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Two-Community Noisy Kuramoto Model Suggests Mechanism for Splitting in the Suprachiasmatic Nucleus.
Journal of Biological Rhythms ( IF 2.9 ) Pub Date : 2020-01-23 , DOI: 10.1177/0748730419898314
Jos H T Rohling 1 , Janusz M Meylahn 2
Affiliation  

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:

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。
更新日期:2020-04-21
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