Department of Orthodontics, Centre of Dentistry, Ulm University, Albert-Einstein-Allee 11, 89081, Ulm, Germany.
J Orofac Orthop. 2024 Jan;85(1):69-79. doi: 10.1007/s00056-022-00412-8. Epub 2022 Jul 8.
Superimposition of digital dental-arch models allows quantification of orthodontic tooth movements (OTM). Currently, this procedure requires stable reference surfaces usually only present in the maxilla. This study aimed to investigate the accuracy of a novel superimposition approach based on biomechanical principles of OTM and the equilibrium of forces and moments (EFM)-applicable in both jaws-for monitoring and simulating large OTM.
The study included 7 patients who had undergone extraction of the first (PM1-Ex) or second (PM2-Ex) premolar in each quadrant. Digital models taken at start and end of the T‑Loop treatment phase were superimposed by applying 3 EFM variants differing in the number of teeth used for registration. Maxillary OTM results for EFM were validated against those for a conventional surface registration method (SRM). In an additional case study, OTM were simulated for PM1-Ex, PM2-Ex and non-extraction treatment strategies.
The EFM variant that included all teeth of the dental arch achieved the highest accuracy, with median translational and rotational OTM deviations from SRM of only 0.37 mm and 0.56°, respectively. On average, retracted canines and first premolars were distalized by 3.0 mm, accompanied by 6.2° distal crown tipping and 12.2° distorotation. The share of space closure by molar mesialization was 19.4% for PM1-Ex quadrants and 34.5% for PM2-Ex quadrants.
EFM allows accurate OTM quantification relative to the maxillary and mandibular bases even in challenging situations involving large OTM. Superimposition of malocclusion and setup models enables realistic simulation of final tooth positions. This may greatly enhance the value of digital setups for decision-making in orthodontic treatment planning.
数字牙弓模型的叠加可实现正畸牙齿移动(OTM)的量化。目前,此过程需要通常仅在上颌骨中存在的稳定参考面。本研究旨在调查一种基于 OTM 力学原理和力与力矩平衡(EFM)的新型叠加方法的准确性,该方法适用于上下颌骨,可用于监测和模拟较大的 OTM。
本研究纳入了 7 名患者,他们在每个象限中都接受了第一(PM1-Ex)或第二(PM2-Ex)前磨牙的拔除。在 T 型环治疗阶段开始和结束时拍摄的数字模型,通过应用 3 种不同的 EFM 变体(用于注册的牙齿数量不同)进行叠加。EFM 的上颌骨 OTM 结果与传统表面注册方法(SRM)的结果进行了验证。在一项额外的病例研究中,模拟了 PM1-Ex、PM2-Ex 和非拔牙治疗策略的 OTM。
包含牙弓所有牙齿的 EFM 变体具有最高的准确性,与 SRM 的平移和旋转 OTM 偏差中位数仅为 0.37mm 和 0.56°。平均而言,收回的尖牙和第一前磨牙远移了 3.0mm,伴有 6.2°远中冠倾斜和 12.2°远旋。PM1-Ex 象限的磨牙近中移动占空间关闭的 19.4%,PM2-Ex 象限的磨牙近中移动占 34.5%。
即使在涉及较大 OTM 的具有挑战性的情况下,EFM 也可以实现相对于上颌骨和下颌骨的准确 OTM 量化。错牙合和设置模型的叠加可实现最终牙齿位置的真实模拟。这可能极大地提高了数字设置在正畸治疗计划决策中的价值。