PMID: 2486192Jun 1, 1989Paper

Pharmacokinetics from a dynamical systems point of view

Journal of Pharmacokinetics and Biopharmaceutics
J M van RossumH W Teeuwen

Abstract

The pharmacological action of many drugs depends on several variables at the same time and therefore will be dominated by an attractor of a dimension greater than zero. The pharmacokinetic behavior is likely to be dominated by a zero dimensional point attractor so that it is highly predictable. Pharmacokinetics is discussed from a dynamical systems point of view, whereby the transport of drugs in the tissues and organs is considered a stochastic process characterized by density functions of transit times and blood flows. In the body, the tissues and organs are arranged in parallel, in series, and in a feedback-loop fashion. Consequently, the single-pass transport of drugs through the body is again a stochastic process characterized by the density function of total body transit times, the cardiac output, and the total body extraction. The drug molecules, however, may pass through the body several times before ultimately leaving the system by metabolism or excretion. As a result, the body may be regarded as a positive feedback system with the pulmonary circulation (and its tissues) as the forward transfer function and the systemic circulation (with all its tissues) as the feedback transfer function. Consequently, the total body t...Continue Reading

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Citations

May 1, 1997·Bulletin of Mathematical Biology·P LánskýL Velísek
Apr 1, 1996·European Journal of Drug Metabolism and Pharmacokinetics·P MacherasC Polymilis
Oct 1, 1991·Trends in Pharmacological Sciences·J M van Rossum, J E de Bie
Mar 1, 1995·IEEE Transactions on Bio-medical Engineering·A Mari
Apr 1, 1996·Journal of Pharmacokinetics and Biopharmaceutics·F BoerA Hak
Aug 1, 1994·Journal of Pharmacokinetics and Biopharmaceutics·L Dedík, M Durisová
Jun 1, 1990·Journal of Pharmacokinetics and Biopharmaceutics·M Weiss
Jun 1, 1992·Journal of Pharmacokinetics and Biopharmaceutics·M Weiss, K S Pang
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Oct 21, 1999·The Journal of Pharmacy and Pharmacology·M Laznicek, A Laznickova
Jun 1, 1997·The Veterinary Quarterly·P AnfossiS Carli

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