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@inproceedings{1076230,
author = {Brim, Luboš and Fabriková, Jana and Dražan, Sven and Šafránek, David},
address = {Heidelberg},
booktitle = {Transactions on Computational Systems Biology XIV},
doi = {http://dx.doi.org/10.1007/978-3-642-35524-0_4},
editor = {Corrado Priami et al.},
keywords = {biochemical dynamical systems; reachability analysis; discrete approximation},
howpublished = {tištěná verze "print"},
language = {eng},
location = {Heidelberg},
isbn = {978-3-642-35523-3},
pages = {77-101},
publisher = {Springer},
title = {On Approximative Reachability Analysis of Biochemical Dynamical Systems},
url = {http://link.springer.com/chapter/10.1007%2F978-3-642-35524-0_4},
year = {2012}
}
TY - JOUR
ID - 1076230
AU - Brim, Luboš - Fabriková, Jana - Dražan, Sven - Šafránek, David
PY - 2012
TI - On Approximative Reachability Analysis of Biochemical Dynamical Systems
PB - Springer
CY - Heidelberg
SN - 9783642355233
KW - biochemical dynamical systems
KW - reachability analysis
KW - discrete approximation
UR - http://link.springer.com/chapter/10.1007%2F978-3-642-35524-0_4
L2 - http://link.springer.com/chapter/10.1007%2F978-3-642-35524-0_4
N2 - This is an extended version of the workshop paper, in which a new computational technique called quantitative discrete approximation has been introduced. The technique provides finite discrete approximation of continuous dynamical systems which is suitable especially for a significant class of biochemical dynamical systems. With decreasing granularity the approximation of behaviour between a discrete state and its successor converges to the behaviour of the original continuous system in the respective part of the phase space. This paper provides a detailed description of the method and algorithms solving the reachability problem in biochemical dynamical systems. The method is supplemented with heuristics for reducing the cardinality of the reachable state space. The algorithms are evaluated on six models (with numbers of variables ranging from 2 to 12).
ER -
BRIM, Luboš, Jana FABRIKOVÁ, Sven DRAŽAN and David ŠAFRÁNEK. On Approximative Reachability Analysis of Biochemical Dynamical Systems. In Corrado Priami et al. \textit{Transactions on Computational Systems Biology XIV}. Heidelberg: Springer, 2012, p.~77-101. ISBN~978-3-642-35523-3. Available from: https://dx.doi.org/10.1007/978-3-642-35524-0\_{}4.
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