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Chemical Master Equation Empirical Moment Closure

Article dans une revue avec comité de lecture
Author
ccAMMAR, Amine
211916 Laboratoire Angevin de Mécanique, Procédés et InnovAtion [LAMPA]
MAGNIN, Morgan
21439 Institut de Recherche en Communications et en Cybernétique de Nantes [IRCCyN]
ROUX, Olivier
ccCUETO, Elias
161327 Aragón Institute of Engineering Research [Zaragoza] [I3A]
ccCHINESTA SORIA, Francisco
10921 Institut de Recherche en Génie Civil et Mécanique [GeM]

URI
http://hdl.handle.net/10985/11391
DOI
10.4172/2329-6577.1000155
Date
2016
Journal
Biological Systems: Open Access

Abstract

The numerical solution of the Chemical Master Equation (CME) governing gene regulatory networks and cell signaling processes remains a challenging task due to its complexity, exponentially growing with the number of species involved. When considering separated representations of the probability distribution function within the Proper Generalized Decomposition-PGD-frame-work the complexity of the CME grows only linearly with the number of state space dimensions. In order to speed up calculations moment-based descriptions are usually preferred, however these descriptions involve the necessity of using closure relations whose impact on the calculated solution is most of time unpredictable. In this work we propose an empirical closure, fitted from the solution of the chemical master equation, the last solved within the PGD framework.

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