Abstract

Both time delay and coupling form are the most important factors in neural networks. The properties of firing rate oscillation and cluster synchronization induced by time delay are studied in random network of different coupling neurons. In previous work, the firing rate oscillation of cortical network was observed at the presence of three factors (time delay, weak sinusoidal signal, and noise). Here, we found that the firing rate oscillation can be induced only by the time delay, and the spike train can be propagated at a certain interval time, which is consistent with the value of delay time. Furthermore, the phenomenon of cluster synchronization occurs in random network, which may originates from network structure, and this connection between the neurons trigger spikes within a time-restricted window, resulting in cluster synchronization between corresponding neurons. These numerical results provide a potential theoretical basis for certain pathological brain rhythms associated with epileptic seizures.

Graphical abstract

中文翻译：

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自适应指数积分生火神经系统随机网络中时延引起的簇同步和发射速率振荡

摘要

时间延迟和耦合形式都是神经网络中最重要的因素。在不同耦合神经元的随机网络中研究了时延引起的发射速率振荡和簇同步的特性。在以前的工作中，在存在三个因素（时间延迟，弱正弦信号和噪声）的情况下，观察到了皮质网络的发射速率振荡。在这里，我们发现点火速率振荡只能由时间延迟引起，并且尖峰序列可以在一定的间隔时间传播，这与延迟时间的值一致。此外，丛集同步现象会发生在随机网路中，而这种现象可能是由网路结构所引起，而神经元之间的这种连结会在时间限制窗口内触发尖峰，导致相应神经元之间的簇同步。这些数值结果为与癫痫发作相关的某些病理性脑节律提供了潜在的理论基础。

图形概要