局部扩散功能缺陷对随机神经元网络时空斑图的影响
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国家自然科学基金资助项目(10972179,10872155,10602003)


The effect of local defect without diffusion function on spatiotemporal patterns of random neural network
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    摘要:

    采用Hodgkin-Huxley神经元模型,在二维随机神经网络中引入局部扩散功能缺陷,研究了神经网络中非对称缺陷附近的方形失去扩散功能的缺陷对螺旋波动力学行为的影响.缺陷使螺旋波降低传播速度的行为与缺陷的位置和尺寸有关:靠近螺旋波中心的缺陷影响最为显著,当缺陷远离中心位置时,缺陷的作用明显减弱;缺陷尺寸越大,影响也越显著.同时观察到,在弱耦合神经网络中,缺陷的存在导致了螺旋波的漂移现象.进一步研究缺陷和通道噪声同时存在时系统时空斑图的演化行为,结果发现,噪声作用下缺陷处形成了新的波源.最后,通过分析神经元

    Abstract:

    The effects of the position and size of local defects without diffusion function on patterns of twodimensional random neural network were investigated by using the HodgkinHuxley model. The result shows that the spiral wave becomes more scattered when the size of defect gets bigger, significantly near to the center of the spiral waves, which means the defect impact is correlated with the defect size positively. Furthermore, it is found that the drift phenomenon of spiral wave is induced by defect in weakly coupled neural network. Study on the behavior of spatiotemporal patterns with the coexistence of channel noise and defect shows that the new wave source is made by the effect of noise. Finally, the physical mechanisms for these phenomena were briefly discussed by analyzing the discharge frequency and the mean membrane voltage of neurons.

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刘少宝,吴莹,郝忠文,李银军,贾宁.局部扩散功能缺陷对随机神经元网络时空斑图的影响[J].动力学与控制学报,2012,10(1):81~87; Liu Shaobao, Wu Ying, Hao Zhongwen, Li Yinjun, Jia Ning. The effect of local defect without diffusion function on spatiotemporal patterns of random neural network[J]. Journal of Dynamics and Control,2012,10(1):81-87.

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  • 收稿日期:2011-09-28
  • 最后修改日期:2011-11-03
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  • 在线发布日期: 2012-03-06
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