Effects of distance-dependent delay on small-world neuronal networks
Effects of distance-dependent delay on small-world neuronal networks
复制标题
距离相关延迟对小世界神经元网络的影响
DOI：
10.1103/physreve.93.042417
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发表时间：
2016
影响因子：
2.4
通讯作者：
Liu Xianbin
中科院分区：
文献类型：
--
作者：
Zhu Jinjie;Chen Zhen;Liu Xianbin
我们研究具有电突触和信息传输延迟的小世界噪声神经元网络中的放电行为及其之间的转变。每个神经元由一个二维Rulkov映射神经元建模。神经元之间的距离是时延的一个主要来源，它被考虑在内。通过时空模式和峰间期以及爆发间期，揭示了集体行为。研究发现，在高斯噪声激励下，神经网络从静止状态转变为间歇性放电状态。最初，噪声引起的点火行为受到小时间延迟的干扰。随着延迟时间的增加，出现了不规则锯齿形的周期性点火行为，超过一个临界值后，点火行为逐渐变得规则。更有趣的是，根据规则模式，与前一阶段相比，尖峰发放神经元网络的尖峰发放频率增加了一倍。频率的增长持续一个更大的延迟和过渡到反相同步观察。此外，证明了这些转换也是一般的爆裂神经元网络和FitzHugh-Nagumo神经元网络。我们表明，这些过渡由于时间延迟的增加是强大的噪声强度，耦合强度，网络的大小，和重新布线的概率。
We study firing behaviors and the transitions among them in small-world noisy neuronal networks with electrical synapses and information transmission delay. Each neuron is modeled by a two-dimensional Rulkov map neuron. The distance between neurons, which is a main source of the time delay, is taken into consideration. Through spatiotemporal patterns and interspike intervals as well as the interburst intervals, the collective behaviors are revealed. It is found that the networks switch from resting state into intermittent firing state under Gaussian noise excitation. Initially, noise-induced firing behaviors are disturbed by small time delays. Periodic firing behaviors with irregular zigzag patterns emerge with an increase of the delay and become progressively regular after a critical value is exceeded. More interestingly, in accordance with regular patterns, the spiking frequency doubles compared with the former stage for the spiking neuronal network. A growth of frequency persists for a larger delay and a transition to antiphase synchronization is observed. Furthermore, it is proved that these transitions are generic also for the bursting neuronal network and the FitzHugh-Nagumo neuronal network. We show these transitions due to the increase of time delay are robust to the noise strength, coupling strength, network size, and rewiring probability.