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Dhirawat Jotikasthira, BSc,
  DDS, MDSc1                             CROWN ANGULATION AND INCLINATION
Peter Sheffield, BSc, MS 2               OF NORTHERN THAIS WITH GOOD
Anmol Kalha, OSRE, BSc,
  BDS, MDS3
                                         OCCLUSION
                                               When patients of differing ethnicities are treated with one bracket
Zameer Syed, BDS, MDS4
                                               system, negative consequences for the occlusion can result. This
                                               study investigated the crown angulation and inclination on study
                                               casts of 60 Northern Thais (30 males and 30 females) with a good
                                               occlusion. In all study casts, each tooth (except the third molars) was
                                               evaluated with the orthodontic Torque Angulation Device (TAD) twice
                                               on the right side; this was also performed twice on the left side. The
                                               mean of the two evaluations was used for the statistical analysis. The
                                               means of the males and females were compared with the indepen-
                                               dent Student t test. The results were that the crown angulation of the
                                               mandibular first and second molars was significantly higher in
                                               females (P <.01) and that the crown inclination of all teeth did not dif-
                                               fer between the two sexes. World J Orthod 2010:71–74.


                                               Key words: crown inclination, crown angulation, Northern Thais, normal
                                               occlusion, Torque Angulation Device



                                             ccurate bracket positioning is of            The or thodontic Torque Angulation
                                         A   critical importance for biomechan-
                                         ics and the realization of the potential
                                                                                          Device (TAD) is a device that measures
                                                                                          crown angulation and inclination in a
                                         of preadjusted edgewise appliances.              precise and objective fashion.
                                         Precise measurements of crown angu-
                                         lation and inclination are crucial for the
                                         construction of brackets for a specific          MATERIALS AND METHODS
1Associate
                                         population.
           Professor, Department of
                                            The advent of sophisticated appli-            The materials comprised 60 plaster
 Orthodontics, Faculty of Dentistry,
 Chiang Mai University, Chiang Mai,      ances and materials has helped raise             casts and facial and intraoral pho-
 Thailand.                               the standard of orthodontic treatment.           tographs of Northern Thais (30 males
2Manager, TAD Concept & Dental
                                         As a result, achieving an ideal occlusion        and 30 females) from the Department of
 Laboratory, Hexa Ceram, Chiang          has become a realistic aim. The current          Orthodontics, Faculty of Dentistry, Chi-
 Mai, Thailand.
3Dean and Head, Department of
                                         concepts of ideal static occlusion are           ang Mai University, Thailand. The age
 Orthodontics, Institute Of Dental       based on Andrews’ keys of normal occlu-          distribution by sex and the number of
 Studies and Technology, Dehli,          sion, of which crown angulation and              teeth are shown in Table 1.
 India.                                  inclination are important features. 1
4Tutor, Department of Orthodontics,
                                         Andrews stated that if these key factors         Inclusion criteria were:
 Govt. Dental College, J&K, India.
                                         are not achieved, there will be a space
CORRESPONDENCE                           discrepancy in the dental arch or the            • Excellent or good occlusion with nor-
Dr Zameer Syed                           occlusion will be compromised.1 Crown              mal overjet and overbite
Faculty of Dentistry                     angulation and inclination vary among            • No or only slight incisor crowding
Department of Orthodontics               populations. Only one study to date has          • Pleasing profile
Government Dental College and Hospital
Karan Nagar
                                         described these parameters in Northern           • No interproximal caries or extensive
Srinagar 190010                          Thais. The measuring device used in this           restorations
India                                    investigation was a modified protractor.2        • No previous orthodontic intervention


                                                                                                                                      71

   © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE
                   MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.
Jotikasthira et al                                                                                        WORLD JOURNAL OF ORTHODONTICS



 Table 1 Mean age (y), standard deviation (SD), minimum, maximum, and
 sample size separately and combined for both sexes
                                                                          Total
                      Age      SD          Minimum        Maximum       subjects

Males                 20.18   1.60          16.30           25.90          30
Females               19.19   2.62          15.60           28.80          30
Combined              20.00   2.30          15.60           28.80          60




Fig 1 (right) The orthodontic Torque Angulation Device (TAD). The blade was set to
lie along to long axis of the clinical crown by adjusting the fine angulation knob.
The crown angulation was read from a digital screen.




    Seven orthodontists evaluated all               curvature of the blade fitted optimally the
records to exclude any subject with an              vestibular surface of the tooth being
unacceptable occlusion or facial appear-            measured. After this adjustment, the
ance.                                               crown inclination was displayed.
    On all casts, all teeth (except the third
molars) on the right side were evaluated
twice with the orthodontic Torque Angula-           Statistical methods
tion Device (TAD). The evaluation was also
performed twice on the left side. The               The mean of the first and the second
study casts were fixated on an adjustable           measurement was used for the statistical
table with the horizontal occlusal line             analysis. If the independent Student t test
(HOL) parallel to the TAD platform (Fig 1).         showed no significant difference between
The HOL is an imaginary line connecting             the right and left side, the values from
the right and left midcrown molar points            both sides were combined. The indepen-
and the average of the clinical midcrown            dent Student t test was also used to com-
points of both central incisors.                    pare the means of the males and
    The crown angulation was measured               females. To test the reliability of the mea-
according to Andrews1: The long axis of             surements, the intraobserver difference
clinical crown (LACC) was drawn on the              was calculated on six randomly selected
labial surface of the clinical crown of             models. Pearson correlation coefficient (r)
every tooth (Fig 2). On the LACC of each            was 0.978.
tooth, the midpoint of the clinical crown
(L A point) was marked. It was con-
structed by bisecting the height of the             RESULTS
clinical crown (with 1.0 mm added for the
gingival sulcus) on the LACC.                       Box plots of the crown angulation of all
    The model was then moved toward the             teeth (right and left sides combined) of
blade of the TAD. At the same time, the ta -        both sexes are shown in Fig 3. The crown
ble was adjusted in height. When the blade          angulation of the mandibular first and
was running along the LACC, the crown               second molars was significantly higher
angulation could be read on the display.            (P < .01) in females.
    The crown inclination was recorded by              Box plots of the crown inclination of all
moving the model until the middle of the            teeth (right and left sides combined) of
blade coincided with the LA point and the           both sexes are shown in Fig 4.


 72

   © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE
                   MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.
VOLUME 11, NUMBER 1, 2010                                                                                                                                        Jotikasthira et al



                                                     Male maxillary arch                                                                                 Female maxillary arch
                                                                                     1.88 (0.34)                                      2.79 (0.34)
                 LACC
                                                                                      3.18 (0.48)                                4.61 (0.42)
                A                      LACC
                                                                                       3.72 (0.54)                                    3.81 (0.52)


                                                                                    0.07 (0.44)                                         0.67 (0.50)

                                              I
                                                                                     0.42 (0,43)                                      1.57 (0.49)


                                                                                    0.96 (0,37)                                        0.74 (0.61)
                            LA point
 Occlusal
 plane                                                                             –1.89 (1.09)                                                 –5.17 (1.15)




                                                           –30      –20     –10      0              10        20       20      10           0      –10           –20      –30
Fig 2 Construction of the long axis of the
                                                                              Degrees                                                        Degrees
clinical crown (LACC) and the midpoint of
the clinical crown (LA point) to evaluate                Central incisor                        Lateral incisor             Canine                             First premolar
crown angulation (A) and inclination (I). By
connecting the average of the LA-points of               Second premolar
                                                                                                First molar                 Second molar
the two central incisors with the mid-crown                                  Degrees                                                        Degrees
molar points, the horizontal occlusal line                –30       –20     –10         0          10         20       20      10           0         –10       –20      –30
(HOL) is established as a reference line.
                                                                                        7.92 (0.81)                         11.17 (0.74)


                                                                                      3.29 (0.52)                             6.15 (0.52)


                                                                                     2.18 (0.59)                                     3.00 (0.52)


                                                                                  0.28 (0.52)                                         1.66 (0.57)


                                                                                    0.33 (0.52)                                       –0.26 (0.56)


                                                                                    0.05 (0.48)                                         –0.12 (0.49)


                                                                                    0.05 (0.40)                                       –0.19 (0.45)




Fig 3 Box plot graphs of the crown angula-           Male mandibular arch                                                                              Female mandibular arch

tion of all teeth in both sexes (right and left
sides combined). * = significant difference                                                                              Outlying data                             P < .01
(P < .01) between male and female.




                                          DISCUSSION                                                              CONCLUSION

                                          The values of crown inclination and angu-                               This study investigated the crown angula-
                                          lation measured in this study were simi-                                tions and inclination of Northern Thais with
                                          lar to those of a previous study.2 In the                               good occlusion. Measurements of each
                                          maxillary and mandibular arch, the crown                                tooth (except third molars) from the study
                                          angulations in the present study were                                   casts of 60 subjects (30 males and 30
                                          smaller than those of Andrews,1 except                                  females) were performed twice by using
                                          for the first and second molars.                                        the Orthodontic Torque Angulation Device
                                              The crown angulation of the central                                 (TAD). The means of both measurements
                                          and lateral incisors in the present study                               were used for statistical analysis. The
                                          was greater than that of studies by Vardi-                              respective values of the two sexes were
                                          mon and Lambertz3 and Dellinger.4                                       compared with the independent Student


                                                                                                                                                                                 73

   © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE
                   MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.
Jotikasthira et al                                                                                                                        WORLD JOURNAL OF ORTHODONTICS


                                                                                                                           Fig 4 Box plot graphs of the crown incli-
  Male maxillary arch                                                                              Female maxillary arch
                                              7.32 (0.51)              8.22(0.63)
                                                                                                                           nation of all teeth in both sexes (right and
                                                                                                                           left sides combined).
                                          5.52 (0.61)                        6.65 (0.64)


                         –5.50 (0.67)                                                   –6.79 (0.65)


                        –7.88 (0.67)                                                         –8.33 (0.76)


                    –9.29 (0.62)                                                              –9.25 (0.71)


                        –8.39 (0.70)                                                    –7.83 (0.72)


                  –11.97 (0.86)                                                              –11.90 (0.77)




        –30       –20         –10      0            10       20   20       10           0      –10          –20     –30
                                Degrees                                                  Degrees

      Central incisor                          Lateral incisor         Canine                          First premolar

      Second premolar                          First molar             Second molar

                               Degrees                                                  Degrees
        –30       –20         –10         0        10        20   20       10          0       –10       –20       –30



    –29.15 (0.69)                                                                                           –28.88(0.71)


              –20.38 (0.95)                                                                            –20.23 (0.94)


              –18.38 (0.84)                                                                     –16.48 (1.04)


                    –14.73 (0.89)                                                            –11.52 (0.88)


                                    –0.51 (0.85)                                    –2.89 (0.70)


                                    1.16 (0.82)                                 2.69(0.57)


                                        4.32(0.82)                        5.24 (0.66)


   Male mandibular arch                                                                         Female mandibular arch




                                                                   Outlying data




t test. The results were that females have a                             REFERENCES
significantly higher (P < .01) crown angula-
tion of the mandibular first and second                                    1. Andrew LF. The six keys to normal occlusion.
                                                                              Am J Orthod 1972;62:296–309.
molars and that there is no significant dif-
                                                                           2. Duangtaweeesub S, Jotikasthira D. Crown
ference of the crown inclination of all teeth                                 inclination and crown angulation of northern
between the two sexes.                                                        Thais with good occlusion. CM Dent J 2003;
                                                                              24:61–67.
                                                                           3. Vardimon AD, Lambertz W. Statistical evalua-
                                                                              tion of torque angles in reference to straight-
ACKNOWLEDGMENTS                                                               wire appliance (SWA) theories. Am J Orthod
                                                                              1986;89:55–66.
The authors are grateful to Hexa Ceram, Chiang                             4. Dellinger EL. A scientific assessment of the
Mai Province, Thailand, for providing the Torque                              straight-wire appliance. Am J Orthod 1978;
Angulation Device (TAD). The authors are also                                 73:290–299.
thankful to Dr Piyanart Chatiketu for her sugges-
tions concerning statistical analysis.



 74

    © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE
                    MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.

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Crown Angulation and Inclination with good occlusion

  • 1. Dhirawat Jotikasthira, BSc, DDS, MDSc1 CROWN ANGULATION AND INCLINATION Peter Sheffield, BSc, MS 2 OF NORTHERN THAIS WITH GOOD Anmol Kalha, OSRE, BSc, BDS, MDS3 OCCLUSION When patients of differing ethnicities are treated with one bracket Zameer Syed, BDS, MDS4 system, negative consequences for the occlusion can result. This study investigated the crown angulation and inclination on study casts of 60 Northern Thais (30 males and 30 females) with a good occlusion. In all study casts, each tooth (except the third molars) was evaluated with the orthodontic Torque Angulation Device (TAD) twice on the right side; this was also performed twice on the left side. The mean of the two evaluations was used for the statistical analysis. The means of the males and females were compared with the indepen- dent Student t test. The results were that the crown angulation of the mandibular first and second molars was significantly higher in females (P <.01) and that the crown inclination of all teeth did not dif- fer between the two sexes. World J Orthod 2010:71–74. Key words: crown inclination, crown angulation, Northern Thais, normal occlusion, Torque Angulation Device ccurate bracket positioning is of The or thodontic Torque Angulation A critical importance for biomechan- ics and the realization of the potential Device (TAD) is a device that measures crown angulation and inclination in a of preadjusted edgewise appliances. precise and objective fashion. Precise measurements of crown angu- lation and inclination are crucial for the construction of brackets for a specific MATERIALS AND METHODS 1Associate population. Professor, Department of The advent of sophisticated appli- The materials comprised 60 plaster Orthodontics, Faculty of Dentistry, Chiang Mai University, Chiang Mai, ances and materials has helped raise casts and facial and intraoral pho- Thailand. the standard of orthodontic treatment. tographs of Northern Thais (30 males 2Manager, TAD Concept & Dental As a result, achieving an ideal occlusion and 30 females) from the Department of Laboratory, Hexa Ceram, Chiang has become a realistic aim. The current Orthodontics, Faculty of Dentistry, Chi- Mai, Thailand. 3Dean and Head, Department of concepts of ideal static occlusion are ang Mai University, Thailand. The age Orthodontics, Institute Of Dental based on Andrews’ keys of normal occlu- distribution by sex and the number of Studies and Technology, Dehli, sion, of which crown angulation and teeth are shown in Table 1. India. inclination are important features. 1 4Tutor, Department of Orthodontics, Andrews stated that if these key factors Inclusion criteria were: Govt. Dental College, J&K, India. are not achieved, there will be a space CORRESPONDENCE discrepancy in the dental arch or the • Excellent or good occlusion with nor- Dr Zameer Syed occlusion will be compromised.1 Crown mal overjet and overbite Faculty of Dentistry angulation and inclination vary among • No or only slight incisor crowding Department of Orthodontics populations. Only one study to date has • Pleasing profile Government Dental College and Hospital Karan Nagar described these parameters in Northern • No interproximal caries or extensive Srinagar 190010 Thais. The measuring device used in this restorations India investigation was a modified protractor.2 • No previous orthodontic intervention 71 © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.
  • 2. Jotikasthira et al WORLD JOURNAL OF ORTHODONTICS Table 1 Mean age (y), standard deviation (SD), minimum, maximum, and sample size separately and combined for both sexes Total Age SD Minimum Maximum subjects Males 20.18 1.60 16.30 25.90 30 Females 19.19 2.62 15.60 28.80 30 Combined 20.00 2.30 15.60 28.80 60 Fig 1 (right) The orthodontic Torque Angulation Device (TAD). The blade was set to lie along to long axis of the clinical crown by adjusting the fine angulation knob. The crown angulation was read from a digital screen. Seven orthodontists evaluated all curvature of the blade fitted optimally the records to exclude any subject with an vestibular surface of the tooth being unacceptable occlusion or facial appear- measured. After this adjustment, the ance. crown inclination was displayed. On all casts, all teeth (except the third molars) on the right side were evaluated twice with the orthodontic Torque Angula- Statistical methods tion Device (TAD). The evaluation was also performed twice on the left side. The The mean of the first and the second study casts were fixated on an adjustable measurement was used for the statistical table with the horizontal occlusal line analysis. If the independent Student t test (HOL) parallel to the TAD platform (Fig 1). showed no significant difference between The HOL is an imaginary line connecting the right and left side, the values from the right and left midcrown molar points both sides were combined. The indepen- and the average of the clinical midcrown dent Student t test was also used to com- points of both central incisors. pare the means of the males and The crown angulation was measured females. To test the reliability of the mea- according to Andrews1: The long axis of surements, the intraobserver difference clinical crown (LACC) was drawn on the was calculated on six randomly selected labial surface of the clinical crown of models. Pearson correlation coefficient (r) every tooth (Fig 2). On the LACC of each was 0.978. tooth, the midpoint of the clinical crown (L A point) was marked. It was con- structed by bisecting the height of the RESULTS clinical crown (with 1.0 mm added for the gingival sulcus) on the LACC. Box plots of the crown angulation of all The model was then moved toward the teeth (right and left sides combined) of blade of the TAD. At the same time, the ta - both sexes are shown in Fig 3. The crown ble was adjusted in height. When the blade angulation of the mandibular first and was running along the LACC, the crown second molars was significantly higher angulation could be read on the display. (P < .01) in females. The crown inclination was recorded by Box plots of the crown inclination of all moving the model until the middle of the teeth (right and left sides combined) of blade coincided with the LA point and the both sexes are shown in Fig 4. 72 © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.
  • 3. VOLUME 11, NUMBER 1, 2010 Jotikasthira et al Male maxillary arch Female maxillary arch 1.88 (0.34) 2.79 (0.34) LACC 3.18 (0.48) 4.61 (0.42) A LACC 3.72 (0.54) 3.81 (0.52) 0.07 (0.44) 0.67 (0.50) I 0.42 (0,43) 1.57 (0.49) 0.96 (0,37) 0.74 (0.61) LA point Occlusal plane –1.89 (1.09) –5.17 (1.15) –30 –20 –10 0 10 20 20 10 0 –10 –20 –30 Fig 2 Construction of the long axis of the Degrees Degrees clinical crown (LACC) and the midpoint of the clinical crown (LA point) to evaluate Central incisor Lateral incisor Canine First premolar crown angulation (A) and inclination (I). By connecting the average of the LA-points of Second premolar First molar Second molar the two central incisors with the mid-crown Degrees Degrees molar points, the horizontal occlusal line –30 –20 –10 0 10 20 20 10 0 –10 –20 –30 (HOL) is established as a reference line. 7.92 (0.81) 11.17 (0.74) 3.29 (0.52) 6.15 (0.52) 2.18 (0.59) 3.00 (0.52) 0.28 (0.52) 1.66 (0.57) 0.33 (0.52) –0.26 (0.56) 0.05 (0.48) –0.12 (0.49) 0.05 (0.40) –0.19 (0.45) Fig 3 Box plot graphs of the crown angula- Male mandibular arch Female mandibular arch tion of all teeth in both sexes (right and left sides combined). * = significant difference Outlying data P < .01 (P < .01) between male and female. DISCUSSION CONCLUSION The values of crown inclination and angu- This study investigated the crown angula- lation measured in this study were simi- tions and inclination of Northern Thais with lar to those of a previous study.2 In the good occlusion. Measurements of each maxillary and mandibular arch, the crown tooth (except third molars) from the study angulations in the present study were casts of 60 subjects (30 males and 30 smaller than those of Andrews,1 except females) were performed twice by using for the first and second molars. the Orthodontic Torque Angulation Device The crown angulation of the central (TAD). The means of both measurements and lateral incisors in the present study were used for statistical analysis. The was greater than that of studies by Vardi- respective values of the two sexes were mon and Lambertz3 and Dellinger.4 compared with the independent Student 73 © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.
  • 4. Jotikasthira et al WORLD JOURNAL OF ORTHODONTICS Fig 4 Box plot graphs of the crown incli- Male maxillary arch Female maxillary arch 7.32 (0.51) 8.22(0.63) nation of all teeth in both sexes (right and left sides combined). 5.52 (0.61) 6.65 (0.64) –5.50 (0.67) –6.79 (0.65) –7.88 (0.67) –8.33 (0.76) –9.29 (0.62) –9.25 (0.71) –8.39 (0.70) –7.83 (0.72) –11.97 (0.86) –11.90 (0.77) –30 –20 –10 0 10 20 20 10 0 –10 –20 –30 Degrees Degrees Central incisor Lateral incisor Canine First premolar Second premolar First molar Second molar Degrees Degrees –30 –20 –10 0 10 20 20 10 0 –10 –20 –30 –29.15 (0.69) –28.88(0.71) –20.38 (0.95) –20.23 (0.94) –18.38 (0.84) –16.48 (1.04) –14.73 (0.89) –11.52 (0.88) –0.51 (0.85) –2.89 (0.70) 1.16 (0.82) 2.69(0.57) 4.32(0.82) 5.24 (0.66) Male mandibular arch Female mandibular arch Outlying data t test. The results were that females have a REFERENCES significantly higher (P < .01) crown angula- tion of the mandibular first and second 1. Andrew LF. The six keys to normal occlusion. Am J Orthod 1972;62:296–309. molars and that there is no significant dif- 2. Duangtaweeesub S, Jotikasthira D. Crown ference of the crown inclination of all teeth inclination and crown angulation of northern between the two sexes. Thais with good occlusion. CM Dent J 2003; 24:61–67. 3. Vardimon AD, Lambertz W. Statistical evalua- tion of torque angles in reference to straight- ACKNOWLEDGMENTS wire appliance (SWA) theories. Am J Orthod 1986;89:55–66. The authors are grateful to Hexa Ceram, Chiang 4. Dellinger EL. A scientific assessment of the Mai Province, Thailand, for providing the Torque straight-wire appliance. Am J Orthod 1978; Angulation Device (TAD). The authors are also 73:290–299. thankful to Dr Piyanart Chatiketu for her sugges- tions concerning statistical analysis. 74 © 2009 BY QUINTESSENCE PUBLISHING CO, INC. PRINTING OF THIS DOCUMENT IS RESTRICTED TO PERSONAL USE ONLY. NO PART OF THIS ARTICLE MAY BE REPRODUCED OR TRANSMITTED IN ANY FORM WITHOUT WRITTEN PERMISSION FROM THE PUBLISHER.