The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds

Humans change joint quasi-stiffness (k joint ) and leg stiffness (kleg) when running at different speeds on level ground and during uphill and downhill running. These mechanical properties can inform device designs for running such as footwear, exoskeletons and prostheses. We measured kinetics and k...

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Main Authors: Caelyn E. Hirschman, Jana R. Montgomery, Alena M. Grabowski
Format: Article
Language:English
Published: The Royal Society 2024-04-01
Series:Royal Society Open Science
Subjects:
Online Access:https://royalsocietypublishing.org/doi/10.1098/rsos.231133
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author Caelyn E. Hirschman
Jana R. Montgomery
Alena M. Grabowski
author_facet Caelyn E. Hirschman
Jana R. Montgomery
Alena M. Grabowski
author_sort Caelyn E. Hirschman
collection DOAJ
description Humans change joint quasi-stiffness (k joint ) and leg stiffness (kleg) when running at different speeds on level ground and during uphill and downhill running. These mechanical properties can inform device designs for running such as footwear, exoskeletons and prostheses. We measured kinetics and kinematics from 17 runners (10 M; 7 F) at three speeds on 0°, ±2°, ±4° and ±6° slopes. We calculated ankle and knee k joint , the quotient of change in joint moment and angular displacement, and theoretical leg stiffness (klegT) based on the joint external moment arms and k joint . Runners increased k ankle at faster speeds (p < 0.01). Runners increased and decreased the ankle and knee contributions to klegT, respectively, by 2.89% per 1° steeper uphill slope (p < 0.01) during the first half of stance. Runners decreased and increased ankle and knee joint contributions to klegT, respectively, by 3.68% during the first half and 0.86% during the second half of stance per 1° steeper downhill slope (p < 0.01). Thus, biomimetic devices require stiffer k ankle for faster speeds, and greater ankle contributions and greater knee contributions to klegT during the first half of stance for steeper uphill and downhill slopes, respectively.
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spelling doaj.art-7ddaddfc043d47d6a099a604d4e66dba2024-04-17T07:05:53ZengThe Royal SocietyRoyal Society Open Science2054-57032024-04-0111410.1098/rsos.231133The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speedsCaelyn E. Hirschman0Jana R. Montgomery1Alena M. Grabowski2Applied Biomechanics Lab, University of Colorado Boulder , Boulder, CO, USAApplied Biomechanics Lab, University of Colorado Boulder , Boulder, CO, USAApplied Biomechanics Lab, University of Colorado Boulder , Boulder, CO, USAHumans change joint quasi-stiffness (k joint ) and leg stiffness (kleg) when running at different speeds on level ground and during uphill and downhill running. These mechanical properties can inform device designs for running such as footwear, exoskeletons and prostheses. We measured kinetics and kinematics from 17 runners (10 M; 7 F) at three speeds on 0°, ±2°, ±4° and ±6° slopes. We calculated ankle and knee k joint , the quotient of change in joint moment and angular displacement, and theoretical leg stiffness (klegT) based on the joint external moment arms and k joint . Runners increased k ankle at faster speeds (p < 0.01). Runners increased and decreased the ankle and knee contributions to klegT, respectively, by 2.89% per 1° steeper uphill slope (p < 0.01) during the first half of stance. Runners decreased and increased ankle and knee joint contributions to klegT, respectively, by 3.68% during the first half and 0.86% during the second half of stance per 1° steeper downhill slope (p < 0.01). Thus, biomimetic devices require stiffer k ankle for faster speeds, and greater ankle contributions and greater knee contributions to klegT during the first half of stance for steeper uphill and downhill slopes, respectively.https://royalsocietypublishing.org/doi/10.1098/rsos.231133sloped runningspring–mass modelbiomimetic device designbiomechanics
spellingShingle Caelyn E. Hirschman
Jana R. Montgomery
Alena M. Grabowski
The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds
Royal Society Open Science
sloped running
spring–mass model
biomimetic device design
biomechanics
title The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds
title_full The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds
title_fullStr The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds
title_full_unstemmed The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds
title_short The contribution of lower-limb joint quasi-stiffness to theoretical leg stiffness during level, uphill and downhill running at different speeds
title_sort contribution of lower limb joint quasi stiffness to theoretical leg stiffness during level uphill and downhill running at different speeds
topic sloped running
spring–mass model
biomimetic device design
biomechanics
url https://royalsocietypublishing.org/doi/10.1098/rsos.231133
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