Bistability, probability transition rate and first-passage time in an autoactivating positive-feedback loop.
Bistability, probability transition rate and first-passage time in an autoactivating positive-feedback loop.
复制标题
DOI：
10.1371/journal.pone.0017104
复制
发表时间：
2011-03-21
期刊：
影响因子：
3.7
通讯作者：
Tao Y
中科院分区：
文献类型：
--
作者：
Zheng XD;Yang XQ;Tao Y
正反馈调节的一个特征是双稳，它产生具有高和低表达水平的不同细胞状态，并且基因表达的随机性可以导致两种状态之间的随机转换，从而产生双峰种群分布(Kairn等，2005，NAT Rev Genet 6：451-464)。本文研究了双稳自激活正反馈环路的概率跃迁速率和首次通过时间，其中基因表达同时受到加性和乘性外部噪声的干扰，随机基因表达的双峰性是由双稳引起的，双稳决定了Fokker-Planck方程的势有两个势井。我们的主要目标是阐明最大转录速率、加性噪声和乘性噪声的强度以及加性噪声和乘性噪声的相关性如何影响概率转移率和首次通过时间。我们的主要结果表明：(I)最大转录速率的增加将有助于维持较高的基因表达水平；(Ii)随着加性噪声强度的增加，从一个势井到另一个势井的几率将增加；(Iii)乘性噪声强度的增加将增加左势井中的概率；以及(Iv)加性噪声和乘性噪声之间的正(或负)互相关将增加左(或右)势井中的概率量。
A hallmark of positive-feedback regulation is bistability, which gives rise to distinct cellular states with high and low expression levels, and that stochasticity in gene expression can cause random transitions between two states, yielding bimodal population distribution (Kaern et al., 2005, Nat Rev Genet 6: 451-464). In this paper, the probability transition rate and first-passage time in an autoactivating positive-feedback loop with bistability are investigated, where the gene expression is assumed to be disturbed by both additive and multiplicative external noises, the bimodality in the stochastic gene expression is due to the bistability, and the bistability determines that the potential of the Fokker-Planck equation has two potential wells. Our main goal is to illustrate how the probability transition rate and first-passage time are affected by the maximum transcriptional rate, the intensities of additive and multiplicative noises, and the correlation of additive and multiplicative noises. Our main results show that (i) the increase of the maximum transcription rate will be useful for maintaining a high gene expression level; (ii) the probability transition rate from one potential well to the other one will increase with the increase of the intensity of additive noise; (iii) the increase of multiplicative noise strength will increase the amount of probability in the left potential well; and (iv) positive (or negative) cross-correlation between additive and multiplicative noises will increase the amount of probability in the left (or right) potential well.
登录
查看更多内容
影响因子：
21.3
作者：
Pomerening, JR;Sontag, ED;Ferrell, JE
通讯作者：
Ferrell, JE
DOI：
10.1073/pnas.040411297
发表时间：
2000-02-29
影响因子：
11.1
作者：
Hasty, J;Pradines, J;Collins, JJ
通讯作者：
Collins, JJ
影响因子：
7
作者：
Elf, J;Ehrenberg, M
通讯作者：
Ehrenberg, M
影响因子：
64.8
作者：
Ozbudak, EM;Thattai, M;van Oudenaarden, A
通讯作者：
van Oudenaarden, A
DOI：
10.1073/pnas.092133899
发表时间：
2002-04-30
影响因子：
11.1
作者：
Vilar, JMG;Kueh, HY;Leibler, S
通讯作者：
Leibler, S