Open-access Mandibular growth and dentoalveolar development in the treatment of Class II, division 1, malocclusion using Balters Bionator according to the skeletal maturation

Abstracts

OBJECTIVE: The purpose of the study was to evaluate the influence of the skeletal maturation in the mandibular and dentoalveolar growth and development during the Class II, division 1, malocclusion correction with Balters bionator. METHODS: Three groups of children with Class II, division 1, malocclusion were evaluated. Two of them were treated for one year with the bionator of Balters appliance in different skeletal ages (Group 1: 6 children, 7 to 8 years old and Group 2: 10 children, 9 to 10 years old) and the other one was followed without treatment (Control Group: 7 children, 8 to 9 years old). Lateral 45 degree cephalometric radiographs were used for the evaluation of the mandibular growth and dentoalveolar development. Tantalum metallic implants were used as fixed and stable references for radiograph superimposition and data acquisition. Student's t test was used in the statistical analysis of the displacement of the points in the condyle, ramus, mandibular base and dental points. Analysis of variance one-fixed criteria was used to evaluate group differences (95% of level of significance). RESULTS: The intragroup evaluation showed that all groups present significant skeletal growth for all points analyzed (1.2 to 3.7 mm), but in an intergroup comparison, the increment of the mandibular growth in the condyle, ramus and mandibular base were not statically different. For the dentoalveolar modifications, the less mature children showed greater labial inclination of the lower incisors (1.86 mm) and the most mature children showed greater first permanent molar extrusion (4.8 mm).

Angle Class II malocclusion; Orthopedics; Growth and development


OBJETIVO: avaliar a influência da maturação óssea no processo de crescimento e de desenvolvimento mandibular e dentoalveolar durante a correção da Classe II, divisão 1, com o Bionator de Balters. MÉTODOS: foram avaliados três grupos de crianças com Classe II, divisão 1. Dois grupos foram tratados por um ano com o aparelho Bionator de Balters, em diferentes idades esqueléticas (Grupo 1: 6 crianças, com 7 a 8 anos de idade; e Grupo 2: 10 crianças, com 9 a 10 anos); e um grupo sem tratamento (Grupo controle: 7 crianças, com 8 a 9 anos). Telerradiografias laterais em norma de 45º foram utilizadas para a avaliação do crescimento mandibular e para o desenvolvimento dentoalveolar. Implantes metálicos de tântalo foram usados como referência fixa e estável para sobreposições radiográficas e aquisição de dados. Na análise estatística do deslocamento de pontos localizados na região de côndilo, corpo e base mandibular e de pontos dentários, foi empregado o teste t de Student; para avaliar as diferenças entre os grupos, usou-se a análise de variância a um critério de classificação (nível de significância de 95%). RESULTADOS: os grupos, quando avaliados individualmente, apresentaram crescimento de todos os pontos esqueléticos de forma significativa (1,2 a 3,7mm); porém, quando comparados entre si, a quantidade de crescimento na região do côndilo, ramo e base da mandíbula não foi estatisticamente diferente. Quanto às alterações dentárias, ocorreu maior inclinação dos incisivos inferiores para vestibular (1,86mm) nos pacientes menos maduros, e maior extrusão dos primeiros molares permanentes (4,8mm) nos pacientes mais maduros.

Má oclusão de Angle Classe II; Ortopedia; Crescimento e desenvolvimento


ORIGINAL ARTICLE

Mandibular growth and dentoalveolar development in the treatment of Class II, division 1, malocclusion using Balters Bionator according to the skeletal maturation

Paulo Roberto dos Santos-PintoI; Lídia Parsekian MartinsII; Ary dos Santos-PintoIII; Luiz Gonzaga Gandini JúniorIII; Dirceu Barnabé RaveliIII; Cristiane Celli Matheus dos Santos-PintoIV

IProfessor, Barretos University - UNIFEB

IIPhD in Orthodontics. Assistant Professor, Children's Clinic Department, School of Dentistry of Araraquara - UNESP

IIIFull Professor, Children's Clinic Department, School of Dentistry of Araraquara - UNESP

IVMSc in Orthodontics, FOB-USP. Professor, Ribeirão Preto University - UNAERP

Contact address Contact address: Prof. Paulo Roberto dos Santos-Pinto Orthodontic Center - Rua Américo Brasiliense, 1702 - Sala 5 CEP: 14015-050 - Ribeirão Preto/SP - Brazil E-mail: dr-pauloroberto@hotmail.com

ABSTRACT

OBJECTIVE: The purpose of the study was to evaluate the influence of the skeletal maturation in the mandibular and dentoalveolar growth and development during the Class II, division 1, malocclusion correction with Balters bionator.

METHODS: Three groups of children with Class II, division 1, malocclusion were evaluated. Two of them were treated for one year with the bionator of Balters appliance in different skeletal ages (Group 1: 6 children, 7 to 8 years old and Group 2: 10 children, 9 to 10 years old) and the other one was followed without treatment (Control Group: 7 children, 8 to 9 years old). Lateral 45 degree cephalometric radiographs were used for the evaluation of the mandibular growth and dentoalveolar development. Tantalum metallic implants were used as fixed and stable references for radiograph superimposition and data acquisition. Student's t test was used in the statistical analysis of the displacement of the points in the condyle, ramus, mandibular base and dental points. Analysis of variance one-fixed criteria was used to evaluate group differences (95% of level of significance).

RESULTS: The intragroup evaluation showed that all groups present significant skeletal growth for all points analyzed (1.2 to 3.7 mm), but in an intergroup comparison, the increment of the mandibular growth in the condyle, ramus and mandibular base were not statically different. For the dentoalveolar modifications, the less mature children showed greater labial inclination of the lower incisors (1.86 mm) and the most mature children showed greater first permanent molar extrusion (4.8 mm).

Keywords: Angle Class II malocclusion. Orthopedics. Growth and development.

RESUMO

OBJETIVO: avaliar a influência da maturação óssea no processo de crescimento e de desenvolvimento mandibular e dentoalveolar durante a correção da Classe II, divisão 1, com o Bionator de Balters.

MÉTODOS: foram avaliados três grupos de crianças com Classe II, divisão 1. Dois grupos foram tratados por um ano com o aparelho Bionator de Balters, em diferentes idades esqueléticas (Grupo 1: 6 crianças, com 7 a 8 anos de idade; e Grupo 2: 10 crianças, com 9 a 10 anos); e um grupo sem tratamento (Grupo controle: 7 crianças, com 8 a 9 anos). Telerradiografias laterais em norma de 45º foram utilizadas para a avaliação do crescimento mandibular e para o desenvolvimento dentoalveolar. Implantes metálicos de tântalo foram usados como referência fixa e estável para sobreposições radiográficas e aquisição de dados. Na análise estatística do deslocamento de pontos localizados na região de côndilo, corpo e base mandibular e de pontos dentários, foi empregado o teste t de Student; para avaliar as diferenças entre os grupos, usou-se a análise de variância a um critério de classificação (nível de significância de 95%).

RESULTADOS: os grupos, quando avaliados individualmente, apresentaram crescimento de todos os pontos esqueléticos de forma significativa (1,2 a 3,7mm); porém, quando comparados entre si, a quantidade de crescimento na região do côndilo, ramo e base da mandíbula não foi estatisticamente diferente. Quanto às alterações dentárias, ocorreu maior inclinação dos incisivos inferiores para vestibular (1,86mm) nos pacientes menos maduros, e maior extrusão dos primeiros molares permanentes (4,8mm) nos pacientes mais maduros.

Palavras-chave: Má oclusão de Angle Classe II. Ortopedia. Crescimento e desenvolvimento.

INTRODUCTION

The treatment of Class II malocclusion with functional appliances, studied for decades in experimental studies in animals and humans, prove that this therapy is able to rearrange the growth and normal development of the face,26,28 with skeletal and dentoalveolar effects, important for the correction of malocclusion.12,21,23 Regarding mandible, studies with different methodologies have proven that functional therapy in patients with Class II malocclusion, can alter condylar growth and promote mandibular bone remodeling.26,28 However, the condylar growth is up to nowadays, a controversial and poorly defined fact.22

The importance of this study of Class II treatment with Balters bionator appliance lies in the use of 45º lateral teleradiographs, to allow an evaluation without overlapping anatomical structures,16 by referential of metallic implants24 and the distribution of these patients by bone age, which makes the results more reliable.

There are studies already that used similar methodologies23 however, the clinician still has difficulty in defining the ideal stage to start intervention, because literature is often contradictory, with authors arguing that in young patients the mandibular length increase may occur with the use of these appliances,5,24 challenged by authors who claim that this form of treatment does not grow the mandible, because puberty is where the child has more growth earnings.22

The objective of this study is to evaluate the influence of bone maturation, in mandibular and dentoalveolar growth and development, natural and induced by treatment of Class II malocclusion, division 1, with Balters bionator.

MATERIAL AND METHODS

This study used radiographs of a sample composed by 23 Caucasian patients being 09 males and 14 females, with bone ages between 7-10 years, Angle's Class II malocclusion, division 1, and mandibular deficiency. Oblique lateral radiographs, 45º (oblique teleradiography), of right and left hemimandibles, and hand and wrist radiographs were taken by the same technician on the same day, using X-ray machine (Funk Orbital X15), Lanex screens and TMG film with the factors: 82 kVp, 80 mA and 0.5 seconds exposure. These radiographs were collected prospectively in two stages with an interval of 1 year and archived in the Post-Graduation Course in Orthodontics, School of Dentistry - UNESP, in the city of Araraquara (SP).

Patients in the study were divided into 3 groups according to bone age obtained by the method of Eklöf and Ringertz using the program Radiocef Studio, Radiocef Studio version, based on measurements of 10 dimensions of the bones of the hand and wrist in radiographs images scanned. Control group (C), with patients without treatment with 8.5 to 9.4 years of bone age and, treated Groups 1 and 2, with patients with initial bone age 7 to 8.5 years and 9.3 to 10.7 years, respectively (Table 1).

The appliance used in patients of treated groups was the bionator described by Balters,4 with acrylic deep extension of the lower arch seeking greater mucosal support in the lingual region and always made by the same professional.23

All patients received three tantalum metal implants, measuring 0.5 mm in diameter and 1.5 mm length, positioned on the mandible cortical surface as the method developed by Björk.8 The first positioned at the center of the symphysis, between the roots of the incisors and the other two positioned in the posterior region, between the roots of the lower first permanent molars, right and left.

Aiming to evaluate mandibular growth and tooth development, natural and induced by orthopedic treatment with Balters bionator, it was established 16 cephalometric points marked in visualized right and left oblique radiographs of the mandible: Condylar points (co, coa, cop, cla, and clp) points in the ramus region (ramp, rams, rma and rmi) and lower border (gop, go, goa, me, bora, borm and borp) (Table 1).

The points marked on the permanent teeth were icp, iip, cp, m1p, m2p, p1m and p2m and on deciduous teeth: cd, m1d and m2d, totaling 10 dental points, and 2 reference points of implant (Fig 1, Table 2).


For analysis of the displacements of cephalometric landmarks it was used a Cartesian coordinate system.

The X axis is represented by the horizontal line formed by the orbital plane determined in the initial radiographic (T1) and transferred to subsequent radiographs through the superimposition of the images of metallic implants located at the anterior and posterior mandible (Ip and Ia). The Y axis is represented by the vertical line perpendicular to the orbital plane passing through a fiducial point located at the rear end of the orbit plane in a rearmost position to skeletal and dental structures of cephalometric tracing. The anteroposterior position of each cephalometric point was obtained by linear distance from point referred to the Y axis, parallel to the axis X. Similarly, the vertical position of each cephalometric point was obtained by linear distance from the point to the X axis parallel to the Y axis (Fig 1).

The horizontal displacement for each point was calculated as the difference between the linear horizontal distance of the points at two different instants (I2-I1) where I1 represents the beginning of orthopedic treatment (treated group) or beginning of the observation period (control) and I2, the displacement after 1 year of orthopedic therapy (treated group) or end of the observation period (Control group). The total displacement of each point was obtained using the rule of the right triangle (total displacement equal to the square root of the sum of squared horizontal displacement and vertical displacement squared).

This study was approved on May 4, 2009 by the research ethics committee of the Faculty of Dentistry of Araraquara under protocol 39/06, which is in accordance with resolution 196/96 of the National Health Council/MS.

STATISTICAL ANALYSES

The predetermined points in the radiographs were digitized twice by the same calibrated operator every 15 days, using the IBM compatible personal computer with the program Dentofacial Planner Plus version 2.02, on Numonics Accugrid digitizing tablet. Data were taken to the Excel Program in IBM microcomputer and statistically analyzed using SPSS. This procedure was performed to evaluate the error of the method in the scanning process. It was applied Intraclass Correlation Coefficient (ICC) which showed variations from 0.893 to 0.996, with the smallest corresponding to the point m1d(v) and the highest to points oj, cop(v) coa(v) and rmd, demonstrating that the error method was not significant.

For comparison between groups, the data were annualized in order to balance the small difference in time for observation or treatment from 0.8 to 1.2 years (Table 1).

From each patient, at each study point, it was obtained two oblique teleradiographs one on the right side and another on the left side. The study of correlation of the displacements of the predetermined points on both sides employing the Pearson correlation coefficient showed that for 77 % of them the correlation is zero or very weak and 16 % of the correlation is moderate showing that a promoted correction by the device or natural growth is not necessarily symmetric. Based on these results it was chosen to work with the measurements of both sides as independent measures.

For statistical analysis of the displacement of each point, it was employed Student's t test for the mean of a population. To assess whether the means of each measure in the three groups were equal, it was used analysis of variance with a criterion of classification (ANOVA) when the homogeneity test of variances was not significant, otherwise the statistical analysis was performed by the Brown-Forsythe test. It was conducted tests of multiple comparison of means for variables that showed statistically significant results in testing the hypothesis of equality of means. The significance level for all statistical tests was 95 % (p < 0.05).

RESULTS

According to the analyzed sample and the measurements it is possible to say that, accompanied by one year without treatment, natural growth occurred promoting back horizontal changes at goa and go points and back and down at points gop, ramp, rams, clp, cop, co, coa, cla and rma and, only down at point me, with statistical significance (Table 3).

The results of the displacement of dental points of this Control group were significant for the overall tooth displacement. Horizontally it occurred labial migration of incisors, the m2p points, p2m, p1m and cp points moved to mesial and occlusal and m1p shifted toward occlusal significantly. The remaining evaluated teeth showed no significant changes in this group.

The data from Group 1 (Table 4), of patients with lower bone age or less mature, showed significant total displacement of all studied points, both for measures of skeletal origin as tooth measures.

The total tooth movements were all significant, with mesial movement of all teeth, except the first deciduous molars and canines, and significant extrusion of permanent teeth (m1p, m2p, p1m, p2m, cp).

Significant changes occurred in both horizontal and vertical at goa, go, gop, ramp, rams, clp, cop, co, coa, cla, rmi points, only horizontally at borp point, and vertically at me and rma points.

The dental changes in both horizontal and vertical occurred with significant mesial movement and extrusion of points m2p, p2m, and cp, only extrusion at m1p, p1m points.

To evaluate whether the average of each measure in the three groups were equal it was used analysis of variance with one classification criterion (ANOVA) when the test for homogeneity of variance was not significant, otherwise the comparison of means was performed by Brown-Forsythe test. The results are shown in Tables 6 and 7, and in Table 8 the results of the multiple comparisons of means of variables that showed statistically significant results in test for difference of means.

The data in Table 6 show that, except for the measure iip, there are no statistical differences between the means of the horizontal measures of mandibular growth and tooth migration. The results of the multiple comparisons of means (Table 8) show that the iip mean from Group 1 differs from means of Control group and Group 2. For measures of vertical growth, the results indicate that there is significant difference between the group's means only for some measures of tooth movement, m2p, m1p and p1m. Regarding to p1m it was also observed no significant difference between the variances of the three groups. The results of multiple comparisons of means show that, for the three measures cited above, the vertical growth in Group 2 was higher and significantly different from the other two groups.

DISCUSSION

This work was carried out at 45º oblique teleradiographs of patients who had metal implants inserted in the mandible, used as stable references, what allowed a more reliable evaluation of the results. This feature eliminates variables like the magnification of radiographic images3 and incorrect positioning of the patients head in cephalostat. The images of implants as suggested by Bjork8 were marked on the initial teleradiograph and transferred to the subsequent, providing an assessment of the real displacement of the points in evaluated time (for all groups), which otherwise would not be possible.23

Identifying whether the orthopedic device only changes the direction of condylar growth or the rate and amount of this growth has been the purpose of many authors. Bjork and Skieller9 cite the importance, in longitudinal studies, the condylar growth in mandible length increase, being the growth direction of the condyle extremely variable and difficult to predict. The real role of the condyle in the mandibular growth is controversial in craniofacial growth studies. The cartilage of the condyle has a capacity of compensatory growth, generating enough growth to allow adaptation of the mandible to the skull base by articular fossa (mandibular fossa) and to maxillary complex.

In the Control group of our study, the growth of the condyle was significant in all its references, anterior and posterior condylar neck (cla and clp), posterior and superior portion (cop and co), up and back. The anterior condylar region (coa) was an exception and showed no backward growth.

With the use of the appliance in younger children (Group 1) the condyle showed no significant back growth and vertical growth similar to the Control group. In Group 2, with mature children, the condyle showed significant backwards and upwards growth, showing a modification of condylar growth more to posterior and superior as found by Araújo.3 This pattern of condylar growth did not differ from that presented by the children in the Control group, but there was greater vertical growth in both treated groups (1 and 2) and horizontal in Group 2 being discordant from results of Bjork8 who suggests that backward growth from treatment might have been statistically significant compared to the Control group and Huttgren et al,15 who reported that activators caused a redirection of the condyle in posterior position. These results are consistent with Monini,25 who found stability in the direction of condylar growth.

Our study showed that there were significant individual changes, but the comparison between groups, changes in relation to the condyle were not significant, allowing us to reaffirm the hypothesis of several authors3,20 who accepted the redirection of mandibular growth, however, nothing beyond the natural growth potential.

Regarding the mandibular ramus, it was found in the Control group a slip of the ramus to posterior represented by resorption of the anterior ramus (backward and upward) and apposition on the backward posterior. These data were observed both in the upper (rams and rma) and middle ramus (ramp and rmi).

The treated Groups 1 and 2 exhibited a displacement onto the upper anterior ramus and upward and backward in the lower ramus, similar to the Control group. These results are consistent with the process of ramus displacement relative to the mandibular body which occurs naturally during facial skeleton growth and development described by Gu and McNamara.14

The comparative results between the 3 groups analyzed show that the mandibular body showed growth in the vertical direction, without statistical significance, suggesting that Balters bionator did not influenced this growth. These results corroborate with Kessner and Faltin18 because there is a joint remodeling that promotes mandibular adaptation more to anterior without changing mandibular length significantly. Schulhof and Engel,29 disagree with these findings and emphasize that treatment with the bionator appliance promotes an increase in ascending ramus and mandibular body in relation to normal growth.

In the present study there was no significant increase in mandibular ramus because the condyle grew up to 1.68 mm (c), 2.27 mm (g1) and 2.68 mm (g2) and gonion grew in the same direction, from 0.86 mm (c), 1.32 mm (g1) and 1.27 mm (g2), resulting in a small increase in the co-go distance, respectively of 0.82 mm for the Control group, 0.95 mm for Group 1 and 1.41 mm for Group 2. The results found by Reis et al,27 were similar to ours, where Balters bionator stimulated the growth of the mandibular body and ramus similarly in both age groups without modifying the tendency of individual growth. Moreover, Malta et al19 showed that the difference in amount of mandibular growth occurs and is significant (3.3 mm) when comparing cases of Class II patients treated with Balters bionator appliance and untreated, demonstrating that this appliance is efficient.

The data show that the gonion region exhibited significant changes in all studied groups. The points goa, go and gop showed significant upward and backward displacement except for goa in Group 1. The displacement of these points in Group 2 was higher than in other groups, but without statistical significance. These results point to a pattern of remodeling gonion region, especially in mature children, compatible with the natural growth demonstrated by several authors,8,9,10,14 who observed resorption in the mandible posterior border. So, part of the vertical growth seen in the condylar region is partially offset by reabsorption which occurs in the gonion region, resulting in small changes in mandibular ramus height. Bigliazzi, Kessner and Faltin Jr.,7 found that in Class II, division 1, patients with mandibular retrognathia, the gonion angle remained unchanged during the treatment period with bionator.

Clinical observations have shown that the use of orthopedic devices can alter the growth of the mandible, however the exact nature of this change remains a topic of great controversy.13 Our results showed that in the Control group there was a significantly downward movement of menton and that the mandibular border exhibited backward movement without statistical significance. These data are consistent with other studies,14,30 which found bone apposition in the anterior portion of the mandibular border.

In Group 1 occurred forward and downward displacement of the mentum and anterior border, while the posterior border had a backward and upward movement, all insignificant. In Group 2, the mentum presented downward movement and the posterior border a significant backward movement and nothing significant of the anterior and middle border. These data indicate a relative stability of the mandibular lower border, mainly in young children.

The results observed for mature children were similar to the Control group, results that are in accordance with other studies.20,21 On the other hand, Almeida,1 who treated children aged 10.8 months observed an increase in mandibular protrusion and the effective length of the mandibular body, which according to Almeida-Pedrin,2 promoted a significant improvement in the maxillomandibular relationship compared to the Control group, which agrees with the study of Basciftci et al,5 in the same year, that the greatest amount of growth occurs during adolescence.

Opheij et al26 did not find statistical significant skeletal changes in Class II malocclusion patients with mandibular retrognathia, treated with bionator, noticing the most significant effects on the dentoalveolar structures. For Janson17 children treated in the pre-pubertal period exhibited dentoalveolar changes, notably a protrusion of the lower incisors and correction of molar relationship in distal-occlusion. It was observed17 an overjet reduction of approximately 2 mm, similar to what was observed in our study (significant overjet decrease in 1.86 mm in Group 1, compared with 0.72 mm in the Control group and 0.4 mm in Group 2). For Bastos and Mucha,6 one of the bionator indications is when there is a possibility of backward projection of the lower incisors. For Martins21 skeletal changes promoted by bionator occur in 32 % through increased lower facial height and 68 % dentoalveolar movement, higher of lower molars and upper incisors.

In the vertical direction occurred greater amount of eruption of posterior teeth, significant for Group 2 that showed nearly twice eruption of molars (2.37 mm of the first molars, 4.64 mm of second molars and 2.66 mm of the first premolars) when compared to the Control group and Group 1. These facts demonstrate that the bionator appliance with occlusal support allows the active eruption of permanent molars. With respect to premolars, these erupt in more mature individuals (Group 2), mainly due to more advanced stage of root formation that they are. For the authors1,11 there was a significant increase in posterior facial height especially in the treated group with bionator by extrusion of posterior teeth, confirmed by our study when considering the results of the more mature group (Group 2) and the youngest (Group 1), which demonstrated the predominance of dentoalveolar adaptation in the horizontal direction.

CONCLUSION

Due to the methodology adopted in this study and the results, based on statistical analysis, we conclude that:

1 - When it was evaluated the skeletal and dental changes in groups individually, there was growth at all points analyzed.

2 - When the groups were compared with each other, skeletal mandibular changes were similar indicating that the mandibular growth pattern has not changed significantly with the established treatment and.

3 - When it was evaluated dental changes after using bionator, a greater extrusion of the first permanent molars and premolars in more mature group (Group 2) and the labial inclination of the lower incisors was higher in younger patients (Group 1).

Submitted: August 04, 2009

Revised and accepted: December 29, 2010

» The authors report no commercial, proprietary or financial interest in the products or companies described in this article.

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  • 26. Opheij DG, Callaert H, Opdebeeck HM. The effect of the amount of protrusion built into the bionator on condylar growth and displacement: a clinical study. Am J Orthod Dentofacial Orthop. 1989;95(5):401-9.
  • 27. Reis SAB, Moresca R, Goldenberg FC, Vigorito JW. Utilização da análise de Jarabak para a avaliação do tratamento da Classe II, divisão 1, com o Bionator de Balters. Ortodontia. 2000;33(2):42-52.
  • 28. Ruf S, Pancherz H. Temporomandibular joint growth adaptation in Herbst treatment a prospective magnetic resonance imaging and cephalometric roentgenographic study. Eur J Orthod. 1998;20(4):375-88.
  • 29. Schulhof RJ, Engel GA. Results of Class II to functional appliance treatment. J Clin Orthod. 1982;16(9):587-99.
  • 30. Wang MK, Bushang PH, Behrents R. Mandibular rotation and remodeling changes during early childhood. Angle Orthod. 2009;79(2):271-5.
  • Contact address:
    Prof. Paulo Roberto dos Santos-Pinto
    Orthodontic Center - Rua Américo Brasiliense, 1702 - Sala 5
    CEP: 14015-050 - Ribeirão Preto/SP - Brazil
    E-mail:
  • Publication Dates

    • Publication in this collection
      03 Dec 2013
    • Date of issue
      Aug 2013

    History

    • Received
      04 Aug 2009
    • Accepted
      29 Dec 2010
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