Previous studies on computational modeling of tooth movement in orthodontic treatments are limited to a single model and fail in generalizing the simulation results to other patients. To this end, we consider multiple patients and focus on tooth movement variations under the identical load and boundary conditions both for intra- and inter-patient analyses. We introduce a novel computational analysis tool based on finite element models (FEMs) addressing how to assess initial tooth displacement in the mandibular dentition across different patients for uncontrolled tipping scenarios with different load magnitudes applied to the mandibular dentition. This is done by modeling the movement of each patient's tooth as a nonlinear function of both load and tooth size. As the size of tooth can affect the resulting tooth displacement, a combination of two clinical biomarkers obtained from the tooth anatomy, i.e., crown height and root volume, is considered to make the proposed model generalizable to different patients and teeth.

中文翻译：

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倾斜情景下下颌牙运动变化：对几位患者的有限元研究

以前关于正畸治疗中牙齿运动的计算建模的研究仅限于单个模型，并且无法将模拟结果推广到其他患者。为此，我们考虑了多个患者，并专注于相同负载和边界条件下的牙齿运动变化，以进行患者内和患者间分析。我们介绍了一种基于有限元模型 (FEM) 的新型计算分析工具，该工具解决了如何评估不同患者下颌牙列中的初始牙齿位移，以应对施加于下颌牙列的不同负载量级的不受控制的倾斜情况。这是通过将每个患者牙齿的运动建模为负载和牙齿尺寸的非线性函数来完成的。由于牙齿的大小会影响由此产生的牙齿位移，