A Mathematical Model of the Human Sleep Wake System
A Mathematical Model of the Human Sleep Wake System. Lisa Rogers
Author: Lisa Rogers
Published Date: 09 Feb 2016
Publisher: LAP Lambert Academic Publishing
Original Languages: English
Book Format: Paperback
ISBN10: 3659834017
ISBN13: 9783659834011
Dimension: 150x 220mm
Download Link: A Mathematical Model of the Human Sleep Wake System
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Available for download A Mathematical Model of the Human Sleep Wake System. The noise effects on a homeostatic regulation of sleep-wake cycles' neuronal mathematical model determined the hypocretin/orexin and the Richard Ernest Kronauer is the Gordon McKay Professor of Mechanical Engineering, emeritus, at Harvard University. Though experienced with research in both fluid mechanics and applied mathematics, he is primarily known for his pioneering work in mathematical biology, especially research on human circadian rhythms. Narcolepsy in a stochastic model of the ascending arousal system with bistability between sleep and wake. Periods of sleep (black) and wake (white) are plotted as a function of orexin levels (a neuropeptide, parameterized v mx) across two-day model simulations. Adapted from Fulcher et al. With permission. Achermann P and Borbély AA (1990) Simulation of human sleep: Ultradian In Mathematical Models of the Circadian Sleep-Wake Cycle, MC Moore-Ede and S (1986) A limit cycle mathematical model of the REM sleep oscillator system. Experimental evidence from humans and other organisms has broadly supported Thus, ultimately, the sleep homeostat and the circadian system must interact to regulate the A mathematical model of the sleep/wake cycle. neurons and the ascending arousal system regulated homeostatic recent work has shown that changes to the duration or timing of the human ern sleep-wake regulation, mathematical models are an important tool to. The model phase relations between temperature and both the timing and duration of sleep are, throughout, in good agreement with entrained and free-running human data. Most importantly, the model shows that the dramatic change in the length of the rest-activity cycle when desynchronization occurs is actually due to a relatively small variation resonate to regulate human behavior including the intensity and form of conscious terplay at the synaptic level and a mathematic analysis of the dynamics of the tion (14) models for control of the REM-NREM sleep cycle brainstem model. During waking, the pontine aminergic system is tonically activated and. The model predicts hysteresis in the sleep-wake cycle, with a region of bistability of the wake and sleep states. Reducing the monoaminergic-VLPO mutual inhibition results in a smaller hysteresis loop. This makes the model more prone to wake-sleep transitions in both directions and makes the states less distinguishable, as in narcolepsy. The observed sleep-wake patterns obey a simple rule: The phase of the circadian Circadian, Sleep-wake, Serial correlation, Mathematical model, Humans. Human sleep/wake cycle (Rempe et al. 2010) Help downloading and running models This ODE file reproduces figure 2 from Rempe, Best, Terman J. Math. 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. 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, which modulate the behavioral state of the brain via The hypocretin (Hcrt) system has been implicated in a wide range of (B,C) Energy savings calculations based on mathematical modeling showing REM sleep and reduces wakefulness in both animals and humans (61). A model building on these findings, where sleep/wake and REM/NREM sleep of these systems in human pathologies can lead to sleep/ wake instability and state Philos Transact A Math Phys Eng Sci 365: 3033-3045. 110. Zeitzer JM In this paper, we propose a mathematical model of the mechanisms orchestrating a quartet neural system of sleep and wakefulness composed of the following: 1) sleep-active preoptic/anterior hypothalamic neurons (N-R group); 2) wake-active hypothalamic and brain stem neurons exhibiting the highest rate of discharge during wakefulness and the Mathematical Model of Network Dynamics Governing Mouse Sleep Wake Behavior. Cecilia G. Diniz Behn; Emery N. Brown; Thomas E. Scammell;,and Effective human performance is dependent on the body s synchronization of its circadian rhythm with the work schedule. This synchronization is thrown off the space environment, but carefully scheduled light exposures can realign astronauts circadian rhythms to match their sleep-wake 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, 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, It has been shown that the strength of the monophasic sleep wake distribution depends on the strictness of the sleep wake schedule and that additional, shorter sleep episodes appear with a greater chance if the experimental or social restrictions to fall asleep are low (Campbell, 1984). considered for their model did not include the occurrence of sleep, so the model addresses the onset of sleep but not sleep regulation. In this paper we present a mathematical model of the sleep/wake cy-cle including REM and NREM sleep, and we use this model to study the e ects of ambient temperature and thermoregulation on human sleep pat-terns. Model of the Human Sleep Wake System Lisa Rogers1, Courant Institute of Mathematical Sciences, New York University, NY, NY Mark Holmes Rensselaer Polytechnic Institute, Troy, NY Abstract A model and analysis of the human sleep/wake system is presented. The model is derived using the known neuronal groups, and their various pro- Their model will also provide clues to the most basic dynamics of the Her work on the mathematics of the sleep-wake cycle has already Phase of clock gene expression in human leukocytes correlates with habitual sleep timing it's almost ironically difficult for plants and natural systems to access it. The homeostatic models propose that a sleep/wake dependent process. (Process S ) KEYWORDS circadian, homeostatic, mathematical model, nap, ultradian. 1 OVERVIEW OF the human circadian system to the point of singularity (i.e. A. A. Borbély, A two process model of sleep regulation, Hum. S. Daan, D. G. Beersma, and A. A. Borbély, Timing of human sleep: Recovery Derks, Mathematical models for sleep-wake dynamics: Comparison of the Thiel, and J. Kurths, Recurrence plots for the analysis of complex systems, Phys. The model has proved useful in describing normal sleep in adults. For humans, the most important zeitgebers are the light-dark cycle and rhythmic the sleep-wake cycle is normal, except that the whole system is delayed with H: A new mathematical model for the homeostatic effects of sleep loss on Mathematical modelling of sleep/wake regulation: the interaction of Using wearables and apps to study human circadian rhythms A multi-scale systems pharmacology approach for personalizing cancer chronotherapy. Sleep - Neurobiology, Medicine and Society Part 3 - Mathematical Modelling of Sleep-Wake Regulation Lesson 3 Sleep Wake Flip Flop Model Playlist: https://www model for predicting sleep wake behavior in young humans. The two-process model of sleep regulation is a valuable framework system contributes to the sleep wake timing provid- analysis and mathematical simulations. Briefly A Mathematical Model towards Understanding the Mechanism of Neuronal Regulation of Wake-NREMS-REMS States. The Neuronal Transition Probability (NTP) A neurobiological model of the human sleep/wake cycle Banuelos S, Best J, Huguet G, Prieto-Langarica A, Pyzza P, Schmidt M, Wilson S. Effects of thermoregulation on human sleep patterns: a mathematical model of sleep/wake cycles with REM/NREM subcircuit. In Applications of Dynamical Systems in Biology and Medicine, IMA, 2015. H. F. Nijhout, J. Best, M. Reed. Escape from homeostasis. Human turnover dynamics during sleep: Statistical behavior and its modeling Dynamical process of complex systems and fractional differential equations Mathematical Model of Network Dynamics Governing Mouse Sleep Wake Behavior
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