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Abstraction of Biochemical Reaction Systems on Polytopes

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COLLINS Pieter HABETS Luc VAN SCHUPPEN Jan ČERNÁ Ivana FABRIKOVÁ Jana ŠAFRÁNEK David

Rok publikování 2011
Druh Článek ve sborníku
Konference Proceedings of the 18th IFAC World Congress
Fakulta / Pracoviště MU

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Citace
www http://www.ifac-papersonline.net/Detailed/52361.html
Obor Informatika
Klíčová slova affine system; multi-affine system; piecewise-affine hybrid system; abstraction; polytope
Popis 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.
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