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arXiv 2003.08576q-bio.MN
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基因转换的随机表观遗传动力学

Stochastic epigenetic dynamics of gene switching

Bhaswati Bhattacharyya, Jin Wang, Masaki Sasai

摘要:

组蛋白的表观遗传修饰对真核生物基因的活性有重要影响,而表观遗传组蛋白的状态在很大程度上取决于特定因子如转录因子(TF)与DNA的结合。这里,当TF合成受组蛋白状态调节时,TF和组蛋白状态如何动态相关的方式并不明显。这种类型的反馈调节关系在基因网络中普遍存在,以决定分化和其他细胞转化中的细胞命运。为了深入了解这样的动态反馈调节,我们从理论上分析了表观遗传基因开关的模型,通过扩展的Doi-Peliti算子形式主义的反应动力学耦合的分子过程的问题。引入自旋1和自旋1/2相干态表象,统一描述了组蛋白的随机反应和TF的结合/解结合过程,从而提供了时间尺度差异对这些分子过程的影响的简明视图;即使在TF与DNA结合/从DNA上脱离的结合是快速的情况下,缓慢的非绝热组蛋白动力学在基因状态分布的景观中引起围绕盆地的概率通量的明显循环流动,这导致基因转换的滞后。与一般认为TF量的变化先于组蛋白状态变化相反,通量驱动组蛋白在自调节回路中TF量的变化之前被修饰。通量景观分析揭示了表观遗传细胞命运决策的非线性非绝热机制。

英文摘要:

Epigenetic modifications of histones crucially affect the eukaryotic gene activity, while the epigenetic histone state is largely determined by the binding of specific factors such as the transcription factors (TFs) to DNA. Here, the way how the TFs and the histone state are dynamically correlated is not obvious when the TF synthesis is regulated by the histone state. This type of feedback regulatory relations are ubiquitous in gene networks to determine cell fate in differentiation and other cell transformations. To gain insights into such dynamical feedback regulations, we theoretically analyze a model of epigenetic gene switching by extending the Doi-Peliti operator formalism of reaction kinetics to the problem of coupled molecular processes. The spin-1 and spin-1/2 coherent state representations are introduced to describe stochastic reactions of histones and binding/unbinding of TF in a unified way, which provides a concise view of the effects of timescale difference among these molecular processes; even in the case that binding/unbinding of TF to/from DNA are adiabatically fast, the slow nonadiabatic histone dynamics give rise to a distinct circular flow of the probability flux around basins in the landscape of the gene state distribution, which leads to hysteresis in gene switching. In contrast to the general belief that the change in the amount of TF precedes the histone state change, the flux drives histones to be modified prior to the change in the amount of TF in the self-regulating circuits. The flux-landscape analyses shed light on the nonlinear nonadiabatic mechanism of epigenetic cell fate decision making.

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