Fast regular firings induced by intra- and inter-time delays in two clustered neuronal networks

In this paper, we consider two clustered neuronal networks with dense intra-synaptic links within each cluster and sparse inter-synaptic links between them. We focus on the effects of intra- and inter-time delays on the spiking regularity and timing in both clusters. With the aid of simulation results, we show that intermediate intra- and inter-time delays are able to separately induce fast regular firing-spiking activity with a high firing rate as well as a high spiking regularity. Moreover, when both intra- and inter-time delays are present, we find that fast regular firings are induced much more frequently than if only a single type of delay is present in the system. Our results indicate that appropriately adjusted intra- and inter-time delays can significantly facilitate fast regular firing in neuronal networks. Based on a detailed analysis, we conjecture that this is most likely when the largest value of common divisors of the intra- and inter-time delays falls into a range where fast regular firings are induced by suitable intra-or inter-time delays alone. Published by AIP Publishing.

在本文中，我们考虑两个神经元集群网络，在每个集群内部具有密集的突触内连接，而它们之间具有稀疏的突触间连接。我们关注集群内和集群间的时间延迟对两个集群中脉冲发放的规律性和时间的影响。借助模拟结果，我们表明适中的集群内和集群间时间延迟能够分别诱导出具有高发放率以及高脉冲发放规律性的快速规则发放 - 脉冲活动。此外，当集群内和集群间时间延迟同时存在时，我们发现快速规则发放比系统中仅存在一种类型的延迟时更频繁地被诱导。我们的结果表明，适当调整集群内和集群间时间延迟能够显著促进神经元网络中的快速规则发放。基于详细分析，我们推测当集群内和集群间时间延迟的最大公约数的值处于仅由合适的集群内或集群间时间延迟就能诱导快速规则发放的范围内时，这种情况最有可能发生。由美国物理联合会出版社出版。