Reducing gene regulatory networks by decomposition

This paper deals with the theoretical framework derived for gene regulatory networks with stochasticity. We exploit the fast-slow dynamics of biological systems to reduce the dimensionality, and take advantage of special interaction structure of fast-slow variables to simplify the mathematical model, which significantly reduce the complexity of gene networks. The numerical simulation also confirmed the effectiveness of our method, which can be applied to a large-scale quantitative simulation of cellular dynamics.