Mathematical model of the human circadian system with two interacting oscillators.

  title={Mathematical model of the human circadian system with two interacting oscillators.},
  author={R. Kronauer and C. Czeisler and S. Pilato and M. Moore-Ede and E. Weitzman},
  journal={The American journal of physiology},
  volume={242 1},
Human subjects during extended isolation from environmental time cues show complex variations in timing and duration of sleep with a progressive pattern, which eventually results in rest-activity and body temperature rhythms having different average periods. We present a model where temperature and rest-activity are each governed by an oscillator of the van der Pol type, denoted x and y, respectively. The oscillators affect one another through "velocity" type coupling, the effect of x on y… Expand

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  • S. Strogatz
  • Physics, Medicine
  • Journal of mathematical biology
  • 1987