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Statistical Frequency-Dependent Analysis of Trial-to-Trial Variability in Single Time Series by Recurrence Plots

机译:递归图对单一时间序列中试验间的统计变异性进行频率统计分析

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摘要

For decades, research in neuroscience has supported the hypothesis that brain dynamics exhibits recurrent metastable states connected by transients, which together encode fundamental neural information processing. To understand the system's dynamics it is important to detect such recurrence domains, but it is challenging to extract them from experimental neuroscience datasets due to the large trial-to-trial variability. The proposed methodology extracts recurrent metastable states in univariate time series by transforming datasets into their time-frequency representations and computing recurrence plots based on instantaneous spectral power values in various frequency bands. Additionally, a new statistical inference analysis compares different trial recurrence plots with corresponding surrogates to obtain statistically significant recurrent structures. This combination of methods is validated by applying it to two artificial datasets. In a final study of visually-evoked Local Field Potentials in partially anesthetized ferrets, the methodology is able to reveal recurrence structures of neural responses with trial-to-trial variability. Focusing on different frequency bands, the δ-band activity is much less recurrent than α-band activity. Moreover, α-activity is susceptible to pre-stimuli, while δ-activity is much less sensitive to pre-stimuli. This difference in recurrence structures in different frequency bands indicates diverse underlying information processing steps in the brain.
机译:几十年来,神经科学研究一直支持以下假设:大脑动力学表现出由瞬态连接的复发性亚稳态,这些瞬态共同编码基本的神经信息处理。要了解系统的动态特性,检测此类递归域非常重要,但是由于试验之间存在较大差异,因此从实验神经科学数据集中提取它们非常具有挑战性。所提出的方法通过将数据集转换成它们的时频表示并基于各个频带中的瞬时频谱功率值计算递归图来提取单变量时间序列中的递归亚稳态。此外,新的统计推断分析将不同的试验复发图与相应的替代物进行比较,以获得具有统计意义的重复结构。通过将其应用于两个人工数据集来验证这种方法组合。在对部分麻醉的雪貂视觉诱发的局部场电位的最终研究中,该方法能够揭示神经反应的复发结构,并具有试验间的差异。着眼于不同的频段,δ波段活动的复发频率远低于α波段活动。而且,α-活性对预刺激敏感,而δ-活性对预刺激不那么敏感。在不同频段的递归结构的这种差异表明大脑中各种基础信息处理步骤。

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