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