Mankin Romi, Rekker Astrid
School of Natural Sciences and Health, Tallinn University, 29 Narva Road, 10120 Tallinn, Estonia.
Phys Rev E. 2016 Dec;94(6-1):062103. doi: 10.1103/PhysRevE.94.062103. Epub 2016 Dec 1.
The output interspike interval statistics of a stochastic perfect integrate-and-fire neuron model driven by an additive exogenous periodic stimulus is considered. The effect of temporally correlated random activity of synaptic inputs is modeled by an additive symmetric dichotomous noise. Using a first-passage-time formulation, exact expressions for the output interspike interval density and for the serial correlation coefficient are derived in the nonsteady regime, and their dependence on input parameters (e.g., the noise correlation time and amplitude as well as the frequency of an input current) is analyzed. It is shown that an interplay of a periodic forcing and colored noise can cause a variety of nonequilibrium cooperation effects, such as sign reversals of the interspike interval correlations versus noise-switching rate as well as versus the frequency of periodic forcing, a power-law-like decay of oscillations of the serial correlation coefficients in the long-lag limit, amplification of the output signal modulation in the instantaneous firing rate of the neural response, etc. The features of spike statistics in the limits of slow and fast noises are also discussed.
考虑了由加性外生周期刺激驱动的随机完美积分发放神经元模型的输出峰峰间隔统计特性。突触输入的时间相关随机活动的影响通过加性对称二分噪声进行建模。使用首通时间公式，在非稳态下推导了输出峰峰间隔密度和序列相关系数的精确表达式，并分析了它们对输入参数（例如，噪声相关时间、幅度以及输入电流频率）的依赖性。结果表明，周期强迫和有色噪声的相互作用会导致各种非平衡合作效应，例如峰峰间隔相关性相对于噪声切换率以及相对于周期强迫频率的符号反转、长滞后极限下序列相关系数振荡的幂律衰减、神经反应瞬时发放率中输出信号调制的放大等。还讨论了慢噪声和快噪声极限下的尖峰统计特征。
