Statistical Modeling of Pharmacokinetic Systems

[+] Author and Article Information
J. O. Tsokos

Chemistry Department, University of South Florida, Tampa, Fla.

C. P. Tsokos

Mathematics Department, University of South Florida, Tampa, Fla.

J. Dyn. Sys., Meas., Control 98(1), 37-43 (Mar 01, 1976) (7 pages) doi:10.1115/1.3426982 History: Received July 24, 1975; Online July 13, 2010


A statistical treatment of a pharmacokinetic compartmental model is described, wherein the initial drug concentration and/or the rate constants governing the distribution of the drug between the appropriate compartments are considered to be random variables. A specific pharmacokinetic model which describes the profile of the antibiotic coumermycin A, following intravenous and oral administration in man, is stochastized and a numerical comparison between the deterministic and the mean of the random solutions as a function of time is presented.

Copyright © 1976 by ASME
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