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摘要: 研究了关联的加性离子通道噪声和乘性突触噪声共同作用下非线性积分发放神经元模型中的相干共振现象.运用绝热近似理论和统一色噪声近似方法，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.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、乘性色噪声自相关时间和噪声关联强度的函数，适当的噪声强度、噪声自相关时间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.同时讨论了离子通道噪声强度、突触噪声强度、乘性色噪声自相关时间和噪声关联强度对系统相干共振的影响.
Abstract: The phenomenon of coherence resonance in a nonlinear integrate-and-fire neuronal model subject to correlated multiplicative synaptic and additive voltage-gated channel noise are investigated. Based on the adiabatic approximation theory and the unified colored approximation method，the analytic expression of the probability distribution of the first fire （FPD） and the coefficient of variation （CV） of the inter-spike interval of firing are obtained. It is shown that the FPD and the CV are functions of the intensity of the multiplication synaptic colored noise，the additive voltage-gated channel white noise，the correlation time of multiplicative noise and the strength of the correlation between noises. By choosing appropriate noise parameters，the phenomenon of coherence resonance can occur. Meanwhile，the effects of intensity of the multiplication synaptic noise，the additive voltage-gated channel noise，the correlation time of multiplicative noise and the strength of the correlation between noises on coherence resonance are discussed.
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