Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions
Language
en
Article de revue
This item was published in
Entropy. 2015-04, vol. 17, n° 4, p. 1896-1915
MDPI
English 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 ...Read more >
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.Read less <
English Keywords
statistical mechanics
kinetic theory
chemical master equation
proper generalized decomposition (PGD)
qualitative modeling
process hitting
biological regulatory networks
Origin
Hal imported