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Analysis of multiscale biochemical systems: graph methods
1U.F.R. de Mathématiques et Informatique, Université de Bordeaux I, Talence, France.
Biomedica Biochimica Acta
|January 1, 1990
Abstract:
The applicability of usual biochemical modelling by ordinary differential equations is restricted if some of the metabolite concentrations leave the range of observability during the time span of interest. Therefore, a method is needed for testing whether the solution of a differential equation system remains comparable with given reference concentrations, which depend on the conditions of measurement. In the present paper, such a method based on graph theory and non-standard analysis is developed for the special case of networks of monomolecular reactions endowed with linear kinetics.