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Individualizing ANB angle based on Arab and German orthodontic cephalometric analysis: a cross-sectional multi-center
Kareem Midlej1, Sebastian Krohn2, Eva Paddenberg2
1Department of Clinical Microbiology and Immunology, Gray Faculty of Medicine and Health Sciences, Tel Aviv University, 6997801, Tel Aviv, Israel.
Scientific Reports
|July 15, 2026
Summary
This study developed a new, more accurate equation for individualized ANB (ANBindv.) angle classification in skeletal malocclusion patients by using machine learning on a larger, multi-ethnic dataset. The new equation significantly improves prediction accuracy compared to the traditional method.
Area of Science:
- Orthodontics
- Cephalometric Analysis
- Machine Learning in Healthcare
Background:
- The individualized ANB (ANBindv.) is a standard method for classifying skeletal malocclusion.
- The traditional ANBindv. equation, established in 1977, has limitations due to a small sample size and single-ethnic group basis.
- Enhancing the accuracy of ANBindv. prediction is crucial for precise orthodontic diagnosis.
Purpose of the Study:
- To develop a novel, more accurate equation for predicting the individualized ANB (ANBindv.) angle.
- To improve upon the traditional Panagiotidis and Witt equation using a larger, multi-ethnic sample.
- To leverage machine learning regression models for enhanced cephalometric analysis.
Main Methods:
- Collected lateral cephalogram images from 300 Arab and 623 German patients with skeletal class I occlusion.
- Applied machine-learning regression models to predict ANBindv. using angles like SNA, ML-NSL, and SN-Pg.
- Validated the new equations through sensitivity analysis of Calculated_ANB (ANB-ANBindv.).
Main Results:
- Individual ethnic group formulas showed varying correlation coefficients (R2 Arab=0.59, R2 German=0.73) compared to the traditional method (r=0.80).
- Inclusion of the SN-Pg angle significantly improved prediction accuracy (R2 Arab=0.78, R2 German=0.88).
- The combined multi-ethnic equation achieved a sensitivity of 89.85% for Calculated_ANB, outperforming individual ethnic equations.
Conclusions:
- A larger, multi-ethnic sample size significantly enhances the predictive capability for the ANB angle.
- The newly developed equation, incorporating SNA, ML-NSL, and SN-Pg angles, offers superior accuracy for individualized ANB classification.
- This research provides a more robust tool for diagnosing skeletal malocclusion across diverse populations.
