title: Analysis of multiscale biochemical systems: graph methods.
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.
authors.affiliation: U.F.R. de Mathématiques et Informatique, Université de Bordeaux I, Talence, France.
authors.forename: C
authors.initials: C
authors.lastname: Reder
mesh_terms: D000465:Algorithms; D001711:Biotransformation; D008954:Models, Biological; D010599:Pharmacokinetics