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    Dear sucscribers,

    Some time ago I posted the following question on BIOMCH-L. I received
    two responses which are listed below.
    Thanks

    Carlijn Bouten

    -------------------------------------------------------------

    Question:

    I am looking for research relating body acceleration (measured with
    accelerometers or obtained from kinematic data in movement analysis)
    to mechanical energy expenditure or power during human locomotion.
    This to find a theoretical basis for the experimentally established
    linear relationship between metabolic energy expenditure and accele-
    ration, measured with accelerometers on the human body. This relation-
    ship is demonstrated by many authors - including myself - in studies
    on the assessment of (daily) physical activity. In these studies
    accelerations are usually measured on the low back, near the body
    centre of mass, and converted to the time integral of absolute accele-
    ration ('activity counts').
    In order to relate metabolic energy expenditure to the mechanical
    parameter 'activity count', we now focus on the relationship between
    mechanical energy expenditure or power and 'activity count', assuming
    a direct correlation between metabolic and mechanical energy for a
    given activity (i.e. mechanical efficiency).

    Carlijn Bouten
    Eindhoven University of Technology
    Division of Fundamentals
    P.O.Box 513
    NL-5600 MB EINDHOVEN
    The Netherlands
    e-mail: carlijn@WFW.WTB.TUE.NL

    ------------------------------------------------------------------
    Date: Wed, 11 May 1994 16:19:06 -0700
    From: sabelman@roses.Stanford.EDU (Eric Sabelman)
    Subject: body motion accelerometry

    In response to your posting, we offer the following information on the
    use of accelerometers for human body motion analysis. Our experience
    has been mainlyv with micro-machined silicon piezoresistive accelero-
    meters. We do not recommend using silicon accelerometers made by
    older methods (e.g.: Entran and others) because of high cost, fragile
    wiring and change in electrical characteristics after impact loading.
    Suppliers of micromachined devices include IC Sensors, NovaSensor and
    SenSym. (SenSym, I have been told, has been bought and may leave
    the field.) Each uses slightly different chip design and packaging.
    Note also that piezoresistive sensors detect the steady-state pull of
    gravity as well as inertial acceleration due to the start and stop of
    motion. Piezoelectric sensors can detect only the latter, with a
    low-frequency cutoff typically about 10 Hz, causing slow motion data
    to be lost. The gravitational component superimposed on the inertial
    component prevents simple integration to calculate change in position,
    but has the advantage of providing a continuous vertical reference.
    Integration is also made difficult by a 1 to 2% error due to gravity
    in the non-sensitive axis direction. These constraints led us to
    decide upon pattern-matching, peak-detection and Fourier spectrum
    analytical methods, rather than try to derive absolute position by
    double integration. We also use the sensors as tilt-meters, by fil-
    tering out signals above about 0.2 Hz, on the assumption that higher
    frequencies represent the inertial component (valid only for con-
    strained motions). If the signal is high-pass-filtered, these ac-
    celerometers are equivalent to piezoelectric ones, but without need
    for charge amplifiers.

    Our experience has been mainly with 15 G range IC Sensors devices,
    most recently in the model 3031 surface mount package. At 0.3 X 0.3 X
    0.14 inches, these are small enough for unobtrusive mounting on the
    body, even after assembly of three sensors for multi-axis sensing.
    Cost is very reasonable ($58/channel) compared to piezoelectric
    devices. The company supplies a calibration sheet for each sensor
    only at extra cost; since there are significant variations in offset
    and slope of the voltage-to-acceleration curve within a batch of
    sensors; we calibrate each sensor periodically in a fixture that
    places it with its sensitive axis up, down and horizontal (11 and 0
    G). Two out of about 40 sensors have failed (showing uncontrolled
    drift, probably due to oxide in an internal connection) and were
    replaced by the company under warranty. The company has a long lead
    time (90 days) before delivery of 15 G 3031 accelerometers, due to
    selection for high sensitivity out of batches of 120 G sensors; the
    company plans to produce batches specifically for 15 G range as
    demand increases and techniques improve.
    Presently, the cables from the sensors are plugged into a custom-made
    amplifier board inside a self-contained wearable computer/recorder.
    This allows the wearer to move about without being tethered to a fixed
    computer. The cost and complexity of a radio telemetry system for 12
    data channels, and the need to acquire data outside the laboratory,
    precluded transmitting the sensor outputs to a fixed receiver. After
    40 to 180 minutes of data collection, a telephone-type modular cable
    is plugged into the wearable recorder to send the stored data to a
    fixed computer.
    While the wearable recorder's microcomputer is slow and thus cannot
    perform the real-time signal analysis we eventually want to do, it
    functions quite well for taking data at up to 50 samples per second
    with 12 channels per sample accurate to one part in 1024. Recording
    is started, stopped and coded for identification of the wearer's
    activity using an infrared remote control, so the experimenter
    does not have to have physical contact.
    The need for 12 channels arises because we are trying to describe both
    translational and rotational motion of the head and trunk, requiring a
    minimum of 6 degrees-of-freedom assuming each is a rigid body (not
    exactly true, but close enough). Fewer channels leads to ambiguity and
    a high number of false alarms if the system is used as a fall detec-
    tor. We anticipate clinical use of accelerometric instrumentation to
    occur in three stages: first, as a diagnostic tool to quantify hither-
    to qualitative measures of balance; second, as a biofeedback device
    during therapy; and third, as a fall-prevention aid P which might be
    called a Rbalance orthosisS P for continuous use by institutionalized
    and community-living fall-prone elderly.
    Your interest is in deriving energy expenditure from body acceler-
    ation, which also should be more precise if calculated from multiple
    sites, not just at the center of mass. I am aware of one paper (Balo-
    gun, J.A., Amusa, L.O., Onyewadume, I.U., Factors affecting 'Caltrac'
    and 'Calcount' accelerometer output, Physical Therapy, 68:1500-1504,
    1988) which describes large variations in "energy" depending on where
    on the body a single accelerometer is placed. I would appreciate
    receiving copies of your papers on the subject, especially if
    you have overcome this difficulty.
    The VA Rehabilitation R&D Center encourages establishing multi-center
    collaborations for evaluation of devices we have developed, and a
    number of such collaborations are explicitly included in the recently
    approved 3-year extension of the grant under which this work is being
    carried out. We are open to additional collaborations to the extent
    of our resources. We are also open to negotiation of Cooperative R&D
    Agreements with private industry for commercialization of this tech-
    nology. If you are interested in pursuing either option, please
    e-mail, write or call me at 415-493-5000 x 3345.

    Eric E. Sabelman, PhD Section Chief, Human/Machine Integration Section
    VA Rehabilitation R&D Center 3801 Miranda Ave #153 Palo Alto, CA 94304

    ----------------------------------------------------------------


    Wed May 11 15:41:41 1994
    From: Paul Guy

    Hi Carlijn,
    We have an ftp site where I have put some data (2D) of a typical
    subject. This is one of the many hundreds that we have collected, and
    is otherwise noteable in that is one of the sample subjects used in
    Dr. Winter's textbook 'BIOMECHANICS and MOTOR CONTROL of HUMAN MOVEM-
    ENT',2nd edition,John Wiley and Sons,1990.
    The site is 'gaitlab1.uwaterloo.ca', and the file is
    '/pub/foryou/wn35b.km'. You should look at the 'readme' file in the
    same directory. This file is a listing from a fortran program, and
    will be a lot more readable if you print it on a 132 column printer
    (or standard printer in compressed mode). You can import this file
    into a spreadsheet, just be careful of the positions of the column
    titles..
    Don't take this data as 'gospel', it was made under conditions that
    might make it irrelevant for your purposes.
    We have data that might be more relevant to your purposes, but I
    thinkwe'd have to enter into a more formal correspondence before
    satisfying any of your needs.

    -Paul
    -------------------------------------------------------------
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