Levy noise induced switch in the gene transcriptional regulatory system

Levy noise induced switch in the gene transcriptional regulatory system
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Levy噪声诱导基因转录调控系统的开关

DOI:
10.1063/1.4775758
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发表时间:
2013-03-01
期刊:
影响因子:
2.9
通讯作者:
Zhang, Huiqing
Zhang, Huiqing
中科院分区:
数学2区
文献类型:
--
作者:
Xu, Yong;Feng, Jing;Zhang, Huiqing

文献摘要

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将基因转录调控系统中随机波动的研究扩展到非高斯Levy噪声的情况,该噪声可以描述随机环境中不可预测的跳跃变化。本文给出了Levy噪声在基因转录调控系统中的稳态概率密度,探讨了Levy噪声在基因转录调控系统中的关键作用。结果表明,Levy噪声的参数,包括噪声强度,稳定性指数和偏度参数,可以诱导不同的基因表达状态之间的切换。另一个问题是转换时间(从高浓度状态到低浓度状态或从低浓度状态到高浓度状态),它是一个随机变量,通常被称为平均第一通过时间。通过计算两个方向上的平均首次通过时间,研究了Levy噪声对表达式和退化时间的影响,并观察到非高斯Levy噪声与高斯噪声的一些不同特性。(C)2013年美国物理学会。[http://dx.doi.org/10.1063/1.4775758]
The study of random fluctuations in a gene transcriptional regulatory system is extended to the case of non-Gaussian Levy noise, which can describe unpredictable jump changes of the random environment. The stationary probability densities are given to explore the key roles of Levy noise in a gene transcriptional regulatory system. The results demonstrate that the parameters of Levy noise, including noise intensity, stability index, and skewness parameter, can induce switches between distinct gene-expression states. A further concern is the switching time (from the high concentration state to the low concentration one or from the low concentration state to the high concentration one), which is a random variable and often referred to as the mean first passage time. The effects of Levy noise on expression and degradation time are studied by computing the mean first passage time in two directions and a number of different peculiarities of non-Gaussian Levy noise compared with Gaussian noise are observed. (C) 2013 American Institute of Physics. [http://dx.doi.org/10.1063/1.4775758]