Gene expression dynamics in randomly varying environments

Gene expression dynamics in randomly varying environments
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随机变化环境中的基因表达动态

DOI:
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发表时间:
2010
影响因子:
1.9
通讯作者:
S. Proulx
S. Proulx
中科院分区:
数学4区
文献类型:
--
作者:
M. Smiley;S. Proulx

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建立并分析了一个对随机变化的环境条件作出反应的基因调控的简单模型。该模型由一个由连续时间两状态马尔可夫过程驱动的微分方程组成。由此产生的过程的密度函数收敛于贝塔分布。我们证明了这些矩在时间上以指数方式收敛到它们的稳定值。还给出了蛋白质生产取决于mRNA浓度的两阶段过程的模拟,表明当蛋白质周转率大于环境变化率时,蛋白质浓度跟踪环境。因此,预计单细胞生物体对环境波动做出反应的基因的信使核糖核酸和蛋白质周转率相对较高。
A simple model of gene regulation in response to stochastically changing environmental conditions is developed and analyzed. The model consists of a differential equation driven by a continuous time 2-state Markov process. The density function of the resulting process converges to a beta distribution. We show that the moments converge to their stationary values exponentially in time. Simulations of a two-stage process where protein production depends on mRNA concentrations are also presented demonstrating that protein concentration tracks the environment whenever the rate of protein turnover is larger than the rate of environmental change. Single-celled organisms are therefore expected to have relatively high mRNA and protein turnover rates for genes that respond to environmental fluctuations.
DOI: 10.1073/pnas.95.26.15641
发表时间: 1998-12-22
影响因子: 11.1
作者:
Cook, DL;Gerber, LN;Tapscott, SJ
通讯作者: Tapscott, SJ