Wake-sleep transition as a noisy bifurcation

Dong-Ping Yang, Lauren McKenzie-Sell, Angela Karanjai, and P. A. Robinson
Phys. Rev. E 94, 022412 – Published 15 August 2016

Abstract

A recent physiologically based model of the ascending arousal system is used to analyze the dynamics near the transition from wake to sleep, which corresponds to a saddle-node bifurcation at a critical point. A normal form is derived by approximating the dynamics by those of a particle in a parabolic potential well with dissipation. This mechanical analog is used to calculate the power spectrum of fluctuations in response to a white noise drive, and the scalings of fluctuation variance and spectral width are derived versus distance from the critical point. The predicted scalings are quantitatively confirmed by numerical simulations, which show that the variance increases and the spectrum undergoes critical slowing, both in accord with theory. These signals can thus serve as potential precursors to indicate imminent wake-sleep transition, with potential application to safety-critical occupations in transport, air-traffic control, medicine, and heavy industry.

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  • Received 1 February 2016

DOI:https://doi.org/10.1103/PhysRevE.94.022412

Published by the American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsInterdisciplinary PhysicsNonlinear Dynamics

Authors & Affiliations

Dong-Ping Yang1,2,*, Lauren McKenzie-Sell1, Angela Karanjai1, and P. A. Robinson1,2

  • 1School of Physics, University of Sydney, New South Wales 2006, Australia
  • 2Center for Integrative Brain Function, University of Sydney, New South Wales 2006, Australia

  • *dp.yang@sydney.edu.au

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Vol. 94, Iss. 2 — August 2016

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