Bulletin of Mathematical Biology

, Volume 41, Issue 4, pp 611–613 | Cite as

On stochastic compartmental modeling

  • B. C. McInnis
  • S. A. El-Asfouri
  • S. A. Kapadia
Letter to the Editor


This communication contains a proof of the fact that the coefficient of variation of the contents of a compartment of a stochastic compartmental model with deterministic rate parameters is small for large populations. We can therefore conclude that the use of stochastic compartmental models is not of great consequence in the case of systems involving large populations when only the randomness of the transfer mechanism is considered.


Stochastic Theory Constant Transfer Rate Compartment System Single Compartment Model Time Dependent Transition 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Bernard, S. R. 1977. “An Urn Model Study of Variability within a Compartment.”Bull. Math. Biol. 39, 463–470.MATHMathSciNetCrossRefGoogle Scholar
  2. Cardenas, M. and J. H. Matis. 1974. “On the Stochastic Theory of Compartments: Solution for n-Compartment Systems with Irreversible, Time Dependent Transition Probabilities,”Bull. Math. Biol.,36, 489–504.MATHMathSciNetCrossRefGoogle Scholar
  3. Kapadia, A. S. and B. C. McInnis. 1976. “A Stochastic Compartmental Model with Continuous Infusion.”Bull. Math. Biol.,38, 695–700.MATHMathSciNetCrossRefGoogle Scholar
  4. Matis, J. H. and H. O. Hartley. 1971. “Stochastic Compartmental Analysis: Model and Least-Squares Estimation for Time Series Data.”Biometrics 27, 77–102.CrossRefGoogle Scholar
  5. Thakur, A. K., A. Rescigno and D. E. Schafer. 1972. “On the Stochastic Theory of Compartments: I. A Single Compartment System.”Bull. Math. Biophys.,34, 53–63.MATHMathSciNetGoogle Scholar
  6. —— and —. 1973. “On the Stochastic Theory of Compartments: II. Multi-Compartment Systems.Bull. Math. Biol. 35, 263–271.MATHMathSciNetCrossRefGoogle Scholar

Copyright information

© Society of Mathematical Biology 1979

Authors and Affiliations

  • B. C. McInnis
    • 1
  • S. A. El-Asfouri
    • 2
  • S. A. Kapadia
    • 3
  1. 1.Electrical Engineering DepartmentUniversity of HoustonHoustonUSA
  2. 2.Computer Science DepartmentUniversity of HoustonHoustonUSA
  3. 3.School of Public HealthUniversity of Texas Health Science Center, Health Science Center at HoustonHoustonUSA

Personalised recommendations