The Use of an Individual Jig in Measuring Tooth Length Changes
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1 Original Article The Use of an Individual Jig in Measuring Tooth Length Changes Naphtali Brezniak, MD, DMD, MSD a ; Shay Goren, DMD b ; Ronen Zoizner, DMD b ; Ariel Dinbar, DMD c ; Arnon Arad, DMD d ; Atalia Wasserstein, DMD e ; Moshe Heller, DMD d Abstract: The parallel periapical radiographic technique hides several problems that might affect the image seen on the film. To overcome these problems a special jig with an external wire attached to the tooth surface and parallel to its long axis was suggested. This study examines the accuracy of using an external object for measuring root length differences due to angular changes between the tooth and the film. The rule of three was used for all calculations as a compensating formula. A human central incisor was placed in a special jig. Two different wire lengths ( mm and mm) were attached to the tooth in six different ways. The tooth was radiographed at four different film to tooth angulations. The tooth and wire lengths were measured on the model itself and directly on the scanned film on a computer monitor. The results reveal that a wire, placed nine mm from the crown and parallel to the long axis of the tooth was the best jig for accurately measuring tooth length changes. Neither palatal nor buccal metal wires, intimately attached to the crown of the tooth, can serve as a tool to measure tooth length changes. The study could not find a way to skip the need for a cephalometric radiograph to verify the parallelism between the wire and the long axis of the tooth for this matter. (Angle Orthod 04;74: ) Key Words: Accurate measurement; Root resorption; Special jig INTRODUCTION Orthodontically induced inflammatory root resorption (OIIRR) is a common consequence of orthodontic tooth movement. 1,2 Because it is usually asymptomatic, imaging techniques are the only way to diagnose and measure its severity The periapical radiographic technique is most commonly used for this matter. 3 7 This radiographic technique hides several factors that might affect the image seen on the developed film, ie, magnification error, angular changes between the tooth and the film, difficulties in identifying consistently the same points on the film (the CEJ, a Head of the orthodontic residency, Israel Defence Forces, Tel- Hashomer, Israel. b Captain, Orthodontic Department, Israel Defence Forces, Tel- Hashomer, Israel. c Major, Head of the Orthodontic Department, Israel Defence Forces, Tel-Hashomer, Israel. d Major, Orthodontic Department, Israel Defence Forces, Tel-Hashomer, Israel. e Orthodontic Department, Israel Defence Forces, Tel-Hashomer, and Orthodontic Department, School of Dental Medicine, Tel-Aviv, Israel. Corresponding author: Dr. Naphtali Brezniak, 3 Rav-Ashi St. (#31), Tel-Aviv, Israel. Accepted: November 03. Submitted: October by The EH Angle Education and Research Foundation, Inc. for example), different laboratories, and different technicians Studies that calculate the amount of the OIIRR usually ignore these inherent errors. Therefore, unusual reports such as root elongation after orthodontic treatment in nongrowing patients are not surprising. 3,16 To overcome the problematic usage of reference points on the tooth itself, an external jig with a radiopaque object as a referent length in consecutive exposures was recommended. 7 A special individualized jig with a metal wire parallel to the long axis of the tooth (as verified by a cephalometric film) was built for each patient before orthodontic treatment. The exact length of the wire was known. The tooth was radiographed before and after treatment using the parallel periapical technique. The metal wire served as the reference length for all calculations. 7 The objectives of this study were to Examine the accuracy of using an external jig in different locations and different lengths for measuring root length differences due to angular changes between the tooth and the film. Examine the possibility of directly attaching the external jig to the crown surface to overcome the need for a cephalometric radiograph in order to verify parallelism between the jig and the long axis of the tooth. Angle Orthodontist, Vol 74, No 6,
2 JIG FOR MEASURING TOOTH LENGTH MATERIALS AND METHODS A human maxillary central incisor, extracted because of periodontal reasons, was used in this study. The tooth was placed in a special jig built to imitate the actual clinical conditions of the paralleling periapical radiographic technique. The film was placed 25 mm from the edge of the tooth crown, and the cone was positioned 0 mm from the center of the tooth. A special holding device and the jig kept the film always parallel to the cone, meaning that the central X-ray beam was always perpendicular to the film. The tooth was exposed at angles of,,, and to the film. The films were all developed under the same conditions (Dentax 8 Basic) and later scanned using an Umax Astra S scanner. The image of the tooth was enlarged seven times and was analyzed using Adobe Photoshop 5 software (Adobe, San Jose, Calif). An 11.8-mm wire was attached to the tooth in the following ways: Group a. In contact with the palatal crown surface. Group b. In contact with the buccal crown surface. Group c. At a five-mm distance from the buccal surface parallel to the tooth long axis. Group d. At a nine-mm distance from the buccal surface parallel to the tooth long axis. Group e. At a 13-mm distance from the buccal surface parallel to the tooth long axis. Group f. Another 16-mm wire was attached at a nine-mm distance from the buccal surface parallel to the tooth long axis. Because this was an in vitro study, there was no need to verify the parallelism of the attached wire to the long axis of the tooth with a dedicated radiograph (Figure 1). Once a week for four consecutive weeks, using a dial caliper with ground tips (Dentarum, Pforzheim, Germany) and the tools of Photoshop software, each of two senior residents measured the tooth length and the wire length on the model and directly on the computer monitor. The two lengths served as a database for Calculating the effect of the angular changes of the tooth to the film, (all other parameters remaining constant), on the ratios of wire/tooth lengths at different angles. Calculating the tooth length at different angles using the rule of three mathematical method. Method error Method error analysis was conducted by the two examiners by randomly measuring different parameters on both the tooth and jig model and the computer monitor on two separate occasions. The size of the error was calculated 2 by the formula d /2n, where d is the difference between the two measurements of a pair and n is the number of double measurements. 17 The method error of the measurements was less than 0.2 mm. 781 FIGURE 1. A photograph of the special jig, with the tooth and the attached wire away from the tooth. The wire is parallel to the long axis of the tooth. TABLE 1. The Model Real Tooth and Real Wire Lengths and Their Respective Ratios Tooth Length (mm) Wire Length (mm) Statistics Descriptive statistics and Student s t-test with StatView 5.1 (Cary, NC) on the Macintosh were used for analysis in this study. P.05 was considered as significant. RESULTS Table 1 presents the wires and tooth length and their respective ratios. The ratio between the mm wire and the tooth length is , and the ratio of a mm wire to the tooth length is All ratios that are different from both ratios in Tables 2 through 7 represent magnification errors that lead to inaccurate calculations of the tooth lengths and their changes. The results in Tables 2 and 3 using an mm wire intimately attached to the palatal or facial tooth surface demonstrate that this method is inaccurate in measuring tooth length in consecutive films. For example, when the wire is attached to the palatal side, the ratios increased from at to at. Similar results, but in the opposite direction, occur when the wire is attached to the buccal surface of the tooth. The ratios and the calculated tooth length in groups c to f (Tables 4 through 7) demonstrate that the best results for measuring tooth length changes in consecutive films occur Angle Orthodontist, Vol 74, No 6, 04
3 782 BREZNIAK, GOREN, ZOIZNER, DINBAR, ARAD, WASSERSTEIN, HELLER TABLE 2. The Measurements on the Monitor of the Tooth and Wire Lengths, the Ratios, and the Calculated Tooth Length for mm Wire Placed on the Palatal Side of the Crown (Group a) Calculated TABLE 3. The Measurements on the Monitor of the Tooth and Wire Lengths, the Ratios, and the Calculated Tooth Length for mm Wire Placed on the Buccal Side of the Crown (Group b) Calculated TABLE 4. The Measurements on the Monitor of the Tooth and Wire Lengths, the Ratios, and the Calculated Tooth Length for mm Wire Placed Five mm from the Tooth, Parallel to its Long Axis (Group c) Calculated TABLE 5. The Measurements on the Monitor of the Tooth and Wire Lengths, the Ratios, and the Calculated Tooth Length for mm Wire Placed Nine mm from the Tooth, Parallel to its Long Axis (Group d) Calculated TABLE 6. The Measurements on the Monitor of the Tooth and Wire Lengths, the Ratios, and the Calculated Tooth Length for mm Wire Placed 13 mm from the Tooth, Parallel to its Long Axis (Group e) Calculated with this method when the wire is placed nine mm from the tooth surface. The average changes in both the mm wire and the mm wire is less than one mm (Table 8) with statistical significance (P.05). Table 8 presents the differences between the calculated tooth length and the real tooth length for all groups encountered in the study. Again, it is obvious that when the wire is placed nine mm from the tooth, the results are more ac- Angle Orthodontist, Vol 74, No 6, 04
4 JIG FOR MEASURING TOOTH LENGTH 783 TABLE 7. The Measurements on the Monitor of the Tooth and Wire Lengths, the Ratios, and the Calculated Tooth Length for mm Wire Placed Nine mm from the Tooth, Parallel to its Long Axis (Group f) Calculated TABLE 8. The Differences Between the Calculated and the Real Tooth Lengths at Four Different Angles of the Six Groups in Millimeters. The Average is Related to the Absolute Values of the Difference a Angle ( ) Average SD P Palatal Wire (Group a) Buccal Wire (Group b) /5 (Group c) a Negative signs mean that the calculated tooth length is shorter than the real one. * P /9 (Group d) * 11.8/13 (Group e) /9 (Group f) * TABLE 9. The Angular Changes Effect on the Calculated Tooth Length in the Different Groups in Millimeters. The Average is Related to the Absolute Value of the Difference a Angle Changed ( ) Average P Palatal Wire (Group a) * Buccal Wire (Group b) * 11.8/5 (Group c) * 11.8/9 (Group d) * 11.8/13 (Group e) * 16/9 (Group f) * a Negative signs mean that the calculated tooth became shorter. Opposite angular changes, ie, from to, etc, reverse the signs, meaning that the root became longer. * P.05. curate, meaning that the differences are closer to zero. Table 9 presents the effects of angular changes on the calculations and finds all changes with statistically significant differences other than the expected value of zero. There is no statistically significance difference between the results of groups d and f. DISCUSSION The amount of root shortening during orthodontic treatment is the issue of many publications The accuracy of the method presented lately by Costopulus and Nanda 7 tries to overcome the two problems encountered in analyzing consecutive periapical radiographs, ie, the consistent identification of the CEJ and the magnification factor. The study describes a special jig that was individually built for each patient. Unfortunately, the wire length and its distance from the tooth were not reported in their article; therefore, it was impossible to exactly repeat their experiment. The basic assumption in the article of Costopulus and Nanda 7 is that a radiopaque wire attached to the tooth and parallel to its long axis can serve as an external tool to make length measurements easy and accurate. Because both bodies move during treatment with harmony, their magnification factor will be identical. In other words, it was hypothesized that the ratio between the wire length (which is easily identified on the radiograph) and the tooth length will always remain constant. Therefore, accurate tooth or root length changes in consecutive films can be calculated. Furthermore, the method of Costopulus and Nanda 7 demands that the wire in the special jig that was individually built for each patient will be parallel to the long axis of the tooth. This can be verified only by using a cephalometric radio- Angle Orthodontist, Vol 74, No 6, 04
5 784 BREZNIAK, GOREN, ZOIZNER, DINBAR, ARAD, WASSERSTEIN, HELLER graph, meaning that another exposure to unnecessary radiation is needed. Tables 2 and 3 demonstrate that using wires that are intimately attached to either the palatal surface or the buccal surface of the crown of a tooth cannot serve as an accurate tool to measure tooth length changes due to angular changes between the tooth and the film. For example, in Table 3, we observe that the calculated tooth length for the wire attached to the buccal side of the crown becomes longer by mm because of angular changes from to without any change in its actual length. The calculations would have demonstrated shortening of the tooth if the angular changes between the tooth and the film were reversed (from to ). Furthermore, the results reveal that the larger the angular change, the larger the inaccuracy in calculating the tooth length from the film images. Hence, it can be concluded that intimate wire attachment does not solve the issue of accurately measuring changes of tooth length and hence the amount of OIIRR. Our results demonstrate that there are statistically significant differences in calculating tooth lengths when different wire lengths or different wire locations parallel to the long axis of the tooth are used. It is clear that only when the wire was attached nine mm buccal to the crown, (groups d and f) the measurements became more accurate when compared with the other groups (a, b, c, and e). No statistical difference was found between group d and group f. Several explanations can elucidate these results. (1) It is expected that in the parallel periapical radiographic technique, the X-rays are parallel and perpendicular to the film and the objects. However, there is always a small angle between the rays, which causes some magnification. Figure 2a,b depicts the different magnification changes that affect the tooth and the external wire (see below). (2) The changes in the shadows of an elliptical body (the tooth) due to angular changes between this body and the film are different from the changes in the shadows of a long narrow body (the wire) due to similar angular changes. In the extreme situation one can imagine that there will be no changes in the shadows of a round body when it rotates relative to the film. (3) The radiopacity differences between the tooth and the metal wire make the consistent identification of the apex and crown edge more difficult than the wire edges. This by itself can lead to some calculation errors. In Figure 2a, the tooth and the wire are parallel to the film, where a and b are the measured tooth and wire shadows on the film, respectively. The ratio of their images, b/ a, is close to one (about 0.8). In Figure 2b, a and b represent the same parameters as in Figure 1a and the only change is that the tooth and the wire rotated with harmony. The ratio of their images, b/a, is much less than one (about 0.2). One can conclude that the tooth became shorter during this angular change, although the tooth did not go through any morphological change. The reason that the best results were achieved when the wire was attached nine mm from the FIGURE 2. (a) The tooth and the wire are parallel to the film, where a and b are the measured tooth and wire shadows on the film, respectively. The ratio of their images, b/a, is close to one (about 0.8). (b) a and b represent the same parameters as in Figure 2a, and the only difference is that the tooth and the wire rotated with harmony. The ratio of their images, b/a, is much smaller than 1 (about 0.2). tooth surface is probably because of the fact that during angular changes done in this experiment, the location of the wire maintains the best ratio relative to the tooth changes in the overall X-ray dispersion. CONCLUSIONS Neither palatal nor buccal metal wires attached directly to the crown of the tooth can serve as a tool to accurately measure tooth length changes in consecutive radiographs. A metal wire, attached nine mm from the tooth crown surface and parallel to its long axis serves as the best tool for measuring the amount of tooth length changes compared with five- and 13 mm distances. This was determined with statistical significance. No statistical significance was found between mm and mm wire lengths when both were nine mm from the buccal surface of the tooth and parallel to its long axis. Unfortunately, when accuracy is important, there is no way to skip the extracephalometric radiograph to verify the parallelism between the wire and the long axis of the tooth using this jig method. REFERENCES 1. Brezniak N, Wasserstein A. Orthodontically induced inflammatory root resorption. Part I. The basic science aspects. Angle Orthod. 02;72: Brezniak N, Wasserstein A. Root resorption after orthodontic Angle Orthodontist, Vol 74, No 6, 04
6 JIG FOR MEASURING TOOTH LENGTH 785 treatment: part I. Literature review. Am J Orthod Dentofacial Orthop. 1993;3: Davide A, Mirabella, Artun J. Prevalnce and severity of apical root resorption of maxillary anterior teeth in adult orthodontic patients. Eur J Orthod. 1995;17: Linge L, Linge BO. Patient characteristics and treatment variables associated with apical root resorption during orthodontic treatment. Am J Orthod Dentofacial Orthop. 1991;99: McFadden WM, Engstrom C, Engstrom H, Anholm JM. A study of the relationship between incisor intrusion and root shortening. Am J Orthod Dentofacial Orthop. 1989;96: Dermaut LR, De Munk A. Apical root resorption of upper incisors caused by intrusive tooth movement: a radiographic study. Am J Orthod Dentofacial Orthop. 1986;90: Costopoulus G, Nanda R. An evaluation of root resorption incident to orthodontic intrusion. Am J Orthod Dentofacial Orthop. 1996;9: Bonder L, Bar-ziv J, Becker A. Image accuracy of plain film radiography and computerized tomography in assessing morphological abnormality of impacted teeth. Am J Orthod Dentofacial Orthop. 01;1: Horishi A, Hotokezaka H, Kobayashi K. Correlation between cortical plate proximity and apical root resorption. Am J Orthod Dentofacial Orthop. 1998;114: Parker R, Harris E. Directions of orthodontic tooth movements associated with external apical root resorption of the maxillary central incisor. Am J Orthod Dentofacial Orthop. 1998;114: Taner T, Ciger S, Sencift Y. Evaluation of apical root resorption following extraction therapy in subjects with Cl I and Cl II malocclusions. Eur J Orthod. 1999;21: McNab S, Battistutta O, Tarema A, Symons A. External apical root resorption of posterior teeth in asthmatic after orthodontic treatment. Am J Orthod Dentofacial Orthop. 1999;116: Barr JH, Gron P. Palate contour as a limit factor in intraoral X- ray technique. Oral Surg. 1959;12: Wuehrman AH, Manson-hing LR. Dental Radiology. 4th ed. St. Louis, MO; Mosby; Sarikaya S, Haydar B, Ciger S, Aviyurek M. Changes in alveolar bone thickness due to retraction of anterior teeth. Am J Orthod Dentofacial Orthop. 02;122: Baumrind S, Korn EL, Boyd RL. Apical root resorption in orthodontically treated adults. Am J Orthod Dentofacial Orthop. 1996; 1: Dalhberg G. Statistical Methods for Medical and Biological Students. London: George Allen and Unwin Ltd; 19: Angle Orthodontist, Vol 74, No 6, 04
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