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A computationally efficient optimisation-based method for parameter identification of kinematically determinate and over-determinate biomechanical systems

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  • M.S. Andersen
  • M. Damsgaard
  • B. MacWilliams
  • J. Rasmussen

Abstract

This paper introduces a general optimisation-based method for identification of biomechanically relevant parameters in kinematically determinate and over-determinate systems from a given motion. The method is designed to find a set of parameters that is constant over the time frame of interest as well as the time-varying system coordinates, and it is particularly relevant for biomechanical motion analysis where the system parameters can be difficult to accurately determine by direct measurements. Although the parameter identification problem results in a large-scale optimisation problem, we show that, due to a special structure in the linearised Karush–Kuhn–Tucker optimality conditions, the solution can be found very efficiently. The method is applied to a set of test problems relevant for gait analysis. These involve determining the local coordinates of markers placed on the model, segment lengths and joint axes of rotation from both gait and range of motion experiments.

Suggested Citation

  • M.S. Andersen & M. Damsgaard & B. MacWilliams & J. Rasmussen, 2010. "A computationally efficient optimisation-based method for parameter identification of kinematically determinate and over-determinate biomechanical systems," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 13(2), pages 171-183.
  • Handle: RePEc:taf:gcmbxx:v:13:y:2010:i:2:p:171-183
    DOI: 10.1080/10255840903067080
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    Cited by:

    1. Mark Tröster & Sarah Budde & Christophe Maufroy & Michael Skipper Andersen & John Rasmussen & Urs Schneider & Thomas Bauernhansl, 2022. "Biomechanical Analysis of Stoop and Free-Style Squat Lifting and Lowering with a Generic Back-Support Exoskeleton Model," IJERPH, MDPI, vol. 19(15), pages 1-16, July.
    2. Kevin Ball & Thomas Greiner, 2012. "A procedure to refine joint kinematic assessments: Functional Alignment," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 15(5), pages 487-500.
    3. Nicholas Ali & Michael Skipper Andersen & John Rasmussen & D. Gordon E. Robertson & Gholamreza Rouhi, 2014. "The application of musculoskeletal modeling to investigate gender bias in non-contact ACL injury rate during single-leg landings," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 17(14), pages 1602-1616, October.
    4. Vincent Richard & Giuliano Lamberto & Tung-Wu Lu & Aurelio Cappozzo & Raphaël Dumas, 2016. "Knee Kinematics Estimation Using Multi-Body Optimisation Embedding a Knee Joint Stiffness Matrix: A Feasibility Study," PLOS ONE, Public Library of Science, vol. 11(6), pages 1-18, June.

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