Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
- 1 March 1995
- journal article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 5 (1), 82-87
- https://doi.org/10.1063/1.166141
Abstract
The healthy heartbeat is traditionally thought to be regulated according to the classical principle of homeostasis whereby physiologic systems operate to reduce variability and achieve an equilibrium-like state [Physiol. Rev. 9, 399–431 (1929)]. However, recent studies [Phys. Rev. Lett. 70, 1343–1346 (1993); Fractals in Biology and Medicine (Birkhauser-Verlag, Basel, 1994), pp. 55–65] reveal that under normal conditions, beat-to-beat fluctuations in heart rate display the kind of long-range correlations typically exhibited by dynamical systems far from equilibrium [Phys. Rev. Lett. 59, 381–384 (1987)]. In contrast, heart rate time series from patients with severe congestive heart failure show a breakdown of this long-range correlation behavior. We describe a new method—detrended fluctuation analysis (DFA)—for quantifying this correlation property in non-stationary physiological time series. Application of this technique shows evidence for a crossover phenomenon associated with a change in short and long-range scaling exponents. This method may be of use in distinguishing healthy from pathologic data sets based on differences in these scaling properties.Keywords
This publication has 11 references indexed in Scilit:
- Is walking a random walk? Evidence for long-range correlations in stride interval of human gaitJournal of Applied Physiology, 1995
- Correlation approach to identify coding regions in DNA sequencesBiophysical Journal, 1994
- Finite-size effects on long-range correlations: Implications for analyzing DNA sequencesPhysical Review E, 1993
- Long-range anticorrelations and non-Gaussian behavior of the heartbeatPhysical Review Letters, 1993
- Long-range correlations in nucleotide sequencesNature, 1992
- Nonlinear dynamics in sudden cardiac death syndrome: Heartrate oscillations and bifurcationsCellular and Molecular Life Sciences, 1988
- Random Multiplicative Processes and Transport in Structures with Correlated Spatial DisorderPhysical Review Letters, 1988
- Self-organized criticality: An explanation of the 1/fnoisePhysical Review Letters, 1987
- Survival of patients with severe congestive heart failure treated with oral milrinoneJournal of the American College of Cardiology, 1986
- Brief ReviewsCirculation Research, 1971