Correlation dimension changes of the EEG during the wakefulness-sleep cycle.

M Molnár, J E Skinner
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Abstract

The mathematical tools of chaos theory make the quantification of a time series such as the electroencephalogram possible by calculating its correlation dimensions. In this study, the electroencephalogram was recorded from the vertex in cats during the wakefulness-sleep cycle and its correlation dimension was determined. For the estimation of the correlation dimension a new method, the point-correlation dimension was used. This method is more accurate than others currently used for tracking non-stationarities within the data. The point-correlation dimension was higher during the alert state than in slow wave sleep. It is suggested that during the alert state a different type of pacemaker activity takes over in the generation of the electroencephalogram.

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醒-睡周期脑电图相关维数变化。
混沌理论的数学工具通过计算脑电图等时间序列的相关维数,使其量化成为可能。本研究记录了猫在清醒-睡眠周期中的顶点脑电图,并确定了其相关维数。对于相关维数的估计,采用了一种新的方法——点相关维数。这种方法比目前用于跟踪数据中的非平稳性的其他方法更准确。警觉状态下的点相关维数高于慢波睡眠状态。提示在警觉性状态下,一种不同类型的起搏器活动接管了脑电图的生成。
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