Computer simulation of noise effects of the neighborhood of stimulus threshold for a mathematical model of homeostatic regulation of sleep-wake cycles
type: Item
instance of: scholarly article
title: Computer simulation of noise effects of the neighborhood of stimulus threshold for a mathematical model of homeostatic regulation of sleep-wake cycles
zbMATH Open document ID: 1377.93031
DOI: 10.1155/2017/4797545
author: Qian Lin
author: An Wang
author: Wu-Yin Jin
author: Chun-Ni Wang
published in: Complexity
publication date: 2018-01-03T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 93A30
Mathematics Subject Classification ID: 92C20
Mathematics Subject Classification ID: 93B40
zbMATH DE Number: 6821581
zbMATH Keywords: sleep-wake cycles' neuronal mathematical model
zbMATH Keywords: local glutamate interneurons spatiotemporal behavior
Wikidata QID: Q59380695
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/4797545
OpenAlex ID: W2765929416
cites work: Dynamics and Physiological Roles of Stochastic Firing Patterns Near Bifurcation Points
cites work: Circadian regulation of sleep-wake behaviour in nocturnal rats requires multiple signals from suprachiasmatic nucleus
cites work: A mathematical model of the sleep/wake cycle
cites work: Formation of autapse connected to neuron and its biological function
DBLP publication ID: journals/complexity/JinLWW17
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description: scientific article; zbMATH DE number 6821581