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SUMMARTNormal gait: Are joint angle standard deviations larger atma ximal joint angular velocities?

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  • SUMMARTNormal gait: Are joint angle standard deviations larger atma ximal joint angular velocities?

    Hello
    First, I apologise for the late summary, but I have problems with my email
    account.
    Second, there was no agreement in the answers to my question.
    It appears that the differences are due to different measurement methods.
    Per Slycke from X-sens, Anton van den Bogert and At Hof agreed with my
    observations, moreover Dr
    van den Bogert proposed a very nice explanation.
    Chris Kirtley, on the contrary, provided some data that apparently did not
    to suppport my observations.
    However, there were important methodological differences with my
    measurements,
    The response from Dr Yang, made it very clear how methodological differences

    could affect the results.

    My conclusion is that I stand on the "Dutch" side this time: My data
    supports it and
    the explanation is clear. Moreover, I think that the conversion of the
    stride time
    to percentage and the subsequent averaging introduces this kind of errors.

    Sincerely,

    Arturo FORNER CORDERO


    -----------ORIGINAL QUESTION-------------------
    > I measured normal walking on a treadmill, calculated the joint angles
    and angular velocities (sagittal plane), converted to stride percentage
    and then computed the mean and the standard deviation at every point. I
    find that at the hip, knee and ankle joints the maximal standard devations
    occurred when the joint angular velocity is maximal.
    > I searched the bibliography and Internet resources looking for results
    that confirm this observation. I did not find any reference to this
    "strange thing". So I ask you if this is a finding or a particular
    error.
    > My question is: Are standard deviations larger at maximal joint
    angular velocities?
    > If this is a true repeatable observation of many of you I would like
    to discuss about possible causes and different approaches to perform a
    "time normalisation" or,... to avoid it definitively.
    -------------------------------------------------------
    Your findings correspond to my practical experience when I developed our
    speedometer for runners/walkers. It was measured with gyros and
    accelerometers on the foot, so its not the joint angles but "absolute"
    angles with respect to the surface. However, these findings are not
    published etc., so it probably won't help you, but at least you know others
    have seen similar things...Good luck.

    Best regards,

    Per Slycke
    Xsens
    -------------------------------------------------------
    The phenomenon you describe has probably been observed by
    most people who have performed ensemble averaging of cyclic
    gait data. I don't think that the variability of movement is
    really larger at those times. It is just a consequence of how you
    measure the variability (with a standard deviation, after time
    normalization). When the velocity is high, small errors in timing
    can easily produce large errors in angle.

    I think some people use non-linear time normalization (time warping)
    to better align the individual gait cycles before averaging, but I
    can't give any references. Hopefully someone else gives you that
    information.

    Ton van den Bogert
    A.J. (Ton) van den Bogert, PhD
    Department of Biomedical Engineering
    Cleveland Clinic Foundation 9500 Euclid Avenue (ND-20)
    Cleveland, OH 44195, USA Phone/Fax: (216) 444-5566/9198
    -------------------------------------------------------

    I think there is something wrong here. Actually, the SDs are usually larger
    around the peaks of
    the angle curves (i.e. when angular velocity is near zero). See some
    examples at:

    http://www.univie.ac.at/cga/data

    Chris
    =====
    Dr. Chris Kirtley MD PhD
    Associate Professor Dept. of Biomedical Engineering
    Catholic University of America 620 Michigan Ave NE, Washington, DC 20064
    Tel. 202-319-6247, fax 202-319-4287 Email: kirtley@cua.edu
    -------------------------------------------------------

    what was the treadmill speed ? Was it a level walking? for normal walking
    (around 80m/min to 90m/min) the level path walking is about the same as the
    level treadmill walking, but fast than that you might have larger angular
    velocity


    the possibilities are 1) the steps of data measured- the subjects usually
    have to catch the speed of treadmill, the steps are not consistent. I took
    eight steps data after the subject had about 10 minutes warm up.
    For slow walking speed the variation might be larger in your study. You can

    check the step length and cadence by placing foot switch to check up.

    Dr Yang, SW [SMTP:swyang@bme.ym.edu.tw]
    -------------------------------------------------------

    I would suggest that this effect is an artifact of your data analysis.
    When angular velocity is high, angles change fast. Minor timing
    differences between subjects manifest themselves then in bigger
    standard deviations at times when angular velocity is high.
    I think this effect can be mathematically proven, but 'leave this as
    an exercise to the reader'.
    Yours,
    ************************************************** *****
    At Hof
    Institute of Human Movement Sciences &
    Laboratory of Human Movement Analysis AZG
    University of Groningen
    A. Deusinglaan 1, room 321
    postal address:
    PO Box 196
    NL-9700 AD GRONINGEN
    THE NETHERLANDS
    Tel: (31) 50 363 2645
    Fax: (31) 50 363 3150
    e-mail: a.l.hof@med.rug.nl
    http://www.ppsw.rug.nl/~ibw/
    ************************************************** *******
    -------------------------------------------------------


    Arturo FORNER CORDERO
    PhD Student.
    Mechanical Engineering
    University of Twente. The Netherlands

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