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Fractal fluctuations in cardiac time series

Author

Listed:
  • West, B.J.
  • Zhang, R.
  • Sanders, A.W.
  • Miniyar, S.
  • Zuckerman, J.H.
  • Levine, B.D.

Abstract

Human heart rate, controlled by complex feedback mechanisms, is a vital index of systematic circulation. However, it has been shown that beat-to-beat values of heart rate fluctuate continually over a wide range of time scales. Herein we use the relative dispersion, the ratio of the standard deviation to the mean, to show, by systematically aggregating the data, that the correlation in the beat-to-beat cardiac time series is a modulated inverse power law. This scaling property indicates the existence of long-time memory in the underlying cardiac control process and supports the conclusion that heart rate variability is a temporal fractal. We argue that the cardiac control system has allometric properties that enable it to respond to a dynamical environment through scaling.

Suggested Citation

  • West, B.J. & Zhang, R. & Sanders, A.W. & Miniyar, S. & Zuckerman, J.H. & Levine, B.D., 1999. "Fractal fluctuations in cardiac time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(3), pages 552-566.
    • Handle: RePEc:eee:phsmap:v:270:y:1999:i:3:p:552-566
    DOI: 10.1016/S0378-4371(99)00175-2
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    Cited by:

    1. Miao Yu & Dong Liu & Jean Dieu Bazimenyera, 2013. "Diagnostic Complexity of Regional Groundwater Resources System Based on time series fractal dimension and Artificial Fish Swarm Algorithm," Water Resources Management: An International Journal, Published for the European Water Resources Association (EWRA), Springer;European Water Resources Association (EWRA), vol. 27(7), pages 1897-1911, May.

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