Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling

摘要

The aim of this article is to review our recent work on nonlocal dynamics of non-Gaussian systems arising in a gene regulatory network.We have used the mean exit time,escape probability and maximal likely trajectory to quantify dynamical behaviors of a stochastic differential system with non-Gaussian α-stable Lévy motions,to examine how the nonGaussianity index and noise intensity affect the gene transcription processes.