A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking

Theoretical studies and robotic experiments have shown that asymptotically stable periodic walking may emerge from nonlinear limit-cycle oscillators in the neuro-mechanical periphery. We recently reported entrainment of human gait to periodic mechanical perturbations with two essential features: 1)...

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Main Authors: Ahn, Jooeun, Hogan, Neville
Other Authors: Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Format: Article
Language:en_US
Published: Public Library of Science 2013
Online Access:http://hdl.handle.net/1721.1/76353
https://orcid.org/0000-0001-5366-2145
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author Ahn, Jooeun
Hogan, Neville
author2 Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
author_facet Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Ahn, Jooeun
Hogan, Neville
author_sort Ahn, Jooeun
collection MIT
description Theoretical studies and robotic experiments have shown that asymptotically stable periodic walking may emerge from nonlinear limit-cycle oscillators in the neuro-mechanical periphery. We recently reported entrainment of human gait to periodic mechanical perturbations with two essential features: 1) entrainment occurred only when the perturbation period was close to the original (preferred) walking period, and 2) entrainment was always accompanied by phase locking so that the perturbation occurred at the end of the double-stance phase. In this study, we show that a highly-simplified state-determined walking model can reproduce several salient nonlinear limit-cycle behaviors of human walking: 1) periodic gait that is 2) asymptotically stable; 3) entrainment to periodic mechanical perturbations only when the perturbation period is close to the model's unperturbed period; and 4) phase-locking to locate the perturbation at the end of double stance. Importantly, this model requires neither supra-spinal control nor an intrinsic self-sustaining neural oscillator such as a rhythmic central pattern generator. Our results suggest that several prominent limit-cycle features of human walking may stem from simple afferent feedback processes without significant involvement of supra-spinal control or a self-sustaining oscillatory neural network.
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spelling mit-1721.1/763532022-10-01T23:40:04Z A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking Ahn, Jooeun Hogan, Neville Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences Massachusetts Institute of Technology. Department of Mechanical Engineering Hogan, Neville Ahn, Jooeun Theoretical studies and robotic experiments have shown that asymptotically stable periodic walking may emerge from nonlinear limit-cycle oscillators in the neuro-mechanical periphery. We recently reported entrainment of human gait to periodic mechanical perturbations with two essential features: 1) entrainment occurred only when the perturbation period was close to the original (preferred) walking period, and 2) entrainment was always accompanied by phase locking so that the perturbation occurred at the end of the double-stance phase. In this study, we show that a highly-simplified state-determined walking model can reproduce several salient nonlinear limit-cycle behaviors of human walking: 1) periodic gait that is 2) asymptotically stable; 3) entrainment to periodic mechanical perturbations only when the perturbation period is close to the model's unperturbed period; and 4) phase-locking to locate the perturbation at the end of double stance. Importantly, this model requires neither supra-spinal control nor an intrinsic self-sustaining neural oscillator such as a rhythmic central pattern generator. Our results suggest that several prominent limit-cycle features of human walking may stem from simple afferent feedback processes without significant involvement of supra-spinal control or a self-sustaining oscillatory neural network. New York (State). Center of Research Excellence (grant number CO19772) Eric P. and Evelyn E. Newman Fund Samsung Scholarship Foundation 2013-01-23T17:30:07Z 2013-01-23T17:30:07Z 2012-11 2012-05 Article http://purl.org/eprint/type/JournalArticle 1932-6203 http://hdl.handle.net/1721.1/76353 Ahn, Jooeun, and Neville Hogan. “A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking.” Ed. Ramesh Balasubramaniam. PLoS ONE 7.11 (2012): e47963. Web. https://orcid.org/0000-0001-5366-2145 en_US http://dx.doi.org/10.1371/journal.pone.0047963 PLoS One Creative Commons Attribution http://creativecommons.org/licenses/by/2.5/ application/pdf Public Library of Science PLoS
spellingShingle Ahn, Jooeun
Hogan, Neville
A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking
title A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking
title_full A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking
title_fullStr A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking
title_full_unstemmed A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking
title_short A Simple State-Determined Model Reproduces Entrainment and Phase-Locking of Human Walking
title_sort simple state determined model reproduces entrainment and phase locking of human walking
url http://hdl.handle.net/1721.1/76353
https://orcid.org/0000-0001-5366-2145
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