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A probabilistic finger biodynamic model better depicts the roles of the flexors during unloaded flexion
Authors:Kang Li  Xudong Zhang
Institution:1. Department of Orthopedics and Tumor Orthopedics, Münster University Hospital, Albert-Schweitzer-Campus 1, 48149 Münster, Germany;2. Department of Trauma Surgery, Medical University of Innsbruck, Anichstrasse 35, 6020, Innsbruck, Austria;3. Department of Orthopedics and Trauma Surgery, St. Josef-Hospital, University Hospital, Ruhr-University Bochum, Gudrunstrasse 56, 44791 Bochum, Germany;1. Department of Surgery, University of Michigan, Ann Arbor, MI, USA;2. Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI, USA;3. Department of Mechanical Engineering, University of Michigan, Ann Arbor, MI, USA;1. Department of Family and Community Medicine, University of Toronto, Toronto, ON, Canada;2. Brain and Spinal Cord Rehabilitation Program, Toronto Rehabilitation Institute, University Health Network, Toronto, ON, Canada;3. Department of Medicine, University of Toronto, Toronto, ON, Canada;4. Department of Kinesiology, University of Waterloo, Waterloo, ON, Canada;5. Department of Health Research Methods, Evidence, and Impact, McMaster University, Hamilton, ON, Canada;6. Department of Medicine, McMaster University, Hamilton, ON, Canada
Abstract:Previous deterministic finger biomechanical models predicted that the flexor digitorum superficialis (FDS) was silent and the flexor digitorum profundus (FDP) was the only active flexor during finger flexion. Experimental studies in vivo, however, recorded activities of both flexors. In this study, in an attempt to elucidate the roles of the flexors, a probabilistic biodynamic model of the index finger was constructed to estimate the muscle–tendon forces during an experimentally measured index finger flexion movement.A Monte-Carlo simulation was performed with four model parameters, including moment arms, physiological cross sectional areas (PCSA), passive torques, and anthropometric measures as independent random variables. The muscle-tendon forces at each time point were determined using a nonlinear optimization technique. The model predicted that both FDS and FDP contributed to sustaining the movement and the FDS was not necessarily silent. The two distinct force patterns observed in vivo in experimental studies were also corroborated by the simulation. These findings, contrary to previous deterministic models’ predictions but in agreement with experimental measurements, explained the observed coactivation of FDS and FDP, and resolved the controversy regarding the roles of the flexors in finger movement dynamics.
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