Chemical Master Equation Empirical Moment Closure
Langue
en
Article de revue
Ce document a été publié dans
Biological Systems: Open Access. 2016, vol. 5, n° 1, p. 1-12
Omics Publishing Group
Résumé en anglais
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 ...Lire la suite >
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 involved. When considering separated representations of the probability distribution function within the Proper Generalized Decomposition-PGD-frame-work the complexity of the CME grows only linearly with the number of state space dimensions. In order to speed up calculations moment-based descriptions are usually preferred, however these descriptions involve the necessity of using closure relations whose impact on the calculated solution is most of time unpredictable. In this work we propose an empirical closure, fitted from the solution of the chemical master equation, the last solved within the PGD framework.< Réduire
Mots clés en anglais
Closure relations
Curse of dimensionality
Proper generalized decomposition
Chemical master equation
Origine
Importé de halUnités de recherche