非高斯噪声激励下的基因转录调控系统  

A GENETIC REGULATORY MODEL WITH A KIND OF NON-GAUSSIAN NOISE

作　　者：冯晶[1] 许勇[1] 李娟娟[1] 

机构地区：[1]西北工业大学应用数学系,西安710012

出　　处：《动力学与控制学报》2012年第4期325-328,共4页Journal of Dynamics and Control

基　　金：国家自然科学基金(10972181;11102157);新世纪优秀人才支持计划;陕西省青年科技新星;西北工业大学基础研究基金资助项目~~

摘　　要：考虑生物生长过程中受到的不可预知的跳跃性的环境扰动,运用一类非高斯噪声建立了随机的基因转录调控系统. 利用 Monte Carlo 法得到了系统的稳态概率密度函数,研究了非高斯噪声的各个参数对蛋白质浓度的影响,发现噪声强度不能够诱导基因开关,而稳定性指标和偏斜参数能够作为基因开关的控制参量. 进一步研究了非高斯噪声作用下系统从一个态跃迁到另一个态的平均首通时间(MFPT) ,并讨论了各个参数不同的作用机理.This paper investigated a stochastic gene transcriptional considered to be a kind of non-Gaussian noise with a long tail. The regulatory system, in which the noise was role of the parameters of this non-Gaussian noise in the switching was considered with the stationary probability density. It has been found that noise intensity can not induce a switch, however, stability index and skewness parameter can be taken as the control parameters of gene switch. Additionally, the effects of the parameters on the transition property of the system, defined as the mean first passage time, were also studied.

关 键 词：非高斯噪声 基因转录调控系统 稳态概率密度 平均首通时间 

分 类 号：Q75[生物学—分子生物学]