Comparison of methods to determine the centre of resistance of teeth

Abstract

In orthodontic treatment, the locations of the centre of resistance (CR) of individual teeth and the applied load system are the major determinants for the type of tooth movement achieved. Currently, CR locations have only been specified for a relatively small number of tooth specimen for research purposes. Analysing cone beam computed tomography data samples from three upper central incisors, this study explores whether the effort to establish accurate CR estimates can be reduced by (i) morphing a pre-existing simplified finite element (FE) mesh to fit to the segmented 3D tooth-bone model, and (ii) individualizing a mean CR location according to a small parameter set characterising the morphology of the tooth and its embedding. The FE morphing approach and the semi-analytical approach led to CR estimates that differ in average only 0.04 and 0.12 mm respectively from those determined by very time-consuming individual FE modelling (standard method). Both approaches may help to estimate the movement of individual teeth during orthodontic treatment and, thus, increase the therapeutic efficacy.

Keywords:

• Centre of resistance
• orthodontic tooth movement
• finite element method
• simplified semi-analytical method
• mesh morphing
• mesh warping

Notes

No potential conflict of interest was reported by the author.

Parts of this work were presented at the 9th Annual Meeting of the German Society for Biomechanics (Bonn, Germany, 2015).