Location of the Centre of Resistance for the Nasomaxillary Complex Studied in a Three-Dimensional Finite Element Model

References

• Barton, J. J. (1972) High-pull headgear versus cervical traction: a cephalometric comparison, American Journal of Orthodontics, 62, 17–29.
   Google Scholar
• Bench, R. W., Gugino, C. F. and Hilgers, J. J. (1978) Bioprogressive therapy, Journal of Clinical Orthodontics, 12, 48–69.
   PubMedGoogle Scholar
• Burstone, C. J. (1985) Application of bioengineering to clinical orthodontics, In: Orthodontics, Current Principles and Techniques. Graber, T. M. and Swain, B. F. (eds). The C.V. Mosby Company, St. Louis, 193–228.
   Google Scholar
• Burstone, C. J. and Pryputniewicz, R. J. (1980) Holographic determination of centers of rotation produced by orthodontic forces, American Journal of Orthodontics, 77, 396–409.
   PubMedGoogle Scholar
• Caputo, A. A., Chaconas, S. J. and Hayashi, R. K. (1974) Photoelastic visualization of orthodontic forces during canine retraction, American Journal of Orthodontics, 65, 250–259.
   PubMedGoogle Scholar
• Carter, D. R. and Hayes, W. C. (1977) The compressive behavior of bone as a two-phase porous structure, Journal of Bone and Joint Surgery, 55A, 954–962.
   Google Scholar
• Droschl, H. (1975) The effect of heavy orthopedic forces on the sutures of the facial bones, Angle Orthodontist, 45, 26–33.
   PubMed Web of Science ®Google Scholar
• Hata, S., Itoh, T., Nakagawa, K., Ichikawa, K., Matsumoto, M. and Chaconas, S. J. (1987) Biomechanical effects of maxillary protraction on the craniofacial complex, American Journal of Orthodontics and Dentofacial Orthopedics, 91, 305–311.
   PubMed Web of Science ®Google Scholar
• Itoh, T., Chaconas, S. J., Caputo, A. A. and Matyas, J. (1985) Photoelastic effects of maxillary protraction on the craniofacial complex, American Journal of Orthodontics, 88, 117–124.
   PubMedGoogle Scholar
• Jackson, G. W., Kokich, V. G. and Shapiro, P. A. (1979) Experimental response to anteriorly directed extraoral force in young Macaca nemestrina, American Journal of Orthodontics, 75, 319–333.
   Google Scholar
• Kambara, T. (1977) Dentofacial changes produced by extraoral forward force in the Macaca irus, American Journal of Orthodontics, 71, 249–277.
   PubMedGoogle Scholar
• Kragt, G., Duterloo, H. S. and Algra, A. M. (1986) Initial displacements and Variations of eight human child skulls owing to high-pull headgear traction determined with laser holography, American Journal of Orthodontics, 89, 399–406.
   PubMedGoogle Scholar
• Kusy, R. P. and Tulloch, J. F. C. (1986) Analysis of moment/force ratios in the mechanics of tooth movement, American Journal of Orthodontics and Dentofacial Orthopedics, 90, 127–131.
   PubMed Web of Science ®Google Scholar
• Lagerstrom, K. O., Nielsen, I. L., Lee, R. and Isaacson, R. J. (1990) Dental and skeletal contributions to occlusal correction in patients treated with the high-pull headgear-activator combination, American Journal of Orthodontics and Dentofacial Orthopedics, 97, 495–504.
   PubMed Web of Science ®Google Scholar
• McGuinness, N. J. P., Wilson, A. N., Jones, M. L. and Middleton, J. (1991) A stress analysis of the periodontal ligament under various orthodontic loadings, European Journal of Orthodontics, 13, 231–241.
   PubMed Web of Science ®Google Scholar
• Meldrum, R. J. (1975) Alterations in the upper facial growth of Macaca mulatta resulting from high-pull headgear, American Journal of Orthodontics, 67, 393–411.
   PubMedGoogle Scholar
• Miyasaka-Hiraga, J., Tanne, K. and Nakamura, S. (1994) Finite element analysis for stresses in the craniofacial sutures produced by maxillary protraction forces applied at the upper canines, British Journal of Orthodontics (in press).
   Google Scholar
• Nikolai, R. J. (1975) An optimum orthodontic force theory as applied to canine retraction, American Journal of Orthodontics, 68, 290–302.
   PubMedGoogle Scholar
• Orr, T. E. and Carter, D. R. (1985) Stress analysis of joint anthroplasty in the proximal humerus, Journal of Orthopedic Research, 3, 360–371.
   PubMed Web of Science ®Google Scholar
• Reitan, K. (1985) Biomechanical principles and reactions, In: Orthodontics, Current Principles and Techniques, Graber, T. M. and Swain, B. F. (eds). The C.V. Mosby Company, St Louis, 101–192.
   Google Scholar
• Smith, G. N. (1971) An introduction to matrix and finite element method in civil engineering, Applied Science Publishers Ltd., London.
   Google Scholar
• Stöckli, P. W. and Teuscher, U. M. (1985) Combined activator headgear orthopedics, In: Orthodontics, Current Principles and Techniques, Graber, T. M. and Swain, B. F. (eds). The C.V. Mosby Company, St Louis, 405–483.
   Google Scholar
• Stoner, M. M. (1960) Force control in clinical practice, American Journal of Orthodontics, 46, 163–186.
   Google Scholar
• Storey, E. (1973) The nature of tooth movement, American Journal of Orthodontics, 63, 292–314.
   PubMedGoogle Scholar
• Tanne, K. and Sakuda, M. (1991) Biomechanical and clinical changes of the craniofacial complex from orthopedic maxillary protraction, Angle Orthodontist, 61, 145–152.
   PubMed Web of Science ®Google Scholar
• Tanne, K., Sakuda, M. and Burstone, C. J. (1987) Three-dimensional finite element analysis for stress in the periodontal tissue by orthodontic forces, American Journal of Orthodontics and Dentofacial Orthopedics, 92, 499–505.
   PubMed Web of Science ®Google Scholar
• Tanne, K., Koenig, H. A. and Burstone, C. J. (1988a) Moment to force ratios and the center of rotation, American Journal of Orthodontics and Dentofacial Orthopedics, 94, 426–431.
   PubMed Web of Science ®Google Scholar
• Tanne, K., Miyasaka, J., Yamagata, Y., Sachdeva, R., Tsutsumi, S. and Sakuda, M. (1988b) Three-dimensional model of the human craniofacial skeleton: method and preliminary results using finite element analysis, Journal of Biomedical Engineering, 10, 246–252.
   PubMedGoogle Scholar
• Tanne, K., Hiraga, J. and Sakuda, M. (1989) Effects of directions of maxillary protraction forces on biomechanical changes in craniofacial complex, European Journal of Orthodontics, 11, 382–391.
   PubMed Web of Science ®Google Scholar
• Teuscher, U. A. (1978) A growth-related concept for skeletal Class II treatment, American Journal of Orthodontics, 74, 258–275.
   PubMedGoogle Scholar
• Vanden Bulcke, M. M., Burstone, C. J., Sachdeva, R. C. L. and Dermaut, L. R. (1987) Location of the centers of resistance for anterior teeth during retraction using the laser reflection technique, American Journal of Orthodontics and Dentofacial Orthopedics, 91, 375–384.
   PubMed Web of Science ®Google Scholar
• Williams, K. R., Edmundson, J. T., Morgan, G., Jones, M. L. and Richmond, S. (1986) Orthodontic movement of a canine into an adjoining extraction site. Journal of Biomedical Engineering, 8, 115–120.
   PubMedGoogle Scholar
• Wilson, A. N., Middleton, J., McGuinness, N. and Jones, M. (1991) A finite element study of canine retraction with a palatal spring, British Journal of Orthodontics, 18, 211–218.
   PubMedGoogle Scholar
• Zienkiewic, O. C. and Cheung, Y. K. (1967) The finite element method in structural and continuum mechanics, McGraw-Hill, New York.
   Google Scholar