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Chaos / Volume 5 / Issue 1

Chaos 5, 82 (1995); http://dx.doi.org/10.1063/1.166141 (6 pages)

Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series

C.‐K. Peng1, Shlomo Havlin2, H. Eugene Stanley3, and Ary L. Goldberger1

1Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, Massachusetts 02215
2Department of Physics, Bar Ilan University, Ramat Gan, Israel
3Center for Polymer Studies and Department of Physics, Boston, Massachusetts 02215

(Received 28 June 1994; accepted 7 December 1994)

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. © 1995 American Institute of Physics.

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KEYWORDS and PACS

Keywords

HEART, MUSCLES, TIME−SERIES ANALYSIS, HOMEOSTASIS, CORRELATIONS, SCALING LAWS, CORRELATIONS, SCALING LAWS, FLUCTUATIONS, HEART FAILURE, MEDICINE, ALGORITHMS, CHAOTIC SYSTEMS, DYNAMICAL SYSTEMS, STIMULI, PULSE PROPAGATION

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.166141

PUBLICATION DATA

ISSN

1054-1500 (print)  
1089-7682 (online)

For access to fully linked references, you need to log in.
    C.-K. Peng, J. Mietus, J. M. Hausdorff, S. Havlin, H. E. Stanley, and A. L. Goldberger, Phys. Rev. Lett. 70, 1343–1346 (1993).

    P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381–384 (1987).

    S. Havlin, R. B. Selinger, M. Schwartz, H. E. Stanley, and A. Bunde, Phys. Rev. Lett. 61, 1438–1441 (1988).

    C.-K. Peng, S. V. Buldyrev, A. L. Goldberger, S. Havlin, M. Simons, and H. E. Stanley, Phys. Rev. E 47, 3730–3733 (1993).


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