Multifractal detrended fluctuation analysis of human gait diseases

In this paper multifractal detrended fluctuation analysis (MFDFA) is used to study the human gait time series for normal and diseased sets. It is observed that long range correlation is primarily responsible for the origin of multifractality. The study reveals that the degree of multifractality is more for normal set compared to diseased set. However, the method fails to distinguish between the two diseased sets.

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

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

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

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

[5]  Evalds Hermanis,et al.  Fractal analysis of river flow fluctuations , 2006 .

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

[7]  Bruce J. West,et al.  Hölder exponent spectra for human gait , 2002, cond-mat/0208028.

[8]  Jeffrey M. Hausdorff,et al.  When human walking becomes random walking: fractal analysis and modeling of gait rhythm fluctuations. , 2001, Physica A.

[9]  Shlomo Havlin,et al.  Multifractality of river runoff and precipitation: Comparison of fluctuation analysis and wavelet methods , 2003 .

[10]  Bruce J. West,et al.  Nonlinear dynamical model of human gait. , 2002, Physical review. E, Statistical, nonlinear, and soft matter physics.

[11]  Michael J. Richardson,et al.  On the Structure of Measurement Noise in Eye-Tracking , 2012 .

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

[13]  Wenyan Liu,et al.  Fractal analysis in normal EEG and epileptic EEG of rats , 2007 .

[14]  Peter Herman,et al.  Pitfalls in Fractal Time Series Analysis: fMRI BOLD as an Exemplary Case , 2012, Front. Physio..

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

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

[17]  Jeffrey M. Hausdorff,et al.  Dynamic markers of altered gait rhythm in amyotrophic lateral sclerosis. , 2000, Journal of applied physiology.

[18]  Jeffrey M. Hausdorff,et al.  Is walking a random walk? Evidence for long-range correlations in stride interval of human gait. , 1995, Journal of applied physiology.

[19]  J. Álvarez-Ramírez,et al.  Detrending fluctuation analysis based on moving average filtering , 2005 .

[20]  Bruce J. West,et al.  Fractal response of physiological signals to stress conditions, environmental changes, and neurodegenerative diseases , 2007, Complex..

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

[22]  G. Orden,et al.  LIVING IN THE PINK: INTENTIONALITY, WELLBEING, AND COMPLEXITY , 2011 .

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

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

[25]  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.

[26]  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.

[27]  Bruce J. West,et al.  Understanding the complexity of human gait dynamics. , 2009, Chaos.

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

[29]  M. Bonnard,et al.  Steady-state fluctuations of human walking , 1992, Behavioural Brain Research.

[30]  Srimonti Dutta.  Multifractal properties of ECG patterns of patients suffering from congestive heart failure , 2010 .

[31]  Jeffrey M. Hausdorff,et al.  Altered fractal dynamics of gait: reduced stride-interval correlations with aging and Huntington's disease. , 1997, Journal of applied physiology.

[32]  Jeffrey M. Hausdorff,et al.  Fractal dynamics in physiology: Alterations with disease and aging , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[33]  Srimonti Dutta.  EEG PATTERN OF NORMAL AND EPILEPTIC RATS: MONOFRACTAL OR MULTIFRACTAL? , 2010 .

[34]  S. Havlin,et al.  Comparison of detrending methods for fluctuation analysis , 2008, 0804.4081.

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

[36]  C. Peng,et al.  What is physiologic complexity and how does it change with aging and disease? , 2002, Neurobiology of Aging.

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

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

[39]  Benoit B. Mandelbrot,et al.  Fractal Geometry of Nature , 1984 .

[40]  M. Yamasaki,et al.  Stereotyped pattern of lower limb movement during level and grade walking on treadmill. , 1984, The Annals of physiological anthropology = Seiri Jinruigaku Kenkyukai kaishi.

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

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

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

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

[45]  L. Liebovitch,et al.  "Fractal dynamics of human gait: stability of long-range correlations in stride interval fluctuations". , 1996, Journal of applied physiology.

[46]  D. Delignières,et al.  Theoretical and methodological issues in serial correlation analysis. , 2013, Advances in experimental medicine and biology.

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