Centre of resistance and centre of rotation of a tooth: experimental determination, computer simulation and the effect of tissue nonlinearity

Nyashin, Y.I.; Nyashin, M. Y.; Осипенко, М. А.; Лохов, В А; Dubinin, A.A.; Rammerstorfer, F.G.; Zhurov, Alexei I.

doi:10.1080/10255842.2015.1007961

Cited by 23 publications

(17 citation statements)

References 24 publications

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“…The current method to describe the type of tooth movement consists of measuring the distance from the tooth's projected axis of rotation (center of rotation; C ROT ) to the virtual intersection of the axes of resistance (center of resistance; C RES ). Some recent studies [1][2][3][4] and many previous studies [5][6][7][8][9] investigated the role of M:F associated with different tooth movements. One classic study focused on applying a force perpendicular to a canine long axis with a parabolic shaped root, obtaining the Burstone formula (M:F ¼ 0.068 3 h 2 /y), where h is the distance from the alveolar crest to the apex and y is the distance between the C RES and the C ROT .…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional nonlinear prediction of tooth movement from the force system and root morphology

Savignano¹,

Viecilli²,

Oyoyo³

2020

The Angle Orthodontist

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Objectives To determine the different impact of moment-to-force ratio (M:F) variation for each tooth and spatial plane and to develop a mathematical model to predict the orthodontic movement for every tooth. Materials and Methods Two full sets of teeth were obtained combining cone-beam computed tomography (CBCT) and optical scans for two patients. Subsequently, a finite element analysis was performed for 510 different force systems for each tooth to evaluate the centers of rotation. Results The center of CROT locations were analyzed, showing that the M:F effect was related to the spatial plane on which the moment was applied, to the force direction, and to the tooth morphology. The tooth dimensions on each plane were mathematically used to derive their influence on the tooth movement. Conclusion This study established the basis for an orthodontist to determine how the teeth move and their axes of resistance, depending on their morphology alone. The movement is controlled by a parameter (k), which depends on tooth dimensions and force system features. The k for a tooth can be calculated using a CBCT and a specific set of covariates.

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Section: Introductionmentioning

confidence: 99%

Three-dimensional nonlinear prediction of tooth movement from the force system and root morphology

Savignano¹,

Viecilli²,

Oyoyo³

2020

The Angle Orthodontist

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“…The stress decreases through the apex since the center of rotation (CRot) is located near the apex. According to the results, as the area of force application gets closer to the cervical section, the force gets closer to the center of the resistance (CRes) of the tooth [64,[80][81][82][83]. Consequently, the stress distribution in the tooth becomes more uniform and the rotation movement reduces.…”

Section: Discussionmentioning

confidence: 99%

“…In few studies, hyperelastic or viscoelastic model was used to obtain confident results [59][60][61][62][63][64][65][66]. In this study, the PDL is considered to be a viscoelastic and hyperelastic material.…”

Section: Methodsmentioning

confidence: 99%

Mechanical responses of maxillary canine and surrounding tissues under orthodontic loading: a non-linear three-dimensional finite element analysis

Roostaie

Soltani

2017

J Braz. Soc. Mech. Sci. Eng.

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“…However, in addition to the uncontrolled tipping movements, different tooth movements such as the pure translation, crown/root tipping, intrusion/extrusion, or a combination of them are typically required for tooth position correction in orthodontic treatments. Each of these movements can be described based on the position of the center of resistance (CRes) and center of rotation (CRot) with respect to the tooth geometry [ 6 , 7 ]. For example, a pure translation, root tipping, and crown tipping can result in CRots located at infinity, crown, and root apex, respectively.…”

Section: Introductionmentioning

confidence: 99%

A multi-patient analysis of the center of rotation trajectories using finite element models of the human mandible

et al. 2021

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Studying different types of tooth movements can help us to better understand the force systems used for tooth position correction in orthodontic treatments. This study considers a more realistic force system in tooth movement modeling across different patients and investigates the effect of the couple force direction on the position of the center of rotation (CRot). The finite-element (FE) models of human mandibles from three patients are used to investigate the position of the CRots for different patients’ teeth in 3D space. The CRot is considered a single point in a 3D coordinate system and is obtained by choosing the closest point on the axis of rotation to the center of resistance (CRes). A force system, consisting of a constant load and a couple (pair of forces), is applied to each tooth, and the corresponding CRot trajectories are examined across different patients. To perform a consistent inter-patient analysis, different patients’ teeth are registered to the corresponding reference teeth using an affine transformation. The selected directions and applied points of force on the reference teeth are then transformed into the registered teeth domains. The effect of the direction of the couple on the location of the CRot is also studied by rotating the couples about the three principal axes of a patient’s premolar. Our results indicate that similar patterns can be obtained for the CRot positions of different patients and teeth if the same load conditions are used. Moreover, equally rotating the direction of the couple about the three principal axes results in different patterns for the CRot positions, especially in labiolingual direction. The CRot trajectories follow similar patterns in the corresponding teeth, but any changes in the direction of the force and couple cause misalignment of the CRot trajectories, seen as rotations about the long axis of the tooth.

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Centre of resistance and centre of rotation of a tooth: experimental determination, computer simulation and the effect of tissue nonlinearity

Cited by 23 publications

References 24 publications

Three-dimensional nonlinear prediction of tooth movement from the force system and root morphology

Three-dimensional nonlinear prediction of tooth movement from the force system and root morphology

Mechanical responses of maxillary canine and surrounding tissues under orthodontic loading: a non-linear three-dimensional finite element analysis

A multi-patient analysis of the center of rotation trajectories using finite element models of the human mandible

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