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Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions

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

URI
http://hdl.handle.net/10985/9964
DOI
10.3390/e17041896
Date
2015
Journal
Entropy

Abstract

In this work, we begin by considering the qualitative modeling of biological regulatory systems using process hitting, from which we define its probabilistic counterpart by considering the chemical master equation within a kinetic theory framework. The last equation is efficiently solved by considering a separated representation within the proper generalized decomposition framework that allows circumventing the so-called curse of dimensionality. Finally, model parameters can be added as extra-coordinates in order to obtain a parametric solution of the model.

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