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When human walking becomes random walking: fractal analysis and modeling of gait rhythm fluctuations

Author

Listed:
  • Hausdorff, Jeffrey M.
  • Ashkenazy, Yosef
  • Peng, Chang-K.
  • Ivanov, Plamen Ch.
  • Stanley, H.Eugene
  • Goldberger, Ary L.

Abstract

We present a random walk, fractal analysis of the stride-to-stride fluctuations in the human gait rhythm. The gait of healthy young adults is scale-free with long-range correlations extending over hundreds of strides. This fractal scaling changes characteristically with maturation in children and older adults and becomes almost completely uncorrelated with certain neurologic diseases. Stochastic modeling of the gait rhythm dynamics, based on transitions between different “neural centers”, reproduces distinctive statistical properties of the gait pattern. By tuning one model parameter, the hopping (transition) range, the model can describe alterations in gait dynamics from childhood to adulthood — including a decrease in the correlation and volatility exponents with maturation.

Suggested Citation

  • Hausdorff, Jeffrey M. & Ashkenazy, Yosef & Peng, Chang-K. & Ivanov, Plamen Ch. & Stanley, H.Eugene & Goldberger, Ary L., 2001. "When human walking becomes random walking: fractal analysis and modeling of gait rhythm fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 302(1), pages 138-147.
    • Handle: RePEc:eee:phsmap:v:302:y:2001:i:1:p:138-147
    DOI: 10.1016/S0378-4371(01)00460-5
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    Cited by:

    1. Marietta Kirchner & Patric Schubert & Magnus Liebherr & Christian T Haas, 2014. "Detrended Fluctuation Analysis and Adaptive Fractal Analysis of Stride Time Data in Parkinson's Disease: Stitching Together Short Gait Trials," PLOS ONE, Public Library of Science, vol. 9(1), pages 1-6, January.
    2. Chatterjee, Sucharita, 2020. "Analysis of the human gait rhythm in Neurodegenerative disease: A multifractal approach using Multifractal detrended cross correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    3. Kembro, Jackelyn M. & Flesia, Ana Georgina & Gleiser, Raquel M. & Perillo, María A. & Marin, Raul H., 2013. "Assessment of long-range correlation in animal behavior time series: The temporal pattern of locomotor activity of Japanese quail (Coturnix coturnix) and mosquito larva (Culex quinquefasciatus)," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(24), pages 6400-6413.
    4. Echeverria, Juan C. & Rodriguez, Eduardo & Velasco, Alejandra & Alvarez-Ramirez, Jose, 2010. "Limb dominance changes in walking evolution explored by asymmetric correlations in gait dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(8), pages 1625-1634.

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