Skip to main content


A neurobiological model of the human sleep/wake cycle

Article metrics

  • 1984 Accesses

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, sleep-deprived and nap conditions, as well as ultradian rhythms. Additionally, if the input from the neurotransmitter orexin is removed, the system exhibits more frequent switching between sleep and wakefulness, consistent with the sleep disorder narcolepsy. The model demonstrates how each of 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 [1]. The model is based on Saper's two flip-flop models for sleep/wake [2] and REM/NREM [3] and we explore whether the neuronal components in Saper's flip-flop models, with the addition of a sleep-homeostatic process, are sufficient to account for the features of the sleep/wake cycle listed above. The model is minimal in the sense that, besides the sleep homeostat and constant cortical drives, the model includes only those nuclei described in Saper's flip/flop models. Each of the cell groups is modeled by at most two differential equations for the evolution of the total population activity and the synaptic connections are consistent with those described in Saper's models. However, in order to account for certain features of the ultradian rhythms, we found it necessary to add an additional hypothesis about the connections.


  1. 1.

    Borbely A: A two process model of sleep regulation. Hum Neurobiol. 1982, 1: 195-204.

  2. 2.

    Chou TC, Scammell TE, Saper CB: The sleep switch: hypothalamic control of sleep and wakefulness. Trends in Neurosciences. 2001, 24: 726-731. 10.1016/S0166-2236(00)02002-6.

  3. 3.

    Lu J, Sherman D, Devor M, Saper CB: A putative flip-flop switch for control of REM sleep. Nature. 2006, 441: 589-594. 10.1038/nature04767.

Download references

Author information

Correspondence to Michael J Rempe.

Rights and permissions

Open Access This article is published under license to BioMed Central Ltd. This is an Open Access article is distributed under the terms of the Creative Commons Attribution 2.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Reprints and Permissions

About this article


  • Sleep Disorder
  • Population Activity
  • Synaptic Connection
  • Narcolepsy
  • Biological Basis