Skip to main content

Advertisement

SpringerLink
Log in

Computer aided modelling to simulate the biomechanical behaviour of customised orthodontic removable appliances

  • Original Paper
  • Published:
International Journal on Interactive Design and Manufacturing (IJIDeM) Aims and scope Submit manuscript

Abstract

In the field of orthodontics, the use of Removable Thermoplastic Appliances (RTAs) to treat moderate malocclusion problems is progressively replacing traditional fixed brackets. Generally, these orthodontic devices are designed on the basis of individual anatomies and customised requirements. However, many elements may affect the effectiveness of a RTA-based therapy: accuracies of anatomical reference models, clinical treatment strategies, shape features and mechanical properties of the appliances. In this paper, a numerical model for customised orthodontic treatments planning is proposed by means of the finite element method. The model integrates individual patient’s teeth, periodontal ligaments, bone tissue with structural and geometrical attributes of the appliances. The anatomical tissues are reconstructed by a multi-modality imaging technique, which combines 3D data obtained by an optical scanner (visible tissues) and a computerised tomography system (internal tissues). The mechanical interactions between anatomical shapes and appliance models are simulated through finite element analyses. The numerical approach allows a dental technician to predict how the RTA attributes affect tooth movements. In this work, treatments considering rotation movements for a maxillary incisor and a maxillary canine have been analysed by using multi-tooth models.

Graphical Abstract

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15
Fig. 16

Similar content being viewed by others

References

  1. Boyd, R.L., Waskalic, V.: Three-dimensional diagnosis andorthodontic treatment of complex malocclusions with the invisalign appliance. Seminars Orthodontics 7(4), 274–293 (2001)

    Article  Google Scholar 

  2. Kesling, H.D.: The philosophy of the tooth positioning appliance. Am. J. Orthodontics Or. Surg. 31(6), 297–304 (1945). doi:10.1016/0096-6347(45)90101-3

    Article  Google Scholar 

  3. 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 

  4. 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 

  5. Wong, B.H.: Invisalign A to Z. Am. J. Orthod. Dentofac. Orthop. 121(5), 540–541 (2002). doi:10.1067/mod.2002.123036

    Article  Google Scholar 

  6. Padmawar, S., Belludi, A., Bhardwaj, A., Vadvadgi, V., Saini, R.: Study of stress distribution in maxillary anterior region during true intrusion of maxillary incisors using finite element methodology. Int. J. Exp. Dent.Sci. 1(2), 89–92 (2012)

    Article  Google Scholar 

  7. Penedo, N.D., Elias, C.N., Pacheco, M.C.T.: Gouvêa, J.P.d.: 3D simulation of orthodontic tooth movement. Dental Press. J. Orthodontics 15, 98–108 (2010)

    Google Scholar 

  8. Field, C., Ichim, I., Swain, M.V., Chan, E., Darendeliler, M.A., Li, W., Li, Q.: Mechanical responses to orthodontic loading: a 3-dimensional finite element multi-tooth model. Am. j. orthodontics dentofac. orthopedics: off. publ. Am. Association Orthodontists constituent societies Am. Board Orthodontics 135(2), 174–181 (2009). doi:10.1016/j.ajodo.2007.03.032

    Article  Google Scholar 

  9. Cattaneo, P.M., Dalstra, M., Melsen, B.: Strains in periodontal ligament and alveolar bone associated with orthodontic tooth movement analyzed by finite element. Orthodontics Craniofacial Res. 12(2), 120–128 (2009). doi:10.1111/j.1601-6343.2009.01445.x

    Article  Google Scholar 

  10. Nakajima, A., Murata, M., Tanaka, E., Arai, Y., Fukase, Y., Nishi, Y., Sameshima, G., Shimizu, N.: Development of three-dimensional FE modeling system from the limited cone beam CT images for orthodontic tipping tooth movement. Dent. Mater. J. 26(6), 882–891 (2007)

    Article  Google Scholar 

  11. 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 

  12. 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 

  13. Natali, A.N., Pavan, P.G., Scarpa, C.: Numerical analysis of tooth mobility: formulation of a non-linear constitutive law for the periodontal ligament. Dent. Mater. 20(7), 623–629 (2004). doi:10.1016/j.dental.2003.08.003

    Article  Google Scholar 

  14. Viecilli, R.F., Katona, T.R., Chen, J., Hartsfield, J.K., Roberts, W.E.: Three-dimensional mechanical environment of orthodontic tooth movement and root resorption. Am. J. Orthod. Dentofac. Orthop. 133(6), (2008). doi:10.1016/j.ajodo.2007.11.023

  15. 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), (2009). doi:10.1016/j.ajodo.2008.12.015

  16. Hahn, W., Engelke, B., Jung, K., Dathe, H., Fialka-Fricke, J., Kubein-Meesenburg, D., Sadat-Khonsari, R.: Initial forces and moments delivered by removable thermoplastic appliances during rotation of an upper central incisor. Angle Orthod. 80(2), 239–246 (2010). doi:10.2319/033009-181.1

  17. Hahn, W., Fialka-Fricke, J., Dathe, H., Fricke-Zech, S., Zapf, A., Gruber, R., Kubein-Meesenburg, D., Sadat-Khonsari, R.: Initial forces generated by three types of thermoplastic appliances on an upper central incisor during tipping. Eur. J. Orthodont. 31(6), 625–631 (2009). doi:10.1093/Ejo/Cjp047

    Article  Google Scholar 

  18. Barbagallo, L.J., Shen, G., Jones, A.S., Swain, M.V., Petocz, P., Darendeliler, M.A.: A novel pressure film approach for determining the force imparted by clear removable thermoplastic appliances. Ann. Biomed. Eng. 36(2), 335–341 (2008). doi:10.1007/s10439-007-9424-5

    Article  Google Scholar 

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

    Article  Google Scholar 

  20. Kohda, N., Iijima, M., Muguruma, T., Brantley, W.A., Ahluwalia, K.S., Mizoguchi, I.: Effects of mechanical properties of thermoplastic materials on the initial force of thermoplastic appliances. Angle Orthod. 83(3), 476–483 (2013). doi:10.2319/052512-432.1

    Article  Google Scholar 

  21. Martorelli, M., Gerbino, S., Giudice, M., Ausiello, P.: A comparison between customized clear and removable orthodontic appliances manufactured using RP and CNC techniques. Dent. Mater. 29(2), E1–E10 (2013). doi:10.1016/j.dental.2012.10.011

    Article  Google Scholar 

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

    Article  Google Scholar 

  23. 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 

  24. 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 

  25. Borak, L., Florian, Z., Bartakova, S., Prachar, P., Murakami, N., Ona, M., Igarashi, Y., Wakabayashi, N.: Bilinear elastic property of the periodontal ligament for simulation using a finite element mandible model. Dent. Mater. J. 30(4), 448–454 (2011). doi:10.4012/Dmj.2010-170

    Article  Google Scholar 

  26. Su, M.Z., Chang, H.H., Chiang, Y.C., Cheng, J.H., Fuh, L.J., Wang, C.Y., Lin, C.P.: Modeling viscoelastic behavior of periodontal ligament with nonlinear finite element analysis. J. Dent. Sci. 8(2), 121–128 (2013). doi:10.1016/j.jds.2013.01.001

    Article  Google Scholar 

  27. Ross, G.G., Lear, C.S., DeCou, R.: Modeling the lateral movement of teeth. J. Biomech. 9(11), 723–734 (1976). doi:10.1016/0021-9290(76)90174-3

    Article  Google Scholar 

  28. Kravitz, N.D., Kusnoto, B., Agran, B., Viana, G.: Influence of attachments and interproximal reduction on the accuracy of canine rotation with invisalign - A prospective clinical study. Angle Orthod. 78(4), 682–687 (2008). doi:10.2319/060107-263

    Article  Google Scholar 

  29. 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

  30. Drake, C.T., McGorray, S.P., Dolce, C., Nair, M., Wheeler, T.T.: Orthodontic tooth movement with clear aligners. ISRN Dentistry 2012, 7 (2012). doi:10.5402/2012/657973

  31. Pei, Y.R., Shi, F.H., Chen, H., Wei, J., Zha, H.B., Jiang, R.P., Xu, T.M.: Personalized Tooth Shape Estimation From Radiograph and Cast. Ieee T. BioMed. Eng. 59(9), 2400–2411 (2012). doi:10.1109/Tbme.2011.2174993

    Article  Google Scholar 

  32. Barone, S., Paoli, A., Razionale, A.: Customised 3D Tooth Modeling by Minimally Invasive Imaging Modalities. In: SCITEPRESS (ed.) Proc. of 7th International Joint Conference on Biomedical Engineering Systems and Technologies (BIOSTEC 2014), Eseo, Angers, Loire Valley, France, 3–6 March 2014, pp. 70–75. doi: 10.5220/0004912400700075

Download references

Author information

Authors and Affiliations

  1. Department of Civil and Industrial Engineering, University of Pisa, Largo Lucio Lazzarino, n.1, 56126, Pisa, Italy

    S. Barone, A. Paoli, A. V. Razionale & R. Savignano

Authors
  1. S. Barone
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. Paoli
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. V. Razionale
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. R. Savignano
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. Paoli.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Barone, S., Paoli, A., Razionale, A.V. et al. Computer aided modelling to simulate the biomechanical behaviour of customised orthodontic removable appliances. Int J Interact Des Manuf 10, 387–400 (2016). https://doi.org/10.1007/s12008-014-0246-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12008-014-0246-z

Keywords

Search

Navigation