Abstraction of Biochemical Reaction Systems on Polytopes

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Authors

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

Year of publication 2011
Type Article in Proceedings
Conference Proceedings of the 18th IFAC World Congress
MU Faculty or unit

Faculty of Informatics

Citation
Web http://www.ifac-papersonline.net/Detailed/52361.html
Field Informatics
Keywords affine system; multi-affine system; piecewise-affine hybrid system; abstraction; polytope
Description 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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