Analysis of multiscale biochemical systems: graph methods.
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.
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U.F.R. de Mathématiques et Informatique, Université de Bordeaux I, Talence, France.
D000465:Algorithms; D001711:Biotransformation; D008954:Models, Biological; D010599:Pharmacokinetics