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ORIGINAL ARTICLE FREQUENCY OF BOLTON TOOTH SIZE DISCREPANCIES OUTSIDE 2 STANDARD DEVIATION OF THE BOLTON'S MEAN AMONG ORTHODONTIC PATIENTS. Babur Ashraf Quraishi1 Sheeraz Hussain2 Faiza Ansari3 Fareeha Zeeshan4 BDS, FCPS BDS, FCPS, MCPS BDS BDS OBJECTIVE: To evaluate, the mesiodistal dimensions of permanent teeth, frequency of Bolton ratio & the presence of Bolton discrepancy outside 2 SD of the Bolton's mean in an orthodontic population, irrespective of the type of malocclusion. METHODOLOGY: The study was carried out at the department of orthodontics Fatima Jinnah Dental College & Hospital, Karachi. The sample comprised of 150 pairs of good quality pre- treatment study models with fully erupted & complete permanent dentition from first molar to first molar, which were selected from the orthodontic patient pool. Dental casts having grossly carious teeth, prosthesis or anomalies of teeth were not included. The mean, range and standard deviation were calculated for the mesiodistal dimensions of the teeth, anterior ratio and overall ratio.A2- sample t- test was used to test for the statistical difference between means. RESULTS: In general there was no difference between the mesiodistal dimensions of the males and females so the subgroups were combined for further calculations. Mean overall ratio was found to be 91.54 % (SD 2) and the value ranged from 86.42 % to 96.70 %. Mean anterior ratio was found to be 78.85 % (SD 2.3) and the values ranged from 72.49 % to 83.14 %. This study found that 13 subjects (9.1 %) had overall ratio & 22 subjects (14.7 %) had anterior ratio outside 2 SD of Bolton's mean. CONCLUSIONS: With such a high number of significant discrepancies, it is important to routinely perform Bolton tooth size analysis before starting orthodontic treatment as TSD is prevalent among orthodontic patients. KEY WORDS: Bolton tooth size discrepancy, Bolton ratio, tooth size discrepancy (TSD), orthodontic population. J Pak DentAssoc. 2011 (4) ; 250-253 INTRODUCTION F or proper alignment & good interdigitation at the end of orthodontic treatment, the tooth size should 1 be in harmony in both the dental arches . According 2 to Proffit approximately 5% of the population has some degree of discrepancy among the size of individual teeth. 3 In 1902 G.V. Black was the first to develop means & set up tables for mesiodistal dimensions of teeth. Several other authors like Ballard, Neff, Steadman and Lundstrom 4-7 after that followed Black's study with modifications . females with excellent occlusion & developed two ratios using the mesiodistal width. The anterior ratio (77.2 % +/1.65) was obtained by measuring the mesiodistal width from canine to canine in both arches & overall ratio (91.3 % +/- 1.91) which was obtained by measuring mesiodistal width from molar to molar in both arches. The formulas derived by Bolton are as follows: Total ratio (%) = Anterior ratio (%) = Sum of mandibular “6” X 100 Sum of maxillary “6” 1 Bolton in 1958 developed formula relating the maxillary dentition to the mandibular dentition which became a gold standard in orthodontics. He took 55 white 1 2 3 4 Assistant Professor& Head department of Orthodontics, Fatima Jinnah Dental College, Karachi Assistant Professor& Head department of Orthodontics, Karachi Medical & Dental College Demonstrator, Fatima Jinnah Dental College, Karachi Demonstrator, Fatima Jinnah Dental College, Karachi Correspondence: BaburA. Quraishi <[email protected]> Sum of mandibular “12” X 100 Sum of maxillary “12” Bolton concluded that if there is discrepancy in the tooth size ratio then it will be difficult to achieve ideal overjet, overbite and interdigitation at the end of 8 treatment. Stifter applied all the tooth dimensions studies of that time on Class I occlusion cases and came to the conclusion that the anterior ratio is more important for excellent finishing. Evidence exists in the literature that tooth size shows 9,10. 9 racial, ethnic & sex differences Lavelle compared 250 JPDA Vol. 20 No. 04 Oct-Dec 2011 Quraishi B. A / Hussain S / Ansari F / Zeeshan F Frequency of bolton tooth size discrepancies Negroids, Caucasoids and Mongoloids and found greater overall & anterior ratios in Negroids when compared to both Caucasoids and Mongoloids, and the overall ratio was greater in males than in females for all the three races. 10 Smith et al reported that the Bolton's ratio is only applicable for white females & it's not applicable for white 11 males and other races. Crosby & Alexander reported a large number of orthodontic patients presented with a significant Bolton tooth size discrepancy. The objectives of this study were to identify possible sexual dimorphism in mesiodistal dimensions, evaluate anterior & overall ratios and the percentage of patients who presented with a significant tooth size discrepancy greater than 2 SD from Bolton's means, at Fatima Jinnah Dental College & Hospital. RESULTS Tooth measurements & gender: Table I reports the mean, range & standard deviation of the mesiodistal width of maxillary & mandibular teeth, from central incisor to 1st molar in both males & females. In this sample the mesiodistal dimensions of teeth for males were slightly larger than that of females but no sexual dimorphism was observed, hence both male & female subgroups were combined to evaluate the Bolton ratio. Tooth Mesiodistal dimensions of the teeth were measured using digital calipers with sharpened points (Sontax Co., Japan) up to 0.01 decimal at contact points. The mesiodistal width was obtained, by measuring the maximum distance between the mesial and distal contact points of the tooth on a line parallel to the occlusal plane, 12 as described by Morrees . A single investigator (F.A) measured the casts and not more than 10 casts were done in a day to avoid eye fatigue. The measurements were inserted in the Bolton formula and values for the anterior and overall ratio were obtained. Mandibilar Central 5.57 4.6-6.4 Lateral 5.2-7.0 6.0 Canine 6.92 6.1-8.1 Ist Premolar 7.18 6.3-8.3 2nd Premolar 7.01 5.9-8.9 Ist Molar 11.20 9.9-12.8 0.39 5.43 0.41 5.94 0.45 6.64 0.42 7.07 0.59 7.09 0.71 10.87 4.7-6.3 5.0-7.0 5.6-7.9 5.6-8.5 5.9-8.9 9.4-12.5 P-Value 0.32 0.64 0.05 0.98 0.52 0.21 0.27 0.33 0.05 0.22 0.42 0.05 0.37 0.37 0.40 0.48 0.53 0.62 Table 1: Mean, Range & Standard Deviation for the mesiodistal dimensions for Males & Females (mm) Anterior and Overall ratio: Table 2 summarizes the mean overall ratio, which was found to be 91.54 with a standard deviation of 2.0. The value ranged from a low of 86.42 to a high of 96.70 with the median as 91.55. The mean anterior ratio for the orthodontic sample was found to be 77.85 with a standard deviation of 2.3. The values ranged from 72.49 to a high of 83.14. The overall & anterior ratios were also compared to Statistical analysis: The mean, range and standard deviation were calculated for the tooth widths. To determine gender differences independent sample t- tests were performed using Statistical Package for Social Sciences (SPSS) version 13.0. The second part of the study was to evaluate the percentage of patients who had tooth size discrepancies which were within one, two or more than two standard deviations from Bolton's mean. The mean, range & standard deviation were calculated for both the overall ratio & anterior ratio. JPDA Vol. 20 No. 04 Oct-Dec 2011 Females Maxillary Mean Range SD Mean Range SD Central 8.83 7.8-10.0 0.65 8.59 7.3-10.0 0.56 Lateral 6.91 5.5-8.2 0.55 6.87 5.7-8.7 0.52 Canine 7.94 6.0-9.0 0.59 7.67 6.6-8.8 0.45 Ist Premolar 7.05 6.0-8.0 0.44 7.11 5.8-8.2 0.50 2nd Premolar 6.67 5.2-7.6 0.55 6.65 5.6-7.9 0.49 Ist Molar 10.36 8.9-12.0 .64 10.21 8.9-11.7 0.55 METHODOLOGY The data for the present study was obtained from the records taken at Fatima Jinnah Dental College. One hundred & fifty pre-treatment study casts were selected from a pool of 950 patients presenting for orthodontic treatment irrespective of their molar classification. There were 109 females ( 72.7%) & 41 males ( 27.3%) and they were selected on the basis that all permanent teeth were present from 1st molar to 1st molar in both maxillary & mandibular arches, no previous orthodontic treatment 12- 30 with age range of years. The dental casts were of good quality and there were no mesiodistal cavities, fillings, fractured teeth or prosthetic replacements. There were no obvious inter-proximal or occlusal wear. Casts having missing, impacted teeth or gross abnormalities were rejected. Males 251 Bolton Study Bolton Study Sample Size 55 150 Anterior Ratio Mean 77.2 77.85 SD 1.65 2.28 Range 5.9 10.69 Minimum 74.5 72.9 Maximum 80.4 83.14 Overall Ratio Mean 91.3 91.54 SD 1.91 2.0 Range 7.3 10.28 Minimum 87.5 86.42 Maximum 94.8 96.70 Table 2: Statistical parameters obtained in the present study compared to Bolton study Quraishi B. A / Hussain S / Ansari F / Zeeshan F Frequency of bolton tooth size discrepancies the Bolton's original sample, though readings of the present study were slightly higher for both the ratios but it was statistically insignificant. Frequency 91.30 is Bolton mean 89.39- 91.29 & 91.31- 93.21 within 1 SD 87.48- 89.38 & 93.22- 95. 12 within 2 SD <87.47 & >95.13 outside 2 SD. 50 45 TSD & its Clinical significance: 40 Table 3 gives the frequency of the tooth size discrepancies of 1, 2 and more than 2 SD from the Bolton mean for the anterior and overall ratios. . Of the 150 cases 13 (9.1 %) cases had overall ratios outside the 2 SD from the Bolton's mean (fig 1). About 22 (14.7 %) subjects had anterior ratio that fell outside of 2 SD from the Bolton's mean value (fig 2). 35 Anterior Ratio 30 25 20 15 Overall Ratio Number Percentage Number Percentage 66 62 22 44 40.6 14.6 102 35 13 67.9 23 9.1 Bolton + -1SD Bolton + -2SD Bolton + ->SD 10 5 0 Table 3: Number and percentage distribution of Anterior & Overall TSD from Bolton's SD means. Frequency Percentage <73.89 73.9075.54 75.5577.19 <-2SD -2SD -1SD 77.20 Mean Valid 77.2178.85 78.8680.50 1SD 2SD >80.57 >2SD Figure 2: Anterior Ratio: the percentage of subjects in this study categorized by the SD of Bolton's original study. Percentage Comparison of present study with other populations: 60 Table 4 compares the anterior and overall ratios of the present study with the other studies done exclusively on subjects selected irrespective of the type of malocclusion. 50 40 DISCUSSION 30 20 10 0 <87.47 87.4889.38 89.3991.29 <-2SD -2SD -1SD 91.30 Mean Valid 91.3193.21 93.329512 1SD 2SD >95.13 >2SD Figure 1: Overall Ratio: the percentage of subjects in this study categorized by the SD of Bolton's original study. Author Crosby & Alexander Freeman et al13 Santoro et al16 Araujo & Souki19 Bernabe et al15 Othman & Harradine 14 Othman et al2 1 11 Population Country Orthodontic Orthodontic Orthodontic Orthodontic School Orthodontic Am erican Am erican Dominican Brazilian Peruvian British Sam ple Size 109 157 54 300 200 150 A nterior TS D% 22.9 30.6 28.0 22.7 20.5 17.4 Overall TSD% ___ 13.5 11.0 ___ 5.4 5.4 In this study, 150 study models were selected out of 950 patients meeting the inclusion criteria. Although the means of the present study and that of Bolton study were similar the ranges and standard deviations of the present study are significantly larger. This result has been 11,13-20 supported by other studies and can be due to the fact that in our study all the malocclusions were present in contrast to Bolton who selected only excellent occlusion 1 subjects. Bolton suggested that values outside 1SD from his reported mean requires consideration but many 11,13,15,16 authors have considered a threshold of 2 SD to be a clinically significant Bolton discrepancy.Again the reason for this difference of selection for standard deviation is that Bolton used cases with excellent occlusion and the other studies used subjects with malocclusion. In a normally distributed population, 5% of subjects would fall 2 SD from the mean. The present study found Dental Malaysian 40 47.5 10 that 9.1 % of the sample had overall tooth width ratios school Al- Omari School Jordanian 367 23.7 9.5 greater than 2 SD (5 % greater than - 2 SD & 4.1 % greater Present S tudy Orthodontic Pakistani 150 14.7 9.1 than +2 SD) from Bolton's mean (fig 1) and similar results 11,13-17,19,21 . The anterior ratio in the Table 4: Present & previous studies, showing prevalence of were found by others present sample was 14.7 % greater than 2 SD (6 % greater discrepancies outside Bolton's 2 SD mean. 17 252 JPDA Vol. 20 No. 04 Oct-Dec 2011 Quraishi B. A / Hussain S / Ansari F / Zeeshan F Frequency of bolton tooth size discrepancies than - 2 SD & 8.7 % greater than + 2 SD) from Bolton's mean. The results of the present study for the overall ratio 17 were similar to Al- Omari , less than that of other 13, 16, 21 14 studies and higher than Othman and Harradine . When the anterior ratio of the present study was compared to the other studies, it was found to be the least. Almost all 11, 13-21 studies had a higher percentage of TSD for anterior ratio. The reason for variation in results for these studies is variation in the composition, selection and number of 3 examiners doing the measurements. Freeman et al1 had 24 different examiners and this can introduce errors in measurement as inter-examiner errors were not reported 21 by them. Although Othman et al did perform intra and inter-examiner systematic and random errors but their sample size was very small having only 40 dental students from University of Malaya. The results from such small sample size may not be a true reflection of the Malaysian population, as a very high percentage (47.5 %) of the dental subjects had anterior TSD outside the 2SD Bolton mean. The current study found no gender differences and 14,19,22,23 this trend is supported by other studies , the sample was selected with strict selection criteria having subjects of Pakistani origin therefore representative of all malocclusions for our population. The findings of the present study suggest that a large number of orthodontic patients have a Bolton tooth size discrepancy outside of Bolton 2 SD. This may influence treatment goal and results so Bolton tooth size analysis should be performed on all patients prior to initiation of orthodontic treatment rather than only for cases with small lateral incisors or premolars as reported by Proffit. 7. 8. 9. 10. 11. 12. 13. 14. 15. 16. CONCLUSION 17. About 14.7 % of the orthodontic patients had anterior tooth size discrepancy and 9.1 % had overall tooth size discrepancy greater than Bolton 2 standard 18. deviations. 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