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  • Analysis of the dynamic behavior of large-scale biochemical reaction systems can be facilitated by abstraction followed by model checking. A biochemical reaction system can be approximated by a multi-affine system or an affine system on a rectangle. Either of these systems can be abstracted to an automaton. Model checking can then be employed to determine whether the dynamic behavior of the automaton satisfies specific properties. A relation between the system and its abstraction is proved; it is an over-approximation: any discrete state trajectory of the abstraction of the continuous state trajectory is contained in the automaton but the automaton may contain more behavior.
  • Analysis of the dynamic behavior of large-scale biochemical reaction systems can be facilitated by abstraction followed by model checking. A biochemical reaction system can be approximated by a multi-affine system or an affine system on a rectangle. Either of these systems can be abstracted to an automaton. Model checking can then be employed to determine whether the dynamic behavior of the automaton satisfies specific properties. A relation between the system and its abstraction is proved; it is an over-approximation: any discrete state trajectory of the abstraction of the continuous state trajectory is contained in the automaton but the automaton may contain more behavior. (en)
Title
  • Abstraction of Biochemical Reaction Systems on Polytopes
  • Abstraction of Biochemical Reaction Systems on Polytopes (en)
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  • Abstraction of Biochemical Reaction Systems on Polytopes
  • Abstraction of Biochemical Reaction Systems on Polytopes (en)
skos:notation
  • RIV/00216224:14330/11:00052082!RIV12-MSM-14330___
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  • 184342
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  • RIV/00216224:14330/11:00052082
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  • affine system; multi-affine system; piecewise-affine hybrid system; abstraction; polytope (en)
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  • [E2519B2A2D2E]
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  • Milano
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  • Milano
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  • Proceedings of the 18th IFAC World Congress
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  • Collins, Pieter
  • Fabriková, Jana
  • Habets, Luc
  • van Schuppen, Jan
  • Černá, Ivana
  • Šafránek, David
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  • IFAC
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  • 978-1-1234-7890-2
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  • 14330
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