Version 1
: Received: 8 June 2024 / Approved: 11 June 2024 / Online: 11 June 2024 (12:03:50 CEST)
How to cite:
Qatu, M.; Al-Jamal, M.; Mouzaihem, H. Rigorous Mathematical Derivation of Inclination Angle for Single Cut Rotational Osteotomy for Tibia Deformity Correction. Preprints2024, 2024060698. https://doi.org/10.20944/preprints202406.0698.v1
Qatu, M.; Al-Jamal, M.; Mouzaihem, H. Rigorous Mathematical Derivation of Inclination Angle for Single Cut Rotational Osteotomy for Tibia Deformity Correction. Preprints 2024, 2024060698. https://doi.org/10.20944/preprints202406.0698.v1
Qatu, M.; Al-Jamal, M.; Mouzaihem, H. Rigorous Mathematical Derivation of Inclination Angle for Single Cut Rotational Osteotomy for Tibia Deformity Correction. Preprints2024, 2024060698. https://doi.org/10.20944/preprints202406.0698.v1
APA Style
Qatu, M., Al-Jamal, M., & Mouzaihem, H. (2024). Rigorous Mathematical Derivation of Inclination Angle for Single Cut Rotational Osteotomy for Tibia Deformity Correction. Preprints. https://doi.org/10.20944/preprints202406.0698.v1
Chicago/Turabian Style
Qatu, M., Malik Al-Jamal and Hassan Mouzaihem. 2024 "Rigorous Mathematical Derivation of Inclination Angle for Single Cut Rotational Osteotomy for Tibia Deformity Correction" Preprints. https://doi.org/10.20944/preprints202406.0698.v1
Abstract
Background: To rigorously derive easy to use formulae for the inclination angle for single cut rotation osteotomy that can be used for tibia deformity correction.
Method: Three theorems were proven using trigonometric identities and concepts of linear algebra. These were rigorously shown. The three concepts were how to convert deformities in an AP/Lateral plane to an oblique plane deformity with a true angular magnitude of deformity; how to project an angular quantity from one plane to another; and the calculation of the inclination angle for the oblique osteotomy plane. All figures in this article were created by the authors of this paper.
Results: From the formula derived, a statistical t-test was performed that showed no significant difference between the formula derived in this paper and the original Sangeorzan paper charts (p=0.0079).
Conclusions: The formulae described in this article are a method to accurately calculate the inclination angle of the osteotomy for a single cut rotational osteotomy for tibial deformity correction.
Clinical Relevance: The article gives a deeper understanding of fundamental concepts behind deformity correction and provides an easy-to-use mathematical formula to calculate the osteotomy inclination for single cut rotational osteotomies.
Medicine and Pharmacology, Orthopedics and Sports Medicine
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
