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Stochastic compartmental modeling and parameter estimation with application to cancer treatment follow-up studies

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Abstract

In this paper we use marginal probabilities to derive expressions for the means, variances and covariances ofm-compartment systems. We also present an efficient algorithm for the estimation of the parameters of the system using time series data when measurements are available fromk of them compartments. An application of the analysis and parameter estimation procedure for a model representing the results of a cancer treatment follow-up study is given.

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Author information

Authors and Affiliations

  1. Department of Electrical Engineering and Computer Science, University of Houston, 77004, Houston, Texas, U.S.A.

    S. El-Asfouri & B. C. McInnis

  2. School of Public Health, The University of Texas Health Science Center at Houston, 77025, Houston, Texas, U.S.A.

    A. S. Kapadia

Authors
  1. S. El-Asfouri
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  2. B. C. McInnis
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  3. A. S. Kapadia
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Additional information

Supported in part by NSF Grant Number DCR74-17282.

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El-Asfouri, S., McInnis, B.C. & Kapadia, A.S. Stochastic compartmental modeling and parameter estimation with application to cancer treatment follow-up studies. Bltn Mathcal Biology 41, 203–215 (1979). https://doi.org/10.1007/BF02460879

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  • DOI: https://doi.org/10.1007/BF02460879

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