Korean J Orthod.  2017 Jan;47(1):21-30. 10.4041/kjod.2017.47.1.21.

Finite-element analysis of the center of resistance of the mandibular dentition

Affiliations
  • 1Department of Orthodontics, Graduate School of Clinical Dental Science, The Catholic University of Korea, Seoul, Korea.
  • 2Division of Orthodontics, Department of Dentistry, St. Paul's Hospital, College of Medicine, The Catholic University of Korea, Seoul, Korea. dmoss1@hanmail.net
  • 3Department of Dentistry, Yonsei University, Seoul, Korea.
  • 4Division of Orthodontics, Department of Dentistry, Asan Medical Center, Seoul, Korea.
  • 5Department of Orthodontics, Ewha Womans University Mokdong Hospital, Seoul, Korea.

Abstract


OBJECTIVE
The aim of this study was to investigate the three-dimensional (3D) position of the center of resistance of 4 mandibular anterior teeth, 6 mandibular anterior teeth, and the complete mandibular dentition by using 3D finite-element analysis.
METHODS
Finite-element models included the complete mandibular dentition, periodontal ligament, and alveolar bone. The crowns of 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 onto the teeth. Each group of teeth was subdivided into 0.5-mm intervals horizontally and vertically, and a force of 200 g was applied on each group. The center of resistance was defined as the point where the applied force induced parallel movement.
RESULTS
The center of resistance of the 4 mandibular anterior teeth group was 13.0 mm apical and 6.0 mm posterior, that of the 6 mandibular anterior teeth group was 13.5 mm apical and 8.5 mm posterior, and that of the complete mandibular dentition group was 13.5 mm apical and 25.0 mm posterior to the incisal edge of the mandibular central incisors.
CONCLUSIONS
Finite-element analysis was useful in determining the 3D position of the center of resistance of the 4 mandibular anterior teeth group, 6 mandibular anterior teeth group, and complete mandibular dentition group.

Keyword

Finite-element model; Mandibular dentition; Center of resistance

MeSH Terms

Crowns
Dentition*
Incisor
Periodontal Ligament
Splints
Tooth
Tooth Movement

Figure

  • Figure 1 Three-dimensional finite-element mesh applied to the mandibular teeth, periodontal ligaments (PDLs), and alveolar bones. A and B, Lateral views showing the teeth, PDLs, and alveolar bones. C, Occlusal view showing the teeth.

  • Figure 2 Schematic representation of the coordinate system used in this study.

  • Figure 3 Schematic representation of the finite-element models of the three teeth groups. A, Four mandibular anterior teeth; B, six mandibular anterior teeth; C, the complete mandibular dentition. The blue-colored wires on the buccal and lingual surfaces of the teeth are rigid and have no play with brackets; therefore, the movement of an individual tooth is limited. The black-colored wires cross-linking the left and right teeth are designed to distribute the applied force evenly on the dentition. Vertical force is applied on the red-colored wire.

  • Figure 4 The contour plot of the mandibular dentition. The original model (white mesh) and deformed model (colored mesh), in which the displacement of the teeth has been magnified 300 times, are superimposed. A, B, and C, Retraction forces were applied at 0, −13.5, and −20 mm, respectively, along the Z-axis. D, E, and F, Intrusion forces were applied at −10, −25, and −40 mm, respectively, along the Y-axis.

  • Figure 5 The sum of horizontal displacement (Δy) of the 4 mandibular anterior teeth (A), 6 mandibular anterior teeth (B), and complete mandibular dentition (C) according to variations in the position of force application along the Z-axis.

  • Figure 6 Standard deviation (SD) of vertical displacement (Δz) of the 4 mandibular anterior teeth (A), 6 mandibular anterior teeth (B), and complete mandibular dentition (C) according to variations in the position of force application along the Y-axis.

  • Figure 7 Positions of the centers of resistance. A, The center of resistance of the 4 mandibular anterior teeth; B, the center of resistance of the 6 mandibular anterior teeth; C, the center of resistance of the complete mandibular dentition.


Cited by  2 articles

Biomechanical analysis of distalization of mandibular molars by placing a mini-plate: A finite element study
Myungsoon Park, Yonghyun Na, Minbong Park, Janghoon Ahn
Korean J Orthod. 2017;47(5):289-297.    doi: 10.4041/kjod.2017.47.5.289.

Maxillomandibular arch width differences at estimated centers of resistance: Comparison between normal occlusion and skeletal Class III malocclusion
Yun-Jin Koo, Sung-Hwan Choi, Byeong-Tak Keum, Hyung-Seog Yu, Chung-Ju Hwang, Birte Melsen, Kee-Joon Lee
Korean J Orthod. 2017;47(3):167-175.    doi: 10.4041/kjod.2017.47.3.167.


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