Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion

The finite element method (FEM) is a computational method that can solve all biomechanical problems, including the field of orthodontics. The purpose of this virtual experimental study is to determine the behavior of a real orthodontic system subjected to different systems of loads. To analyze the r...

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Main Authors: Mahmoud Katta, Stelian-Mihai-Sever Petrescu, Lucian Paul Dragomir, Mihai Raul Popescu, Ruxandra Voinea Georgescu, Mihaela Jana Țuculină, Dragoș Laurențiu Popa, Alina Duță, Oana Andreea Diaconu, Ionela Teodora Dascălu
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Diagnostics
Subjects:
Online Access:https://www.mdpi.com/2075-4418/13/9/1567
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author Mahmoud Katta
Stelian-Mihai-Sever Petrescu
Lucian Paul Dragomir
Mihai Raul Popescu
Ruxandra Voinea Georgescu
Mihaela Jana Țuculină
Dragoș Laurențiu Popa
Alina Duță
Oana Andreea Diaconu
Ionela Teodora Dascălu
author_facet Mahmoud Katta
Stelian-Mihai-Sever Petrescu
Lucian Paul Dragomir
Mihai Raul Popescu
Ruxandra Voinea Georgescu
Mihaela Jana Țuculină
Dragoș Laurențiu Popa
Alina Duță
Oana Andreea Diaconu
Ionela Teodora Dascălu
author_sort Mahmoud Katta
collection DOAJ
description The finite element method (FEM) is a computational method that can solve all biomechanical problems, including the field of orthodontics. The purpose of this virtual experimental study is to determine the behavior of a real orthodontic system subjected to different systems of loads. To analyze the real orthodontic system, we studied the case of a 21-year-old female patient. We used the InVesalius program, which can transform a set of DICOM-type images taken from cone beam computed tomography (CBCT) into three-dimensional structures. These structures were edited, modified, completed, and analyzed from a geometric point of view with the help of the Geomagic software. The final result of these operations must be a three-dimensional model made up of perfectly closed surfaces so that they can be transformed into virtual solids. The model consisting of perfectly closed surfaces is loaded into computer-aided design (CAD) programs. Bracket and tube components, as well as orthodontic wires, can be added to these models, similar to the analyzed patient’s tissues. When the model is complete and geometrically correct, it is exported to a program that uses FEM, such as Ansys Workbench. The simulation was performed for the forces of 0.5, 0.6, 0.7, 0.8, 0.9, and 1 N. The intention was to determine the behavior of the entire orthodontic system for these force values. After running the simulations, result maps were obtained that were composed of displacement, strain, and stress diagrams. It was also found that, in addition to the known rigidity, the orthodontic system has some elasticity due to the orthodontic wires, as well as the periodontal ligaments. Thus, a virtual analysis study can be carried out starting from a real patient with pre-treatment CBCT images and the virtual models of the bracket and tube elements and of the orthodontic wires.
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spelling doaj.art-1c13c3821dbc45d1b6e88e7a2471c2572023-11-17T22:45:27ZengMDPI AGDiagnostics2075-44182023-04-01139156710.3390/diagnostics13091567Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 MalocclusionMahmoud Katta0Stelian-Mihai-Sever Petrescu1Lucian Paul Dragomir2Mihai Raul Popescu3Ruxandra Voinea Georgescu4Mihaela Jana Țuculină5Dragoș Laurențiu Popa6Alina Duță7Oana Andreea Diaconu8Ionela Teodora Dascălu9Department of Orthodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Orthodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Occlusology and Fixed Prosthetics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Occlusology and Fixed Prosthetics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Periodontology, Faculty of Dental Medicine, “Titu Maiorescu” University of Bucharest, 031593 Bucharest, RomaniaDepartment of Endodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Automotive, Transportation and Industrial Engineering, Faculty of Mechanics, University of Craiova, 200478 Craiova, RomaniaDepartment of Automotive, Transportation and Industrial Engineering, Faculty of Mechanics, University of Craiova, 200478 Craiova, RomaniaDepartment of Endodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaDepartment of Orthodontics, Faculty of Dental Medicine, University of Medicine and Pharmacy of Craiova, 200349 Craiova, RomaniaThe finite element method (FEM) is a computational method that can solve all biomechanical problems, including the field of orthodontics. The purpose of this virtual experimental study is to determine the behavior of a real orthodontic system subjected to different systems of loads. To analyze the real orthodontic system, we studied the case of a 21-year-old female patient. We used the InVesalius program, which can transform a set of DICOM-type images taken from cone beam computed tomography (CBCT) into three-dimensional structures. These structures were edited, modified, completed, and analyzed from a geometric point of view with the help of the Geomagic software. The final result of these operations must be a three-dimensional model made up of perfectly closed surfaces so that they can be transformed into virtual solids. The model consisting of perfectly closed surfaces is loaded into computer-aided design (CAD) programs. Bracket and tube components, as well as orthodontic wires, can be added to these models, similar to the analyzed patient’s tissues. When the model is complete and geometrically correct, it is exported to a program that uses FEM, such as Ansys Workbench. The simulation was performed for the forces of 0.5, 0.6, 0.7, 0.8, 0.9, and 1 N. The intention was to determine the behavior of the entire orthodontic system for these force values. After running the simulations, result maps were obtained that were composed of displacement, strain, and stress diagrams. It was also found that, in addition to the known rigidity, the orthodontic system has some elasticity due to the orthodontic wires, as well as the periodontal ligaments. Thus, a virtual analysis study can be carried out starting from a real patient with pre-treatment CBCT images and the virtual models of the bracket and tube elements and of the orthodontic wires.https://www.mdpi.com/2075-4418/13/9/1567malocclusionfinite element methodorthodontic systemperiodontal ligamentresult maps
spellingShingle Mahmoud Katta
Stelian-Mihai-Sever Petrescu
Lucian Paul Dragomir
Mihai Raul Popescu
Ruxandra Voinea Georgescu
Mihaela Jana Țuculină
Dragoș Laurențiu Popa
Alina Duță
Oana Andreea Diaconu
Ionela Teodora Dascălu
Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
Diagnostics
malocclusion
finite element method
orthodontic system
periodontal ligament
result maps
title Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
title_full Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
title_fullStr Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
title_full_unstemmed Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
title_short Using the Finite Element Method to Determine the Odonto-Periodontal Stress for a Patient with Angle Class II Division 1 Malocclusion
title_sort using the finite element method to determine the odonto periodontal stress for a patient with angle class ii division 1 malocclusion
topic malocclusion
finite element method
orthodontic system
periodontal ligament
result maps
url https://www.mdpi.com/2075-4418/13/9/1567
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