Graduate Thesis Or Dissertation
 

Parameter estimation in stochastic multicompartment models with destructive sampling

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https://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/9z903313c

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  • In many experimental situations involving compartmental models, a more realistic model is obtained if the rate constants are regarded as random variables. We consider the problem of estimating the means and variances of the rate constants in a stochastic compartmental model when a) a time series of observations of an individual system cannot be made (because of destructive sampling), and b) exact expressions for the moments of the stochastic model cannot be found (as is the case with most multicompartment models). Several estimation procedures will be described and compared using. simulated experimental data from three different two-compartment pharmacokinetic models. While all the procedures -seem to give reasonable estimates of the means, good estimates of the variances are obtained only if the covariance structure of the stochastic model is taken into account. In addition, the results suggest that the difference between the mean of the stochastic model and the deterministic model evaluated at the means of the rate constants is not as important in the parameter estimation problem as has been suggested by previous authors.
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