Models of Cheyne-Stokes respiration with cardiovascular pathologies

DOI10.1007/S00285-008-0173-3zbMath1182.92018OpenAlexW2045962996WikidataQ51888975 ScholiaQ51888975MaRDI QIDQ1024755

William F. Langford, Fang Dong

Publication date: 17 June 2009

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-008-0173-3

zbMATH Keywords

stabilityHopf bifurcationscompartmental modelencephalitiscongestive heart failures

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Application models in control theory (93C95) Bifurcation theory for ordinary differential equations (34C23) Medical applications (general) (92C50) Physiology (general) (92C30) Qualitative investigation and simulation of ordinary differential equation models (34C60) Physiological flow (92C35)

Related Items (2)

The Effects of Body Fluid on Cheyne–Stokes Respiration ⋮ A model of the effects of fluid variation due to body position on Cheyne-Stokes respiration

Cites Work

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• Gain-induced oscillations in blood pressure
• Mathematical physiology
• Mathematical biology. Vol. 1: An introduction.
• Mathematical study of periodic breathing as an instability of the respiratory system
• Oscillation and Chaos in Physiological Control Systems

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