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arXiv 0910.4468q-bio.MNphysics.bio-ph
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基因调控网络中高斯有色噪声的涨落

Fluctuations in Gene Regulatory Networks as Gaussian Colored Noise

Ming-Chang Huang, Jinn-Wen Wu, Yu-Pin Luo, Karen G. Petrosyan

摘要:

将对基因调控网络波动的研究推广到高斯色噪声的情况。首先,相应的兰之万方程的色噪声的解决方案表示的Ito积分。然后,两个重要的引理有关的Ito积分的方差和两个Ito积分的协方差。在引理的基础上,我们给出了调控网络在稳定平衡点附近分子浓度的方差和协方差的一般公式。并以基因自动调控网络和拨动开关为例进行了详细介绍。在一般情况下,它被发现,有限的相关时间的噪音减少的波动和增强的相关性之间的波动的分子组分。

英文摘要:

The study of fluctuations in gene regulatory networks is extended to the case of Gaussian colored noise. Firstly, the solution of the corresponding Langevin equation with colored noise is expressed in terms of an Ito integral. Then, two important lemmas concerning the variance of an Ito integral and the covariance of two Ito integrals are shown. Based on the lemmas, we give the general formulae for the variances and covariance of molecular concentrations for a regulatory network near a stable equilibrium explicitly. Two examples, the gene auto-regulatory network and the toggle switch, are presented in details. In general, it is found that the finite correlation time of noise reduces the fluctuations and enhances the correlation between the fluctuations of the molecular components.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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