Title
Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions.
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.
Year
DOI
Venue
2015
10.3390/e17041896
ENTROPY
Keywords
Field
DocType
statistical mechanics,kinetic theory
Statistical mechanics,Mathematical optimization,Computer simulation,Curse of dimensionality,Parametric statistics,Kinetic theory,Probabilistic logic,Statistics,Gene regulatory network,Master equation,Mathematics
Journal
Volume
Issue
ISSN
17
4
1099-4300
Citations 
PageRank 
References 
1
0.78
3
Authors
5
Name
Order
Citations
PageRank
Francisco Chinesta13618.92
Morgan Magnin211512.71
Olivier Roux3102.44
A. Ammar4176.79
Elías Cueto583.77