Orthodontic movement of a canine into an adjoining extraction site

Williams, Keith R.; Edmundson, J.T.; Morgan, G.B.; Jones, M. L.; Richmond, Stephen

doi:10.1016/0141-5425(86)90045-2

Cited by 22 publications

(5 citation statements)

References 11 publications

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“…In the present study FEM has been used to assess qualitatively the effect of variation in elasticity of the membrane together with alterations in anatomy representing surgical procedures on the displacement of the malleus for a standard sound pressure equivalent to low frequency. The present methodology has been successfully applied to orthodontic tooth movement (Williams et al, 1986), where hard tissue is intimately involved with much softer elastic material. In this earlier work mechanical properties of both hard and soft tissue were varied over wide limits in order that the computed displacements could be compared with in vivo measurements.…”

Section: Discussionmentioning

confidence: 99%

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The tympanic membrane in cross section: a finite element analysis

Lesser¹,

Williams²

1988

J. Laryngol. Otol.

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This paper applies the technique of finite element analysis to the tympanic membrane. A Two-dimensional cross-sectional model of the tympanic membrane and malleus is described. A variety of experiments have been performed on this model, and displacements under a uniform load are analysed. The shape of the displaced membrane and the movement of the umbo were found tobe sensitive to a number of factors. These include the elastic modulus of the membrane, the presence and position of the axis or rotation of the malleus, and the size of the pars flaccida. Some implications of these results are discussed.

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Section: Discussionmentioning

confidence: 99%

“…(1986) are using it for planning lung tumour hyperthermia. Williams and Edmunson (1984) and Williams et al (1986) have established it as a method of analysing orthodontic tooth movements. It has recently been used to model skin flaps in the Otolaryngological literature (Larrabee and Gait, 1986).…”

Section: Introductionmentioning

confidence: 99%

The tympanic membrane in cross section: a finite element analysis

Lesser¹,

Williams²

1988

J. Laryngol. Otol.

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“…These first studies attempted to predict tooth behaviour by developing highly complex differential equations, which required idealisations and large approximations of tooth geometries to solve. Similar work was reported decades later (Haack and Haft, 1972) and, at the same time, Davidian (1971) presented a simple linear-spring model, which was followed by the presentation of 2D analytical models (Thresher and Saito, 1973;Williams and Edmundson, 1984;Williams et al, 1986) and finally 3D models (Cobo et al, 1993;McGuinness et al, 1991;Tanne et al, 1987Tanne et al, , 1988Tanne et al, , 1991. With the development of numerical methods in the 1970s finite-difference (Haack and Haft, 1972) and finite element (FE) models (Widera et al, 1976) were formulated to facilitate research in dental biomechanics.…”

Section: Introductionmentioning

confidence: 86%

Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature

Fill

Toogood

Major

et al. 2012

Journal of Biomechanics

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“…The relationship between stress and tooth movement is represented by the plot shown in Figure 5 . It was found that the relationship between stress and tooth movement was nonlinear as demonstrated in previous studies [ 24 – 26 ]. Tooth movement initially occurred at a low level of stress.…”

Section: Resultsmentioning

confidence: 57%

Development and Validation of 3D Finite Element Models for Prediction of Orthodontic Tooth Movement

Likitmongkolsakul

Smithmaitrie

Samruajbenjakun

et al. 2018

International Journal of Dentistry

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Objectives The aim of this study was to develop and validate three-dimensional (3D) finite element modeling for prediction of orthodontic tooth movement. Materials and Methods Two orthodontic patients were enrolled in this study. Computed tomography (CT) was captured 2 times. The first time was at T0 immediately before canine retraction. The second time was at T4 precisely at 4 months after canine retraction. Alginate impressions were taken at 1 month intervals (T0–T4) and scanned using a digital scanner. CT data and scanned models were used to construct 3D models. The two measured parameters were clinical tooth movement and calculated stress at three points on the canine root. The calculated stress was determined by the finite element method (FEM). The clinical tooth movement was measured from the differences in the measurement points on the superimposed model. Data from the first patient were used to analyze the tooth movement pattern and develop a mathematical formula for the second patient. Calculated orthodontic tooth movement of the second patient was compared to the clinical outcome. Results Differences between the calculated tooth movement and clinical tooth movement ranged from 0.003 to 0.085 mm or 0.36 to 8.96%. The calculated tooth movement and clinical tooth movement at all reference points of all time periods appeared at a similar level. Differences between the calculated and clinical tooth movements were less than 0.1 mm. Conclusion Three-dimensional FEM simulation of orthodontic tooth movement was achieved by combining data from the CT and digital model. The outcome of the tooth movement obtained from FEM was found to be similar to the actual clinical tooth movement.

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Orthodontic movement of a canine into an adjoining extraction site

Cited by 22 publications

References 11 publications

The tympanic membrane in cross section: a finite element analysis

The tympanic membrane in cross section: a finite element analysis

Analytically determined mechanical properties of, and models for the periodontal ligament: Critical review of literature

Development and Validation of 3D Finite Element Models for Prediction of Orthodontic Tooth Movement

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