Three-dimensional modeling and finite element analysis in treatment planning for orthodontic tooth movement

Ammar, H.H.; Ngan, Peter; Crout, Richard J.; Mucino, Victor H.; Mukdadi, Osama M.

doi:10.1016/j.ajodo.2010.09.020

Cited by 147 publications

(104 citation statements)

References 33 publications

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“…In reality, the PDL is likely to react after the force was exerted to the bracket and transmit the force to the alveolar bone, resulting in bone resorption and apposition [21]. Hence, the tooth movement is associated with the material properties of the PDL.…”

Section: Methodsmentioning

confidence: 99%

“…Due to the elastic modulus of the tooth and bone are 1000-3000 times of the PDL, the variation of material property settings for them have a minimal effect on the FE result of the PDL. All the materials except the PDL are assumed to be linear elastic and homogeneous for the analyses as acceptability in existing literature [21]. The parameter of material properties are obtained from published data [22,23] as list in Table 2.…”

Section: Methodsmentioning

confidence: 99%

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Analysis of the influences of bracket and force system in different directions on the moment to force ratio by finite element method

Tang

2018

J Wireless Com Network

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The human teeth face a variety of ways to move during orthodontic treatment. The types of orthodontic tooth movements have linked to the moment to force (M/F) ratio. This paper aims to determine the precise M/F ratios that generate different types of movements for the models with and without bracket, and the M/F ratios are compared between the force systems applied in buccal-lingual and distal-mesial direction for the mandible canine by using finite element method (FEM). A segment of mandible canine obtained from autopsy had been scanned with microcomputed tomography, and two finite element models with and without brackets were established. Each canine model was subjected to a force of 100 cN and varied M/F ratios from 0~12 in buccal-lingual and distal-mesial directions. We find that the model with a bracket required larger M/F ratio compared to the model without a bracket for the same tooth movement. For the different directions, the value of M/F ratio is larger in the buccal-lingual than in the distal-mesial direction. The geometry of the tooth and the PDL are gained from a regular patient. Therefore, the results are applicable to any canine, and the precise M/F values provide a theoretical basis for the orthodontist design optimal force system.

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Section: Methodsmentioning

confidence: 99%

Section: Methodsmentioning

confidence: 99%

Analysis of the influences of bracket and force system in different directions on the moment to force ratio by finite element method

Tang

2018

J Wireless Com Network

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“…For this, a total of 32 simulations were prepared for processing. Each part of the assembly was given appropriate material properties as adopted in previous studies 14,15 (Table 1). Homogeneity, isotropy, and linear elasticity were assumed for both the OMI and bone, and a friction coefficient of 0.3 16,17 between the microimplant and both cortical and cancellous parts was assigned, while contact between the latter two parts was assigned as an intimate with no friction.…”

Section: Methodsmentioning

confidence: 99%

Optimal force magnitude loaded to orthodontic microimplants: A finite element analysis

Alrbata

Momani

Al-Tarawneh

et al. 2015

The Angle Orthodontist

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Objective: To find an optimal force that can be loaded onto an orthodontic microimplant to fulfill the biomechanical demands of orthodontic treatment without diminishing the stability of the microimplant. Materials and Methods: Using the finite element analysis method, 3-D computer-aided design models of a microimplant and four cylindrical bone pieces (incorporating cortical bone thicknesses of 0.5, 1.2, 2.0, and 3.0 mm) into which the microimplant was inserted were used. Various force magnitudes of 0.5, 1.0, 1.5, 2.0, 2.5, 3.0, 3.5, and 4.0 N were then horizontally and separately applied to the microimplant head as inserted into the different bone assemblies. For each bone/ force assembly tested, peak stresses developed at areas of intimate contact with the microimplant along the force direction were then calculated using regression analysis and compared with a threshold value at which pathologic bone resorption might develop. Results: The resulting peak stresses showed that bone pieces with thicker cortical bone tolerated higher force magnitudes better than did thinner ones. For cortical bone thicknesses of 0.5, 1.2, 2.0, and 3.0 mm, the maximum force magnitudes that could be applied safely were 3.75, 4.1, 4.3, and 4.45 N, respectively. Conclusions: For the purpose of diminishing orthodontic microimplant failure, an optimal force that can be safely loaded onto a microimplant should not exceed a value of around 3. 75-4.5 N. (Angle Orthod. 2016;86:221-226.)

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“…The biomechanical aspects play an important role in the techniques related to implants in bones and many research have been per-formed, in particular by using experimental investigations and by developing computational mechanical models for understanding the aging and the implants stability as a function of the geometric shape and of the dimensions of implants (see for instance [2,4,9,17,19,32,37] and also [44,49,58,60,71,78,92,95]). Design optimization of implants in bone at macroscale by using deterministic computational models has also received increased attention (see for instance [36,43,50,53,56,74]).…”

Section: Design Optimization Of Implants In Bonementioning

confidence: 99%

Design optimization under uncertainties of a mesoscale implant in biological tissues using a probabilistic learning algorithm

Soize

2017

Comput Mech

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This paper deals with the optimal design of a titanium mesoscale implant in a cortical bone for which the apparent elasticity tensor is modeled by a non-Gaussian random field at mesoscale, which has been experimentally identified. The external applied forces are also random. The design parameters are geometrical dimensions related to the geometry of the implant. The stochastic elastostatic boundary value problem is discretized by the finite element method. The objective function and the constraints are related to normal, shear, and von Mises stresses inside the cortical bone. The constrained nonconvex optimization problem in presence of uncertainties is solved by using a probabilistic learning algorithm that allows for considerably reducing the numerical cost with respect to the classical approaches.

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Three-dimensional modeling and finite element analysis in treatment planning for orthodontic tooth movement

Cited by 147 publications

References 33 publications

Analysis of the influences of bracket and force system in different directions on the moment to force ratio by finite element method

Analysis of the influences of bracket and force system in different directions on the moment to force ratio by finite element method

Optimal force magnitude loaded to orthodontic microimplants: A finite element analysis

Design optimization under uncertainties of a mesoscale implant in biological tissues using a probabilistic learning algorithm

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