Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation

Details Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation

2011-07-29

arxiv.org/abs/1107.5924v1

Computer Science

Systems and Control

Full version of a paper accepted to COMPMOD 2011

Scientific paper

In this paper a novel computational technique for finite discrete approximation of continuous dynamical systems suitable for a significant class of biochemical dynamical systems is introduced. The method is parameterized in order to affect the imposed level of approximation provided that with increasing parameter value the approximation converges to the original continuous system. By employing this approximation technique, we present algorithms solving the reachability problem for biochemical dynamical systems. The presented method and algorithms are evaluated on several exemplary biological models and on a real case study. This is a full version of the paper published in the proceedings of CompMod 2011.

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