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      Characterizing the Mechanical Properties of Running-Specific Prostheses

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      PLoS ONE
      Public Library of Science

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          Abstract

          The mechanical stiffness of running-specific prostheses likely affects the functional abilities of athletes with leg amputations. However, each prosthetic manufacturer recommends prostheses based on subjective stiffness categories rather than performance based metrics. The actual mechanical stiffness values of running-specific prostheses (i.e. kN/m) are unknown. Consequently, we sought to characterize and disseminate the stiffness values of running-specific prostheses so that researchers, clinicians, and athletes can objectively evaluate prosthetic function. We characterized the stiffness values of 55 running-specific prostheses across various models, stiffness categories, and heights using forces and angles representative of those measured from athletes with transtibial amputations during running. Characterizing prosthetic force-displacement profiles with a 2 nd degree polynomial explained 4.4% more of the variance than a linear function (p<0.001). The prosthetic stiffness values of manufacturer recommended stiffness categories varied between prosthetic models (p<0.001). Also, prosthetic stiffness was 10% to 39% less at angles typical of running 3 m/s and 6 m/s (10°-25°) compared to neutral (0°) (p<0.001). Furthermore, prosthetic stiffness was inversely related to height in J-shaped (p<0.001), but not C-shaped, prostheses. Running-specific prostheses should be tested under the demands of the respective activity in order to derive relevant characterizations of stiffness and function. In all, our results indicate that when athletes with leg amputations alter prosthetic model, height, and/or sagittal plane alignment, their prosthetic stiffness profiles also change; therefore variations in comfort, performance, etc. may be indirectly due to altered stiffness.

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          Most cited references16

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          MECHANICAL WORK IN RUNNING.

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            The effect of speed on leg stiffness and joint kinetics in human running.

            The goals of this study were to examine the following hypotheses: (a) there is a difference between the theoretically calculated (McMahon and Cheng, 1990. Journal of Biomechanics 23, 65-78) and the kinematically measured length changes of the spring-mass model and (b) the leg spring stiffness, the ankle spring stiffness and the knee spring stiffness are influenced by running speed. Thirteen athletes took part in this study. Force was measured using a "Kistler" force plate (1000 Hz). Kinematic data were recorded using two high-speed (120 Hz) video cameras. Each athlete completed trials running at five different velocities (approx. 2.5, 3.5, 4.5, 5.5 and 6.5 m/s). Running velocity influences the leg spring stiffness, the effective vertical spring stiffness and the spring stiffness at the knee joint. The spring stiffness at the ankle joint showed no statistical difference (p < 0.05) for the five velocities. The theoretically calculated length change of the spring-mass model significantly (p < 0.05) overestimated the actual length change. For running velocities up to 6.5 m/s the leg spring stiffness is influenced mostly by changes in stiffness at the knee joint.
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              The spring-mass model for running and hopping.

              R Blickhan (1989)
              A simple spring-mass model consisting of a massless spring attached to a point mass describes the interdependency of mechanical parameters characterizing running and hopping of humans as a function of speed. The bouncing mechanism itself results in a confinement of the free parameter space where solutions can be found. In particular, bouncing frequency and vertical displacement are closely related. Only a few parameters, such as the vector of the specific landing velocity and the specific leg length, are sufficient to determine the point of operation of the system. There are more physiological constraints than independent parameters. As constraints limit the parameter space where hopping is possible, they must be tuned to each other in order to allow for hopping at all. Within the range of physiologically possible hopping frequencies, a human hopper selects a frequency where the largest amount of energy can be delivered and still be stored elastically. During running and hopping animals use flat angles of the landing velocity resulting in maximum contact length. In this situation ground reaction force is proportional to specific contact time and total displacement is proportional to the square of the step duration. Contact time and hopping frequency are not simply determined by the natural frequency of the spring-mass system, but are influenced largely by the vector of the landing velocity. Differences in the aerial phase or in the angle of the landing velocity result in the different kinematic and dynamic patterns observed during running and hopping. Despite these differences, the model predicts the mass specific energy fluctuations of the center of mass per distance to be similar for runners and hoppers and similar to empirical data obtained for animals of various size.
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                Author and article information

                Contributors
                Role: Editor
                Journal
                PLoS One
                PLoS ONE
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, CA USA )
                1932-6203
                14 December 2016
                2016
                : 11
                : 12
                : e0168298
                Affiliations
                [1 ]Department of Integrative Physiology, University of Colorado, Boulder, Colorado, United States of America
                [2 ]Department of Veterans Affairs, Eastern Colorado Healthcare System, Denver, Colorado, United States of America
                Northwestern University, UNITED STATES
                Author notes

                Competing Interests: The authors have declared that no competing interests exist.

                • Conceptualization: ONB PT AMG.

                • Data curation: ONB PT AMG.

                • Formal analysis: ONB PT.

                • Funding acquisition: AMG.

                • Investigation: ONB PT AMG.

                • Methodology: ONB PT AMG.

                • Project administration: ONB PT AMG.

                • Resources: ONB PT AMG.

                • Software: ONB PT AMG.

                • Supervision: AMG.

                • Validation: ONB PT AMG.

                • Visualization: ONB PT AMG.

                • Writing – original draft: ONB PT AMG.

                • Writing – review & editing: ONB PT AMG.

                Article
                PONE-D-16-37743
                10.1371/journal.pone.0168298
                5156386
                27973573
                b9bbcc10-1ee1-4343-984d-509a1507bff4

                This is an open access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 public domain dedication.

                History
                : 20 September 2016
                : 28 November 2016
                Page count
                Figures: 4, Tables: 2, Pages: 16
                Funding
                Funded by: funder-id http://dx.doi.org/10.13039/100000005, U.S. Department of Defense;
                Award ID: W81XWH-11-2-0222
                Award Recipient :
                This project was supported by the BADER Consortium, a Department of Defense Congressionally Directed Medical Research Programs cooperative agreement (W81XWH-11-2-0222), http://www.defense.gov/. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
                Categories
                Research Article
                Biology and Life Sciences
                Biotechnology
                Medical Devices and Equipment
                Prosthetics
                Medicine and Health Sciences
                Medical Devices and Equipment
                Prosthetics
                Physical Sciences
                Materials Science
                Material Properties
                Mechanical Properties
                Stiffness
                Biology and Life Sciences
                Anatomy
                Musculoskeletal System
                Limbs (Anatomy)
                Legs
                Medicine and Health Sciences
                Anatomy
                Musculoskeletal System
                Limbs (Anatomy)
                Legs
                Biology and Life Sciences
                Organisms
                Animals
                Vertebrates
                Amniotes
                Mammals
                Cats
                Cheetahs
                Biology and Life Sciences
                Biomechanics
                Biological Locomotion
                Running
                Biology and Life Sciences
                Physiology
                Biological Locomotion
                Running
                Medicine and Health Sciences
                Physiology
                Biological Locomotion
                Running
                Physical Sciences
                Physics
                Classical Mechanics
                Mechanical Energy
                Physical Sciences
                Chemistry
                Polymer Chemistry
                Macromolecules
                Polymers
                Elastomers
                Rubber
                Physical Sciences
                Materials Science
                Materials by Structure
                Polymers
                Elastomers
                Rubber
                Biology and Life Sciences
                Physiology
                Physiological Parameters
                Body Weight
                Medicine and Health Sciences
                Physiology
                Physiological Parameters
                Body Weight
                Custom metadata
                The authors confirm that all data underlying the findings are fully available without restriction. All relevant data are within the paper and its Supporting Information files.

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                Uncategorized

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