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Rare Event Handling in Signalling Cascades

Authors:
Benoît Barbot
Serge Haddad
Monika Heiner
Claudine Picaronny

Keywords: Rare event; Importance sampling; Signalling cascade

Abstract:
Signalling cascades are a recurrent pattern of biological regulatory systems whose analysis has deserved a lot of attention. It has been shown that Stochastic Petri Nets (SPN) are appro- priate to model such systems and evaluate the probabilities of specific properties. Such an evaluation can be done numerically when the combinatorial state space explosion is manageable or statistically otherwise. However, when the probabilities to be evaluated are too small, random simulation requires more sophisticated techniques for the handling of rare events. In this paper, we show how such involved methods can be successfully applied for signalling cascades. More precisely, we study three relevant properties of a signalling cascade with the help of the COSMOS tool. Our experiments point out interesting dependencies between quantitative parameters of the regulatory system and its transient behaviour. In addition, they demonstrate that we can go beyond the capabilities of MARCIE, which provides one of the most efficient numerical solvers.

Pages: 126 to 131

Copyright: Copyright (c) IARIA, 2014

Publication date: October 12, 2014

Published in: conference

ISSN: 2308-4537

ISBN: 978-1-61208-371-1

Location: Nice, France

Dates: from October 12, 2014 to October 16, 2014