Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling

doi:10.1007/s42967-019-00046-5

Communications on Applied Mathematics and Computation ›› 2020, Vol. 2 ›› Issue (2): 201-213.doi: 10.1007/s42967-019-00046-5

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Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling

Xiaoli Chen¹, Jinqiao Duan²

1 Center for Mathematical Sciences and School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China;
2 Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA

Received:2019-01-24 Revised:2019-07-02 Online:2020-06-20 Published:2020-02-19
Contact: Jinqiao Duan, Xiaoli Chen E-mail:duan@iit.edu;xlchen@hust.edu.cn

Abstract

Abstract: 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-Gaussian α-stable Lévy motions, to examine how the nonGaussianity index and noise intensity afect the gene transcription processes.

Key words: Mean exit time, Escape probability, Nonlocal Fokker-Planck equation, Maximal likely trajectory, Gene regulation, Lévy noise

Xiaoli Chen, Jinqiao Duan. Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling[J]. Communications on Applied Mathematics and Computation, 2020, 2(2): 201-213.

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Nonlocal Dynamics for Non-Gaussian Systems Arising in Biophysical Modeling

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