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Stochastic theory of compartments: One and two compartment systems

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Abstract

Previous work on compartmental systems is generalized (i) to allow the particles present at time zero to have a different lifetime distribution than those which arrive after time zero, and (ii) to allow a particle which enters the system at timet to have a lifetime distribution which is a function oft but is otherwise quite general. The one and two compartment models are analyzed under the above conditions and compared to previous results of Thakuret al. (1974), Purdue (1974) and Cardenas and Matis (1974). Finally, some results for the two compartment, reversible system are given. The analysis used is a blend of direct random variable and queueing theoretic techniques.

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Authors and Affiliations

  1. Department of Statistics, University of Kentucky, 40506, Lexington, Kentucky

    Peter Purdue

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  1. Peter Purdue
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Purdue, P. Stochastic theory of compartments: One and two compartment systems. Bltn Mathcal Biology 36, 577–587 (1974). https://doi.org/10.1007/BF02463269

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  • DOI: https://doi.org/10.1007/BF02463269

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