Journal Article

The role of the central chemoreceptor in causing periodic breathing

A. C. FOWLER and G. P. KALAMANGALAM

in Mathematical Medicine and Biology: A Journal of the IMA

Published on behalf of Institute of Mathematics and its Applications

Volume 17, issue 2, pages 147-167
Published in print January 2000 | ISSN: 1477-8599
Published online January 2000 | e-ISSN: 1477-8602 | DOI: http://dx.doi.org/10.1093/imammb/17.2.147
The role of the central chemoreceptor in causing periodic breathing

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In a previous publication (Fowler et al., 1993), we reduced the classical cardiorespiratory control model of (Grodins et al., 1967) to a much simpler form, which we then used to study the phenomenon of periodic breathing. In particular, cardiac output was assumed constant, and a single (constant) delay representing artenal blood transport time between lung and brain was included in the model. In this paper we extend this earlier work, both by allowing for the variability in transport delays, due to the dependence of cardiac output on blood gas concentrations, and also by including further delays in the system. In addition, we extensively discuss the physiological implications of parameter variations in the model; several novel mechanisms for periodic breathing in clinical situations are proposed. The results are discussed in the light of recent observational studies.

Keywords: Periodic breathing; Cheyne-Stokes respiration; heart-rate variability; differential-delay equations

Journal Article.  0 words. 

Subjects: Applied Mathematics ; Biomathematics and Statistics

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