Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling

被引：2

作者：

Chen, Xiaoli ^{[1
,2
]}

Duan, Jinqiao ^{[3
]}

机构：

[1] Huazhong Univ Sci & Technol, Ctr Math Sci, Wuhan 430074, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China

[3] IIT, Dept Appl Math, Chicago, IL 60616 USA

来源：

COMMUNICATIONS ON APPLIED MATHEMATICS AND COMPUTATION | 2020年 / 2卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Mean exit time; Escape probability; Nonlocal Fokker-Planck equation; Maximal likely trajectory; Gene regulation; Levy noise; EFFICIENT IMPLEMENTATION; PROBABLE DYNAMICS; SPORULATION; COMPETENCE; TIME;

D O I：

10.1007/s42967-019-00046-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 alpha -stable Levy motions, to examine how the non-Gaussianity index and noise intensity affect the gene transcription processes.

引用

页码：201 / 213

页数：13

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