Ultrasonic tips as an auxiliary method for the instrumentation of oval-shaped root canals

To evaluate the influence of novel ultrasonic tips as an auxiliary method for the rotary preparation of flattened/oval-shaped canals. Fortyfive mandibular incisors were selected and divided into one of three experimental groups (n = 15): Group PFCP – ProDesign Logic 25/.05 + Flatsonic + Clearsonic + Prodesign Logic 40/.01; Group FCP – Flatsonic + Clearsonic + ProDesign Logic 40/.01; and Group PP – Prodesign Logic 25/.05 + Prodesign Logic 40/.05. The teeth were scanned preoperatively and postoperatively using microcomputed tomography. The percentage values for increase in volume, non-instrumented surface area, dentin removal, degree of canal transportation, and centering ratio between the experimental groups were examined. Data were analyzed using the non-parametric Kruskal-Wallis and Dunn’s tests (p < 0.05). Group PFCP showed the greatest volume increase in the total portion of the root canal and the lowest percentage of non-instrumented surface area. Regarding the degree of transportation in the buccolingual direction, statistically significant differences between groups PFCP and PP were observed at the coronal third of the canal. In the mesiodistal direction, no statistically significant differences were observed at the coronal, middle, and apical thirds. As for the centering ratio, statistically significant differences were found in the buccolingual direction. In the mesiodistal direction, no statistically significant differences were observed at the coronal, middle, and apical thirds. The use of novel ultrasonic tips combined with rotary instruments in group PFCP provided a significant increase in volume and reduced the percentage of non-instrumented areas during the preparation of flattened/oval-shaped canals.


Introduction
The literature has reported the prevalence of mandibular incisors with flat oval-shaped root canals. 1,2,3,4,5The presence of these anatomical features has been associated with complications during instrumentation with hand and engine-driven instruments, hindering the cleanliness of the root canal system. 6,7,8,9,10,11,12,13Nickel-titanium (NiTi) instrumentation tends to maintain a self-centered position during rotation, creating a circular bulge and producing a smear layer in the prepared portions of Declaration of Interests: The authors certify that they have no commercial or associative interest that represents a conflict of interest in connection with the manuscript.
the root canal walls, whereas pulp remnants and infected dentin remain in the areas untouched by endodontic files. 11Microcomputed tomography (µCT) studies have revealed that more than half of the root canal walls (ranging from 59.6% to 79.9%) remain unprepared in oval-shaped canals, irrespective of the instrumentation technique. 14Microcomputed tomography imaging technology allows detailed visualization of the morphological characteristics of teeth. 4,14,15Thus, µCT has been proposed as a suitable outcome parameter to compare the shaping ability of different endodontic instruments and techniques, offering promising results. 14n controlled memory (CM) technology, endodontic instruments are subjected to a special heat treatment process after machining of conventional NiTi wire, including high martensitic crystal content in order to improve their mechanical behavior. 16Recently, CM rotary files, ProDesign Logic 25/.05 and 40/.05 (Easy Equipamentos Odontológicos, Belo Horizonte, Brazil) have been introduced.In addition, the manufacturer presented a new CM rotary file with size 40 and taper 01.On the other hand, ultrasonic instrumentation has been proposed in the literature as an auxiliary approach, in combination with endodontic instruments, for improving the cleanliness of the root canal system. 17,18Two novel ultrasonic tips (Flatsonic and Clearsonic, Helse Ultrasonic, Santa Rosa de Viterbo, Brazil) with an arrow section have been proposed as an alternative method for the instrumentation of flattened/oval-shaped canals.We expect that the combination of different instrumentation techniques will provide adequate shaping of the root canal system by enhancing preparation of the root canal surface. 17,18he aim of this study was to evaluate the influence of novel ultrasonic tips as an auxiliary method for the rotary preparation of flattened/oval-shaped canals.The null hypothesis tested was that these novel ultrasonic tips would not influence the root canal preparation of flattened/oval-shaped canals.

Methodology
Sample size was calculated using the G*Power v3.1 for Mac (Heinrich Heine, Universität Düsseldorf) by selecting the one-way fixed effects ANOVA.The data from a previous study on oval-shaped root canal instrumentation were used and the effect size was established in the present study (=0.65). 19An alpha error of 0.05 and a beta power of 0.95 were also stipulated.A total of 14 specimens per group were indicated as the ideal size required for noting significant differences.An additional specimen per group was used to compensate for possible loss during the experiments.
Forty-five mandibular incisors extracted from patients in a Brazilian population for reasons unrelated to this study were acquired after approval of the study protocol by the Human Research Ethics Committee (CEP 2.112.063).Teeth with two root canals, with an open apex, or with previous endodontic treatment were excluded.The samples were scanned before and after the instrumentation protocols with a Skyscan 1174 microcomputed tomography system (Bruker-microCT, Kontich, Belgium).The parameters used were 50 kV, 800 mA, and a voxel size of 16.8 μm.The system included a charge-coupled device camera (1304_1024 pixels).Radiographic images of each sample were reconstructed by using the NRecon software (Bruker-microCT Kontich, Belgium).Three-dimensional models were reconstructed after the segmentation and binarization processes with CTAn v.1.12software (Bruker-microCT Kontich, Belgium).CTVol v.2.2.1 and Data Viewer software programs (Bruker-micro CT Kontich, Belgium) were used for visualizing and evaluating the internal anatomy according to a novel classification. 20Only 1 TN 1 mandibular incisors with an oval-shaped configuration were selected.An oval canal was identified when the buccolingual diameter was twice as long as or longer than the mesiodistal diameter. 21CTan v.1.12software (Bruker-microCT Kontich, Belgium) was also used to calculate the volume of the samples of all root canal walls (mesial/ distal/buccal/lingual).
During the experimental procedures, all the specimens were placed in a custom-made metallic muffle prepared for each specimen and fixed internally with silicone impression material to simulate clinical conditions.Access cavities were performed with a size 2 high-speed diamond bur (FG 1012 KG Sorensen, São Paulo, Brazil) under water spray.The working length was determined by placing a size 15 K-file (Dentsply Maillefer, Ballaigues, Switzerland) into the canal until it was visible at the root apex under the dental operating microscope (Alliance Microscopia, São Carlos, Brazil), and was established 1 mm short of this length.The samples (n = 45) were divided into one of the three experimental groups according to the anatomy of the specimens and to the preparation technique.An endodontic specialist performed all the procedures under a dental operating microscope at 6x magnification (Alliance Microscopia, São Carlos, Brazil).

Experimental groups
Group PFCP: ProDesign Logic 25/.05 + Flatsonic (coronal and middle thirds) + Clearsonic (coronal and middle thirds) + Prodesign Logic 40/.01 (n = 15) A size 15 K-file (Dentsply Maillefer, Ballaigues, Switzerland) was passively inserted along the working length of the root canals.The ProDesign Logic 25/.05 instrument was operated in rotating motion powered by a torque-limited electric motor (Easy Equipamentos Odontológicos, Belo Horizonte, Brazil) at 950 rpm and 4 N/cm torque in accordance with the manufacturer's instructions.The instrument was introduced into the root canal until resistance was felt and a brushing motion within a 3-mm amplitude limit was applied three times.Subsequently, the instrument was removed and cleaned and the root canal was irrigated with 3 mL of 1% sodium hypochlorite (NaOCl).This sequence was repeated until 2/3 of the working length was reached.An ultrasonic tip with a flattened arrow design (Flatsonic, Helse Ultrasonic, Santa Rosa de Viterbo, Brazil) (0.25-mm diameter tip) (Figure 1A) mounted in an ultrasonic device (NSK Brasil Ltda, São Paulo, Brazil) at a frequency of 30 kHz was used; it was activated using three cycles of 20 seconds in the buccolingual direction in order to touch these walls.The protocol for this procedure, determined after a pilot study, was repeated three times, and after each cycle, 3 mL of 1% sodium hypochlorite (NaOCl) was used.This protocol was determined after a pilot study.Another ultrasonic tip with a convex arrow design (Clearsonic, Helse Ultrasonic, Santa Rosa de Viterbo, Brazil) (0.50-mm diameter tip) (Figure 1B) was used, applying the same protocol for the ultrasonic instrumentation of the root canal as previously described.The ProDesign Logic 40/.01 instrument was operated at 350 rpm and 1 N/cm torque in accordance with the manufacturer's instructions and under the experimental conditions described for the use of these rotary files.Afterwards, the instrument was removed and cleaned and the root canal was irrigated with 3 mL of 1% sodium hypochlorite (NaOCl).This sequence was repeated  A B until the working length of the root canal was reached.Subsequently, a final irrigation protocol was used.Two milliliters of 1% NaOCl was refreshed and ultrasonically activated with an ultrasonic device (NSK, Brasil Ldta, São Paulo, Brazil) using an Irrisonic tip (size 20, 0.01 taper) (Helse Ultrasonic, Santa Rosa de Viterbo, Brazil) set to low power, three times for 20 seconds each.The specimens were flushed with 17% EDTA for 3 minutes and ultrasonically activated for 60 seconds.The root canals were flushed with 2 mL of 1% NaOCl and ultrasonically activated three times for 20 seconds each. 22The specimens were finally rinsed with saline solution and dried with sterile paper points.Thereafter, the samples were scanned for the last time using standardized parameters, as previously explained.

Group FCP: Flatsonic (coronal and middle thirds) + Clearsonic (coronal and middle thirds) + ProDesign Logic 40/.01 (n = 15)
A size 15 K-file (Dentsply Maillefer, Ballaigues, Switzerland) was passively inserted along the working length of the root canals.Afterwards, these instruments were used under the same experimental conditions as described for Group PFCP.Then, a final irrigation protocol was used and the samples were scanned for the last time using standardized parameters, as previously mentioned.

Group PP: Prodesign Logic 25/.05 + Prodesign Logic 40/.05 (n = 15)
A size 15 K-file (Dentsply Maillefer, Ballaigues, Switzerland) was passively inserted along the working length of the root canals.The ProDesign Logic 25/.05 instrument was operated in rotating motion, powered by a torque-limited electric motor (Easy Equipamentos Odontológicos, Belo Horizonte, Minas Gerais, Brazil) at 950 rpm and 4 N/cm torque in accordance with the manufacturer's instructions.The instrument was introduced into the root canal until resistance was felt and a brushing motion within a 3-mm amplitude limit was applied three times.Subsequently, the instrument was removed and cleaned and the root canal was irrigated with 3 mL of 1% sodium hypochlorite (NaOCl).This sequence was repeated until the working length was reached.
Afterwards, the ProDesign Logic 40/.05 instrument was operated at 950 rpm and 4 N/cm torque in accordance with the manufacturer's instructions.The instrument was introduced into the root canal until resistance was felt and a brushing motion within a 3-mm in amplitude limit was applied three times.Subsequently, the instrument was removed and cleaned and the root canal was irrigated with 3 mL of 1% sodium hypochlorite (NaOCl).This sequence was repeated until the working length was reached, and a final irrigation protocol was used.Finally, the samples were scanned for the last time.

Measurement of canal volume and surface area
After the different instrumentation protocols, reconstructed images were geometrically registered with the preoperative datasets using the DataViewer software (Bruker-microCT, Kontich, Belgium) for a quantitative comparison of the morphological parameters before and after the shaping procedures. 23oth canal volume (mm 3 ) and surface areas (i.e., amount of dentin removal) were measured by subtracting the scores for the treated canals from those recorded for the untreated counterparts using the CTAn v.1.124] Matched images of the surface areas of the canals before and after the action of the endodontic instrument and/or ultrasonic tips were examined to evaluate the amount of unprepared canal wall surface after the instrumentation techniques used in this study.This parameter was expressed as a percentage of the number of static surface voxels to the total number of surface voxels. 23,24The pre-and post-instrumentation scans were superimposed to determine the percentage of increase in volume and non-instrumented surface area.

Evaluation of centering ability
According to Gambill et al., 25 'the mean centering ratio' indicates the ability of the instrument to remain centered in the canal.Using the CTAn v.1.12software (Bruker-microCT, Kontich, Belgium), cross-sectional images of the teeth were obtained.A modification of this method was applied with the purpose of obtaining the centering ability in the buccolingual direction as well.The dimensions were determined by measuring the shortest distance from the edge of the unprepared canal to the edge of the tooth in the mesiodistal and buccolingual directions and by comparing these values with those measured in the prepared canals.The measurements of the distance of the points of interest were taken with the CTAn v.1.12software (Bruker-microCT, Kontich, Belgium) for each level. 24his ratio was calculated for each section as follows: According to our modification of the method developed by Gambill et al., 25 X 1 was the shortest distance from the buccal aspect of the root to the periphery of the unprepared canal; X 2 was the shortest distance from the buccal aspect of the root to the periphery of the prepared canal; Y 1 was the shortest distance from the lingual aspect of the root to the periphery of the unprepared canal; Y 2 was the shortest distance from the lingual aspect of the root to the periphery of the prepared canal.A result of '0' indicated no canal transportation.
If these numbers were not equal, the lower figure was considered as the numerator of the ratio.According to this formula, a result of '1' indicated perfect centering.

Canal transportation
To analyze the extent of canal transportation, a method designed by Gambill et al. 25 was used, as well as a modification of this technique, as previously described.Transportation was evaluated at three levels (cervical, middle, and apical third) using the CTAn v.1.12software (Bruker-microCT, Kontich, Belgium).The dimensions were determined by measuring the shortest distance from the edge of the unprepared canal to the edge of the tooth in both mesiodistal and buccolingual directions and by comparing these values with those measured in the prepared root canals.
The following formula was used for the transportation calculation: A result of '0' indicated no canal transportation.

Statistical analysis
The Graph Pad Prism 6's (GraphPad Software, Inc., California, USA) software was used for data analysis, and the non-parametric Kruskal-Wallis and Dunn's tests were performed because of the presence of non-normal distribution, confirmed by the Shapiro-Wilk test.The significance level was set at 5%.

Volume increase and non-instrumented surface area
As regards the increase in volume and noninstrumented surface area, statistically significant differences between groups PFCP and PP were found in the total portion of the root canal (p < 0.05; Table 1).Group PFCP showed the greatest percentage increase in volume (171%) and the lowest percentage of non-instrumented surface area (18%) (p < 0.05; Table 1; Figure 2).On the other hand, no statistically significant differences were observed between groups PFCP and FCP.As to the percentage increase in volume at the apical third, no statistically significant differences were found between the instrumentation techniques used in this study.
Table 1.Percentage values of increase in volume in the total portion and at the apical third of the root canal and in the noninstrumented surface area in the total portion of the root canal (median, minimum-maximum).

Dentin removal
For the mesial wall, statistically significant differences were found at the middle third between groups FCP and PP (p < 0.05; Table 2).Group PP provided the highest percentage of dentin removal (17%) when compared with group FCP (8%).No statistically significant differences were found for the mesial wall at the coronal and apical thirds.Concerning the distal wall, statistically significant differences were found only at the apical third (p < 0.05; Table 2).Between groups FCP and PP, PP had the highest percentage of dentin removal (23%).No statistically significant differences were found for the distal wall at the coronal and middle thirds.On the buccal wall, statistically significant differences were observed at the coronal third between groups FCP and PP (p < 0.05; Table 2).As a result, the percentage of dentin removal was higher for group FCP (12%).No statistically significant differences were found for the buccal wall at the middle third.Furthermore, Front and side views (buccal, lingual, mesial, and distal).Representative cross-sections of the superimposed flattened/ovalshaped mandibular incisors before (red) and after (green) endodontic instrumentation in each experimental group at the coronal, middle, and apical thirds.(B) Representative reconstructions of the superimposed specimens before (red) and after (green) endodontic instrumentation in FCP -front and side views (buccal, lingual, mesial, and distal).Representative cross-sections of the superimposed flattened/oval-shaped mandibular incisors before (red) and after (green) endodontic instrumentation in each experimental group at the coronal, middle, and apical thirds.(C) Representative reconstructions of the superimposed specimens before (red) and after (green) endodontic instrumentation in PFCP.Front and side views (buccal, lingual, mesial, and distal).Representative cross-sections of the superimposed flattened/oval-shaped mandibular incisors before (red) and after (green) endodontic instrumentation in each experimental group at the coronal, middle, and apical thirds.C statistically significant differences were observed between groups PFCP and PP at the apical third of the root canal.In this case, the highest percentage of dentin removal was produced by the instrumentation protocol used in group PP (18%).As regards the lingual wall, statistically significant differences were found at the coronal third (p < 0.05; Table 2).When compared with groups PFCP and FCP, group PP showed the lowest percentage of dentin removal (7%).No statistically significant differences were observed at the middle third of the root canal between the instrumentation protocols used in this study.At the apical third of the lingual wall, statistically significant differences were found between groups FCP and PP, at which group PP showed the highest percentage of dentin removal (18%).

Transportation values
In the buccolingual direction, transportation occurred in the lingual aspect of the root in most of the instrumented root canals, showing statistically significant differences between groups PFCP and PP at the coronal third of the root canal (p < 0.05; Table 3).PP showed the lowest transportation values.No statistically significant differences were found at the middle and apical thirds.In the mesiodistal direction, no statistically significant differences were found at the coronal, middle, and apical thirds between the three instrumentation protocols used in this study (p < 0.05; Table 3).

Centering ratio
In the buccolingual direction, statistically significant differences were observed between groups PFCP and PP and between groups FCP and PP at the coronal third of the root canal (p < 0.05; Table 3).Thus, PP showed the highest centering ratio at the coronal third of the root canals prepared with the three instrumentation protocols evaluated in this study.No statistically significant differences were found at the middle third of the root canals.At the apical third, statistically significant differences were observed between groups PFCP and PP.Therefore, group PFCP displayed the highest centering ratio.In the mesiodistal direction, no statistically significant differences were observed at the coronal third between the three instrumentation protocols used in this study (p < 0.05; Table 3).However, statistically significant differences were found between groups FCP and PP at the middle third of the root canal.The highest

Discussion
In the present study, the effect of novel ultrasonic tips as an auxiliary method for the rotary preparation of flattened/oval-shaped canals with the aid of the dental operating microscope was evaluated by µCT.The present study considered several variables: changes in volume and surface area, centering ability, degree of canal transportation, and percentage of dentin removal produced by different instrumentation protocols.These protocols included the combination of rotary CM instruments with ultrasonic tips.The influence of these protocols on the instrumentation of flattened/oval-shaped canals was determined by µCT scans.µCT imaging is a high-resolution research tool that allows the development of accurate three-dimensional models and the acquisition of quantitative data. 157] In the same way, the use of the dental operating microscope has been widely accepted as an important technological asset in endodontics. 28,29,30,31,32oper biomechanical preparation of the root canal space is essential for a successful endodontic therapy. 33The shaping and cleaning of ovalshaped canals represent a challenge because these root canals tend to have a greater buccolingual dimension and endodontic instruments tend to remain at the center of the canal. 11,19,34This leads to non-instrumented areas that could influence the outcome of the treatment. 11,13,19However, it has been observed that the efficacy of instrumentation is closely associated with the canal anatomy and pathosis than with the use of any mechanical devices. 35 The different instrumentation protocols used in this study produced significant gains in canal volume and surface area, resulting in considerable reduction of non-instrumented areas (Table 1; Figure 2).The use of new auxiliary methods should favorably influence the treatment prognosis. 35The instrumentation technique applied in group PFCP produced the highest increase in volume in the total portion of the root canal and showed the lowest percentage of non-instrumented surface area (p < 0.05).These results suggested that when a rotary instrument (ProDesign Logic 25/.05) was used prior to the ultrasonic tips (Flatsonic and Clearsonic), there was a significant reduction in the percentage of non- instrumented surface area (18%).Therefore, the use of an engine-driven instrument to create a glide path is recommended to aid the action of the Flatsonic tip with its flattened design and a diameter of 0.25 mm in anatomically complex areas.This protocol facilitated the use of the Clearsonic tip, which has a 0.5-mm diameter, corresponding to ISO file size 50.However, no statistically significant differences were found between groups PFCP and FCP, indicating that both protocols in which ultrasonic tips were used showed identical and favorable results.A higher percentage of increase in volume provided a lower percentage of non-instrumented areas and may improve the cleaning of the root canal system.Similarly, no statistically significant differences were found between the experimental groups when the percentage of increase in volume at the apical third was evaluated.These results could be explained by the use of only rotary instruments at the apical third.Weller et al. 18 observed similar results in a study in which the use of ultrasound after manual instrumentation contributed 88% (in human teeth) to 92% (in resin blocks) to debridement when loss of radioactivity was measured.Since this is the first study considering the association of these rotary files with ultrasonic tips for the shaping of oval-shaped root canals, the presence of discrepancies in experimental designs and results between studies should be emphasized.Canal volume is a variable used to analyze the effects of canal instrumentation on dentin removal. 24elative to the mesial wall, the statistically significant differences at the middle third could be explained by the use of ProDesign Logic 25/.05 and ProDesign Logic 40/.05 files in PP, which produced a greater wear in this portion of the root (p < 0.05; Table 2).Concerning the distal wall, statistically significant differences were only found at the apical third, where PP also showed the highest percentage of dentin removal.These results could be explained by the use of an instrument of a larger taper in this region.The larger the taper, the higher the amount of prepared surface area in the root canal walls. 14Larger apical preparations have been associated with improvements in disinfection and cleaning procedures, reducing the bacterial load in the root canal system. 14Regarding the buccal wall, statistically significant differences were observed at the coronal third between groups FCP and PP, where the protocol used in group FCP demonstrated a significant increase in dentin removal.These results might be related to the use of the ultrasonic tips before the creation of a glide path with an engine-driven instrument and to their direction of action in the buccolingual plane.At the apical third, the greatest percentage of dentin removal was detected in the protocol in which only rotary instruments (Group PP) were used.Concerning the lingual wall, statistically significant differences were observed at the coronal third for group PFCP, which was possibly related to the direction of action of the ultrasonic tips in the buccolingual plane.However, statistically significant differences were found at the apical third, where only rotary instruments (Group PP) were used, showing the greatest percentage of dentin removal.These results could be associated with the use of ProDesign Logic 40/.05, which has a greater taper, being more rigid and producing a greater wear in this area. 21s to the buccal and lingual walls, statistically significant differences were observed at the coronal third, where the use of ultrasonic tips demonstrated a significant increase in dentin removal, related to their direction of action in the buccolingual plane.However, statistically significant differences were found at the apical third, where only rotary instruments (Control Group: PP) were used and the highest percentage of dentin removal was detected.
As far as transportation values are concerned, statistically significant differences were observed between groups PFCP and PP at the coronal third of the root canal, where PP showed the lowest transportation values (p < 0.05; Table 3).These results were associated with the protocol without the use of ultrasonic tips as an auxiliary method for shaping oval-shaped root canals and they could be explained by the use of ultrasonic tips in the buccolingual direction, which had greater action in this region.This suggests that ultrasonic tips should be used with caution at the coronal third.These results were in agreement with those of another study, in which the Prodesign Logic system showed one of the lowest transportation values at the coronal third. 37Regarding transportation values at the middle and apical thirds in the buccolingual direction, no statistically significant differences were found.On the other hand, in the mesiodistal direction, no statistically significant differences were observed between the three experimental groups, at the coronal, middle, and apical thirds.Consequently, all the protocols showed a satisfactory performance concerning transportation values in this study.The results of this study are at odds with those of other traditional publications, in which ultrasonic instrumentation created an irregular shape in the root canal, particularly 3 to 6 mm from the root apex. 38,39However, when compared with the current study, those investigations differed in technological advances and in the experimental designs used by the authors.
In this study, the centering ability of these new protocols for the instrumentation of flattened/ovalshaped canals was tested (Table 3).Thus, in the buccolingual direction, PP showed the highest centering ratio at the coronal third of the root canals prepared with the three instrumentation protocols evaluated in this study.In this group, only rotary instruments were used, and the literature has revealed that NiTi instruments produced few changes in canal anatomy during shaping of the root canal system. 37hese results could be associated with activation of the ultrasonic tips in the buccolingual direction, as previously mentioned.Notwithstanding, all of the techniques used in this study proved to be safe regarding their centering ability.No statistically significant differences were found at the middle third of the root canals.At the apical third, statistically significant differences were observed between groups PFCP and PP.Therefore, group PFCP displayed the highest centering ratio.This could be explained by the use of ProDesign Logic 40/.01 file in group PFCP, in contrast with ProDesign Logic 40/.05, which has a larger taper.This makes ProDesign Logic 40/.05 more rigid and may produce greater wear in this area. 21In the mesiodistal direction, no statistically significant differences were observed at the coronal third between the three instrumentation protocols used in this study.However, statistically significant differences were found between groups FCP and PP at the middle third of the root canal.The highest centering ratio was displayed by the instrumentation protocol used in group FCP.This implied that the use of ultrasonic tips combined with ProDesign Logic 40/.01 provided a more centered preparation at the middle third of the root canal than the protocol in which ProDesign Logic 25/.05 and ProDesign Logic 40/.05 were used.These results could be related to the presence of flattened areas in oval-shaped canals and to the action of an instrument with a larger taper in this portion of the root, which may produce greater lateral cutting. 21At the apical third, statistically significant differences were observed between groups PFCP and PP.Therefore, group PFCP displayed the highest centering ratio, explained by the use of ProDesign Logic 40/.01 file in group PFCP, in contrast with ProDesign Logic 40/.05, which had a larger taper.

Conclusion
Based on the experimental design of this study, the null hypothesis that novel ultrasonic tips would not influence the instrumentation of flattened/oval-shaped root canals was rejected.These protocols showed an adequate performance regarding the centering ratio and degree of canal transportation.The combination of rotary instruments with ultrasonic tips increases canal volume and surface, reducing the non-instrumented areas of the root canal system.

Figure 2 .
Figure 2. (A)Representative reconstructions of the superimposed specimens before (red) and after (green) endodontic instrumentation in PP.Front and side views (buccal, lingual, mesial, and distal).Representative cross-sections of the superimposed flattened/ovalshaped mandibular incisors before (red) and after (green) endodontic instrumentation in each experimental group at the coronal, middle, and apical thirds.(B) Representative reconstructions of the superimposed specimens before (red) and after (green) endodontic instrumentation in FCP -front and side views (buccal, lingual, mesial, and distal).Representative cross-sections of the superimposed flattened/oval-shaped mandibular incisors before (red) and after (green) endodontic instrumentation in each experimental group at the coronal, middle, and apical thirds.(C) Representative reconstructions of the superimposed specimens before (red) and after (green) endodontic instrumentation in PFCP.Front and side views (buccal, lingual, mesial, and distal).Representative cross-sections of the superimposed flattened/oval-shaped mandibular incisors before (red) and after (green) endodontic instrumentation in each experimental group at the coronal, middle, and apical thirds.

Table 2 .
Percentage values of dentin removal at each third and on each wall of the root canal (median, minimum-maximum).

Table 3 .
Canal transportation after different instrumentation protocols.A result of '0' indicates no canal transportation.A result of 1 indicates perfect centering ability (Mean ± SD).