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Deterministic Compartmental Models

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Modeling in Biopharmaceutics, Pharmacokinetics and Pharmacodynamics

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

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Abstract

Compartmental modeling is a broad modeling strategy that has been used in many different fields, though under varying denominations. Virtually all current applications and theoretical research in compartmental analysis are based on deterministic theory

This is Polyfemos the copper Cyclops whose body is full of water and someone has given him one eye, one mouth and one hand to each of which a tube is attached. Water appears to drip from his body and to gush from his mouth, all the tubes have regular flow. When the tube connected to his hand is opened his body will empty within 3 days, while the one from his eye will empty in one day and the one from his mouth in 2/5 of a day. Who can tell me how much time is needed to empty him when all three are opened together?

Metrodorus (331-278 BC)

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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

Authors
  1. Panos Macheras
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  2. Athanassios Iliadis
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Macheras, P., Iliadis, A. (2016). Deterministic 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_8

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