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1st Joint ESMAC-GCMAS Meeting - Análise de Marcha

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(Fig. 1). Three markers on the acromion and medial and lateral epicondyles tracked motion of<br />

the humerus. Coordinates for these segments were formed consistent with ISB<br />

recommendations [2]. A static (anatomic) pose is captured with the elbow fully exten<strong>de</strong>d, the<br />

arm at neutral abduction and flexion, and the palm facing the subject’s thigh. The local<br />

(humeral) coordinate system (HCS) is transformed into the clinical flexion/extensionab/adduction<br />

coordinate system (CCS) for both the static and dynamic (activity) trials. The<br />

CCS is comprised of the previously <strong>de</strong>fined humeral ZH, and transformed x’- and y’-axes that<br />

are <strong>de</strong>fined as follows: (1) the x’-axis is taken to be the intersection of the humeral XHYH plane<br />

and the thoracic XTZT plane, which is, by <strong>de</strong>finition, perpendicular to the humeral z-axis; (2)<br />

the y’-axis is the cross product of the humeral z- and x’- axes. Relative rotations are calculated<br />

between the Thoracic and CCS, and helical-axis <strong>de</strong>composition is used to <strong>de</strong>compose the<br />

rotation matrices as <strong>de</strong>scribed previously [3]. The components of the helical axis in the CCS<br />

x’-, y’-, and z-axes will represent, respectively, the amount of clinical abduction, flexion, and<br />

internal rotation for a given shoul<strong>de</strong>r motion.<br />

Results<br />

Results of an able-bodied subject<br />

performing five shoul<strong>de</strong>r flexion/extension<br />

cycles are shown (Fig. 2). Decomposition<br />

of the angles in the HCS revealed 75<br />

<strong>de</strong>grees of peak rotation about the HCS<br />

XH-axis and 115 <strong>de</strong>grees of peak rotation<br />

about the HCS YH-axis. Alternatively, the<br />

measures of maximal abduction were<br />

found to be around 42 <strong>de</strong>grees, while there<br />

was a maximum 144 <strong>de</strong>grees of shoul<strong>de</strong>r<br />

flexion. The second approach more closely<br />

represents the motion observed clinically.<br />

While there was still some amount of<br />

ab/adduction, this is due to the fact that the<br />

subject was not constrained in their chosen<br />

path during flexion/extension trials.<br />

Discussion<br />

While use of <strong>de</strong>composition of the relative rotations of shoul<strong>de</strong>r motion generated using the<br />

HCS yields correct and useful information for the purposes of generating biomechanical<br />

mo<strong>de</strong>ls, this data does not represent the motion in terms that are always meaningful in the<br />

clinical setting. Use of the proposed CCS for <strong>de</strong>composing shoul<strong>de</strong>r motion transforms relative<br />

motions from those occurring about humerus-fixed axes to axes that relate to the thorax are<br />

more clinically relevant. Additionally, since this method uses helical-axis <strong>de</strong>composition, there<br />

is no need to alter rotation or<strong>de</strong>rs to compensate for the possibility of gimbal-lock due to either<br />

prescribed motions or unanticipated compensations. While this method is presented using<br />

relative motion of the humerus with respect to the trunk, it can easily be applied to examination<br />

of glenohumeral motion as well.<br />

References<br />

[1] An, Kai-Nan, (1991), Journal of Orthopaedic Research, 9, 143-9.<br />

[2] Wu, GE, (2005), Journal of Biomechanics, 38, 981-992.<br />

[3] Morrow, DA, (2003), Gait & Posture, 18, S35-S36.<br />

Figure 2. Kinematics from a subject<br />

performing shoul<strong>de</strong>r flexion trials for helicalaxis<br />

<strong>de</strong>composition of the motions in (A) the<br />

HCS, and (B) the CCS.<br />

- 105 -<br />

A B

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