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Nonsmooth Maps and the Fast-Slow Dynamics of Sleep-Wake Regulation: Part II

Conference paper
Part of the Trends in Mathematics book series (TM, volume 8)

Abstract

In part I, the Two-Process model for sleep-wake regulation was discussed and it was shown that it could usefully be represented as a one-dimensional map with discontinuities. Here, we discuss some recent, more physiological, models of sleep-wake dynamics. We describe how their fast-slow structure means that one can expect them to inherit many of the dynamical features of the Two-Process model.

Keywords

Neuronal Model nREM Sleep Slow Manifold Wake State Border Collision Bifurcation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The authors thank the Centre de Recerca Matemàtica for the opportunity to work with each other and other participants of the intensive programme on Advances in Nonsmooth Dynamics. VB acknowledges her collaborator on this work Cecilia Diniz-Behn and support from the National Science Foundation DMS-1412119.

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  • Anne C. Skeldon
    • 1
  • Gianne Derks
    • 1
  • Victoria Booth
    • 2
  1. 1.Department of MathematicsUniversity of SurreyGuildford, SurreyUK
  2. 2.Departments of Mathematics and AnesthesiologyUniversity of MichiganAnn ArborUSA

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