Middleton J W, Chacron M J, Lindner B, Longtin A
Department of Physics, University of Ottawa, 150 Louis Pasteur, Ottawa, Ontario, Canada K1N 6N5.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 Aug;68(2 Pt 1):021920. doi: 10.1103/PhysRevE.68.021920. Epub 2003 Aug 28.
We study the statistics of the firing patterns of a perfect integrate and fire neuron model driven by additive long-range correlated Ornstein-Uhlenbeck noise. Using a quasistatic weak noise approximation we obtain expressions for the interspike interval (ISI) probability density, the power spectral density, and the spike count Fano factor. We find unimodal, long-tailed ISI densities, Lorenzian power spectra at low frequencies, and a minimum in the Fano factor as a function of counting time. The implications of these results for signal detection are discussed.
我们研究了由加性长程相关奥恩斯坦 - 乌伦贝克噪声驱动的完美积分发放神经元模型的放电模式统计特性。利用准静态弱噪声近似，我们得到了峰峰间隔（ISI）概率密度、功率谱密度和脉冲计数法诺因子的表达式。我们发现了单峰、长尾的ISI密度，低频处的洛伦兹功率谱，以及作为计数时间函数的法诺因子最小值。讨论了这些结果对信号检测的意义。
