Modeling and Simulation of an Orthodontic Process

Abstract:

The paper presents an original solution for the mathematical modeling and simulation of an orthodontic process. The orthodontic process is treated as a distributed parameter, its model being expressed using a partial differential equation, respectively the tooth movement is represented as the approximating analytical solution which verifies the mentioned equation. In order to prove the model usability, some interesting simulations are shown in the paper. The obtained model can be numerically simulated using a software application and the simulation results can be used in order to assist the dentist to establish the orthodontic treatment parameters (at the start of the treatment and during the treatment, too; for example the initial force which has to be applied, respectively its ulterior value adjustments).

• Periodical: Applied Mechanics and Materials (Volume 811)
• Pages: 365-370
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.811.365
• Online since: November 2015
• Authors: Olimpia Nemeş*, Vlad Mureşan, Tiberiu Coloşi
• Keywords: Analytical Approximating Solution, Mathematical Modeling, Orthodontic Process, Partial Differential Equation, Simulation, Tooth

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