Finite-element analysis of the center of resistance of the mandibular dentition / 대한치과교정학회지

OBJECTIVE: The aim of this study was to investigate the three-dimensional (3D) position of the center of resistance of 4 mandibular anterior teeth, 6 mandibular anterior teeth, and the complete mandibular dentition by using 3D finite-element analysis. METHODS: Finite-element models included the complete mandibular dentition, periodontal ligament, and alveolar bone. The crowns of teeth in each group were fixed with buccal and lingual arch wires and lingual splint wires to minimize individual tooth movement and to evenly disperse the forces onto the teeth. Each group of teeth was subdivided into 0.5-mm intervals horizontally and vertically, and a force of 200 g was applied on each group. The center of resistance was defined as the point where the applied force induced parallel movement. RESULTS: The center of resistance of the 4 mandibular anterior teeth group was 13.0 mm apical and 6.0 mm posterior, that of the 6 mandibular anterior teeth group was 13.5 mm apical and 8.5 mm posterior, and that of the complete mandibular dentition group was 13.5 mm apical and 25.0 mm posterior to the incisal edge of the mandibular central incisors. CONCLUSIONS: Finite-element analysis was useful in determining the 3D position of the center of resistance of the 4 mandibular anterior teeth group, 6 mandibular anterior teeth group, and complete mandibular dentition group.

Optimization of orthodontic treatment using the Centrex System to retract anterior teeth / Otimização do tratamento ortodôntico utilizando o Centrex System para retração dos dentes anteriores

INTRODUCTION: In the end of 90's the adoption of mini-implants as Anchorage allowed a paradigm change influencing even the way of thinking orthodontic mechanics. The overlapping of the specialties of Orthodontics and Implantology started with orthodontic preparations for prosthetic implants insertion, aroused with the use of palatal implants and late with the introduction of mini-implants. The improvement of mini-implants insertion technique with the appearing of self-drilling screws has allowed orthodontists to plan and to place this precious Anchorage piece. Taking into account the versatility of positioning of these screws it was developed a concept that allows the construction of force action lines aiming at optimize the planning and predictability of orthodontic motion. OBJECTIVE: To present some clinical results treatments conduct using Centrex System of orthodontic treatment, approximating the force line action of resistance center of units to be moved. The traced way to its development, previously treated in this journal, will be detailed for better understanding of its functioning.

INTRODUÇÃO: a Ortodontia passa, atualmente, por um momento de importantes inovações e grande efervescência criativa. Somente para citar algumas mudanças introduzidas ou aprimoradas nos últimos anos, nós podemos relembrar a "popularização" dos braquetes autoligáveis e o surgimento da ancoragem absoluta com a utilização de implantes ortodônticos. No final da década de 1990, a adoção dos mini-implantes como ancoragem permitiu uma mudança de paradigma que tem influenciado até mesmo a forma de pensar a mecânica ortodôntica. A imbricação das especialidades de Ortodontia e Implantodontia, cujo início se deu com os preparos ortodônticos para posterior inserção de implantes protéticos, floresceu com o uso de implantes palatinos e, posteriormente, com a introdução de mini-implantes. O aprimoramento da técnica de inserção de mini-implantes com a introdução de parafusos autoperfurantes tem permitido, inclusive, o requinte do ortodontista concentrar em suas mãos o planejamento e a colocação dessa preciosa peça de ancoragem. Levando em consideração a versatilidade de posicionamento desses pequenos parafusos, foi desenvolvido um conceito que possibilita a construção de linhas de ação de força que buscam otimizar o planejamento e a previsibilidade da movimentação ortodôntica. OBJETIVO: apresentar alguns resultados clínicos de tratamentos conduzidos com o uso de um sistema de tratamento ortodôntico, o Centrex System, que aproxima a linha de ação da força do centro de resistência das unidades a serem movimentadas. O caminho trilhado até o seu desenvolvimento, cuja teoria mecânica foi apresentada anteriormente nesse periódico, será detalhado para uma melhor compreensão de seu funcionamento.

Finite-element analysis of the shift in center of resistance of the maxillary dentition in relation to alveolar bone loss / 대한치과교정학회지

OBJECTIVE: The aim of this study was to investigate the changes in the center of resistance of the maxillary teeth in relation to alveolar bone loss. METHODS: A finite element model, which included the upper dentition and periodontal ligament, was designed according to the amount of bone loss (0 mm, 2 mm, 4 mm). The teeth in each group were fixed with buccal and lingual arch wires and splint wires. Retraction and intrusion forces of 200 g for 4 and 6 anterior teeth groups and 400 g for the full dentition group were applied. RESULTS: The centers of resistance were at 13.5 mm, 14.5 mm, 15 mm apical and 12 mm, 12 mm, 12.5 mm posterior in the 4 incisor group; 13.5 mm, 14.5 mm, 15 mm apical and 14 mm, 14 mm, 14.5 mm posterior in the 6 anterior teeth group; and 11 mm, 13 mm, 14.5 mm apical and 26.5 mm, 27 mm, 25.5 mm posterior in the full dentition group respectively according to 0 mm, 2 mm, 4 mm bone loss. CONCLUSIONS: The center of resistance shifted apically and posteriorly as alveolar bone loss increased in 4 and 6 anterior teeth groups. However, in the full dentition group, the center of resistance shifted apically and anteriorly in the 4 mm bone loss model.

Finite-element investigation of the center of resistance of the maxillary dentition / 대한치과교정학회지

OBJECTIVE: The aim of this study was to investigate the 3-dimensional position of the center of resistance of the 4 maxillary anterior teeth, 6 maxillary anterior teeth, and the full maxillary dentition using 3-dimensional finite element analysis. METHODS: Finite element models included the whole upper dentition, periodontal ligament, and alveolar bone. The crowns of the teeth in each group were fixed with buccal and lingual arch wires and lingual splint wires to minimize individual tooth movement and to evenly disperse the forces to the teeth. A force of 100 g or 200 g was applied to the wire beam extended from the incisal edge of the upper central incisor, and displacement of teeth was evaluated. The center of resistance was defined as the point where the applied force induced parallel movement. RESULTS: The results of study showed that the center of resistance of the 4 maxillary anterior teeth group, the 6 maxillary anterior teeth group, and the full maxillary dentition group were at 13.5 mm apical and 12.0 mm posterior, 13.5 mm apical and 14.0 mm posterior, and 11.0 mm apical and 26.5 mm posterior to the incisal edge of the upper central incisor, respectively. CONCLUSIONS: It is thought that the results from this finite element models will improve the efficiency of orthodontic treatment.

Centrex: uma proposta de sistema de forças ortodônticas para atuação no centro de resistência / Centrex: a proposal of an orthodontic force system on the center of resistance

OBJETIVO: este trabalho propõe um novo sistema de forças ortodônticas que visa eliminar ou diminuir alguns efeitos secundários da mecânica ortodôntica, como as inclinações, extrusões e perdas de ancoragem. Por meio de uma revisão crítica da literatura sobre a biomecânica, e de ilustrações detalhadas dos mecanismos, procura-se apresentar didaticamente o seu conceito e sua proposta de funcionamento. CONCLUSÕES: embora já existam outras tentativas de diminuir efeitos indesejados da mecânica ortodôntica, como o Power-arm de Andrews e a mecânica com arcos segmentados, ainda assim, sua utilização tem se mostrado muito distante de uma unanimidade na prática clínica ortodôntica. O Centrex talvez se mostre como uma forma de melhorar a mecânica ortodôntica pela diminuição de alguns efeitos indesejados.

AIM: This paper introduces a new orthodontic forces system with the objective of decreasing or eliminating some secondary effects of the orthodontic mechanics, such as inclinations, extrusions and anchorage loss. Through a critical literature review on biomechanics of tooth movement, and illustrations of the construction and management of the device, its concept and clinical application are presented. CONCLUSIONS: Although other alternatives have been proposed, such as Andrew's "power-arm" or segmented arch mechanics, neither have become unanimous in the daily orthodontic routine. The Centrex might become an alternative to enhance orthodontic mechanics by means of diminishing some of its undesired effects.

The effect of labial inclination on intrusion of the upper and lower incisors by three-dimensional finite element analysis / 대한치과교정학회지

This study was designed to investigate the position of anteroposterior center of resistance for genuine intrusion and the mode of change of the minimum distal force for simultanous intrusion and retraction of the upper and lower incisors according to the increase of labial inclination. For this purpose, we used the three-piece intrusion arch appliance and three-dimensional finite element models of upper and lower incisors. 1. Positions of the center of resistance in upper incisors according to the increase of the labial inclination were as follows; 1) In normal inclination situation, the center of resistance was located in 6mm behind the distal surface of the lateral incisor bracket. 2) In 10degrees increase of the labial inclination situation, the center of resistance was located in 9mm behind the distal surface of the lateral incisor bracket. 3) In 20degrees increase of the labial inclination situation, the center of resistance was located in 12m behind the distal surface of the lateral incisor bracket. 4) In 30degrees increase of the labial inclination situation, the center of resistance was located in 16m behind the distal surface of the lateral incisor bracket. 2. Positions of the center of resistance in lower incisors according to the increase of the labial inclination were as follows; 1) In normal inclination situation, the center of resistance was located in 10mm behind the distal surface of the lateral incisor bracket. 2) In 10degrees increase of the labial inclination situation, the center of resistance was located in 13mm behind the distal surface of the lateral incisor bracket. 3) In 20degrees increase of the labial inclination situation, the center of resistance was located in 15m behind the distal surface of the lateral incisor bracket. 4) In 30degrees increase of the labial inclination situation, the center of resistance was located in 18m behind the distal surface of the lateral incisor bracket. 3. The patterns of stress distribution were as follows; 1) There were even compressive stresses in and periodontal ligament when intrusion force was applied through determined center of resistance. 2) There were gradual increase of complexity in compressive stress distribution pattern with increase of the labial inclination when intrusion and retraction force were applied simultaneously.

An experimental study on the stress distribution in the periodontal ligament / 대한치과교정학회지

In order to achieve a desirable tooth movement, it is of great importance to control the M/F ratio and to know the location of the center of resistance. The purpose of this study was to locate the center of resistance and the axis of rotation, and to estimate the stress distribution in the periodontal ligament with experimental model. After preparing a model of an upper canine with a simulated periodontal ligament and alveolar bone, the force and moment were applied. The tooth movement was traced using measuring device with LVDTs(Linear variable differential transformers) that can measure three dimensional tooth movement in real time. The results were as follows. 1. The location of center of resistance by transverse force was 29% of root length measured from alveolar crest to apex regardless of force magnitude. The position of the center of resistance is more coronal than that of two-dimensional model(42%). 2. The center of resistance and the axis of rotation coincide when couple moment was applied. 3. As the magnitude of moment increases, tooth tends to extrude irrespective of the direction of the moment. 4. The relationship between location of force and axis of rotation (a x b =49.6mm2) was obtained. A tooth movement can be predicted through this formula. 5. The centers of rotation by transverse force were plotted linearly.

The vertical location of the center of resistance for maxillary six anterior teeth during retraction using three dimensional finite element analysis / 대한치과교정학회지

The delivery of optimal orthodontic treatment is greatly influenced by clinician's ability to predict and control tooth movement by applying well-known force system to dentition. It is very important to determine the location of the centers of resistance of a tooth or teeth in order to have better understanding the nature of displacement characteristics under various force levels. In this study, three dimensional finite element analysis was used to measure the initial displacement of the consolidated teeth under loading. The purpose of this study was to define the location of the centers of resistance at the upper six anterior segment. To observe the changes of six anterior segment, 200gm, 250gm, 300gm, and 350gm forces at right and left hand side each were imposed toward lingual direction. For this study, two cases, six anterior teeth and six anterior teeth after corticotomy, were reviewed. In addition, it was reviewed the effects of changes on the location of the center of resistance in both cases based on different degree of forces aforementioned. The results were that : 1. The instantaneous center of resistance for the six anterior teeth was vertically located between level 4 and level 5, which is, at 6.76mm, 44.32 % apical to the cementoenamel junction level. 2. The instantaneous center of resistance for the six anterior teeth after corticotomy was located vertically between level 4 and level 5, that is, at 7.09mm, 46.38 % apical to the cementoenamel junction level. 3. Changes of force showed little effect on the location of the center of resistance in each case. 4. It was observed that the location of the instantaneous center of resistance for the six anterior teeth after corticotomy was changed more than the six anterior teeth without corticotomy to the apical part, and the displacement of the consolidated anterior teeth moved further in case of the consolidated teeth after corticotomy.

A study about the change of locations of the center of resistance according to the decrease of alveolar bone heights and root lengths during anterior teeth retraction using the laser reflection technique / 대한치과교정학회지

Treatment mechanics should be individualized to be suitable for each patient`s personal teeth and anatomic environment to get a best treatment result with the least harmful effects to teeth and surrounding tissues. Especially, the change of biomechanical reaction associated with that of the centers of resistance of teeth should be considered when crown-to-root ratio changed due to problematic root resorption and/or periodontal disease during adult orthodontic treatment. At the present study in order to investigate patterns of initial displacements of anterior teeth under certain orthodontic force when crown-to-root ratio changed in not only normal periodontal condition but also abnormal periodontal and/or teeth condition, the changes of the centers of resistance for maxillary and mandibular 6 anterior teeth as a segment were studied using the laser reflection technique, the lever&pulley force applicator and the photodetector with these quantified variables reducing alveolar bone 2mm by 2mm for each of maxillary 6 anterior teeth until the total amount of 8mm and root 2mm for each of mandibular 6 anterior ones until the total amount of 6mm. The results were as follows: 1. Under unreduced condition, the center of resistance during initial displacement of maxillary 6 anterior teeth was located at the point of about 42.4% apically from cemento-enamel junction(CEJ) of the averaged tooth of them and kept shifting to about 76.7% with alveolar bone reduction. 2. The distance from the averaged alveolar crest level of maxillary 6 anterior teeth to the center of resistance for the averaged tooth of them kept decreasing with alveolar bone reduction, but the ratio to length of the averaged root embedded in the alveolar bone was stable at around 33% regardless of that. 3. Under unreduced condition, the center of resistance during initial displacement of mandibular 6 anterior teeth was located at the point of about 43% apically from CEJ of the averaged tooth of them and this ratio kept increasing tc about 54% with root reduction. Bur the distance from CEJ to the center of resistance decreased from around 5.3mm to around 3.3mm, that is to say, the center of resistance kept shifting toward CEJ with the shortening of root length. 4. A unit reduction of alveolar bone had greater effects on the change of the centers of resistance than that of root did during initial phase of each reduction. But both of them had similar effects at the middle region of whole length of the averaged root.

A three-dimensional finite element analysis on the location of center of resistance during intrusion of upper anterior teeth / 대한치과교정학회지

This study was performed to locate the anteroposterior position of the center of resistance of upper anterior teeth when intrusive forces are acted on them by applying segmented arch mechanics. Three-dimensional finite elernent model of upper six anterior teeth, periodontal ligament and alveolar bone was constructed The locations of the center of resistance were compared according to the three variables, which are number of teeth contained in anterior segment, axial inclination of anterior teeth, and degree of alveolar bone loss. The following conclusions were drawn from this study; 1. When the axial inclination and alveolar bone height were normal, the locations of center of resistance of anterior segment according to the number of teeth contained were as follows; 1). In 2 teeth segment, the center of resistance was located in the distal area of lateral incisor bracket 2) In 4 teeth segment, the center of resistance was located in the distal 2/3 of the distance between the brackets of lateral incisor and canine. 3) In 6 teeth segment, the center of resistance was located in 3mm distal of canine bracket, which is interproxirnal area. between canine and 1st premolar. 4) As the number of teeth contained in anterior segment increased, the center of resistance shifted to the distal side. 2. As the labial inclination of incisors increased, the center of resistance shifted to the distal side. 3. As the alveolar bone loss increased, the center of resistance shifted to the distal side.

A finite element analysis of the center of resistance of a maxillary first molar / 대한치과교정학회지

The purpose of this study was to analyse the center of resistance of the maxillary first molar using the 3-dimension finite element method. An extracted maxillary first molar of normal shape and average root length was selected and sectioned every 1.5mm parallel to the cementoenamel junction. Each section was traced and digitized to construct 3-D finite element model of the maxillary first molar. After a certain magnitude of counterbalancing moment(M) was applied to the tooth, a varying single force(F) of distomesial direction was applied to a certain point of the tooth until the tooth was translated. The force producing translation(Ft) was substituted to the equation deltad = M/Ft to calculate the center of resistance of the maxillary first molar. And reducing the alveolar bone level 1.68mm, and 3.36mm below to the cementoenamel junction, the tooth movement was analysed to see the effect of reducing the alveolar bone level to the location of the center of resistance. The results were as follows; 1. The center of resistance of the maxillary first molar was 3.72mm apical, 1.10mm buccal, and 0.71mm mesial to the geometric center of the horizontally sectioned surface at the cementoenamel junction. This point was 0.36mm apical, 1.20mm buccal, and 0.71mm mesial to the trifurcation point, indicating that it was not on the tooth root. 2. As the alveolar bone level was reduced, the center of resistance of the maxillary first molar was moved to the apical direction.

The center of resistance of the maxillary anterior segment in the horizontal plane during intrusion by using laser reflection technique / 대한치과교정학회지

Tooth movement by segment is one of the means which are frequency used in daily orthodontic practice. When we retract or intrude a tooth or teeth, we should recognize the center of resistance of the certain tooth or teeth. There have been many studies about the center of resistance of a single tooth, not so much was about the tooth-segment. At the present study the center of resistance of the maxillary anterior segment is experimentally investigated by using laser reflection technique and metal splints on the human dry skull. The variables of intrusive force magnitude are divided into two groups, 50g and 100g groups. The results were as follows; 1. The center of resistance of the maxillary anterior segment composed of the central and lateral incisors was at the mesial portion of canine crown at the coronal level. 2. The center of resistance of the maxillary anterior segment composed of the central and lateral incisors and canines is between the canine and the 1st premolar crowns at the coronal level.

Experimental study of the vertical location of the centers of resistance for maxillary anterior teeth during retraction using the laser reflection technique / 대한치과교정학회지

The delivery of optimal orthodontic treatment is greatly influenced by a clinician's ability to predict and control tooth movement achieved by applying known force systems to the dentition. It is important to determine the location of the center of resistance of a tooth or group of teeth to better understand the nature of their displacement characteristics under the various force levels. The purpose of this study was to define the location of the centers of resistance of various units of the upper anterior segment for lingually directed 100gm and 200gm force in a dry human skull. The units investigated were composed of four incisors and six anterior teeth. In addition, the effect of change in force magnitude on the location of the center of resistance of these units was investigated. The laser reflection technique was used to measure the initial displacements of the consolidated teeth under loading. The results were as follows: 1. The instantaneous center of resistance for the four anterior teeth was located vertically between level 4 and level 5-that is, at 37.4 % apical to the cementoenamel junction level. 2. The instantaneous center of resistance for the six anterior teeth was located vertically just beneath level 5-that is, at 50.3 % apical to the cementoenamel junction level. 3. Increasing force levels had little effect on the location of the center of resistance of a given unit. 4. The location of the instantaneous center of resistance shifted apically as the number of dental units consolidated increased.