학술논문

Qualitative analysis of nonlinear biochemical networks with piecewise-affine functions.
Document Type
Proceedings Paper
Author
Musters, M. W. J. M. (NL-EIND) AMS Author Profile; de Jong, H. (NL-EIND) AMS Author Profile; van den Bosch, P. P. J. (NL-EIND) AMS Author Profile; van Riel, N. A. W. AMS Author Profile
Source
Hybrid systems: computation and control (20070101), 727-730.
Subject
93 Systems theory; control -- 93A General
  93A30 Mathematical modeling
Language
English
Abstract
Summary: ``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 approximations of these networks. First the size of the biochemical model is reduced with quasi-steady state approaches by taking a priori information into account. Second, a conversion of a nonlinear model into a piecewise-affine approximation and subsequent qualitative analysis of this model is performed. This results in different sets of transition graphs that depend on the parameter values, which enables reduction of the parameter search space.''

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