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

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  • C.-K. Peng
    Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, Massachusetts 02215
  • Shlomo Havlin
    Department of Physics, Bar Ilan University, Ramat Gan, Israel
  • H. Eugene Stanley
    Center for Polymer Studies and Department of Physics, Boston, Massachusetts 02215
  • Ary L. Goldberger
    Cardiovascular Division, Harvard Medical School, Beth Israel Hospital, Boston, Massachusetts 02215

説明

<jats:p>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.</jats:p>

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