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Published in: BMC Oral Health 1/2023

Open Access 01-12-2023 | Tooth Extraction | Research

Efficacy of a four-curvature auxiliary arch at preventing maxillary central incisor linguoclination during orthodontic treatment: a finite element analysis

Authors: Ping-Zhu Yang, Li-Yun Bai, He-Xuan Zhang, Wen-Jun Zhao, Yu liu, Xiu-Jie Wen, Rui Liu

Published in: BMC Oral Health | Issue 1/2023

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Abstract

Background

Correct torque of the incisors is beneficial in the assessment of the effects of orthodontic treatment. However, evaluating this process effectively remains a challenge. Improper anterior teeth torque angle can cause bone fenestrations and exposure of the root surface.

Methods

A three-dimensional finite element model of the maxillary incisor torque controlled by a homemade four-curvature auxiliary arch was established. The four-curvature auxiliary arch placed on the maxillary incisors was divided into four different state groups, among which 2 groups had tooth extraction space retracted traction force set to 1.15 N. Initial displacements and pressure stresses of the periodontal tissue in the maxillary incisors and molars were calculated after torque forces (0.5, 1, 1.5, and 2 N) were applied to the teeth at different stable states.

Results

The effect of using the four-curvature auxiliary arch on the incisors was significant but did not affect the position of the molars. Given the absence of tooth extraction space, when the four-curvature auxiliary arch was used in conjunction with absolute anchorage, the recommended force value was < 1.5 N. In the other 3 groups (i.e., molar ligation, molar retraction, and microimplant retraction groups), the recommended force value was < 1 N. The application of a four-curvature auxiliary arch did not influence the molar periodontal and displacement.

Conclusion

A four-curvature auxiliary arch may treat severely upright anterior teeth and correct cortical fenestrations of the bone and root surface exposure.
Appendix
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Literature
1.
go back to reference Basamtabar M, Imani MM, Safari-Faramani R, Teimourian H, Ebrahimi S, Bahrampour E. Relationship of anteroposterior position of maxillary central incisors with the forehead in an adult Iranian subpopulation: a cross-sectional study. Int Orthod. 2021;19(3):480–6.PubMed Basamtabar M, Imani MM, Safari-Faramani R, Teimourian H, Ebrahimi S, Bahrampour E. Relationship of anteroposterior position of maxillary central incisors with the forehead in an adult Iranian subpopulation: a cross-sectional study. Int Orthod. 2021;19(3):480–6.PubMed
2.
go back to reference Bhikoo C, Xu J, Sun H, Jin C, Jiang H, Hu R. Factors affecting treatment duration of labial inversely impacted maxillary central incisors. Am J Orthod Dentofacial Orthop. 2018;153(5):708–15.PubMed Bhikoo C, Xu J, Sun H, Jin C, Jiang H, Hu R. Factors affecting treatment duration of labial inversely impacted maxillary central incisors. Am J Orthod Dentofacial Orthop. 2018;153(5):708–15.PubMed
3.
go back to reference Lee JE, Jung CY, Kim Y, Kook YA, Ko Y, Park JB. Analysis of alveolar bone morphology of the maxillary central and lateral incisors with normal occlusion. Medicina (Kaunas). 2019;55(9):565.PubMed Lee JE, Jung CY, Kim Y, Kook YA, Ko Y, Park JB. Analysis of alveolar bone morphology of the maxillary central and lateral incisors with normal occlusion. Medicina (Kaunas). 2019;55(9):565.PubMed
4.
go back to reference Park CS, Yu HS, Cha JY, Mo SS, Lee KJ. Effect of archwire stiffness and friction on maxillary posterior segment displacement during anterior segment retraction: a three-dimensional finite element analysis. Korean J Orthod. 2019;49(6):393–403.PubMedPubMedCentral Park CS, Yu HS, Cha JY, Mo SS, Lee KJ. Effect of archwire stiffness and friction on maxillary posterior segment displacement during anterior segment retraction: a three-dimensional finite element analysis. Korean J Orthod. 2019;49(6):393–403.PubMedPubMedCentral
5.
go back to reference Alrbata RH, Momani MQ, Al-Tarawneh AM, Ihyasat A. Optimal force magnitude loaded to orthodontic microimplants: a finite element analysis. Angle Orthod. 2016;86(2):221–6.PubMed Alrbata RH, Momani MQ, Al-Tarawneh AM, Ihyasat A. Optimal force magnitude loaded to orthodontic microimplants: a finite element analysis. Angle Orthod. 2016;86(2):221–6.PubMed
6.
go back to reference Di Leonardo B, Ludwig B, Lisson JA, Contardo L, Mura R, Hourfar J. Insertion torque values and success rates for paramedian insertion of orthodontic mini-implants: a retrospective study. J Orofac Orthop. 2018;79(2):109–15.PubMed Di Leonardo B, Ludwig B, Lisson JA, Contardo L, Mura R, Hourfar J. Insertion torque values and success rates for paramedian insertion of orthodontic mini-implants: a retrospective study. J Orofac Orthop. 2018;79(2):109–15.PubMed
7.
go back to reference Wu J, Wang X, Jiang Y, Wu Z, Shen Q, Chen Y, Meng Q, Ye N. Effect of archwire plane and archwire size on anterior teeth movement in sliding mechanics in customized labial orthodontics: a 3D finite element study. BMC Oral Health. 2022;22(1):33.PubMedPubMedCentral Wu J, Wang X, Jiang Y, Wu Z, Shen Q, Chen Y, Meng Q, Ye N. Effect of archwire plane and archwire size on anterior teeth movement in sliding mechanics in customized labial orthodontics: a 3D finite element study. BMC Oral Health. 2022;22(1):33.PubMedPubMedCentral
8.
go back to reference Zarif Najafi H, Oshagh M, Khalili MH, Torkan S. Esthetic evaluation of incisor inclination in smiling profiles with respect to mandibular position. Am J Orthod Dentofacial Orthop. 2015;148(3):387–95.PubMed Zarif Najafi H, Oshagh M, Khalili MH, Torkan S. Esthetic evaluation of incisor inclination in smiling profiles with respect to mandibular position. Am J Orthod Dentofacial Orthop. 2015;148(3):387–95.PubMed
9.
go back to reference Liu R, Hou WB, Yang PZ, Zhu L, Zhou YQ, Yu X, Wen XJ. Severe skeletal bimaxillary protrusion treated with micro-implants and a self-made four-curvature torquing auxiliary: a case report pdf. World J Clin Cases. 2021;9(3):722–35.PubMedPubMedCentral Liu R, Hou WB, Yang PZ, Zhu L, Zhou YQ, Yu X, Wen XJ. Severe skeletal bimaxillary protrusion treated with micro-implants and a self-made four-curvature torquing auxiliary: a case report pdf. World J Clin Cases. 2021;9(3):722–35.PubMedPubMedCentral
10.
go back to reference Tran B, Nobes DS, Major PW, Carey JP, Romanyk DL. Research paper: The three-dimensional mechanical response of orthodontic archwires and brackets in vitro during simulated orthodontic torque. J Mech Behav Biomed Mater. 2021;114: 104196.PubMed Tran B, Nobes DS, Major PW, Carey JP, Romanyk DL. Research paper: The three-dimensional mechanical response of orthodontic archwires and brackets in vitro during simulated orthodontic torque. J Mech Behav Biomed Mater. 2021;114: 104196.PubMed
11.
go back to reference Petrescu SM, Tuculina MJ, Popa DL, Duta A, Salan AI, Voinea Georgescu R, Diaconu OA, Turcu AA, Mocanu H, Nicola AG, et al. Modeling and simulating an orthodontic system using virtual methods. Diagnostics (Basel). 2022;12(5):1296.PubMed Petrescu SM, Tuculina MJ, Popa DL, Duta A, Salan AI, Voinea Georgescu R, Diaconu OA, Turcu AA, Mocanu H, Nicola AG, et al. Modeling and simulating an orthodontic system using virtual methods. Diagnostics (Basel). 2022;12(5):1296.PubMed
12.
go back to reference Cattaneo PM, Cornelis MA. Orthodontic tooth movement studied by finite element analysis: an update. What can we learn from these simulations? Curr Osteoporos Rep. 2021;19(2):175–81.PubMed Cattaneo PM, Cornelis MA. Orthodontic tooth movement studied by finite element analysis: an update. What can we learn from these simulations? Curr Osteoporos Rep. 2021;19(2):175–81.PubMed
13.
go back to reference Verri FR, Santiago Junior JF, Almeida DA, Verri AC, Batista VE, Lemos CA, Noritomi PY, Pellizzer EP. Three-dimensional finite element analysis of anterior single implant-supported prostheses with different bone anchorages. Sci World J. 2015;2015: 321528. Verri FR, Santiago Junior JF, Almeida DA, Verri AC, Batista VE, Lemos CA, Noritomi PY, Pellizzer EP. Three-dimensional finite element analysis of anterior single implant-supported prostheses with different bone anchorages. Sci World J. 2015;2015: 321528.
14.
go back to reference Sarrafpour B, Swain M, Li Q, Zoellner H. Tooth eruption results from bone remodelling driven by bite forces sensed by soft tissue dental follicles: a finite element analysis. PLoS ONE. 2013;8(3): e58803.PubMedPubMedCentral Sarrafpour B, Swain M, Li Q, Zoellner H. Tooth eruption results from bone remodelling driven by bite forces sensed by soft tissue dental follicles: a finite element analysis. PLoS ONE. 2013;8(3): e58803.PubMedPubMedCentral
15.
go back to reference Pelsue BM, Zinelis S, Bradley TG, Berzins DW, Eliades T, Eliades G. Structure, composition, and mechanical properties of Australian orthodontic wires. Angle Orthod. 2009;79(1):97–101.PubMed Pelsue BM, Zinelis S, Bradley TG, Berzins DW, Eliades T, Eliades G. Structure, composition, and mechanical properties of Australian orthodontic wires. Angle Orthod. 2009;79(1):97–101.PubMed
16.
go back to reference Mazhari M, Khanehmasjedi M, Mazhary M, Atashkar N, Rakhshan V. Dynamics, efficacies, and adverse effects of maxillary full-arch intrusion using temporary anchorage devices (miniscrews): a finite element analysis. Biomed Res Int. 2022;2022:6706392.PubMedPubMedCentral Mazhari M, Khanehmasjedi M, Mazhary M, Atashkar N, Rakhshan V. Dynamics, efficacies, and adverse effects of maxillary full-arch intrusion using temporary anchorage devices (miniscrews): a finite element analysis. Biomed Res Int. 2022;2022:6706392.PubMedPubMedCentral
17.
go back to reference Travess H, Roberts-Harry D, Sandy J. Orthodontics. Part 6: risks in orthodontic treatment. Br Dent J. 2004;196(2):71–7.PubMed Travess H, Roberts-Harry D, Sandy J. Orthodontics. Part 6: risks in orthodontic treatment. Br Dent J. 2004;196(2):71–7.PubMed
18.
go back to reference Wu JL, Liu YF, Peng W, Dong HY, Zhang JX. A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis. J Zhejiang Univ Sci B. 2018;19(7):535–46.PubMedPubMedCentral Wu JL, Liu YF, Peng W, Dong HY, Zhang JX. A biomechanical case study on the optimal orthodontic force on the maxillary canine tooth based on finite element analysis. J Zhejiang Univ Sci B. 2018;19(7):535–46.PubMedPubMedCentral
19.
go back to reference Dorow C, Sander FG. Development of a model for the simulation of orthodontic load on lower first premolars using the finite element method. J Orofac Orthop. 2005;66(3):208–18.PubMed Dorow C, Sander FG. Development of a model for the simulation of orthodontic load on lower first premolars using the finite element method. J Orofac Orthop. 2005;66(3):208–18.PubMed
20.
go back to reference Hohmann A, Wolfram U, Geiger M, Boryor A, Sander C, Faltin R, Faltin K, Sander FG. Periodontal ligament hydrostatic pressure with areas of root resorption after application of a continuous torque moment. Angle Orthod. 2007;77(4):653–9.PubMed Hohmann A, Wolfram U, Geiger M, Boryor A, Sander C, Faltin R, Faltin K, Sander FG. Periodontal ligament hydrostatic pressure with areas of root resorption after application of a continuous torque moment. Angle Orthod. 2007;77(4):653–9.PubMed
21.
go back to reference Moga RA, Buru SM, Chiorean CG. Overall stress in periodontal ligament under orthodontic movement during a periodontal breakdown. Am J Orthod Dentofacial Orthop. 2022;161(2):e127–35.PubMed Moga RA, Buru SM, Chiorean CG. Overall stress in periodontal ligament under orthodontic movement during a periodontal breakdown. Am J Orthod Dentofacial Orthop. 2022;161(2):e127–35.PubMed
22.
go back to reference Rakhshan V, Ordoubazari M. Risk factors of root resorption after orthodontic treatment. Aust Orthod J. 2012;28:51–6.PubMed Rakhshan V, Ordoubazari M. Risk factors of root resorption after orthodontic treatment. Aust Orthod J. 2012;28:51–6.PubMed
23.
go back to reference Sameshima GT, Sinclair PM. Predicting and preventing root resorption: part I. Diagnostic factors. Am J Orthod Dentofacial Orthop. 2001;119(5):505–10.PubMed Sameshima GT, Sinclair PM. Predicting and preventing root resorption: part I. Diagnostic factors. Am J Orthod Dentofacial Orthop. 2001;119(5):505–10.PubMed
24.
go back to reference Fox N. Longer orthodontic treatment may result in greater external apical root resorption. Evid Based Dent. 2005;6(1):21.PubMed Fox N. Longer orthodontic treatment may result in greater external apical root resorption. Evid Based Dent. 2005;6(1):21.PubMed
25.
go back to reference Chen J, Li W, Swain MV, Ali Darendeliler M, Li Q. A periodontal ligament driven remodeling algorithm for orthodontic tooth movement. J Biomech. 2014;47(7):1689–95.PubMed Chen J, Li W, Swain MV, Ali Darendeliler M, Li Q. A periodontal ligament driven remodeling algorithm for orthodontic tooth movement. J Biomech. 2014;47(7):1689–95.PubMed
26.
go back to reference Liao Z, Chen J, Li W, Darendeliler MA, Swain M, Li Q. Biomechanical investigation into the role of the periodontal ligament in optimising orthodontic force: a finite element case study. Arch Oral Biol. 2016;66:98–107.PubMed Liao Z, Chen J, Li W, Darendeliler MA, Swain M, Li Q. Biomechanical investigation into the role of the periodontal ligament in optimising orthodontic force: a finite element case study. Arch Oral Biol. 2016;66:98–107.PubMed
27.
go back to reference Kuc AE, Kotula J, Nahajowski M, Warnecki M, Lis J, Amm E, Kawala B, Sarul M. Methods of anterior torque control during retraction: a systematic review. Diagnostics (Basel). 2022;12(7):1611.PubMed Kuc AE, Kotula J, Nahajowski M, Warnecki M, Lis J, Amm E, Kawala B, Sarul M. Methods of anterior torque control during retraction: a systematic review. Diagnostics (Basel). 2022;12(7):1611.PubMed
28.
go back to reference Cozzani M, Sadri D, Nucci L, Jamilian P, Pirhadirad AP, Jamilian A. The effect of Alexander, Gianelly, Roth, and MBT bracket systems on anterior retraction: a 3-dimensional finite element study. Clin Oral Investig. 2020;24(3):1351–7.PubMed Cozzani M, Sadri D, Nucci L, Jamilian P, Pirhadirad AP, Jamilian A. The effect of Alexander, Gianelly, Roth, and MBT bracket systems on anterior retraction: a 3-dimensional finite element study. Clin Oral Investig. 2020;24(3):1351–7.PubMed
29.
go back to reference Romanyk DL, Vafaeian B, Addison O, Adeeb S. The use of finite element analysis in dentistry and orthodontics: critical points for model development and interpreting results. Seminars in Orthodontics. 2020;26(3):162–73. Romanyk DL, Vafaeian B, Addison O, Adeeb S. The use of finite element analysis in dentistry and orthodontics: critical points for model development and interpreting results. Seminars in Orthodontics. 2020;26(3):162–73.
30.
go back to reference Wang R, Mei L, Wang S, Li Y. Traction of impacted and stacked maxillary anterior teeth with precise biomechanics followed by torque control using gate spring. Am J Orthod Dentofacial Orthop. 2022;162(5):763–76. Wang R, Mei L, Wang S, Li Y. Traction of impacted and stacked maxillary anterior teeth with precise biomechanics followed by torque control using gate spring. Am J Orthod Dentofacial Orthop. 2022;162(5):763–76.
31.
go back to reference Bouton A, Simon Y, Goussard F, Teresi L, Sansalone V. New finite element study protocol: clinical simulation of orthodontic tooth movement. Int Orthod. 2017;15(2):165–79.PubMed Bouton A, Simon Y, Goussard F, Teresi L, Sansalone V. New finite element study protocol: clinical simulation of orthodontic tooth movement. Int Orthod. 2017;15(2):165–79.PubMed
32.
go back to reference Lucchese A, Manuelli M, Albertini P, Ghislanzoni LH. Transverse and torque dental changes after passive self-ligating fixed therapy: a two-year follow-up study. Am J Orthod Dentofacial Orthop. 2019;156(1):94–103.PubMed Lucchese A, Manuelli M, Albertini P, Ghislanzoni LH. Transverse and torque dental changes after passive self-ligating fixed therapy: a two-year follow-up study. Am J Orthod Dentofacial Orthop. 2019;156(1):94–103.PubMed
33.
go back to reference Zimmer B, Sino H. Coordinating bracket torque and incisor inclination. Part 3: validity of bracket torque values in achieving norm inclinations. J Orofac Orthop. 2018;79(5):320–7.PubMed Zimmer B, Sino H. Coordinating bracket torque and incisor inclination. Part 3: validity of bracket torque values in achieving norm inclinations. J Orofac Orthop. 2018;79(5):320–7.PubMed
34.
go back to reference Bi S, Guo Z, Zhang X, Shi G. Anchorage effects of ligation and direct occlusion in orthodontics: a finite element analysis. Comput Methods Programs Biomed. 2022;226: 107142.PubMed Bi S, Guo Z, Zhang X, Shi G. Anchorage effects of ligation and direct occlusion in orthodontics: a finite element analysis. Comput Methods Programs Biomed. 2022;226: 107142.PubMed
35.
go back to reference Papageorgiou SN, Sifakakis I, Keilig L, Patcas R, Affolter S, Eliades T, Bourauel C. Torque differences according to tooth morphology and bracket placement: a finite element study. Eur J Orthod. 2017;39(4):411–8.PubMed Papageorgiou SN, Sifakakis I, Keilig L, Patcas R, Affolter S, Eliades T, Bourauel C. Torque differences according to tooth morphology and bracket placement: a finite element study. Eur J Orthod. 2017;39(4):411–8.PubMed
36.
go back to reference Watanabe T, Miyazawa K, Fujiwara T, Kawaguchi M, Tabuchi M, Goto S. Insertion torque and periotest values are important factors predicting outcome after orthodontic miniscrew placement. Am J Orthod Dentof Orthop. 2017;152(4):483–8. Watanabe T, Miyazawa K, Fujiwara T, Kawaguchi M, Tabuchi M, Goto S. Insertion torque and periotest values are important factors predicting outcome after orthodontic miniscrew placement. Am J Orthod Dentof Orthop. 2017;152(4):483–8.
37.
go back to reference Magesh V, Harikrishnan P, Singh DK. Finite element analysis of slot wall deformation in stainless steel and titanium orthodontic brackets during simulated palatal root torque. Am J Orthod Dentofac Orthop Off Publ Am Assoc Orthod Const Soc Am Board Orthod. 2018;153(4):481–8. Magesh V, Harikrishnan P, Singh DK. Finite element analysis of slot wall deformation in stainless steel and titanium orthodontic brackets during simulated palatal root torque. Am J Orthod Dentofac Orthop Off Publ Am Assoc Orthod Const Soc Am Board Orthod. 2018;153(4):481–8.
38.
go back to reference Papageorgiou SN, Keilig L, Vandevska-Radunovic V, Eliades T, Bourauel C. Torque differences due to the material variation of the orthodontic appliance: a finite element study. Prog Orthod. 2017;18(1):6.PubMedPubMedCentral Papageorgiou SN, Keilig L, Vandevska-Radunovic V, Eliades T, Bourauel C. Torque differences due to the material variation of the orthodontic appliance: a finite element study. Prog Orthod. 2017;18(1):6.PubMedPubMedCentral
39.
go back to reference Cosgarea RAMSMBCGCR. Compressive stress in periodontal ligament under orthodontic movements during periodontal breakdown. Am J Orthod Dentofac Orthop. 2021;159(3):E291–9. Cosgarea RAMSMBCGCR. Compressive stress in periodontal ligament under orthodontic movements during periodontal breakdown. Am J Orthod Dentofac Orthop. 2021;159(3):E291–9.
40.
go back to reference Sehrawat S, Kumar A, Prabhakar M, Nindra J. The expanding domains of 3D printing pertaining to the speciality of orthodontics. Mater Today Proc. 2022;50:1611–8. Sehrawat S, Kumar A, Prabhakar M, Nindra J. The expanding domains of 3D printing pertaining to the speciality of orthodontics. Mater Today Proc. 2022;50:1611–8.
Metadata
Title
Efficacy of a four-curvature auxiliary arch at preventing maxillary central incisor linguoclination during orthodontic treatment: a finite element analysis
Authors
Ping-Zhu Yang
Li-Yun Bai
He-Xuan Zhang
Wen-Jun Zhao
Yu liu
Xiu-Jie Wen
Rui Liu
Publication date
01-12-2023
Publisher
BioMed Central
Published in
BMC Oral Health / Issue 1/2023
Electronic ISSN: 1472-6831
DOI
https://doi.org/10.1186/s12903-023-02833-2

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