Recent mathematical results for the noisy Kuramoto model on a 2-community network may explain some phenomena observed in the functioning of the suprachiasmatic nucleus (SCN). Specifically, these findings might explain the types of transitions to a state of the SCN in which 2 components are dissociated in phase, for example, in phase splitting. In contrast to previous studies, which required additional time-delayed coupling or large variation in the coupling strengths and other variations in the 2-community model to exhibit the phase-split state, this model requires only the 2-community structure of the SCN to be present. Our model shows that a change in the communication strengths within and between the communities due to external conditions, which changes the excitation-inhibition (E/I) balance of the SCN, may result in the SCN entering an unstable state. With this altered E/I balance, the SCN would try to find a new stable state, which might in some circumstances be the split state. This shows that the 2-community noisy Kuramoto model can help understand the mechanisms of the SCN and explain differences in behavior based on actual E/I balance.

中文翻译：

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两社区嘈杂的仓本模型表明在视交叉上核分裂的机制。

最近在2社区网络上对有噪声的Kuramoto模型进行数学运算的结果可能解释了在视交叉上核（SCN）的功能中观察到的某些现象。具体而言，这些发现可能解释了向SCN状态过渡的类型，在该状态中2个组分在相中（例如，在相分离中）解离。与以前的研究相反，后者需要额外的延时耦合或耦合强度的较大变化以及2社区模型中的其他变化以显示相分离状态，该模型仅需要SCN的2社区结构即可。出席。我们的模型显示，由于外部条件，社区内部和社区之间的交流强度发生了变化，从而改变了SCN的激发抑制（E / I）平衡，可能导致SCN进入不稳定状态。由于E / I平衡发生了变化，SCN会尝试找到一个新的稳定状态，在某些情况下可能是分裂状态。这表明2社区嘈杂的Kuramoto模型可以帮助理解SCN的机制，并根据实际的E / I平衡解释行为差异。