Max Planck Institute for Mathematics in the Sciences, Inselstraße 22, 04103 Leipzig, Germany.
Philos Trans A Math Phys Eng Sci. 2011 Oct 13;369(1952):3884-901. doi: 10.1098/rsta.2011.0082.
A particular property of the sleeping brain is that it exhibits dynamics on very different time scales ranging from the typical sleep oscillations such as sleep spindles and slow waves that can be observed in electroencephalogram (EEG) segments of several seconds duration over the transitions between the different sleep stages on a time scale of minutes to the dynamical processes involved in sleep regulation with typical time constants in the range of hours. There is an increasing body of work on mathematical and computational models addressing these different dynamics, however, usually considering only processes on a single time scale. In this paper, we review and present a new analysis of the dynamics of human sleep EEG at the different time scales and relate the findings to recent modelling efforts pointing out both the achievements and remaining challenges.
睡眠大脑的一个特殊性质是，它表现出非常不同时间尺度的动力学，从典型的睡眠振荡，如睡眠纺锤波和慢波，可以在脑电图（EEG）的几个秒段中观察到，跨越分钟时间尺度的不同睡眠阶段之间的转变，到涉及睡眠调节的动力学过程，其典型时间常数在小时范围内。越来越多的工作致力于解决这些不同动力学的数学和计算模型，然而，通常只考虑单一时间尺度的过程。在本文中，我们回顾和呈现了人类睡眠 EEG 在不同时间尺度上的动力学的新分析，并将研究结果与最近的建模工作联系起来，指出了取得的成就和仍然存在的挑战。
