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A stochastic model of human gait dynamics

Author

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  • Ashkenazy, Yosef
  • M. Hausdorff, Jeffrey
  • Ch. Ivanov, Plamen
  • Eugene Stanley, H

Abstract

We present a stochastic model of gait rhythm dynamics, based on transitions between different “neural centers”, that reproduces distinctive statistical properties of normal human walking. By tuning one model parameter, the transition (hopping) range, the model can describe alterations in gait dynamics from childhood to adulthood—including a decrease in the correlation and volatility exponents with maturation. The model also generates time series with multifractal spectra whose broadness depends only on this parameter. Moreover, we find that the volatility exponent increases monotonically as a function of the width of the multifractal spectrum, suggesting the possibility of a change in multifractality with maturation.

Suggested Citation

  • Ashkenazy, Yosef & M. Hausdorff, Jeffrey & Ch. Ivanov, Plamen & Eugene Stanley, H, 2002. "A stochastic model of human gait dynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 662-670.
  • Handle: RePEc:eee:phsmap:v:316:y:2002:i:1:p:662-670
    DOI: 10.1016/S0378-4371(02)01453-X
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    Cited by:

    1. Sarlis, Nicholas V. & Skordas, Efthimios S. & Varotsos, Panayiotis A. & Ramírez-Rojas, Alejandro & Flores-Márquez, E. Leticia, 2019. "Investigation of the temporal correlations between earthquake magnitudes before the Mexico M8.2 earthquake on 7 September 2017," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 475-483.
    2. Seuront, Laurent & Seuront-Scheffbuch, Dorine, 2018. "Size rules life, but does it in the assessment of medical vigilance best practice? Towards a testable hypothesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 505(C), pages 707-715.
    3. Junhong Zhou & Brad Manor & Dongdong Liu & Kun Hu & Jue Zhang & Jing Fang, 2013. "The Complexity of Standing Postural Control in Older Adults: A Modified Detrended Fluctuation Analysis Based upon the Empirical Mode Decomposition Algorithm," PLOS ONE, Public Library of Science, vol. 8(5), pages 1-7, May.
    4. Mahmoodi, Korosh & West, Bruce J. & Grigolini, Paolo, 2020. "On the dynamical foundation of multifractality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 551(C).
    5. Pont, Oriol & Turiel, Antonio & Pérez-Vicente, Conrad J., 2009. "Empirical evidences of a common multifractal signature in economic, biological and physical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(10), pages 2025-2035.
    6. Efthimios S. Skordas & Stavros-Richard G. Christopoulos & Nicholas V. Sarlis, 2020. "Detrended fluctuation analysis of seismicity and order parameter fluctuations before the M7.1 Ridgecrest earthquake," Natural Hazards: Journal of the International Society for the Prevention and Mitigation of Natural Hazards, Springer;International Society for the Prevention and Mitigation of Natural Hazards, vol. 100(2), pages 697-711, January.
    7. Damian G Kelty-Stephen, 2018. "Multifractal evidence of nonlinear interactions stabilizing posture for phasmids in windy conditions: A reanalysis of insect postural-sway data," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-21, August.
    8. Gates, Deanna H. & Su, Jimmy L. & Dingwell, Jonathan B., 2007. "Possible biomechanical origins of the long-range correlations in stride intervals of walking," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 380(C), pages 259-270.
    9. Vygintas Gontis & Aleksejus Kononovicius, 2013. "Fluctuation analysis of the three agent groups herding model," Papers 1305.5958, arXiv.org.
    10. da Silva, M.A.A. & Viswanathan, G.M. & Cressoni, J.C., 2015. "A two-dimensional non-Markovian random walk leading to anomalous diffusion," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 421(C), pages 522-532.

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