Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions

Mark W. J. M. Musters, H. De Jong, Paul P. J. van den Bosch, N. A.W. Van Riel

Research output: Chapter in Book / Report / Conference proceedingConference contributionAcademicpeer-review

2 Citations (Scopus)


Nonlinearities and the lack of accurate quantitative information considerably hamper modeling and system analysis of biochemical networks. Here we propose a procedure for qualitative mathematical analysis of piecewise-affine (PWA) approximations of these networks. First the biochemical model size was reduced with quasi-steady state approaches by taking a priori information into account. Second, a conversion of a nonlinear model into a PWA approximation and subsequent qualitative analysis of this model was performed. This resulted in different sets of transition graphs that depend on the parameter values, which enables reduction of the parameter search space.

Original languageEnglish
Title of host publicationHybrid Systems
Subtitle of host publicationComputation and Control - 10th International Conference, HSCC 2007, Proceedings
PublisherSpringer Verlag
Number of pages4
ISBN (Print)9783540714927
Publication statusPublished - 2007
Event10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007 - Pisa, Italy
Duration: 3 Apr 20075 Apr 2007

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume4416 LNCS


Conference10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007

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