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Volume 2017, Article ID 4797545, 7 pages
https://doi.org/10.1155/2017/4797545
Research Article

Computer Simulation of Noise Effects of the Neighborhood of Stimulus Threshold for a Mathematical Model of Homeostatic Regulation of Sleep-Wake Cycles

1School of Mechanical & Electronical Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2Editorial Department of Journal of Lanzhou University of Technology, Lanzhou University of Technology, Lanzhou 730050, China
3Department of Physics, Lanzhou University of Technology, Lanzhou 730050, China

Correspondence should be addressed to Wuyin Jin; moc.liamtoh@nijniyuw

Received 4 July 2017; Accepted 13 September 2017; Published 22 October 2017

Academic Editor: Sajad Jafari

Copyright © 2017 Wuyin Jin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The noise effects on a homeostatic regulation of sleep-wake cycles’ neuronal mathematical model determined by the hypocretin/orexin and the local glutamate interneurons spatiotemporal behaviors are studied within the neighborhood of stimulus threshold in this work; the neuronal noise added to the stimulus, the conductance, and the activation variable of the modulation function are investigated, respectively, based on a circadian input skewed in sine function. The computer simulation results suggested that the increased amplitude of external current input will lead to the fact that awakening time is advanced but the sleepy time remains the same; for the bigger conductance and modulation noise, the regulatory mechanism of the model sometimes will be collapsed and the coupled two neurons of the model show very irregular activities; the falling asleep or wake transform appears at nondeterminate time.