Dynamics of Sleep-Wake Transitions During Sleep

Chung-Chuan Lo, Luis A. Nunes Amaral, Shlomo Havlin, Plamen Ch. Ivanov, Thomas Penzel, Joerg-Hermann Peter, H. Eugene Stanley

Published 2001-12-14, updated 2002-02-13Version 2

We study the dynamics of the awakening during the night for healthy subjects and find that the wake and the sleep periods exhibit completely different behavior: the durations of wake periods are characterized by a scale-free power-law distribution, while the durations of sleep periods have an exponential distribution with a characteristic time scale. We find that the characteristic time scale of sleep periods changes throughout the night. In contrast, there is no measurable variation in the power-law behavior for the durations of wake periods. We develop a stochastic model which agrees with the data and suggests that the difference in the dynamics of sleep and wake states arises from the constraints on the number of microstates in the sleep-wake system.