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Abstract Details

Activity Number: 246
Type: Contributed
Date/Time: Monday, July 30, 2012 : 2:00 PM to 3:50 PM
Sponsor: Biopharmaceutical Section
Abstract - #305230
Title: Minimum-Chi-Square-Estimation of Pharmacokinetic Parameters
Author(s): Karl-Ernst Biebler*+
Companies: Ernst-Moritz-Arndt University
Address: Rathenaustrasse 48, Greifswald, _, 17475, Germany
Keywords: pharmacokinetics ; minimum-chi-square parameter estimation ; model choice ; compartment model ; residence time distribution

Parameter estimation in the pharmacokinetics requires a probability theoretical model. One often uses a regression formula with a random error term. Another approach is developed here. Random variable is the residence time of a drug molecule in the individual. Its probability distribution is derived from the pharmacokinetic model via the related ordinary differential equations. The related parameter estimation is calculated according to the varied minimum-chi-square-method from the measured concentration values. The applicability of this procedure was examined for certain classic compartment models. Examples and counterexamples are given. If the varied minimum-chi-square-estimation exists, it is uniquely determined and consistent. The test of Pearson then can be used for the model choice.

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