Stress distributions at the Periodontal ligament and displacements of the maxillary first molar under various molar angulation and rotation . Three dimensional finite element study

The purpose of this study was to evaluate the stress distributions at the periodontal ligament (PDL) and displacements of the maxillary first molar when mesially directed force was applied under various molar angulations and rotations. A three dimensional finite element model of the maxiilary first molar and its periodontal ligament was made Upright position, mesially angulated position by $20^{\circ}$ and distally angulated position of the same degree were simulated to investigate the effect of molar angulation. An anteriorly directed force of 200g countertipping moment of 1,800gm-mm (9:1 moment/force ratio) and counterrotation moment of 1,000gm-mm (5:1 moment/force ratio) were applied in each situation. To evaluate the effect of molar rotation on the stress distribution, mesial-in rotation by $20^{\circ}$ and the same amount of distal-in rotation were simulated. The same force and moments were applied in each situation. The results were as follows: In all situations, there was no significant difference in mesially directed tooth displacement Also, any differences in stress distributions could not be found, in other words. there were no different mesial movements. Stress distributions and tooth displacement of the $20^{\circ}$ mesially angulated situation were very similar with those of the $20^{\circ}$ distal-in rotated situation. The same phenomenon was obserned between the $20^{\circ}$ distally angulated situation and $20^{\circ}$ mesial-in rotated situation. When the tooth was mesially angulated, or distal-in rotated, mesially directed force made the tooth rotate in the coronal plane. with its roots moving buccally, and its crown moving lingually. When the tooth was distally angulated, or mesial-in rotated, mesially directed force made the tooth rotate in the coronal plane, with its roots moving lingually and its crown moving buccally. When force is applied to au angulated or rotated molar, the orthodontist should understand that additional torque control is needed to prevent unwanted tooth rotation in the coronal plane.

구치의 경사도와 회전정도가 발치공간 폐쇄시 치근막의 응력분포와 치아의 초기이동에 미치는 영향에 대한 3차원 유한요소법적 연구

본 연구는 상악 제1대구치에 발치공간 폐쇄를 위한 근심력 적용시, 대구치의 근원심 경사도와 회전정도의 변화가 치근막의 응력분포와 치근막 내에서의 초기 치아이동에 어떤 변화를 야기하는지를 살펴보기 위하여 시행되었다. 상악 제1대구치와 치근막의 3차원 유한요소모델을 제작하여 $20^{\circ}$의 근심경사와 원심경사를 설정하고. $20^{\circ}$의 근심회전과 원심회전을 설정하였다 각각의 상황에서 치체이동을 유도하는 근심력을 가하기 위해 협면에 rigid element를 부착하고 200g의 근심력과 9: 1의 countertipping 모멘트 5:1의 counterrotation모멘트를 부여하였다. 각각의 응력분포 및 초기이동 양상을 비교하여 다음과 같은 결론을 얻었다. 상악 제1대구치의 경사도 변화나 회전 변화를 통해 근심력 적응시 구치의 근심이동에 대한 저항의 증가를 얻을 수 없었다. $20^{\circ}$의 근심경사와 $20^{\circ}$의 원심회전이 매우 유사한 응력분포 및 변위를 나타내었다 $20^{\circ}$의 원심경사와 $20^{\circ}$의 근심회전도 마찬가지로 유사성을 보였다. $20^{\circ}$ 근심경사 및 $20^{\circ}$ 원심회전된 경우 치근이 협측 이동하고 치관이 설측 이동하는 관상면 상에서의 회전경향이 발생하였다. $20^{\circ}$ 원심경사 및 $20^{\circ}$ 근심회전된 경우 치근이 설측 이동하고, 치관이 협측 이동하는 관상면 상에서의 회전경향이 발생하였다. 경사되거나 회전된 치아에 근심력을 가해야 할 경우 관상면상에서의 회전을 방지하기 위한 부가적인 토크 조절이 필요하다.