Orthopaedic knee prosthesis having controlled condylar curvature
An orthopedic knee prosthesis includes a tibial bearing and a femoral component configured to articulate with the tibial bearing. The femoral component includes a posterior cam configured to contact a spine of the tibial bearing and a condyle surface curved in the sagittal plane. The radius of curvature of the condyle surface decreases gradually between early-flexion and mid-flexion. Additionally, in some embodiments, the radius of curvature of the condyle surface may be increased during mid-flexion.
1. An orthopaedic knee prosthesis comprising:
a femoral component including a condyle surface that is curved in the sagittal plane; and
a tibial bearing including a bearing surface configured to articulate with the condyle surface of the femoral component,
wherein the condyle surface of the femoral component (i) contacts the bearing surface at a first contact point on the condyle surface at a first degree of flexion, the first degree of flexion being less than about 30 degrees, (ii) contacts the bearing surface at a second contact point on the condyle surface at a second degree of flexion, the second degree of flexion being in the range of 35 degrees to 90 degrees, (iii) contacts the bearing surface at a third contact point on the condyle surface at a third degree of flexion, the third degree of flexion being greater than the second degree of flexion, and (iv) contacts the bearing surface at a plurality of contact points between the first contact point and the second contact point when the femoral component is moved from the first degree of flexion to the second degree of flexion,
wherein each contact point of the plurality of contact points is defined by a ray extending from a common origin to the respective contact point of the plurality of contact points, each ray having a length defined by the following polynomial equation:
r θ =( a +( b *θ)+( c*θ 2 )+( d*θ 3 )),
wherein r θ is the length of the ray defining a contact point at θ degrees of flexion, a is a coefficient value between 20 and 50, and b is a coefficient value in a range selected from the group consisting of: −0.30<b<0.00, 0.00<b<0.30, and b=0,
wherein when b is in the range of −0.30<b<0.00, (i) c is a coefficient value between 0.00 and 0.012 and (ii) d is a coefficient value between −0.00015 and 0.00,
wherein when b is in the range of 0<b<0.30, (i) c is a coefficient value between −0.010 and 0.00 and (ii) d is a coefficient value between −0.00015 and 0.00, and
wherein when b is equal to 0, (i) c is a coefficient value in a range selected from the group consisting of: −0.0020<c<0.00 and 0.00<c<0.0025 and (ii) d is a coefficient value between −0.00015 and 0.00.
2. The orthopaedic knee prosthesis of claim 1 , wherein:
the condyle surface in the sagittal plane has a first radius of curvature at the first contact point, the first radius of curvature having an origin, and
the distance between the origin of the first radius of curvature and the common origin of the rays is in the range of 0 and 10 millimeters.
3. The orthopaedic knee prosthesis of claim 1 , wherein the first degree of flexion is in the range of 0 degrees to 10 degrees, the second degree of flexion is in the range of 45 degrees to 55 degrees, and the third degree of flexion is in the range of about 65 degrees to about 75 degrees.
4. The orthopaedic knee prosthesis of claim 3 , wherein the first degree of flexion is about 0 degrees, the second degree of flexion is about 50 degrees, and the third degree of flexion is about 70 degrees.
5. The orthopaedic knee prosthesis of claim 1 , wherein:
(i) the condyle surface in the sagittal plane has a first radius of curvature at the first contact point, a second radius of curvature at the second contact point, and a third radius of curvature at the third radius of curvature, and
(ii) the third radius of curvature is greater than the second radius of curvature by at least 0.5 millimeters.
6. The orthopaedic knee prosthesis of claim 5 , wherein the third radius of curvature is greater than the first radius of curvature by at least 2 millimeters.
7. The orthopaedic knee prosthesis of claim 5 , wherein the third radius of curvature is greater than the first radius of curvature by at least 5 millimeters.
8. The orthopaedic knee prosthesis of claim 5 , wherein ratio of the first radius of curvature to the third radius of curvature is less than the ratio of the first radius of curvature to the second radius of curvature.
9. An orthopaedic knee prosthesis comprising:
a femoral component including a condyle surface that is curved in the sagittal plane; and
a tibial bearing including a bearing surface configured to articulate with the condyle surface of the femoral component,
wherein the condyle surface of the femoral component (i) contacts the bearing surface at a first contact point on the condyle surface at a first degree of flexion, (ii) contacts the bearing surface at a second contact point on the condyle surface at a second degree of flexion, the second degree of flexion being greater than the first degree of flexion and in the range of about 0 degrees to about 50 degrees, and (iii) contacts the bearing surface at a third contact point on the condyle surface at a third degree of flexion, the third degree of flexion being greater than the second degree of flexion and in the range of about 70 degrees to about 120 degrees,
wherein the condyle surface in the sagittal plane has a first radius of curvature at the first contact point, a second radius of curvature at the second contact point, and a third radius of curvature at the third contact point, the first radius of curvature being different from the second radius of curvature and the third radius of curvature,
wherein the condyle surface has a plurality of radii of curvature between the first contact point and the second contact point to transition from the first radius of curvature to the second radius of curvature over a range of degrees of flexion,
wherein the condyle surface contacts the bearing surface at a plurality of contact points between the first contact point and the second contact point when the femoral component is moved from the first degree of flexion to the second degree of flexion, and each contact point of the plurality of contact points is defined by a ray extending from a common origin to the respective contact point of the plurality of contact points, each ray having a length defined by the following polynomial equation:
r ϑ =( a +( b *ϑ)+( c*ϑ 2 )+( d*ϑ 3 )),
wherein r ϑ is the length of the ray defining a contact point at ϑ degrees of flexion, a is a coefficient value between 20 and 50, and b is a coefficient value in a range of 0.00<b<0.30, and
wherein (i) c is a coefficient value between −0.010 and 0.00 and (ii) d is a coefficient value between −0.00015 and 0.00.
10. The orthopaedic knee prosthesis of claim 9 , wherein the second degree of flexion is no greater than about 30 degrees.
11. The orthopaedic knee prosthesis claim 9 , wherein the range of degrees of flexion is about 50 degrees.