Multifractal properties of ECG patterns of patients suffering from congestive heart failure

The multifractal properties of two-channel ECG patterns of patients suffering from severe congestive heart failure (New York Heart Association (NYHA) classes III–IV) are studied and are compared with those for normal healthy people using the multifractal detrended fluctuation analysis methodology. Ivanov et al (1999 Nature 399 461) have studied the multifractality of human heart rate dynamics using the wavelet transformation modulus maxima (WTMM) methodology. But it has been observed by several scientists that multifractal detrended fluctuation analysis (MFDFA) works better than the WTMM method in the detection of monofractal and multifractal characteristics of the data. Galaska et al (2008 Ann. Noninvasive Electrocardiol. 13 155) have observed that MFDFA is more sensitive compared to the WTMM method in the differentiation between multifractal properties of the heart rate in healthy subjects and patients with left ventricular systolic dysfunction. In the present work the variation of two parameters of the multifractal spectrum—its width W (related to the degree of multifractality) and the value of the Hölder exponent α0—for the healthy and congestive heart failure patients is studied. α0 is a measure of the degree of correlation. The degree of multifractality varies appreciably (85–90% C.L.) for the normal and the CHF sets for channel I. For channel II no significant change in the values is observed. The degree of correlation is found to be comparatively high for the normal healthy people compared to those suffering from CHF.

[1]  Ying Yuan,et al.  Measuring multifractality of stock price fluctuation using multifractal detrended fluctuation analysis , 2009 .

[2]  Pengjian Shang,et al.  Detecting long-range correlations of traffic time series with multifractal detrended fluctuation analysis , 2008 .

[3]  Joanna Wdowczyk-Szulc,et al.  Comparison of Wavelet Transform Modulus Maxima and Multifractal Detrended Fluctuation Analysis of Heart Rate in Patients with Systolic Dysfunction of Left Ventricle , 2008, Annals of noninvasive electrocardiology : the official journal of the International Society for Holter and Noninvasive Electrocardiology, Inc.

[4]  Ahmed N Abdalla,et al.  Detrended fluctuation analysis as a statistical method to study ion single channel signal , 2008, Cell biology international.

[5]  Wei‐Xing Zhou,et al.  Multifractal detrended fluctuation analysis of combustion flames in four-burner impinging entrained-flow gasifier , 2007, 0710.5214.

[6]  Joanna Wdowczyk-Szulc,et al.  Multifractal properties of heart rate by multifractal detrended fluctuation analysis and wavelet transform modulus maxima analysis—are both approaches equivalent? , 2007 .

[7]  A. Carbone,et al.  Detrending moving average algorithm: A closed-form approximation of the scaling law , 2006, physics/0608313.

[8]  Vincenzo Lapenna,et al.  Measuring multifractality in seismic sequences , 2006 .

[9]  Wei-Xing Zhou,et al.  Detrended fluctuation analysis for fractals and multifractals in higher dimensions. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[10]  Danuta Makowiec,et al.  Long-range dependencies in heart rate signals—revisited , 2005, q-bio/0510044.

[11]  M. Movahed,et al.  Multifractal detrended fluctuation analysis of sunspot time series , 2005, physics/0508149.

[12]  J. Kwapień,et al.  Wavelet versus detrended fluctuation analysis of multifractal structures. , 2006, Physical review. E, Statistical, nonlinear, and soft matter physics.

[13]  Campion E. Quinn 100 questions & answers about congestive heart failure , 2006 .

[14]  Maria Macchiato,et al.  Multifractal fluctuations in earthquake-related geoelectrical signals , 2005 .

[15]  A. Goldberger,et al.  Nonlinear dynamics in sudden cardiac death syndrome: Heartrate oscillations and bifurcations , 1988, Experientia.

[16]  H. Stanley,et al.  Time-dependent Hurst exponent in financial time series , 2004 .

[17]  Maria Macchiato,et al.  Fluctuation dynamics in geoelectrical data: an investigation by using multifractal detrended fluctuation analysis , 2004 .

[18]  H E Stanley,et al.  Analysis of clusters formed by the moving average of a long-range correlated time series. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[19]  Maria Macchiato,et al.  Mono- and multi-fractal investigation of scaling properties in temporal patterns of seismic sequences , 2004 .

[20]  S. Havlin,et al.  Multifractality of river runoff and precipitation: Comparison of fluctuation analysis and wavelet methods , 2003, physics/0305079.

[21]  H. Stanley,et al.  Magnitude and sign scaling in power-law correlated time series , 2003 .

[22]  A L Goldberger,et al.  The pNNx files: re-examining a widely used heart rate variability measure , 2002, Heart.

[23]  Shaun Lovejoy,et al.  THE MULTIFRACTAL SCALING OF CLOUD RADIANCES FROM 1M TO 1KM , 2002 .

[24]  Stefan Thurner,et al.  MULTIFRACTAL SPECTRA AS A MEASURE OF COMPLEXITY IN HUMAN POSTURE , 2002 .

[25]  H. Stanley,et al.  Multifractal Detrended Fluctuation Analysis of Nonstationary Time Series , 2002, physics/0202070.

[26]  Shlomo Havlin,et al.  Nonlinearity and multifractality of climate change in the past 420,000 years , 2002, cond-mat/0202100.

[27]  Harvard Medical School,et al.  Effect of nonstationarities on detrended fluctuation analysis. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[28]  H. Stanley,et al.  Effect of trends on detrended fluctuation analysis. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[29]  S. Havlin,et al.  Detecting long-range correlations with detrended fluctuation analysis , 2001, cond-mat/0102214.

[30]  E. Bacry,et al.  Multifractal random walk. , 2000, Physical review. E, Statistical, nonlinear, and soft matter physics.

[31]  H. Stanley,et al.  Magnitude and sign correlations in heartbeat fluctuations. , 2000, Physical review letters.

[32]  S. Havlin,et al.  Correlated and uncorrelated regions in heart-rate fluctuations during sleep. , 2000, Physical review letters.

[33]  Talkner,et al.  Power spectrum and detrended fluctuation analysis: application to daily temperatures , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[34]  Ivanov PCh,et al.  Sleep-wake differences in scaling behavior of the human heartbeat: analysis of terrestrial and long-term space flight data. , 1999, Europhysics letters.

[35]  H E Stanley,et al.  Statistical physics and physiology: monofractal and multifractal approaches. , 1999, Physica A.

[36]  Djordje Stratimirović,et al.  Detrended fluctuation analysis of time series of a firing fusimotor neuron , 1999 .

[37]  P. Cizeau,et al.  Statistical properties of the volatility of price fluctuations. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[38]  L. Amaral,et al.  Multifractality in human heartbeat dynamics , 1998, Nature.

[39]  H. Stanley,et al.  Analysis of DNA sequences using methods of statistical physics , 1998 .

[40]  Chi-Sang Poon,et al.  Decrease of cardiac chaos in congestive heart failure , 1997, Nature.

[41]  R. Mantegna,et al.  Long-range correlation properties of coding and noncoding DNA sequences: GenBank analysis. , 1995, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[42]  E. Bacry,et al.  Characterizing long-range correlations in DNA sequences from wavelet analysis. , 1995, Physical review letters.

[43]  H. Stanley,et al.  Quantification of scaling exponents and crossover phenomena in nonstationary heartbeat time series. , 1995, Chaos.

[44]  A L Goldberger,et al.  Correlation approach to identify coding regions in DNA sequences. , 1994, Biophysical journal.

[45]  Anthony B. Davis,et al.  Multifractal characterizations of nonstationarity and intermittency in geophysical fields: Observed, retrieved, or simulated , 1994 .

[46]  E. Bacry,et al.  The Multifractal Formalism Revisited with Wavelets , 1994 .

[47]  C. Peng,et al.  Mosaic organization of DNA nucleotides. , 1994, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[48]  Jeffrey M. Hausdorff,et al.  Long-range anticorrelations and non-Gaussian behavior of the heartbeat. , 1993, Physical review letters.

[49]  E. Bacry,et al.  Wavelets and multifractal formalism for singular signals: Application to turbulence data. , 1991, Physical review letters.

[50]  Vicsek,et al.  Multifractality of self-affine fractals. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[51]  E. Braunwald,et al.  Survival of patients with severe congestive heart failure treated with oral milrinone. , 1986, Journal of the American College of Cardiology.