Phase resetting and coupling of noisy neural oscillators
Phase resetting and coupling of noisy neural oscillators
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DOI：
10.1007/s10827-005-5427-0
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发表时间：
2006-04-01
影响因子：
1.2
通讯作者：
Saunders, David
中科院分区：
文献类型：
--
作者：
Ermentrout, Bard;Saunders, David
许多实验小组最近计算了神经元的相位响应曲线（PRC）。数据中有很多噪音。我们应用随机非线性动力学的方法耦合噪声相位复位映射，并获得不变的相位分布密度。利用PRCs的特殊结构，我们得到了一些近似的不变分布。比较蒙特-卡罗模拟。我们展示了噪声的相位依赖性如何使不变密度的峰值远离确定性系统分析所预期的峰值，从而导致噪声诱导的分叉。
A number of experimental groups have recently computed Phase Response Curves (PRCs) for neurons. There is a great deal of noise in the data. We apply methods from stochastic nonlinear dynamics to coupled noisy phase-resetting maps and obtain the invariant density of phase distributions. By exploiting the special structure of PRCs, we obtain some approximations for the invariant distributions. Comparisons to Monte-Carlo simulations are made. We show how phase-dependence of the noise can move the peak of the invariant density away from the peak expected from the analysis of the deterministic system and thus lead to noise-induced bifurcations.