alexa Chemical Master Equation Empirical Moment Closure
ISSN: 2329-6577

Biological Systems: Open Access
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Research Article

Chemical Master Equation Empirical Moment Closure

Ammar A1, Magnin M2, Roux O3, Cueto E4 and Chinesta F5*
1LAMPA, ENSAM Angers, France and UMSSDT, ENSIT Tunis, Tunisie, France
2IRCCyN, Ecole Centrale de Nantes, France
31 rue de la Noe, BP 92101, F-44321 Nantes cedex 3, France
4I3A, Universidad de Zaragoza. Zaragoza, Spain
5GeM, Ecole Centrale de Nantes, 1 rue de la Noe, BP 92101, F-44321 Nantes cedex 3, France
Corresponding Author : Francisco Chinesta
GeM, Ecole Centrale de Nantes, 1 rue de la Noe, BP 92101
F-44321 Nantes cedex 3, France
Tel: 33670799072
E-mail: [email protected]
Received: September 18, 2015; Accepted: January 13, 2016; Published: January 21, 2016
Citation: Ammar A, Magnin M, Roux O, Cueto E, Chinesta F (2016) Chemical Master Equation Empirical Moment Closure. Biol Syst Open Access 5:155. doi:10.4172/2329-6577.1000155
Copyright: © 2016 Ammar A, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
 

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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