Development of a three-dimensional finite element model of a human mandible containing endosseous dental implants. I. Mathematical validation and experimental verification

Journal of Biomedical Materials Research - Part A

Volumn 80, Issue 1, 2007, Pages 234-246

  Al Sukhun, Jehad ^a   Kelleway, John ^b   Helenius, Miia ^a  

^a HELSINKI UNIVERSITY CENTRAL HOSPITAL   (Finland)

^b Eastman Institute of Oral Health Sciences   (United Kingdom)

Author keywords

Finite element mode; Implant; Mandible; Medial convergence

Indexed keywords

COMPUTER SOFTWARE; DEFORMATION; FINITE ELEMENT METHOD; STRAIN GAGES;

FINITE ELEMENT MODE; MANDIBLE; MANDIBULAR FUNCTIONAL DEFORMATION; MEDIAL CONVERGENCE;

DENTAL PROSTHESES;

ACCURACY; ANALOG COMPUTER; ARTICLE; COMPUTER PROGRAM; DATA ANALYSIS; FINITE ELEMENT ANALYSIS; HUMAN; INFORMATION PROCESSING; MANDIBLE; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; MEASUREMENT; MICROCOMPUTER; PREDICTION; SURFACE PROPERTY; TECHNIQUE; THREE DIMENSIONAL IMAGING; TOOTH IMPLANTATION; VALIDATION PROCESS;

COMPUTER SIMULATION; DENTAL IMPLANTATION, ENDOSSEOUS; FINITE ELEMENT ANALYSIS; HUMANS; MANDIBLE; MODELS, BIOLOGICAL; MOLAR; PREDICTIVE VALUE OF TESTS; SOFTWARE; STRESS, MECHANICAL;

EID: 33845506823     PISSN: 00219304     EISSN: 15524965     Source Type: Journal    
DOI: 10.1002/jbm.a.30894     Document Type: Article

References (40)

1. Hylander WL. Stress and strain in the mandibular symphysis of primates: A test of competing hypotheses. Am J Phys Anthropol 1984;64:1-46.
2. Hylander WL. The human mandible: Lever or link? Am J Phys Anthropol 1975;43:227-242.
3. Hylander WL. Incisal bite force direction in humans and the functional significance of mammalian mandibular translation. Am J Phys Anthropol 1978;48:1-8.
4. Hylander WL. Mandibular function in Galago crassicaudatus and Macaca fascicularis: An in-vivo approach to stress analysis of the mandible. J Morphol 1979a;159:253-296.
5. Hylander WL. The functional significance of primate mandibular form. J Morphol 1979b;160:223-240.
6. Hylander WL, Ravosa MJ, Ross CF, Johnson KR. Mandibular corpus strain in primates: Further evidence for a functional link between symphyseal fusion and jaw-adductor muscle force. Am J Phys Anthropol 1998;107:257-271.
7. Ralph JP, Caputo AA. Analysis of stress patterns in the human mandible. J Dent Res 1975;54:814-821.
8. Mongini F, Calderale PM, Barberi G. Relationship between structure and the stress pattern in the human mandible. J Dent Res 1979;58:2334-2337.
9. Standlee JP, Caputo AA, Ralph JP. The condyle as a stress-distributing component of the temporomandibular joint. J Oral Rehabil 1981;8:391-400.
10. Gysi A. Studies on the leverage problem of the mandible. Dent Dig 1921;27:74-84.
11. Robinson M. The temporomandibular joint: Theory of reflex controlled non-lever action of the mandible. J Am Dent Assoc 1946;33:1260-1271.
12. Gupta KK, Knoell AC, Grenoble DE. Mathematical modelling and structural anlaysis of the mandible. Biomater Med Devices Artif Organs 1973;1:469-479.
13. Knoell AC. A mathematical model of an in-vitro human mandible. J Biomech 1977;10:159-166.
14. Ferré JC, Legoux R, Helary JL, Albugues F, Le Floc'h C, Bouteyre J, Lumineau JP, Chevalier C, LeCloarec AY, Orio E, Marquet F, Barbin JY. Study of the deformations of the isolated mandible under static constraints by simulation on a physiocomathematical model. Anat Clin 1985;7:183-192.
15. Andersen KL, Mortensen HT, Pedersen EH, Melsen B. Determination of stress levels and profiles in the periodontal ligament by means of an improved three-dimensional finite element model for various types of orthodontic and natural force systems. J Biomed Eng 1999;13:293-303.
16. Hart RT, Hennebel VV, Thongpreda N, Van Buskirk WC, Anderson RC. Modelling the biomechanics of the mandible: A three-dimensional finite element study. J Biomech 1992;25:261-286.
17. Tanne K, Lu Y, Tanaka E, Sakuda M. Biomechanical changes of the mandible from orthopaedic chin cup force studied in a three-dimensional finite element model. Eur J Orthod 1993;15:527-533.
18. McLoughlin SW, Bidez MW. A three-dimensional finite element model of a fully dentate human mandible. Bioeng Conf 1993;24:104-106.
19. van Zyl PP, Grundling NL, Jooste CH, Eugéne T. Three-dimensional finite element model of a human mandible incorporating six osseointegrated implants for stress analysis of mandibular cantilever prosthesis. Int J Oral Maxillofac Surg 1995;10:51-57.
20. Korioth TP, Versulis A. Modelling of the biomechanical behaviour of the jaws and their related structures by finite element analysis. Crit Rev Oral Biol Med 1997;8:90-104.
21. Papavasiliou G, Kamposiora P, Bayne S, Felton D. Three-dimensional finite element analysis of stress distribution around single tooth implants as a function of bony support, prosthesis type, and loading during function. J Prosthet Dent 1997;76:633-640.
22. Tiexeira ER, Sato Y, Akagawa Y, Shindoi N. A comparative evaluation of mandibular finite element models with different lengths and elements for implant biomechanics. J Oral Rehabil 1998;25:299-303.
23. Vollmer D, Meyer U, Joos U, Vegh A, Piffko J. Experimental and finite element study of a human mandible. J Craniomaxillofac Surg 2000;28:91-96.
24. Torreira MG, Fernandez JR. A three-dimensional computer model of the human mandible in two simulated standard trauma situations. J Craniomaxillofac Surg 2004;5:303-307.
25. Al-Sukhun J. Modelling of Mandibular Functional Deformation. London:University of London; 2003.
26. Kofod T, Cattaneo PM, Dalstra M, Melsen B. Three-dimensional finite element analysis of the mandible and temporomandibular joint during vertical ramus elongation by distraction osteogenesis. J Craniofac Surg 2005;4:586-593.
27. Huiskes R, Hollister SJ. From structure to process, form to organ: Recent developments of FE analysis in orthopaedic biomechanics. J Biomed Eng 1993;115:520-527.
28. Al-Sukhun J, Lindqvist C, Kontio R. Modelling of orbital deformation using finite element analysis method. JRS Interface 2006;7:255-262.
29. Al-Sukhun J, Lindqvist C, Kontio R. Orbital Stress Analysis, Part 2: Variables affecting the predictive behaviour of a finite element model of a human orbit. J Oral Maxillofac Surg. Forthcoming.
30. Gere JM, Timoshenko SP. Mechanics of materials. 3rd Ed. Chapman & Hall: UK; 1991.
31. Abdel-Latif H. Functional Mandibular Deformation in Edentulous Subjects Treated with Dental Implants. PhD Thesis, University of London: UK; 1996.
32. Carter DR, Hayes WC. The compressive behaviour of bone as a two-phase porous structure. J Bone Joint Surg 1977;59:954-962.
33. Pruim GJ, De Jongh HJ, Ten Bosch JJ. Forces acting on the mandible during bilateral static bite at different bite force levels. J Biomech 1980;13:755-763.
34. Bland JM, Altman DG. Statistical method for assessing agreement between two methods of clinical measurement. Lancet 1986;1:307-310.
35. Jacobsen A. The craniofacial skeletal pattern. Am J Orthod 1978;73:681-691.
36. Beecher RM. Functional significance of the mandibular symphysis. Am J Phys Anthropol 1979;159:117-130.
37. Gates GN, Nicholls JI. Evaluation of mandibular arch width change. J Prosthet Dent 1981;46:385-392.
38. Grant AA. Some aspects of mandibular movement: Acceleration and horizontal distortion. Ann Acad Med (Singapore) 1986;15:305-310.
39. Hobkirk JA, Schwab J. Mandibular deformation in subjects with osseointegrated implants. Int J Oral Maxillofac Implants 1991;6:319-328.
40. Horiuchi M, Ichikawa T, Noda M, Matsumoto N. Use of inter-implant displacement to measure mandibular distortion during jaw movements in humans. Arch Oral Biol 1997;42:185-188.