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Precise Parameter Synthesis for Stochastic Biochemical Systems

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ČEŠKA Milan DANNENBERG Frits KWIATKOWSKA Marta PAOLETTI Nicola

Rok publikování 2014
Druh Článek ve sborníku
Konference Computational Methods in Systems Biology
Fakulta / Pracoviště MU

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Citace
Doi http://dx.doi.org/10.1007/978-3-319-12982-2_7
Obor Informatika
Klíčová slova stochastic biochemical systems; parameter synthesis; continuous time Markov chains; model-checking
Popis We consider the problem of synthesising rate parameters for stochastic biochemical networks so that a given time-bounded CSL property is guaranteed to hold, or, in the case of quantitative properties, the probability of satisfying the property is maximised/minimised. We develop algorithms based on the computation of lower and upper bounds of the probability, in conjunction with refinement and sampling, which yield answers that are precise to within an arbitrarily small tolerance value. Our methods are efficient and improve on existing approximate techniques that employ discretisation and refinement. We evaluate the usefulness of the methods by synthesising rates for two biologically motivated case studies, including the reliability analysis of a DNA walker.

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