Skip to main content

Possible Fractal and/or Chaotic Breathing Patterns in Resting Humans

  • Chapter

Abstract

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

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD   109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benchetrit, G. and F. Bertrand. A short term memory in the respiratory centres: statistical analysis. Resp. Physiol. 23: 147–158, 1975.

    Article  CAS  Google Scholar 

  2. Bolton, D. P. G. and J. Marsh. Analysis and interpretation of turning points and run lengths in breath-by-breath ventilatory variables. J. Physiol. (London) 351 451–4591984.

    CAS  Google Scholar 

  3. Butler, G. C., Y. Yamamoto, and R. L. Hughson. Heart rate variability and fractal dimension during orthostatic challenges. J. Appl. Physiol. 752602–26121993.

    PubMed  CAS  Google Scholar 

  4. DeBoer, R. W., J._M. Karemaker. and J. Strackee. Comparing spectra of a series of point events particularly for heart rate variability data. IEEE Trans. Biomed. Eng. 31: 384–387, 1984.

    Article  PubMed  CAS  Google Scholar 

  5. Dejours, P., R. Puccinelli, J. Armand, and M. Dicharry. Breath-to-breath variations of pulmonary gas exchange in resting man. Respir. Physiol. 1: 265–280, 1966.

    Article  PubMed  CAS  Google Scholar 

  6. Donaldson, G. C. The chaotic behaviour of resting human respiration. Respir. Physiol. 88: 313–321, 1992.

    Article  PubMed  CAS  Google Scholar 

  7. Glass, L. and D. Kaplan. Time series analysis of complex dynamics in physiology and medicine. Med. Prog. Technol. 19: 115–128, 1993.

    PubMed  CAS  Google Scholar 

  8. Goldberger, A. L., D. R. Rigney. and B. J. West. Chaos and fractals in human physiology. Sci. Am. 262: 42–49. 1990.

    Article  PubMed  CAS  Google Scholar 

  9. Hlastala. M. P., B. Wranne, and C. J. Lenfant. Cyclical variations in FRC and other respiratory variables in resting man. J. Appl. Physiol. 34: 670–676, 1973.

    PubMed  CAS  Google Scholar 

  10. Hughson, R. L.. D. R. Northey, H. C. Xing, B. H. Dietrich, and J. E. Cochrane. Alignment of ventilation and gas fraction for breath-by-breath respiratory gas exchange calculations in exercise. Comput. Biomed. Res. 24: 118–128, 1991.

    Article  PubMed  CAS  Google Scholar 

  11. Hughson, R. L. and Y. Yamamoto. On the fractal nature of breath-by-breath variation in ventilation during dynamic exercise. In: Control of Breathing and Its Modeling Perspectives, edited by Y. Honda. Y. Miyamoto. K. Konno, and J. Widdicombe. New York: Plenum Press, 1992. p. 255–262.

    Google Scholar 

  12. Kennel, M. B., R. Brown, and H. D. I. Abarbanel. Determining embedding dimension for phase-space reconstruction using geometrical construction. Phys. Rev. 45: 3403–3410, 1992.

    Article  Google Scholar 

  13. Lenfant, C. Time-dependent variations of pulmonary gas exchange in normal man at rest. J. Appl. Physiol. 22: 675–684, 1967.

    PubMed  CAS  Google Scholar 

  14. Ruelle, D. Deterministic chaos: the science and the fiction. Proc. R. Soc. Lond. A. 427: 241–248, 1990.

    Article  Google Scholar 

  15. Sammon, M. Symmetry, bifurcations, and chaos in a distributed respiratory control system. J. Appl. Physiol. 77: 2481–2495, 1994.

    PubMed  CAS  Google Scholar 

  16. Sammon, M. Geometry of respiratory phase switching. J. Appl. Physiol. 77: 2468–2480, 1994.

    PubMed  CAS  Google Scholar 

  17. Sammon, M., J. R. Romaniuk, and E. N. Bruce. Bifurcations of the respiratory pattern associated with reduced lung volume in the rat. J. Appl. Physiol. 75: 887–901, 1993.

    PubMed  CAS  Google Scholar 

  18. Sammon, M., J. R. Romaniuk, and E. N. Bruce. Role of deflation-sensitive feedback in control of end-expiratory volume in rats. J. Appl. Physiol. 75: 902–911, 1993.

    PubMed  CAS  Google Scholar 

  19. Sammon, M., J. R. Romaniuk, and E. N. Bruce. Bifurcations of the respiratory pattern produced with phasic vagal stimulation in the rat. J. Appl. Physiol. 75: 912–926, 1993.

    PubMed  CAS  Google Scholar 

  20. Sano, M. and Y. Sawada. Measurement of Lyapunov spectrum from a chaotic time series. Phys. Rev. Lett. 55: 1082–1085. 1985.

    Article  PubMed  Google Scholar 

  21. Saul, J. P., P. Albrecht, R. D. Berger, and R. J. Cohen. Analysis of long term heart rate variability: methods, 1/f scaling and implications. Comp. Cardiol. 14: 419–422, 1988.

    CAS  Google Scholar 

  22. Schepers, H. E., J. H. G. M. Van Beek, and J. B. Bassingthwaighte. Four methods to estimate the fractal dimension from self-affine signals. IEEE Eng. Med. Biol. June: 57–71, 1992.

    Google Scholar 

  23. Sugihara, G. and R. M. May. Nonlinear forecasting as a way of distinguishing chaos from measurement error in time series. Nature 344: 734–741, 1990.

    Article  PubMed  CAS  Google Scholar 

  24. Szeto, H. H., P. Y. Cheng, J, A. Decena, Y. Cheng, D.-L. Wu, and G. Dwyer. Fractal properties in fetal breathing dynamics. Am. J. Physiol. Regul. Integr. Comp. Physiol. 263: R141–R147, 1992.

    CAS  Google Scholar 

  25. Theiler, J., S. Eubank, A. Longtin, B. Galdrikian, and J. D. Farmer. Testing for nonlinearity in time series: the method of surrogate data. Physica D 58: 77–94, 1992.

    Article  Google Scholar 

  26. Tuck, S. A., Y. Yamamoto, and R. L. Hughson. The effects of hypoxia and hyperoxia on the 1/f nature of breath-by-breath ventilatory variability. In: Modelling and Control of Ventilation, edited by S. Semple, L. Adams and B. Wfaipp. NY: Plenum, 1995, p.297–302.

    Google Scholar 

  27. Wagner, P. G. and F. L. Eldridge. Development of short-term potentiation of respiration. Respir. Physiol. 83: 129–140, 1991.

    Article  PubMed  CAS  Google Scholar 

  28. Wolf, A., J. B. Swift, H. L. Swinney, and J. A. Vastano. Determining Lyapunov exponents from a time series. Physica D 16: 285–317, 1985.

    Article  Google Scholar 

  29. Yamamoto, Y., J. O. Fortrat, and R. L. Hughson. On the fractal nature of heart rate variability in humans: effects of respiratory sinus arrhythmia. Am. J. Physiol. Heart Circ. Physiol 269:H480–H486, 1995.

    CAS  Google Scholar 

  30. Yamamoto, Y. and R. L. Hughson. Extracting fractal components from time series. Physica D 68: 250–264, 1993.

    Article  Google Scholar 

  31. Yamamoto, Y. and R. L. Hughson. On the fractal nature of heart rate variability in humans: effects of data length and β-adrenergic blockade. Am. J. Physiol 266: R40–R49, 1994.

    PubMed  CAS  Google Scholar 

  32. Yamamoto, Y., R. L. Hughson, J. R. Sutton, C. S. Houston, A. Cymerman, E. L. Fallen, and M. V. Kamath. Operation Everest II: An indication of deterministic chaos in human heart rate variability at extreme simulated altitude. Biol. Cybern. 69: 205–212, 1993.

    Article  PubMed  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 1996 Plenum Press

About this chapter

Cite this chapter

Hughson, R.L., Yamamoto, Y., Fortrat, J.O., Leask, R., Fofana, M.S. (1996). Possible Fractal and/or Chaotic Breathing Patterns in Resting Humans. In: Bioengineering Approaches to Pulmonary Physiology and Medicine. Springer, Boston, MA. https://doi.org/10.1007/978-0-585-34964-0_12

Download citation

  • DOI: https://doi.org/10.1007/978-0-585-34964-0_12

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-306-45370-0

  • Online ISBN: 978-0-585-34964-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics