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[非线性神经元模型的相干共振]

[Coherence resonance of a nonlinear neuron model].

作者信息

Liu Zhihong, Zhou Yurong, Pang Xiaofeng

机构信息

School of Life Science and Technology, UESTC, Chengdu 610054, China.

出版信息

Sheng Wu Yi Xue Gong Cheng Xue Za Zhi. 2009 Oct;26(5):1119-23.

Abstract

Based on a nonlinear neuron model, the Poisson noise is used to imitate the noisy environments of neurons, and, further, the phenomenon of coherence resonance (CR) of a nonlinear neuron model subject to a voltage-gated channel noise and a random point trains synaptic noise is investigated. Based on the fractional noise theory and Euler schemes, the evolution of the membrane potential and the coefficient of variation (CV) of the interval-spike-interval of the neuron firing have been obtained. It is shown that, in the absence of external periodic signal, such CV can be decreased at a certain intensity of neurotransmitter arrivals trains lambda and a proper strength of the voltage-gated channel noise D, so that the coherence of the system is maximal and the phenomenon of CR can take place.

摘要

基于非线性神经元模型,利用泊松噪声来模拟神经元的噪声环境,进而研究了受电压门控通道噪声和随机点序列突触噪声作用的非线性神经元模型的相干共振(CR)现象。基于分数噪声理论和欧拉格式,得到了神经元放电的膜电位演化和峰峰间隔变异系数(CV)。结果表明,在无外部周期信号的情况下,当神经递质到达序列的强度λ达到一定值且电压门控通道噪声强度D合适时,CV可以减小,从而使系统的相干性达到最大,出现CR现象。

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