IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0157010.html
   My bibliography  Save this article

Knee Kinematics Estimation Using Multi-Body Optimisation Embedding a Knee Joint Stiffness Matrix: A Feasibility Study

Author

Listed:
  • Vincent Richard
  • Giuliano Lamberto
  • Tung-Wu Lu
  • Aurelio Cappozzo
  • Raphaël Dumas

Abstract

The use of multi-body optimisation (MBO) to estimate joint kinematics from stereophotogrammetric data while compensating for soft tissue artefact is still open to debate. Presently used joint models embedded in MBO, such as mechanical linkages, constitute a considerable simplification of joint function, preventing a detailed understanding of it. The present study proposes a knee joint model where femur and tibia are represented as rigid bodies connected through an elastic element the behaviour of which is described by a single stiffness matrix. The deformation energy, computed from the stiffness matrix and joint angles and displacements, is minimised within the MBO. Implemented as a “soft” constraint using a penalty-based method, this elastic joint description challenges the strictness of “hard” constraints. In this study, estimates of knee kinematics obtained using MBO embedding four different knee joint models (i.e., no constraints, spherical joint, parallel mechanism, and elastic joint) were compared against reference kinematics measured using bi-planar fluoroscopy on two healthy subjects ascending stairs. Bland-Altman analysis and sensitivity analysis investigating the influence of variations in the stiffness matrix terms on the estimated kinematics substantiate the conclusions. The difference between the reference knee joint angles and displacements and the corresponding estimates obtained using MBO embedding the stiffness matrix showed an average bias and standard deviation for kinematics of 0.9±3.2° and 1.6±2.3 mm. These values were lower than when no joint constraints (1.1±3.8°, 2.4±4.1 mm) or a parallel mechanism (7.7±3.6°, 1.6±1.7 mm) were used and were comparable to the values obtained with a spherical joint (1.0±3.2°, 1.3±1.9 mm). The study demonstrated the feasibility of substituting an elastic joint for more classic joint constraints in MBO.

Suggested Citation

  • 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.
  • Handle: RePEc:plo:pone00:0157010
    DOI: 10.1371/journal.pone.0157010
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0157010
    Download Restriction: no

    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0157010&type=printable
    Download Restriction: no

    File URL: https://libkey.io/10.1371/journal.pone.0157010?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Saulo Martelli & Giordano Valente & Marco Viceconti & Fulvia Taddei, 2015. "Sensitivity of a subject-specific musculoskeletal model to the uncertainties on the joint axes location," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 18(14), pages 1555-1563, October.
    2. P. Koell & L. Cheze & R. Dumas, 2010. "Prediction of internal spine configuration from external measurements using a multi-body model of the spine," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 13(S1), pages 79-80.
    3. 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.
    4. M.S. Andersen & M. Damsgaard & J. Rasmussen, 2009. "Kinematic analysis of over-determinate biomechanical systems," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 12(4), pages 371-384.
    5. R. Dumas & T. Robert & V. Pomero & L. Cheze, 2012. "Joint and segment coordinate systems revisited," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 15(S1), pages 183-185.
    6. J. Clément & N. Hagemeister & R. Dumas & M. Kanhonou & J.A. de Guise, 2014. "Influence of biomechanical multi-joint models used in global optimisation to estimate healthy and osteoarthritis knee kinematics," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 17(S1), pages 76-77, August.
    7. N. Hagemeister & M. Senk & R. Dumas & L. Chèze, 2011. "Effect of axis alignment on shoulder kinematics," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 14(08), pages 755-761.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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. T. Robert & A. Rouard & L. Seifert, 2013. "Biomechanical analysis of the strike motion in ice-climbing activity," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 16(S1), pages 90-92, July.
    3. Hossein Ehsani & Mostafa Rostami & Mohammad Gudarzi, 2016. "A general-purpose framework to simulate musculoskeletal system of human body: using a motion tracking approach," Computer Methods in Biomechanics and Biomedical Engineering, Taylor & Francis Journals, vol. 19(3), pages 306-319, February.
    4. Byong Hun Kim & Sae Yong Lee, 2021. "Validity and Reliability of a Novel Instrument for the Measurement of Subtalar Joint Axis of Rotation," IJERPH, MDPI, vol. 18(10), pages 1-10, May.
    5. Zainab Altai & Erica Montefiori & Bart van Veen & Margaret A. Paggiosi & Eugene V McCloskey & Marco Viceconti & Claudia Mazzà & Xinshan Li, 2021. "Femoral neck strain prediction during level walking using a combined musculoskeletal and finite element model approach," PLOS ONE, Public Library of Science, vol. 16(2), pages 1-19, February.
    6. 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.
    7. 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.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0157010. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.