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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Determinants and interindividual variation of R-R interval dynamics in healthy middle-aged subjects.
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From the time series to the complex networks: The parametric natural visibility graph
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Postural stability predicts the likelihood of cybersickness in active HMD-based virtual reality
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Measurement of excitation-inhibition ratio in autism spectrum disorder using critical brain dynamics.
H. A. Bruining,H. A. Bruining,Richard Hardstone,Richard Hardstone,Erika Juarez-Martinez,Erika Juarez-Martinez,Jan J. Sprengers,Arthur Ervin Avramiea,Sonja Simpraga,Simon J. Houtman,Simon-Shlomo Poil,Eva Dallares,Satu Palva,Bob Oranje,J. Matias Palva,J. Matias Palva,Huibert D. Mansvelder,Klaus Linkenkaer-Hansen +17 more
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References
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H. Eugene Stanley,Guenter Ahlers +1 more
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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.