垂直关闭曲联合微种植体矫正前牙内收矫治力建模  

Orthodontic force modeling of vertical closing loop combined with micro-implant for the treatment of anterior teeth adduction

作　　者：姜金刚[1,2] 谭余健 李长鹏 翟硕建 张永德[1,2] Jiang Jingang;Tan Yujian;Li Changpeng;Zhai Shuojian;Zhang Yongde(Key Laboratory of Advanced Manufacturing and Intelligent Technology,Ministry of Education,Harbin University of Science and Technology,Harbin 150080,China;Robotics&its Engineering Research Center,Harbin University of Science and Technology,Harbin 150080,China)

机构地区：[1]哈尔滨理工大学先进制造智能化技术教育部重点实验室,哈尔滨150080 [2]哈尔滨理工大学机器人技术及工程应用研究中心,哈尔滨150080

出　　处：《仪器仪表学报》2024年第9期331-340,共10页Chinese Journal of Scientific Instrument

基　　金：黑龙江省自然科学基金(LH2021E081);中国博士后科学基金(2018T110313)项目资助。

摘　　要：牙列拥挤是错颌畸形中最常见的类型。在正畸治疗中,为了缓解患者的牙齿拥挤状况,通常会采用拔除第一前磨牙,进行整体前牙内收的治疗方案。在前牙内收的过程中通常采用垂直关闭曲联合微种植体支抗实现关闭牙齿间隙的效果。然而在治疗过程中,医生多采用定性非量化的方式来描述受力和运动,导致治疗效果难以精确预测。针对这一问题,采用叠加定理得到以弓丝截面尺寸、形状和微种植体牵引高度为参数的垂直关闭曲联合微种植体支抗矫治力、矫治力矩预测模型。并通过有限元分析对各工况理论值和仿真值进行对比和误差值计算,得到了矫治力仿真值与理论值的误差值在0.09 N以内,矫治力矩仿真值与理论值的误差值在0.75 N·mm以内,基于下颌蜡质牙模完成对矫治力、矫治力矩的测量,得到了低位牵引时矫治力理论数据与实验数据的误差值处于0.03~0.18 N之间,矫治力矩误差值处于0.51~1.1 N·mm之间,高位牵引时,矫治力误差值处于0.03~0.17 N之间,矫治力矩误差值处于0.23~1.30 N·mm之间,验证了理论模型的准确性和仿真条件的可靠性。该模型能够对矫治过程中的力进行参数化表达,从而为个性化治疗方案的制定提供依据,并提升治疗效果和安全性。Dental crowding is the most prevalent type of malocclusion.To alleviate the condition of tooth crowding in orthodontic treatment,the typical approach involves the extraction of the first premolars and subsequent comprehensive retraction of the anterior teeth.During the retraction process,a combination of vertical closing loops and micro-implant anchorage is often used to close the gaps between the teeth.However,in the course of treatment,physicians often rely on qualitative non-quantitative methods to describe forces and movements,which makes it challenging to accurately predict the treatment outcomes.To address this problem,the superposition theorem was used to obtain a model for predicting the orthodontic force and torque of vertical closing loop combined with micro-implant anchorage,which was parameterized by the cross-section size and shape of the archwire and the height of micro-implant traction.The theoretical and simulated values for each operational condition were compared,and the error was determined through finite element analysis.The error between the simulated and theoretical values for corrective force was within 0.09 N,while for corrective torque,it was within 0.75 N·mm.Further measurements of orthodontic force and moment on mandibular wax models revealed that,with low traction,the error between theoretical and experimental values for orthodontic force ranged from 0.03~0.18 N,and for orthodontic moment from 0.51~1.1 N·mm.With high traction,the force error ranged from 0.03~0.17 N,and the moment error from 0.23~1.30 N·mm.This serves to validate the accuracy of the theoretical model and the reliability of the simulation conditions.The model can parametrically represent the force in the correction process,thus providing a foundation for personalized treatment planning and enhancing treatment efficacy and safety.

关 键 词：前牙内收 垂直关闭曲 矫治力模型 有限元仿真 矫治力测量 

分 类 号：TP242[自动化与计算机技术—检测技术与自动化装置] TH789[自动化与计算机技术—控制科学与工程]