Magnitude and sign correlations in heartbeat fluctuations

Physical Review Letters

Volumn 86, Issue 9, 2001, Pages 1900-1903

  Ashkenazy, Yosef ^a   Ivanov, Plamen Ch ^a,b   Havlin, Shlomo ^c   Peng, Chung K ^b   Goldberger, Ary L ^b   Stanley, H Eugene ^a  

^a Boston University   (United States)

^b HARVARD MEDICAL SCHOOL   (United States)

^c BAR ILAN UNIVERSITY   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

CALCULATIONS; CARDIOLOGY; CORRELATION METHODS; DISEASES; FOURIER TRANSFORMS; MEDICAL APPLICATIONS; NEUROLOGY;

CARDIAC INTERBEAT INTERVAL; HEARTBEAT FLUCTUATION; NEUROAUTONOMIC NERVOUS SYSTEM;

BIOMECHANICS;

ALGORITHM; FOURIER ANALYSIS; HEART RATE; HUMAN; PHYSIOLOGY; STATISTICAL ANALYSIS;

ALGORITHMS; DATA INTERPRETATION, STATISTICAL; FOURIER ANALYSIS; HEART RATE; HUMANS;

EID: 14344267760     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.86.1900     Document Type: Article

References (20)

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5. α, where n is the window scale and the scaling exponent a is smaller than 0.5. In contrast, for uncorrelated behavior α = 0.5, while for correlated behavior α > 0.5. In the present study we integrate the series before applying the scaling analysis and thus α = 1.5 indicates uncorrelated behavior while α > 1.5 (α < 1.5) indicates correlated (anticorrelated) behavior.
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10. The first order detrended fluctuation analysis (DFA) eliminates constant trends from the original series (or, equivalently, linear trends from the integrated series) [6]; the second order DFA removes linear trends, and the nth order DFA eliminates polynomial trends of order n - 1.
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12. i; (ii) we decompose the increment series into a magnitude series (|ΔRR|) and a sign series [sgn(ΔRR)]; (iii) to avoid artificial trends we subtract from the magnitude and sign series their average; (iv) because of limitations in the accuracy of the detrended fluctuation analysis method for estimating the scaling exponents of anticorrelated signals (α < 0.5), we integrate the magnitude and sign series; (v) we perform a scaling analysis using second order detrended fluctuation analysis on the integrated magnitude and sign series; (vi) to obtain the scaling exponents for the magnitude and sign series we measure the slope of F(n)/n on a log-log plot, where F(n) is the root mean square fluctuation function and n is the scale of analysis (in beat numbers).
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14. Heartbeat increment series were investigated by A. Babloyantz and P. Maurer, Phys. Lett. A 221, 43 (1996) and P. Maurer, H.-D. Wang, and A. Babloyantz, Phys. Rev. E 56, 1188 (1997). These studies differ from ours because we investigate, quantitatively, normal heartbeats by evaluating the scaling properties of the magnitude and sign series. In addition, our calculations are based on window scales larger than 6 and up to 1000 heartbeats.
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