On the evidence of deterministic chaos in ECG: Surrogate and predictability analysis

被引:106
作者
Govindan, RB [1 ]
Narayanan, K [1 ]
Gopinathan, MS [1 ]
机构
[1] Indian Inst Technol, Dept Chem, Madras 600036, Tamil Nadu, India
关键词
D O I
10.1063/1.166330
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The question whether the human cardiac system is chaotic or not has been an open one. Recent results in chaos theory have shown that the usual methods, such as saturation of correlation dimension D-2 Or the existence of positive Lyapunov exponent, alone do not provide sufficient evidence to confirm the presence of deterministic chaos in an experimental system. The results of surrogate data analysis together with the short-term prediction analysis can be used to check whether a given time series is consistent with the hypothesis of deterministic chaos. In this work nonlinear dynamical tools such as surrogate data analysis, short-term prediction, saturation of D-2 and positive Lyapunov exponent have been applied to measured ECG data for several normal and pathological cases. The pathology presently studied are PVC (Premature Ventricular Contraction), VTA (Ventricular Tachy Arrhythmia), AV (Atrio-Ventricular) block and VF (Ventricular Fibrillation). While these results do not prove that ECG time series is definitely chaotic, they are found to be consistent with the hypothesis of chaotic dynamics. (C) 1998 American Institute of Physics.
引用
收藏
页码:495 / 502
页数:8
相关论文
共 40 条
[1]   SINGULAR-VALUE DECOMPOSITION AND THE GRASSBERGER-PROCACCIA ALGORITHM [J].
ALBANO, AM ;
MUENCH, J ;
SCHWARTZ, C ;
MEES, AI ;
RAPP, PE .
PHYSICAL REVIEW A, 1988, 38 (06) :3017-3026
[2]   IS THE NORMAL HEART A PERIODIC OSCILLATOR [J].
BABLOYANTZ, A ;
DESTEXHE, A .
BIOLOGICAL CYBERNETICS, 1988, 58 (03) :203-211
[3]   NONLINEAR AND LINEAR FORECASTING OF THE EEG TIME-SERIES [J].
BLINOWSKA, KJ ;
MALINOWSKI, M .
BIOLOGICAL CYBERNETICS, 1991, 66 (02) :159-165
[4]   COMPUTING THE LYAPUNOV SPECTRUM OF A DYNAMIC SYSTEM FROM AN OBSERVED TIME-SERIES [J].
BROWN, R ;
BRYANT, P ;
ABARBANEL, HDI .
PHYSICAL REVIEW A, 1991, 43 (06) :2787-2806
[5]   NONLINEAR PREDICTION OF CHAOTIC TIME-SERIES [J].
CASDAGLI, M .
PHYSICA D, 1989, 35 (03) :335-356
[6]  
CASSELEGGIO A, 1995, CHAOS SOLITON FRACT, V5, P713
[7]   A COMPARATIVE-STUDY OF THE EXPERIMENTAL QUANTIFICATION OF DETERMINISTIC CHAOS [J].
DESTEXHE, A ;
SEPULCHRE, JA ;
BABLOYANTZ, A .
PHYSICS LETTERS A, 1988, 132 (2-3) :101-106
[8]   FUNDAMENTAL LIMITATIONS FOR ESTIMATING DIMENSIONS AND LYAPUNOV EXPONENTS IN DYNAMIC-SYSTEMS [J].
ECKMANN, JP ;
RUELLE, D .
PHYSICA D, 1992, 56 (2-3) :185-187
[9]   PREDICTING CHAOTIC TIME-SERIES [J].
FARMER, JD ;
SIDOROWICH, JJ .
PHYSICAL REVIEW LETTERS, 1987, 59 (08) :845-848
[10]  
Fell J, 1996, BIOL CYBERN, V75, P85, DOI 10.1007/BF00238742