It uses a normalized development factor to scale crop height between emergence and maturity. The task produces a deterministic estimate of crop height at each time step. The resulting height can be used to parameterize canopy structure and related processes."@en ; ; ; , , , , , , ; "calculates crop height from phenological development"@en . ### https://portal.mardi4nfdi.de/entity/Q6821364 rdf:type owl:NamedIndividual , ; rdfs:label "crop height model"@en ; "This model simulates the temporal development of crop height during the growing season. Crop height is represented as a function of phenological progress, reflecting structural growth of the plant. The model scales height from emergence toward a crop-specific maximum as development advances. It provides a simplified, deterministic representation of canopy vertical structure without explicitly modeling mechanical or anatomical processes. The simulated crop height is used to characterize canopy structure in crop growth and land surface models."@en ; ; ; ; , , ; ; "model simulating crop height development over time"@en . ### https://portal.mardi4nfdi.de/entity/Q6821365 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of crop height development"@en ; ; ; ; "quantify crop height as a function of phenological development"@en . ### https://portal.mardi4nfdi.de/entity/Q6821366 rdf:type owl:NamedIndividual , ; rdfs:label "Weber-van Vliet Parameter 1"@en ; ; ; "scaling parameter in Weber-van Vliet isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821367 rdf:type owl:NamedIndividual , ; rdfs:label "Weber-van Vliet Parameter 2"@en ; ; ; ; "scaling parameter in Weber-van Vliet isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821368 rdf:type owl:NamedIndividual , ; rdfs:label "Weber-van Vliet Parameter 3"@en ; ; ; ; "scaling parameter in Weber-van Vliet isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821369 rdf:type owl:NamedIndividual , ; rdfs:label "Weber-van Vliet Parameter 4"@en ; ; ; ; "scaling parameter in Weber-van Vliet isotherm"@en . ### https://portal.mardi4nfdi.de/entity/Q6821372 rdf:type owl:NamedIndividual , ; "Ce"@en , "P1"@en , "P2"@en , "P3"@en , "P4"@en , "qe"@en ; "Ce=P1qeP2qeP3+P4"@en ; rdfs:label "Weber-van Vliet equation"@en ; ; ; ; "empirical nonlinear adsorption equilibrium equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "P4"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "qe"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821375 rdf:type owl:NamedIndividual , ; rdfs:label "nonlinear parameter estimation (Weber-van Vliet model)"@en ; "This task performs nonlinear parameter estimation using experimental adsorption equilibrium data. The objective is to determine the Weber-van Vliet model parameters by fitting the nonlinear Weber-van Vliet equation to measured equilibrium solute concentration and adsorbed amount data. The fitting procedure minimizes deviations between experimental observations and model predictions across the full concentration range. The resulting parameters provide a flexible empirical representation of adsorption behavior when simpler isotherm models are inadequate. The task is commonly applied in adsorption studies related to chemical wastewater treatment."@en ; ; ; , , , , , , ; ; "nonlinear estimation of Weber-van Vliet parameters"@en . ### https://portal.mardi4nfdi.de/entity/Q6821376 rdf:type owl:NamedIndividual , ; rdfs:label "Weber-van Vliet isotherm model"@en ; "The Weber-van Vliet isotherm model is an empirical adsorption model developed to describe equilibrium adsorption behavior using a flexible four-parameter formulation. It directly relates equilibrium solute concentration to adsorbed amount without assuming ideal monolayer adsorption or a specific adsorption mechanism. The model is particularly useful when classical two-parameter isotherms such as Langmuir or Freundlich fail to fit experimental data over wide concentration ranges. Due to its empirical nature, the parameters do not have a strict physical interpretation but provide high flexibility in curve fitting. The model has been applied in adsorption studies relevant to chemical and environmental engineering, including wastewater treatment."@en ; ; ; ; ; , , , ; "empirical four-parameter adsorption isotherm model"@en . ### https://portal.mardi4nfdi.de/entity/Q6821377 rdf:type owl:NamedIndividual , ; rdfs:label "total root weight increment"@en ; "This quantity represents the potential daily increase in crop root biomass on a specific day. It is computed as the portion of total biomass growth allocated to the root system. The value reflects phenology-dependent carbon partitioning rather than independent root growth. It is used to update the total root biomass and to drive subsequent root distribution calculations. It is expressed as a mass per unit area."@en ; ; ; "daily change in total root weight"@en . ### https://portal.mardi4nfdi.de/entity/Q6821378 rdf:type owl:NamedIndividual , ; rdfs:label "root weight in soil layer increment"@en ; "This quantity represents the root weight increment allocated to a specific soil layer. It is a portion of the total root weight increment."@en ; ; ; "daily change in root weight in soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6821379 rdf:type owl:NamedIndividual , ; rdfs:label "plant water use rate in soil layer"@en ; "This quantity represents the amount of water extracted by plant roots from a specific soil layer on a specific day. It reflects both root presence and soil water availability in that layer. Water use is reduced when soil moisture is limiting or when root stress factors restrict root function."@en ; ; ; "plant water use rate in soil layer considering soil moisture"@en . ### https://portal.mardi4nfdi.de/entity/Q6821380 rdf:type owl:NamedIndividual , ; rdfs:label "rooting depth"@en ; "This quantity represents the vertical extent of the crop root system on a specific day. It defines the maximum soil depth from which roots can extract water and nutrients. Rooting depth increases as the crop develops and is capped by the soil profile depth. The value constrains root biomass distribution and soil–plant exchange processes. It is expressed as a length."@en ; ; ; ; "depth of roots"@en . ### https://portal.mardi4nfdi.de/entity/Q6821381 rdf:type owl:NamedIndividual , ; rdfs:label "maximum root depth"@en ; "This quantity represents the maximum rooting depth attainable by a crop under ideal soil conditions. It is a crop-specific parameter reflecting genetic potential for root system expansion."@en ; ; ; "crop-specific maximum rooting depth under ideal soil conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q6821382 rdf:type owl:NamedIndividual , ; rdfs:label "root zone depth"@en ; "This quantity represents the depth of the soil profile available for root growth. It constrains the maximum rooting depth that can be attained regardless of crop potential. It reflects physical soil limitations such as bedrock or impermeable layers."@en ; ; ; "maximum depth available for root growth in the soil profile"@en . ### https://portal.mardi4nfdi.de/entity/Q6821383 rdf:type owl:NamedIndividual , ; "HUI"@en , "ΔRWT"@en , "ΔBP"@en ; "ΔRWTi=ΔBP,i(0.4−0.2HUIi)"@en ; rdfs:label "root biomass partitioning equation"@en ; "This equation computes the potential daily increase in root biomass by allocating a fraction of total crop biomass growth to the root system. The allocation fraction decreases linearly with phenological development, reflecting empirical observations that crops invest more biomass in roots during early growth stages than at maturity. At emergence, a larger share of biomass is assigned to root growth, while this share is reduced as the crop develops. The formulation represents a simplified biomass partitioning rule rather than an independent root growth process. The resulting root biomass increment is used as input for subsequent root distribution and soil interaction calculations."@en ; ; ; "computes fraction of biomass allocated to roots"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔRWT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔBP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821384 rdf:type owl:NamedIndividual , ; "u"@en , "ΔRW"@en , "ΔRWT"@en ; "ΔRWi,l=ΔRWTiui,l∑l=1Mui,l"@en ; rdfs:label "root biomass distribution equation"@en ; "This equation distributes the total daily increase in root biomass among soil layers in proportion to plant water use in each layer. The formulation assumes that layers contributing more to water uptake also receive a larger share of new root growth. Normalization by total water use ensures conservation of total root biomass increment across layers. The approach yields realistic vertical root distributions under non-limiting conditions and dynamically adjusts allocation when soil water or root stress factors reduce water uptake."@en ; ; ; "allocates root biomass growth according to water use"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔRW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔRWT"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821385 rdf:type owl:NamedIndividual , ; "HUI"@en , "RD"@en , "RDMX"@en ; "RDi=2.5RDMXjHUIi"@en ; rdfs:label "rooting depth equation"@en ; "This equation computes crop rooting depth as a linear function of phenological development represented by the heat unit index. Root depth increases proportionally with heat unit accumulation and approaches a crop-specific maximum under ideal soil conditions. A scaling constant ensures that maximum rooting depth is attained early in the growing season, before physiological maturity. The computed rooting depth is constrained by the soil profile depth, preventing roots from extending beyond the available root zone. The equation provides a simplified representation of root system expansion."@en ; ; ; "computes crop rooting depth from heat unit index"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RDMX"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821386 rdf:type owl:NamedIndividual , ; "RD"@en , "RZ"@en ; "RDi≤RZj"@en ; rdfs:label "rooting depth constraint"@en ; "This constraint limits simulated crop rooting depth to the depth of the soil profile. It prevents roots from extending beyond physically available soil layers. The constraint reflects soil-imposed limitations on root system expansion. It is applied after computing potential rooting depth from phenological development."@en ; ; ; "limits rooting depth to soil profile depth"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RZ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821387 rdf:type owl:NamedIndividual , ; rdfs:label "computation of root biomass allocation"@en ; "This task computes the fraction of daily crop biomass growth that is allocated to the root system. The allocation fraction is determined as a linear function of phenological development. The task produces a deterministic estimate of daily root biomass increment, which is used to update root system mass."@en ; ; ; , , , , , , , ; "allocates daily biomass growth to the root system"@en . ### https://portal.mardi4nfdi.de/entity/Q6821388 rdf:type owl:NamedIndividual , ; rdfs:label "computation of rooting depth"@en ; "This task computes crop rooting depth as a function of phenological development and crop-specific root characteristics. Rooting depth increases with accumulated heat units and is capped by the potential root zone depth of the soil. The task produces a deterministic estimate of rooting depth at each time step. The resulting depth constrains root biomass distribution and soil water and nutrient uptake processes."@en ; ; ; , , , , , , ; "calculates crop rooting depth from phenological development"@en . ### https://portal.mardi4nfdi.de/entity/Q6821389 rdf:type owl:NamedIndividual , ; rdfs:label "computation of root biomass distribution"@en ; "This task computes how daily root biomass growth is distributed across the soil profile. It allocates the total root biomass increment to individual soil layers based on their relative contribution to plant water uptake. The task produces a layer-specific root biomass increment for each time step. The resulting distribution is used to represent root presence and function within the soil."@en ; ; ; , , , , , , , ; "allocates daily root growth to soil layers"@en . ### https://portal.mardi4nfdi.de/entity/Q6821390 rdf:type owl:NamedIndividual , ; rdfs:label "root biomass partitioning model"@en ; "This model computes the potential daily increase in crop root biomass by allocating a fraction of total biomass growth to the root system. The allocation fraction decreases linearly with phenological development, reflecting a shift in carbon partitioning from roots to aboveground organs as the crop matures. At emergence, a larger share of biomass is allocated to roots, while at maturity this share is reduced. The model represents empirical knowledge of crop biomass partitioning in a simplified and deterministic manner. The resulting root biomass increment serves as input for root distribution and soil interaction models."@en ; ; ; ; , , ; ; "model allocating biomass growth to the root system"@en . ### https://portal.mardi4nfdi.de/entity/Q6821391 rdf:type owl:NamedIndividual , ; rdfs:label "root depth model"@en ; "This model simulates the temporal development of crop rooting depth during the growing season. Root depth increases as a function of phenological development and approaches a crop-specific maximum under ideal soil conditions. The model assumes that rooting depth expands rapidly early in the growing season and reaches its maximum well before physiological maturity. Root depth is constrained by the depth of the soil profile, preventing unrealistic penetration beyond available soil layers. The simulated rooting depth limits the spatial extent of root biomass distribution and soil resource uptake."@en ; ; ; ; , , ; ; "model simulating crop rooting depth development"@en . ### https://portal.mardi4nfdi.de/entity/Q6821392 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of root biomass partitioning"@en ; "This research problem addresses the estimation of how total crop biomass growth is partitioned between aboveground and belowground components. Biomass allocation to roots varies systematically over the growing season and influences soil resource uptake. Representing this allocation is essential for modeling crop growth and plant–soil interactions. The problem focuses on capturing empirically observed shifts in partitioning as crops develop from emergence to maturity."@en ; ; ; ; "quantify allocation of crop biomass to roots"@en . ### https://portal.mardi4nfdi.de/entity/Q6821393 rdf:type owl:NamedIndividual , ; rdfs:label "root biomass distribution model"@en ; "This model simulates the vertical distribution of root biomass growth within the soil profile. Newly formed root biomass is allocated among soil layers in proportion to plant water use in each layer. This approach links root development to functional root activity rather than purely geometric depth. Under non-limiting conditions, the formulation produces an exponential decrease in root biomass with depth. When soil water availability or root stress factors constrain growth, both water use and root biomass allocation are reduced accordingly."@en ; ; ; ; , , ; ; "model distributing root biomass growth across soil layers"@en . ### https://portal.mardi4nfdi.de/entity/Q6821394 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of crop rooting depth"@en ; "This research problem addresses the estimation of how deep crop roots extend into the soil over time. Rooting depth determines access to water and nutrients stored in deeper soil layers and influences crop resilience to drought. In many crops, rooting depth increases rapidly early in development and reaches its maximum before maturity. Accurate representation of rooting depth is essential for modeling soilplant interactions and belowground resource availability. The problem links phenological development with physical constraints imposed by soil depth."@en ; ; ; ; "quantify the vertical extent of the crop root system"@en . ### https://portal.mardi4nfdi.de/entity/Q6821395 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of vertical root biomass distribution"@en ; "This research problem concerns the representation of how crop root biomass is distributed vertically within the soil profile. Root distribution determines which soil layers contribute to water and nutrient uptake. A realistic description must account for functional root activity rather than only geometric depth. The problem focuses on linking root growth allocation to soil-layer-specific conditions, such as water availability. Accurate representation of vertical root distribution is essential for modeling soil-plant interactions and crop responses to environmental stress."@en ; ; ; ; "quantify how root growth is distributed across soil layers"@en . ### https://portal.mardi4nfdi.de/entity/Q6821396 rdf:type owl:NamedIndividual , ; rdfs:label "pendular amplitude (initial value)"@en ; ; ; "initial value of the amplitude of a (mathematical) pendulum"@en . ### https://portal.mardi4nfdi.de/entity/Q6821397 rdf:type owl:NamedIndividual , ; "t"@en , "ϕ"@en , "ϕ0"@en ; "ϕ(t=0)=ϕ0"@en ; rdfs:label "mathematical pendulum (initial condition)"@en ; ; ; "specifying the initial condition of a mathematical pendulum"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821398 rdf:type owl:NamedIndividual , ; "t"@en , "ϕ"@en , "ϕ0"@en ; "ϕ(t)=ϕ0cos⁡(gℓt)"@en ; rdfs:label "mathematical pendulum solution (small angle)"@en ; ; ; ; "analytical solution for a mathematical pendulum using the small angle approximation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821402 rdf:type owl:NamedIndividual , ; rdfs:label "determine frequency of a pendulum"@en ; ; ; , , , ; "calculate frequency from length and mass of pendulum"@en . ### https://portal.mardi4nfdi.de/entity/Q6821403 rdf:type owl:NamedIndividual , ; "g"@en , "l"@en , "ω"@en ; "ω=gl"@en ; rdfs:label "mathematical pendulum frequency"@en ; ; ; "frequency of a mathematical pendulum"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821404 rdf:type owl:NamedIndividual , ; "g"@en , "ϕ"@en , "ℓ"@en ; "ϕ¨+gℓsin⁡ϕ=0"@en ; rdfs:label "mathematical pendulum equation"@en ; ; ; ; "ordinary differential equation for a mathematical pendulum, for arbitrary amplitudes"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821405 rdf:type owl:NamedIndividual , ; rdfs:label "mathematical pendulum model"@en ; ; , ; ; , , ; ; , , , , ; ; ; ; "point mass swinging on a massless rod without friction, for arbitrary initial amplitudes"@en . ### https://portal.mardi4nfdi.de/entity/Q6821413 rdf:type owl:NamedIndividual , ; rdfs:label "physiology"@en ; "Q521"@en ; ; ; ; "science regarding function of organisms or living systems"@en . ### https://portal.mardi4nfdi.de/entity/Q6821414 rdf:type owl:NamedIndividual , ; rdfs:label "potential harvest index"@en ; ; ; "ratio of crop yield to above ground biomass on a specific day"@en . ### https://portal.mardi4nfdi.de/entity/Q6821415 rdf:type owl:NamedIndividual , ; rdfs:label "potential harvest index at maturity"@en ; ; ; "ratio of crop yield to above ground biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6821416 rdf:type owl:NamedIndividual , ; rdfs:label "daily harvest index heat unit factor"@en ; ; ; "harvest index heat unit factor per day"@en . ### https://portal.mardi4nfdi.de/entity/Q6821417 rdf:type owl:NamedIndividual , ; rdfs:label "harvest index heat unit factor"@en ; ; ; "heat unit factor affecting harvest index"@en . ### https://portal.mardi4nfdi.de/entity/Q6821418 rdf:type owl:NamedIndividual , ; rdfs:label "crop yield"@en ; "Q889514"@en ; ; ; "total yield, or yield per unit area of land"@en . ### https://portal.mardi4nfdi.de/entity/Q6821419 rdf:type owl:NamedIndividual , ; rdfs:label "accumulated potential above-ground biomass"@en ; ; ; "total potential biomass above-ground"@en . ### https://portal.mardi4nfdi.de/entity/Q6821420 rdf:type owl:NamedIndividual , ; rdfs:label "accumulated total root weight"@en ; ; ; "total weight of roots"@en . ### https://portal.mardi4nfdi.de/entity/Q6821421 rdf:type owl:NamedIndividual , ; rdfs:label "above-ground biomass"@en ; "Q117133479"@en ; ; ; ; "all living biomass above the soil including stem, stump, branches, bark, seeds and foliage"@en . ### https://portal.mardi4nfdi.de/entity/Q6821422 rdf:type owl:NamedIndividual , ; "HI"@en , "HIA"@en , "ΔHUFH"@en ; "HIAi=HIj∑K=1iΔHUFHK"@en ; rdfs:label "harvest index accumulation equation"@en ; "This equation computes the harvest index on a specific day by accumulating the harvest index heat unit factor over time. It represents the gradual allocation of above-ground biomass to crop yield as the crop develops. The formulation ensures that harvest index increases from zero at planting to its maximum value at maturity. It captures the temporal dynamics of reproductive development."@en ; ; ; "computes daily harvest index value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HIA"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔHUFH"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821423 rdf:type owl:NamedIndividual , ; "HUFH"@en , "HUI"@en ; "HUFHi=HUIiHUIi+e6.50−10.0HUIi"@en ; rdfs:label "harvest index heat unit factor equation"@en ; "This equation computes a heat unit factor that controls the rate of harvest index development. The factor increases non-linearly with phenological development represented by the heat unit index. Parameter values are chosen so that most crop yield is produced during the second half of the growing season. The formulation reflects observed reproductive development patterns in grain crops."@en ; ; ; "computes phenological scaling factor for harvest index"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUFH"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821424 rdf:type owl:NamedIndividual , ; "HI"@en , "YLD"@en , "BAG"@en ; "YLDj=HIjBAG"@en ; rdfs:label "crop economic yield equation"@en ; "This equation computes crop economic yield as the product of harvest index and above-ground biomass. It assumes that yield is proportional to vegetative biomass production. The formulation represents a harvest index–based yield estimation approach commonly used in crop models. It provides a simple and robust link between biomass growth and harvestable yield."@en ; ; ; "computes economic yield from harvest index"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "YLD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "BAG"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821425 rdf:type owl:NamedIndividual , ; "RWT"@en , "i"@en , "ΔRWT"@en ; "RWTi=RWTi−1+ΔRWTi"@en ; rdfs:label "total root weight accumulation equation"@en ; "This equation updates the accumulated total root weight by adding the daily total root weight increment to its previous value. It represents the temporal integration of daily root weight production over the growing season. The formulation assumes that root weight accumulation is additive and does not impose additional physiological constraints beyond those governing daily production. The equation is applied at each simulation time step to maintain the root weight state variable. It provides the accumulated total root weight used in subsequent yield formation processes."@en ; ; ; "accumulates daily total root weight"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RWT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔRWT"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821426 rdf:type owl:NamedIndividual , ; "RWT"@en , "Bp"@en , "BAG"@en ; "BAG,i=BP,i−RWTi"@en ; rdfs:label "above-ground biomass equation"@en ; ; ; "determine above-ground biomass from total biomass and root weight"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RWT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Bp"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "BAG"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821427 rdf:type owl:NamedIndividual , ; rdfs:label "computation of harvest index heat unit factor"@en ; "This task computes a phenological scaling factor that governs the rate of harvest index development. The factor is derived from the heat unit index using a non-linear response function that reflects observed patterns of reproductive development in crops. It ensures that harvest index increases slowly during early growth and more rapidly during later stages of development. The task provides the daily heat unit factor used as input to the harvest index development computation. It links phenological progress to above ground biomass allocation to crop yield."@en ; ; ; , , , ; "calculates heat unit factor affecting harvest index"@en . ### https://portal.mardi4nfdi.de/entity/Q6821428 rdf:type owl:NamedIndividual , ; rdfs:label "computation of above-ground biomass"@en ; "This task computes the total above-ground biomass from the accumulated potential biomass and the accumulated potential root weight."@en ; ; ; , , , , , ; "calculates above-ground biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6821429 rdf:type owl:NamedIndividual , ; rdfs:label "computation of harvest index development"@en ; "This task computes the temporal development of harvest index over the growing season. It integrates the daily heat unit-based harvest index factor to represent the progressive allocation of above ground biomass to crop yield. The task produces the harvest index value for each time step, starting from zero at planting and approaching a crop-specific maximum at maturity. It depends on the computation of the harvest index heat unit factor, which controls the rate and timing of development. The resulting harvest index is used to track the progression of reproductive development and to determine when the crop has reached its final harvest index value."@en ; ; ; , , , , ; "calculates harvest index over time"@en . ### https://portal.mardi4nfdi.de/entity/Q6821430 rdf:type owl:NamedIndividual , ; rdfs:label "computation of crop economic yield"@en ; "This task computes crop economic yield by multiplying above-ground biomass by harvest index. It produces a final yield estimate at maturity. The task assumes non-stressed conditions unless modified by additional stress models."@en ; ; ; , , , , ; "calculates harvestable crop yield"@en . ### https://portal.mardi4nfdi.de/entity/Q6821431 rdf:type owl:NamedIndividual , ; rdfs:label "harvest index development model"@en ; "This model simulates the development of harvest index over the growing season. Harvest index represents the fraction of above-ground biomass allocated to crop yield. The model assumes that harvest index increases non-linearly from planting to maturity under non-stressed conditions. Development is controlled by phenological progress using a heat unit based scaling factor. The simulated harvest index is used to compute final crop yield."@en ; ; , ; ; , , ; ; "model simulating temporal development of harvest index"@en . ### https://portal.mardi4nfdi.de/entity/Q6821432 rdf:type owl:NamedIndividual , ; rdfs:label "economic yield model"@en ; "This model computes crop economic yield using the harvest index concept. Economic yield is calculated as the product of harvest index and above-ground biomass at maturity. The formulation assumes that yield is proportional to accumulated vegetative production. The model provides a simplified but robust estimate of harvestable crop yield. It does not explicitly represent grain filling or reproductive organ growth."@en ; ; , ; ; , , ; ; "model computing crop economic yield from above-ground biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6821433 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of harvest index development"@en ; "This research problem addresses how crops allocate above-ground biomass to reproductive or economic organs over time. Harvest index is often relatively stable at maturity but develops dynamically during the growing season. Accurately representing its development is essential for predicting crop yield. The problem links phenological development with above-ground biomass partitioning to reproductive structures."@en ; ; ; ; "quantify temporal allocation of above-ground biomass to crop yield"@en . ### https://portal.mardi4nfdi.de/entity/Q6821434 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of crop economic yield"@en ; "This research problem concerns the estimation of harvestable crop yield based on biomass production. Economic yield represents the portion of plant biomass that can be removed from the field. Accurate yield estimation is central to agricultural and food system modeling. The problem links biomass accumulation with reproductive allocation."@en ; ; ; ; "quantify harvestable yield from above-ground crop biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6821435 rdf:type owl:NamedIndividual , ; rdfs:label "agronomy"@en ; "Q173113"@en ; "Agronomy is the science and technology of producing and using plants for food, fuel, fiber, and land management. A central concern of the discipline is the estimation and improvement of crop yield under field conditions. Agronomic models translate plant growth processes into practical measures of agricultural productivity. Harvest index–based approaches provide a widely used method to link biomass production with economically relevant yield."@en ; ; ; , , , ; "science and technology of producing and using plants for food, fuel, fiber, and reclamation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821436 rdf:type owl:NamedIndividual , ; "𝒰ℛ"@en , "Ce"@en ; "Ce*=𝒰ℛ(Ce)"@en ; rdfs:label "solute concentration (equilibrium, dimensionless)"@en ; ; ; "nondimensionalized concentration of solute remaining in the solution phase at adsorption equilibrium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒰ℛ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ce"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821438 rdf:type owl:NamedIndividual , ; "Z"@en , "[.]"@en , "𝒰ℛ"@en ; "𝒰ℛ(Z)=Z[Z]"@en ; rdfs:label "unit removing operator"@en ; ; ; "operator removing the unit of a quantity without changing its numerical value"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "[.]"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒰ℛ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821439 rdf:type owl:NamedIndividual , ; "T"@en , "g"@en , "ℓ"@en ; "T=2πℓg"@en ; rdfs:label "mathematical pendulum period (small angle)"@en ; "This relation is also known as Christiaan Huygens's law for the period of a pendulum. Note that under the small-angle approximation, the period is independent of the initial amplitude; this is the property of isochronism that Galileo first discovered."@en ; ; ; ; "period of vibration of a mathematical pendulum, within the small angle approximation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821440 rdf:type owl:NamedIndividual , ; "T"@en , "ω"@en ; "T≡2πω"@en ; rdfs:label "vibration period (harmonic)"@en ; ; ; "period of harmonic vibration, e.g. of a molecule"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821441 rdf:type owl:NamedIndividual , ; rdfs:label "determine period of a pendulum (small angle)"@en ; ; ; , , , ; "calculate period from length and mass of pendulum, assuming small angle approximation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821442 rdf:type owl:NamedIndividual , ; rdfs:label "determine length of a pendulum (small angle)"@en ; ; ; , , , ; "calculate length from desired period and mass of pendulum, assuming small angle approximation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821443 rdf:type owl:NamedIndividual , ; "T"@en , "g"@en , "ℓ"@en ; "ℓ=gπ2T24"@en ; rdfs:label "mathematical pendulum length (small angle)"@en ; ; ; "length of a mathematical pendulum, within the small angle approximation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821444 rdf:type owl:NamedIndividual , ; rdfs:label "determine trajectory of a pendulum"@en ; ; ; , , , , , ; "solve equation of motion of a pendulum by numerical integration, for arbitrary initial amplitudes"@en . ### https://portal.mardi4nfdi.de/entity/Q6821445 rdf:type owl:NamedIndividual , ; rdfs:label "determine period of a pendulum"@en ; ; ; , , , , ; ; "calculate period from length and mass of pendulum, for arbitrary initial amplitudes"@en . ### https://portal.mardi4nfdi.de/entity/Q6821446 rdf:type owl:NamedIndividual , ; "T"@en , "g"@en , "ϕ"@en , "ℓ"@en , "ϕ0"@en ; "T=4ℓ2g∫0ϕ0dϕcos⁡ϕ−cos⁡ϕ0"@en ; rdfs:label "mathematical pendulum period"@en ; ; ; ; "analytical expression for the period of vibration of a mathematical pendulum, for arbitrary initial amplitude"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821513 rdf:type owl:NamedIndividual , ; rdfs:label "edge"@en ; "PolygonEdge"@en , "PolytopeEdge"@en ; "Q26382"@en ; ; ; "arestes"@en ; "fr:Arête_(géométrie)"@en ; ; "/m/02vrrdq"@en ; "0160377"@en ; , , ; "49D421"@en ; "00071436n"@en ; "scot/5533"@en , "scot/6564"@en ; "pcrtbtkwcvwsc1"@en ; "辺"@en ; , ; , , ; "31914301"@en ; ; "math:Side"@en ; ; "line segment joining two adjacent vertices in a polygon or polytope"@en . ### https://portal.mardi4nfdi.de/entity/Q6821576 rdf:type owl:NamedIndividual , ; rdfs:label "hydrology"@en ; "Q42250"@en ; "Hydrology is the scientific study of the occurrence, movement, distribution, and quality of water on Earth and in the atmosphere. It examines the processes of the water cycle, including precipitation, evaporation, infiltration, runoff, and groundwater flow. Hydrology provides the theoretical and methodological basis for understanding water availability in natural and managed systems. The discipline supports applications in water resource management, agriculture, ecology, and environmental protection."@en ; ; ; ; "science that deals with the water above, on and below the land surface of the earth"@en . ### https://portal.mardi4nfdi.de/entity/Q6821577 rdf:type owl:NamedIndividual , ; rdfs:label "potential plant evaporation rate"@en ; ; ; "maximum evaporation rate of crop canopy"@en . ### https://portal.mardi4nfdi.de/entity/Q6821578 rdf:type owl:NamedIndividual , ; rdfs:label "potential evaporation"@en ; "Q7234817"@en ; ; ; "amount of evaporation that would occur if a sufficient water source were available"@en . ### https://portal.mardi4nfdi.de/entity/Q6821579 rdf:type owl:NamedIndividual , ; rdfs:label "daily potential plant water use from the root zone"@en ; ; ; "cumulative potential plant water use to specific soil depth"@en . ### https://portal.mardi4nfdi.de/entity/Q6821580 rdf:type owl:NamedIndividual , ; rdfs:label "plant water use rate-soil depth parameter"@en ; ; ; "plant water use distribution parameter"@en . ### https://portal.mardi4nfdi.de/entity/Q6821581 rdf:type owl:NamedIndividual , ; rdfs:label "depth"@en ; "Q930412"@en ; ; ; "vertical distance below the reference surface"@en . ### https://portal.mardi4nfdi.de/entity/Q6821582 rdf:type owl:NamedIndividual , ; rdfs:label "potential plant water use rate in soil layer"@en ; ; ; "maximal plant water use rate in soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6821583 rdf:type owl:NamedIndividual , ; rdfs:label "soil water deficit compensation factor"@en ; ; ; "controls redistribution of plant water use between layers"@en . ### https://portal.mardi4nfdi.de/entity/Q6821584 rdf:type owl:NamedIndividual , ; rdfs:label "soil water content"@en ; ; ; ; "amount of water stored in a soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6821585 rdf:type owl:NamedIndividual , ; rdfs:label "soil water content of layer at wilting point"@en ; ; ; ; "water content of soil layer at wilting point"@en . ### https://portal.mardi4nfdi.de/entity/Q6821586 rdf:type owl:NamedIndividual , ; rdfs:label "field capacity water content of soil layer"@en ; ; ; ; "water content of soil layer after drainage"@en . ### https://portal.mardi4nfdi.de/entity/Q6821587 rdf:type owl:NamedIndividual , ; "EP"@en , "Eo"@en ; "EP,i≤Eo,i"@en ; rdfs:label "potential plant evaporation rate constraint"@en ; ; ; "potential evaporation as upper bound for potential plant evaporation rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Eo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821588 rdf:type owl:NamedIndividual , ; "RZ"@en , "Z"@en , "Λ"@en , "EP"@en , "UP"@en ; "UP,i=EP,i1−e−Λ(1−e−ΛZRZ)"@en ; rdfs:label "cumulative potential plant water use equation"@en ; "This equation computes the cumulative potential water use by plants from the soil surface to a specified depth. It distributes evaporative demand using an exponential depth function controlled by a soil-plant interaction parameter. The formulation reflects decreasing root activity with depth under typical conditions. It provides the basis for estimating water uptake by soil layers."@en ; ; ; "estimates cumulative potential plant water use from the root zone"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RZ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821589 rdf:type owl:NamedIndividual , ; "RZ"@en , "Z"@en , "u"@en , "Λ"@en , "EP"@en , "uP"@en ; "uP,l=EP,i1−e−Λ(1−e−ΛZlRZ)−∑K=1l−1uK"@en ; rdfs:label "potential crop water use rate in soil layer equation (total compensation)"@en ; "This equation distributes potential plant water use among soil layers within the root zone using an exponential depth function. A compensation mechanism is employed which allows plants to offset water deficits in dry layers by increasing uptake from wetter layers."@en ; ; ; "determines potential plant water use rate in specific soil layer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RZ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "uP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821590 rdf:type owl:NamedIndividual , ; "RZ"@en , "Z"@en , "Λ"@en , "EP"@en , "uP"@en ; "uP,l=EP,i1−e−Λ((1−e−ΛZlRZ)−(1−e−ΛZl−1RZ))"@en ; rdfs:label "potential crop water use rate in soil layer equation (no compensation)"@en ; "This equation distributes potential plant water use among soil layers within the root zone using an exponential depth function. No compensation mechanism is employed which would allows plants to offset water deficits in dry layers by increasing uptake from wetter layers."@en ; ; ; "determines potential plant water use rate in specific soil layer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RZ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "uP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821591 rdf:type owl:NamedIndividual , ; "UC"@en ; "UC=0"@en ; rdfs:label "poor rooting environment assumption"@en ; ; ; "assumption for soil condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UC"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821592 rdf:type owl:NamedIndividual , ; "UC"@en ; "UC=1"@en ; rdfs:label "good rooting environment assumption"@en ; ; ; "assumption for soil condition"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UC"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821593 rdf:type owl:NamedIndividual , ; "RZ"@en , "UC"@en , "Z"@en , "u"@en , "Λ"@en , "EP"@en , "uP"@en ; "uP,l=EP,i1−e−Λ(1−e−ΛZlRZ−(1−UC)(1−e−ΛZl−1RZ))−UC∑K=1l−1uK"@en ; rdfs:label "potential crop water use rate in soil layer equation (partial compensation)"@en ; "This equation distributes potential plant water use among soil layers within the root zone using an exponential depth function. No compensation mechanism is employed which would allows plants to offset water deficits in dry layers by increasing uptake from wetter layers."@en ; ; ; , ; "determines potential plant water use rate in specific soil layer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RZ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UC"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Λ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "uP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821594 rdf:type owl:NamedIndividual , ; "FC"@en , "SW"@en , "WP"@en , "u"@en , "uP"@en ; "ul={uP,le5(4(SWl,i−WPl)FCl−WPl−1)ifSWl,i<FCl−WPl4+WPluP,lifSWl,i≥FCl−WPl4+WPl"@en ; rdfs:label "actual plant water use rate in soil layer equation"@en ; "This equation determines the actual plant water use rate from the potential plant water use rate considering the soil moisture. When soil water content falls below a threshold fraction of plant-available water, the use rate declines exponentially. Above this threshold, potential uptake is fully realized. The formulation captures the non-linear response of root water absorption to soil moisture availability."@en ; ; ; "determines actual plant water use rate in specific soil layer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FC"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "SW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "uP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821596 rdf:type owl:NamedIndividual , ; rdfs:label "computation of actual plant water use rate in soil layer"@en ; ; ; , , , , , , ; "determine actual plant water use rate in soil lay"@en . ### https://portal.mardi4nfdi.de/entity/Q6821597 rdf:type owl:NamedIndividual , ; "LAI"@en , "EP"@en , "Eo"@en ; "EP,i=Eo,iLAIi3"@en ; rdfs:label "potential plant evaporation rate equation"@en ; "This equation estimates the potential plant evaporation rate as a fraction of the potential evaporation. The fraction depends on canopy development, represented by the leaf area index. The formulation constrains the potential plant evaporation rate so that it does not exceed the potential evaporation. It provides a simple representation of canopy resistance in the plant water use model."@en ; ; ; ; "estimates potential plant evaporation rate from canopy size and potential evaporation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LAI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "EP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Eo"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6821598 rdf:type owl:NamedIndividual , ; rdfs:label "computation of potential plant evaporation rate"@en ; ; ; , , , , , ; "determines potential plant evaporation rate from potential evaporation"@en . ### https://portal.mardi4nfdi.de/entity/Q6821599 rdf:type owl:NamedIndividual , ; rdfs:label "computation of potential plant water use rate in soil layer"@en ; ; ; , , , , , , , , , ; "determines potential plant water use rate in soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6821600 rdf:type owl:NamedIndividual , ; rdfs:label "computation of cumulative potential plant water use"@en ; ; ; , , , , , , ; "determines potential plant water uptake in root zone"@en . ### https://portal.mardi4nfdi.de/entity/Q6821601 rdf:type owl:NamedIndividual , ; rdfs:label "crop water usage model"@en ; "This model simulates the potential and actual water use of crops from the soil profile. It estimates plant evaporation as a function of potential evaporation and canopy development. Water uptake is distributed through the root zone according to an exponential depth function that can account for soil water deficit compensation. The model further reduces potential uptake when soil moisture becomes limiting. Together, these components provide a mechanistic representation of plant water use under varying soil and atmospheric conditions."@en ; ; , , , ; ; , , , , ; ; "simulates crop water uptake from soil profile"@en . ### https://portal.mardi4nfdi.de/entity/Q6821602 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of crop water use"@en ; "This research problem addresses how crops extract water from the soil to meet atmospheric demand. Plant water use depends on canopy development, soil moisture availability, and the ability of plants to compensate for local water deficits. The problem links soil hydrology with plant physiological demand."@en ; ; ; ; "quantify plant water uptake from soil"@en . ### https://portal.mardi4nfdi.de/entity/Q6821603 rdf:type owl:NamedIndividual , ; rdfs:label "agricultural hydrology"@en ; "Q2883300"@en ; "Agricultural hydrology examines the movement, availability, and use of water in agricultural landscapes. It integrates soil physics, plant physiology, and atmospheric processes to understand crop water demand and supply. Models of plant water uptake provide essential tools for evaluating irrigation needs, drought impacts, and water-use efficiency. The discipline supports sustainable water management in crop production systems."@en ; ; ; ; "study of water balance components intervening in agricultural water management, especially in irrigation and drainage"@en . ### https://portal.mardi4nfdi.de/entity/Q6822019 rdf:type owl:NamedIndividual , ; rdfs:label "plant nitrogen demand rate"@en ; ; ; "difference between crop nitrogen content and ideal content for a specific day"@en . ### https://portal.mardi4nfdi.de/entity/Q6822020 rdf:type owl:NamedIndividual , ; rdfs:label "optimal nitrogen concentration for a plant"@en ; ; ; "optimal nitrogen concentration based on heat-unit index"@en . ### https://portal.mardi4nfdi.de/entity/Q6822021 rdf:type owl:NamedIndividual , ; rdfs:label "accumulated plant biomass"@en ; ; ; "above-ground and roots biomass"@en . ### https://portal.mardi4nfdi.de/entity/Q6822022 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen uptake rate of plant"@en ; ; ; "rate indicating the uptake of nitrogen by a plant"@en . ### https://portal.mardi4nfdi.de/entity/Q6822023 rdf:type owl:NamedIndividual , ; rdfs:label "crop-specific nitrogen parameter"@en ; ; ; "parameter determining the optimal nitrogen concentration for a plant"@en . ### https://portal.mardi4nfdi.de/entity/Q6822024 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen supply rate in soil layer"@en ; ; ; "rate of nitrogen supply in specific soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6822025 rdf:type owl:NamedIndividual , ; rdfs:label "soil nitrate content"@en ; ; ; ; "weight of nitrate in soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6822026 rdf:type owl:NamedIndividual , ; rdfs:label "soil layer index"@en ; ; ; "integer number identifying a specific soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6822027 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen supply rate of soil"@en ; ; ; "rate of nitrogen supply in soil"@en . ### https://portal.mardi4nfdi.de/entity/Q6822028 rdf:type owl:NamedIndividual , ; rdfs:label "adjusted nitrogen supply rate in soil layer"@en ; ; ; "adjusted rate of nitrogen supply in specific soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6822029 rdf:type owl:NamedIndividual , ; rdfs:label "mass fraction"@en ; "Q899138"@en ; ; ; "MassFraction"@en ; , , ; "ratio of one substance's mass to the mass of the total mixture"@en . ### https://portal.mardi4nfdi.de/entity/Q6822030 rdf:type owl:NamedIndividual , ; rdfs:label "mass per area time"@en ; ; ; "MassPerAreaTime"@en ; , , , , , , , ; "amount of mass transferred per unit area and time"@en . ### https://portal.mardi4nfdi.de/entity/Q6822031 rdf:type owl:NamedIndividual , ; rdfs:label "mass per area"@en ; "Q1907514"@en ; "𝖫−2𝖬"@en ; ; ; "MassPerArea"@en ; , , , , , ; "amount of mass per unit area"@en . ### https://portal.mardi4nfdi.de/entity/Q6822032 rdf:type owl:NamedIndividual , ; "B"@en , "UN"@en , "UND"@en , "i"@en , "cNB"@en ; "UNDi=cNB,iBi−∑K=1i−1UNK"@en ; rdfs:label "crop nitrogen demand equation"@en ; "This equation estimates the daily nitrogen demand of the crop as the difference between the ideal nitrogen content of the current biomass and the cumulative nitrogen uptake up to the previous day. The ideal nitrogen content is calculated as the product of accumulated biomass and an optimal nitrogen concentration. The formulation represents nitrogen demand as a dynamic, history-dependent quantity that increases with growth and decreases as nitrogen is taken up. It provides the demand side of the nitrogen balance used in the uptake adjustment."@en ; ; ; "estimates daily crop nitrogen demand from biomass and uptake history"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UND"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cNB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822033 rdf:type owl:NamedIndividual , ; "HUI"@en , "bn1"@en , "bn2"@en , "bn3"@en , "i"@en , "cNB"@en ; "cNB,i=bn1+bn2e−bn3HUIi"@en ; rdfs:label "optimal plant nitrogen concentration equation"@en ; "This equation describes the decline of optimal plant nitrogen concentration with crop development stage. The concentration is modeled as a nonlinear function of the heat unit index using crop-specific parameters. It reflects the physiological tendency of plants to have high nitrogen concentrations during early growth and lower concentrations near maturity. The formulation provides a smooth, development-dependent target nitrogen concentration for demand estimation."@en ; ; ; "estimates ideal crop nitrogen concentration as function of development"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bn1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bn2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bn3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cNB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822034 rdf:type owl:NamedIndividual , ; "SW"@en , "UN"@en , "WNO3"@en , "i"@en , "l"@en , "u"@en ; "UNl,i=ul,iWNO3l,iSWl,i"@en ; rdfs:label "nitrogen supply by mass flow equation"@en ; "This equation estimates the nitrogen supply from each soil layer based on mass flow of nitrate to plant roots. Nitrogen supply is computed as the product of plant water uptake in the layer and nitrate concentration in soil water. The formulation assumes that nitrate transport to roots is proportional to water flux, reflecting mass flow as the dominant nitrogen transport mechanism. It provides a layer-resolved estimate of potential nitrogen supply from the soil."@en ; ; ; "distributes potential nitrogen supply across soil layers by water uptake"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "SW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WNO3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822035 rdf:type owl:NamedIndividual , ; "UN"@en , "UNS"@en , "i"@en , "l"@en ; "UNSi=∑l=1MUNl,i"@en ; rdfs:label "total soil nitrogen supply equation"@en ; "This equation computes the total nitrogen supply available to the crop by summing the layer-specific nitrogen supply rates. It represents the total nitrogen that could be taken up by mass flow on a given day. The result serves as an intermediate quantity used to compare soil nitrogen availability with crop nitrogen demand. It links soil-layer processes to whole-plant nitrogen uptake."@en ; ; ; "aggregates nitrogen supply from all soil layers"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UNS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822036 rdf:type owl:NamedIndividual , ; "UNa"@en , "WNO3"@en , "i"@en , "l"@en ; "UNal,i≤WNO3l,i"@en ; rdfs:label "adjusted nitrogen supply rate in soil layer constraint"@en ; "Adjusted nitrogen supply should not exceed soil nitrate content"@en ; ; ; "constraint for the adjusted nitrogen supply rate"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UNa"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WNO3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822037 rdf:type owl:NamedIndividual , ; "UN"@en , "UND"@en , "UNS"@en , "UNa"@en , "i"@en , "l"@en ; "UNal,i=UNl,iUNDiUNSi"@en ; rdfs:label "adjusted nitrogen uptake equation"@en ; "This equation scales the layer-specific nitrogen supply to ensure consistency with total crop nitrogen demand. When mass flow supply exceeds demand, uptake is reduced proportionally across layers; when supply is insufficient, the formulation allows increased uptake, representing diffusion-driven compensation. An upper constraint ensures that uptake from a layer cannot exceed the available nitrate in that layer. The equation produces the actual nitrogen uptake used by the crop model."@en ; ; ; "adjusts soil nitrogen supply to crop nitrogen demand"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UND"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UNS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UNa"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822038 rdf:type owl:NamedIndividual , ; rdfs:label "computation of crop nitrogen demand"@en ; "This task computes the daily nitrogen demand of the crop based on accumulated biomass and an optimal nitrogen concentration that depends on development stage. It accounts for nitrogen already taken up in previous days and produces a dynamic demand signal. The result represents the nitrogen requirement needed to sustain optimal growth."@en ; ; ; , , , , , , , ; "determine daily nitrogen demand of the crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6822039 rdf:type owl:NamedIndividual , ; rdfs:label "computation of soil nitrogen supply by mass flow"@en ; "This task estimates the nitrogen supplied to plant roots from each soil layer through mass flow driven by plant water uptake. It combines soil nitrate content, soil water content, and layer-specific plant water use. The task produces a spatially distributed estimate of nitrogen supply from the soil."@en ; ; ; , , , , , ; "estimating potential nitrogen supply from soil layers"@en . ### https://portal.mardi4nfdi.de/entity/Q6822040 rdf:type owl:NamedIndividual , ; rdfs:label "aggregation of soil nitrogen supply"@en ; "This task aggregates nitrogen supply across all soil layers to determine the total nitrogen available for uptake by the crop on a given day. The result is used to assess whether soil nitrogen supply is sufficient to meet crop nitrogen demand."@en ; ; ; , , , ; "compute total nitrogen supply from all soil layers"@en . ### https://portal.mardi4nfdi.de/entity/Q6822041 rdf:type owl:NamedIndividual , ; rdfs:label "adjustment of nitrogen uptake to crop demand"@en ; "This task adjusts the potential nitrogen supply from each soil layer to ensure consistency with crop nitrogen demand. It enforces upper bounds based on soil nitrate availability and allows compensation when mass flow alone is insufficient. The result represents the actual nitrogen uptake used in crop growth calculations."@en ; ; ; , , , , , , , , ; "scaling nitrogen uptake to match crop demand"@en . ### https://portal.mardi4nfdi.de/entity/Q6822042 rdf:type owl:NamedIndividual , ; rdfs:label "plant nitrogen uptake and demand model"@en ; "This model simulates crop nitrogen use using a supply–demand framework. Crop nitrogen demand is computed from accumulated biomass and an ideal nitrogen concentration that varies with crop development. Soil nitrogen supply is estimated from nitrate transport to roots by mass flow, distributed across soil layers according to plant water uptake. Actual nitrogen uptake is obtained by adjusting soil nitrogen supply to match crop demand while respecting soil nitrate availability. The model links crop growth, soil water use, and nitrogen dynamics in a mechanistic way."@en ; ; , , , ; ; , , , , , , ; ; "simulation of crop nitrogen demand and soil nitrogen uptake"@en . ### https://portal.mardi4nfdi.de/entity/Q6822043 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of crop nitrogen uptake under varying soil conditions"@en ; "This research problem concerns the estimation of crop nitrogen uptake as constrained by plant demand and soil nitrogen availability. It addresses how nitrogen demand evolves with crop growth and how soil processes supply nitrogen to roots through water-driven transport. The problem is central to understanding nutrient limitations on crop productivity and nitrogen cycling in agroecosystems."@en ; ; ; ; "quantify crop nitrogen demand and soil nitrogen supply"@en . ### https://portal.mardi4nfdi.de/entity/Q6822086 rdf:type owl:NamedIndividual , ; "g"@en , "t"@en , "κ"@en , "ϕ"@en , "ℓ"@en , "ϕ0"@en ; "ϕ(t)=ϕ0exp⁡(−κt)cos⁡(gℓt)"@en ; rdfs:label "mathematical pendulum solution (small angle, damped)"@en ; ; ; ; "expanation bla bla bla"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "κ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822087 rdf:type owl:NamedIndividual , ; "g"@en , "κ"@en , "ω"@en , "ℓ"@en ; "ω=gℓ−κ2"@en ; rdfs:label "mathematical pendulum frequency (small angle, damped)"@en ; ; ; "expanation bla bla bla"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "κ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822089 rdf:type owl:NamedIndividual , ; rdfs:label "determine frequency of a pendulum (small angle, damped)"@en ; "explanation bla bla"@en ; ; ; , , , , ; ; "calculate frequency from length and mass of pendulum and from damping coefficient, assuming small angle approximation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822090 rdf:type owl:NamedIndividual , ; "g"@en , "κ"@en , "ϕ"@en , "ℓ"@en ; "ϕ¨+2κϕ˙+gℓϕ=0"@en ; rdfs:label "mathematical pendulum equation (small angle, damped)"@en ; ; ; ; "expanation bla bla bla"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "κ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822091 rdf:type owl:NamedIndividual , ; rdfs:label "mathematical pendulum model (small angle, damped)"@en ; "this model describes damped oscillations of an idealized pendulum with friction"@en ; ; ; ; , , ; , , , ; ; ; "point mass swinging on a massless rod with friction, assuming small amplitudes"@en . ### https://portal.mardi4nfdi.de/entity/Q6822094 rdf:type owl:NamedIndividual , ; rdfs:label "daily nitrogen fixation"@en ; ; ; "amount of nitrogen fixed"@en . ### https://portal.mardi4nfdi.de/entity/Q6822095 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen fixation fraction"@en ; ; ; "fraction of nitrogen demand biologically fixed"@en . ### https://portal.mardi4nfdi.de/entity/Q6822096 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen fixation soil water factor"@en ; ; ; "soil moisture control of nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822097 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen fixation soil nitrate factor"@en ; ; ; "nitrate inhibition of nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822098 rdf:type owl:NamedIndividual , ; rdfs:label "nitrogen fixation growth stage factor"@en ; ; ; "phenological control of nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822099 rdf:type owl:NamedIndividual , ; rdfs:label "soil water content of upper soil layer"@en ; ; ; "amount of water stored in top 0.3 m soil"@en . ### https://portal.mardi4nfdi.de/entity/Q6822100 rdf:type owl:NamedIndividual , ; rdfs:label "soil water content of upper soil layer at wilting point"@en ; ; ; "amount of water stored at wilting point in top 0.3 m soil"@en . ### https://portal.mardi4nfdi.de/entity/Q6822101 rdf:type owl:NamedIndividual , ; rdfs:label "field capacity water content of upper soil layer"@en ; ; ; "water content after drainage of top 0.3 m soil"@en . ### https://portal.mardi4nfdi.de/entity/Q6822102 rdf:type owl:NamedIndividual , ; rdfs:label "soil nitrate content in root zone"@en ; ; ; "weight of nitrate in root zone"@en . ### https://portal.mardi4nfdi.de/entity/Q6822103 rdf:type owl:NamedIndividual , ; "WFX"@en , "i"@en ; "WFXi≤6.0kgha"@en ; rdfs:label "daily nitrogen fixation constraint"@en ; "Constrain daily nitrogen fixation to reasonable amount."@en ; ; ; "constraint inequality for the daily nitrogen fixation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WFX"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822104 rdf:type owl:NamedIndividual , ; "FXR"@en , "UND"@en , "WFX"@en , "i"@en ; "WFXi=FXRiUNDi"@en ; rdfs:label "daily nitrogen fixation equation"@en ; "This equation estimates the daily amount of biologically fixed nitrogen in legume crops as a fraction of plant nitrogen demand. The daily fixation is computed by multiplying the plant nitrogen demand rate by a daily fixation fraction. The equation represents the core nitrogen fixation calculation and links plant nitrogen status, environmental conditions, and phenological development to the actual daily nitrogen acquired from atmospheric sources."@en ; ; ; "daily nitrogen fixation from plant demand"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UND"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WFX"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822105 rdf:type owl:NamedIndividual , ; "FXG"@en , "FXN"@en , "FXR"@en , "FXW"@en , "i"@en ; "FXRi=min⁡(1.0,FXWi,FXNi)FXGi"@en ; rdfs:label "nitrogen fixation fraction equation"@en ; "This equation computes the fraction of plant nitrogen demand that can be met by biological nitrogen fixation. It combines multiple limiting factors representing plant phenology, soil water status, and soil nitrate availability. The fixation fraction is constrained by the most limiting environmental factor and modulated by plant growth stage, representing physiological and environmental controls on symbiotic nitrogen fixation."@en ; ; ; "combined environmental fixation limitation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXG"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXR"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822106 rdf:type owl:NamedIndividual , ; "FXG"@en , "HUI"@en , "i"@en ; "FXGi={0.0ifHUIi≤0.15,HUIi≥0.756.67HUIi−1.0if0.15<HUIi≤0.31.0if0.3<HUIi≤0.553.75−5.0HUIiif0.55<HUIi<0.75"@en ; rdfs:label "fixation growth stage equation"@en ; "These piecewise equations define the growth-stage-dependent factor controlling nitrogen fixation. The factor represents the development and senescence of symbiotic nodules, suppressing fixation in early and late growth stages and allowing full fixation during mid-season. The formulation uses the heat unit index as a phenological proxy."@en ; ; ; "phenological control of nitrogen fixation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXG"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822107 rdf:type owl:NamedIndividual , ; "FC3"@en , "FXW"@en , "SW3"@en , "WP3"@en ; "FXWi={SW3i−WP30.85(FC3−WP3)ifSW3i<0.85(FC3−WP3)+WP31.0ifSW3i≥0.85(FC3−WP3)+WP3"@en ; rdfs:label "fixation soil water equation"@en ; "This equation computes a soil water limitation factor for nitrogen fixation based on topsoil moisture relative to field capacity and wilting point. Fixation is reduced when soil moisture falls below a threshold fraction of available water capacity and is not limited when soil moisture exceeds this threshold. The formulation represents moisture stress effects on symbiotic activity."@en ; ; ; "soil moisture control of nitrogen fixation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FC3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "SW3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WP3"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822108 rdf:type owl:NamedIndividual , ; "FXN"@en , "RD"@en , "WNO3"@en , "i"@en ; "FXNi={0.0ifWNO3iRDi>300kgham1.5−0.005WNO3iRDiif100kgham<WNO3iRDi≤300kgham1.0ifWNO3iRDi≤100kgham"@en ; rdfs:label "fixation soil nitrate equation"@en ; "These equations describe inhibition of biological nitrogen fixation by mineral nitrate in the root zone. Fixation is fully allowed at low nitrate levels, partially reduced at intermediate nitrate concentrations, and completely suppressed when nitrate exceeds a threshold. The formulation reflects physiological feedback where external nitrate reduces symbiotic nitrogen fixation activity."@en ; ; ; "nitrate control of nitrogen fixation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "FXN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "WNO3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822109 rdf:type owl:NamedIndividual , ; rdfs:label "computation of fixation growth stage factor"@en ; "This task computes the growth stage limitation factor for biological nitrogen fixation in legume crops based on phenological development. The factor represents the availability and activity of functional root nodules and suppresses nitrogen fixation during early growth before nodulation and during late growth when nodules senesce. Phenological development is represented by the heat unit index, and the factor is defined using a piecewise linear function that activates fixation only during an intermediate portion of the growing season."@en ; ; ; , , , ; "phenological limitation of nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822110 rdf:type owl:NamedIndividual , ; rdfs:label "computation of fixation soil water factor"@en ; "This task computes a dimensionless soil water factor that limits biological nitrogen fixation in legume crops based on near-surface soil moisture conditions. The factor represents the reduction of nitrogen fixation when soil water content in the upper soil layer falls below a threshold fraction of field capacity. When soil moisture is adequate, nitrogen fixation proceeds without water limitation; under drier conditions, fixation is progressively reduced. The formulation captures the sensitivity of symbiotic nitrogen fixation to soil water stress and links soil hydrological status to plant nitrogen acquisition."@en ; ; ; , , , , ; "soil moisture limitation of nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822111 rdf:type owl:NamedIndividual , ; rdfs:label "computation of fixation soil nitrate factor"@en ; "This task computes a soil nitrate limitation factor that reduces or suppresses biological nitrogen fixation based on the amount of nitrate available in the root zone. Low nitrate availability allows full fixation, moderate nitrate levels progressively inhibit fixation, and high nitrate availability completely suppresses fixation. The formulation reflects plant regulation of symbiotic nitrogen fixation in response to readily available mineral nitrogen in the soil."@en ; ; ; , , , , ; "nitrate inhibition of nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822112 rdf:type owl:NamedIndividual , ; rdfs:label "computation of nitrogen fixation fraction"@en ; "This task computes the daily fraction of plant nitrogen demand that can be met through biological nitrogen fixation in legume crops. The fixation fraction integrates multiple limiting factors, including crop phenological development, soil water availability, and soil nitrate content in the root zone. Growth-stage control accounts for nodule development and senescence using heat-unit-based thresholds, while soil water and nitrate factors reduce or suppress fixation under unfavorable conditions. The final fixation fraction is determined by combining these factors using minimum and multiplicative operators, ensuring biologically realistic regulation of symbiotic nitrogen fixation."@en ; ; ; , , , , , , , ; "determine fraction of nitrogen demand fixed"@en . ### https://portal.mardi4nfdi.de/entity/Q6822113 rdf:type owl:NamedIndividual , ; rdfs:label "computation of daily nitrogen fixation"@en ; "This task computes the daily amount of biologically fixed nitrogen in legume crops as a fraction of plant nitrogen demand. The fixation rate is regulated by crop development stage, soil water availability, and soil nitrate content. The task represents symbiotic nitrogen fixation through root nodules and limits fixation when environmental or physiological conditions are unfavorable."@en ; ; ; , , , , , , ; "determine daily biologically fixed nitrogen"@en . ### https://portal.mardi4nfdi.de/entity/Q6822114 rdf:type owl:NamedIndividual , ; rdfs:label "plant nitrogen fixation model"@en ; "Deterministic model estimating daily biological nitrogen fixation as a function of plant nitrogen demand, phenological development, soil water availability, and soil nitrate concentration. Nitrogen fixation is constrained by growth stage, soil moisture in the upper soil profile, and nitrate availability in the root zone. The model operates at daily time steps and integrates physiological and soil constraints relevant to legume crops."@en ; ; , , , , ; ; , , , , , , ; ; "biological nitrogen fixation by legume crops"@en . ### https://portal.mardi4nfdi.de/entity/Q6822115 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of biological nitrogen fixation in legume crops"@en ; "This research problem concerns the quantitative estimation of biologically fixed atmospheric nitrogen in legume crops during the growing season. It addresses nitrogen fixation resulting from symbiotic interactions between legume roots and nitrogen-fixing microorganisms, and its dependence on plant nitrogen demand, phenological development, soil water availability, and soil nitrate content. The problem is central to modeling crop nitrogen dynamics, nutrient cycling, and fertilizer substitution effects in agroecosystems."@en ; ; ; ; "quantify biological nitrogen fixation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822164 rdf:type owl:NamedIndividual , ; rdfs:label "mathematical pendulum equation (small angle, damped, driven)"@en ; ; ; "Eq. (17) from paper [19]"@en ; "equation of motion for a pendulum with friction and periodic driving"@en . ### https://portal.mardi4nfdi.de/entity/Q6822166 rdf:type owl:NamedIndividual , ; rdfs:label "determine amplitude of a pendulum (small angle, damped, driven)"@en ; ; ; , , , , ; "amplitude of a pendulum with friction and periodic driving"@en . ### https://portal.mardi4nfdi.de/entity/Q6822168 rdf:type owl:NamedIndividual , ; rdfs:label "mathematical pendulum model (small angle, damped, driven)"@en ; ; , ; ; , ; ; ; "point mass swinging on a massless rod with friction and periodic driving, assuming small amplitudes"@en . ### https://portal.mardi4nfdi.de/entity/Q6822169 rdf:type owl:NamedIndividual , ; "A"@en , "t"@en , "Ω"@en , "ψ"@en , "ϕ"@en ; "ϕ(t)=A(Ω)cos⁡(Ωt−ψ(Ω))"@en ; rdfs:label "mathematical pendulum solution (small angle, damped, driven)"@en ; ; ; "analytical solution for a pendulum with friction and periodic driving"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822170 rdf:type owl:NamedIndividual , ; rdfs:label "driving frequency"@en ; ; ; "frequency of external periodic driving of an oscillatory system"@en . ### https://portal.mardi4nfdi.de/entity/Q6822171 rdf:type owl:NamedIndividual , ; "A"@en , "g"@en , "Ω"@en , "κ"@en , "ℓ"@en ; "A(Ω)≡D(Ω2−gℓ)2+4κ2Ω2"@en ; rdfs:label "mathematical pendulum amplitude (small angle, damped, driven)"@en ; ; ; "amplitude of a pendulum with friction and periodic driving"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "κ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822172 rdf:type owl:NamedIndividual , ; "g"@en , "Ω"@en , "κ"@en , "ψ"@en , "ℓ"@en ; "ψ(Ω)≡arctan⁡2κΩgℓ−Ω2"@en ; rdfs:label "mathematical pendulum phase shift (small angle, damped, driven)"@en ; ; ; "phase shift of a pendulum with friction and periodic driving"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "g"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "κ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℓ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822173 rdf:type owl:NamedIndividual , ; rdfs:label "resonance frequency"@en ; ; "Q1369335"@en ; ; ; ; "resonance frequency of an externally driven and damped oscillatory system"@en . ### https://portal.mardi4nfdi.de/entity/Q6822174 rdf:type owl:NamedIndividual , ; rdfs:label "determine resonance of a pendulum (small angle, damped, driven)"@en ; ; ; , , ; "resonance frquency of a pendulum with friction and periodic driving"@en . ### https://portal.mardi4nfdi.de/entity/Q6822179 rdf:type owl:NamedIndividual , ; rdfs:label "plate with a hole: weak formulation"@en ; ; ; , , ; ; "variational approach to solve strain-stress relation for the linear elastic model of a plate with a hole"@en . ### https://portal.mardi4nfdi.de/entity/Q6822189 rdf:type owl:NamedIndividual , ; rdfs:label "universal Kriging model"@en ; ; ; ; "Kriging model with deterministic trend and stationary stochastic residuals"@en . ### https://portal.mardi4nfdi.de/entity/Q6822190 rdf:type owl:NamedIndividual , ; "Z"@en , "{fk}k=1,…,K"@en , "𝒳"@en , "βk"@en ; "𝔼[Z(x)]=∑k=1Kβkfk(x)∀x∈𝒳,fk known deterministic functions,βk∈ℝ unknown"@en ; rdfs:label "unknown deterministic mean function assumption"@en ; ; ; "assumption that a stochastic process has an unknown but deterministic mean function"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "{fk}k=1,…,K"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒳"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βk"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822191 rdf:type owl:NamedIndividual , ; "𝒳"@en , "ak"@en , "βk"@en ; "{fk}k=1,…,Kwithm(x)=∑k=1Kβkfk(x),∀x∈𝒳,and∑k=1Kakfk(xi)=0∀xi support points⇒ak=0"@en ; rdfs:label "deterministic mean basis functions"@en ; ; ; "Finite set of known deterministic functions that are linearly independent on the observation locations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝒳"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ak"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "βk"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6822192 rdf:type owl:NamedIndividual , ; rdfs:label "adsorbate partial pressure (equilibrium)"@en ; ; ; "partial pressure of adsorbate remaining in the gas phase at adsorption equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6822193 rdf:type owl:NamedIndividual , ; rdfs:label "adsorption rate constant"@en ; ; ; "rate constant for adsorption process"@en . ### https://portal.mardi4nfdi.de/entity/Q6822194 rdf:type owl:NamedIndividual , ; rdfs:label "desorption rate constant"@en ; ; ; "rate constant for desorption process"@en . ### https://portal.mardi4nfdi.de/entity/Q6822195 rdf:type owl:NamedIndividual , ; rdfs:label "adsorbed gas volume (equlibrium)"@en ; ; ; "volume of adsorbate gas adsorbed per unit mass of adsorbent at equilibrium"@en . ### https://portal.mardi4nfdi.de/entity/Q6822196 rdf:type owl:NamedIndividual , ; rdfs:label "maximum monolayer adsorption volume"@en ; ; ; "maximum volume of adsorbate gas that can form a monolayer on the adsorbent surface"@en . ### https://portal.mardi4nfdi.de/entity/Q6822199 rdf:type owl:NamedIndividual , ; rdfs:label "gas separation (adsorption)"@en ; "Gas separation using adsorption is a process in which specific gas components are selectively adsorbed onto solid surfaces. The equilibrium between the adsorbed phase and the gas phase can often be described by the Langmuir adsorption isotherm. Research includes studying adsorbent materials, optimizing operating conditions, and evaluating separation efficiency and selectivity. This process is applied in industrial contexts such as carbon dioxide capture, air purification, and hydrogen recovery. Understanding adsorption thermodynamics and kinetics is essential for designing efficient gas separation systems."@en ; ; ; ; "selective adsorption of gas components onto solid surfaces for separation"@en . ### https://portal.mardi4nfdi.de/entity/Q6822200 rdf:type owl:NamedIndividual , ; rdfs:label "partial pressure"@en ; "Q27165"@en ; "𝖫−1𝖬𝖳−2"@en ; ; ; "PartialPressure"@en ; ; "hypothetical pressure of gas if it alone occupied the volume of the mixture at the same temperature"@en . ### https://portal.mardi4nfdi.de/entity/Q6822203 rdf:type owl:NamedIndividual , ; rdfs:label "gas separation"@en ; "Q17050218"@en ; "Gas separation is the process of selectively isolating one or more components from a gas mixture. It encompasses a variety of techniques, including adsorption, membranes, cryogenic distillation, and pressure or temperature swing methods. Research in this area focuses on developing efficient, selective, and scalable separation processes for industrial and environmental applications. Typical goals include purifying products, recovering valuable gases, or removing pollutants from gas streams. Advances in materials, process design, and modeling are key to improving the efficiency and sustainability of gas separation technologies."@en ; ; ; ; "technique to provide multiple products or purify a product"@en . ### https://portal.mardi4nfdi.de/entity/Q6822204 rdf:type owl:NamedIndividual , ; rdfs:label "chemical engineering"@en ; "Q83588"@en ; ; ; , ; "branch of science that applies physical sciences and life sciences together with applied mathematics and economics to produce, transform, transport, and properly use chemicals, materials and energy"@en . ### https://portal.mardi4nfdi.de/entity/Q6822205 rdf:type owl:NamedIndividual , ; rdfs:label "plasma modeling"@en ; ; "Q7201780"@en ; ; ; ; ; "solving equations of motion that describe the state of a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6822206 rdf:type owl:NamedIndividual , ; rdfs:label "fluid Poisson model: weak formulation"@en ; ; ; ; , , , ; ; "weak formulation of fluid Poisson model, including all relevant plasma species"@en . ### https://portal.mardi4nfdi.de/entity/Q6823138 rdf:type owl:NamedIndividual , ; rdfs:label "minimum frequency of line"@en ; ; ; "minimum frequency of line in public transport planning"@en . ### https://portal.mardi4nfdi.de/entity/Q6823139 rdf:type owl:NamedIndividual , ; rdfs:label "public transport line"@en ; ; ; "a single path through the PTN"@en . ### https://portal.mardi4nfdi.de/entity/Q6823140 rdf:type owl:NamedIndividual , ; rdfs:label "line costs"@en ; ; ; "costs for operating a vehicle on a line in a PTN"@en . ### https://portal.mardi4nfdi.de/entity/Q6823141 rdf:type owl:NamedIndividual , ; rdfs:label "maximum frequency of line"@en ; ; ; "maximum frequency of line in public transport planning"@en . ### https://portal.mardi4nfdi.de/entity/Q6823142 rdf:type owl:NamedIndividual , ; rdfs:label "line pool"@en ; ; ; "subset of the set of all paths in a PTN"@en . ### https://portal.mardi4nfdi.de/entity/Q6823144 rdf:type owl:NamedIndividual , ; rdfs:label "frequency of line"@en ; ; ; , ; "frequency of a line in public transport in a fixed time slot"@en . ### https://portal.mardi4nfdi.de/entity/Q6823145 rdf:type owl:NamedIndividual , ; rdfs:label "solve cost minimizing line planning problem"@en ; ; ; , , , ; "solve line planning problem by minimizing operational costs"@en . ### https://portal.mardi4nfdi.de/entity/Q6823147 rdf:type owl:NamedIndividual , ; "E"@en , "costl"@en , "e"@en , "l"@en , "ℒ"@en , "fl"@en , "femax"@en , "femin"@en ; "min∑l∈ℒcostl⋅fls.t.femin≤∑l∈ℒ:e∈lfl≤femax∀e inEfl∈ℤ∀l∈ℒ"@en ; rdfs:label "integer problem line planning costs"@en ; ; ; "compute line concept by minimizing costs"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℒ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "fl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "femax"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "femin"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6823148 rdf:type owl:NamedIndividual , ; "costl"@en , "l"@en , "ℒ"@en , "fl"@en ; "∑l∈ℒcostl⋅fl"@en ; rdfs:label "operational costs of a line concept"@en ; ; ; "sum of line costs in a line concept"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "costl"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℒ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "fl"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6823149 rdf:type owl:NamedIndividual , ; rdfs:label "cost model for line concept"@en ; "operational costs are defined as sum of line based costs times line frequency"@en ; ; ; ; ; "model to compute operational costs of a line concept"@en . ### https://portal.mardi4nfdi.de/entity/Q6823150 rdf:type owl:NamedIndividual , ; "N"@en , "v"@en , "Ω"@en , "ρ"@en , "ϕ"@en , "ϵr"@en , "ϵ0"@en ; "∫𝛺(ε0εr∇ϕ⋅∇v−ρv)d𝛺−∫∂𝛺ε0εrN⋅∇ϕvds=0"@en ; rdfs:label "Poisson's equation for the electric potential: weak formulation"@en ; ; ; "weak formulation of Poisson's equation for the electric potential"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϕ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵr"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ϵ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6823151 rdf:type owl:NamedIndividual , ; "N"@en , "S"@en , "j"@en , "n"@en , "t"@en , "v"@en , "Ω"@en ; "∫𝛺(∂n∂tv−𝐣⋅∇v−Sv)d𝛺+∫∂𝛺𝑵⋅𝐣vds=0"@en ; rdfs:label "continuity equation: weak formulation"@en ; ; ; "weak formulation of the continuity equation"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6823152 rdf:type owl:NamedIndividual , ; "E"@en , "N"@en , "Q"@en , "e"@en , "j"@en , "t"@en , "v"@en , "w"@en , "Ω"@en , "S~"@en ; "∫𝛺(∂w∂tv−Q⋅∇v+eE⋅𝐣v−S~v)d𝛺+∫∂𝛺𝑵⋅Qvds=0"@en ; rdfs:label "continuity equation for electron energy: weak formulation"@en ; ; ; "weak formulation of the continuity equation for electron energy"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "E"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "j"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "v"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "w"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ω"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S~"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6824221 rdf:type owl:NamedIndividual , ; rdfs:label "fluid Poisson model: determine particle densities"@en ; ; ; , , , , , , , , , ; "determine the particle densities for the various species in a plasma"@en . ### https://portal.mardi4nfdi.de/entity/Q6824222 rdf:type owl:NamedIndividual , ; rdfs:label "accumulated root weight in soil layer"@en ; "This quantity represents the accumulated root weight allocated to a specific soil layer up to a specific day. It is a portion of the accumulated total root weight."@en ; ; ; "weight of roots in soil layer"@en . ### https://portal.mardi4nfdi.de/entity/Q6824223 rdf:type owl:NamedIndividual , ; "RW"@en , "i"@en , "l"@en , "ΔRW"@en ; "RWi,l=RWi−1,l+ΔRWi,l"@en ; rdfs:label "root weight in soil layer accumulation equation"@en ; "This equation updates the accumulated root weight in soil layer by adding the daily root weight in soil layer increment to its previous value. It represents the temporal integration of daily root weight production in soil layer over the growing season. The formulation assumes that root weight accumulation is additive and does not impose additional physiological constraints beyond those governing daily production. The equation is applied at each simulation time step to maintain the root weight state variable. It provides the accumulated root weight in soil layer used in subsequent processes, e.g. plant phosphorus uptake."@en ; ; ; "accumulates daily root weight in soil layer"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΔRW"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6824224 rdf:type owl:NamedIndividual , ; rdfs:label "plant phosphorus demand rate"@en ; ; ; "difference between crop phosphorus content and ideal content for a specific day"@en . ### https://portal.mardi4nfdi.de/entity/Q6824225 rdf:type owl:NamedIndividual , ; rdfs:label "optimal phosphorus concentration for a plant"@en ; ; ; "optimal phosphorus concentration based on heat-unit index"@en . ### https://portal.mardi4nfdi.de/entity/Q6824226 rdf:type owl:NamedIndividual , ; rdfs:label "phosphorus uptake rate of plant"@en ; ; ; "rate indicating the uptake of phosphorus by a plant"@en . ### https://portal.mardi4nfdi.de/entity/Q6824227 rdf:type owl:NamedIndividual , ; rdfs:label "crop-specific phosphorus parameter"@en ; ; ; "parameter determining the optimal phosphorus concentration for a plant"@en . ### https://portal.mardi4nfdi.de/entity/Q6824228 rdf:type owl:NamedIndividual , ; rdfs:label "phosphorus supply rate of soil"@en ; ; ; "rate of phosphorus supply in soil"@en . ### https://portal.mardi4nfdi.de/entity/Q6824229 rdf:type owl:NamedIndividual , ; rdfs:label "labile phosphorus factor for crop uptake"@en ; ; ; "factor for phosphorus uptake"@en . ### https://portal.mardi4nfdi.de/entity/Q6824230 rdf:type owl:NamedIndividual , ; rdfs:label "labile phosphorus concentration in soil layer"@en ; ; ; "concentration of labile phosphorus"@en . ### https://portal.mardi4nfdi.de/entity/Q6824231 rdf:type owl:NamedIndividual , ; "B"@en , "UP"@en , "UPD"@en , "i"@en , "cPB"@en ; "UPDi=cPB,iBi−∑K=1i−1UPK"@en ; rdfs:label "crop phosphorus demand equation"@en ; "Computes daily plant phosphorus demand as the difference between the ideal phosphorus content implied by biomass and optimal phosphorus concentration and the cumulative phosphorus uptake to date."@en ; ; ; "estimates daily crop phosphorus demand from biomass and uptake history"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UP"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UPD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cPB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6824232 rdf:type owl:NamedIndividual , ; "HUI"@en , "bp1"@en , "bp2"@en , "bp3"@en , "cPB"@en ; "cPB,i=bp1+bp2e−bp3HUIi"@en ; rdfs:label "optimal plant phosphorus concentration equation"@en ; "Defines the optimal phosphorus concentration of plant biomass as a decreasing exponential function of crop phenological development represented by the heat unit index."@en ; ; ; "estimates ideal crop phosphorus concentration as function of development"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "HUI"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bp1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bp2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "bp3"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cPB"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6824233 rdf:type owl:NamedIndividual , ; "LFu"@en , "RW"@en , "RWT"@en , "UPD"@en , "UPS"@en , "i"@en , "l"@en ; "UPSi=1.5UPDi∑l=1MLFu,i,lRWi,lRWTi"@en ; rdfs:label "soil phosphorus supply equation"@en ; "Estimates soil phosphorus supply as a multiple of plant phosphorus demand, distributed among soil layers according to root biomass fractions and scaled by a labile phosphorus availability factor."@en ; ; ; "root-weighted soil phosphorus supply"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LFu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RW"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "RWT"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UPD"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "UPS"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6824234 rdf:type owl:NamedIndividual , ; "LFu"@en , "i"@en , "l"@en , "cLP"@en ; "LFu,i,l=0.1+0.9cLP,i,lcLP,i,l+117e−0.283cLP,i,l"@en ; rdfs:label "labile phosphorus uptake factor equation"@en ; "Computes a dimensionless uptake factor based on labile soil phosphorus concentration, allowing near-optimal uptake at sufficiently high labile phosphorus levels."@en ; ; ; "soil phosphorus availability response"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "LFu"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "l"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "cLP"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6824235 rdf:type owl:NamedIndividual , ; rdfs:label "computation of crop phosphorus demand"@en ; "This task estimates the daily phosphorus demand of a crop based on accumulated plant biomass and an optimal phosphorus concentration that declines with phenological development. The optimal concentration is computed as a nonlinear function of heat unit index, and cumulative phosphorus uptake is subtracted to determine unmet demand."@en ; ; ; , , , , , , , ; "determine daily phosphorus demand of the crop"@en . ### https://portal.mardi4nfdi.de/entity/Q6824236 rdf:type owl:NamedIndividual , ; rdfs:label "computation of soil phosphorus supply"@en ; "This task estimates the phosphorus supply available to the crop from the soil based on plant phosphorus demand, root biomass distribution across soil layers, and labile phosphorus availability. A nonlinear labile phosphorus uptake factor modulates root-weighted supply, allowing enhanced uptake under phosphorus-deficient conditions."@en ; ; ; , , , , , , , , , ; "root-weighted phosphorus supply estimation"@en . ### https://portal.mardi4nfdi.de/entity/Q6824237 rdf:type owl:NamedIndividual , ; rdfs:label "plant phosphorus uptake and demand model"@en ; "A deterministic agroecosystem model that estimates daily plant phosphorus demand based on biomass accumulation and optimal phosphorus concentration, and compares it with soil phosphorus supply determined by root distribution and labile soil phosphorus availability."@en ; ; , ; ; , , , , , , ; ; "supply-demand model of plant phosphorus uptake"@en . ### https://portal.mardi4nfdi.de/entity/Q6824238 rdf:type owl:NamedIndividual , ; rdfs:label "estimation of phosphorus uptake and demand in crops"@en ; ; ; ; "quantifying crop phosphorus demand and soil supply"@en . ### https://portal.mardi4nfdi.de/entity/Q6825203 rdf:type owl:NamedIndividual , ; "N"@en , "R"@en , "k"@en , "n"@en , "β"@en ; "Rj=kj∏p=1Nsnpβpj"@en ; rdfs:label "rate equation"@en ; ; "Q904041"@en ; ; ; "equation that links reaction rate with concentrations of reactants in a chemical reaction"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "β"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6825204 rdf:type owl:NamedIndividual , ; rdfs:label "reaction kinetics model"@en ; ; ; , ; "model for chemical reaction kinetics"@en . ### https://portal.mardi4nfdi.de/entity/Q6825205 rdf:type owl:NamedIndividual , ; rdfs:label "reaction kinetics problem"@en ; ; ; ; "chemical reaction kinetics using rate equations"@en . ### https://portal.mardi4nfdi.de/entity/Q6825206 rdf:type owl:NamedIndividual , ; "G"@en , "L"@en , "N"@en , "R"@en , "S"@en ; "Sp=∑j=1Nr(Gpj−Lpj)Rj"@en ; rdfs:label "particle source and sink equation"@en ; ; ; "sources and sinks of particle number densities in chemical reaction dynamics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "G"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "N"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "S"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6825207 rdf:type owl:NamedIndividual , ; rdfs:label "reaction order"@en ; ; ; "partial order of a reactant or product of a chemical reaction"@en . ### https://portal.mardi4nfdi.de/entity/Q6825208 rdf:type owl:NamedIndividual , ; rdfs:label "number of chemical reactions"@en ; ; ; "number of reactions in a chemical reaction scheme"@en . ### https://portal.mardi4nfdi.de/entity/Q6825209 rdf:type owl:NamedIndividual , ; rdfs:label "number of chemical species"@en ; ; ; "number of speciesin a chemical reaction scheme"@en . ### https://portal.mardi4nfdi.de/entity/Q6825210 rdf:type owl:NamedIndividual , ; rdfs:label "stoichiometry matrix"@en ; ; ; "matrix of stoichiometric coefficients, in chemical reaction kinetics"@en . ### https://portal.mardi4nfdi.de/entity/Q6829683 rdf:type owl:NamedIndividual , ; rdfs:label "Boltzmann transport model"@en ; ; ; , , ; "describing particle transport with collisions"@en . ### https://portal.mardi4nfdi.de/entity/Q6830539 rdf:type owl:NamedIndividual , ; "L"@en , "s"@en ; "s≪L"@en ; rdfs:label "continuum approximation"@en ; , ; "collision frequency is large enough to describe particles in a medium as a fluid"@en ; ; ; "continuum mechanics, e.g., hydrodynamics as an approximation to particle mechanics"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "L"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "s"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830556 rdf:type owl:NamedIndividual , ; rdfs:label "energy"@en ; ; ; "foo"@en . ### https://portal.mardi4nfdi.de/entity/Q6830559 rdf:type owl:NamedIndividual , ; rdfs:label "unit operator"@en ; ; ; "gives the physical unit of a physical quantity"@en . ### https://portal.mardi4nfdi.de/entity/Q6830560 rdf:type owl:NamedIndividual , ; rdfs:label "local approximation"@en ; "the electron distribution function is defined by the local electric field or local mean electron energy, i.e. non-local effects can be neglected"@en ; ; . ### https://portal.mardi4nfdi.de/entity/Q6830604 rdf:type owl:NamedIndividual , ; rdfs:label "normal force"@en ; ; ; ; , ; "force exerted on an object by a body with which it is in contact, and vice versa"@en . ### https://portal.mardi4nfdi.de/entity/Q6830614 rdf:type owl:NamedIndividual , ; rdfs:label "Taylor–Couette flow"@en ; ; "Q3151656"@en ; "The stationary flow of an incompressible fluid confined in between two rotating cylinders of different radii and angular velocities is a well-known benchmark problem in numerical fluid dynamics. For low relative angular velocities and for a small gap (relative to the diameters of the cylinders), i.e., for a Reynolds number, the flow is steady and purely azimuthal, for which case an analytical solution exists."@en ; ; ; ; ; , ; ; ; , ; "viscous fluid confined in the gap between two rotating cylinders of different radii and angular velocities"@en . ### https://portal.mardi4nfdi.de/entity/Q6830615 rdf:type owl:NamedIndividual , ; "p"@en , "u"@en , "ν"@en , "ρ"@en ; "u→⋅∇u→−ν∇2u→=−1ρ∇p∇⋅u→=0"@en ; rdfs:label "stationary Navier-Stokes equations"@en ; ; ; ; , , ; , ; "stationary limit of the Navier-Stokes equations"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ν"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ρ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830616 rdf:type owl:NamedIndividual , ; rdfs:label "Taylor–Couette model"@en ; "For low relative angular velocities and for small gap (relative to the diameters of the cylinders), i.e., for a small Reynolds number, the flow is steady and purely azimuthal."@en ; ; ; ; , , , , , ; :File:Rotating-cylinders-boundary-conditions.png ; ; , ; ; , ; "modelling the dynamics of a viscous fluid in the gap between two rotating cylinders in terms of a stationary Navier Stokes"@en . ### https://portal.mardi4nfdi.de/entity/Q6830617 rdf:type owl:NamedIndividual , ; "R"@en , "R1"@en , "R2"@en ; "R1≤R≤R2"@en ; rdfs:label "rotating cylinders domain"@en ; ; ; "computational domain in between the (rotating) cylinders"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830618 rdf:type owl:NamedIndividual , ; "u"@en , "Θ"@en , "R1"@en , "ω1"@en ; "u(R1,Θ)=(0,ω1)T"@en ; rdfs:label "rotating cylinders inner wall"@en ; "This condition states that the fluid does not penetrate the cylinder wall and that the fluid does not slip along the wall."@en ; ; ; ; "boundary condition: fluid in contact with the inner cylinder wall"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830619 rdf:type owl:NamedIndividual , ; "u"@en , "Θ"@en , "R2"@en , "ω2"@en ; "u(R2,Θ)=(0,ω2)T"@en ; rdfs:label "rotating cylinders outer wall"@en ; "This condition states that the fluid does not penetrate the cylinder wall and that the fluid does not slip along the wall."@en ; ; ; ; "boundary condition: fluid in contact with the outer cylinder"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Θ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R2"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830620 rdf:type owl:NamedIndividual , ; rdfs:label "inner cylinder radius"@en ; ; ; "radius of the inner rotating cylinder"@en . ### https://portal.mardi4nfdi.de/entity/Q6830621 rdf:type owl:NamedIndividual , ; rdfs:label "outer cylinder radius"@en ; ; ; "radius of the outer rotating cylinder"@en . ### https://portal.mardi4nfdi.de/entity/Q6830622 rdf:type owl:NamedIndividual , ; rdfs:label "inner cylinder angular velocity"@en ; ; ; "angular velocity of the inner rotating cylinder"@en . ### https://portal.mardi4nfdi.de/entity/Q6830624 rdf:type owl:NamedIndividual , ; rdfs:label "outer cylinder angular velocity"@en ; ; ; "angular velocity of the outer rotating cylinder"@en . ### https://portal.mardi4nfdi.de/entity/Q6830625 rdf:type owl:NamedIndividual , ; rdfs:label "angular velocity"@en ; ; "Q161635"@en ; "T−1"@en ; ; ; "AngularVelocity"@en ; , ; "rate of change of angular position whose direction is the axis of rotation"@en . ### https://portal.mardi4nfdi.de/entity/Q6830684 rdf:type owl:NamedIndividual , ; rdfs:label "stationary flow assumption"@en ; ; ; ; "In a stationary flow, the velocity and the pressure do not change in time"@en . ### https://portal.mardi4nfdi.de/entity/Q6830685 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "R"@en , "u"@en , "Θ"@en ; "uΘ(R)=AR+BR"@en ; rdfs:label "rotating cylinders velocity field"@en ; ; ; ; "analytical solution for the rotating cylinders problem"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "u"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Θ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830686 rdf:type owl:NamedIndividual , ; "A"@en , "B"@en , "C"@en , "R"@en , "p"@en ; "p(R)=A2R22+2ABlog⁡(R)+B22R2+C"@en ; rdfs:label "rotating cylinders pressure field"@en ; ; ; ; "analytical solution for the rotating cylinders problem"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "p"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830688 rdf:type owl:NamedIndividual , ; "A"@en , "η"@en , "μ"@en , "ω1"@en ; "A≡ω1μ−η21−η2"@en ; rdfs:label "rotating cylinders constant A"@en ; ; ; "constant used within the analytical solutions for the Taylor-Couette model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "A"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "η"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830689 rdf:type owl:NamedIndividual , ; "B"@en , "η"@en , "μ"@en , "R1"@en , "ω1"@en ; "B≡ω1R121−μ1−η2"@en ; rdfs:label "rotating cylinders constant B"@en ; ; ; "constant used within the analytical solutions for the Taylor-Couette model"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "B"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "η"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω1"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830690 rdf:type owl:NamedIndividual , ; rdfs:label "rotating cylinders constant C"@en ; "Note that for the Taylor-Couette problem/model the pressure field is determined only up to an additional constant C."@en ; ; ; "constant used within the analytical solutions for the Taylor-Couette model"@en . ### https://portal.mardi4nfdi.de/entity/Q6830767 rdf:type owl:NamedIndividual , ; rdfs:label "rotating cylinders task: velocity and pressure"@en ; ; ; , , , , , , ; , ; "get the velocity and pressure fields for the rotating cylinders problem"@en . ### https://portal.mardi4nfdi.de/entity/Q6830795 rdf:type owl:NamedIndividual , ; "μ"@en , "ω1"@en , "ω2"@en ; "μ≡ω2ω1"@en ; rdfs:label "relative cylinder angular velocity"@en ; ; ; "relative angular velocity of the two rotating cylinders"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ω2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6830796 rdf:type owl:NamedIndividual , ; "η"@en , "R1"@en , "R2"@en ; "η≡R1R2"@en ; rdfs:label "relative cylinder radius"@en ; ; ; "ratio of the radii of the two rotating cylinders"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "η"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R1"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "R2"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q6842071 rdf:type owl:NamedIndividual , ; rdfs:label "global stochastic process"@en ; ; ; "globally defined stochastic process"@en . ### https://portal.mardi4nfdi.de/entity/Q6842072 rdf:type owl:NamedIndividual , ; rdfs:label "local stochastic process"@en ; ; ; "locally defined stochastic process"@en . ### https://portal.mardi4nfdi.de/entity/Q68779 rdf:type owl:NamedIndividual , ; rdfs:label "biotechnology"@en ; "Q7108"@en ; "Biotechnology is the use of living organisms or their systems to develop products and technologies that improve human life. It combines biology, chemistry, and technology to solve problems in medicine, agriculture, and industry. Scientists use biotechnology to create genetically modified crops, produce vaccines, and develop biofuels. It has the potential to enhance health, increase food production, and protect the environment."@en ; ; ; ; ; "use of living systems and organisms to develop or make useful products"@en . ### https://portal.mardi4nfdi.de/entity/Q6945229 rdf:type owl:NamedIndividual , ; rdfs:label "number of compartments"@en ; ; ; "signal"@en . ### https://portal.mardi4nfdi.de/entity/Q6945230 rdf:type owl:NamedIndividual , ; rdfs:label "number of compartments"@en ; ; ; "morphogen"@en . ### https://portal.mardi4nfdi.de/entity/Q6945231 rdf:type owl:NamedIndividual , ; rdfs:label "number of molecules of signal"@en ; ; ; "number of molecules of species A"@en . ### https://portal.mardi4nfdi.de/entity/Q6945232 rdf:type owl:NamedIndividual , ; rdfs:label "number of molecules of morphogen"@en ; ; ; "number of molecules of species B"@en . ### https://portal.mardi4nfdi.de/entity/Q71225 rdf:type owl:NamedIndividual , ; rdfs:label "astronomy"@en ; ; "Q333"@en ; ; ; ; ; "Q246133"@en ; ; "scientific study of celestial objects and phenomena"@en . ### https://portal.mardi4nfdi.de/entity/Q7253780 rdf:type owl:NamedIndividual , ; "H"@en , "n"@en , "En"@en , "ψn"@en ; "Ĥ|ψn⟩=En|ψn⟩"@en ; rdfs:label "time-independent Schrödinger equation for electric charges"@en ; ; ; ; ; "eigenvalue equation for the quantum-mechanical Hamiltonian operator for electric charges in an electric field"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "n"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "En"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψn"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7253901 rdf:type owl:NamedIndividual , ; "ℏ"@en , "H"@en , "t"@en , "ψ(t)"@en , "i"@en ; "iℏ∂∂t|ψ(t)⟩=Ĥ|ψ(t)⟩"@en ; rdfs:label "time-dependent Schrödinger equation for electric charges"@en ; ; ; ; ; "partial differential equation describing how the quantum state of electric charges in an electric field changes with time"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ℏ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "H"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "t"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ(t)"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "i"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7255967 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of position"@en ; ; ; ; "initial value of position of a point particle"@en . ### https://portal.mardi4nfdi.de/entity/Q7255968 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of velocity"@en ; ; ; ; "initial value of velocity of a point particle"@en . ### https://portal.mardi4nfdi.de/entity/Q7255969 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of momentum"@en ; ; ; "initial value of momentum of a point particle"@en . ### https://portal.mardi4nfdi.de/entity/Q7256786 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of classical density"@en ; ; ; "initial phase-space density distribution of a classical mechanical system"@en . ### https://portal.mardi4nfdi.de/entity/Q7256976 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of quantum density"@en ; ; ; "initial density matrix of a quantum-mechanical system"@en . ### https://portal.mardi4nfdi.de/entity/Q7257178 rdf:type owl:NamedIndividual , ; rdfs:label "initial value of quantum state"@en ; ; ; "initial state vector of a quantum-mechanical system"@en . ### https://portal.mardi4nfdi.de/entity/Q7257548 rdf:type owl:NamedIndividual , ; rdfs:label "mean-field Ehrenfest with pickaback"@en ; ; ; ; "mean-field Ehrenfest model with pickaback discretization"@en . ### https://portal.mardi4nfdi.de/entity/Q7260370 rdf:type owl:NamedIndividual , ; "e"@en , "z"@en , "μ"@en , "π"@en , "σ"@en , "φ"@en ; "φ(z)=1σ2πe−(z−μ)2/(2σ2)"@en ; rdfs:label "normal distribution equation"@en ; ; ; "defining equation of a normal distribution"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "e"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "z"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "μ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "π"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "σ"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "φ"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7270342 rdf:type owl:NamedIndividual , ; rdfs:label "governing equation"@en ; ; "Q3730895"@en ; "The governing equations of a mathematical model describe how the values of the unknown variables (i.e. the dependent variables) change when one or more of the known (i.e. independent) variables change."@en ; ; ; "equations describing behavior of a model"@en . ### https://portal.mardi4nfdi.de/entity/Q7284004 rdf:type owl:NamedIndividual , ; rdfs:label "artificial boundary interface"@en ; ; ; "artificial boundary interface for semiconductor device simulation"@en . ### https://portal.mardi4nfdi.de/entity/Q7284038 rdf:type owl:NamedIndividual , ; rdfs:label "built-in potential"@en ; ; ; "semiconductor equilibrium potential that balances carrier diffusion by drift, yielding zero net current"@en . ### https://portal.mardi4nfdi.de/entity/Q7284039 rdf:type owl:NamedIndividual , ; rdfs:label "local charge-neutrality potential"@en ; ; ; "electrostatic potential in a semiconductor satisfying local charge neutrality conditions"@en . ### https://portal.mardi4nfdi.de/entity/Q7284040 rdf:type owl:NamedIndividual , ; "C"@en , "T"@en , "q"@en , "Ec"@en , "Ev"@en , "Nc"@en , "Nv"@en , "kB"@en , "ψ0"@en ; "0=q(Nvexp⁡(Ev−qψ0kBT)−Ncexp⁡(qψ0−EckBT)+C)"@en ; rdfs:label "local charge-neutrality condition in semiconductors"@en ; ; ; "condition requiring zero local net charge, defining the charge-neutrality potential"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ec"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ev"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Nc"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Nv"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ0"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7284044 rdf:type owl:NamedIndividual , ; "C"@en , "T"@en , "q"@en , "Ec"@en , "Ev"@en , "Nc"@en , "Nv"@en , "kB"@en , "εs"@en , "ψeq"@en ; "−∇⋅(εs∇ψeq)=q(Nvexp⁡(Ev−qψeqkBT)−Ncexp⁡(qψeq−EckBT)+C)"@en ; rdfs:label "nonlinear Poisson equation (Boltzmann approximation)"@en ; ; ; "nonlinear Poisson equation (Boltzmann approximation) for calculation of built-in potential"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "C"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "T"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "q"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ec"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Ev"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Nc"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Nv"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "kB"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "εs"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψeq"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7284045 rdf:type owl:NamedIndividual , ; "k"@en , "Γk"@en , "ψeq"@en , "ψ0,k"@en ; "ψeq(𝐫)|Γk=ψ0,k"@en ; rdfs:label "Dirichlet boundary condition in thermodynamic equilibrium"@en ; ; ; "Dirichlet boundary condition for electrostatic potential in thermodynamic equilibrium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "k"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "Γk"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψeq"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψ0,k"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7284046 rdf:type owl:NamedIndividual , ; "𝝂"@en , "ΓN"@en , "ψeq"@en ; "𝝂⋅∇ψeq(𝐫)|ΓN=0"@en ; rdfs:label "Neumann boundary condition in thermodynamic equilibrium"@en ; ; ; "Neumann boundary condition for electrostatic potential in thermodynamic equilibrium"@en . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "𝝂"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ΓN"@en ; ] . [ rdf:type owl:Axiom ; owl:annotatedSource ; owl:annotatedProperty ; owl:annotatedTarget "ψeq"@en ; ] . ### https://portal.mardi4nfdi.de/entity/Q7284047 rdf:type owl:NamedIndividual , ; rdfs:label "contact index"@en ; ; ; "ordinal identifier used to distinguish the electrical terminals or contacts of a semiconductor device or other electronic component"@en . ### https://portal.mardi4nfdi.de/entity/Q74913 rdf:type owl:NamedIndividual , ; rdfs:label "engineering"@en ; "Q11023"@en ; ; ; , ; "applied science"@en . ### Generated by the OWL API (version 5.1.18) https://github.com/owlcs/owlapi/