Fractal fluctuations in cardiac time series

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

Research output: Contribution to journalArticle

28 Citations (Scopus)

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.

Original languageEnglish (US)
Pages (from-to)552-566
Number of pages15
JournalPhysica A: Statistical Mechanics and its Applications
Volume270
Issue number3
DOIs
StatePublished - Aug 15 1999

Fingerprint

Beat
Cardiac
heart rate
Fractal
synchronism
fractals
Time series
Fluctuations
Heart Rate
Scaling
Heart Rate Variability
scaling
Process Control
Standard deviation
standard deviation
Power Law
Time Scales
Control System
Range of data

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics

Cite this

Fractal fluctuations in cardiac time series. / West, B. J.; Zhang, R.; Sanders, A. W.; Miniyar, S.; Zuckerman, J. H.; Levine, B. D.

In: Physica A: Statistical Mechanics and its Applications, Vol. 270, No. 3, 15.08.1999, p. 552-566.

Research output: Contribution to journalArticle

West, B. J. ; Zhang, R. ; Sanders, A. W. ; Miniyar, S. ; Zuckerman, J. H. ; Levine, B. D. / Fractal fluctuations in cardiac time series. In: Physica A: Statistical Mechanics and its Applications. 1999 ; Vol. 270, No. 3. pp. 552-566.
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