An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model
Orthodontic tooth movement is of interest to both the medical and the engineering communities. Recent studies focused their attention mainly on the stress distribution within the periodontal ligament and the surrounding alveolar bone prior to the remodeling stage. Yet, although motion is indeed trig...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-04-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/13/8/5013 |
| _version_ | 1797606486031990784 |
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| author | Shai Yona Oded Medina Rachel Sarig Nir Shvalb |
| author_facet | Shai Yona Oded Medina Rachel Sarig Nir Shvalb |
| author_sort | Shai Yona |
| collection | DOAJ |
| description | Orthodontic tooth movement is of interest to both the medical and the engineering communities. Recent studies focused their attention mainly on the stress distribution within the periodontal ligament and the surrounding alveolar bone prior to the remodeling stage. Yet, although motion is indeed triggered by the exerted stress distribution, these remodeling processes are the main driver for significant (and permanent) tooth movements. Other studies attempted to provide such a holistic mechanical model for both the stress distribution and the remodeling processes to describe the movement of the tooth along an orthodontic treatment. Nevertheless, these methods are cumbersome and slow to run, and therefore, are unlikely to provide a clinical decision support platform. This paper aims to bridge this gap by providing a relaxed, simplified numerical model. The scheme is described, and its limitations and main assumptions are stated. The model is then optimized to accommodate clinical accuracy needs. Lastly, validation is provided by comparing the model to a recent study, which demonstrates the good agreement between the model and actual real-world clinical cases. |
| first_indexed | 2024-03-11T05:15:52Z |
| format | Article |
| id | doaj.art-4deb564c19184abc81a2cf3afef7c0e1 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T05:15:52Z |
| publishDate | 2023-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-4deb564c19184abc81a2cf3afef7c0e12023-11-17T18:12:26ZengMDPI AGApplied Sciences2076-34172023-04-01138501310.3390/app13085013An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical ModelShai Yona0Oded Medina1Rachel Sarig2Nir Shvalb3The Department of Industrial Engineering, Faculty of Engineering, Ariel University, Ariel 4070000, IsraelThe Department of Mechanical Engineering, Faculty of Engineering, Ariel University, Ariel 4070000, IsraelThe Department of Oral Biology, The Department of Orthodontics, Maurice and Gabriela Goldschleger, School of Dental Medicine, Sackler Faculty of Medicine, Tel Aviv University, Tel Aviv 6997801, IsraelThe Department of Mechanical Engineering, Faculty of Engineering, Ariel University, Ariel 4070000, IsraelOrthodontic tooth movement is of interest to both the medical and the engineering communities. Recent studies focused their attention mainly on the stress distribution within the periodontal ligament and the surrounding alveolar bone prior to the remodeling stage. Yet, although motion is indeed triggered by the exerted stress distribution, these remodeling processes are the main driver for significant (and permanent) tooth movements. Other studies attempted to provide such a holistic mechanical model for both the stress distribution and the remodeling processes to describe the movement of the tooth along an orthodontic treatment. Nevertheless, these methods are cumbersome and slow to run, and therefore, are unlikely to provide a clinical decision support platform. This paper aims to bridge this gap by providing a relaxed, simplified numerical model. The scheme is described, and its limitations and main assumptions are stated. The model is then optimized to accommodate clinical accuracy needs. Lastly, validation is provided by comparing the model to a recent study, which demonstrates the good agreement between the model and actual real-world clinical cases.https://www.mdpi.com/2076-3417/13/8/5013dentistrytooth movementperiodontal ligament (PDL)toothorthodonticremodeling |
| spellingShingle | Shai Yona Oded Medina Rachel Sarig Nir Shvalb An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model Applied Sciences dentistry tooth movement periodontal ligament (PDL) tooth orthodontic remodeling |
| title | An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model |
| title_full | An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model |
| title_fullStr | An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model |
| title_full_unstemmed | An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model |
| title_short | An Efficient Spring Model for an Integrated Orthodontic Tooth Movement: A Verified Mathematical Model |
| title_sort | efficient spring model for an integrated orthodontic tooth movement a verified mathematical model |
| topic | dentistry tooth movement periodontal ligament (PDL) tooth orthodontic remodeling |
| url | https://www.mdpi.com/2076-3417/13/8/5013 |
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