Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling

• 作者: Jinqiao Duan Xiaoli Chen
• 来源期刊: 应用数学与计算数学学报(英文)
• 学科: 数学
• 关键词: Mean exit time Escape probability Nonlocal Fokker-Planck equation Maximal likely trajectory Gene regulation Lévy noise
• 年，卷（期）: 2020,（2）
• 页码范围: 201-213
• 页数: 13页
• 分类号: O17

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 diferential system with non-Gaussianα-stable Lévy motions,to examine how the nonGaussianity index and noise intensity afect the gene transcription processes.