Abstract

Publisher Summary The linear, time invariant compartmental models are of primary interest in the pharmacokinetics. The goal of the compartmental analysis is usually to find the simplest model that can fit the experimental data within the limits of measurement errors. This chapter describes the use of a new tool for tackling the a priori model selection and model simplification problems in compartmental analysis. This new tool is the concept of structural equivalence that is a generalization of the conventional concept of system equivalence and is closely related to the notion of structural identiflability. The results are based on the rigorous mathematical formulation. The chapter presents the mathematical results with two examples to show possible applications of the concept with respect to some practical problems of pharmacokinetics.

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