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Biomechanical model for the determination of the forces acting on the finger pulley system
Authors:Roloff Isabelle  Schöffl Volker Rainer  Vigouroux Laurent  Quaine Franck
Institution:1. Institute of Medical Physics, Friedrich-Alexander-Universität Erlangen-Nürnberg, Marienplatz 4, 96050 Bamberg, Germany;2. Department of Trauma and Orthopaedic Surgery, Klinikum Bamberg, Teaching Hospital Friedrich-Alexander-Universität Erlangen-Nürnberg, Marienplatz 4, 96050 Bamberg, Germany;3. Laboratoire Sport et Performance Motrice, Université Joseph Fourier, Grenoble, Marienplatz 4, 96050 Bamberg, Germany;1. State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China;2. School of Ocean Science and Technology, Dalian University of Technology, Panjin 124221, China;1. Department of Trauma, Hand, Plastics and Reconstructive Surgery, University Clinics Würzburg, Würzburg, Germany;2. Department of Sports Medicine–Sports Orthopedics, Klinikum Bamberg, Bamberg, Germany;1. Department of Sports Orthopedics, Sports Medicine, Sports Traumatology and the Department of Orthopedics and Traumatology, Klinikum Bamberg, Bamberg, Germany (Drs Simon, Popp, Lutter, and Schöffl);2. Department of Trauma and Orthopedic Surgery, Friedrich Alexander University, Erlangen-Nuremberg, Germany (Dr Schöffl);1. Department of Sports Medicine–Sports Orthopedics, Klinikum Bamberg, Bamberg, Germany (Drs V. Schöffl and Popp);2. Department of Trauma Surgery, Friedrich Alexander University Erlangen-Nuremberg, Erlangen, Germany (Dr V Schöffl);3. Institute of Occupational and Social Medicine, RWTH Aachen Technical University, Aachen, Germany (Dr Küpper);4. Department of Pediatrics, Klinikum Bamberg, Bamberg, Germany (Dr I Schöffl);1. Department of Sports Orthopedics, Sports Medicine, Sports Traumatology, Department of Orthopedics and Traumatology, Klinikum Bamberg, Bamberg, Germany (Drs Schöffl, Lutter, and Popp);2. Department of Trauma and Orthopedic Surgery, Friedrich Alexander University, Erlangen-Nuremberg, Nuremberg, Germany (Dr Schöffl);3. the CVPath Institute, Gaithersburg, MD (Dr Lutter)
Abstract:A mathematical model proposed by Hume et al., 1991. Journal of Hand Surgery-American Volume 16, 722-730 for the determination of the forces acting on the A2 and A4 pulley was used. The parameters necessary for this determination include the angle of flexion, the positioning of the pulley with respect to the centre of rotation in the proximal interphalangeal joint (PIP), the relative mismatch between bone and tendon width at the location of the respective pulleys as well as the tendon height at this position. This model was further developed to include the stiffness of the respective pulley, as well as the fact, that there are two flexor tendons of which only one passes through both pulleys. Each parameter was then evaluated using a sensitivity analysis proposed by Fasham et al., 1990. Journal of Marine Research 48, 591-639 in order to determine their relative importance for the outcome of the model. The most important parameter proofed to be the positioning of the pulley with respect to the centre of rotation in the PIP joint. This observation enabled us to give the best possible placement for a pulley graft after pulley rupture.
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