An Approach for a Mathematical Description of Human Root Canals by Means of Elementary Parameters
| Autor: | Marie-Theres Weber, Niels Modler, Jasmin Kirsch, Christian Hannig, Martin Dannemann, Alexander Binkowski, Michael Kucher |
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| Rok vydání: | 2017 |
| Předmět: |
0301 basic medicine
Quantitative Biology::Tissues and Organs Root canal Instrumentation Root (chord) Geometry Curvature 03 medical and health sciences Cross section (physics) 0302 clinical medicine medicine Humans General Dentistry Mathematics Models Statistical Tomographic reconstruction Mathematical model X-Ray Microtomography 030206 dentistry Molar 030104 developmental biology medicine.anatomical_structure Parametric model sense organs Dental Pulp Cavity Algorithms |
| Zdroj: | Journal of Endodontics. 43:536-543 |
| ISSN: | 0099-2399 |
| DOI: | 10.1016/j.joen.2016.11.011 |
| Popis: | Introduction Root canal geometry is an important factor for instrumentation and preparation of the canals. Curvature, length, shape, and ramifications need to be evaluated in advance to enhance the success of the treatment. Therefore, the present study aimed to design and realize a method for analyzing the geometric characteristics of human root canals. Methods Two extracted human lower molars were radiographed in the occlusal direction using micro–computed tomographic imaging. The 3-dimensional geometry of the root canals, calculated by a self-implemented image evaluation algorithm, was described by 3 different mathematical models: the elliptical model, the 1-circle model, and the 3-circle model. Results The different applied mathematical models obtained similar geometric properties depending on the parametric model used. Considering more complex root canals, the differences of the results increase because of the different adaptability and the better approximation of the geometry. Conclusions With the presented approach, it is possible to estimate and compare the geometry of natural root canals. Therefore, the deviation of the canal can be assessed, which is important for the choice of taper of root canal instruments. Root canals with a nearly elliptical cross section are reasonably approximated by the elliptical model, whereas the 3-circle model obtains a good agreement for curved shapes. |
| Databáze: | OpenAIRE |
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