Kinetic Theory Modeling and Efficient Numerical Simulation of Gene Regulatory Networks Based on Qualitative Descriptions
Article dans une revue avec comité de lecture
Auteur
MAGNIN, MorganROUX, OlivierCUETO, Elias 
AMMAR, Amine CHINESTA SORIA, FranciscoRésumé
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.
Fichier(s) constituant cette publication
Cette publication figure dans le(s) laboratoire(s) suivant(s)
Documents liés
Visualiser des documents liés par titre, auteur, créateur et sujet.
-
Article dans une revue avec comité de lectureAMMAR, Amine; ; ; ; CHINESTA SORIA, Francisco (Omics Publishing Group, 2016)
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 ...
-
Article dans une revue avec comité de lecture;AMMAR, Amine; CHINESTA SORIA, Francisco; ; (Springer, 2013)
Modeling frameworks bring structure and analysis tools to large and non-intuitive systems but come with certain inherent assumptions and limitations, sometimes to an inhibitive extent. By building bridges in existing models, ...
-
Article dans une revue avec comité de lectureGHNATIOS, Chady; ; ; ; ; AMMAR, Amine; CHINESTA SORIA, Francisco (Wiley, 2020)
Composite manufacturing processes usually proceed from preimpregnated preforms that are consolidated by simultaneously applying heat and pressure, so as to ensure a perfect contact compulsory for making molecular diffusion ...
-
Article dans une revue avec comité de lectureCHINESTA SORIA, Francisco; ; ; ; ; ; ; AMMAR, Amine; (Springer Verlag, 2013)
In this paper we are addressing a new paradigm in the field of simulation-based engineering sciences (SBES) to face the challenges posed by current ICT technologies. Despite the impressive progress attained by simulation ...
-
Article dans une revue avec comité de lectureAMMAR, Amine; CHINESTA SORIA, Francisco; ; (Wiley, 2012)
Models encountered in computational mechanics could involve many time scales. When these time scales cannot be separated, one must solve the evolution model in the entire time interval by using the finest time step that ...