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Analysis of a scenario for chaotic quantal slowing down of inspiration

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Baesens, Claude and MacKay, Robert S. (2013) Analysis of a scenario for chaotic quantal slowing down of inspiration. The Journal of Mathematical Neuroscience, Volume 3 (Number 1). Article number 18. doi:10.1186/2190-8567-3-18

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Official URL: http://dx.doi.org/10.1186/2190-8567-3-18

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Abstract

On exposure to opiates, preparations from rat brain stems have been observed to continue to produce regular expiratory signals, but to fail to produce some inspiratory signals. The numbers of expirations between two successive inspirations form an apparently random sequence. Here, we propose an explanation based on the qualitative theory of dynamical systems. A relatively simple scenario for the dynamics of interaction between the generators of expiratory and inspiratory signals produces pseudo-random behaviour of the type observed.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
R Medicine > RC Internal medicine > RC0321 Neuroscience. Biological psychiatry. Neuropsychiatry
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Dynamics , Neurosciences
Journal or Publication Title: The Journal of Mathematical Neuroscience
Publisher: SpringerOpen
ISSN: 2190-8567
Official Date: December 2013
Dates:
DateEvent
December 2013Published
Volume: Volume 3
Number: Number 1
Page Range: Article number 18
DOI: 10.1186/2190-8567-3-18
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access

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