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Scale-Invariant Neuronal Avalanche Dynamics and the Cut-Off in Size Distributions

机译:尺度不变的神经元雪崩动力学和大小分布的临界值

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摘要

Identification of cortical dynamics strongly benefits from the simultaneous recording of as many neurons as possible. Yet current technologies provide only incomplete access to the mammalian cortex from which adequate conclusions about dynamics need to be derived. Here, we identify constraints introduced by sub-sampling with a limited number of electrodes, i.e. spatial ‘windowing’, for well-characterized critical dynamics―neuronal avalanches. The local field potential (LFP) was recorded from premotor and prefrontal cortices in two awake macaque monkeys during rest using chronically implanted 96-microelectrode arrays. Negative deflections in the LFP (nLFP) were identified on the full as well as compact sub-regions of the array quantified by the number of electrodes N (10–95), i.e., the window size. Spatiotemporal nLFP clusters organized as neuronal avalanches, i.e., the probability in cluster size, p(s), invariably followed a power law with exponent −1.5 up to N, beyond which p(s) declined more steeply producing a ‘cut-off’ that varied with N and the LFP filter parameters. Clusters of size s≤N consisted mainly of nLFPs from unique, non-repeated cortical sites, emerged from local propagation between nearby sites, and carried spatial information about cluster organization. In contrast, clusters of size s>N were dominated by repeated site activations and carried little spatial information, reflecting greatly distorted sampling conditions. Our findings were confirmed in a neuron-electrode network model. Thus, avalanche analysis needs to be constrained to the size of the observation window to reveal the underlying scale-invariant organization produced by locally unfolding, predominantly feed-forward neuronal cascades.
机译:皮层动力学的鉴定极大地受益于同时记录尽可能多的神经元。然而,当前的技术仅提供了对哺乳动物皮层的不完全访问,需要从中得出有关动力学的充分结论。在这里,我们确定了通过有限数量的电极子采样(即空间“窗口”)引入的约束,这些约束用于特征明确的临界动力学神经元雪崩。使用长期植入的96微电极阵列,在休息时从两只清醒的猕猴的运动前和前额叶皮层记录了局部场电势(LFP)。 LFP(nLFP)中的负挠度在阵列的整个子区域和紧凑子区域上均得到了确定,该子区域由电极的数量N(10-95)量化,即窗口大小。时空nLFP簇组织为神经元雪崩,即簇大小的概率p(s)始终遵循幂律,指数为-1.5到N,超过该幂定律,p(s)的下降幅度更大,产生“临界值”随N和LFP滤波器参数而变化。大小s≤N的星团主要由来自独特的,非重复的皮质位点的nLFP组成,它们是由附近位点之间的局部传播形成的,并携带有关星团组织的空间信息。相反,大小为s> N的簇主要由重复的站点激活控制,并且几乎没有空间信息,这反映了严重失真的采样条件。我们的发现在神经元电极网络模型中得到了证实。因此,雪崩分析需要限制在观察窗的大小上,以揭示由局部展开,主要是前馈神经元级联反应所产生的潜在的尺度不变组织。

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