1. Abstraction of Biochemical Reaction Systems on Polytopes
- Author
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Collins, Pieter J., Habets, Luc, van Schuppen, Jan H., Černá, Ivana, Fabriková, Jana, and Šafránek, David
- Abstract
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.
- Published
- 2011
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