Exploring the extension quantities of a medial collateral ligament pie-crusting model using a finite element method

Medial collateral ligament (MCL) pie-crusting can balance the soft tissue during total knee arthroplasty but requires more studies with the finite element method (FEM). We have developed three models of MCL pie-crusting utilizing FEM, treating the MCL in the following ways: (1) as a singular elastic body with both ends attached to the bone (model A), (2) as 19 bundled elastic bodies, each attached to both ends of the bone (model B), and (3) as 19 bundled elastic bodies with an adhesive component in the gap, attached to both ends of the bone (model C). The pie-crusting model was created by adding a cut around the center of each model. The left side of the model was fixed and forces of 80 and 120 N in the positive direction of the x-axis were applied. Model A was extended by 0.0068 and 0.010 mm for approximately 10 punctures. Model B-2 was extended by 1.34 and 2.01 mm, approximately twice as much as model B-1. Model C was extended by 0.34 and 0.50 mm for every 10 punctures added. These findings clarify that the model composed of aggregates of fibers with adhesive parts (model C) is suitable for MCL pie-crusting analysis.