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On the stochastic theory of compartments: II. Multi-compartment systems

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Abstract

A stochastic model is developed for a system of interconnected compartments. The generating function of the random variable of any compartment can be constructed from a flow graph involving the expectations of the random variables of all compartments of the system.

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Literature

  • Matis, J. H. and H. O. Hartley. 1971. “Stochastic Compartmental Analysis: Model and Least Squares Estimation from Time Series Data.”Biometrics,27, 77–102.

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  • Rescigno, A. and J. S. Beck. 1972.Foundations of Mathematical Biology. Vol. 2, Chapt. 5. Ed. by R. Rosen. New York: Academic Press.

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Authors and Affiliations

  1. Department of Physiology, University of Minnesota, 55455, Minneapolis, Minnesota

    A. K. Thakur, A. Rescigno & D. E. Schafer

  2. Experimental Surgery Laboratory, Veterans Administration Hospital, 55417, Minneapolis, Minnesota

    D. E. Schafer

Authors
  1. A. K. Thakur
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  2. A. Rescigno
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  3. D. E. Schafer
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Thakur, A.K., Rescigno, A. & Schafer, D.E. On the stochastic theory of compartments: II. Multi-compartment systems. Bltn Mathcal Biology 35, 263–271 (1973). https://doi.org/10.1007/BF02558812

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  • DOI: https://doi.org/10.1007/BF02558812

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