Correlation dimension analysis of heart rate variability in patients with dilated cardiomyopathy

A correlation dimension analysis of heart rate variability (HRV) was applied to a group of 55 patients with dilated cardiomyopathy (DCM) and 55 healthy subjects as controls. The 24-h RR time series for each subject was divided into segments of 10,000 beats to determine the correlation dimension (CD) per segment. A study of the influence of the time delay (lag) in the calculation of CD was performed. Good discrimination between both groups (p<0.005) was obtained with lag values of 5 or greater. CD values of DCM patients (8.4+/-1.9) were significantly lower than CD values for controls (9.5+/-1.9). An analysis of CD values of HRV showed that for healthy people, CD night values (10.6+/-1.8) were significant greater than CD day values (9.2+/-1.9), revealing a circadian rhythm. In DCM patients, this circadian rhythm was lost and there were no differences between CD values in day (8.8+/-2.4) and night (8.9+/-2.1).

[1]  Robert Gilmore,et al.  COMPLEXITY AND CHAOS II , 1993 .

[2]  P Van Leeuwen,et al.  Circadian aspects of apparent correlation dimension in human heart rate dynamics. , 1995, The American journal of physiology.

[3]  Theiler,et al.  Spurious dimension from correlation algorithms applied to limited time-series data. , 1986, Physical review. A, General physics.

[4]  P Cugini,et al.  The chaotic component of human heart rate variability shows a circadian periodicity as documented by the correlation dimension of the time-qualified sinusal R-R intervals. , 1998, La Clinica terapeutica.

[5]  Zebrowski,et al.  Entropy, pattern entropy, and related methods for the analysis of data on the time intervals between heartbeats from 24-h electrocardiograms. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  Sergio Cerutti,et al.  Complex dynamics assessment in 24-hour heart rate variability signals in normal and pathological subjects , 1993, Proceedings of Computers in Cardiology Conference.

[7]  Henry D. I. Abarbanel,et al.  Analysis of Observed Chaotic Data , 1995 .

[8]  Niels Wessel,et al.  Heart rate variability before the onset of ventricular tachycardia: differences between slow and fast arrhythmias. , 2002, International journal of cardiology.

[9]  Sergio Cerutti,et al.  Entropy, entropy rate, and pattern classification as tools to typify complexity in short heart period variability series , 2001, IEEE Transactions on Biomedical Engineering.

[10]  Neal B. Abraham,et al.  Complexity and Chaos , 1989 .

[11]  E Nahshoni,et al.  Fractal organization of the pointwise correlation dimension of the heart rate. , 1998, Medical hypotheses.

[12]  J E Skinner,et al.  A reduction in the correlation dimension of heartbeat intervals precedes imminent ventricular fibrillation in human subjects. , 1993, American heart journal.

[13]  A. Winfree,et al.  Sudden cardia death: a problem in topology. , 1983, Scientific American.

[14]  Bruce J. West,et al.  Nonlinear dynamics of the heartbeat: I. The AV junction: Passive conduit or active oscillator? , 1985 .

[15]  F Lombardi,et al.  Sudden cardiac death: role of heart rate variability to identify patients at risk. , 2001, Cardiovascular research.

[16]  Mingzhou Ding,et al.  Estimating correlation dimension from a chaotic time series: when does plateau onset occur? , 1993 .

[17]  D. Hoyer,et al.  Nonlinear analysis of heart rate and respiratory dynamics , 1997, IEEE Engineering in Medicine and Biology Magazine.

[18]  Franz Halberg,et al.  Circadian rhythmic fractal scaling of heart rate variability in health and coronary artery disease , 1997, Clinical cardiology.

[19]  K M Kessler,et al.  Circadian rhythm of heart rate variability in survivors of cardiac arrest. , 1992, The American journal of cardiology.

[20]  N. Wessel,et al.  Short-term forecasting of life-threatening cardiac arrhythmias based on symbolic dynamics and finite-time growth rates. , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[21]  Niels Wessel,et al.  Nonlinear dynamics versus traditional methods of heart rate variability analysis , 1994, Computers in Cardiology 1994.

[22]  Alberto Porta,et al.  Heart rate variability patterns before ventricular tachycardia onset in patients with an implantable cardioverter defibrillator , 2000 .

[23]  J. Kurths,et al.  Quantitative analysis of heart rate variability. , 1995, Chaos.

[24]  B. Sayers,et al.  Analysis of heart rate variability. , 1973, Ergonomics.

[25]  T. Sauer,et al.  Correlation dimension of attractors through interspike intervals , 1997 .

[26]  M. Osaka,et al.  Correlation dimension of heart rate variability: a new index of human autonomic function. , 1993, Frontiers of medical and biological engineering : the international journal of the Japan Society of Medical Electronics and Biological Engineering.

[27]  B Maisch,et al.  Report of the 1995 World Health Organization/International Society and Federation of Cardiology Task Force on the Definition and Classification of cardiomyopathies. , 1996, Circulation.

[28]  L. Glass,et al.  Theory of heart : biomechanics, biophysics, and nonlinear dynamics of cardiac function , 1991 .

[29]  N. Wessel,et al.  Evaluation of renormalised entropy for risk stratification using heart rate variability data , 2000, Medical and Biological Engineering and Computing.

[30]  A Voss,et al.  Baroreflex sensitivity, heart rate, and blood pressure variability in normal pregnancy. , 2000, American journal of hypertension.

[31]  G. Breithardt,et al.  Heart rate variability: standards of measurement, physiological interpretation and clinical use. Task Force of the European Society of Cardiology and the North American Society of Pacing and Electrophysiology. , 1996 .

[32]  J F Thayer,et al.  Estimation of the correlation dimension of heart rate using surrogate data techniques. , 1997, Biomedical sciences instrumentation.

[33]  L Glass,et al.  Time series analysis of complex dynamics in physiology and medicine. , 1993, Medical progress through technology.

[34]  A. Malliani,et al.  Heart rate variability. Standards of measurement, physiological interpretation, and clinical use , 1996 .

[35]  M Vallverdú,et al.  Dimensional analysis of HRV in hypertrophic cardiomyopathy patients. , 2002, IEEE engineering in medicine and biology magazine : the quarterly magazine of the Engineering in Medicine & Biology Society.

[36]  C. Kawai,et al.  Report of the WHO/ISFC task force on the definition and classification of cardiomyopathies. , 1980, British heart journal.

[37]  John Tyler Bonner,et al.  Chemical Signals of Social Amoebae , 1983 .

[38]  A Malliani,et al.  Circadian variation of spectral indices of heart rate variability after myocardial infarction. , 1992, American heart journal.

[39]  大坂 元久,et al.  Correlation dimension of heart rate variability : a new index of human autonomic function , 1994 .

[40]  Jørgen K. Kanters,et al.  Influence of forced respiration on nonlinear dynamics in heart rate variability. , 1997, The American journal of physiology.

[41]  Schwartz,et al.  Singular-value decomposition and the Grassberger-Procaccia algorithm. , 1988, Physical review. A, General physics.

[42]  K M Kessler,et al.  Alterations in heart rate variability and its circadian rhythm in hypertensive patients with left ventricular hypertrophy free of coronary artery disease. , 1993, American heart journal.

[43]  David S. Broomhead,et al.  Phase portraits from a time series: A singular system approach , 1987 .

[44]  A Voss,et al.  Improved analysis of heart rate variability by methods of nonlinear dynamics. , 1995, Journal of electrocardiology.

[45]  A. Babloyantz,et al.  Is the normal heart a periodic oscillator? , 1988, Biological Cybernetics.

[46]  S Cerutti,et al.  Short and long term non-linear analysis of RR variability series. , 2002, Medical engineering & physics.

[47]  H. Abarbanel,et al.  Prediction in chaotic nonlinear systems: Methods for time series with broadband Fourier spectra. , 1990, Physical review. A, Atomic, molecular, and optical physics.

[48]  K M Kessler,et al.  Reproducibility and circadian rhythm of heart rate variability in healthy subjects. , 1990, The American journal of cardiology.

[49]  L. Chua,et al.  Chaos: A tutorial for engineers , 1987, Proceedings of the IEEE.

[50]  Peter Hunter,et al.  Theory of heart , 1991 .

[51]  Jorge J. Moré,et al.  The Levenberg-Marquardt algo-rithm: Implementation and theory , 1977 .

[52]  P. Grassberger,et al.  Measuring the Strangeness of Strange Attractors , 1983 .