Publikation: Mathematical Concepts in Pharmacokinetics and Pharmacodynamics with Application to Tumor Growth
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2013
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
URI (zitierfähiger Link)
DOI (zitierfähiger Link)
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Beitrag zu einem Sammelband
Publikationsstatus
Published
Erschienen in
KLOEDEN, Peter E., ed., Christian PÖTZSCHE, ed.. Nonautonomous Dynamical Systems in the Life Sciences. Cham: Springer International Publishing, 2013, pp. 225-250. Lecture Notes in Mathematics. 2102. ISBN 978-3-319-03079-1. Available under: doi: 10.1007/978-3-319-03080-7_7
Zusammenfassung
Mathematical modeling plays an important and increasing role in drug development. The objective of this chapter is to present the concept of pharmacokinetic (PK) and pharmacodynamic (PD) modeling applied in the pharmaceutical industry. We will introduce typically PK and PD models and present the underlying pharmacological and biological interpretation. It turns out that any PKPD model is a nonautonomous dynamical system driven by the drug concentration. We state a theoretical result describing the general relationship between two widely used models, namely, transit compartments and lifespan models. Further, we develop a PKPD model for tumor growth and anticancer effects based on the present model figures and apply the model to measured data.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
KOCH, Gilbert, Johannes SCHROPP, 2013. Mathematical Concepts in Pharmacokinetics and Pharmacodynamics with Application to Tumor Growth. In: KLOEDEN, Peter E., ed., Christian PÖTZSCHE, ed.. Nonautonomous Dynamical Systems in the Life Sciences. Cham: Springer International Publishing, 2013, pp. 225-250. Lecture Notes in Mathematics. 2102. ISBN 978-3-319-03079-1. Available under: doi: 10.1007/978-3-319-03080-7_7BibTex
@incollection{Koch2013Mathe-26821,
year={2013},
doi={10.1007/978-3-319-03080-7_7},
title={Mathematical Concepts in Pharmacokinetics and Pharmacodynamics with Application to Tumor Growth},
number={2102},
isbn={978-3-319-03079-1},
publisher={Springer International Publishing},
address={Cham},
series={Lecture Notes in Mathematics},
booktitle={Nonautonomous Dynamical Systems in the Life Sciences},
pages={225--250},
editor={Kloeden, Peter E. and Pötzsche, Christian},
author={Koch, Gilbert and Schropp, Johannes}
}RDF
<rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:bibo="http://purl.org/ontology/bibo/"
xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:void="http://rdfs.org/ns/void#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/26821">
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dcterms:abstract xml:lang="eng">Mathematical modeling plays an important and increasing role in drug development. The objective of this chapter is to present the concept of pharmacokinetic (PK) and pharmacodynamic (PD) modeling applied in the pharmaceutical industry. We will introduce typically PK and PD models and present the underlying pharmacological and biological interpretation. It turns out that any PKPD model is a nonautonomous dynamical system driven by the drug concentration. We state a theoretical result describing the general relationship between two widely used models, namely, transit compartments and lifespan models. Further, we develop a PKPD model for tumor growth and anticancer effects based on the present model figures and apply the model to measured data.</dcterms:abstract>
<dc:language>eng</dc:language>
<dc:contributor>Koch, Gilbert</dc:contributor>
<dc:rights>terms-of-use</dc:rights>
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2014-03-05T14:36:29Z</dcterms:available>
<dcterms:title>Mathematical Concepts in Pharmacokinetics and Pharmacodynamics with Application to Tumor Growth</dcterms:title>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2014-03-05T14:36:29Z</dc:date>
<dcterms:issued>2013</dcterms:issued>
<dcterms:bibliographicCitation>Nonautonomous Dynamical Systems in the Life Sciences / Peter E. Kloeden ... (eds.). - Cham [u.a.] : Springer, 2013. - S. 225-250. - (Lecture Notes in Mathematics ; 2102). - ISBN 978-3-319-03079-1</dcterms:bibliographicCitation>
<dc:creator>Koch, Gilbert</dc:creator>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:contributor>Schropp, Johannes</dc:contributor>
<dc:creator>Schropp, Johannes</dc:creator>
<bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/26821"/>
<dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
