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

doi:https://doi.org/10.1007/978-3-540-71493-4_71

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 proceeding › Conference contribution › Academic › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Title of host publication	Hybrid Systems
Subtitle of host publication	Computation and Control - 10th International Conference, HSCC 2007, Proceedings
Publisher	Springer Verlag
Pages	727-730
Number of pages	4
ISBN (Print)	9783540714927
DOIs	https://doi.org/10.1007/978-3-540-71493-4_71
Publication status	Published - 2007
Event	10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007 - Pisa, Italy Duration: 3 Apr 2007 → 5 Apr 2007

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	4416 LNCS

Conference

Conference	10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007
Country/Territory	Italy
City	Pisa
Period	3/04/2007 → 5/04/2007

Access to Document

https://doi.org/10.1007/978-3-540-71493-4_71

Cite this

Musters, M. W. J. M., De Jong, H., van den Bosch, P. P. J., & Van Riel, N. A. W. (2007). Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions. In Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings (pp. 727-730). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4416 LNCS). Springer Verlag. https://doi.org/10.1007/978-3-540-71493-4_71

Musters, Mark W. J. M. ; De Jong, H. ; van den Bosch, Paul P. J. et al. / Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions. Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Springer Verlag, 2007. pp. 727-730 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "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.",

author = "Musters, {Mark W. J. M.} and {De Jong}, H. and {van den Bosch}, {Paul P. J.} and {Van Riel}, {N. A.W.}",

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Musters, MWJM, De Jong, H, van den Bosch, PPJ & Van Riel, NAW 2007, Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions. in Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 4416 LNCS, Springer Verlag, pp. 727-730, 10th International Conference on Hybrid Systems: Computation and Control, HSCC 2007, Pisa, Italy, 3/04/2007. https://doi.org/10.1007/978-3-540-71493-4_71

Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions. / Musters, Mark W. J. M.; De Jong, H.; van den Bosch, Paul P. J. et al.
Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Springer Verlag, 2007. p. 727-730 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 4416 LNCS).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - 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.

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T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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Musters MWJM, De Jong H, van den Bosch PPJ, Van Riel NAW. Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions. In Hybrid Systems: Computation and Control - 10th International Conference, HSCC 2007, Proceedings. Springer Verlag. 2007. p. 727-730. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: https://doi.org/10.1007/978-3-540-71493-4_71

Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions

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