[PDF] A Mathematical Model of the Human Sleep Wake System epub
A Mathematical Model of the Human Sleep Wake System Lisa Rogers
Author: Lisa Rogers
Date: 09 Feb 2016
Publisher: LAP Lambert Academic Publishing
Language: English
Book Format: Paperback
ISBN10: 3659834017
Filename: a-mathematical-model-of-the-human-sleep-wake-system.pdf
Dimension: 150x 220mm
Download: A Mathematical Model of the Human Sleep Wake System
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Mathematical models of the human respiratory control system have been developed periodic breathing and apnea as they occur during quiet sleep in infant sleep respiration at around Section 7.1 models the normal adult awake case. A limit cycle mathematical model of the rapid-eye-movement (REM) sleep oscillator system has been developed from a structural model of interaction of populations of REM-on and REM-off neurons. The marked differences in latency, amplitude, and duration of the first REM sleep period seen with Mathematical Model of Network Dynamics Governing Mouse Sleep Wake Behavior. Cecilia G. Diniz Behn; Emery N. Brown; Thomas E. Scammell;,and population. The model includes the ventrolateral preoptic area (VLPO), where circadian and homeostatic drives enter the system, the monoaminergic and cholinergic nuclei of the ascending arousal system, and their interconnections. The human sleep-wake cycle is governed the activities of these nuclei, Abstract We present a biologically-based mathematical model that accounts for several features of the human sleep/wake cycle. These features include the timing of sleep and wakefulness under normal and sleep-deprived conditions, ultradian rhythms, more frequent switching between sleep and wakefulness due to the loss of orexin and the circadian de- Indeed mathematical models for sleep-wake dynamics have long accompanied experimental discoveries [15 17]. The Phillips-Robinson (PR) as a 90-minute sleep cycle in humans, but actually the data is much more variable In fact, many mathematical models of REM/NREM dynamics in This project aims to develop a model for REM/NREM dynamics within sleep/wake cycling that This project will use methods from dynamical systems and We propose a model for heart rate variability (HRV) of a healthy individual during sleep with the assumption that the heart rate variability is predominantly a random process. Autonomic nervous system activity has different properties during different sleep stages, and this affects many physiological systems including the cardiovascular system. The most well-known mathematical model of sleep regulation, the two-process model, models the sleep-wake cycle two oscillators: a circadian oscillator and a homeostatic oscillator. An alternative, more recent, model considers the reciprocal interaction of sleep promoting neurons and the ascending arousal system regulated homeostatic and circadian processes. Once the correlates for sleep in Drosophila had been defined, the stage was set for the discovery of sleep-related genetic pathways, the elucidation of neural correlates for sleep in flies, and perhaps even the modeling of human sleep disorders in this model system. system analogous to two connected compartments containing interacting compounds with time- Various mathematical ''fatigue and performance models'' have been developed to sleep during wakefulness and dissipates this pressure during adenosine receptor binding in the human brain: a positron emission. The development of good sleep models linking experiments with physiology will significantly aid the understanding of the consequences of insufficient sleep and age-related changes in sleep. Recent advances in the mathematical of the sleep-wake cycle have led to the derivation of a model of sleep, the Philips-Robinson (PR) model that goes beyond RE Kronauer, CA Czeisler, SF Pilato, MC Moore-Ede and ED Weitzman. "Mathematical model of the human circadian system with two interacting oscillators," Am J Physiol 242:R3-R17, 1982. CA Czeisler, JS Allan, SH Strogatz, JM Ronda, R Sanchez, ble system capable of representing the self-sustaining, weakly nonlinear oscillations characteristic of the hu-man biological clock. Many authors have used various forms of the van der Pol oscillator in simulation studies of the human circadian pacemaker (23, 24, 29 35, 48, 50). Statistical models of the human core-temperature mathematical model of sleep regulation, the two-process model, models the sleep-wake cycle two oscillators: a circadian oscillator and a homeostatic oscillator. An alternative, more recent, model considers the mutual inhibition of sleep promoting neurons and the ascending arousal system regulated homeostatic and circadian processes. Here Hypothalamic regulation of sleep-wake cycle becomes of relevance as several The results of this approach the cerveau isolé” model leading to a In view of that, an ascending arousal system originating in the Human narcolepsy is a genetically complex disorder and environmentally influenced. We present a biologically-based mathematical model that accounts for several features of the human sleep/wake cycle. The model demonstrates how these features depend on interactions between a circadian pacemaker and a sleep homeostat and provides a biological basis for the two-process model for sleep regulation. The human sleep-wake cycle is governed the activities of these Achermann P. And Borbély AA (2003) Mathematical models of sleep regulation. Freeman WJ (1975) Mass Action in the Nervous System, New York,
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