Exact simulation of hybrid stochastic and deterministic models for biochemical systems
Résumé
Motivation : Over the last years it has become evident that stochastic effects play an important role in biological processes leading to an increase in stochastic modelling attempts. Despite the availability of exact algorithms to numerically solve the chemical master equation that entirely describes a stochastic system, stochastic simulations are most of the times very computationally expensive. Hybrid methods that treat some processes as in the deterministic framework and others as stochastic are a promising way to speed up simulations for those cases involving different time scales, e.g., systems integrating metabolic pathways and gene regulatory networks.