Skip to main content

Cardiorespiratory Variability: Fractals, White Noise, Nonlinear Oscillators, and Linear Modeling. What’s to Be Learned

  • Conference paper
Rhythms in Physiological Systems

Part of the book series: Springer Series in Synergetics ((SSSYN,volume 55))

Abstract

Over the last 20 years, the study of heart rate (HR) variability has progressed from a phenomenological description of the spontaneous oscillations of HR to an understanding that relatively complex physiological control systems underlie the observed beat-to-beat fluctuations. Many of the current concepts have evolved from the use of either linear analysis techniques or linear systems modeling to evaluate classical physiological control systems such as respiratory sinus arrhythmia or the arterial baroreflex. Despite these efforts, linear techniques have only been successful at explaining a portion of the total variance in HR and arterial blood pressure (ABP). The remaining variance must be accounted for in one of two ways: 1) more complex linear models, or 2) nonlinear system elements which may contribute both locally and globally to the process of physiologic equilibrium known as homeostasis. This paper attempts to briefly examine both possibilities.

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

Access this chapter

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

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Akselrod, S., D. Gordon, F.A. Übel, D.C. Shannon, A.C. Barger, and R.J. Cohen. Power spectrum analysis of heart rate fluctuations: a quantitative probe of beat-to- beat cardiovascular control. Science 213: 220–222,1981.

    Article  ADS  Google Scholar 

  2. Pomeranz, B., R.J.B. MaCaulay, M.A. Caudill, I. Kutz, D. Adam, D. Gordon, K.M. Kilborn, A.C. Barger, D.C. Shannon, RJ. Cohen, and H. Benson. Assessment of autonomic function in humans by heart rate spectral analysis. Am. J. Physiol. 248: H151-H153, 1985.

    Google Scholar 

  3. Saul, J.P., Y. Arai, R.D. Berger, L.S. Lilly, W.S. Colucci, and RJ. Cohen. Assessment of autonomic regulation in chronic congestive heart failure by heart rate spectral analysis. Am J Cardiol 61: 1292–1299, 1988.

    Article  Google Scholar 

  4. Kitney, R.I. and O. Rompelman. The Study of Heart-rate Variability. New York: Oxford Univ. Press, 1980.

    Google Scholar 

  5. 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, in Cardiol. 14: 419–422, 1987.

    Google Scholar 

  6. Sands, K.E.F., M.L. Appel, L.S. Lilly, F.J. Schoen, G.H. Mudge, and R.J. Cohen. Power spectrum analysis of heart rate variability in human cardiac transplant recipients. Circulation 79: 76–82, 1989.

    Article  Google Scholar 

  7. Berger, R.D., J.P. Saul, and R.J. Cohen. Transfer function analysis of autonomic regulation: I - the canine atrial rate response. Am. J. Physiol. 2 5: H142-H152, 1989.

    Google Scholar 

  8. Saul, J.P., R.D. Berger, M.H. Chen, and R J. Cohen. Transfer function analysis of autonomic regulation: II - respiratory sinus arrhythmia. Am. J. Physiol. 25: H153-H161, 1989.

    Google Scholar 

  9. Berger, R.D., J.P. Saul, P. Albrecht, SP. Stein, and RJ. Cohen. Respiratory effects on arterial pressure: a novel signal analysis approach. Proc. IEEE EMBS 10: 533–534,1988.

    Google Scholar 

  10. Saul, J.P., R.D. Berger, P. Albrecht, SP. Stein, M.H. Chen, and RJ. Cohen. Transfer function analysis of the circulation: unique insights into cardiovascular regulation. Submitted for publication, 1990.

    Google Scholar 

  11. Berger, R.D., MP. Fogaca, JP. Saul, and RJ. Cohen. Transfer function analysis of cardiovascular regulation in an open-loop animal model. Comp, in Cardiol., 1989.

    Google Scholar 

  12. Dykes, F.D., P.A. Ahmann, K. Baldzer, T.A. Carrigan, R. Kitney, and DP. Giddens. Breath amplitude modulation of heart rate variabiliy in normal full term neonates. Ped. Research 20: 301–308, 1986.

    Article  Google Scholar 

  13. Madwed, J.B., KJE. Sands, JP. Saul, and R.J. Cohen. Spectral analysis of beat-to- beat variability in heart rate and arterial blood pressure during hemorrhage and aortic constriction. In: Neural Mechanisms and Cardiovascular Disease, edited by B. Lown, A. Malliani, M. Porsdecimi. Padova: Liviana Press, 1986, pp. 291–302.

    Google Scholar 

  14. Kaiser, F. Entrainment-quasiperiodicity-chaos-collapse: bifurcation routes of externally driven self-sustained oscillating systems. In: Nonlinear electrodynamics in biological systems, edited by W. Ross Adey and AP. Lawrence. New York: Plenum, 1983, pp. 393–411.

    Google Scholar 

  15. Winfree, A.T. In: The geometry of biological time, New York: Springer-Verlag, 1980.

    MATH  Google Scholar 

  16. Kobayashi, M. and T. Musha. 1/f fluctuation of heartbeat period. IEEE Trans. Biomed. Eng. BME-29: 456–457, 1982.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1991 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Saul, J.P. (1991). Cardiorespiratory Variability: Fractals, White Noise, Nonlinear Oscillators, and Linear Modeling. What’s to Be Learned. In: Haken, H., Koepchen, H.P. (eds) Rhythms in Physiological Systems. Springer Series in Synergetics, vol 55. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-76877-4_9

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-76877-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-76879-8

  • Online ISBN: 978-3-642-76877-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics