Abstract
Partial discretization as a means for simplifying mathematical models is examined in detail. The main aim of this endeavor is to reconcile the approximate character of this model simplification technique with some fairly recent system theoretic developments, in which valid simplification is characterized in terms of certain preservation relations. To this end, a model is constructed for systems of interest in blood physiology and chemical engineering, then this model is subjected to all sorts of manipulations, including partial discretization. Out of this analysis, there emerges the notion of approximate preservation relation, which charaterizes validity of this approximate simplification procedure.
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