Orthodontic Force Modeling of Upper-Shape Loop Combined With Micro-Implant for the Treatment of Molar Arch Adduction

IF 2.1 4区医学 Q3 ENGINEERING, BIOMEDICAL

International Journal for Numerical Methods in Biomedical Engineering Pub Date : 2025-12-18 DOI:10.1002/cnm.70129

Jiawei Zhang, Jingang Jiang, Shuojian Zhai, Liang Yao, Yujian Tan, Yongde Zhang

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引用次数: 0

Abstract

Malocclusion mainly manifested as crowded dentition and lordosis of the roof of the mouth. In order to treat malocclusion, it is necessary to guide and control the position of the teeth. Usually, the first premolars are removed to provide enough space for correction, and the upper-shape loop combined with micro-implant anchorage (USL-MIA) technology is adopted to achieve the purpose of adduction correction of the dental arch of the patient's oral grinding. In the treatment of malocclusion with USL or MIA, physicians rely on experience to approximate the magnitude and direction of the correction force generated by the USL or MIA deformation, and there will be bias. The purpose of this paper is to provide theoretical reference for doctors in the treatment of USL-MIA. The elastic deformation of the USL-MIA is analyzed, and the theoretical corresponding relationship between the USL-MIA deformation and the therapeutic force is calculated by using Castigliano's theorem so as to establish a theoretical model of the therapeutic force of the USL-MIA. In order to verify the accuracy of the theoretical model of correcting force, the theoretical value calculation, finite element simulation analysis, and experimental measurement of the archwire combined with MIA with different materials, section sizes, and section shapes were carried out. The correlation analysis of the obtained values shows that the Pearson correlation coefficient between the theoretical data and the simulation data is $ξ_{A} \geq 89.7 %$ , the Pearson correlation coefficient between the theoretical data and the experimental data is $ξ_{B} \geq 88.9 %$ and Pearson correlation coefficient between the simulation data and the experimental data is $ξ_{C} \geq 87.2 %$ . This model can help doctors to provide theoretical parameter support on the basis of original experience and can provide a faster and more convenient basis for doctors in orthodontic treatment and provide a safer treatment plan for patients.

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上颌牙环联合微种植体治疗磨牙弓内收的正畸力模拟。

错牙合主要表现为牙列拥挤、上颌前凸。为了治疗错牙合，有必要引导和控制牙齿的位置。通常将第一前臼齿拔除，为矫正提供足够的空间，采用上形环结合微种植体支抗（USL-MIA）技术，达到患者口腔磨牙牙弓内收矫正的目的。在治疗USL或MIA错牙合时，医生依靠经验来估计USL或MIA变形所产生的矫正力的大小和方向，会有偏差。本文旨在为医生治疗USL-MIA提供理论参考。分析了USL-MIA的弹性变形，利用Castigliano定理计算了USL-MIA变形与治疗力之间的理论对应关系，建立了USL-MIA治疗力的理论模型。为了验证修正力理论模型的准确性，对不同材料、不同截面尺寸、不同截面形状的弓丝结合MIA进行了理论值计算、有限元仿真分析和实验测量。对所得值进行相关性分析，理论数据与仿真数据的Pearson相关系数ξ A≥89.7 % $$ {\xi}_{\mathrm{A}}\ge 89.7\% $$ , the Pearson correlation coefficient between the theoretical data and the experimental data is ξ B ≥ 88.9 % $$ {\xi}_{\mathrm{B}}\ge 88.9\% $$ and Pearson correlation coefficient between the simulation data and the experimental data is ξ C ≥ 87.2 % $$ {\xi}_C\ge 87.2\% $$ . This model can help doctors to provide theoretical parameter support on the basis of original experience and can provide a faster and more convenient basis for doctors in orthodontic treatment and provide a safer treatment plan for patients.

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来源期刊

International Journal for Numerical Methods in Biomedical Engineering ENGINEERING, BIOMEDICAL-MATHEMATICAL & COMPUTATIONAL BIOLOGY

CiteScore

4.50

自引率

9.50%

发文量

103

审稿时长

3 months

期刊介绍： All differential equation based models for biomedical applications and their novel solutions (using either established numerical methods such as finite difference, finite element and finite volume methods or new numerical methods) are within the scope of this journal. Manuscripts with experimental and analytical themes are also welcome if a component of the paper deals with numerical methods. Special cases that may not involve differential equations such as image processing, meshing and artificial intelligence are within the scope. Any research that is broadly linked to the wellbeing of the human body, either directly or indirectly, is also within the scope of this journal.