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State-Space Analysis of Time-Varying Higher-Order Spike Correlation for Multiple Neural Spike Train Data

机译:多个神经峰值列车数据的时变高阶峰值相关性的状态空间分析

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摘要

Precise spike coordination between the spiking activities of multiple neurons is suggested as an indication of coordinated network activity in active cell assemblies. Spike correlation analysis aims to identify such cooperative network activity by detecting excess spike synchrony in simultaneously recorded multiple neural spike sequences. Cooperative activity is expected to organize dynamically during behavior and cognition; therefore currently available analysis techniques must be extended to enable the estimation of multiple time-varying spike interactions between neurons simultaneously. In particular, new methods must take advantage of the simultaneous observations of multiple neurons by addressing their higher-order dependencies, which cannot be revealed by pairwise analyses alone. In this paper, we develop a method for estimating time-varying spike interactions by means of a state-space analysis. Discretized parallel spike sequences are modeled as multi-variate binary processes using a log-linear model that provides a well-defined measure of higher-order spike correlation in an information geometry framework. We construct a recursive Bayesian filter/smoother for the extraction of spike interaction parameters. This method can simultaneously estimate the dynamic pairwise spike interactions of multiple single neurons, thereby extending the Ising/spin-glass model analysis of multiple neural spike train data to a nonstationary analysis. Furthermore, the method can estimate dynamic higher-order spike interactions. To validate the inclusion of the higher-order terms in the model, we construct an approximation method to assess the goodness-of-fit to spike data. In addition, we formulate a test method for the presence of higher-order spike correlation even in nonstationary spike data, e.g., data from awake behaving animals. The utility of the proposed methods is tested using simulated spike data with known underlying correlation dynamics. Finally, we apply the methods to neural spike data simultaneously recorded from the motor cortex of an awake monkey and demonstrate that the higher-order spike correlation organizes dynamically in relation to a behavioral demand.
机译:建议在多个神经元的突波活动之间进行精确的尖峰协调,以指示活动细胞装配体中协调的网络活动。峰值相关分析旨在通过检测同时记录的多个神经峰值序列中的过量峰值同步来识别这种协作网络活动。合作行为有望在行为和认知过程中动态组织;因此,必须扩展当前可用的分析技术,以便能够同时估计神经元之间的多个随时间变化的尖峰相互作用。尤其是,新方法必须通过解决多个神经元的高阶依赖性来充分利用同时观察多个神经元的优势,而这只能通过成对分析才能揭示。在本文中,我们开发了一种通过状态空间分析估算时变尖峰相互作用的方法。使用对数线性模型将离散化的并行尖峰序列建模为多变量二进制过程,该对数线性模型在信息几何框架中提供了明确定义的高阶尖峰相关性的度量。我们构造了递归贝叶斯滤波器/平滑器,以提取尖峰相互作用参数。此方法可以同时估计多个单个神经元的动态成对尖峰相互作用,从而将多个神经尖峰序列数据的Ising /自旋玻璃模型分析扩展到非平稳分析。此外,该方法可以估计动态高阶尖峰相互作用。为了验证模型中是否包含高阶项,我们构建了一种近似方法来评估峰值数据的拟合优度。此外,即使在非平稳的峰值数据(例如来自清醒行为动物的数据)中,我们也针对高阶峰值相关性的存在制定了一种测试方法。所提出的方法的实用性是使用具有已知潜在相关动力学的模拟尖峰数据进行测试的。最后,我们将这些方法应用于从清醒猴子的运动皮层同时记录的神经峰值数据,并证明了高阶峰值相关性是与行为需求有关的动态组织。

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