Posterior stabilized orthopaedic knee prosthesis having controlled condylar curvature

A posterior stabilized 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 of about 0 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 60 degrees to 75 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 less than about 90 degrees, 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 the posterior cam of the femoral component initially contacts the spine of the tibial bearing at a degree of flexion between the second degree of flexion and the third 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:
• rθ=(a+(b*θ)+(c*θ2)+(d*θ3)),
• wherein rθ is the length of the ray defining a contact point at θ degrees of flexion, a, b, c, and d are coefficient values,
• wherein a is a coefficient value between 35 and 45, and b is a coefficient value in a range selected from the group consisting of:
• 0.00<b<0.30 and b=0.015384615,
• 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 0.015384615, (i) c is a coefficient value equal to about −0.00027024 and (ii) d is a coefficient value equal to about −0.0000212,
• wherein the posterior cam of the femoral component includes a concave cam surface and a convex cam surface that are positioned toward a posterior side of the femoral component.

A posterior stabilized 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 of about 0 degrees, (ii) contacts the bearing surface at a second contact point on the condyle surface at a second degree of flexion in the range of 60 degrees to 75 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 75 degrees to 90 degrees, and (iv) contacts the bearing surface at a fourth contact point on the condyle surface at a fourth degree of flexion, the fourth degree of flexion being greater than the third degree of flexion,
• wherein the condyle surface (i) has a first radius of curvature in the sagittal plane at the first contact point, a second radius of curvature at the second contact point that is less than the first radius of curvature, a third radius of curvature at the third contact point, and a fourth radius of curvature at the fourth contact point, (ii) a first curved surface section defined between the first contact point and the second contact point, the first curved surface section having a decreasing, non-constant radius of curvature, (iii) a second curved surface section defined between the second contact point and the third contact point, the second curved surface section having substantially constant radius of curvature equal to the third radius of curvature,
• wherein the posterior cam of the femoral component initially contacts the spine of the tibial bearing at a degree of flexion between the second degree of flexion and the third degree of flexion,
• wherein the ratio of the fourth radius of curvature to the third radius of curvature is in the range of 0.7 to 1.15,
• wherein the second radius of curvature is different from the first radius of curvature, wherein the third radius of curvature is different from the first radius of curvature and the second radius of curvature, and
• wherein the posterior cam of the femoral component includes a concave cam surface and a convex cam surface that are positioned toward a posterior side of the femoral component.