关联噪声作用下非线性神经元模型的相干共振  

Coherence Resonance in a Nonlinear Neuronal Model Driven by Correlated Noise

作　　者：刘志宏 周玉荣 张安英 庞小峰 

机构地区：[1]电子科技大学生命科学与技术学院 [2]成都信息工程学院电子工程学院 [3]攀枝花学院电气信息工程学院

出　　处：《航天医学与医学工程》2009年第6期443-447,共5页Space Medicine & Medical Engineering

基　　金：国家自然科学基金(30600127)

摘　　要：目的研究在非线性积分点火(NIF)模型中,关联的离子通道噪声和突触噪声共同作用所引起的相干共振现象。同时讨论了离子通道噪声强度、突触噪声强度和噪声关联强度对系统相干共振的影响。方法运用绝热近似理论和两态模型理论,得到了神经元首次点火概率分布和神经元放电峰峰间隔的变差系数的近似表达式。结果研究表明,首次点火概率分布和变差系数是突触噪声强度、离子通道噪声强度和两种噪声关联强度的函数。结论适当的噪声强度和噪声关联强度可以减小神经元发放峰峰间隔的变差系数,使系统的相干性达到最大值,从而引起神经元出现相干共振现象。Objective To investigate the phenomenon of coherence resonance （CR） in a nonlinear integrateand-fire neuronal model （NIF） induced with correlated voltage-gated channel noise and synaptic noise. Meanwhile, the effects of intensity of the voltage-gated channel noise, intensity of the synaptic noise and the strength of the correlation between noises on coherence resonance are discussed. Methods Based on the adiabatic approximation theory and the two-state theory, the approximate expressions of the probability distribution of neuron first fire （FPD） and the coefficient of variation （CV） of the inter-spike intervals of neuron discharging were obtained. Results It was shown that the FPD and the CV were the function of intensities of the voltage-gated channel noise,intensities of the synaptic noise and the strength of the correlation between noises. Conclusion By choosing appropriate the intensity of noise and the strength of the correlation between noises, the minimum of the CV can he obtained, to make the maximum coherence of system and the phenomenon of eoherenee resonanee will orient.

关 键 词：相干共振 关联噪声 变差系数 神经元模型 

分 类 号：R319[医药卫生—基础医学]