JSM 2005 - Toronto

Abstract #304135

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 91
Type: Topic Contributed
Date/Time: Monday, August 8, 2005 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #304135
Title: Optimal Design of Pharmacokinetic Studies Described by Stochastic Differential Equations
Author(s): Sergei Leonov*+ and Valerii Fedorov and Vladimir Anisimov
Companies: GlaxoSmithKline and GlaxoSmithKline and GlaxoSmithKline
Address: 1250 So Collegeville Rd, Collegeville, PA, 19426, United States
Keywords: optimal design ; nonlinear model ; intrinsic randomness ; pharmacokinetic model ; optimal sampling times
Abstract:

We discuss pharmacokinetic (PK) studies with serial sampling described by compartmental models and which lead to nonlinear mixed effects models with multiple responses. We consider three sources of randomness: intrinsic randomness, that is stochastic differential equations are used to build compartmental models; observational or measurement errors; and population variability (i.e., individual PK parameters of each patient are sampled from the population distribution). The quality of the information in an experiment is measured by the variance-covariance matrix of parameter estimates. We demonstrate how to optimize the precision of parameter estimates by finding the best number and allocation of sampling times.


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