Using Virtual Reaction Scheme in the Multiple Time Scales System for Stochastic Modelling

Abstract

A virtual reaction scheme and the notion of quasi-independent is proposed in this paper to assist in model partitioning for the biochemical reactions with multiple time scales. Subsequently, the singular perturbation method is applied to the stochastic model, in particular the chemical master equation of the multiple time scales system to reduce the model dimension. As a result, a lower dimensional approximation for the chemical master equation is derived through this approach. Therefore, the high dimensional chemical master equation can be solved with a lower computational cost.

Keywords

• multiple time scales system
• singular perturbation method
• stochastic modelling
• virtual reaction scheme