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Modeling of delays in PKPD : classical approaches and a tutorial for delay differential equations

Modeling of delays in PKPD : classical approaches and a tutorial for delay differential equations

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KOCH, Gilbert, Wojciech KRZYZANSKI, Juan Jose PÉREZ-RUIXO, Johannes SCHROPP, 2014. Modeling of delays in PKPD : classical approaches and a tutorial for delay differential equations. In: Journal of Pharmacokinetics and Pharmacodynamics. 41(4), pp. 291-318. ISSN 1567-567X. eISSN 1573-8744

@article{Koch2014Model-29583, title={Modeling of delays in PKPD : classical approaches and a tutorial for delay differential equations}, year={2014}, doi={10.1007/s10928-014-9368-y}, number={4}, volume={41}, issn={1567-567X}, journal={Journal of Pharmacokinetics and Pharmacodynamics}, pages={291--318}, author={Koch, Gilbert and Krzyzanski, Wojciech and Pérez-Ruixo, Juan Jose and Schropp, Johannes} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/29583"> <dc:language>eng</dc:language> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-01-21T15:36:35Z</dc:date> <dc:contributor>Pérez-Ruixo, Juan Jose</dc:contributor> <dc:contributor>Schropp, Johannes</dc:contributor> <dc:creator>Koch, Gilbert</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-01-21T15:36:35Z</dcterms:available> <dc:creator>Krzyzanski, Wojciech</dc:creator> <dcterms:issued>2014</dcterms:issued> <dcterms:abstract xml:lang="eng">In pharmacokinetics/pharmacodynamics (PKPD) the measured response is often delayed relative to drug administration, individuals in a population have a certain lifespan until they maturate or the change of biomarkers does not immediately affects the primary endpoint. The classical approach in PKPD is to apply transit compartment models (TCM) based on ordinary differential equations to handle such delays. However, an alternative approach to deal with delays are delay differential equations (DDE). DDEs feature additional flexibility and properties, realize more complex dynamics and can complementary be used together with TCMs. We introduce several delay based PKPD models and investigate mathematical properties of general DDE based models, which serve as subunits in order to build larger PKPD models. Finally, we review current PKPD software with respect to the implementation of DDEs for PKPD analysis.</dcterms:abstract> <dc:creator>Pérez-Ruixo, Juan Jose</dc:creator> <dc:contributor>Krzyzanski, Wojciech</dc:contributor> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/29583"/> <dc:creator>Schropp, Johannes</dc:creator> <dc:contributor>Koch, Gilbert</dc:contributor> <dcterms:title>Modeling of delays in PKPD : classical approaches and a tutorial for delay differential equations</dcterms:title> </rdf:Description> </rdf:RDF>

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