Modeling of Pharmacokinetics and Pharmacodynamics with Application to Cancer and Arthritis
Modeling of Pharmacokinetics and Pharmacodynamics with Application to Cancer and Arthritis
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2012
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Abstract
Mathematical modeling of pharmacokinetics / pharmacodynamics (PKPD) is an important and growing field in drug development. In this work we develop preclinical PKPD models based on fundamental biological and pharmacological principles.
Equipped with a PKPD model, different dosing schedules could be simulated and therefore, a valuable contribution to first in human dose selection could be achieved. We consider different mathematical model figures and discuss the properties and biological basis. Such tools serve as modules for a final PKPD model. We apply ordinary and delay differential equations and especially focus on modeling of delays and lifespans in populations. We show a fundamental relationship between transit compartments and lifespan models. Moreover, we investigate the weighted least squares estimator and derive statistical characteristics of model parameter.
We present a PKPD model to describe tumor growth and anticancer effects for mono- and combination therapy. Further, we construct a PKPD model for arthritis development and antibody effects.
Summarizing, we develop (semi)-mechanistic mathematical PKPD models based on pharmacological assumptions and apply our models to measured data from preclinical phase.
Equipped with a PKPD model, different dosing schedules could be simulated and therefore, a valuable contribution to first in human dose selection could be achieved. We consider different mathematical model figures and discuss the properties and biological basis. Such tools serve as modules for a final PKPD model. We apply ordinary and delay differential equations and especially focus on modeling of delays and lifespans in populations. We show a fundamental relationship between transit compartments and lifespan models. Moreover, we investigate the weighted least squares estimator and derive statistical characteristics of model parameter.
We present a PKPD model to describe tumor growth and anticancer effects for mono- and combination therapy. Further, we construct a PKPD model for arthritis development and antibody effects.
Summarizing, we develop (semi)-mechanistic mathematical PKPD models based on pharmacological assumptions and apply our models to measured data from preclinical phase.
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310 Statistics
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Conference
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KOCH, Gilbert, 2012. Modeling of Pharmacokinetics and Pharmacodynamics with Application to Cancer and Arthritis [Dissertation]. Konstanz: University of KonstanzBibTex
@phdthesis{Koch2012Model-19472, year={2012}, title={Modeling of Pharmacokinetics and Pharmacodynamics with Application to Cancer and Arthritis}, author={Koch, Gilbert}, address={Konstanz}, school={Universität Konstanz} }
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Examination date of dissertation
May 25, 2012
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Alliance license
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Yes