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Characterization of statistical persistence in joint angle variation during walking.

Dorothea J Tsang1, Meghan Lukac1, Anne E Martin1

  • 1Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802, USA.

Human Movement Science
|November 10, 2019
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Summary

Human walking shows statistical persistence in stride duration. This study found no significant statistical persistence in lower limb joint angle variations, suggesting it doesn't directly cause stride duration fluctuations.

Keywords:
DFAGaitHurst exponentJoint angleNoise

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Area of Science:

  • Biomechanics
  • Human locomotion analysis
  • Dynamical systems theory

Background:

  • Human walking exhibits statistical persistence in stride duration.
  • Variations in stride duration are linked to leg segment motion.
  • The presence of statistical persistence in joint angle variations during walking remains unclear.

Purpose of the Study:

  • To characterize joint angle variation across strides in healthy adults.
  • To quantify the statistical persistence of joint angle variations using the Hurst exponent.
  • To determine if joint angle variability contributes to the observed statistical persistence in stride duration.

Main Methods:

  • Collected kinematic data from nine healthy adults walking on a treadmill.
  • Parameterized lower limb joint angle variations using first-order Fourier series coefficients (frequency and magnitude).
  • Calculated the Hurst exponent for each coefficient at each joint to assess statistical persistence.

Main Results:

  • Mean Hurst exponents were 0.54 for frequency coefficients and 0.61 for magnitude coefficients.
  • No statistically significant persistence was found for either frequency or magnitude coefficients.
  • Some magnitude coefficients approached statistical significance, but did not reach it.

Conclusions:

  • Lower limb joint angle variability in healthy adults does not appear to directly produce the statistical persistence observed in stride duration fluctuations.
  • The mechanisms underlying stride duration persistence may lie elsewhere than joint angle variability.
  • Further research is needed to fully understand the interplay between joint kinematics and gait variability.