The establishment of the orthodontic wire design system - Modeling by Delaunay lattice formation and optimization method -

在正畸治疗中，为每个患者确定有效的治疗方法是非常重要的。然而，目前多托槽法中正畸矫治器的选择，如正畸弓丝的设计，都是根据操作者的经验来决定的。本研究在对超弹性钛镍合金正畸弓丝进行改进和发展计算分析方法的基础上，通过Delaunay格点形成模型，通过优化算法构建整个系统，并建立计算机仿真系统，以期更高效的正畸治疗成为可能.采用Delaunay网格法建立牙齿和牙周膜模型，并对错牙合畸形患者的牙齿和牙周组织进行建模。此外，还对正畸力作用下牙周组织的应力分布和牙齿位移进行了检测.非线性材料弓丝静力学分析模型的建立对设计的正畸弓丝与实际正畸弓丝进行对比研究.结合牙齿和牙周组织模型以及设计的正畸弓丝模型建立分析模型，分析模型中的牙齿位移和牙齿移动在正畸力作用下的变化。并使牙周组织在正畸力的作用下随着牙齿的移动而发生变化.应用最优化方法对分析模型进行了调整。

In orthodontic treatment, it is very important to decide an effective treatment for each patient. However, at present, decision of orthodontic appliances such as design of orthodontic archwire in the multi-bracket method was made according to the operator's empirical experiences. In this study, based on the improvement of super-elastic Ti-Ni alloy orthodontic archwire and the development of computational analysis method, to make the model by Delaunay lattice formation , to construct the whole system by the optimization algorithm, and to establish the computer simulation system in expectation of a more efficient orthodontic treatment become possible.1. Tooth and PDL models were produced by Delaunay lattice formation .Modeling of teeth and periodontal tissues from patients of malocclusion was created. In addition, stress distribution on the periodontal tissues and tooth displacement when the orthodontic forces were applied was checked.2. Construction of static analytical model of non-linear material wireThe comparative examination between designed orthodontic archwire and actual orthodontic archwire was done.3. Construction of analytical model combining with tooth and periodontal tissue models and designed orthodontic arch wire modelTooth displacement and tooth movement when orthodontic forces were applied were investigated in the analytical model. And the periodontal tissues were made to change with the movement of the teeth under orthodontic force loads.4. Application of the optimization method to adjust the analytical modeExamination of this system with the optimization method was carried out.