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Chaos

Volumn 5, Issue 1, 1995, Pages 82-87

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

(4) Peng, C K a,b Havlin, Shlomo c Stanley, H Eugene b Goldberger, Ary L a

a BETH ISRAEL DEACONESS MEDICAL CENTER (United States)

b BOSTON UNIVERSITY (United States)

c BAR ILAN UNIVERSITY (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CONGESTIVE HEART FAILURE; HEART DISEASE; HEART RATE; HUMAN; MATHEMATICS; NASA DISCIPLINE CARDIOPULMONARY; NASA DISCIPLINE NUMBER 14-10; NASA PROGRAM SPACE PHYSIOLOGY AND COUNTERMEASURES; NON-NASA CENTER; NONLINEAR SYSTEM; PATHOPHYSIOLOGY; PHYSIOLOGY; STATISTICAL MODEL; STATISTICS; SYSTOLE; TIME;

NASA DISCIPLINE CARDIOPULMONARY; NASA DISCIPLINE NUMBER 14-10; NASA PROGRAM SPACE PHYSIOLOGY AND COUNTERMEASURES; NON-NASA CENTER;

HEART DISEASES; HEART FAILURE, CONGESTIVE; HEART RATE; HUMANS; MATHEMATICS; MODELS, STATISTICAL; NONLINEAR DYNAMICS; STOCHASTIC PROCESSES; SYSTOLE; TIME FACTORS;

EID: 0029434863 PISSN: 10541500 EISSN: None Source Type: Journal
DOI: 10.1063/1.166141 Document Type: Article

Times cited : (3163)

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- However, usually data from healthy subjects show even better linearity on log-log plots than data from subjects with heart disease. Our estimate of a is consistent with the previous analysis in Ref. 3. Note, however, that in Ref. 3 the analysis was performed on the interbeat increment data to avoid the problem of non-stationarity. Therefore, the scaling exponent computed in Ref. 3 is smaller than the a exponent computed by DFA by a value of 1 (due to the integration process in DFA)
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- We find that the results are very similar when we measure [formula omitted] from 16 beats to 128 beats. However, when we move the upper fitting range for [formula omitted] from 128 beats to 256 beats or more, the pathologic data sets show larger variation of [formula omitted] leading to less obvious separation from normal subjects. This is partly due to the fact that, for finite length data sets, the calculation error of F(n) increases with [formula omitted] Therefore, scaling exponents obtained over larger values of n will have greater uncertainty
- We also tested these calculations by varying the fitting range for [formula omitted]

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