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Chin. Phys. B, 2012, Vol. 21(10): 108701    DOI: 10.1088/1674-1056/21/10/108701

Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks

Zhang Zheng-Zhen, Zeng Shang-You, Tang Wen-Yan, Hu Jin-Lin, Zeng Shao-Wen, Ning Wei-Lian, Qiu Yi, Wu Hui-Si
College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China
Abstract  In this paper, we study spiking synchronization in three different types of Hodgkin-Huxley neuronal networks, which are the small-world, regular, and random neuronal networks. All the neurons are subjected to subthreshold stimulus and external noise. It is found that in each of all the neuronal networks there is an optimal strength of noise to induce the maximal spiking synchronization. We further demonstrate that in each of the neuronal networks there is a range of synaptic conductance to induce the effect that an optimal strength of noise maximizes the spiking synchronization. Only when the magnitude of the synaptic conductance is moderate, will the effect be considerable. However, if the synaptic conductance is small or large, the effect vanishes. As the connections between neurons increase, the synaptic conductance to maximize the effect decreases. Therefore, we show quantitatively that the noise-induced maximal synchronization in the Hodgkin-Huxley neuronal network is a general effect, regardless of the specific type of neuronal network.
Keywords:  spiking synchronization      neuronal network      noise  
Received:  03 December 2011      Revised:  03 May 2012      Published:  01 September 2012
PACS:  87.19.lm (Synchronization in the nervous system)  
  87.19.L- (Neuroscience)  
  87.19.lj (Neuronal network dynamics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 11065003), the Natural Science Foundation of Guangxi Zhuang Autonomous Region, China (Grant No. 2011GXNSFA018129), and the Research Funding of Guangxi Provincial Education Department, China (Grant No. 201012MS026).
Corresponding Authors:  Zeng Shang-You     E-mail:

Cite this article: 

Zhang Zheng-Zhen, Zeng Shang-You, Tang Wen-Yan, Hu Jin-Lin, Zeng Shao-Wen, Ning Wei-Lian, Qiu Yi, Wu Hui-Si Spiking sychronization regulated by noise in three types of Hodgkin–Huxley neuronal networks 2012 Chin. Phys. B 21 108701

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