Type of noise defines global attractors in bistable molecular regulatory systems.
Type of noise defines global attractors in bistable molecular regulatory systems.
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DOI：
10.1016/j.jtbi.2012.10.004
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发表时间：
2013-01-21
影响因子：
2
通讯作者：
Lipniacki, Tomasz
中科院分区：
文献类型：
--
作者：
Jaruszewicz, Joanna;Zuk, Pawel J.;Lipniacki, Tomasz
本研究的目的是证明在具有潜在的双稳定性或多稳定性的分子动力系统中，噪声的类型决定了最强烈的吸引稳态或随机吸引子。作为一个例子，我们考虑了一个简单的具有非线性正反馈的自调节基因随机模型，该模型在确定性近似下有两个稳定的稳态解。考虑了三种类型的噪声：转录和翻译噪声-由于基因产物分子的数量较少，以及基因开关噪声-由于基因激活和失活的转变。我们证明，除了噪声大小外，噪声的类型决定了两个稳定稳态之间概率质量的分配。特别是，我们发现，当基因开关噪声占主导地位时转录和翻译噪声（这是真核生物的特征），基因优先激活，而在相反的情况下，当转录噪声占主导地位时（这是原核生物的特征），基因优先保持不活跃。此外，即使在零噪声极限下，当概率质量一般集中在两个稳态之一附近时，对最强烈吸引的稳态的选择与噪声类型有关。虽然表观遗传吸引子是借助于随机调节过程的确定性近似来定义的，但它们的相对吸引性除了受噪声大小的影响外，还受噪声类型的控制。由于噪声特征在细胞周期和发育过程中变化，这种调节模式可能被细胞潜在地用于在不同的表观遗传吸引子之间切换。
The aim of this study is to demonstrate that in molecular dynamical systems with the underlying bi- or multistability, the type of noise determines the most strongly attracting steady state or stochastic attractor. As an example we consider a simple stochastic model of autoregulatory gene with a nonlinear positive feedback, which in the deterministic approximation has two stable steady state solutions. Three types of noise are considered: transcriptional and translational – due to the small number of gene product molecules and the gene switching noise – due to gene activation and inactivation transitions. We demonstrate that the type of noise in addition to the noise magnitude dictates the allocation of probability mass between the two stable steady states. In particular, we found that when the gene switching noise dominates over the transcriptional and translational noise (which is characteristic of eukaryotes), the gene preferentially activates, while in the opposite case, when the transcriptional noise dominates (which is characteristic of prokaryotes) the gene preferentially remains inactive. Moreover, even in the zero-noise limit, when the probability mass generically concentrates in the vicinity of one of two steady states, the choice of the most strongly attracting steady state is noise type-dependent. Although the epigenetic attractors are defined with the aid of the deterministic approximation of the stochastic regulatory process, their relative attractivity is controlled by the type of noise, in addition to noise magnitude. Since noise characteristics vary during the cell cycle and development, such mode of regulation can be potentially employed by cells to switch between alternative epigenetic attractors.
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影响因子：
3.7
作者：
Cohen AA;Kalisky T;Mayo A;Geva-Zatorsky N;Danon T;Issaeva I;Kopito RB;Perzov N;Milo R;Sigal A;Alon U
通讯作者：
Alon U
影响因子：
30.8
作者：
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通讯作者：
van Oudenaarden, A
DOI：
10.1073/pnas.040411297
发表时间：
2000-02-29
影响因子：
11.1
作者：
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通讯作者：
Collins, JJ
影响因子：
3.7
作者：
Frigola D;Casanellas L;Sancho JM;Ibañes M
通讯作者：
Ibañes M
DOI：
10.1016/j.jmaa.2006.11.043
发表时间：
2007-09-15
影响因子：
1.3
作者：
Bobrowski, Adam;Lipniacki, Tomasz;Rudnicki, Ryszard
通讯作者：
Rudnicki, Ryszard