Minimizing the translation error in the application of an oblique single-cut rotation osteotomy: Where to cut?

An oblique single cut rotation osteotomy enables correcting angular bone alignment in the coronal, sagittal and transverse planes, with just a single oblique osteotomy, and by rotating one bone segment in the osteotomy plane. However, translational malalignment is likely to exist if the bone is curved or deformed and the location of the oblique osteotomy is not obvious. In this paper we investigate how translational malalignment depends on the osteotomy location. We further propose and evaluate by simulation in 3-D, a method that minimizes translational malalignment by varying the osteotomy location and by sliding the distal bone segment with respect to the proximal bone segment within the oblique osteotomy plane. The method is finally compared to what three surgeons achieve by manually selecting the osteotomy location in 3-D virtual space without planning in-plane translations. The minimization method optimized for length better than the surgeons did, by 3.2 mm on average, range [0.1, 9.4] mm, in 82% of the cases. A better translation in the axial plane was achieved by 4.1 mm on average, range [0.3, 14.4] mm, in 77% of the cases. The proposed method generally performs better than subjectively choosing an osteotomy position along the bone axis. The proposed method is considered a valuable tool for future alignment planning of an oblique single-cut rotation osteotomy since it helps minimizing translational malalignment