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Multi-step finite element simulation for clear aligner space closure: a proof-of-concept compensation protocol
Kiyean Kim1, Youn-Kyung Choi2,3, Sung-Hun Kim1
1Department of Orthodontics, Dental Research Institute, School of Dentistry, Pusan National University, Geumoro 20, Mulgeumeup, Yangsan, 50612, South Korea.
Scientific Reports
|July 2, 2025
Summary
A new adaptive finite element method (FEM) improves clear aligner treatment for tooth extraction spaces. This compensation protocol significantly reduces unwanted tooth tipping and enhances movement accuracy for better orthodontic outcomes.
Area of Science:
- Orthodontics
- Biomedical Engineering
- Computational Mechanics
Background:
- Clear aligners are revolutionizing orthodontic treatment but struggle with extraction space closure due to cumulative errors and tipping.
- Existing methods lack precision in simulating sequential aligner movements for complex orthodontic cases.
Purpose of the Study:
- To introduce and evaluate an adaptive iterative finite element method (FEM) for simulating clear aligner treatment in extraction space closure.
- To compare the precision and tipping reduction of a novel compensation protocol against a conventional approach.
Main Methods:
- Development of a multi-step finite element method (FEM) for sequential clear aligner simulation.
- Implementation of an adaptive iterative FEM-based compensation protocol.
- Analysis of movement precision, tipping, and crown-root synchronization.
Main Results:
- The compensation protocol significantly reduced tipping to ≤1°, compared to >6° with the conventional protocol.
- Minimized mismatch between crown and root movements, ensuring more accurate bodily tooth movement.
- Maintained high movement efficiency and controlled vertical displacement, reducing extrusion.
Conclusions:
- The adaptive FEM compensation protocol enhances predictability and accuracy in clear aligner orthodontic treatment for extraction cases.
- This method allows systematic aligner design adjustments based on actual tooth movement, optimizing biomechanics.
- Potential for improved clinical outcomes in orthodontics through more precise clear aligner therapy.

