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Improvements to Hoang et al.'s method for measuring passive length–tension properties of human gastrocnemius muscle in vivo
Authors:A Nordez  A Fouré  EW Dombroski  J-P Mariot  C Cornu  PJ McNair
Institution:1. Université de Nantes, Laboratoire “Motricité, Interactions, Performance”, EA 4334, UFR STAPS, Nantes, F-44000, France;2. Health and Rehabilitation Research Centre, Auckland University of Technology, Private Bag 92006, Auckland 1, New Zealand;3. Université du Maine, Laboratoire “Motricité, Interactions, Performance”, EA 4334, UFR Sciences, Le Mans, F-72085, France;1. Service de Chirurgie Orthopédique et Traumatologique, Hospices Civils de Lyon, Centre Hospitalier Lyon-Sud, Pierre-Bénite, France;2. Université Lyon 1, IFSTTAR, LBMC UMRT-9406, Laboratoire de Biomécanique et Mécanique des Chocs, Bron, France;1. Department of Orthopaedic Surgery, Kaiser Permanente, Baldwin Park, California, U.S.A.;2. Department of Orthopedic Surgery, Ventura County Medical Center, Ventura, California, U.S.A.;3. Department of Biostatistics, Programming & Research Database Services, Kaiser Permanente Southern California Research and Evaluation Department, Pasadena, California, U.S.A.;4. Department of Orthopaedic Surgery, University of Pittsburgh Center for Sports Medicine, Pittsburgh, Pennsylvania, U.S.A.;1. Departamento de Urología, Clínica Universidad de Navarra, Pamplona, Spain;2. Servicio de Urología, Hospital Universitario Son Espases, Mallorca, Spain;3. Departamento de Urología, Hospital Nuestra Señora del Rosario, Madrid, Spain;1. Department of Anatomy, University of Otago, Dunedin, New Zealand;2. Institute of Legal Medicine, University of Leipzig, Leipzig, Germany;3. Institute of Materials Science and Engineering, Chemnitz University of Technology, Chemnitz, Germany;4. Department of Macroscopic and Clinical Anatomy, Medical University of Graz, Graz, Austria;5. Department of Orthopaedic and Trauma Surgery, University of Leipzig, Leipzig, Germany;6. Fraunhofer IWU, Dresden, Germany;1. Institute of Biomedical Sciences, Department of Physiology and Biochemistry, University of Physical Education, Al. Jana Paw?a II 78, 31-571 Kraków, Poland;2. Department of Clinical Rehabilitation, University of Physical Education, Kraków, Poland;3. Institute of Sport, University of Physical Education, Kraków, Poland
Abstract:While the passive mechanical properties of a musculo-articular complex can be determined using the relationship between the articular angle and the passive torque developed in resistance to motion, the properties of different structures of the musculo-articular complex cannot be easily assessed. Recently, an elegant method has been proposed to estimate the passive length–tension properties of gastrocnemius muscle–tendon unit (Hoang et al., 2005). In the present paper, two improvements of this method are proposed to decrease the number of parameters required to assess the passive length–tension relationship from 9 to 2. Furthermore, these two parameters have physical meaning as they represent a passive muscle–tendon stiffness index (α) and the muscle–tendon slack length (l0). α and l0 are relevant clinical parameters to study the chronic effects of aging, training protocols or neuromuscular pathologies on the passive mechanical properties of the muscle–tendon unit. Eight healthy subjects performed passive loading/unloading cycles at 5°/s with knee angle at 6 knee angles to assess the torque–angle relationships and to apply the modified method. Numerical optimization was used to minimize the squared error between the experimental and the modeled relationships. The experiment was performed twice to assess the reliability of α and l0 across days. The results showed that the reliability of the two parameters was good (α: ICC=0.82, SEM=6.1 m?1, CV=6.3% and l0: ICC=0.83, SEM=0.29 cm, CV=0.9%). Using a sensitivity analysis, it was shown that the numerical solution was unique. Overall, the findings may provide increased interest in the method proposed by Hoang et al. (2005).
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