상악 치아군의 저항중심의 위치에 관한 3차원 유한요소 해석
Finite-element investigation of the center of resistance of the maxillary dentition
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최근 골내 고정 형태의 temporary anchorage device (TAD)를 많이 이용하게 되면서 다양한 위치로부터 그리고 강한 교정력을 이용할 수 있게 되었다. 이에 따라 치아군의 이동양상을 예측하고 치료계획을 세우기 위하여 다양한 치아군의 저항중심의 위치에 대한 이해가 필요하게 되었다. 본 연구에서는 3차원 유한요소해석을 이용하여 상악 4전치, 6전치 그리고 상악 전치열에서 3차원적 저항중심의 위치를 조사하고자 하였다. 이를 위하여 상악 전치열 14개 치아와 치근막 및 치조골의 3차원 유한요소모델을 제작하였고, 각 치아군별로 치관부를 협측, 설측 호선, 설측 splint wire로 고정하여 개별 치아이동을 최소화하고 적용된 힘이 치아에 고루 분산되도록 하였다. 상악 중절치 절단연의 중점에서 연장된 와이어 빔에 수직, 수평으로 100 g 또는 200 g의 힘을 가하여 치아의 변위를 해석하고, 각 치아군에 속한 치아들이 최대한 평행이동 되는 힘의 적용부위를 저항중심으로 정의하였다. 연구결과 상악 4전치군의 저항중심은 상악 중절치 절단연으로부터 치근방향 13.5 mm, 후방 12.0 mm, 상악 6전치군은 상악 중절치 절단연으로부터 치근방향 13.5 mm, 후방 14.0 mm에 위치하였으며 상악 전치열군의 저항중심은 상악 중절치 절단연으로부터 치근방향 11.0 mm, 후방 26.5 mm에 위치하였다. 본 유한요소 실험모델을 이용하여 얻은 결과는 교정치료의 효율성을 높일 수 있으리라 생각된다.
Abstract
Objective: The aim of this study was to investigate the 3-dimensional position of the center of resistance of the 4 maxillary anterior teeth, 6 maxillary anterior teeth, and the full maxillary dentition using 3-dimensional finite element analysis. Methods: Finite element models included the whole upper dentition, periodontal ligament, and alveolar bone. The crowns of the teeth in each group were fixed with buccal and lingual arch wires and lingual splint wires to minimize individual tooth movement and to evenly disperse the forces to the teeth. A force of 100 g or 200 g was applied to the wire beam extended from the incisal edge of the upper central incisor, and displacement of teeth was evaluated. The center of resistance was defined as the point where the applied force induced parallel movement. Results: The results of study showed that the center of resistance of the 4 maxillary anterior teeth group, the 6 maxillary anterior teeth group, and the full maxillary dentition group were at 13.5 mm apical and 12.0 mm posterior, 13.5 mm apical and 14.0 mm posterior, and 11.0 mm apical and 26.5 mm posterior to the incisal edge of the upper central incisor, respectively. Conclusions: It is thought that the results from this finite element models will improve the efficiency of orthodontic treatment.
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