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Original

Mathematical evaluation of jumping distance in total hip arthroplasty

Influence of abduction angle, femoral head offset, and head diameter

, , &
Pages 277-282 | Accepted 13 Jan 2009, Published online: 26 Oct 2009

Figures & data

Figure 1. The jumping distance is the lateral translation (AB) of the center of the femoral head (t) before dislocation occurs. F is the load force and y is the planar cup inclination angle measured in the frontal plane.

Figure 1. The jumping distance is the lateral translation (AB) of the center of the femoral head (t) before dislocation occurs. F is the load force and y is the planar cup inclination angle measured in the frontal plane.

Figure 2. Definition of the angular parameters used for positioning of the cup. O is the center of the cup, Oz is the cranio-caudal axis, Oy is the lateral-medial axis, and Ox is the postero-anterior axis. Starting at the reference position (I), a first rotation of value a (cup abduction angle) is performed around the anterior-posterior axis (II). A second rotation of value b (cup anteversion angle) is performed around the cranialcaudal axis (III).

Figure 2. Definition of the angular parameters used for positioning of the cup. O is the center of the cup, Oz is the cranio-caudal axis, Oy is the lateral-medial axis, and Ox is the postero-anterior axis. Starting at the reference position (I), a first rotation of value a (cup abduction angle) is performed around the anterior-posterior axis (II). A second rotation of value b (cup anteversion angle) is performed around the cranialcaudal axis (III).

Figure 3. The femoral head offset is the distance from the center of the head (O) to the opening plane of the cup (purple line). If the head center is outside the cup, the offset is positive (A); otherwise it is negative and is called inset (B). The use of large heads above 38 mm in diameter generally imposes the use of an offset because the cup is usually a truncated hemisphere of 165° for the large heads.

Figure 3. The femoral head offset is the distance from the center of the head (O) to the opening plane of the cup (purple line). If the head center is outside the cup, the offset is positive (A); otherwise it is negative and is called inset (B). The use of large heads above 38 mm in diameter generally imposes the use of an offset because the cup is usually a truncated hemisphere of 165° for the large heads.

Figure 4. Variation in jumping distance according to the cup abduction angle

Figure 4. Variation in jumping distance according to the cup abduction angle

Figure 5. Variation in jumping distance according to acetabular ante-version angle.

Figure 5. Variation in jumping distance according to acetabular ante-version angle.

Figure 6. Combined influence of head offset and diameter on the jumping distance. 45° abduction and 15° anteversion cup angles are used.

Figure 6. Combined influence of head offset and diameter on the jumping distance. 45° abduction and 15° anteversion cup angles are used.

Figure 7. Influence of femoral offset on jumping distance.

Figure 7. Influence of femoral offset on jumping distance.

Figure 8. Dependency of jumping distance on head diameter for current commercial designs. For diameters above 38 mm, the cup is an incomplete truncated hemisphere, causing a positive offset, which in turn causes a dip in the jumping distance.

Figure 8. Dependency of jumping distance on head diameter for current commercial designs. For diameters above 38 mm, the cup is an incomplete truncated hemisphere, causing a positive offset, which in turn causes a dip in the jumping distance.

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