| BRIM, Luboš, Jana FABRIKOVÁ, Sven DRAŽAN and David ŠAFRÁNEK. Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation. Electronic Proceedings in Theoretical Computer Science. 2011, Neuveden, No 67, p. 97-112, 15 pp. ISSN 2075-2180. Available from: https://dx.doi.org/10.4204/EPTCS.67.9. |
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@article{947015,
author = {Brim, Luboš and Fabriková, Jana and Dražan, Sven and Šafránek, David},
article_number = {67},
doi = {http://dx.doi.org/10.4204/EPTCS.67.9},
keywords = {abstraction; differential equations; reachability; systems biology},
language = {eng},
issn = {2075-2180},
journal = {Electronic Proceedings in Theoretical Computer Science},
title = {Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation},
url = {http://eptcs.org/content.cgi?CompMod2011},
volume = {Neuveden},
year = {2011}
}
TY - JOUR
ID - 947015
AU - Brim, Luboš - Fabriková, Jana - Dražan, Sven - Šafránek, David
PY - 2011
TI - Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation
JF - Electronic Proceedings in Theoretical Computer Science
VL - Neuveden
IS - 67
SP - 97-112
EP - 97-112
SN - 20752180
KW - abstraction
KW - differential equations
KW - reachability
KW - systems biology
UR - http://eptcs.org/content.cgi?CompMod2011
N2 - 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.
ER -
BRIM, Luboš, Jana FABRIKOVÁ, Sven DRAŽAN and David ŠAFRÁNEK. Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation. \textit{Electronic Proceedings in Theoretical Computer Science}. 2011, Neuveden, No~67, p.~97-112, 15 pp. ISSN~2075-2180. Available from: https://dx.doi.org/10.4204/EPTCS.67.9.
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