Journal ArticleDOI
Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series
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TLDR
A new method--detrended fluctuation analysis (DFA)--for quantifying this correlation property in non-stationary physiological time series is described and application of this technique shows evidence for a crossover phenomenon associated with a change in short and long-range scaling exponents.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.read more
Citations
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Peripheral neuropathy does not alter the fractal dynamics of stride intervals of gait
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Why Brain Criticality Is Clinically Relevant: A Scoping Review.
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The nature and perception of fluctuations in human musical rhythms
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TL;DR: It is demonstrated that listeners strongly prefer long-range correlated fluctuations in musical rhythms, and the favorable fluctuation type for humanizing interbeat intervals coincides with the one generically inherent in human musical performances.
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Fractionally integrated process with power-law correlations in variables and magnitudes.
Boris Podobnik,Boris Podobnik,Boris Podobnik,Plamen Ch. Ivanov,Katica Biljaković,Davor Horvatić,H. Eugene Stanley,Ivo Grosse +7 more
TL;DR: A simple stochastic process is proposed that can account for both types of correlations in the variables and power-law correlations in their magnitudes and is applied to time series of heartbeat interval changes and air temperature changes.
References
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Self-organized criticality: An explanation of the 1/ f noise
TL;DR: It is shown that dynamical systems with spatial degrees of freedom naturally evolve into a self-organized critical point, and flicker noise, or 1/f noise, can be identified with the dynamics of the critical state.
Book
Introduction to Phase Transitions and Critical Phenomena
H. Eugene Stanley,Guenter Ahlers +1 more
TL;DR: In this article, the authors present a paperback edition of a distinguished book, originally published by Clarendon Press in 1971, which is at the level at which a graduate student who has studied condensed matter physics can begin to comprehend the nature of phase transitions, which involve the transformation of one state of matter into another.
Journal ArticleDOI
Long-range correlations in nucleotide sequences
Chung-Kang Peng,Sergey V. Buldyrev,Ary L. Goldberger,Shlomo Havlin,Shlomo Havlin,Francesco Sciortino,Michael Simons,Michael Simons,H. E. Stanley +8 more
TL;DR: This work proposes a method for studying the stochastic properties of nucleotide sequences by constructing a 1:1 map of the nucleotide sequence onto a walk, which it refers to as a 'DNA walk', and uncovers a remarkably long-range power law correlation.
Journal ArticleDOI
Long-range anticorrelations and non-Gaussian behavior of the heartbeat
Chung-Kang Peng,Chung-Kang Peng,Chung-Kang Peng,J. Mietus,J. Mietus,J. Mietus,Jeffrey M. Hausdorff,Jeffrey M. Hausdorff,Jeffrey M. Hausdorff,Shlomo Havlin,Shlomo Havlin,Shlomo Havlin,H. E. Stanley,H. E. Stanley,H. E. Stanley,Ary L. Goldberger,Ary L. Goldberger,Ary L. Goldberger +17 more
TL;DR: It is found that the successive increments in the cardiac beat-to-beat intervals of healthy subjects display scale-invariant, long-range anticorrelations (up to 10(4) heart beats), and the different scaling behavior in health and disease must relate to the underlying dynamics of the heartbeat.