Stochastic compartmental modeling and parameter estimation with application to cancer treatment follow-up studies |
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| Authors: | S El-Asfouri B C McInnis A S Kapadia |
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| Institution: | (1) Department of Electrical Engineering and Computer Science, University of Houston, 77004 Houston, Texas, U.S.A.;(2) School of Public Health, The University of Texas Health Science Center at Houston, 77025 Houston, Texas, U.S.A. |
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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.
Supported in part by NSF Grant Number DCR74-17282. |
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