Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model

  title={Bifurcations of Sleep Patterns due to Homeostatic and Circadian Variation in a Sleep-Wake Flip-Flop Model},
  author={Christina Athanasouli and Sofia H. Piltz and Cecilia G. Diniz Behn and Victoria Booth},
  journal={SIAM J. Appl. Dyn. Syst.},
Differential equation-based physiological models of sleep-wake networks describe sleep-wake regulation by simulating the activity of wakeand sleep-promoting neuronal populations and the modulation of these populations by homeostatic and circadian (∼ 24 h) drives. Here, we consider a sleep-wake flip-flop network model consisting of mutually inhibitory interactions between wakeand sleep-promoting neuronal populations. Motivated by changes in sleep behavior during early childhood as babies… 



A Fast-Slow Analysis of the Dynamics of REM Sleep

This study exploits the naturally arising slow time scale of the homeostatic sleep drive in a reduced sleep-wake regulatory network model to utilize fast-slow analysis to investigate the dynamics of rapid eye movement (REM) sleep regulation.

Modeling Interindividual Differences in Spontaneous Internal Desynchrony Patterns

Analysis of the model suggests that similar mechanisms underlie several different desynchronized behaviors and that the phenomenon of phase trapping may be dependent on SCN modulation of REM sleep-promoting centers.

A mathematical model of the sleep/wake cycle

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

Mathematical Models for Sleep-Wake Dynamics: Comparison of the Two-Process Model and a Mutual Inhibition Neuronal Model

It is shown that in the two-process model, transitions between different numbers of daily sleep episodes can be classified as grazing bifurcations, which provides the theoretical underpinning for numerical results showing that the sleep patterns of many mammals can be explained by the mutual inhibition model.

Mathematical model of network dynamics governing mouse sleep-wake behavior.

This model provides a novel framework to explore dynamical principles that may underlie normal and pathologic sleep-wake physiology and suggests distinct network mechanisms for the two types of wakefulness.

Timing of human sleep: recovery process gated by a circadian pacemaker.

The model shows that the experimental data are consistent with the concept of a single circadian pacemaker in humans, which has implications for the understanding of sleep as a restorative process and its timing with respect to day and night.

Interindividual differences in the dynamics of the homeostatic process are trait‐like and distinct for sleep versus wakefulness

It is concluded that interindividual differences in the parameters of the dynamics of the sleep homeostatic Process S are trait‐like.

A Quantitative Model of Sleep-Wake Dynamics Based on the Physiology of the Brainstem Ascending Arousal System

A quantitative, physiology-based model of the ascending arousal system is developed, using continuum neuronal population modeling, which involves averaging properties such as firing rates across neurons in each population, and predicts hysteresis in the sleep-wake cycle.