A unified description of cerebellar inter-spike interval distributions and variabilities using summation of Gaussians
A unified description of cerebellar inter-spike interval distributions and variabilities using summation of Gaussians
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DOI：
10.3109/0954898x.2011.636860
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发表时间：
2011-01-01
影响因子：
7.8
通讯作者：
Nitz, Douglas A.
中科院分区：
文献类型：
--
作者：
Chen, Yanqing;Nitz, Douglas A.
神经元尖峰间期（ISI）先前已被描述为泊松分布、伽马分布、逆高斯分布或其他单峰分布。我们分析了自由行为大鼠小脑节律性和节律性神经元放电序列的ISI，发现它们的分布可以描述为多个高斯分布的总和或积分。节律性小脑浦肯野细胞的ISI在基本的放电间隔处具有主要的高斯峰，并且在该放电周期的倍数处具有指数降低的峰。小脑浦肯野细胞的ISI可以建模为以连续间隔为中心的多个高斯分布的积分，其峰值幅度呈指数降低。变异性的来源是直接相关的相邻细胞之间的动作电位的相对时间，因为我们表明，在一个细胞中的放电的不规则性与以前的历史，其放电的时间相对于另一个细胞。通过相对相位分析，我们表明，形状和数学形式的ISI分布在小脑附近的神经网络的动态相互作用的直接结果，除了内在的放电特性。本文的分析提供了一个统一的描述小脑峰间期分布偏离通常的泊松假设。我们的研究结果表明，存在一个内在的节律性细胞表现出的mammic尖峰列车在小脑，并可能确定一个重要的来源的变异神经元放电模式，是相关的小脑神经计算的机制。
Neuronal inter-spike intervals (ISIs) have previously been described as Poisson, Gamma, inverse Gaussian or other unimodal distributions. We analyzed ISIs of rhythmic and arrhythmic neuronal spike trains in cerebellum recorded from freely behaving rats, and found that their distributions can be described as the summation or integration of multiple Gaussian distributions. The ISIs of rhythmic cerebellar Purkinje cells have a main Gaussian peak at a basic firing interval and exponentially reduced peaks at multiples of this firing period. ISIs of arrhythmic Purkinje cells can be modeled as the integration of multiple Gaussian distributions centered at continuous intervals with exponentially reduced peak amplitudes. The sources of variability are directly related to the relative timing of action potentials between neighboring cells since we show that irregularities of discharge in one cell are associated with the previous history of its discharge in time relative to another cell. Through relative phase analyses, we demonstrate that the shape and the mathematical form of the ISI distributions in cerebellum are direct result of dynamic interactions in the nearby neuronal network, in addition to intrinsic firing properties. The analysis in this paper provides a unified description of cerebellar inter-spike interval distributions which deviate from the usual Poisson assumptions. Our results suggest the existence of an intrinsic rhythmicity in cells exhibiting arrhythmic spike trains in cerebellum, and may identify an important source of variability in neuronal firing patterns that is relevant to the mechanism of neural computation in cerebellum.