Where is the center of resistance of a maxillary first molar? A 3-dimensional finite element analysis

Gandhi, Vaibhav; Luu, Bill; Dresner, Rebecca; Pierce, David M.; Upadhyay, Madhur

doi:10.1016/j.ajodo.2020.04.033

Cited by 13 publications

(12 citation statements)

References 35 publications

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“…Alternatively, the appropriate combination of the direction of the tooth implant and occlusion force is important to maintain tooth position and direction for a long time 5) . The center of resistance (CRes) of the tooth is defined in orthodontics as the point that the tooth moves parallel when forces are applied through the tooth [6][7][8][9][10][11][12][13] . There were many research about the movement by orthodontic force [10][11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional location and distribution of the center of resistance in the maxillary first molar applied to occlusal force

2023

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We aimed to investigate the center of resistance (CRes) of the maxillary first molar to set the occlusal force through finite element analysis. The inclination of the molar was measured, with loading to the root on the crown, and the position and direction of the load that minimized the inclination were investigated. The CRes was defined as the set of midpoints of the minimum distances between the two lines. Nine hundred and ninety CRes points were estimated from forty-five lines. The CRes was estimated as the point 1.22 mm (Z), −0.74 mm (X), and 0.23 mm (Y) from the origin in the apical, distal, and buccal side directions, respectively, with an ellipsoid area of 1.578 (Z) mm×0.097 (X) mm×0.100 (Y) mm. Further research is required to make effective use of the CRes identified in this study for clinical applications.

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Section: Introductionmentioning

confidence: 99%

“…The center of resistance (CRes) of the tooth is defined in orthodontics as the point that the tooth moves parallel when forces are applied through the tooth [6][7][8][9][10][11][12][13] . There were many research about the movement by orthodontic force [10][11][12][13] .…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional location and distribution of the center of resistance in the maxillary first molar applied to occlusal force

2023

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“…The combination of these two processes causes the tooth to move inside the alveolar bone [ 3 ]. The center of resistance is considered as a reference point for the predictable movement of the tooth [ 4 ]. In fact, the Cres is the point at which, if the force is applied exactly in that direction, the tooth movement will occur without changing the angle of placement inside the alveolar bone.…”

Section: Introductionmentioning

confidence: 99%

“…In fact, the Cres is the point at which, if the force is applied exactly in that direction, the tooth movement will occur without changing the angle of placement inside the alveolar bone. The Crot’s also the point around which the tooth begins to rotate [ 4 ]. Accurate determination of the center of resistance and the center of rotation of the tooth can greatly increase the efficiency of the forces applied to the tooth during orthodontic treatment, in general, biomechanically, the dental movements are created by the orthodontic system [ 4 , 5 ].…”

Section: Introductionmentioning

confidence: 99%

“…The Crot’s also the point around which the tooth begins to rotate [ 4 ]. Accurate determination of the center of resistance and the center of rotation of the tooth can greatly increase the efficiency of the forces applied to the tooth during orthodontic treatment, in general, biomechanically, the dental movements are created by the orthodontic system [ 4 , 5 ]. This system includes: Force(s) and moment(s).…”

Section: Introductionmentioning

confidence: 99%

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An expansion to the Nägerl’s theory of proportionality in reduced alveolar bone height models: a 3D finite element analysis

Geramy

Fazli

2022

BMC Oral Health

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Introduction Orthodontic tooth movement is a basic theme in an orthodontic treatment. According to Nägerl, A nearer force application to the center of resistance will bring a farther center of rotation to the center of resistance. The main goal of this study was to evaluate this theory of proportionality by Finite element method (FEM) and find out its applicability in a bone loss situation. Materials and methods Three 3D FEM of an upper central incisor were designed in Solidworks 2016, the first one with a healthy bone height (model 1), with 3 mm of bone loss (model 2) and with 4.5 mm of bone loss (model 3). An 0.5 N force was applied in different predefined locations on the labial surface of the crown in model 2. This was 0.2 N for the model 3. The exact location of the center of resistance (Cres), center of rotation (Crot) for each force application point was calculated using a C++ code specially design for this study in all models. Results An apical shift of the Cres positions were shown in gradual steps of bone loss from 7.9708 mm incisal from the apex to 6.6292 mm in model 2 and 5.6105 mm in model 3. Modification of the location of the Crot in different force magnitudes and points of force applications were shown whit a constant a*b. Conclusion In healthy teeth and teeth with alveolar bone loss, Cres located in the apical third of the root. The product of the distance between the point of force application and Cres (“a”) and the Cres and Crot (“b”) is constant, thus; Nägerl theory is applicable in both healthy and reduced bone height. In this way, applying a single force nearer to the cervical point will result in a more apical location of the Crot, reducing the angle change in the long axis of the tooth.

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Actual contribution ratio of maxillary and mandibular molars for total molar relationship correction during maxillary molar sequential distalization using clear aligners with Class II elastics: A finite element analysis

Liu,

Wang,

Gao

et al. 2023

American Journal of Orthodontics and Dentofacial Orthopedics

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Where is the center of resistance of a maxillary first molar? A 3-dimensional finite element analysis

Cited by 13 publications

References 35 publications

Three-dimensional location and distribution of the center of resistance in the maxillary first molar applied to occlusal force

Three-dimensional location and distribution of the center of resistance in the maxillary first molar applied to occlusal force

An expansion to the Nägerl’s theory of proportionality in reduced alveolar bone height models: a 3D finite element analysis

Actual contribution ratio of maxillary and mandibular molars for total molar relationship correction during maxillary molar sequential distalization using clear aligners with Class II elastics: A finite element analysis

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