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.
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March 1995
Research Article|
March 01 1995
Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
C.‐K. Peng;
C.‐K. Peng
Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, Massachusetts 02215
Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
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Shlomo Havlin;
Shlomo Havlin
Department of Physics, Bar Ilan University, Ramat Gan, Israel
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H. Eugene Stanley;
H. Eugene Stanley
Center for Polymer Studies and Department of Physics, Boston, Massachusetts 02215
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Ary L. Goldberger
Ary L. Goldberger
Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, Massachusetts 02215
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C.‐K. Peng
,
Shlomo Havlin
H. Eugene Stanley
Ary L. Goldberger
Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, Massachusetts 02215
Chaos 5, 82–87 (1995)
Article history
Received:
June 28 1994
Accepted:
December 07 1994
Citation
C.‐K. Peng, Shlomo Havlin, H. Eugene Stanley, Ary L. Goldberger; Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. Chaos 1 March 1995; 5 (1): 82–87. https://doi.org/10.1063/1.166141
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