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Muscle and generation of force

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  • Muscle and generation of force

    Dear Sirs,

    I am working on my PhD on the Control System Laboratory
    of the Mechanical Engineering Department of the National
    Technical Universoty of Athens, Greece.

    I would like to ask some questions
    about muscle and generation of force.

    I would like to use the Hill-model
    which constitutes of a Contractile Element
    (CE), a Series Elastic Element (SE) and a
    parallel element (PE).
    First of all I would like to pose those questions:

    CE corrresponds to muscle fiber,
    SE to tendon and PE to other
    passive elements??

    Additionally, I have a question about the
    lengths of these elements. I have the following
    data for biceps (long) muscle:

    Lmt (max) = 41.94 cm, max musculotendon length
    Lmt (min) = 26.06 cm, min musculotendon length
    LoM = 15.36 cm, optimal muscle fiber length
    LsT = 22.93 cm, tendon slack length

    As I can understand the sum of the muscle fiber
    length and the tendon length is the Lmt length.
    Is this right?

    My question is this:

    In the value of LsT = 22.93 is the lenght of
    muscle fiber included?

    My question is based on the fact that I use
    the above equations:

    Fse = (Fsemax/(exp(SEsh) -1 ))*(exp(SEsh*dLse/dLsemax) - 1);
    Fpe = (FPemax/(exp(PEsh) -1 ))*(exp(PEsh*dLpe/dLpemax) - 1);

    and I wonder how can I compute the values of
    dLse, dLsemax,dLpe,dLpemax, which are the extensions
    of the elements SE and PE, subscript max indicates
    corresponding maximal values.

    I would be very gratefull if you can answer my question.

    Thanks in advance,

    Panagiotis Artemiadis

    Panagiotis K. Artemiadis
    PhD Candidate
    Control Systems Laboratory
    Mechanical Eng. Dept
    National Technical University of Athens
    9 Heroon Polytechniou Str.,
    Zografou Athens 15700, Greece
    Phone : ++30 - 210 - 7723656

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