Rempe MJ, Best J, Terman D. (2010). A mathematical model of the sleep/wake cycle. Journal of mathematical biology. 60 [PubMed]

See more from authors: Rempe MJ · Best J · Terman D

References and models cited by this paper

Achermann P. (2004). The two-process model of sleep regulation revisited. Aviation, space, and environmental medicine. 75 [PubMed]

Achermann P, Borbely AA. (1999). Sleep homeostasis and models of sleep regulation. J Biol Rhythms. 14

Achermann P, Borbély AA. (1990). Simulation of human sleep: ultradian dynamics of electroencephalographic slow-wave activity. Journal of biological rhythms. 5 [PubMed]

Achermann P, Borbély AA. (1994). Simulation of daytime vigilance by the additive interaction of a homeostatic and a circadian process. Biological cybernetics. 71 [PubMed]

Achermann P, Borbély AA. (2003). Mathematical models of sleep regulation. Frontiers in bioscience : a journal and virtual library. 8 [PubMed]

Arnulf I, Mignot E, Dauvilliers Y. (2007). Narcolepsy with cataplexy. Lancet. 369

Behn CG, Brown EN, Scammell TE, Kopell NJ. (2007). Mathematical model of network dynamics governing mouse sleep-wake behavior. Journal of neurophysiology. 97 [PubMed]

Bes FW, Jobert M, Cordula Müller L, Schulz H. (1996). The diurnal distribution of sleep propensity: experimental data about the interaction of the propensities for slow-wave sleep and REM sleep. Journal of sleep research. 5 [PubMed]

Boeve BF et al. (2007). Pathophysiology of REM sleep behaviour disorder and relevance to neurodegenerative disease. Brain : a journal of neurology. 130 [PubMed]

Boissard R et al. (2002). The rat ponto-medullary network responsible for paradoxical sleep onset and maintenance: a combined microinjection and functional neuroanatomical study. The European journal of neuroscience. 16 [PubMed]

Borbély AA. (1982). A two process model of sleep regulation. Human neurobiology. 1 [PubMed]

Borbély AA, Achermann P. (1992). Concepts and models of sleep regulation: an overview. Journal of sleep research. 1 [PubMed]

Campbell S. (2000). Is there an intrinsic period of the circadian clock? Science (New York, N.Y.). 288 [PubMed]

Chemelli RM et al. (1999). Narcolepsy in orexin knockout mice: molecular genetics of sleep regulation. Cell. 98 [PubMed]

Chou T. (2003). Regulation of Sleep Wake Timing: Circadian Rhythms and Bistability of Sleep Wake States PhD Thesis Harvard University.

Chou TC et al. (2002). Afferents to the ventrolateral preoptic nucleus. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Colwell CS, Michel S. (2003). Sleep and circadian rhythms: do sleep centers talk back to the clock? Nature neuroscience. 6 [PubMed]

Czeisler CA et al. (1999). Stability, precision, and near-24-hour period of the human circadian pacemaker. Science (New York, N.Y.). 284 [PubMed]

Daan S, Beersma DG, Borbély AA. (1984). Timing of human sleep: recovery process gated by a circadian pacemaker. The American journal of physiology. 246 [PubMed]

Dijk DJ, Czeisler CA. (1994). Paradoxical timing of the circadian rhythm of sleep propensity serves to consolidate sleep and wakefulness in humans. Neuroscience letters. 166 [PubMed]

Dijk DJ, Czeisler CA. (1995). Contribution of the circadian pacemaker and the sleep homeostat to sleep propensity, sleep structure, electroencephalographic slow waves, and sleep spindle activity in humans. The Journal of neuroscience : the official journal of the Society for Neuroscience. 15 [PubMed]

Diniz Behn CG, Kopell N, Brown EN, Mochizuki T, Scammell TE. (2008). Delayed orexin signaling consolidates wakefulness and sleep: physiology and modeling. Journal of neurophysiology. 99 [PubMed]

Ferrillo F, Donadio S, De Carli F, Garbarino S, Nobili L. (2007). A model-based approach to homeostatic and ultradian aspects of nocturnal sleep structure in narcolepsy. Sleep. 30 [PubMed]

Fitzhugh R. (1961). Impulses and Physiological States in Theoretical Models of Nerve Membrane. Biophysical journal. 1 [PubMed]

Fuller PM, Saper CB, Lu J. (2007). The pontine REM switch: past and present. The Journal of physiology. 584 [PubMed]

HODGKIN AL, HUXLEY AF. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. The Journal of physiology. 117 [PubMed]

Hill S, Tononi G. (2005). Modeling sleep and wakefulness in the thalamocortical system. Journal of neurophysiology. 93 [PubMed]

Jewett ME, Kronauer RE. (1999). Interactive mathematical models of subjective alertness and cognitive throughput in humans. Journal of biological rhythms. 14 [PubMed]

John J, Wu MF, Boehmer LN, Siegel JM. (2004). Cataplexy-active neurons in the hypothalamus: implications for the role of histamine in sleep and waking behavior. Neuron. 42 [PubMed]

Kleitman N. (1987). Sleep and wakefulness.

Krahn LE, Black JL, Silber MH. (2001). Narcolepsy: new understanding of irresistible sleep. Mayo Clinic proceedings. 76 [PubMed]

Krueger JM, Obál F. (1993). A neuronal group theory of sleep function. Journal of sleep research. 2 [PubMed]

Lavie P. (1986). Ultrashort sleep-waking schedule. III. 'Gates' and 'forbidden zones' for sleep. Electroencephalography and clinical neurophysiology. 63 [PubMed]

Lu J et al. (2002). Selective activation of the extended ventrolateral preoptic nucleus during rapid eye movement sleep. The Journal of neuroscience : the official journal of the Society for Neuroscience. 22 [PubMed]

Lu J et al. (2003). Critical role of dorsomedial hypothalamic nucleus in a wide range of behavioral circadian rhythms. J Neurosci. 23

Lu J, Sherman D, Devor M, Saper CB. (2006). A putative flip-flop switch for control of REM sleep. Nature. 441 [PubMed]

Massaquoi SG, McCarley RW. (1992). Extension of the Limit Cycle Reciprocal Interaction Model of REM cycle control. An integrated sleep control model. Journal of sleep research. 1 [PubMed]

McCarley RW. (2007). Neurobiology of REM and NREM sleep. Sleep medicine. 8 [PubMed]

McCarley RW, Hobson JA. (1975). Neuronal excitability modulation over the sleep cycle: a structural and mathematical model. Science (New York, N.Y.). 189 [PubMed]

McCarley RW, Massaquoi SG. (1986). A limit cycle mathematical model of the REM sleep oscillator system. The American journal of physiology. 251 [PubMed]

McGinty D, Szymusiak R. (2003). Hypothalamic regulation of sleep and arousal. Frontiers in bioscience : a journal and virtual library. 8 [PubMed]

McGinty D, Szymusiak R, Gvilia I. (2007). Hypothalamic control of sleep. Sleep Med. 8

Merica H, Fortune RD. (2004). State transitions between wake and sleep, and within the ultradian cycle, with focus on the link to neuronal activity. Sleep medicine reviews. 8 [PubMed]

Mochizuki T et al. (2004). Behavioral state instability in orexin knock-out mice. The Journal of neuroscience : the official journal of the Society for Neuroscience. 24 [PubMed]

Morris C, Lecar H. (1981). Voltage oscillations in the barnacle giant muscle fiber. Biophysical journal. 35 [PubMed]

Nagumo J, Arimoto S, Yoshizawa S. (1962). An Active Pulse Transmission Line Simulating Nerve Axon Proceedings of the IRE. 50

Nobili L, Beelke M, Besset A, Billiard M, Ferrillo F. (2001). Nocturnal sleep features in narcolepsy: a model-based approach. Revue neurologique. 157 [PubMed]

Phillips AJ, Robinson PA. (2007). A quantitative model of sleep-wake dynamics based on the physiology of the brainstem ascending arousal system. Journal of biological rhythms. 22 [PubMed]

Phillips AJ, Robinson PA. (2008). Sleep deprivation in a quantitative physiologically based model of the ascending arousal system. Journal of theoretical biology. 255 [PubMed]

Plazzi G, Serra L, Ferri R. (2008). Nocturnal aspects of narcolepsy with cataplexy. Sleep medicine reviews. 12 [PubMed]

Porkka-Heiskanen T et al. (1997). Adenosine: a mediator of the sleep-inducing effects of prolonged wakefulness. Science (New York, N.Y.). 276 [PubMed]

Rubin JE, Shevtsova NA, Ermentrout GB, Smith JC, Rybak IA. (2009). Multiple rhythmic states in a model of the respiratory central pattern generator. Journal of neurophysiology. 101 [PubMed]

Sakurai T. (2007). The neural circuit of orexin (hypocretin): maintaining sleep and wakefulness. Nature reviews. Neuroscience. 8 [PubMed]

Saper CB, Chou TC, Scammell TE. (2001). The sleep switch: hypothalamic control of sleep and wakefulness. Trends in neurosciences. 24 [PubMed]

Saper CB, Scammell TE, Lu J. (2005). Hypothalamic regulation of sleep and circadian rhythms. Nature. 437 [PubMed]

Sasaki Y, Fukuda K, Takeuchi T, Inugami M, Miyasita A. (2000). Sleep onset REM period appearance rate is affected by REM propensity in circadian rhythm in normal nocturnal sleep. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 111 [PubMed]

Semba K, Deurveilher S. (2006). chap. Mapping Sleep-wake control with the transcription factor c-Fos Immediate early genes in sensory processing, cognitive performance and neurological disorders.

Siegel JM. (2006). The stuff dreams are made of: anatomical substrates of REM sleep. Nature neuroscience. 9 [PubMed]

Siegel JM. (2008). Do all animals sleep? Trends in neurosciences. 31 [PubMed]

Strogatz S. (1986). The mathematical structure of the human sleep-wake cycle.

Strogatz SH. (1987). Human sleep and circadian rhythms: a simple model based on two coupled oscillators. Journal of mathematical biology. 25 [PubMed]

Swick TJ. (2005). The neurology of sleep. Neurol Clin. 23

Takeuchi T, Ogilvie RD, Murphy TI, Ferrelli AV. (2003). EEG activities during elicited sleep onset REM and NREM periods reflect different mechanisms of dream generation. Electroencephalograms. Rapid eye movement. Clinical neurophysiology : official journal of the International Federation of Clinical Neurophysiology. 114 [PubMed]

Tamakawa Y, Karashima A, Koyama Y, Katayama N, Nakao M. (2006). A quartet neural system model orchestrating sleep and wakefulness mechanisms. Journal of neurophysiology. 95 [PubMed]

Wright KP, Hughes RJ, Kronauer RE, Dijk DJ, Czeisler CA. (2001). Intrinsic near-24-h pacemaker period determines limits of circadian entrainment to a weak synchronizer in humans. Proceedings of the National Academy of Sciences of the United States of America. 98 [PubMed]

Wu MF et al. (1999). Locus coeruleus neurons: cessation of activity during cataplexy. Neuroscience. 91 [PubMed]

Wu MF et al. (2004). Activity of dorsal raphe cells across the sleep-waking cycle and during cataplexy in narcoleptic dogs. The Journal of physiology. 554 [PubMed]

Yin W. (2007). A mathematical model of the sleep-wake cycle Master's thesis, Georgia Institute of Technology.

von_Economo C. (1930). Sleep as a problem of localization J Nerv Ment Dis. 71

This website requires cookies and limited processing of your personal data in order to function. By continuing to browse or otherwise use this site, you are agreeing to this use. See our Privacy policy and how to cite and terms of use.