Submitted:
09 October 2025
Posted:
10 October 2025
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Abstract
Keywords:
1. Introduction
Materials and Methods
- CCA-H: The angle between the clinical crown axis (CCA) and the horizontal reference line (H). The CCA is defined as the line extending from the incisal edge of the maxillary central incisor to the most prominent point on the labial surface of the crown.
- CCA–Sn-Pg′: The angle between the CCA and the line connecting subnasale (Sn) to soft tissue pogonion (Pg′). The subnasale (Sn) is the deepest point at the junction of the nose and upper lip, where the nasal septum meets the upper cutaneous lip in the midsagittal plane. Soft tissue pogonion (Pg′) is the most anterior point on the chin.
- CCA-V: The angle between the CCA and the true vertical (V). The true vertical represents the gravitational vertical.
Statistical Analysis
Results
Comparison of Cephalometric Changes Among Skeletal Divergence Groups
- Facial axis to horizontal plane (Facial axis/H) showed a significant difference between groups (p = 0.020). Post-hoc comparisons indicated a significant difference between the normodivergent and hyperdivergent groups (p = 0.019), with no significant differences between the normodivergent and hypodivergent (p = 1.000) or the hypodivergent and hyperdivergent groups (p = 0.172) (Table 3).
- Mandibular plane angle relative to SN (MP/SN) also showed a significant difference among the groups (p = 0.025). The difference between hypodivergent and hyperdivergent groups was statistically significant (p = 0.021), whereas no significant differences were found between normodivergent and hypodivergent (p = 0.197) or normodivergent and hyperdivergent groups (p = 0.694) (Table 3).
Correlations Between Maxillary Incisors Inclination and the Facial and Growth Axes Before (T1) and After (T2) Orthodontic Treatment
Discussion
Conclusion
Author Contributions
Funding
Ethics approval and consent to participate
Consent for publication
Availability of data and materials
Competing interests
References
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| Groups | Mean±SD | Mean±SD | Mean±SD | ||||||
|---|---|---|---|---|---|---|---|---|---|
| Normo T1 (n=66) 20 ♂ & 46 ♀ |
Normo T2 (n=66) 20 ♂ & 46 ♀ |
P | Hypo T1 (n=35) 17 ♂ & 18 ♀ |
Hypo T2 (n=35) 17 ♂ & 18 ♀ |
P | Hyper T1 (n=43) 11 ♂ & 32 ♀ |
Hyper T2 (n=43) 11 ♂ & 32 ♀ |
P | |
| Age (year) | 26.805±11.585 | 32.102±24.984 | 0.065 | 26.929±9.344 | 29.824±9.911 | 0.000 | 28.005±9.381 | 30.900±9.866 | 0.000 |
| Maxillary incisors/NA | 22.086±9.635 | 22.109±7.690 | 0.984 | 23.994±9.181 | 26.326±6.857 | 0.130 | 20.063±7.790 | 20.495±6.650 | 0.718 |
| Maxillary incisors/PP | 112.212±9.563 | 112.423±7.709 | 0.839 | 113.464±10.254 | 116.077±7.971 | 0.145 | 109.321±8.177 | 109.614±7.575 | 0.804 |
| Maxillary incisors/SN | 102.935±15.655 | 104.921±7.184 | 0.297 | 106.966±10.211 | 109.457±7.617 | 0.135 | 98.640±9.221 | 96.058±14.929 | 0.308 |
| ANB | 3.073±2.940 | 3.003±3.156 | 0.765 | 2.343±2.419 | 2.646±4.231 | 0.671 | 4.444±2.184 | 4.512±2.017 | 0.676 |
| Facial axis/NBa | 90.236±3.822 | 90.788±3.561 | 0.058 | 93.737±4.766 | 93.520±4.572 | 0.636 | 84.179±4.670 | 83.886±4.454 | 0.488 |
| Facial axis/H | 117.092±3.506 | 118.213±5.873 | 0.067 | 120.328±4.370 | 120.851±6.375 | 0.555 | 111.358±4.969 | 109.460±7.647 | 0.069 |
| Growth axis/NBa | 93.454±3.452 | 93.466±4.105 | 0.973 | 95.085±6.027 | 94.971±6.081 | 0.771 | 88.253±4.818 | 87.669±4.439 | 0.181 |
| Growth axis/H | 120.377±3.064 | 120.755±3.752 | 0.251 | 122.585±3.852 | 122.526±4.128 | 0.873 | 115.619±5.287 | 115.533±5.690 | 0.822 |
| Maxillary incisors/NBa | 85.857±11.856 | 86.071±9.497 | 0.829 | 89.208±14.383 | 91.551±12.003 | 0.141 | 80.267±8.900 | 80.383±7.672 | 0.926 |
| Maxillary incisors/H | 112.058±9.360 | 111.980±7.243 | 0.939 | 114.183±10.581 | 116.449±7.771 | 0.177 | 107.207±8.982 | 106.265±7.981 | 0.478 |
| MP/SN | 32.165±2.464 | 32.365±3.706 | 0.609 | 23.857±4.306 | 25.297±5.078 | 0.011 | 41.812±3.771 | 41.258±4.325 | 0.276 |
| IMPA | 94.917±9.420 | 94.936±9.509 | 0.983 | 96.014±7.711 | 98.974±8.861 | 0.014 | 93.502±8.124 | 95.409±7.751 | 0.064 |
| Interincisal angle | 128.350±13.045 | 127.211±10.659 | 0.403 | 131.380±13.863 | 125.503±9.752 | 0.061 | 126.902±13.602 | 123.674±10.403 | 0.074 |
| Groups | Mean±SD | P | Mean±SD | P | Mean±SD | P | |||
|---|---|---|---|---|---|---|---|---|---|
| Normo T1 (n=66) 20 ♂ & 46 ♀ |
Normo T2 (n=66) 20 ♂ & 46 ♀ |
Hypo T1 (n=35) 17 ♂ & 18 ♀ |
Hypo T2 (n=35) 17 ♂ & 18 ♀ |
Hyper T1 (n=43) 11 ♂ & 32 ♀ |
Hyper T2 (n=43) 11 ♂ & 32 ♀ |
||||
| CCA/V | -4.74±9.124 | -4.62±6.841 | 0.902 | -4.83±7.610 | -3.43±7.397 | 0.219 | -6.35±9.365 | -4.30±8.484 | 0.194 |
| CCA/Sn’ | 0.45±8.862 | 0.06±6.704 | 0.710 | -0.69±9.698 | -0.31±7.936 | 0.770 | 0.88±9.008 | 2.67±6.802 | 0.241 |
| CCA/H | 85.05±9.008 | 85.35±6.813 | 0.754 | 85.34±7.604 | 86.57±7.397 | 0.284 | 83.60±8.862 | 85±8.053 | 0.383 |
| Groups | Mean±SD | Σ | |||||
|---|---|---|---|---|---|---|---|
| Normo δ (n=66) 20 ♂ & 46 ♀ |
Hypo δ (n=35) 17 ♂ & 18 ♀ |
Hyper δ (n=43) 17 ♂ & 18 ♀ |
Between Normo & Hypo |
Between Normo & Hyper |
Between Hypo & Hyper |
||
| Age (year) | 2.459±1.356 | 2.895±1.923 | 2.895±1.437 | 0.240 | |||
| Maxillary incisors/NA | 0.0227±8.914 | 2.331±8.889 | 0.432±7.808 | 0.427 | |||
| Maxillary incisors/PP | 0.210±8.406 | 2.431±9.654 | 0.293±7.687 | 0.419 | |||
| Maxillary incisors/SN | 1.986±15.354 | 2.491±9.633 | -2.581±16.410 | 0.202 NS |
|||
| ANB | -0.697±1.883 | 0.302±4.184 | 0.067±1.049 | 0.774 | |||
| Facial axis/NBa | 0.551±2.320 | -0.217±2.688 | -0.293±2.743 | 0.165 | |||
| Facial axis/H | 1.121±4.891 | 0.522±5.185 | -1.897±6.671 | 0.020 | 1.000 | 0.019 | 0.172 |
| Growth axis/NBa | 0.012±2.849 | -0.114±2.309 | -0.583±2.814 | 0.525 | |||
| Growth axis/H | 0.377±2.645 | -0.060±2.205 | -0.086±2.493 | 0.559 | |||
| Maxillary incisors/NBa | 0.213±8.006 | 2.342±9.194 | 0.116±8.215 | 0.413 | |||
| Maxillary incisors/H | -0.077±8.223 | 2.265±9.719 | -0.941±8.629 | 0.255 | |||
| MP/SN | 0.200±3.159 | 1.440±3.155 | -0.553±3.289 | 0.025 | 0.197 | 0.694 | 0.021 |
| IMPA | 0.019±7.512 | 2.960±7.742 | 1.906±6.580 | 0.113 | |||
| Interincisal angle | -1.139±10.995 | -5.877±11.736 | -3.227±11.536 | 0.137 | |||
| Hypodivergent n = 35 |
Normodivergent n = 66 |
Hyperdivergent n = 43 |
|||||
|---|---|---|---|---|---|---|---|
| CCA/V | CCA/Snpg’ | CCA/V | CCA/Snpg’ | CCA/V | CCA/Snpg’ | ||
| Facial axis/NBa | T1 | 0.44 ** | 0.27 | 0.37 ** | 0.15 | 0.02 | -0.09 |
| T2 | 0.16 | -0.01 | 0.21 | -0.01 | 0.042 | -0.11 | |
| Facial axis/H | T1 | 0.44 ** | 0.13 | 0.30 * | 0.06 | -0.06 | -0.13 |
| T2 | 0.27 | 0.04 | -0.05 | -0.15 | 0.19 | 0.09 | |
| G axis/NBa | T1 | -0.23 | -0.27 | 0.25 * | 0.04 | 0.05 | -0.05 |
| T2 | -0.34 * | -0.52 ** | 0.14 | -0.09 | 0.09 | 0.45 | |
| G axis/H | T1 | 0.01 | -0.26 | 0.24 | 0.01 | -0.06 | -0.11 |
| T2 | -0.02 | -0.34 * | -0.13 | -0.27 * | -0.11 | -0.19 | |
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