Dynamics of sleep-wake transitions during sleep

Lo, C.-C.; Amaral, Luı́s A. Nunes; Havlin, Shlomo; Ivanov, Plamen Ch.; Penzel, Thomas; Peter, J. H.; Stanley, H. Eugene

doi:10.1209/epl/i2002-00508-7

Cited by 181 publications

(209 citation statements)

References 19 publications

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“…We found changes of the characteristic time scale of sleep periods throughout the night, which means that t decreases from 27 7 1 min in the beginning of the night to 18 7 1 min at the end of the sleep recording. Based on these results we developed a stochastic random walk model with added forces pulling the walker towards sleep (Lo et al, 2002). The model shows a good agreement with the data.…”

Section: Sleep Stages Dynamicsmentioning

confidence: 88%

“…In order to obtain a new quantitative description we applied methods of statistical physics to the sleep profiles (Lo et al, 2002). The duration of the joined sleep stages (defined as light, deep, and REM sleep combined) followed an exponential distribution with a characteristic time scale t, pðtÞ $ expðÀt=tÞ with t¼ 22 AE 1min:…”

Section: Sleep Stages Dynamicsmentioning

confidence: 99%

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Dynamics of Heart Rate and Sleep Stages in Normals and Patients with Sleep Apnea

Penzel

Kantelhardt

et al. 2003

Neuropsychopharmacol

147

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Sleep is not just the absence of wakefulness but a regulated process with an important restorative function. Based on electroencephalographic recordings and characteristic patterns and waveforms we can distinguish wakefulness and five sleep stages grouped into light sleep, deep sleep, and rapid-eye-movement (REM) sleep. In order to explore the functions of sleep and sleep stages, we investigated the dynamics of sleep stages over the night and of heart-rate variability during the different sleep stages. Sleep stages and intermediate wake states have different distri butions of their duration and this allows us to create a model for the temporal sequence of sleep stages and wake states. Heart rate is easily accessed with a high precision by the recording and analysis of the electrocardiogram (ECG). Heart-rate regulation is part of the autonomous nervous system and sympathetic tone is strongly influenced by the sleep stages.

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Section: Sleep Stages Dynamicsmentioning

confidence: 88%

Section: Sleep Stages Dynamicsmentioning

confidence: 99%

Dynamics of Heart Rate and Sleep Stages in Normals and Patients with Sleep Apnea

Penzel

Kantelhardt

et al. 2003

Neuropsychopharmacol

147

View full text Add to dashboard Cite

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“…When a person is awake, the frequency of the brain is basically in the state of beta waves [1][2][3][4]. With the enhancement of the beta waves, the body gradually gets more nervous.…”

Section: Introductionmentioning

confidence: 99%

“…When people sleep, beta waves weakened, people gradually show the state of relaxation. Through the study of the beta EEG analysis, we can distinguish that people are awake or asleep [1][2][3][4].…”

Section: Introductionmentioning

confidence: 99%

Beta wave of sleep electroencephalogram analysis based on sign series entropy

Zhao¹,

Li²,

Yang³

et al. 2016

Proceedings of the 2nd International Conference on Advances in Mechanical Engineering and Industrial Informatics (AMEII 2016)

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Abstract. Sleep and wake EEG have some differences. After studying their brain waves and calculating the sign series entropy, we use the T test for the detection of sleep and wake EEG data to figure out whether they are different. After beta waves being filtered out by the filter, we calculate the entropy of the sign series. The results of T test show that the beta waves in the state of sleep and wake are different.

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“…During the foraging behavior of fruit flies, Drosophila, the distribution of the dwell time on food is reported to be a power law distribution [13]. During night, healthy subject's wake periods exhibit the power law distribution, whereas the durations of sleep periods exhibit an exponential form [14]. The system is a network on which the internal states are expressed by means of transmitting signals throughout the brain's neural system [15,16].…”

Section: Introductionmentioning

confidence: 99%

Dynamical process of complex systems and fractional differential equations

Hara¹,

Tamura

2013

Open Physics

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Abstract:Behavior of dynamical process of complex systems is investigated. Specifically we analyse two types of ideal complex systems. For analysing the ideal complex systems, we define the response functions describing the internal states to an external force. The internal states are obtained as a relaxation process showing a "power law" distribution, such as scale free behaviors observed in actual measurements. By introducing a hybrid system, the logarithmic time, and double logarithmic time, we show how the "slow relaxation" (SR) process and "super slow relaxation" (SSR) process occur. Regarding the irregular variations of the internal states as an activation process, we calculate the response function to the external force. The behaviors are classified into "power", "exponential", and "stretched exponential" type. Finally we construct a fractional differential equation (FDE) describing the time evolution of these complex systems. In our theory, the exponent of the FDE or that of the power law distribution is expressed in terms of the parameters characterizing the structure of the system. PACS

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Dynamics of sleep-wake transitions during sleep

Cited by 181 publications

References 19 publications

Dynamics of Heart Rate and Sleep Stages in Normals and Patients with Sleep Apnea

Dynamics of Heart Rate and Sleep Stages in Normals and Patients with Sleep Apnea

Beta wave of sleep electroencephalogram analysis based on sign series entropy

Dynamical process of complex systems and fractional differential equations

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