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Research Article
To walk or to run – a question of movement attractor stability
Peter C. Raffalt, Jenny A. Kent, Shane R. Wurdeman, Nick Stergiou
Journal of Experimental Biology 2020 223: jeb224113 doi: 10.1242/jeb.224113 Published 1 July 2020
Peter C. Raffalt
1Department of Physical Performance, Norwegian School of Sport Sciences, Sognsveien 220, 0806 Oslo, Norway
2Department of Biomechanics and Center for Research in Human Movement Variability, University of Nebraska at Omaha, 6160 University Drive, Omaha, NE 68182-0860, USA
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Jenny A. Kent
2Department of Biomechanics and Center for Research in Human Movement Variability, University of Nebraska at Omaha, 6160 University Drive, Omaha, NE 68182-0860, USA
3Department of Physical Medicine and Rehabilitation, Northwestern University, 680 N Lake Shore Dr, Chicago, IL 60601, USA
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Shane R. Wurdeman
2Department of Biomechanics and Center for Research in Human Movement Variability, University of Nebraska at Omaha, 6160 University Drive, Omaha, NE 68182-0860, USA
4Department of Clinical and Scientific Affairs, Hanger Clinic, 11155 S. Main St., Houston, TX 77025, USA
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Nick Stergiou
2Department of Biomechanics and Center for Research in Human Movement Variability, University of Nebraska at Omaha, 6160 University Drive, Omaha, NE 68182-0860, USA
5College of Public Health, University of Nebraska Medical Center, Omaha, NE 68198-4355, USA
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  • For correspondence: nstergiou@unomaha.edu
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ABSTRACT

During locomotion, humans change gait mode between walking and running as locomotion speed is either increased or decreased. Dynamical systems theory predicts that the self-organization of coordinated motor behaviors dictates the transition from one distinct stable attractor behavior to another distinct attractor behavior (e.g. walk to run or vice versa) as the speed is changed. To evaluate this prediction, the present study investigated the attractor stability of walking and running across a range of speeds evoking both self-selected gait mode and non-self-selected gait mode. Eleven subjects completed treadmill walking for 3 min at 0.89, 1.12, 1.34, 1.56, 1.79, 2.01, 2.24 and 2.46 m s−1 and running for 3 min at 1.79, 2.01, 2.24, 2.46, 2.68, 2.91, 3.13 and 3.35 m s−1 in randomized order while lower limb joint angles and sacrum displacements was recorded. Attractor stability was quantified by continuous relative phase and deviation phase of lower limb segment angles, and the largest Lyapunov exponent, correlation dimension and movement variability of the sacrum marker displacement and the hip, knee and ankle joint angles. Lower limb attractor stability during walking was maximized at speeds close to the self-selected preferred walking speed and increased during running as speed was increased. Furthermore, lower limb attractor stability was highest at a particular gait mode closest to the corresponding preferred speed, in support of the prediction of dynamical systems theory. This was not the case for the sacrum displacement attractor, suggesting that lower limb attractor behavior provides a more appropriate order parameter compared with sacrum displacement.

Footnotes

  • Competing interests

    The authors declare no competing or financial interests.

  • Author contributions

    Conceptualization: J.A.K., S.R.W., N.S.; Methodology: P.C.R., J.A.K., S.R.W., N.S.; Formal analysis: P.C.R.; Investigation: P.C.R., J.A.K., S.R.W.; Writing - original draft: P.C.R., J.A.K., S.R.W., N.S.; Writing - review & editing: P.C.R., J.A.K., S.R.W., N.S.; Funding acquisition: S.R.W., N.S.

  • Funding

    This work was supported by the Center for Research in Human Movement Variability and the National Institutes of Health (P20GM109090 and R15HD08682). Deposited in PMC for release after 12 months.

  • Received February 26, 2020.
  • Accepted June 2, 2020.
  • © 2020. Published by The Company of Biologists Ltd
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Keywords

  • Locomotion
  • Dynamical system theory
  • Dynamics
  • Coordination
  • Gait

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Research Article
To walk or to run – a question of movement attractor stability
Peter C. Raffalt, Jenny A. Kent, Shane R. Wurdeman, Nick Stergiou
Journal of Experimental Biology 2020 223: jeb224113 doi: 10.1242/jeb.224113 Published 1 July 2020
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Research Article
To walk or to run – a question of movement attractor stability
Peter C. Raffalt, Jenny A. Kent, Shane R. Wurdeman, Nick Stergiou
Journal of Experimental Biology 2020 223: jeb224113 doi: 10.1242/jeb.224113 Published 1 July 2020

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