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Booth V, Xique I, Diniz Behn C (2017) One-Dimensional Map for the Circadian Modulation of Sleep in a Sleep-Wake Regulatory Network Model for Human Sleep SIAM Journal on Applied Dynamical Systems 16:1089-1112

   Human sleep-wake regulatory network model (Gleit et al 2013, Booth et al 2017)

References and models cited by this paper

References and models that cite this paper

Abrahamson EE, Leak RK, Moore RY (2001) The suprachiasmatic nucleus projects to posterior hypothalamic arousal systems. Neuroreport 12:435-40 [PubMed]

Aston-Jones G, Chen S, Zhu Y, Oshinsky ML (2001) A neural circuit for circadian regulation of arousal. Nat Neurosci 4:732-8 [Journal] [PubMed]

Behn CGD,Booth V (2012) A fast-slow analysis of the dynamics of REM sleep SIAM J 11:212-242

Booth V, Diniz Behn CG (2014) Physiologically-based modeling of sleep-wake regulatory networks. Math Biosci 250:54-68 [Journal] [PubMed]

Carskadon M,Dement WC (2011) Normal human sleep: an overview Principles and Practice of Sleep Medicine, Kryger MH:Roth T:Dement WC, ed. pp.16

Czeisler CA,Buxton OM (2011) The human circadian timing system and sleep/wake regulation Principles and Practice of Sleep Medicine, Kryger M:Roth T:Dement W, ed.

Daan S, Beersma DG, Borbély AA (1984) Timing of human sleep: recovery process gated by a circadian pacemaker. Am J Physiol 246:R161-83 [Journal] [PubMed]

Dayan P, Abbott LF (2001) Theoretical Neuroscience. Computational and Mathematical Modeling of Neural Systems

Deboer T, Vansteensel MJ, Détári L, Meijer JH (2003) Sleep states alter activity of suprachiasmatic nucleus neurons. Nat Neurosci 6:1086-90 [Journal] [PubMed]

Deco G, Jirsa VK, Robinson PA, Breakspear M, Friston K (2008) The dynamic brain: from spiking neurons to neural masses and cortical fields. PLoS Comput Biol 4:e1000092 [Journal] [PubMed]

Devaney R (1989) An Introduction to Chaotic Dynamical Systems (2nd ed)

Di Bernardo M,Budd CJ,Champneys AR (2001) Normal form maps for grazing bifurcations in n-dimensional piecewise-smooth dynamical systems Phys. D 160:222-254

Diekman CO, Bose A (2016) Entrainment Maps. J Biol Rhythms 31:598-616 [Journal] [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. J Neurosci 15:3526-38 [PubMed]

Dijk DJ, Lockley SW (2002) Integration of human sleep-wake regulation and circadian rhythmicity. J Appl Physiol (1985) 92:852-62 [Journal] [PubMed]

Edgar DM, Dement WC, Fuller CA (1993) Effect of SCN lesions on sleep in squirrel monkeys: evidence for opponent processes in sleep-wake regulation. J Neurosci 13:1065-79 [PubMed]

Ermentrout B (1998) Neural nets as spatio-temporal pattern forming systems Rep Prog Phys 61:353-430

Ermentrout GB (2002) Simulating, Analyzing, and Animating Dynamical System: A Guide to XPPAUT for Researchers and Students Society for Industrial and Applied Mathematics (SIAM)

Feinberg I, Floyd TC (1979) Systematic trends across the night in human sleep cycles. Psychophysiology 16:283-91 [PubMed]

Forger DB, Jewett ME, Kronauer RE (1999) A simpler model of the human circadian pacemaker. J Biol Rhythms 14:532-7 [PubMed]

Glass L, Kaplan D (1993) Time series analysis of complex dynamics in physiology and medicine. Med Prog Technol 19:115-28 [PubMed]

Gleit RD, Diniz Behn CG, Booth V (2013) Modeling interindividual differences in spontaneous internal desynchrony patterns. J Biol Rhythms 28:339-55 [Journal] [PubMed]

   Human sleep-wake regulatory network model (Gleit et al 2013, Booth et al 2017) [Model]

Kronauer RE,Forger DB,Jewett ME (2000) Erratum: Quantifying human circadian pacemaker response to brief, extended, and repeated light stimuli over the photopic range J. Biol. Rhythms 15:184-186

McCarley RW, Hobson JA (1975) Neuronal excitability modulation over the sleep cycle: a structural and mathematical model. Science 189:58-60 [PubMed]

McCarley RW, Massaquoi SG (1986) A limit cycle mathematical model of the REM sleep oscillator system. Am J Physiol 251:R1011-29 [Journal] [PubMed]

Mistlberger RE (2005) Circadian regulation of sleep in mammals: role of the suprachiasmatic nucleus. Brain Res Brain Res Rev 49:429-54 [Journal] [PubMed]

Moore RY (1997) Circadian rhythms: basic neurobiology and clinical applications. Annu Rev Med 48:253-66 [Journal] [PubMed]

Nakao M, Sakai H, Yamamoto M (1997) An interpretation of the internal desynchronizations based on dynamics of the two-process model. Methods Inf Med 36:282-5 [PubMed]

Nordmark AB (1991) Non-periodic motion caused by grazing incidence in an impact oscillator J. Sound Vib. 145:279-297

Phillips AJ, Czeisler CA, Klerman EB (2011) Revisiting spontaneous internal desynchrony using a quantitative model of sleep physiology. J Biol Rhythms 26:441-53 [Journal] [PubMed]

Phillips AJ, Robinson PA (2007) A quantitative model of sleep-wake dynamics based on the physiology of the brainstem ascending arousal system. J Biol Rhythms 22:167-79 [Journal] [PubMed]

   Quantitative model of sleep-wake dynamics (Phillips & Robinson 2007) [Model]

Phillips AJ, Robinson PA (2008) Sleep deprivation in a quantitative physiologically based model of the ascending arousal system. J Theor Biol 255:413-23 [Journal] [PubMed]

   Sleep deprivation in the ascending arousal system (Phillips & Robinson 2008) [Model]

Rusterholz T, Dürr R, Achermann P (2010) Inter-individual differences in the dynamics of sleep homeostasis. Sleep 33:491-8 [PubMed]

Sahar S, Sassone-Corsi P (2009) Metabolism and cancer: the circadian clock connection. Nat Rev Cancer 9:886-96 [Journal] [PubMed]

Saper CB, Chou TC, Scammell TE (2001) The sleep switch: hypothalamic control of sleep and wakefulness. Trends Neurosci 24:726-31 [PubMed]

Saper CB, Scammell TE, Lu J (2005) Hypothalamic regulation of sleep and circadian rhythms. Nature 437:1257-63 [Journal] [PubMed]

Scheer FA, Hilton MF, Mantzoros CS, Shea SA (2009) Adverse metabolic and cardiovascular consequences of circadian misalignment. Proc Natl Acad Sci U S A 106:4453-8 [Journal] [PubMed]

Serkh K, Forger DB (2014) Optimal schedules of light exposure for rapidly correcting circadian misalignment. PLoS Comput Biol 10:e1003523 [Journal] [PubMed]

Skeldon AC, Dijk DJ, Derks G (2014) Mathematical models for sleep-wake dynamics: comparison of the two-process model and a mutual inhibition neuronal model. PLoS One 9:e103877 [Journal] [PubMed]

Strogatz SH, Kronauer RE, Czeisler CA (1987) Circadian pacemaker interferes with sleep onset at specific times each day: role in insomnia. Am J Physiol 253:R172-8 [Journal] [PubMed]

Wilson HR, Cowan JD (1972) Excitatory and inhibitory interactions in localized populations of model neurons. Biophys J 12:1-24 [Journal] [PubMed]

   Excitatory and inhibitory interactions in populations of model neurons (Wilson and Cowan 1972) [Model]

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