Mathematical argumentation of bracket position at the region of miniimplant to provide corpus orthodontic tooth movement
DOI:
https://doi.org/10.11603/2311-9624.2015.3_4.6303Abstract
The article is based on a analysis of mathematical model and physical argumentation of position for fixing brackets on miniimplant body for corpus moving while maintaining variational principles of biomechanical processes of orthodontic treatment. Due to the analysis of mathematical models, it was proved that the implementation of minimum displacement and maximum tilt movement of axis O1 approached to the side of the implant is ensured by highest bracket fixation as high as possible, as it can be achieved due to the implant itself. Search and reasoning of such dependencies of the mini implants use allow objective assessment of prognosis of treatment with controlled movement of teeth and reduce risks during the orthodontic intervention.
Key words: miniimplant, corpus moving, mathematical model.
References
Baumgaertel S. Cortical bone thickness and bone depth of the posterior palatal alveolar process for mini-implant insertion in adults / S. Baumgaertel //American Journal of Orthodontics and Dentofacial Orthopedics. – 2011. – Vol. 140. – №. 6. – R. 806–811.
Chatzigianni A. Experimental and numerical analysis of the biomechanical characteristics of orthodontic mini-implants / A. Chatzigianni // Bonn: University of Bonn. – 2010.
En-masse Retraction of the Maxillary Anterior Teeth by Applying Force from Four Different Levels–A Finite Element Study / S. Chetan, K. M. Keluskar, V. N. Vasisht, S. Revankar // Journal of clinical and diagnostic research: JCDR. – 2014. – Vol. 8. – №. 9. – R. ZC26.
George A. M. Biomechanical Variations of Mini-implant Placement: A Clinical Insight / A. M. George // Journal of Indian Orthodontic Society. – 2012. – Vol. 46. – №. 2.
Ghislanzoni L. T. H. Upper molar distalization on palatal miniscrews: an easy to manage palatal appliance / L. T. H. Ghislanzoni, C. Piepoli // Progress in orthodontics. – 2012. – Vol. 13. – №. 1. – P. 78–83.
Rastogi N. The role of implants in orthodontics / N. Rastogi, D. Kumar, A. Bansal // Journal of Dental Implants. – 2011. – Vol. 1. – №. 2. – P. 86.
Reynders R., Mini-implants in orthodontics: a systematic review of the literature / R. Reynders, L. Ronchi, S. Bipat // American Journal of Orthodontics and Dentofacial Orthopedics. – 2009. – Vol. 135. – №. 5. – P. 564.
Potapchuk A. M. Zastosuvannia skeletnoi opory na mini-implantaty pry likuvanni zuboshchelepnykh anomalii (ohliad literatury) / A. M. Potapchuk, O. Yu. Rivis // Visnyk stomatolohii. – 2013. – № 3. – S. 100–102.
Analiz biomekhanichnykh kharakterystyk ortodontychnykh mini-implantativ pry riznykh sylovykh navantazhenniakh / A. M. Potapchuk, O. Iu. Rivis, M. H. Kryshchuk, O. M. Mishchenko // Novyny stomatolohii. – 2014. – № 1. – S. 58–64.
