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Periodic breathing at high altitude.

Andrew C Fowler1, G P Kalamangalam

  • 1Mathematical Institute, University of Oxford, 24-29 St. Giles', Oxford OX1 3LB, UK. fowler@maths.ox.ac.uk

IMA Journal of Mathematics Applied in Medicine and Biology
|June 28, 2003
PubMed
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This study models periodic breathing, a respiratory pattern linked to heart disease and high altitudes. The research uses a mathematical model to explore fast dynamics of arterial carbon dioxide levels.

Area of Science:

  • Physiology
  • Mathematical Modeling
  • Respiratory Control

Background:

  • Periodic breathing, including Cheyne-Stokes breathing, is associated with cardiovascular diseases and can occur in healthy individuals at high altitudes.
  • Cheyne-Stokes breathing typically has a period of approximately one minute, while high-altitude periodic breathing periods are shorter (15-20 s).

Purpose of the Study:

  • To investigate the dynamics of periodic breathing using a mathematical model.
  • To focus on the fast dynamics of arterial carbon dioxide (CO2) concentration in respiratory control.

Main Methods:

  • Utilized the Grodins et al. (1967) model for respiratory control.
  • Incorporated a ventilation response to blood CO2 concentration, modulated by reduced oxygen pressure (the 'Oxford fan').

Related Experiment Videos

  • Focused on arterial CO2 dynamics, generalizing the Mackey-Glass model.

    • Main Results:

    • The model captures the fast dynamics of arterial CO2 in periodic breathing.
    • The 'Oxford fan' concept modulates ventilation based on oxygen levels.
    • The model serves as a generalization of simpler models like the Mackey-Glass model.

    Conclusions:

    • The developed model provides insights into the mechanisms of periodic breathing, particularly at high altitudes.
    • The focus on arterial CO2 dynamics offers a new perspective compared to previous models emphasizing brain CO2.
    • This approach advances the understanding of respiratory control under varying physiological conditions.