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首页> 外文期刊>Journal of Computational Neuroscience >Improved measures of phase-coupling between spikes and the Local Field Potential
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Improved measures of phase-coupling between spikes and the Local Field Potential

机译：尖峰和局部场电势之间的相位耦合的改进措施

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An important tool to study rhythmic neu-ronal synchronization is provided by relating spiking activity to the Local Field Potential (LFP). Two types of interdependent spike-LFP measures exist. The first approach is to directly quantify the consistency of single spike-LFP phases across spikes, referred to here as point-field phase synchronization measures. We show that conventional point-field phase synchronization measures are sensitive not only to the consistency of spike-LFP phases, but are also affected by statistical dependencies between spike-LFP phases, caused by e.g. non-Poissonian history-effects within spike trains such as bursting and refractoriness. To solve this problem, we develop a new pairwise measure that is not biased by the number of spikes and not affected by statistical dependencies between spike-LFP phases. The second approach is to quantify, similar to EEG-EEG coherence, the consistency of the relative phase between spike train and LFP signals across trials instead of across spikes, referred to here as spike train to field phase synchronization measures. We demonstrate an analytical relationship between point-field and spike train to field phase synchronization measures. Based on this relationship, we prove that the spike train to field pairwise phase consistency (PPC), a quantity closely related to the squared spike-field coherence, is a monotonically increasing function of the number of spikes per trial. This derived relationship is exact and analytic, and takes a linear form for weak phase-coupling. To solve this problem, we introduce a corrected version of the spike train to field PPC that is independent of the number of spikes per trial. Finally, we address the problem that dependencies between spike-LFP phase and the number of spikes per trial can cause spike-LFP phase synchronization measures to be biased by the number of trials. We show how to modify the developed point-field and spike train to field phase synchronization measures in order to make them unbiased by the number of trials.
机译：通过将尖峰活动与局部场电位（LFP）相关联，提供了一种研究有节奏的神经元同步的重要工具。存在两种类型的相互依赖的峰值LFP度量。第一种方法是直接量化各个尖峰之间的单个尖峰LFP相的一致性，这里称为点场相位同步测量。我们表明常规点场相位同步测量不仅对尖峰LFP相位的一致性很敏感，而且还受到尖峰LFP相之间的统计依赖性的影响，例如峰值序列中的非泊松历史效应，例如爆裂和耐火度。为了解决此问题，我们开发了一种新的成对度量，该度量不受峰值数量的影响，也不受峰值LFP相之间的统计依赖性的影响。第二种方法是类似于EEG-EEG相干性，量化跨试验而不是跨尖峰的尖峰序列和LFP信号之间相对相位的一致性，这里称为尖峰序列到现场相位同步测量。我们证明了点场和峰值列车到场相位同步措施之间的分析关系。基于此关系，我们证明了峰值序列到场成对相位一致性（PPC）（与平方根峰值场相干性紧密相关的数量）是每个试验的峰值数目的单调递增函数。这种导出的关系是精确的和解析的，并且对于弱相位耦合采取线性形式。为了解决此问题，我们向现场PPC引入了尖峰序列的校正版本，该版本独立于每个试验的尖峰数量。最后，我们解决了尖峰-LFP阶段与每个试验的尖峰数之间的相关性可能导致尖峰-LFP阶段同步措施因试验数而产生偏差的问题。我们展示了如何修改已开发的点场和峰值列车以实现场相位同步措施，以使其不受试验次数的影响。

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