A bilinear elastic constitutive model applied for midpalatal suture behavior during rapid maxillary expansion
Serpe, Larissa Carvalho Trojan; Casas, Estevam Barbosa de Las; Toyofuku, Ana Cláudia Moreira Melo; González-Torres, Libardo Andrés
http://dx.doi.org/10.1590/2446-4740.0637
Res. Biomed. Eng., vol.31, n4, p.319-327, 2015
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Abstract
Abstract Introduction: This study aims to evaluate the influence of the biomechanical behavior of the midpalatal suture (MPS) during the rapid maxillary expansion (RME) when modeled by the Finite Element Method. Methods: Four simulation alternatives are discussed and, for each analysis, the suture is considered as a functional unit with a different mechanical behavior: (i) without MPS elements, (ii) MPS with Young's modulus (E) equal to 1 MPa, (ii) MPS with E equal to 0.01 MPa and (iv) MPS with bilinear elastic behavior. Results: The stress analysis showed that, when MPS is not considered in the model, stress peaks are reduced in magnitude and their distribution is restricted to a smaller area when compared to the model with the inclusion of MPS (E=1 MPa). The increased suture stiffness also has a direct influence on MPS displacements after 30 expander activations. Conclusion: The consideration of the MPS in RME computer models influences greatly the calculated displacements between the suture bone ends, even as the stress levels in maxillary structures. Furthermore, as proposed for the described model, the elastic bilinear behavior assigned to MPS allows coherent prediction of stresses and displacements results, being a good representation for this suture overall behavior.
Keywords
Midpalatal suture, Biomechanics, Finite element analysis, Rapid maxillary expansion.
References
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Hibbeler RC. Mechanics of Materials. 5th ed. New Jersey: Prentice Hall; 2002.
Holberg C, Rudzki-Janson I. Stresses at the cranial base induced by rapid maxillary expansion. The Angle Orthodontist. 2006; 76(4):543-50. PMid:16808557.
Isaacson RJ, Ingram AH. Forces produced by rapid maxillary expansion. II. Forces present during treatment. The Angle Orthodontist. 1964; 34:261-70.
Iseri H, Tekkaya AE, Öztan Ö, Bilgiç S. Biomechanical effects of rapid maxillary expansion on the craniofacial skeleton, studied by the finite element method. European Journal of Orthodontics. 1998; 20(4):347-56. http://dx.doi.org/10.1093/ejo/20.4.347. PMid:9753816.
Jafari A, Shetty KS, Kumar M. Study of stress distribution and displacement of various craniofacial structures following application of transverse orthopedic forces: a three-dimensional FEM study. The Angle Orthodontist. 2003; 73(1):12-20. PMid:12607850.
Lee H, Ting K, Nelson M, Sun N, Sung S. Maxillary expansion in customized finite element method models. American Journal of Orthodontics and Dentofacial Orthopedics. 2009; 136(3):367-74. http://dx.doi.org/10.1016/j.ajodo.2008.08.023. PMid:19732671.
Provatidis C, Georgiopoulos B, Kotinas A, Mcdonald JP. On the FEM modeling of craniofacial changes during rapid maxillary expansion. Medical Engineering & Physics. 2007; 29(5):566-79. http://dx.doi.org/10.1016/j.medengphy.2006.03.007. PMid:17241809.
Provatidis CG, Georgiopoulos B, Kotinas A, Mcdonald JP. Evaluation of craniofacial effects during rapid maxillary expansion through combined in vivo/in vitro and finite element studies. European Journal of Orthodontics. 2008; 30(5):437-48. http://dx.doi.org/10.1093/ejo/cjn046. PMid:18927087.
Romanyk DL, Collins CR, Lagravère MO, Toogood RW, Major PW, Carey JP. Role of the midpalatal suture in FEA simulations of maxillary expansion treatment for adolescents: a review. International Orthodontics. 2013; 11(2):119-38. PMid:23537640.
Serpe LCT, Torres LAG, Freitas-Pinto RU, Toyofuku ACMM, Las Casas EB. Maxillary biomechanical study during rapid expansion treatment with simplified model. Journal of Medical Imaging and Health Informatics. 2014; 4(1):137-41. http://dx.doi.org/10.1166/jmihi.2014.1233.
Tanne K, Hiraga J, Sakuda M. Effects of directions of maxillary protraction forces on biomechanical changes in craniofacial complex. European Journal of Orthodontics. 1989; 11(4):382-91. PMid:2591486.
Verrue V, Dermaut L, Verhegghe B. Three-dimensional finite element modelling of a dog skull for the simulation of initial orthopaedic displacements. European Journal of Orthodontics. 2001; 23(5):517-27. http://dx.doi.org/10.1093/ejo/23.5.517. PMid:11668871.
Wang Q, Wood SA, Grosse IR, Ross CF, Zapata U, Byron CD, Wright BW, Strait DS. The role of the sutures in biomechanical dynamic simulation of a macaque cranial finite element model: implications for the evolution of craniofacial form. The Anatomical Record. 2012; 295(2):278-88. http://dx.doi.org/10.1002/ar.21532. PMid:22190334.
Weissheimer A, Menezes LM, Mezomo M, Dias DM, Lima EMS, Rizzatto MD. Immediate effects of rapid maxillary expansion with Haas-type and hyrax-type expanders: a randomized clinical trial. American Journal of Orthodontics and Dentofacial Orthopedics. 2011; 140(3):366-76. http://dx.doi.org/10.1016/j.ajodo.2010.07.025. PMid:21889081.
Yoshida N, Koga Y, Peng CL, Tanaka E, Kobayashi K. In vivo measurement of the elastic modulus of the human periodontal ligament. Medical Engineering & Physics. 2001; 23(8):567-72. http://dx.doi.org/10.1016/S1350-4533(01)00073-X. PMid:11719079.
Bishara SE, Staley RN. Maxillary expansion: clinical implications. American Journal of Orthodontics and Dentofacial Orthopedics. 1987; 91(1):3-14. http://dx.doi.org/10.1016/0889-5406(87)90202-2. PMid:3541577.
Gautam P, Valiathan A, Adhikari R. Stress and displacement patterns in the craniofacial skeleton with rapid maxillary expansion: a finite element method study. American Journal of Orthodontics and Dentofacial Orthopedics. 2007; 132(1):5.e1-11. http://dx.doi.org/10.1016/j.ajodo.2006.09.044. PMid:17628242.
Hibbeler RC. Mechanics of Materials. 5th ed. New Jersey: Prentice Hall; 2002.
Holberg C, Rudzki-Janson I. Stresses at the cranial base induced by rapid maxillary expansion. The Angle Orthodontist. 2006; 76(4):543-50. PMid:16808557.
Isaacson RJ, Ingram AH. Forces produced by rapid maxillary expansion. II. Forces present during treatment. The Angle Orthodontist. 1964; 34:261-70.
Iseri H, Tekkaya AE, Öztan Ö, Bilgiç S. Biomechanical effects of rapid maxillary expansion on the craniofacial skeleton, studied by the finite element method. European Journal of Orthodontics. 1998; 20(4):347-56. http://dx.doi.org/10.1093/ejo/20.4.347. PMid:9753816.
Jafari A, Shetty KS, Kumar M. Study of stress distribution and displacement of various craniofacial structures following application of transverse orthopedic forces: a three-dimensional FEM study. The Angle Orthodontist. 2003; 73(1):12-20. PMid:12607850.
Lee H, Ting K, Nelson M, Sun N, Sung S. Maxillary expansion in customized finite element method models. American Journal of Orthodontics and Dentofacial Orthopedics. 2009; 136(3):367-74. http://dx.doi.org/10.1016/j.ajodo.2008.08.023. PMid:19732671.
Provatidis C, Georgiopoulos B, Kotinas A, Mcdonald JP. On the FEM modeling of craniofacial changes during rapid maxillary expansion. Medical Engineering & Physics. 2007; 29(5):566-79. http://dx.doi.org/10.1016/j.medengphy.2006.03.007. PMid:17241809.
Provatidis CG, Georgiopoulos B, Kotinas A, Mcdonald JP. Evaluation of craniofacial effects during rapid maxillary expansion through combined in vivo/in vitro and finite element studies. European Journal of Orthodontics. 2008; 30(5):437-48. http://dx.doi.org/10.1093/ejo/cjn046. PMid:18927087.
Romanyk DL, Collins CR, Lagravère MO, Toogood RW, Major PW, Carey JP. Role of the midpalatal suture in FEA simulations of maxillary expansion treatment for adolescents: a review. International Orthodontics. 2013; 11(2):119-38. PMid:23537640.
Serpe LCT, Torres LAG, Freitas-Pinto RU, Toyofuku ACMM, Las Casas EB. Maxillary biomechanical study during rapid expansion treatment with simplified model. Journal of Medical Imaging and Health Informatics. 2014; 4(1):137-41. http://dx.doi.org/10.1166/jmihi.2014.1233.
Tanne K, Hiraga J, Sakuda M. Effects of directions of maxillary protraction forces on biomechanical changes in craniofacial complex. European Journal of Orthodontics. 1989; 11(4):382-91. PMid:2591486.
Verrue V, Dermaut L, Verhegghe B. Three-dimensional finite element modelling of a dog skull for the simulation of initial orthopaedic displacements. European Journal of Orthodontics. 2001; 23(5):517-27. http://dx.doi.org/10.1093/ejo/23.5.517. PMid:11668871.
Wang Q, Wood SA, Grosse IR, Ross CF, Zapata U, Byron CD, Wright BW, Strait DS. The role of the sutures in biomechanical dynamic simulation of a macaque cranial finite element model: implications for the evolution of craniofacial form. The Anatomical Record. 2012; 295(2):278-88. http://dx.doi.org/10.1002/ar.21532. PMid:22190334.
Weissheimer A, Menezes LM, Mezomo M, Dias DM, Lima EMS, Rizzatto MD. Immediate effects of rapid maxillary expansion with Haas-type and hyrax-type expanders: a randomized clinical trial. American Journal of Orthodontics and Dentofacial Orthopedics. 2011; 140(3):366-76. http://dx.doi.org/10.1016/j.ajodo.2010.07.025. PMid:21889081.
Yoshida N, Koga Y, Peng CL, Tanaka E, Kobayashi K. In vivo measurement of the elastic modulus of the human periodontal ligament. Medical Engineering & Physics. 2001; 23(8):567-72. http://dx.doi.org/10.1016/S1350-4533(01)00073-X. PMid:11719079.
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