Skip to main content

Modelling Strategies for the Advanced Design of Polymeric Orthodontic Aligners

  • Conference paper
  • First Online:
Biomedical Engineering Systems and Technologies (BIOSTEC 2016)

Abstract

In the last decade, orthodontic removable thermoplastic aligners have become a common alternative to conventional fixed brackets and wires. However, the wide spread of this typology of orthodontic treatment was not followed by an adequate scientific investigation about its biomechanical effects onto the teeth. In the present work, a patient-specific framework has been developed with the aim of simulating orthodontic tooth movements by using plastic aligners. A maxillary and a mandibular dental arch were reconstructed by combining optical and radiographic imaging methods. A Finite Element (FE) model was then created to analyze two different aligner configurations. In particular, the effect of a non-uniform aligner’s thickness and of a customized initial offset between the aligner and the patient dentition were studied. The force-moment systems delivered by the aligner to a mandibular central incisor during labiolingual tipping, and to a maxillary central incisor during rotation were analyzed and discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Boyd, R.L.: Esthetic orthodontic treatment using the invisalign appliance for moderate to complex malocclusions. J. Dent. Educ. 72(8), 948–967 (2008)

    Google Scholar 

  2. Beers, A.C., Choi, W., Pavlovskaia, E.: Computer-assisted treatment planning and analysis. Orthod. Craniofac. Res. 6(Suppl. 1), 117–125 (2003)

    Article  Google Scholar 

  3. Farah, J.W., Craig, R.G., Sikarski, D.L.: Photoelastic and finite-element stress analysis of a restored axisymmetric first molar. J. Biomech. 6(5), 511–520 (1973). doi:10.1016/0021-9290(73)90009-2

    Article  Google Scholar 

  4. Cai, Y.Q., Yang, X.X., He, B.W., Yao, J.: Finite element method analysis of the periodontal ligament in mandibular canine movement with transparent tooth correction treatment. BMC Oral Health 15, 106 (2015). doi:10.1186/s12903-015-0091-x

    Article  Google Scholar 

  5. Gomez, J.P., Pena, F.M., Martinez, 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. 85(3), 454–460 (2015). doi:10.2319/050714-330.1

    Article  Google Scholar 

  6. Savignano, R., Barone, S., Paoli, A., Razionale, A.V.: FEM analysis of bone-ligaments-tooth models for biomechanical simulation of individual orthodontic devices. In: 34th Computers and Information in Engineering Conference, Buffalo, New York, USA, 17–20 August 2014, p. V01AT02A081. ASME (2014)

    Google Scholar 

  7. Hahn, W., Dathe, H., Fialka-Fricke, J., Fricke-Zech, S., Zapf, A., Kubein-Meesenburg, D., Sadat-Khonsari, R.: Influence of thermoplastic appliance thickness on the magnitude of force delivered to a maxillary central incisor during tipping. Am. J. Orthod. Dentofac. Orthop. 136(1), 12.e11–12.e17 (2009). doi:10.1016/j.ajodo.2008.12.015

  8. Kwon, J.S., Lee, Y.K., Lim, B.S., Lim, Y.K.: Force delivery properties of thermoplastic orthodontic materials. Am. J. Orthod. Dentofac. Orthop. 133(2), 228–234 (2008). doi:10.1016/j.ajodo.2006.03.034

    Article  Google Scholar 

  9. Barone, S., Paoli, A., Razionale, A.V.: Computer-aided modelling of three-dimensional maxillofacial tissues through multi-modal imaging. Proc. Inst. Mech. Eng. H: J. Eng. Med. 227(2), 89–104 (2013). doi:10.1177/0954411912463869

    Article  Google Scholar 

  10. 3DSlicer: A multi-platform, free and open-source software package for visualization and medical image computing (2016). http://www.slicer.org/. Accessed 20 Apr 2016

  11. Barone, S., Paoli, A., Razionale, A.V.: CT segmentation of dental shapes by anatomy-driven reformation imaging and B-spline modelling. Int. J. Numer. Meth. Biomed. Eng. 32(6), e02747 (2016). doi:10.1002/cnm.2747

    Article  Google Scholar 

  12. Barone, S., Paoli, A., Razionale, A.: Creation of 3D multi-body orthodontic models by using independent imaging sensors. Sensors 13(2), 2033–2050 (2013). doi:10.3390/s130202033

    Article  Google Scholar 

  13. Kazhdan, M., Bolitho, M., Hoppe, H.: Poisson surface reconstruction. In: Proceedings of the Fourth Eurographics Symposium on Geometry Processing, Cagliari, Sardinia, Italy, pp. 61–70. Eurographics Association (2006). http://dl.acm.org/citation.cfm?id=1281957.1281965

  14. Dorow, C., Schneider, J., Sander, F.G.: Finite element simulation of in vivo tooth mobility in comparison with experimental results. J Mech. Med. Biol. 3(1), 79–94 (2003). doi:10.1142/S0219519403000661

    Article  Google Scholar 

  15. Liu, Y., Ru, N., Chen, J., Liu, S.S.-Y., Peng, W.: Finite element modeling for orthodontic biomechanical simulation based on reverse engineering: a case study. Res. J. Appl. Sci. Eng. Technol. 6(17), 3267–3276 (2013)

    Google Scholar 

  16. 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. 10(4), 387–400 (2016). doi:10.1007/s12008-014-0246-z

    Article  Google Scholar 

  17. Ryokawa, H., Miyazaki, Y., Fujishima, A., Miyazaki, T., Maki, K.: The mechanical properties of dental thermoplastic materials in a simulated intraoral environment. Orthod. Waves 65(2), 64–72 (2006). http://dx.doi.org/10.1016/j.odw.2006.03.003

  18. Penedo, N.D., Elias, C.N., Pacheco, M.C.T., de Gouvêa, J.P.: 3D simulation of orthodontic tooth movement. Dent. Press J. Orthod. 15, 98–108 (2010)

    Google Scholar 

  19. Fill, T.S., Toogood, R.W., Major, P.W., Carey, J.P.: Analytically determined mechanical properties of, and models for the periodontal ligament: critical review of literature. J. Biomech. 45(1), 9–16 (2012). doi:10.1016/j.jbiomech.2011.09.020

    Article  Google Scholar 

  20. Cattaneo, P.M., Dalstra, M., Melsen, B.: The finite element method: a tool to study orthodontic tooth movement. J. Dent. Res. 84(5), 428–433 (2005)

    Article  Google Scholar 

  21. Viecilli, R.F., Budiman, A., Burstone, C.J.: Axes of resistance for tooth movement: does the center of resistance exist in 3-dimensional space? Am. J. Orthod. Dentofac. Orthop. 143(2), 163–172 (2013). doi:10.1016/j.ajodo.2012.09.010

    Article  Google Scholar 

  22. Di Angelo, L., Di Stefano, P., Bernardi, S., Continenza, M.A.: A new computational method for automatic dental measurement: the case of maxillary central incisor. Comput. Biol. Med. 70, 202–209 (2016). doi:10.1016/j.compbiomed.2016.01.018

    Article  Google Scholar 

  23. Savignano, R., Viecilli, R., Paoli, A., Razionale, A.V., Barone, S.: Nonlinear dependency of tooth movement on force system directions. Am. J. Orthod. Dentofac. Orthop. 149(6), 838–846 (2016). doi:10.1016/j.ajodo.2015.11.025

    Article  Google Scholar 

  24. Kravitz, N.D., Kusnoto, B., BeGole, E., Obrez, A., Agran, B.: How well does invisalign work? A prospective clinical study evaluating the efficacy of tooth movement with invisalign. Am. J. Orthod. Dentofac. Orthop. 135(1), 27–35 (2009). doi:10.1016/j.ajodo.2007.05.018

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Alessandro Paoli .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this paper

Cite this paper

Barone, S., Paoli, A., Razionale, A.V., Savignano, R. (2017). Modelling Strategies for the Advanced Design of Polymeric Orthodontic Aligners. In: Fred, A., Gamboa, H. (eds) Biomedical Engineering Systems and Technologies. BIOSTEC 2016. Communications in Computer and Information Science, vol 690. Springer, Cham. https://doi.org/10.1007/978-3-319-54717-6_5

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-54717-6_5

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-54716-9

  • Online ISBN: 978-3-319-54717-6

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics