Aspheric hip bearing couple
A joint prosthesis device comprises a head configured to fit within a cup and in one embodiment includes a first member for attachment to a first bone in a joint and including a first articulation surface portion defined by a first radius of curvature and a second member for attachment to a second bone in the joint and including a second articulation surface portion defined by a second radius of curvature and a third articulation surface defined by a third radius of curvature, wherein each of the second radius of curvature and the third radius of curvature has a length that is different from the length of the first radius of curvature by less than 0.05 millimeters and wherein the origin of the second radius of curvature is not coincident with the origin of the third radius of curvature.
1. A prosthetic device comprising:
a cup including a concave surface defining a cavity, the concave surface defined by at least one radius of curvature (RC); and
a head including an articulation portion configured to fit at least partially within the cavity, the articulation portion including a toroidal portion of a spindle torus defined by a toroidal radius of curvature (RT) having a circular origin and a cap portion defined by a cap radius of curvature (RP), wherein the RC is less than 0.05 millimeters longer than the RT.
2. The device of claim 1 , wherein the circular origin is located on a plane that is perpendicular to an axis extending through the origin of the second radius of curvature and through the center of the cap portion, the plane located between the origin and the cap portion.
3. The device of claim 2 , wherein the cap portion is defined by an opening angle of less than 125 degrees.
4. A prosthetic device comprising:
a cup including a concave surface defining a cavity, the concave surface defined by at least one radius of curvature (RC); and
a head including an outer surface and configured to fit at least partially within the cavity, the outer surface including a cap portion defined by a cap radius of curvature (RP) and a toroidal portion of a spindle torus located about the cap portion and defined by a toroidal radius of curvature (RT), wherein the cap portion is configured to conform with the concave cup surface and the RC is less than 0.05 millimeters longer than the RT.
5. The prosthetic device of claim 4 , wherein the toroidal portion is the lemon portion of the spindle torus.
6. The prosthetic device of claim 4 , wherein the RC is less than 0.05 millimeters longer than the RP.
7. The prosthetic device of claim 6 , wherein:
the RP defines the cap portion from a single origin; and
the RT has a circular origin located on a plane that is perpendicular to an axis extending through the origin of the second radius of curvature and through the center of the cap portion, the plane located between the origin and the cap portion.
8. The prosthetic device of claim 7 , wherein the cap portion is defined by an opening angle of less than 125 degrees.
9. The prosthetic device of claim 7 , wherein the cap portion is defined by an opening angle of about 95 degrees.
10. A prosthetic ball and cup joint system comprising:
a first member for attachment to a first bone in a joint and including a first articulation surface portion defined by a first radius of curvature; and
a second member for attachment to a second bone in the joint and including a second articulation surface portion defined by a second radius of curvature and a third articulation surface defined by a third radius of curvature, wherein each of the second radius of curvature and the third radius of curvature has a length that is different from the length of the first radius of curvature by less than 0.05 millimeters and wherein the origin of the second radius of curvature is not coincident with the origin of the third radius of curvature, wherein
the first radius of curvature defines a concave articulation surface,
the second radius of curvature defines a convex articulation surface,
the third radius of curvature defines a convex articulation surface, and
the third articulation surface is defined by the lemon portion of a spindle torus.
11. The system of claim 10 , wherein the spindle torus is formed using a circular origin located on a plane that is perpendicular to an axis extending through the origin of the second radius of curvature and through the center of the second articulation surface.
12. The system of claim 11 , wherein the difference in length between the first radius of curvature and the second radius of curvature is about 0.015 millimeters and the difference in length between the first radius of curvature and the third radius of curvature is about 0.038 millimeters.