Department of Orthodontics, Peking University School and Hospital of Stomatology & National Center for Stomatology & National Clinical Research Center for Oral Diseases & National Engineering Research Center of Oral Biomaterials and Digital Medical Devices & Beijing Key Laboratory of Digital Stomatology & Research Center of Engineering and Technology for Computerized Dentistry Ministry of Health, No.22 Zhongguancun South Avenue, Haidian District, Beijing, 100081, People's Republic of China.
Prog Orthod. 2023 May 15;24(1):16. doi: 10.1186/s40510-023-00468-1.
Long-term simulation of tooth movement is crucial for clear aligner (CA) treatment. This study aimed to investigate the effect of maxillary molar distalization with CA via an automatic staging simulation.
A finite-element method (FEM) model of maxillary dentition, periodontal ligaments, attachments, and corresponding CA was established, and a prescribed 2-mm distalization with 0.1 mm each step of the second molar was simulated. The long-term tooth movement under orthodontic force was simulated with an iterative computation method. The morphologic changes of CA during staging were simulated with the thermal expansion method.
Twenty steps of molar distalization were simulated. Significant distal tilting of the second molar was revealed, along with the proclination of anterior teeth, which caused the 'reversed bow effect'. For the second molar, 4.63°distal tilting at the 20th step was revealed. The intrusion of the incisors and the second molar were 0.43 mm, 0.39 mm, and 0.45 mm, respectively, at step 20. All the anterior teeth showed a proclination of approximately 1.41°-2.01° at the 20th step. The expression rate of the designed distalization of the second molar was relatively low (approximately 68%) compared to the high efficacy of interdental space opening between molars with CA (approximately 89%).
A novel method of simulating long-term molar distalization with CA with FEM was developed. The FEM results suggested distal tilting of the second molar and the proclination of anterior teeth during the molar distalization.
长期模拟牙齿移动对于明确矫正器(CA)治疗至关重要。本研究旨在通过自动分期模拟,研究上颌磨牙远移用 CA 的效果。
建立了上颌牙列、牙周韧带、附着体和相应 CA 的有限元模型,并模拟了第二磨牙每步 0.1mm、共 2mm 的远移。采用迭代计算方法模拟正畸力下牙齿的长期移动。采用热膨胀法模拟 CA 在分期过程中的形态变化。
模拟了 20 步磨牙远移。结果表明,第二磨牙出现明显的远倾,同时前牙出现前倾,导致“反弓效应”。在第 20 步时,第二磨牙的远倾达到 4.63°。切牙和第二磨牙的内收量分别为 0.43mm、0.39mm 和 0.45mm。所有前牙在第 20 步时的前倾约为 1.41°-2.01°。与 CA 打开磨牙之间的牙间隙(约 89%)的高效相比,第二磨牙设计远移的表达率相对较低(约 68%)。
本文开发了一种用 FEM 模拟 CA 长期磨牙远移的新方法。有限元结果表明,在磨牙远移过程中第二磨牙出现远倾,前牙出现前倾。