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Stochastic Compartmental Models

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Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics

Part of the book series: Interdisciplinary Applied Mathematics ((IAM,volume 30 ))

Abstract

The “real world” of compartmental systems has a strong stochastic component, so we will present a stochastic approach to compartmental modeling. In deterministic theory developed in Chapter 8, each compartment is treated as being both homogeneous and a continuum.

Résumons nos conclusions…C’est donc en termes probabilistes que les lois de la dynamique doivent être formulées lorsqu’elles concernent des systèmes chaotiques.

Ilya Prigogine (1917–2003)

1977 Nobel Laureate in Chemistry

La fin des certitudes

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Notes

  1. 1.

    The terms “drug molecule” and “particle” will be used in this chapter interchangeably.

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Authors and Affiliations

  1. Faculty of Pharmacy, National and Kapodistrian University of Athens, Athens, Greece

    Panos Macheras

  2. Faculty of Pharmacy, Aix-Marseille University, Marseille, France

    Athanassios Iliadis

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  1. Panos Macheras
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  2. Athanassios Iliadis
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Macheras, P., Iliadis, A. (2016). Stochastic Compartmental Models. In: Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics. Interdisciplinary Applied Mathematics, vol 30 . Springer, Cham. https://doi.org/10.1007/978-3-319-27598-7_11

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