Kinetic theory modeling and efficient numerical simulation of gene regulatory networks based on qualitative descriptions

Chinesta, F. ; Magnin, M. ; Roux, O. ; Ammar, A. ; Cueto, E. (Universidad de Zaragoza)

Resumen: n 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

Idioma: Inglés

DOI: 10.3390/e17041896

Año: 2015

Publicado en: ENTROPY 17, 4 (2015), 1896-1915
ISSN: 1099-4300

Factor impacto JCR: 1.743 (2015)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 25 / 79 = 0.316 (2015) - Q2 - T1

Factor impacto SCIMAGO: 0.551 - Physics and Astronomy (miscellaneous) (Q2)

Tipo y forma: Article (Published version)

Área (Departamento): Área Mec.Med.Cont. y Teor.Est. (Dpto. Ingeniería Mecánica)