Publication details
Abstraction of Biochemical Reaction Systems on Polytopes
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Proceedings |
| Conference | Proceedings of the 18th IFAC World Congress |
| MU Faculty or unit | |
| 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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