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The European Journal of Orthodontics Advance Access published online on February 22, 2007
The European Journal of Orthodontics, doi:10.1093/ejo/cjl086
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© The Author 2007. Published by Oxford University Press on behalf of the European Orthodontic Society. All rights reserved. For permissions, please email: journals.permissions@oxfordjournals.org.

Biomechanical finite-element investigation of the position of the centre of resistance of the upper incisors

S Reimann, L Keilig, A Jäger and Christoph Bourauel

Department of Orthodontics, University of Bonn, Germany

Address for correspondence Christoph Bourauel, Department of Orthodontics, University of Bonn, Welschnonnenstrasse 17, 53111 Bonn, Germany, E-mail: bourauel{at}uni-bonn.de


  Abstract

The position of the centre of resistance (CR) is an essential parameter regarding the planning of orthodontic tooth movements. In the present investigation, the combined CR of the upper four incisors was determined numerically using the finite-element (FE) method.

Based on a commercially available three-dimensional data set of a maxilla, including all 16 teeth, as well as known and earlier determined material parameters, FE models of the upper incisors and their surrounding tooth-supporting structures were generated. In the FE system, the model of the anterior segment was loaded with torques of 10 Nmm each at the lateral incisors.

The FE model indicated that the individual incisors moved independently, although they were blocked with a steel wire of dimension 0.46 x 0.65 mm2. The individual CRs were located at 5 mm distal and 9 and 12 mm apical to the centre of the lateral brackets. Thus, the classical view of a combined CR for the anterior segment was disproved and the planning of orthodontic tooth movements of the upper incisors should no longer be based on that concept.


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