Finite element analysis on pushing the molar backwards using invisible aligner with different migration displacement

[1] Asiry M.A., Biological aspects of orthodontic tooth movement: A review of literature, Saudi J. Biol. Sci., 2018, 25, 1027–1032. Search in Google Scholar

[2] Barone S., Paoli A., Razionale A.V., Savignano R., Computer aided modelling to simulate the biomechanical behaviour of customised orthodontic removable appliances, Int. J. Interact. Des. Manuf., 2016, 10, 387–400. Search in Google Scholar

[3] Benazzi S., Kullmer O., Grosse I.R., Weber G.W., Brief communication: comparing loading scenarios in lower first molar supporting bone structure using 3D finite element analysis, Am. J. Phys. Anthropol., 2012, 147, 128–134. Search in Google Scholar

[4] Caballero G.M., Carvalho F.O.A., Hargreaves B.O., Araújo H.H., Júnior P.A.A.M., Oliveira D.D., Mandibular canine intrusion with the segmented arch technique: A finite element method study, Am. J. Orthod. Dentofac. Orthop., 2015, 147, 691–697. Search in Google Scholar

[5] Cai Y., Yang X., He B., Yao J., Finite element method analysis of the periodontal ligament in mandibular canine movement with transparent tooth correction treatment, BMC Oral Health, 2015, 15, 1–11. Search in Google Scholar

[6] Cattaneo P.M., Dalstra M., Melsen B., Moment-to-force ratio, center of rotation, and force level: A finite element study predicting their interdependency for simulated orthodontic loading regimens, Am. J. Orthod. Dentofac. Orthop., 2008, 133, 681–689. Search in Google Scholar

[7] Comba B., Parrini S., Rossini G., Castroflorio T., Deregibus A., A three-dimensional finite element analysis of upper-canine distalization with clear aligners, composite attachments, and class II elastics, J. Clin. Orthod., 2017, 51, 24–28. Search in Google Scholar

[8] Elkholy F., Mikhaiel B., Schmidt F., Lapatki B.G., Mechanical load exerted by PET-G aligners during mesial and distal derotation of a mandibular canine: An in vitro study, J. Orofac. Orthop., 2017, 78, 1–9. Search in Google Scholar

[9] Fontana M., Cozzani M., Caprioglio A., Soft tissue, skeletal and dentoalveolar changes following conventional anchorage molar distalization therapy in class II non-growing subjects: a multicentric retrospective study, Prog. Orthod., 2012, 13, 30–41. Search in Google Scholar

[10] Gomez J.P., Peña F.M., Martínez V., Giraldo D.C., Cardona C.I., Initial force systems during bodily tooth movement with plastic aligners and composite attachments: A three-dimensional finite element analysis, Angle Orthod., 2015, 85, 454–460. Search in Google Scholar

[11] Gröning F., Bright J.A., Fagan M.J., O’Higgins P., Improving the validation of finite element models with quantitative full-field strain comparisons, J. Biomech., 2012, 45, 1498–1506. Search in Google Scholar

[12] Gröning F., Fagan M., O’Higgins P., Modeling the Human Mandible Under Masticatory Loads: Which Input Variables are Important?, Anat. Rec., 2012, 295, 853–863. Search in Google Scholar

[13] Gupta M., Madhok K., Kulshrestha R., Chain S., Kaur H., Yadav A., Determination of stress distribution on periodontal ligament and alveolar bone by various tooth movements– A 3D FEM study, J. Oral Biol. Craniofac. Res., 2020, 10, 758–763. Search in Google Scholar

[14] Hahn W., Zapf A., Dathe H., Fialka-Fricke J., Fricke-Zech S., Gruber R., Sadat-Khonsari R., Torquing an upper central incisor with aligners – acting forces and biomechanical principles, Eur. J. Orthod., 2010, 32, 607–613. Search in Google Scholar

[15] Heravi F., Salari S., Tanbakuchi B., Loh S., Amiri M., Effects of crown-root angle on stress distribution in the maxillary central incisors’ PDL during application of intrusive and retraction forces: a three-dimensional finite element analysis, Prog. Orthod., 2013, 14, 1–10. Search in Google Scholar

[16] Hedayati Z., Shomali M., Maxillary anterior en masse retraction using different antero-posterior position of mini screw: a 3D finite element study, Prog. Orthod., 2016, 17, 1–7. Search in Google Scholar

[17] Hohmann A., Kober C., Young P., Dorow C., Geiger M., Boryor A., Sander F.G., Influence of different modeling strategies for the periodontal ligament on finite element simulation results, Am. J. Orthod. Dentofac. Orthop., 2011, 139, 775–783. Search in Google Scholar

[18] Hohmann A., Wolfram U., Geiger M., Boryor A., Sander C., Faltin R., Sander F.G., Periodontal Ligament Hydrostatic Pressure with Areas of Root Resorption after Application of a Continuous Torque Moment, Angle Orthod., 2007, 77, 653–659. Search in Google Scholar

[19] Hohmann A., Wolfram U., Geiger M., Boryor A., Kober C., Sander C., Sander F.G., Correspondences of hydrostatic pressure in periodontal ligament with regions of root resorption: A clinical and a finite element study of the same human teeth, Comput. Meth. Prog. Bio., 2009, 93, 155–161. Search in Google Scholar

[20] Kojima Y., Fukui H., Numerical simulations of canine retraction with T-loop springs based on the updated moment-to-force ratio, Eur. J. Orthod., 2012, 34, 10–18. Search in Google Scholar

[21] Krishnan V., Davidovitch Z., Cellular, molecular, and tissue-level reactions to orthodontic force, Am. J. Orthod. Dentofac. Orthop., 2006, 129, 469.e1–469.e32. Search in Google Scholar

[22] Kuo E., Miller R.J., Automated custom-manufacturing technology in orthodontics, Am. J. Orthod. Dentofac. Orthop., 2003, 123, 578–581. Search in Google Scholar

[23] Li Y., Jacox L.A., Little S.H., Ko C.C., Orthodontic tooth movement: The biology and clinical implications, Kaohsiung J. Med. Sci., 2018, 34, 207–214. Search in Google Scholar

[24] Limbert G., Middleton J., A compressible transversely isotropic hyperelastic constitutive law for modelling the periodontal ligament: analytical and computational aspects, Acta. Bioeng. Biomech., 2003, 4, 137–138. Search in Google Scholar

[25] Nikolaus A., Currey J.D., Lindtner T., Fleck C., Zaslansky P., Importance of the variable periodontal ligament geometry for whole tooth mechanical function: a validated numerical study, J. Mech. Behav. Biomed. Mater., 2017, 67, 61–73. Search in Google Scholar

[26] Nyashin Y.I., Nyashin M.Y., Biomechanical modelling of periodontal ligament behaviour under various mechanical loads, Acta. Bioeng. Biomech., 2000, 2, 67–74. Search in Google Scholar

[27] Provatidis C.G., A comparative FEM-study of tooth mobility using isotropic and anisotropic models of the periodontal ligament, Med. Eng. Phys., 2000, 22, 359–370. Search in Google Scholar

[28] Reinoso M.R., Civera M., Burgio V., Bergamin F., Ruiz O.G., Pugno N.M., Surace C., 3D printing and testing of rose thorns or limpet teeth inspired anchor device for tendon tissue repair, Acta. Bioeng. Biomech., 2021. Search in Google Scholar

[29] Sarkar S., Sahu T.P., Datta A., Chandra N., Chakraborty A., Datta P., Chowdhury A.R., Mechanical response at peri-implant mandibular bone for variation of pore characteristics of implants: A Finite Element Study, Acta. Bioeng. Biomech., 2019, 21. Search in Google Scholar

[30] Tanne K., Nagataki T., Inoue Y., Sakuda M., Burstone C.J., Patterns of initial tooth displacements associated with various root lengths and alveolar bone heights, Am. J. Orthod. Dentofac. Orthop., 1991, 100, 66–71. Search in Google Scholar

[31] Turpin D.L., Clinical trials needed to answer questions about Invisalign, Am. J. Orthod, Dentofacial Orthop., 2005, 127, 157–158. Search in Google Scholar

[32] Vardimon A.D., Oren E., Ben-Bassat Y., Cortical bone remodeling/tooth movement ratio during maxillary incisor retraction with tip versus torque movements, Am. J. Orthod. Dentofac. Orthop., 1998, 114, 520–529. Search in Google Scholar

[33] Wang D., Akbari A., Jiang F., Liu Y., Chen J., The effects of different types of periodontal ligament material models on stresses computed using finite element models, Am. J. Orthod. Dentofac. Orthop., 2022, 162, e328–e336. Search in Google Scholar

[34] Weir T., Clear aligners in orthodontic treatment, Aust. Dent. J., 2017, 62, 58–62. Search in Google Scholar

[35] Yokoi Y., Arai A., Kawamura J., Uozumi T., Usui Y., Okafuji N., Effects of Attachment of Plastic Aligner in Closing of Diastema of Maxillary Dentition by Finite Element Method, J. Healthc. Eng., 2019, 1–6. Search in Google Scholar

[36] Zheng M., Liu R., Ni Z., Yu Z., Efficiency, effectiveness and treatment stability of clear aligners: A systematic review and meta-analysis, Orthod. Craniofac. Res., 2017, 20, 127–133. Search in Google Scholar