Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (extended abstract)
Systems and Control
2011-09-09 v1 Computational Engineering, Finance, and Science
Optimization and Control
Abstract
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.
Cite
@article{arxiv.1109.1649,
title = {Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (extended abstract)},
author = {L. Brim and J. Fabriková and S. Dražan and D. Šafránek},
journal= {arXiv preprint arXiv:1109.1649},
year = {2011}
}
Comments
In Proceedings CompMod 2011, arXiv:1109.1044