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  • 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.
  • 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. (en)
Title
  • Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation
  • Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (en)
skos:prefLabel
  • Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation
  • Reachability in Biochemical Dynamical Systems by Quantitative Discrete Approximation (en)
skos:notation
  • RIV/00216224:14330/11:00049903!RIV12-GA0-14330___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA201/09/1389), S, Z(MSM0021622419)
http://linked.open...iv/cisloPeriodika
  • 67
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  • 225764
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  • RIV/00216224:14330/11:00049903
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  • abstraction; differential equations; reachability; systems biology (en)
http://linked.open.../riv/klicoveSlovo
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  • CZ - Česká republika
http://linked.open...ontrolniKodProRIV
  • [A150088F6C9A]
http://linked.open...i/riv/nazevZdroje
  • Electronic Proceedings in Theoretical Computer Science
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  • Neuveden
http://linked.open...iv/tvurceVysledku
  • Brim, Luboš
  • Fabriková, Jana
  • Šafránek, David
  • Dražan, Sven
http://linked.open...n/vavai/riv/zamer
issn
  • 2075-2180
number of pages
http://bibframe.org/vocab/doi
  • 10.4204/EPTCS.67.9
http://localhost/t...ganizacniJednotka
  • 14330
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