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Change in crown inclination accompanying initial tooth alignment with round archwires

ABSTRACT

Objective:

To evaluate, in-vitro, the change in crown inclination that occurs during orthodontic leveling and alignment using different archwire-bracket-ligation combinations.

Materials and Methods:

Four archwire types were tested: (1) 0.012-in stainless steel and (2) 0.0155-in stainless steel multi-stranded, (3) 0.012-in nitinol Orthonol® and (4) 0.012-in nitinol Thermalloy®. Combinations with five types of 0.022-in slot orthodontic brackets were tested: SmartClipTM and Time3® self-ligating brackets, Mini-Taurus® and Victory SeriesTM conventional brackets, and Synergy® conventional-low friction bracket. Conventional brackets were ligated with both stainless steel and elastomeric ligatures. The simulated malocclusion comprised 2.0mm gingival and 2.0mm labial displacements of a maxillary right central incisor. Rotation around the Y-axis (representing labio-palatal inclination) was measured for the different archwire-bracket-ligation combinations.

Results:

The largest rotation was measured whith Orthonol® and Thermalloy® wires when combined with SmartClipTM brackets (8.07±0.24º and 8.06±0.26º, respectively) and with Synergy® brackets ligated with stainless steel ligatures (8.03±0.49º and 8.0±0.37º, respectively). The lower rotation was recorded when Thermalloy®, multi-stranded, and Orthonol® wires were ligated with elastomeric rings to Mini-Taurus® brackets (1.53±0.18º, 1.65± 0.23º and 1.70±0.28º, respectively) and to Victory SeriesTM brackets (1.68± 0.78º, 2.92± 1.40º and 1.74±0.46º, respectively).

Conclusions:

All archwire-bracket-ligation combinations produced lingual crown inclination; however, lower changes were observed when the conventional brackets were ligated with elastomeric rings. The multi-stranded archwire produced less rotation with nearly every bracket-ligation combination, compared to the other archwires. The effect of the archwire-bracket-ligation combination on tooth inclination during leveling and alignment should be considered during planning treatment mechanics.

Keywords:
Inclination; Tooth alignment; Orthodontic archwires; Orthodontic brackets

RESUMO

Objetivo:

Avaliar, in vitro, as mudanças na inclinação das coroas dentárias que acontecem durante o alinhamento e nivelamento usando diferentes combinações de arcos/braquetes/ligaduras.

Material e Métodos:

Foram usados quatro tipos de arcos ortodônticos: (1) 0,012” de aço inoxidável, (2) 0,0155” de aço multifilamentado, (3) Orthonol® 0,012” de nitinol e (4) Thermalloy® 0,012” de nitinol. Esses arcos foram combinados com cinco tipos de braquetes ortodônticos com slot 0,022”: braquetes autoligáveis SmartClipTM e Time3®, braquetes convencionais Mini-Taurus® e Victory SeriesTM, e braquetes convencionais de baixo atrito Synergy®. Os braquetes convencionais receberam ligaduras de aço ou elastoméricas. A má oclusão simulada foi composta por um deslocamento do incisivo central superior direito em 2 mm para a cervical e 2 mm para a vestibular. A rotação ao redor do eixo Y (representando a inclinação vestibulolingual) foi medida para as diferentes combinações de arco/braquete/ligadura.

Resultados:

A maior rotação foi medida quando os arcos Orthonol® e Thermalloy® foram usados com os braquetes SmartClipTM (8,07±0,24º e 8,06±0,26º, respectivamente) e com os braquetes Synergy® com ligaduras metálicas (8,03±0,49º e 8,0±0,37º, respectivamente). A menor rotação foi vista quando os arcos Thermalloy®, multifilamentado e Orthonol® foram presos por ligaduras elastoméricas aos braquetes Mini-Taurus® (1,53±0,18º, 1,65±0,23º e 1,70±0,28º, respectivamente) e aos braquetes Victory SeriesTM (1,68±0,78º, 2,92±1,40º e 1,74±0,46º, respectivamente).

Conclusões:

todas as combinações arco-braquete-ligadura produziram inclinação palatina da coroa. Entretanto, as menores mudanças foram observadas quando os braquetes convencionais receberam ligaduras elastoméricas. O arco multifilamentado produziu menor rotação com quase todas as combinações braquete-ligadura, em comparação aos outros arcos. O efeito da combinação arco-braquete-ligadura na inclinação dentária durante o alinhamento e nivelamento deve ser considerado durante o planejamento da mecânica dos tratamentos.

Palavras-chave:
Inclinação; Alinhamento dentário; Arcos ortodônticos; Braquetes ortodônticos

INTRODUCTION

Andrews,11 Andrews LF. The six keys to normal occlusion. Am J Orthod. 1972 Sep;62(3):296-309. in his prominent article introducing the six keys to normal occlusion, described the importance of adjusting the maxillary incisors’ labio-palatal inclination to achieve normal overbite and proper posterior occlusion. Since then, controlling maxillary incisors’ inclination for the achievement of pleasing esthetics and convenient occlusion has been well established in Orthodontics.22 Gioka C, Eliades T. Materials-induced variation in the torque expression of preadjusted appliances. Am J Orthod Dentofacial Orthop. 2004 Mar;125(3):323-8. In-vitro and in-vivo studies have investigated the relationship between tooth inclination and arch perimeter33 Jain M, Vyas M, Singh JR. Effect of crown angulation of maxillary incisor on effective arch perimeter. J Clin Diagn Res. 2017 Jun;11(6):ZC92-6., smile and facial features,44 Zarif Najafi H, Oshagh M, Khalili MH, Torkan S. Esthetic evaluation of incisor inclination in smiling profiles with respect to mandibular position. Am J Orthod Dentofacial Orthop. 2015 Sep;148(3):387-95.,55 Al-Abdwani R, Moles DR, Noar JH. Change of incisor inclination effects on points A and B. Angle Orthod. 2009 May;79(3):462-7. forces and moments generated,66 Kanjanaouthai A, Mahatumarat K, Techalertpaisarn P, Versluis A. Effect of the inclination of a maxillary central incisor on periodontal stress: finite element analysis. Angle Orthod. 2012 Sep;82(5):812-9.,77 Choi SH, Kim YH, Lee KJ, Hwang CJ. Effect of labiolingual inclination of a maxillary central incisor and surrounding alveolar bone loss on periodontal stress: a finite element analysis. Korean J Orthod. 2016 May;46(3):155-62., and perceived tooth color.88 Ciucchi P, Kiliaridis S. Incisor inclination and perceived tooth color changes. Eur J Orthod. 2017;39(5):554-9. Emphasis has shifted in Orthodontics from molars to incisors; at first to the mandibular incisors and then to the maxillary incisors. This shift happened with advances in orthodontic and orthognathic techniques that made the position of the maxillary incisors the start point in certain treatment plans.99 McLaughlin RP, Bennett JC, Trevisi HJ. Systematized orthodontic treatment mechanics. 5th ed. St Louis: Mosby; 2005.

The crown inclination is a feature that could be manipulated with rectangular archwires at the finishing stage of orthodontic treatment by creating a moment generated by the torsion of a rectangular archwire in the bracket slot.1010 Rauch DE. Torque and its application to orthodontics. Am J Orthod. 1959;45(11):817-30. This action requires full-size archwires to avoid play between the archwire and the slot walls.1111 Fattori L, Brangeli LAM, Capelozza Filho L. Assessment of tooth inclination in the compensatory treatment of pattern II using computed tomography. Dental Press J Orthod. 2010;15(5):118-29.,1212 Ruellas AC, Pithon MM, Santos RL. Maxillary incisor retraction: evaluation of different mechanisms. Dental Press J Orthod. 2013;18(2):101-7. However, archwire of a round cross-section is the standard choice for initial leveling and alignment.1313 Cobb NW 3rd, Kula KS, Phillips C, Proffit WR. Efficiency of multi-strand steel, superelastic Ni-Ti and ion-implanted Ni-Ti archwires for initial alignment. Clin Orthod Res. 1998 Aug;1(1):12-9. Round archwires produce tipping movement, thus changing crown inclination, which may be or may not be desired. Archwire material choices for leveling and alignment include, but are not limited to, stainless steel and nitinol.1414 Gravina MA, Brunharo IH, Fraga MR, Artese F, Campos MJ, Vitral RW, et al. Clinical evaluation of dental alignment and leveling with three different types of orthodontic wires. Dental Press J Orthod. 2013;18(6):31-7.

Thus, the objective of this study was to evaluate, in-vitro, the change in crown inclination that occurs during the orthodontic leveling and alignment of a displaced central incisor using different archwire-bracket-ligation combinations.

MATERIAL AND METHODS

Material: Four archwire types; two stainless steel (1) 0.012-in stainless steel (3M Unitek, Monrovia, Ca) and (2) 0.0155-in multi-stranded (Advanced Orthodontics, Näpflein GmbH, Düsseldorf, Germany); and two nitinol wires (3) 0.012-in Orthonol® (Rocky Mountain Orthodontics, Denver, Co) and (4) 0.012-in Thermalloy® (Rocky Mountain Orthodontics, Denver, Co) were used in combination with five types of 0.022-in slot orthodontic brackets: (1) SmartClipTM (3M Unitek, Monrovia, Ca) passive self-ligating bracket, (2) Time3® (American Orthodontics, Sheboygan, WI) active self-ligating bracket, (3) Mini-Taurus® (Rocky Mountain Orthodontics, Denver, Co) conventional bracket, (4) Victory SeriesTM (3M Unitek, Monrovia, Ca) conventional bracket, and (5) Synergy® (Rocky Mountain Orthodontics, Denver, Co) conventional low-friction bracket. Two ligation methods were used: (1) Stainless steel wire ligatures and (2) Elastomeric rings. Each archwire-bracket-ligation combination was tested 20 times using a new archwire each time.

Testing machine: The Orthodontic Measurement and Simulation System (OMSS) is based on two sensors capable of 3D-recording of forces and moments. The OMSS is built in a temperature-controlled compartment. This is especially important for heat-managed alloys; therefore, during testing the nitinol archwires the temperature was kept at 37±1°C. Further details about the OMSS and its applications in orthodontics can be found in articles devoted to that purpose.1515 Drescher D, Bourauel C, Thier M. Application of the orthodontic measurement and simulation system (OMSS) in orthodontics. Eur J Orthod. 1991 Jun;13(3):169-78.,1616 Bourauel C, Drescher D, Thier M. An experimental apparatus for the simulation of three-dimensional movements in orthodontics. J Biomed Eng. 1992;14(5):371-8.

Preparing the measurement setup: Brackets were bonded with a cyanoacrylate adhesive from the right second premolar to the left second premolar of fabricated maxillary arch resin models. These resin models had the right central incisor removed to create a space for a bracket holder that would be connected to one of the sensors of the OMSS. The tested archwire was then tied to the conventional brackets with either stainless steel ligatures or elastomeric rings. The ligature wires or the elastomeric rings were tied around the two central wings of the six wings of the Synergy® bracket. Tying the steel ligatures around the bracket wings was short one turn from complete tightening, to ensure free play between the wire and the brackets. In the case of self-ligating brackets, the archwire was inserted and then the clips or doors of the self-ligating brackets were closed. The right central incisor bracket was then bonded to a bracket holder using a jig to standardize the position to be repeated with every bracket. The design of the setup included positioning the center of resistance of the simulated misaligned central incisor at 10.0mm apically and 4.5mm lingual to the point of the force application. This position was set based on the design of the whole setup and the position of the bracket and the bracket holder, representing the simulated displaced central incisor.

Measurement procedures: Resin model was fixed in its position of the OMSS, and the bracket holder, with the right central incisor bracket bonded to it, was fixed to one of the force sensors of the OMSS (Fig 1). The sensor was adjusted to occupy the place of the removed right central incisor, aligning the bracket with the rest of the brackets bonded to the resin model. At this point, the archwire was tied to the bracket on the holder. The whole assembly now simulated an aligned arch. With this arrangement, the labio-palatal rotation would be along the Y-axis. The OMSS was set to move the bracket holder from the initial position 2.0mm in the gingival (X-axis) and 2.0mm in labial (Z-axis) directions, and then move in reverse to the initial position in 0.01mm increments. The bracket holder was adjusted so the initial forces and moments recorded by the sensor were as close to zero as possible. This start position was reproduced for each measurement.

Figure 1:
Representation of the intended simulation; 2.0mm labial and 2.0mm gingival displacements.

Data extraction: Data was transferred from the OMSS software to Excel® sheets.

Data organization and statistical analyses: The maximum absolute values of rotation around the Y-axis were arranged in the Excel® sheets, and descriptive statistics including means and standard deviations were calculated for each archwire-bracket-ligation combination. Raw data was tested for normality and, as the data revealed normal distribution, a two-way analysis of variance ANOVA followed by Tukey Post-Hoc Test and Student t-test was employed using IBM SPSS Statistics for Windows (version 20.0, IBM Corp., Armonk, NY).

RESULTS

The results of two-way ANOVA (Table 1) revealed a statistically significant effect of the bracket (F = 132.759, p< 0.001) and the archwire (F = 28.836, p< 0.001) selections on the rotation of the tooth around the Y-axis, and also a significant interaction between bracket type and archwire type (F = 8.609, p< 0.001).

Table 1:
Results of two-way ANOVA.

From the pairwise comparisons (Table 2) between different brackets, when used with the same archwire and different ligation methods, noticeable less rotation was observed with conventional brackets ligated with elastomeric rings, compared to all other combinations. Comparing rotation produced by one archwire type ligated with steel ligatures versus elastomeric rings to a conventional bracket, showed a significant difference in the case of Mini-Taurus® and Victory SeriesTM brackets but, not in the case of Synergy® brackets. Pairwise comparisons (Table 3) revealed that different archwires produced different effects when combined with the same bracket type ligated in the same way, except when archwires were combined with Synergy® brackets ligated with elastomeric rings (p=0.466) and with Time3® (p=0.465).

Table 2:
Pairwise comparisons between rotations produced by the same leveling archwire when combined with the different brackets.

The boxplots compare changes in crown inclination produced by self-ligating brackets to conventional brackets ligated with stainless steel ligatures (Fig 2) and elastomeric rings (Fig 3). The figures show that, contrary to the two other conventional brackets, the low-friction Synergy® bracket ligated with elastomeric rings produced rotation comparable to that produced by self-ligating brackets and conventional brackets ligated with stainless steel ligatures.

Figure 2:
Change in central incisor crown inclination by different archwires ligated to self-ligating and conventional brackets with stainless steel ligatures.

Figure 3:
Change in central incisor crown inclination by different archwires ligated to self-ligating and conventional brackets with elastic ligatures.

DISCUSSION

The registered changes in the maxillary incisor inclination in the present study varied significantly between the different archwire-bracket-ligation combinations; however, the direction of the change was constantly negative (-). According to the sign system proposed by Burstone and Koenig1717 Burstone CJ, Koenig HA. Force systems from an ideal arch. Am J Orthod. 1974 Mar;65(3):270-89., the forces acting in the mesial, labial or buccal, and incisal or occlusal directions are positive (+), while forces acting in distal, lingual or palatal, and gingival directions are negative (-). Similarly, moments (couples) producing mesial and labial or buccal crown movements are positive (+), and moments producing distal, and lingual or palatal crown movements are negative (-). Applying these rules on the experimental setup of the present study, the positive (+) rotation would be a labial crown inclination, while the negative (-) rotation would be lingual crown inclination. The simulated malocclusion of 2.0mm gingival and 2.0mm labial displacements resulted in incisal and palatal forces at the bracket. The palatal force generates a negative moment, tending to rotate the crown palatally, and the extruding force generates a negative moment, rotating the crown palatally. The net result is a negative moment resulting from the forces and lever arms. The simulated malocclusion in the current study was corrected by round wires that cannot create a counteracting moment.

Evaluating changes in crown inclination produced by each bracket when combined with the different archwires, as seen in Table 2, less rotation was produced by conventional brackets ligated with elastomeric rings. Compared to the two other conventional brackets, Synergy® brackets ligated with elastomeric rings produced comparable or more rotation. In the current study, the elastomeric ring was tied around the two central wings of the Synergy® bracket, which are raised, preventing the contact between the archwire and the ligature and thus ensuring free play between the archwire and the bracket slot walls. Meanwhile, steel ligature was tied slightly loose because this is the preferred method during leveling and alignment to allow free sliding and efficient tooth movement with less force exerted on the tooth. The play between the wire and the bracket slot is probably the most important factor influencing the labio-palatal inclination of teeth.1818 Cozzani M, Azizi A, Eslami S, Darnahal A, Pirhadirad A, Jamilian A. 3-dimensional finite element analysis of the outcomes of Alexander, Gianelly, Roth and MBT bracket prescription. Int Orthod. 2019 Mar;17(1):45-52. Multi-stranded archwires produced less rotation with every bracket-ligation combination. The rotation was significantly higher when Mini-Taurus® and Victory SeriesTM brackets were ligated with stainless steel ligatures than elastomeric rings, but Synergy® brackets showed insignificant difference and significantly higher rotation with multi-stranded archwire ligated with elastomeric rings. Because of the nature of this in-vitro study, new elastomeric rings were used for ligating each archwire. Controlling rotation could be the result of the seating force of the new elastomeric on the archwire. However, elastomeric rings deteriorate quickly in the oral cavity to the extent that they have been found to lose 40% of their force in the first 24 hours.1919 Taloumis LJ, Smith TM, Hondrum SO, Lorton L. Force decay and deformation of orthodontic elastomeric ligatures. Am J Orthod Dentofacial Orthop. 1997 Jan;111(1):1-11. Frequent change of the elastomeric rings might be needed to overcome material deterioration and keep the control on rotation. Tight steel ligature would be required.

There was no statistical difference, as shown in Table 3, in rotation produced by any of the archwires used in the current study between SmartClipTM a passive self-ligating bracket, and Synergy® a low friction conventional bracket whether ligated with stainless steel or elastomeric rings. The design of the Synergy® bracket and the method of ligating the archwire around the central wings (elastomeric rings or loose steel ligatures) made it comparable to the passive self-ligating bracket. The rotation produced by the two types of steel archwires was higher with Time3® brackets than SmartClipTM brackets, but differences were not significant. The rotation that was produced by the two types of nitinol archwires was higher with SmartClipTM brackets than Time3® brackets, and the difference was significant in case of Orthonol® archwire. It is noted that the active self-ligating Time3® brackets showed a wide range of rotation values with multi-stranded and Thermalloy® archwires, this evidence could be attributed to the interaction of the clip with these archwire materials while exerting a seating force on the archwire.

Table 3:
Pairwise comparisons between rotations produced by the different leveling archwires when combined with the same bracket type

The change in crown inclination in the present study is the result of a rotational moment dependent on the force applied on the tooth and the distance from that point of force application to the designated center of resistance of the simulated misaligned central incisor. In this study design, the distance was standardized for all tests, therefore the changing factor is the force applied to the tooth from each archwire-bracket-ligation combination. These archwire-bracket-ligation combinations showed a significant interaction between the archwire and the bracket type, and a consistently higher force applied on the displaced central incisor when elastomeric rings were used, which consequently affected the correction of the malocclusion.2020 Montasser MA, El-Bialy T, Keilig L, Reimann S, Jäger A, Bourauel C. Force levels in complex tooth alignment with conventional and self-ligating brackets. Am J Orthod Dentofacial Orthop. 2013 Apr;143(4):507-14.,2121 Montasser MA, Keilig L, Bourauel C. An in vitro study into the efficacy of complex tooth alignment with conventional and self-ligating brackets. Orthod Craniofac Res. 2015 Feb;18(1):33-42.

Orthodontic tooth movement is the result of a combination of many mechanical factors related to the bracket-archwire-ligation combination, including: bracket prescription, bracket slot dimension, bracket material, archwire dimension, archwire material, inter-bracket distance, and method of ligation (stainless steel wire, elastomeric rings or self-ligation).2222 Schudy GF, Schudy FF. Intrabracket space and interbracket distance: critical factors in clinical orthodontics. Am J Orthod Dentofacial Orthop. 1989 Oct;96(4):281-94.

23 Cash AC, Good SA, Curtis RV, McDonald F. An evaluation of slot size in orthodontic brackets--are standards as expected? Angle Orthod. 2004 Aug;74(4):450-3.

24 Hemingway R, Williams RL, Hunt JA, Rudge SJ. The influence of bracket type on the force delivery of Ni-Ti archwires. Eur J Orthod. 2001 Jun;23(3):233-41.

25 Khamatkar A, Sonawane S, Narkhade S, Gadhiya N, Bagade A, Soni V, et al. Effects of different ligature materials on friction in sliding mechanics. J Int Oral Health. 2015 May;7(5):34-40.
-2626 Galvão MB, Camporesi M, Tortamano A, Dominguez GC, Defraia E. Frictional resistance in monocrystalline ceramic brackets with conventional and nonconventional elastomeric ligatures. Prog Orthod. 2013 May;14:9. The oral environment, however, adds additional elements to these factors. Saliva, thermocycling, and forces of occlusion lead to aging and deterioration of the orthodontic materials. Anisotropic periodontal ligament may also complicate the prediction of tooth movement.2727 Sifakakis I, Pandis N, Makou M, Eliades T, Katsaros C, Bourauel C. Torque efficiency of different archwires in 0.018- and 0.022-inch conventional brackets. Angle Orthod. 2014 Jan;84(1):149-54. Even with the application of the same force system, different responses are expected depending on the surrounding environment and involved biological factors that make tooth movement occurs in a certain plane more easily than it occurs in the other planes.2828 Mulligan TF. Common sense mechanics. Phoenix: CSM; 1982. Since mechanics is a major factor that affects force/moment systems from the start of treatment, controlling tooth inclination should be planned from the leveling and alignment because of the different requirements among the types of malocclusion and the individual cases in each malocclusion type. Manipulating tooth inclination from the start would help clinicians to limit the need for bends and other auxiliaries in later stages.

Clinically, multiple teeth or arch segments involved in the malocclusion will lead to complex force systems that sometimes might be hard to predict. Realizing the true complexity of the force systems that could result from the used biomechanics in the oral cavity would help clinicians to use biomechanics more efficiently and simply.2828 Mulligan TF. Common sense mechanics. Phoenix: CSM; 1982.

Clinical relevance: Results could be useful as a guide when comparing orthodontic materials and planning biomechanics. Results contribute primarily to the understanding of the performance of an orthodontic appliance and how the outcomes are affected by each of the appliance components, as well as the interplay among the components that are in the present study: archwire, bracket, and ligation.

CONCLUSIONS

  1. Conventional brackets ligated with elastomeric rings produced the smallest rotation; however, low-friction conventional brackets did not show similar behavior.

  2. Passive self-ligating bracket and low-friction conventional bracket produced comparable rotation.

  3. Multi-stranded archwires produced less rotation with every bracket-ligation combination, compared to the other archwires.

  4. Controlling tooth inclination could start from the leveling and alignment stage by careful selection of the archwire-bracket-ligation combination.

REFERENCES

  • 1
    Andrews LF. The six keys to normal occlusion. Am J Orthod. 1972 Sep;62(3):296-309.
  • 2
    Gioka C, Eliades T. Materials-induced variation in the torque expression of preadjusted appliances. Am J Orthod Dentofacial Orthop. 2004 Mar;125(3):323-8.
  • 3
    Jain M, Vyas M, Singh JR. Effect of crown angulation of maxillary incisor on effective arch perimeter. J Clin Diagn Res. 2017 Jun;11(6):ZC92-6.
  • 4
    Zarif Najafi H, Oshagh M, Khalili MH, Torkan S. Esthetic evaluation of incisor inclination in smiling profiles with respect to mandibular position. Am J Orthod Dentofacial Orthop. 2015 Sep;148(3):387-95.
  • 5
    Al-Abdwani R, Moles DR, Noar JH. Change of incisor inclination effects on points A and B. Angle Orthod. 2009 May;79(3):462-7.
  • 6
    Kanjanaouthai A, Mahatumarat K, Techalertpaisarn P, Versluis A. Effect of the inclination of a maxillary central incisor on periodontal stress: finite element analysis. Angle Orthod. 2012 Sep;82(5):812-9.
  • 7
    Choi SH, Kim YH, Lee KJ, Hwang CJ. Effect of labiolingual inclination of a maxillary central incisor and surrounding alveolar bone loss on periodontal stress: a finite element analysis. Korean J Orthod. 2016 May;46(3):155-62.
  • 8
    Ciucchi P, Kiliaridis S. Incisor inclination and perceived tooth color changes. Eur J Orthod. 2017;39(5):554-9.
  • 9
    McLaughlin RP, Bennett JC, Trevisi HJ. Systematized orthodontic treatment mechanics. 5th ed. St Louis: Mosby; 2005.
  • 10
    Rauch DE. Torque and its application to orthodontics. Am J Orthod. 1959;45(11):817-30.
  • 11
    Fattori L, Brangeli LAM, Capelozza Filho L. Assessment of tooth inclination in the compensatory treatment of pattern II using computed tomography. Dental Press J Orthod. 2010;15(5):118-29.
  • 12
    Ruellas AC, Pithon MM, Santos RL. Maxillary incisor retraction: evaluation of different mechanisms. Dental Press J Orthod. 2013;18(2):101-7.
  • 13
    Cobb NW 3rd, Kula KS, Phillips C, Proffit WR. Efficiency of multi-strand steel, superelastic Ni-Ti and ion-implanted Ni-Ti archwires for initial alignment. Clin Orthod Res. 1998 Aug;1(1):12-9.
  • 14
    Gravina MA, Brunharo IH, Fraga MR, Artese F, Campos MJ, Vitral RW, et al. Clinical evaluation of dental alignment and leveling with three different types of orthodontic wires. Dental Press J Orthod. 2013;18(6):31-7.
  • 15
    Drescher D, Bourauel C, Thier M. Application of the orthodontic measurement and simulation system (OMSS) in orthodontics. Eur J Orthod. 1991 Jun;13(3):169-78.
  • 16
    Bourauel C, Drescher D, Thier M. An experimental apparatus for the simulation of three-dimensional movements in orthodontics. J Biomed Eng. 1992;14(5):371-8.
  • 17
    Burstone CJ, Koenig HA. Force systems from an ideal arch. Am J Orthod. 1974 Mar;65(3):270-89.
  • 18
    Cozzani M, Azizi A, Eslami S, Darnahal A, Pirhadirad A, Jamilian A. 3-dimensional finite element analysis of the outcomes of Alexander, Gianelly, Roth and MBT bracket prescription. Int Orthod. 2019 Mar;17(1):45-52.
  • 19
    Taloumis LJ, Smith TM, Hondrum SO, Lorton L. Force decay and deformation of orthodontic elastomeric ligatures. Am J Orthod Dentofacial Orthop. 1997 Jan;111(1):1-11.
  • 20
    Montasser MA, El-Bialy T, Keilig L, Reimann S, Jäger A, Bourauel C. Force levels in complex tooth alignment with conventional and self-ligating brackets. Am J Orthod Dentofacial Orthop. 2013 Apr;143(4):507-14.
  • 21
    Montasser MA, Keilig L, Bourauel C. An in vitro study into the efficacy of complex tooth alignment with conventional and self-ligating brackets. Orthod Craniofac Res. 2015 Feb;18(1):33-42.
  • 22
    Schudy GF, Schudy FF. Intrabracket space and interbracket distance: critical factors in clinical orthodontics. Am J Orthod Dentofacial Orthop. 1989 Oct;96(4):281-94.
  • 23
    Cash AC, Good SA, Curtis RV, McDonald F. An evaluation of slot size in orthodontic brackets--are standards as expected? Angle Orthod. 2004 Aug;74(4):450-3.
  • 24
    Hemingway R, Williams RL, Hunt JA, Rudge SJ. The influence of bracket type on the force delivery of Ni-Ti archwires. Eur J Orthod. 2001 Jun;23(3):233-41.
  • 25
    Khamatkar A, Sonawane S, Narkhade S, Gadhiya N, Bagade A, Soni V, et al. Effects of different ligature materials on friction in sliding mechanics. J Int Oral Health. 2015 May;7(5):34-40.
  • 26
    Galvão MB, Camporesi M, Tortamano A, Dominguez GC, Defraia E. Frictional resistance in monocrystalline ceramic brackets with conventional and nonconventional elastomeric ligatures. Prog Orthod. 2013 May;14:9.
  • 27
    Sifakakis I, Pandis N, Makou M, Eliades T, Katsaros C, Bourauel C. Torque efficiency of different archwires in 0.018- and 0.022-inch conventional brackets. Angle Orthod. 2014 Jan;84(1):149-54.
  • 28
    Mulligan TF. Common sense mechanics. Phoenix: CSM; 1982.

Publication Dates

  • Publication in this collection
    04 July 2022
  • Date of issue
    2022

History

  • Received
    25 Nov 2020
  • Accepted
    18 Feb 2021
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