Computer-aided analysis of the biomechanics of tooth movements;Computergestützte analyse der biomechanik von zahnbewegungen

International Journal of Computerized Dentistry

Volumn 10, Issue 1, 2007, Pages 25-40

  Bourauel, Christoph ^a,b   Keilig, L ^a,b   Rahimi, A ^a,b   Reimann, S ^a,b   Ziegler, A ^a,b   Jager A ^a,b  

^a UNIVERSITY OF BONN   (Germany)

^b UNIVERSITY HOSPITAL BONN   (Germany)

Author keywords

Biomechanics; Bone remodelling theories; Center of resistance; Finite element methods; Geometry reconstruction; Laser scanning; Orthodontics; Surface matching

Indexed keywords

BIOMECHANICS; COMPUTER ASSISTED THERAPY; COMPUTER SIMULATION; DENTAL CARE; FINITE ELEMENT ANALYSIS; HUMAN; METHODOLOGY; PERIODONTAL DISEASE; PERIODONTAL LIGAMENT; PHYSIOLOGY; REVIEW;

BIOMECHANICS; COMPUTER SIMULATION; DENTAL STRESS ANALYSIS; FINITE ELEMENT ANALYSIS; HUMANS; PERIODONTAL LIGAMENT; THERAPY, COMPUTER-ASSISTED; TOOTH MOVEMENT;

EID: 33947622550     PISSN: 14634201     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Review

References (40)

1. Burstone CJ. Biophysik in der klinischen Kieferorthopädie. In: Graber TM, Swain BF (eds.): Grundlagen und moderne Techniken der Kieferorthopädie. Chicago: Quintessenz, 1989:271-316
2. Benedikt M. Biomechanische Grundfragen. Allg Wiener Med Zeitung 1911;LVI:25-26
3. Burstone CJ. The biomechanics of tooth movement. In: Kraus BS, Riedel RA (eds.). Vistas in orthodontics. Philadelphia: Lea & Fiebiger, 1962:197-213
4. Burstone CJ. The mechanics of the segmented arch techniques. Am J Orthod 1966;36:99-120
5. Burstone CJ, Pryputniewicz RJ. Holographic determination of centers of rotation produced by orthodontic forces. Am J Orthod 1980;77:396-409
6. Nikolai RJ, Schweiker JW. Investigation of root-periodontium interface stresses and displacements for orthodontic application. Exper Mech 1972;12:406-413
7. Nikolai RJ. Periodontal ligament reaction and displacement of maxillary central incisor subjected to transverse crown loading. J Biomech 1974;7:93-99
8. Burstone CJ, Koenig HA. Force systems from an ideal arch. Am J Orthod 1974;65:270-289
9. Burstone CJ, Koenig HA. Optimizing anterior and canine retraction. Am J Orthod 1976;70:1-20
10. Koenig HA, Burstone CJ. Analysis of generalized curved beams for orthodontic application. J Biomech 1974;7:429-435
11. Christiansen R, Burstone CJ. Centers of rotation within the periodontal space. Am J Orthod 1969;55:353-369
12. Hurd JJ, Nikolai RJ. Centers of rotation for combined vertical and transverse tooth movements. Am J Orthod 1976;70:551-558
13. Nikolai RJ. On optimum orthodontic force theory as applied to canine retraction. Am J Orthod 1975;68:290-302
14. Nikolai RJ. Analytical mechanics and analysis of orthodontic tooth movements. Am J Orthod 1982;82:164-166
15. Rahimi A, Keilig L, Bendels G, Klein R, Buzug TM, Abdelgader I, Abboud M, Bourauel C. 3D Reconstruction of dental specimens from 2D histological images and μCT-scans. Comp Meth Biomech Biomed Eng 2005;8:167-176
16. Dijkstra EW. A note on two problems in connexion with graphs. Numerische Mathematik 1959;1:269-270
17. Sandy JR, Farndale RW, Meikle MC. Recent advances in understanding mechanically induced bone remodeling and their relevance to orthodontic theory and practice. Am J Orthod Dentofac Orthop 1993;103:212-222
18. Hinterkausen M, Bourauel C, Siebers G, Haase A, Drescher D, Nellen B. In vitro analysis of the initial tooth mobility in a novel optomechanical set-up. Med Eng Phys 1998;20:40-49
19. Krstin N, Dorow Ch, Franke RP, Sander FG. Experiments to determine the time dependent material properties of the periodontal ligament. Biomed Tech 2002;47:202-208
20. Toms SR, Dakin GJ, Lemons JE, Eberhardt AW. Quasi-linear viscoelastic behavior of the human periodontal ligament. J Biomech 2002;35:1411-1415
21. Toms SR, Eberhardt AW. A nonlinear finite element analysis of the periodontal ligament under orthodontic tooth loading. Am J Orthod Dentofacial Orthop 2003;123:657-665
22. Vollmer D, Haase A, Bourauel C. Halbautomatische Generierung von Finite-Element-Netzen für zahnmedizinische Präparate. Biomed Tech 2000;45:62-69
23. Keilig L, Bourauel C, Grüner M, Bayer S, Hültenschmidt R, Utz KH, Stark H. Aufbau und Erprobung eines neuartigen Messsystems für die dentale Biomechanik - Messprinzip und Beispielmessungen des Hexapod-Mess- Systems. Biomed Tech 2004;49:208-215
24. Ziegler A. Numerische Simulation des biomechanischen Verhaltens mehrwurzeliger Zähne. Med. Diss., Universität Bonn, 2003
25. Ziegler A, Keilig L, Kawarizadeh A, Jäger A, Bourauel C. Numerical simulation of the biomechanical behavior of multirooted teeth. Eur J Orthod 2005;25:333-339
26. Poppe M, Bourauel C, Jäger 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;63:358-370
27. Dermaut LR, Kleutghen JP, De Clerck HJ. Experimental determination of the center of resistance of the upper first molar in a macerated, dry human skull submitted to horizontal headgear traction. Am J Orthod Dentofacial Orthop 1986;90:29-36
28. Nägerl H, Burstone CJ, Becker B, Kubein-Meesenburg D. Centers of rotation with transverse forces. An experimental study. Am J Orthod Dentofacial Orthop 1991;99:337-345
29. Provatidis CG. A comparative FEM-study of tooth mobility using isotropic and anisotropic models of the periodontal ligament. Comp Meth Biomech Biomed Eng 2000;22:149-156
30. Bourauel C, Freudenreich D, Vollmer D, Kobe D, Drescher D, Jäger A. Simulation kieferorthopädischer Zahnbewegungen - Ein Vergleich numerischer Modelle. Fortschr Kieferorthop 1999;60:136-51
31. Bourauel C, Vollmer D, Jäger A. Anwendung von Bone Remodeling Theorien zur Simulation orthodontischer Zahnbewegungen. Fortschr Kieferorthop 2000;61:266-79
32. Schneider J, Geiger M, Sander FG. Numerical experiments on long-time orthodontic tooth movement. Am J Orthod Dentofacial Orthop 2002121:257-265
33. Cowin SC, Hegedus DH. Bone remodeling I. theory of adaptive elasticity. J Elast 1976;6:313-26
34. Cowin SC. Continuum models for the adaption of bone to stress. In. Cowin SC (eds.). Mechanical properties of bone. New York: Am Soc Mech Eng, 1981:193-210
35. Cowin SC. Wolff's law of trabecular architecture at remodeling equilibrium. J Biomech Eng 1986;108:83-88
36. Huiskes R. On the modelling of long bones in structural analysis. J Biomech 1982;15:65-69
37. Huiskes R, Weinans H, Groetenboer HJ, Dalstra M, Fudala B, Slooff TJ. Adaptive bone-remodeling theory applied to prosthetic-design analysis. J Biomech 1987;20:1135-1150
38. Wolff J. Das Gesetz der Transformation der Knochen. Hirschwald, Berlin 1892
39. Keilig L, Piesche K, Jäger A, Bourauel C. Application of surface-surface matching algorithms for determination of orthodontic tooth movement. Comp Meth Biomech Biomed Eng 2003;6:353-359
40. Lavallee S, Szeliski R, Brunie L.Matching 3-D Smooth Surfaces with their 2-D Projections using 3-D distance maps. Proc Soc Photo Optical Inst Eng 1991;1570:322-336