A model of knee motion in the sagittal plane

A two dimensional mathematical model of knee motion in the sagittal plane was developed. The cruciate ligaments were modeled as a crossed four bar linkage. The mathematical model uses a series of vector loops and scalar equations to solve for all linkage parameters. The model requires 11 equations to solve for 11 unknowns. The equations were driven with a linkage angle that is directly related to the flexion angle. The model was used to examine the effect of various geometric parameters on the roll and slip between the articulating surfaces of the medial condyle. A geometric computer model was developed to verify the results.<
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