Text S1 - The Role of Multiple Marks in Epigenetic Silencing and the Emergence of a Stable Bivalent Chromatin State

We have relegated the mathematical details of the model in Text S1. Analytical solution of the model in the mean-field limit is presented therein, and the nature of the different phases is summarized. We also compare related models with fewer or more biochemical interactions (parameters) in order to establish that the interactions we have considered are minimal for the engineering design criteria of epigenetic silencing. We also elaborate on Sir perturbations and Sas2 perturbations and discuss the nature of bifurcations/crossovers observed in the phase space. (PDF)

我们将该模型的数学细节置于补充文本S1（Text S1）中。该部分给出了模型在平均场极限（mean-field limit）下的解析解，并总结了不同相态的本质特征。我们还对比了具有更少或更多生化相互作用（参数）的相关模型，以证明我们所考量的相互作用对于表观遗传沉默（epigenetic silencing）的工程设计标准而言是最简的。此外，我们详细阐述了Sir扰动与Sas2扰动，并讨论了在相空间中观测到的分岔/交叉点的本质。（PDF）