组蛋白动力学的量子自旋方法
A quantum spin approach to histone dynamics
摘要：
组蛋白的翻译后修饰是表观遗传控制中的重要因素，其取决于组蛋白的特定修饰状态而用于调节转录。我们研究组蛋白的蛋白质状态的随机动力学，考虑到修改后的核小体招募扩散到相邻的核小体的酶的反馈机制。我们将系统映射到一个量子自旋系统，其动力学是由一个非厄米哈密顿产生的。将解作为张量积态进行分析，得到描述系统动力学的非线性偏微分方程。多个稳定的组蛋白状态出现在一个参数制度，其大小随着修饰位点的数量增加而增加。我们讨论的空间依赖性的作用，我们认为空间异质性的酶活性的影响。最后，我们考虑多稳定性的几种类型的相关翻译后修饰的模型。
英文摘要：
Post-translational modifications of histone proteins are an important factor in epigenetic control that serve to regulate transcription, depending on the particular modification states of the histone proteins. We study the stochastic dynamics of histone protein states, taking into account a feedback mechanism where modified nucleosomes recruit enzymes that diffuse to adjacent nucleosomes. We map the system onto a quantum spin system whose dynamics is generated by a non-Hermitian Hamiltonian. Making an ansatz for the solution as a tensor product state leads to nonlinear partial differential equations that describe the dynamics of the system. Multiple stable histone states appear in a parameter regime whose size increases with increasing number of modification sites. We discuss the role of the spatial dependance, and we consider the effects of spatially heterogeneous enzymatic activity. Finally, we consider multistability in a model of several types of correlated post-translational modifications.
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