Orthopaedic knee prosthesis having controlled condylar curvature
An orthopaedic 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 having (i) a medial condyle surface curved in the sagittal plane, (ii) a lateral condyle surface curved in the sagittal plane and spaced apart from the medial condyle surface to define an intercondylar notch therebetween, and (iii) a posterior cam positioned in the intercondylar notch; and
a tibial bearing having (i) a medial bearing surface corresponding to and configured to articulate with the medial condyle surface of the femoral component (ii) a lateral bearing surface corresponding to and configured to articulate with the lateral condyle surface of the femoral component, and a spine positioned between the medial bearing surface and the lateral bearing surface,
wherein the medial condyle surface (i) contacts the medial bearing at a first contact point on the medial condyle surface at a first degree of flexion, the first degree of flexion being less than 10 degrees, and (ii) contacts the medial bearing surface at a second contact point on the medial condyle surface at a second degree of flexion, the second degree of flexion being greater than the first degree of flexion,
wherein the lateral condyle surface (i) contacts the lateral bearing surface at a first point on the lateral condyle surface at a third degree of flexion, the third degree of flexion being less than 10 degrees, and (ii) contacts the lateral bearing surface at a second point on the lateral condyle surface at a fourth degree of flexion, the fourth degree of flexion being greater than the third degree of flexion,
wherein the medial condyle surface is shaped such that in the sagittal plane the medial condyle surface (i) has a first radius of curvature at the first contact point on the medial condyle surface, and (ii) has a second radius of curvature at the second contact point on the medial condyle surface different from the first radius of curvature, and
wherein the lateral condyle surface is shaped such that in the sagittal plane the lateral condyle surface (i) has a third radius of curvature at the first contact point on the lateral condyle surface, the third radius of curvature being different than the first radius of curvature, and (ii) has a fourth radius of curvature at the second contact point on the lateral condyle surface, the fourth radius of curvature being different from the second radius of curvature and the third radius of curvature,
wherein the medial condyle surface has a plurality of radii of curvature between the first contact point and the second contact point on the medial condyle surface to transition from the first radius of curvature to the second radius of curvature over a range of flexion,
wherein the lateral condyle surface has a plurality of radii of curvature between the first contact point and the second contact point on the lateral condyle surface to transition from the third radius of curvature to the fourth radius of curvature over a range of flexion
wherein at least one of the plurality of radii of curvature of the medial condyle surface or the lateral condyle surface define a first plurality of contact points on the corresponding medial condyle surface or lateral condyle surface and wherein each contact point of the first plurality of contact points is defined by a ray extending from a common origin to the respective contact point of the first 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 in the range of 29.000000 to 41.000000, b is a coefficient value equal to approximately 0.016669, c is a coefficient value equal to approximately 0.000270, and d is a coefficient value equal to approximately 0.000012, and
wherein the posterior cam of the femoral component contacts the spine of the tibial bearing at a contact degree of flexion, wherein the contact degree of flexion is greater than each of the second degree of flexion and the fourth degree of flexion.
2. The orthopaedic knee prosthesis of claim 1 , wherein the other one of the plurality of radii of curvature define a second plurality of contact points on the other condyle surface of the medial or lateral condyle surface and wherein each contact point of the second plurality of contact points is defined by a ray extending from a common origin to the respective contact point of the second plurality of contact points, each ray having a length defined by the following polynomial equation:
r θ =( a 2+( b 2*θ)+( c 2*θ 2 )+( d 2*θ 3 )),
wherein r θ is the length of the ray defining a contact point at θ degrees of flexion and a2, b2, c2, and d2 are coefficient values.
3. The orthopaedic knee prosthesis of claim 2 , wherein the coefficient value a2 is different from the coefficient value a, the coefficient value b2 is equal to approximately 0.016669, the coefficient value c2 is equal to approximately 0.000270, and the coefficient value d2 is equal to approximately 0.000012.
4. The orthopaedic knee prosthesis of claim 2 , wherein the coefficient a2 is different from the coefficient value a, the coefficient b2 is different from the coefficient value b, the coefficient c2 is different from the coefficient value c, or the coefficient d2 is different from the coefficient value d.
5. The orthopaedic knee prosthesis of claim 1 , wherein the coefficient a2 is equal to the coefficient value a, the coefficient b2 is equal to the coefficient value b, the coefficient c2 is equal to the coefficient value c, and the coefficient d2 is equal to the coefficient value d.
6. The orthopaedic knee prosthesis of claim 1 , wherein the coefficient value b is equal to approximately 0.0166694187, the coefficient value c is equal to approximately 0.00027002378, and the coefficient value d is equal to approximately 0.0000124837.
7. The orthopaedic knee prosthesis of claim 1 , wherein:
the medial condyle surface contacts the medial bearing surface at a fifth contact point on the medial condyle surface at a fifth degree of flexion, the fifth degree of flexion being greater than the second degree of flexion and less than contact degree of flexion; and
the lateral condyle surface contacts the lateral bearing surface at a sixth contact point on the lateral condyle surface at a sixth degree of flexion, the sixth degree of flexion being greater than the fourth degree of flexion and less than contact degree of flexion.
8. The orthopaedic knee prosthesis of claim 7 , wherein the contact degree of flexion is no greater than about 10 degrees more than the greater degree of flexion of the fifth degree of flexion and the sixth degree of flexion.
9. The orthopaedic knee prosthesis of claim 7 , wherein each of the fifth degree of flexion and the sixth degree of flexion is at least 75 degrees.
10. The orthopaedic knee prosthesis of claim 7 , wherein:
the ratio of the first radius of curvature to the fifth radius of curvature is greater than 1.000, and
the ratio of the third radius of curvature to the sixth radius of curvature is greater than 1.000.
11. The orthopaedic knee prosthesis of claim 1 , wherein
the ratio of the first radius of curvature to the second radius of curvature is greater than 1.200, and
the ratio of the third radius of curvature to the fourth radius of curvature is greater than 1.200.
12. The orthopaedic knee prosthesis of claim 11 , wherein the coefficient value b is equal to approximately 0.0166694187, the coefficient value c is equal to approximately 0.00027002378, and the coefficient value d is equal to approximately 0.0000124837.
13. The orthopaedic knee prosthesis of claim 11 , wherein the pair of spaced apart condyles of the femoral component are symmetrical.
14. The orthopaedic knee prosthesis of claim 11 , wherein the pair of spaced apart condyles of the femoral component are asymmetrical.
15. The orthopaedic knee prosthesis of claim 14 , wherein the contact degree of flexion is no greater than about 10 degrees more than the third degree of flexion.
16. The orthopaedic knee prosthesis of claim 14 , wherein the third degree of flexion is at least 75 degrees.
17. The orthopaedic knee prosthesis of claim 14 , wherein the ratio of the first radius of curvature to the third radius of curvature is greater than 1.000.
18. The orthopaedic knee prosthesis of claim 11 , wherein the condyle surface 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 less than contact degree of flexion.
19. The orthopaedic knee prosthesis of claim 11 , wherein the ratio of the first radius of curvature to the second radius of curvature is greater than 1.200.
20. The orthopaedic knee prosthesis of claim 11 , wherein a distance between an origin of the first radius of curvature and the common origin of the rays is in the range of 1.0 to 4.5 millimeters.
21. An orthopaedic knee prosthesis comprising:
a femoral component including (i) a pair of spaced apart condyles defining an intracondylar notch therebetween, at least one of the pair of spaced apart condyles having a condyle surface curved in the sagittal plane and (ii) a posterior cam positioned in the intracondylar notch; and
a tibial bearing including (i) a platform having a bearing surface configured to articulate with the condyle surface of the femoral component and (ii) a spine extending upwardly from the platform,
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 10 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 at least 70 degrees, and (iii) 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 the posterior cam of the femoral component contacts the spine of the tibial bearing at a contact degree of flexion greater than 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 in the range of 29.000000 to 41.000000, b is a coefficient value equal to approximately 0.016669, c is a coefficient value equal to approximately 0.000270, and d is a coefficient value equal to approximately 0.000012.