An analysis of the optimal intrusion force of the maxillary central incisor with root horizontal resorption using the finite element method and curve fitting

References

• Artun J, Van 't Hullenaar R, Doppel D, Kuijpers-Jagtman AM. 2009. Identification of orthodontic patients at risk of severe apical root resorption. Am J Orthod Dentofac Orthop. 135(4):448–455.
   PubMed Web of Science ®Google Scholar
• Casa MA, Faltin RM, Faltin K, Sander FG, Arana-Chavez VE. 2001. Root resorptions in upper first premolars after application of continuous torque moment. Intra-individual study. J Orofac Orthop. 62(4):285–295.
   PubMedGoogle Scholar
• Cattaneo PM, Dalstra M, Melsen B. 2005. The finite element method: a tool to study orthodontic tooth movement. J Dent Res. 84(5):428–433.
   PubMed Web of Science ®Google Scholar
• Chen J, Li W, Swain MV, Ali Darendeliler M, Li Q. 2014. A periodontal ligament driven remodeling algorithm for orthodontic tooth movement. J Biomech. 47(7):1689–1695.
   PubMed Web of Science ®Google Scholar
• Choi SH, Kim JS, Kim CS, Yu HS, Hwang CJ. 2017. Cone-beam computed tomography for the assessment of root-crown ratios of the maxillary and mandibular incisors in a Korean population. Korean J Orthod. 47(1):39–49.
   PubMed Web of Science ®Google Scholar
• De Aguiar MC, Perinetti G, Capelli J., Jr. 2017. The gingival crevicular fluid as a source of biomarkers to enhance efficiency of orthodontic and functional treatment of growing patients. Biomed Res Int. 2017:3257235.
   PubMed Web of Science ®Google Scholar
• de Souza Batista VE, Verri FR, Almeida DAF, Santiago Junior JF, Lemos CAA, Pellizzer EP. 2017. Evaluation of the effect of an offset implant configuration in the posterior maxilla with external hexagon implant platform: a 3-dimensional finite element analysis. J Prosthet Dent. 118(3):363–371.
   PubMed Web of Science ®Google Scholar
• Deguchi T, Nasu M, Murakami K, Yabuuchi T, Kamioka H, Takano-Yamamoto T. 2006. Quantitative evaluation of cortical bone thickness with computed tomographic scanning for orthodontic implants. Am J Orthod Dentofac Orthop. 129(6):721.e7–721.e12.
   Google Scholar
• Dindaroglu F, Dogan S. 2017. Root Resorption in Orthodontics. Turk J Orthod. 29(4):103–108.
   Web of Science ®Google Scholar
• Dorow C, Sander FG. 2005. Development of a model for the simulation of orthodontic load on lower first premolars using the finite element method. J Orofac Orthop. 66(3):208–218.
   PubMedGoogle Scholar
• Feller L, Khammissa R, Schechter I, Thomadakis G, Fourie J, Lemmer J. 2015. Biological events in periodontal ligament and alveolar bone associated with application of orthodontic forces. Sci World J. 2015:1–7.
   Google Scholar
• Feng Y, Kong WD, Cen WJ, Zhou XZ, Zhang W, Li QT, Guo HY, Yu JW. 2019. Finite element analysis of the effect of power arm locations on tooth movement in extraction space closure with miniscrew anchorage in customized lingual orthodontic treatment. Am J Orthod Dentofac Orthop. 156(2):210–219.
   PubMed Web of Science ®Google Scholar
• Field C, Ichim I, Swain MV, Chan E, Darendeliler MA, Li W, Li Q. 2009. Mechanical responses to orthodontic loading: a 3-dimensional finite element multi-tooth model. Am J Orthod Dentofac Orthop. 135(2):174–181.
   PubMed Web of Science ®Google Scholar
• Gonzalez Del Castillo McGrath M, Araujo-Monsalvo VM, Murayama N, Martinez-Cruz M, Justus-Doczi R, Dominguez-Hernandez VM, Ondarza-Rovira R. 2018. Mandibular anterior intrusion using miniscrews for skeletal anchorage: A 3-dimensional finite element analysis. Am J Orthod Dentofac Orthop. 154(4):469–476.
   PubMed Web of Science ®Google Scholar
• Han G, Huang S, Von den Hoff JW, Zeng X, Kuijpers-Jagtman AM. 2005. Root resorption after orthodontic intrusion and extrusion: an intraindividual study. Angle Orthod. 75(6):912–918
   PubMed Web of Science ®Google Scholar
• Harris DA, Jones AS, Darendeliler MA. 2006. Physical properties of root cementum: part 8. Volumetric analysis of root resorption craters after application of controlled intrusive light and heavy orthodontic forces: a microcomputed tomography scan study. Am J Orthod Dentofac Orthop. 130(5):639–647.
   PubMed Web of Science ®Google Scholar
• Hemanth M, Raghuveer H, Rani M, Hegde C, Kabbur KJ, Vedavathi B, Chaithra D. 2015. An Analysis of the Stress Induced in the Periodontal Ligament during Extrusion and Rotation Movements: A Finite Element Method Linear Study Part I. J Contemp Dent Pract. 16(9):740–743.
   PubMedGoogle Scholar
• Hohmann A, Wolfram U, Geiger M, Boryor A, Sander C, Faltin R, Faltin K, Sander FG. 2007. Periodontal ligament hydrostatic pressure with areas of root resorption after application of a continuous torque moment. Angle Orthod. 77(4):653–659.
   PubMed Web of Science ®Google Scholar
• Jain A, Prasantha G, Mathew S, Sabrish S. 2021. Analysis of stress in periodontium associated with orthodontic tooth movement: a three dimensional finite element analysis. Comput Methods Biomech Biomed Eng. 24(16):1841–1853.
   PubMed Web of Science ®Google Scholar
• Krishnan V, Davidovitch Z. 2009. On a path to unfolding the biological mechanisms of orthodontic tooth movement. J Dent Res. 88(7):597–608.
   PubMed Web of Science ®Google Scholar
• Li Z. 2014. Oral orthodontic force simulation and tooth movement modulation research [MS thesis]. Harbin, China: Harbin Institute of Technology (in Chinese).
   Google Scholar
• Liao Z, Chen J, Li W, Darendeliler MA, Swain M, Li Q. 2016. Biomechanical investigation into the role of the periodontal ligament in optimising orthodontic force: a finite element case study. Arch Oral Biol. 66:98–107.
   PubMed Web of Science ®Google Scholar
• Lopatiene K, Dumbravaite A. 2008. Risk factors of root resorption after orthodontic treatment. Stomatologija. 10(3):89–95.
   PubMedGoogle Scholar
• McFadden WM, Engstrom C, Engstrom H, Anholm JM. 1989. A study of the relationship between incisor intrusion and root shortening. Am J Orthod Dentofac Orthop. 96(5):390–396.
   PubMed Web of Science ®Google Scholar
• Minch LE, Sarul M, Nowak R, Kawala B, Antoszewska-Smith J. 2017. Orthodontic intrusion of periodontally-compromised maxillary incisors: 3-dimensional finite element method analysis. Adv Clin Exp Med. 26(5):829–833.
   PubMed Web of Science ®Google Scholar
• Qian Y, Fan Y, Liu Z, Zhang M. 2008. Numerical simulation of tooth movement in a therapy period. Clin Biomech (Bristol, Avon). 23 (Suppl 1):S48–S52.
   PubMed Web of Science ®Google Scholar
• Ramos Verri F, Santiago Junior JF, de Faria Almeida DA, de Oliveira GB, de Souza Batista VE, Marques Honório H, Noritomi PY, Pellizzer EP. 2015. Biomechanical influence of crown-to-implant ratio on stress distribution over internal hexagon short implant: 3-D finite element analysis with statistical test. J Biomech. 48(1):138–145.
   PubMed Web of Science ®Google Scholar
• Reimann S, Keilig L, Jager A, Bourauel C. 2007. Biomechanical finite-element investigation of the position of the centre of resistance of the upper incisors. Eur J Orthod. 29(3):219–224.
   PubMed Web of Science ®Google Scholar
• Ren Y, Maltha JC, Kuijpers-Jagtman AM. 2003. Optimum force magnitude for orthodontic tooth movement: a systematic literature review. Angle Orthod. 73(1):86–92.
   PubMed Web of Science ®Google Scholar
• Roscoe MG, Cattaneo PM, Dalstra M, Ugarte OM, Meira JB. 2021. Orthodontically induced root resorption: A critical analysis of finite element studies' input and output. Am J Orthod Dentofac Orthop. 159(6):779–789.
   PubMed Web of Science ®Google Scholar
• Seres L, Vetro E, Perenyi J, Kocsis A. 2017. Severe root resorption of the upper central incisors as a consequence of playing the flute. Dent Traumatol. 33(5):406–409.
   PubMed Web of Science ®Google Scholar
• Steigman S, Michaeli Y. 1981. Experimental intrusion of rat incisors with continuous loads of varying magnitude. Am J Orthod. 80(4):429–436.
   PubMedGoogle Scholar
• Theodorou CI, Kuijpers-Jagtman AM, Bronkhorst EM, Wagener F. 2019. Optimal force magnitude for bodily orthodontic tooth movement with fixed appliances: A systematic review. Am J Orthod Dentofac Orthop. 156(5):582–592.
   PubMed Web of Science ®Google Scholar
• Tieu LD, Saltaji H, Normando D, Flores-Mir C. 2014. Radiologically determined orthodontically induced external apical root resorption in incisors after non-surgical orthodontic treatment of class II division 1 malocclusion: a systematic review. Prog Orthod. 15(1):48.
   PubMedGoogle Scholar
• Toms SR, Eberhardt AW. 2003. A nonlinear finite element analysis of the periodontal ligament under orthodontic tooth loading. Am J Orthod Dentofac Orthop. 123(6):657–665.
   PubMed Web of Science ®Google Scholar
• Verri FR, Batista VE, Santiago JF, Jr., Almeida DA, Pellizzer EP. 2014. Effect of crown-to-implant ratio on peri-implant stress: a finite element analysis. Mater Sci Eng C Mater Biol Appl. 45:234–240.
   PubMed Web of Science ®Google Scholar
• Wu JL, Liu YF, Peng W, Dong HY, Zhang JX. 2018. A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis. J Zhejiang Univ Sci B. 19(7):535–546.
   PubMed Web of Science ®Google Scholar
• Wu J, Liu Y, Wang D, Zhang J, Dong X, Jiang X, Xu X. 2019. Investigation of effective intrusion and extrusion force for maxillary canine using finite element analysis. Comput Methods Biomech Biomed Eng. 22(16):1294–1302.
   PubMed Web of Science ®Google Scholar