Possible Fractal and/or Chaotic Breathing Patterns in Resting Humans

  • R. L. Hughson
  • Y. Yamamoto
  • J. -O. Fortrat
  • R. Leask
  • M. S. Fofana


Déjours[5] was one of the first to comment on the breath-by-breath variations in ventilation (V,:) and gas exchange (oxygen uptake, VO2, and carbon dioxide output, VCO2). It was suggested that the spontaneous variations in alveolar ventilation and perfusion of the lungs, as well as variations in venous blood O2 and CO2 content, were responsible for these breath-by-breath patterns. He observed that all fundamental respiratory variables varied around the mean value. Since that time, there have been many other observations of breath-by-breath variation in the breathing pattern. Lenfant[13] further characterized the pattern of variation, and Hlastala et al.[9] observed cyclical variations in functional residual capacity (FRC). Attempts to quantify the breath-by- breath variation have ranged from computation of autocorrelation functions by Benchetrit and Bertrand,[1] to analysis of run times[2] to more recent methods of spectral analysis,[11],[24] and of chaos theory[6],[15],[17]–[19]. The implication of fractal and/or chaotic behaviour in the breathing pattern has wide ranging consequences including, for chaotic systems, the requirement that the system be deterministic. The purpose of this paper is to explore further whether patterns of breathing are consistent with the properties of fractal or chaotic systems


Heart Rate Variability Lyapunov Exponent Chaotic System Breathing Pattern Surrogate Data 
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Copyright information

© Plenum Press 1996

Authors and Affiliations

  • R. L. Hughson
    • 1
  • Y. Yamamoto
    • 1
  • J. -O. Fortrat
    • 1
  • R. Leask
    • 1
  • M. S. Fofana
    • 1
  1. 1.Department of KinesiologyUniversity of WaterlooWaterlooCanada

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