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High-Performance Discrete Bifurcation Analysis for Piecewise-Affine Dynamical Systems

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BRIM Luboš DEMKO Martin PASTVA Samuel ŠAFRÁNEK David

Rok publikování 2015
Druh Článek ve sborníku
Konference Hybrid Systems Biology Fourth International Workshop, HSB 2015, Madrid, Spain, September 4-5, 2015. Revised Selected Papers
Fakulta / Pracoviště MU

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www elektronická verze v nakladatelství Springer
Doi http://dx.doi.org/10.1007/978-3-319-26916-0_4
Obor Informatika
Klíčová slova bifurcation analysis; model checking; dynamical systems; formal methods
Popis Analysis of equilibria, their stability and instability, is an unavoidable ingredient of model analysis in systems biology. In particular, bifurcation analysis which focuses on behaviour of phase portraits under variations of parameters is of great importance. We propose a novel method for bifurcation analysis that employs coloured model checking to analyse phase portraits bifurcation in rectangular abstractions of piecewise-affine systems. The algorithm works on clusters of workstations and multi-core computers to allow scalability. We demonstrate the method on a repressilator genetic regulatory network.
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