The evaluation of knee stability is fundamental for the clinical discrimination between healthy and pathological joints, for the design and evaluation of prostheses and for the definition of articular models. Knee stability can be quantified by measuring the relation between applied single-axis constant loads and corresponding tibio-femoral displacements (i.e., translations and rotations), namely the joint stiffness, at a given flexion angle. No many studies are available in the literature on this topic [1–3]. In particular, the translations/rotations along/about directions different from the loaded one were not deeply investigated. A fresh frozen lower-limb specimen (female, 63 years old, weight 68 Kg, height 158 cm) was considered. The forefoot and all soft tissues outside the knee were removed by a surgeon, keeping the knee joint capsule intact. A stereophotogrammetric system (Vicon Motion Systems Ltd.) was used to measure the femoro-tibial relative motion by two trackers fixed to the bones, thus introducing no soft-tissue artifact. The specimen was then mounted on a test rig capable to exert general loading conditions [4], and constant loads were applied to the tibia: ±100 N in antero-posterior (AP) and medio-lateral (ML) direction; ±10 Nm about abb-adduction (AA) and in-external (IE) rotations. Loads were applied approximately at the mid-point between the lateral and medial epicondyles, and were kept constant while the femur was flexed over a 135° range. Displacements were defined with respect to the joint natural motion (RTNM), also registered with the same rig. The relative motion of the bones was expressed by a standard joint coordinate system [5]. Considerable translations/rotations appeared also on different directions than the loaded one. At 90° of flexion, an anterior load of +100 N produced 5.5 mm of anterior translation, 10.9 mm of medial translation and 12° of external rotation of the tibia (RTNM). When not directly loaded in ML and IE directions, the tibia translated medially and rotated externally, independently from the sign of the applied load: at 90° of flexion, an AA torque of +10 Nm and −10 Nm produced respectively 5 mm and 8.9 mm of medial translation, and 5.5° and 7.5° of external rotation of the tibia (RTNM). The load/displacement relation was highly non linear also for the loading direction. At 90° of flexion, IE torques of +10 Nm and −10 Nm produced respectively 3.6° of internal and 14.2° of external rotation of the tibia (RTNM). The knee joint structures make the relation between applied loads and bone displacements highly non linear. As a result, a load acting on one direction produces a complex three-dimensional joint motion. Future work will extend the presented analysis on several specimens, also increasing the magnitude and the number of loading conditions.
