The korean journal of orthodontics (대한치과교정학회지)

The Korean Association Of Orthodontists (대한치과교정학회)
권호 표지
DOI QR코드

DOI QR Code

Finite-element analysis of the shift in center of resistance of the maxillary dentition in relation to alveolar bone loss

치조골 상실에 따른 상악 치아군 저항중심의 변화에 관한 유한요소해석

  • Sung, Sang-Jin (Department of Orthodontics, University of Ulsan College of Medicine, Asan Medical Center) ;
  • Kim, In-Tai (Graduate School of Clinical Dental Science, The Catholic University of Korea) ;
  • Kook, Yoon-Ah (Division of Orthodontics, Department of Dentistry, College of Medicine, The Catholic University of Korea, Seoul St. Mary's Hospital) ;
  • Chun, Youn-Sic (Division of Orthodontics, Department of Dentistry, School of Medicine, Ewha Womans University) ;
  • Kim, Seong-Hun (Division of Orthodontics, Department of Dentistry, College of Medicine, The Catholic University of Korea, Uijongbu St. Mary's Hospital) ;
  • Mo, Sung-Seo (Division of Orthodontics, Department of Dentistry, College of Medicine, The Catholic University of Korea, St. Mary's Hospital)
  • 성상진 (울산대학교 의과대학 서울아산병원 교정과) ;
  • 김인태 (가톨릭대학교 임상치과학대학원) ;
  • 국윤아 (가톨릭대학교 의과대학 서울성모병원 교정과) ;
  • 전윤식 (이화여자대학교 의과대학 치과학교실 교정과) ;
  • 김성훈 (가톨릭대학교 의과대학 의정부성모병원 교정과) ;
  • 모성서 (가톨릭대학교 의과대학 성모병원 교정과)
  • Received : 2009.07.22
  • Accepted : 2009.08.29
  • Published : 2009.10.30
Download PDF
⟨ Previous Next ⟩

Abstract

Objective: The aim of this study was to investigate the changes in the center of resistance of the maxillary teeth in relation to alveolar bone loss. Methods: A finite element model, which included the upper dentition and periodontal ligament, was designed according to the amount of bone loss (0 mm, 2 mm, 4 mm). The teeth in each group were fixed with buccal and lingual arch wires and splint wires. Retraction and intrusion forces of 200 g for 4 and 6 anterior teeth groups and 400 g for the full dentition group were applied. Results: The centers of resistance were at 13.5 mm, 14.5 mm, 15 mm apical and 12 mm, 12 mm, 12.5 mm posterior in the 4 incisor group; 13.5 mm, 14.5 mm, 15 mm apical and 14 mm, 14 mm, 14.5 mm posterior in the 6 anterior teeth group; and 11 mm, 13 mm, 14.5 mm apical and 26.5 mm, 27 mm, 25.5 mm posterior in the full dentition group respectively according to 0 mm, 2 mm, 4 mm bone loss. Conclusions: The center of resistance shifted apically and posteriorly as alveolar bone loss increased in 4 and 6 anterior teeth groups. However, in the full dentition group, the center of resistance shifted apically and anteriorly in the 4 mm bone loss model.

효과적인 교정치료계획의 수립을 위하여 치열군의 저항중심의 위치에 대한 평가는 필수적이다. 이번 연구의 목적은 상악 치열군(4전치, 6전치, 14치아)에서 치조골 손실에 따른 저항중심의 위치변화를 조사해보고자 하였다. 상악 전치열 14개 치아와 치주인대 및 0 mm, 2 mm, 4 mm 손실된 치조골의 3차원 유한요소 모델을 제작하였고 각 치아군(4전치, 6전치, 14치아)별로 치관부를 협측, 설측호선 및 splint wire로 고정하여 치아군 모델을 제작한 후 상악 중절치의 절단연 중점에서 연장된 splint wire에 4전치와 6전치군에는 200 g, 14치아군에는 400 g의 후방 견인력과 압하력을 적용하여 저항중심의 수직적, 수평적 위치를 분석하였다. 4전치군에서 저항중심의 수직 위치는 치조골 0 mm, 2 mm, 4 mm 손실에 따라 중절치의 절단연에서 치근방향 13.5 mm, 14.5 mm, 15 mm, 수평 위치는 후방 12 mm, 12 mm, 12.5 mm, 6전치군에서는 치근방향 13.5 mm, 14.5 mm, 15.5 mm, 후방 14 mm, 14 mm, 14.5 mm, 14치아군에서는 치근방향 11 mm, 13 mm, 14.5 mm, 후방 26.5 mm, 27 mm, 25.5 mm에 위치하였다. 모든 치아군에서 저항중심은 치조골 손실에 따라 치근첨 방향으로 이동하였으나, 치조정과의 거리는 가까워졌고, 4전치군과 6전치군에서 저항중심은 치조골 손실에 따라 후방으로 이동하였으나, 14치아군에서는 치조골 2 mm 손실 시에는 후방으로 이동하였으나, 4 mm 손실 시에는 전방으로 이동하였다.

Keywords

References

  1. Boyd RL, Leggott PJ, Quinn RS, Eakle WS, Chambers D. Periodontal implications of orthodontic treatment in adults with reduced or normal periodontal tissues versus those of adolescents. Am J Orthod Dentofacial Orthop 1989;96:191-8 https://doi.org/10.1016/0889-5406(89)90455-1
  2. Tanne K, Koenig HA, Burstone CJ. Moment to force ratios and the center of rotation. Am J Orthod Dentofacial Orthop 1988;94:426-31 https://doi.org/10.1016/0889-5406(88)90133-3
  3. Min YG, Hwang CJ. A study about the change of locations of the center of resistance according to the decrease of alveolar bone heights and root lengths during anterior teeth retraction using the laser reflection technique. Korean J Orthod 1999;29:165-81
  4. Smith RJ, Burstone CJ. Mechanics of tooth movement. Am J Orthod 1984;85:294-307 https://doi.org/10.1016/0002-9416(84)90187-8
  5. Pedersen E, Isidor F, Gjessing P, Andersen K. Location of centres of resistance for maxillary anterior teeth measured on human autopsy material. Eur J Orthod 1991;13:452-8 https://doi.org/10.1093/ejo/13.6.452
  6. Tanne K, Nagataki T, Inoue Y, Sakuda M, Burstone CJ. Patterns of initial tooth displacements associated with various root lengths and alveolar bone heights. Am J Orthod Dentofacial Orthop 1991;100:66-71 https://doi.org/10.1016/0889-5406(91)70051-W
  7. Geramy A. Alveolar bone resorption and the center of resistance modification (3-D analysis by means of the finite element method). Am J Orthod Dentofacial Orthop 2000;117:399-405 https://doi.org/10.1016/S0889-5406(00)70159-4
  8. Poppe M, Bourauel C, J$\ddot{a}$ger A. Determination of the elasticity parameters of the human periodontal ligament and the location of the center of resistance of single-rooted teeth a study of autopsy specimens and their conversion into finite element models. J Orofac Orthop 2002;63:358-70 https://doi.org/10.1007/s00056-002-0067-8
  9. Vollmer D, Bourauel C, Maier K, J$\ddot{a}$ger A. Determination of the centre of esistance in an upper human canine and idealized tooth model. Eur J Orthod 1999;21:633-48 https://doi.org/10.1093/ejo/21.6.633
  10. Park GH, Shon BW. The center of resistance of the maxillary anterior segment in the horizontal plane during intrusion by using laser reflection technique. Korean J Orthod 1993;23:619-32
  11. Chung KR, Nelson G, Kim SH, Kook YA. Severe bidentoalveolar protrusion treated with orthodontic microimplant-dependent en-masse retraction. Am J Orthod Dentofacial Orthop 2007;132:105-15 https://doi.org/10.1016/j.ajodo.2005.09.035
  12. Park YC, Lee HA, Choi NC, Kim DH. Open bite correction by intrusion of posterior teeth with miniscrews. Angle Orthod 2008;78:699-710 https://doi.org/10.2319/0003-3219(2008)078[0699:OBCBIO]2.0.CO;2
  13. Sugawara J, Daimaruya T, Umemori M, Nagasaka H, Takahashi I, Kawamura H, et al. Distal movement of mandibular molars in adult patients with the skeletal anchorage system. Am J Orthod Dentofacial Orthop 2004;125:130-8 https://doi.org/10.1016/j.ajodo.2003.02.003
  14. Coolidge ED. The thickness of the human periodontal membrane. J Am Dent Assoc 1937;24:1260-7 https://doi.org/10.14219/jada.archive.1937.0229
  15. Kronfeld R. Histologic study of the influence of function on he human periodontal membrane. J Am Dent Assoc 1931;18:1942
  16. Tanne K, Sakuda M, Burstone CJ. Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces. Am J Orthod Dentofacial Orthop 1987;92:499-505 https://doi.org/10.1016/0889-5406(87)90232-0
  17. Jeong GM, Sung SJ, Lee KJ, Chun YS, Mo SS. Finite-element investigation of the center of resistance of the maxillary dentition. Korean J Orthod 2009;39:83-94 https://doi.org/10.4041/kjod.2009.39.2.83
  18. Chung AJ, Kim US, Lee SH, Kang SS, Choi HI, Jo JH, et al. The pattern of movement and stress distribution during retraction of maxillary incisors using a 3-D finite element method. Korean J Orthod 2007;37:98-113
  19. Ziegler A, Keilig L, Kawarizadeh A, J$\ddot{a}$ger A, Bourauel C.Numerical simulation of the biomechanical behaviour of multi-rooted teeth. Eur J Orthod 2005;27:333-9 https://doi.org/10.1093/ejo/cji020
  20. Andrews LF. Straight wire, the concept and appliance. L.A.: Wells Co.; 1989
  21. Germane N, Bentley BE Jr, Isaacson RJ. Three biologic variables modifying faciolingual tooth angulation by straight-wire appliances. Am J Orthod entofacial Orthop 1989;96:312-9 https://doi.org/10.1016/0889-5406(89)90350-8
  22. Park CK, Yang WS. A three-dimensional finite element analysis on the location of center of resistance during intrusion of upper anterior teeth. Korean J Orthod 1997;27:259-72
  23. Choy K, Kim KH, Burstone CJ. Initial changes of centers of rotation of the anterior segment in response to horizontal forces. Eur J Orthod 2006;28:471-4 https://doi.org/10.1093/ejo/cjl023
  24. Vanden Bulcke MM, Burstone CJ, Sachdeva RC, Dermaut LR. Location of the centers of resistance for anterior teeth during retraction using the laser reflection technique. Am J Orthod Dentofacial Orthop 1987;91:375-84 https://doi.org/10.1016/0889-5406(87)90390-8
  25. Vanden Bulcke MM, Dermaut LR, Sachdeva RC, Burstone CJ. The center of resistance of anterior teeth during intrusion using the laser reflection technique and holographic interferometry. Am J Orthod Dentofacial Orthop 1986;90:211-20 https://doi.org/10.1016/0889-5406(86)90068-5
  26. Billiet T, de Pauw G, Dermaut L. Location of the centre of resistance of the upper dentition and the nasomaxillary complex. An experimental study. Eur J Orthod 2001;23:263-73 https://doi.org/10.1093/ejo/23.3.263
  27. T$\ddot{u}$rk T, Elekdag-T$\ddot{u}$rk S, Din$\c{c}$er M. Clinical evaluation of the centre of resistance of the upper incisors during retraction. Eur J Orthod 2005;27:196-201 https://doi.org/10.1093/ejo/cjh096
  28. Yoshida N, Jost-Brinkmann PG, Koga Y, Mimaki N, Kobayashi K. Experimental evaluation of initial tooth displacement, center of resistance, and center of rotation under the influence of an orthodontic force. Am J Orthod Dentofacial Orthop 2001;120:190-7 https://doi.org/10.1067/mod.2001.115036
  29. Sia S, Shibazaki T, Koga Y, Yoshida N. Experimental determination of optimal force system required for control of anterior tooth movement in sliding mechanics. Am J Orthod Dentofacial Orthop 2009;135:36-41 https://doi.org/10.1016/j.ajodo.2007.01.034
  30. Choy K, Pae EK, Park Y, Kim KH, Burstone CJ. Effect of root and bone morphology on the stress distribution in the periodontal ligament. Am J Orthod Dentofacial Orthop 2000;117:98-105 https://doi.org/10.1016/S0889-5406(00)70254-X
  31. Ha MH, Son WS. Three-dimensional finite element analysis on intrusion of upper anterior teeth by three-piece base arch appliance according to alveolar bone loss. Korean J Orthod 2001;31:209-23
  32. Wakabayashi N, Ona M, Suzuki T, Igarashi Y. Nonlinear finite element analyses: advances and challenges in dental applications. J Dent 2008;36:463-71 https://doi.org/10.1016/j.jdent.2008.03.010
  33. Cho JH, Park YG, Lee KS. A finite element analysis of the center of resistance of a maxillary first molar. Korean J Orthod 1993;23:263-74
  34. Woo JY, Park YC. Experimental study of the vertical location of the centers of resistance for maxillary anterior teeth during retraction using the laser reflection technique. Korean J Orthod 1993;23:375-90
  35. Sung SJ, Jeong SJ, Yu YS, Hwang CJ, Pae EK. Customized three-dimensional computational fluid dynamics simulation of the upper airway of obstructive sleep apnea. Angle Orthod 2006;76:791-9

Cited by

  1. 교정용 미니스크류를 이용한 연속호선과 분절호선의 유한요소분석 vol.41, pp.4, 2009, https://doi.org/10.4041/kjod.2011.41.4.237
  2. Comparison of tooth displacement between buccal mini-implants and palatal plate anchorage for molar distalization: a finite element study vol.36, pp.4, 2014, https://doi.org/10.1093/ejo/cjr130
  3. Determination of the centre of resistance during en masse retraction combined with corticotomy: finite element analysis vol.45, pp.1, 2018, https://doi.org/10.1080/14653125.2017.1405138
  4. Finite Element Analysis of Stress in Maxillary Dentition during En-masse Retraction with Implant Anchorage vol.60, pp.1, 2009, https://doi.org/10.2209/tdcpublication.2017-0055