估计相位响应曲线的最佳色噪声
Optimal Colored Noise for Estimating Phase Response Curves
摘要：
相位响应曲线（PRC）是表征振荡元件间相互作用的重要指标。为了理解生物系统中的同步性，许多研究小组试图直接从包括神经元在内的生物细胞中测量PRC。Ermentrout等人和Ota等人表明，可以通过测量白噪声尖峰触发的平均值来识别PRC。这种方法的缺点是必须收集一万多个尖峰以确保估计的准确性。在本文中，为了实现一个更准确的估计PRCs有限的样本量，我们使用有色噪声，最近引起了人们的注意，因为它的独特的影响动力系统。我们数值计算表明，有一个最佳的有色噪声估计PRCs在最严格的方式。
英文摘要：
The phase response curve (PRC) is an important measure representing the interaction between oscillatory elements. To understand synchrony in biological systems, many research groups have sought to measure PRCs directly from biological cells including neurons. Ermentrout et al. and Ota et al. showed that PRCs can be identified through measurement of white-noise spike-triggered averages. The disadvantage of this method is that one has to collect more than ten-thousand spikes to ensure the accuracy of the estimate. In this paper, to achieve a more accurate estimation of PRCs with a limited sample size, we use colored noise, which has recently drawn attention because of its unique effect on dynamical systems. We numerically show that there is an optimal colored noise to estimate PRCs in the most rigorous fashion.
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