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On the stochastic theory of compartments: III. General time-dependent reversible systems

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Abstract

General formulation of stochastic single- and multi-compartment reversible systems with time-dependent transitions is made. The correspondence between the stochastic mean and the deterministic value is established in case of time-dependence and it is shown how the consequence of this can be utilized to compute the distribution and the moments of each individual compartment of the system. A two-compartment reversible system previously proposed by Cardenas and Matis (1975a) is analyzed on the basis of the theory.

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Authors and Affiliations

  1. Laboratory of Theoretical Biology, National Cancer Institute, National Institutes of Health, 20014, Bethesda, Maryland, USA

    Ajit K. Thakur & Aldo Rescigno

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  1. Ajit K. Thakur
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  2. Aldo Rescigno
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Thakur, A.K., Rescigno, A. On the stochastic theory of compartments: III. General time-dependent reversible systems. Bltn Mathcal Biology 40, 237–246 (1978). https://doi.org/10.1007/BF02461438

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  • DOI: https://doi.org/10.1007/BF02461438

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