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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.

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Citations
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Impact of sedation and organ failure on continuous heart and respiratory rate variability monitoring in critically ill patients: a pilot study.

TL;DR: The results suggest that both heart rate variability and respiratory rate variability increased during sedation interruption, and the further reduction in respiratory variability during the elimination of sedation in patients with high multiple organ dysfunction syndrome suggests a differential response and benefit from sedation interrupted, and merits further investigation.
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Heart and soul: heart rate variability and major depression.

TL;DR: The direct relationship between HRV alterations and psychiatric symptoms, rather than its relationship with CVD, is focused on, as this has been reviewed elsewhere.
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Fractal gait patterns are retained after entrainment to a fractal stimulus.

TL;DR: Fractal gait patterns were strengthened during the synchronization phase and were retained in the post-synchronization phase and it was shown that a discrete visual stimulus is a better method to influence retention.
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Long-range correlation in cosmic microwave background radiation.

TL;DR: It is concluded that the multifractality nature of the temperature fluctuation of CMB radiation is mainly due to the long-range correlations, and the map is consistent with a gaussian distribution.
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.
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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.
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Long-range correlations in nucleotide sequences

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

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.
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