Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (extended abstract)
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.
- Publication:
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arXiv e-prints
- Pub Date:
- September 2011
- DOI:
- 10.48550/arXiv.1109.1649
- arXiv:
- arXiv:1109.1649
- Bibcode:
- 2011arXiv1109.1649B
- Keywords:
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- Computer Science - Systems and Control;
- Computer Science - Computational Engineering;
- Finance;
- and Science;
- Mathematics - Optimization and Control
- E-Print:
- In Proceedings CompMod 2011, arXiv:1109.1044