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antagonism or optimisation

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  • antagonism or optimisation

    Dear All,
    I am currently attempting to explore the distribution of muscle force in the
    muscles of the lower limb. I have a 3D model mathematical model of the
    lower limb with muscle locations, lever arms, etc. Fortunately I also have
    a set of hip joint contact forces measured in vivo (Georg Bergmann's group)
    to provide validation for my attempts. I am, however, finding it very
    difficult to reproduce a suitable level of antagonism in the system to
    ensure that my calculated results are the same as the measured values.

    Peak values of hip joint contact forces seem to be in reasonable agreement
    with those measured, but it appears that the strategy I am using does not
    produce the correct form of antagonism during swing. The body appears to
    over stiffen the joint during early swing and before foot contact.

    I have tried the following muscle force distribution strategies:
    -Minimisation of maximum stress in any one muscle
    -Minimisation of sum of muscle forces
    -Minimisation of sum of squared muscle forces
    -Minimisation of sum of cubed muscle forces

    In addition I have tried the following forced antagonism:
    -Forced antagonism at varying levels (ensures that the muscles over
    constrain a joint by xNm)
    -Look forward to level of joint moment 0.x of a second in front and attempt
    to move smoothly towards that value by imposing antagonism at a level
    dependent on how long to the peak value and how much bigger than the current
    value of moment it is.

    I have also constrained the muscle forces to have a maximum change of stress
    with time.

    I would like to hear of any suggestions people have for distribution of
    force to the muscles. I believe I have read about most of the options, but
    would welcome all views.

    I will summarise responses in due course.

    Thanks,

    Ben Stansfield

    PhD, CEng, MIMechE
    Lecturer
    Bioengineering Unit
    University of Strathclyde
    Wolfson Centre
    106 Rottenrow
    Glasgow
    G4 0NW
    Tel: ++44 (0)141 548 3031
    Fax: ++44 (0)141 552 6098
    benedict.stansfield@strath.ac.uk

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