中国物理B ›› 2008, Vol. 17 ›› Issue (6): 2297-2303.doi: 10.1088/1674-1056/17/6/061

• 8000 CROSSDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

The synchronization of FitzHugh--Nagumo neuron network coupled by gap junction

展永, 张素花, 赵同军, 安海龙, 张振东, 韩英荣, 柳辉, 张玉红   

  1. School of Sciences, Hebei University of Technology, Tianjin 300130, China
  • 收稿日期:2006-08-23 修回日期:2008-01-08 出版日期:2008-06-20 发布日期:2008-06-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10645006 and 10747123) and the Natural Science Foundation of Hebei Province (Grant Nos C2005000011and C2007000026) and the Key Subject Construction Project of Hebei Provincia

The synchronization of FitzHugh--Nagumo neuron network coupled by gap junction

Zhan Yong(展永), Zhang Su-Hua(张素花)†, Zhao Tong-Jun(赵同军), An Hai-Long(安海龙), Zhang Zhen-Dong(张振东), Han Ying-Rong(韩英荣), Liu Hui(柳辉), and Zhang Yu-Hong(张玉红)   

  1. School of Sciences, Hebei University of Technology, Tianjin 300130, China
  • Received:2006-08-23 Revised:2008-01-08 Online:2008-06-20 Published:2008-06-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10645006 and 10747123) and the Natural Science Foundation of Hebei Province (Grant Nos C2005000011and C2007000026) and the Key Subject Construction Project of Hebei Provincia

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摘要： It is well known that the strong coupling can synchronize a network of nonlinear oscillators. Synchronization provides the basis of the remarkable computational performance of the brain. In this paper the FitzHugh--Nagumo neuron network is constructed. The dependence of the synchronization on the coupling strength, the noise intensity and the size of the neuron network has been discussed. The results indicate that the coupling among neurons works to improve the synchronization, and noise increases the neuron random dynamics and the local fluctuations; the larger the size of network, the worse the synchronization. The dependence of the synchronization on the strength of the electric synapse coupling and chemical synapse coupling has also been discussed, which proves that electric synapse coupling can enhance the synchronization of the neuron network largely.

Abstract: It is well known that the strong coupling can synchronize a network of nonlinear oscillators. Synchronization provides the basis of the remarkable computational performance of the brain. In this paper the FitzHugh--Nagumo neuron network is constructed. The dependence of the synchronization on the coupling strength, the noise intensity and the size of the neuron network has been discussed. The results indicate that the coupling among neurons works to improve the synchronization, and noise increases the neuron random dynamics and the local fluctuations; the larger the size of network, the worse the synchronization. The dependence of the synchronization on the strength of the electric synapse coupling and chemical synapse coupling has also been discussed, which proves that electric synapse coupling can enhance the synchronization of the neuron network largely.

Key words: synchronization, gap junction, FitzHugh--Nagumo model

中图分类号:  (Neural networks and synaptic communication)

  • 87.18.Sn
87.10.-e (General theory and mathematical aspects) 87.19.L- (Neuroscience)