Mechanics of Glenohumeral Instability.
Last updated Friday, February 04, 2005
The effective glenoid arcEffective shape of the glenoid The glenoid concavity is formed by a combination of the shape of the
underlying bone and the overlying cartilage and labrum (see figures 17
and 18). (Howell and Galinat, 1989; Soslowsky et al, 1992) The
effective glenoid arc may be compromised by congenital deficiency
(glenoid hypoplasia), excessive compliance, traumatic lesions (rim
fractures or Bankart defects) or wear (see figure 19). (Altchek et al,
1991; Baker et al, 1990; Bankart, 1938; Cooper and Brems, 1992; Cyprien
et al, 1983; Howell and Galinat, 1989; Joessel, 1880; Lazarus, Sidles,
Harryman et al, 1996; Lippitt, Vanderhooft, Harris et al, 1993; Matsen,
Lippitt, Sidles et al, 1994; Matsen and Thomas, 1990, Matsen et al,
1990; Neer and Foster, 1980; Pappas et al, 1983; Rowe, Patel and
Southmayd, 1978; Thomas and Matsen, 1989) The effective arc may be
augmented by anatomical repair of fractures or Bankart lesions (see
figure 20), by rim augmentation, by congruent glenoid bone grafting and
by glenoid osteotomy. (Lazarus, Sidles, Harryman et al, 1996)
The effective shape of the glenoid is revealed by the glenoidogram.
As the humeral head is translated from the center of the glenoid to the
rim in a given direction, the center of the humeral head traces the
glenoidogram, which has a characteristic gull-wing shape.
The glenoidogram is different for different directions of translation
as shown in (see figure 21) which demonstrates data recorded for the
superior, inferior, anterior, and posterior directions in a typical
shoulder. The shape of the glenoidogram can be predicted from the
humeral radius of curvature, the glenoid radius of curvature and the
balance stability angle (footnote 1). Glenoidograms Predicted glenoidograms are qualitatively similar to glenoidograms
measured experimentally (see figure 5). The glenoidogram also reveals
another important aspect of shoulder stability: the slope of the
glenoidogram at any point is equal to the tangent of the balance
stability angle (which equals the stability ratio) at that point. For
most glenoidograms it can be seen that the slope is steepest when the
humeral head is centered in the glenoid. Thus the joint has the highly
desirable property of being most stable when the head is centered. As
the humeral head is moved away from the center, the slope of the
glenoidogram and the stability ratio become less.
Thus, as the head is displaced from the glenoid center, it becomes
progressively more unstable. Once enough force is applied to displace
the head from the center, that same amount of force would easily
displace the humeral head over the glenoid lip. Note also that when the
humeral head is translated to the lip of the glenoid, the stability
ratio is, as expected, zero. These observations relate to the "jerk"
tests described for anterior (Lerat et al, 1994) and posterior (Matsen,
Lippitt, Sidles et al, 1994) instability: in these tests there is no
translation of the humeral head until the point where sudden and
substantial translation occurs. (Lazarus, Sidles, Harryman et al, 1996;
Lippitt, Vanderhooft, Harris et al, 1993) Footnotes Footnote 1: Glenoidograms can be predicted given the radius of
curvature of the humeral head (Rh), the radius of curvature of the
glenoid fossa (Rg), the effective glenoid width (W) and the effective
glenoid depth (D), and the balance stability angle (BSA) in radians.
For each value of x (the distance away from the glenoid center line),
the perpendicular distance of the center of the humeral head away from
the glenoid bottom, y, is given by D - Rh + SQRT(RhRh-(W-x)(W-x)).
The sample spreadsheet displays the case where Rg = Rh = 25 mm and the
BSA = 30° = 0.5236 radians. In this case the effective glenoid
width (W) is = RgSin(BSA) and the effective glenoid depth (D) is = Rg(1-Cos(BSA)). The results of this prediction are shown in Table 1.Table 1 | Effective glenoid Width |
Effective Glenoid Depth |
|
|
| W |
D |
x |
y |
| Rg*Sin(BSA) |
Rg*(1-Cos(BSA)) |
|
D-Rh+SQRT(RhRh-(W-x)(W-x)) |
| 12.50 |
3.35 |
0 |
0 |
| 12.50 |
3.35 |
0.1 |
0.057428086 |
| 12.50 |
3.35 |
0.2 |
0.114245197 |
| 12.50 |
3.35 |
0.3 |
0.170456105 |
| 12.50 |
3.35 |
0.4 |
0.226065482 |
| 12.50 |
3.35 |
0.5 |
0.281077905 |
| 12.50 |
3.35 |
0.6 |
0.335497855 |
| 12.50 |
3.35 |
0.7 |
0.38932972 |
| 12.50 |
3.35 |
0.8 |
0.442577799 |
| 12.50 |
3.35 |
0.9 |
0.495246303 |
| 12.50 |
3.35 |
1 |
0.547339357 |
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