Submitted:
13 April 2026
Posted:
14 April 2026
You are already at the latest version
Abstract
Keywords:
Introduction
Methods

| ANTERSEP | Separation of the midpalatal suture at the level of ANS, mm |
| SKCLASS | Skeletal Class |
| SNA | SNA before treatment, degrees |
| ANB | ANB angle degrees |
| A-Nperp(FH) | Distance between point A to the perpendicular to FH constructed through point N , mm |
| SN-MP | SN-ANS-PNS angle before treatment, degrees |
| FH- MP (PPA) | Palatal Plane angle to FH, degrees |
| SN-GoMe | Angle between the SN and GoMe, degrees |
| OcP-SN | Angle between the SN plane and the Occlusal plane, degrees |
| OcP-GoMe | Angle between the GoMe plane and the Occlusal plane, degrees |
| OcP-FH | Angle between the FH plane and the Occlusal plane, degrees |
| TAFH | Total anterior facial height, mm |
| PFH | Posterior Facial Height mm |
| LAFH | Lower anterior facial height, mm |
| UAFH | Upper anterior facial height, mm |
| U1MP | Angle between the axis of the maxillary central incisor and ANS-PNS plane, degrees |
| U1LENGTH | Lenth of the maxillary central incisor to the ANS-PNS plane mm |



Results
| Measurements | T0 | T1 | P-value | Mean change | 95% CI mean change | ||||||||||
| Mean | SD | Min | Max | [95% conf.interv] | Mean | SD | Min | Max | [95% conf.interv] | ||||||
| SNA, degrees | 80.82 | 3.94 | 69.9 | 88.7 | 79.94 | 81.70 | 81.66 | 4.08 | 72.7 | 90.1 | 80.75 | 82.56 | 0.001* | 0.96 | 0.48, 1.43 |
| ANB, degrees | 3.74 | 2.60 | -3.9 | 10 | 3.16 | 4.32 | 5.16 | 2.67 | -1 | 11.7 | 4.56 | 4.56 | <0.000* | 1.42 | 1.04, 1.80 |
| A-N perp(FH), mm | .03 | 3.97 | -.85 | .91 | -.85 | .91 | .84 | 3.66 | .03 | 1.66 | .03 | 1.66 | 0.006* | 0.81 | 0.24, 1.39 |
| SN-MP, degrees | 8.11 | 3.52 | -.9 | 15.9 | 7.33 | 8.89 | 8.26 | 3.37 | .6 | 15.3 | 7.51 | 9.01 | 0.64 | 0.15 | -0.50, 0.81 |
| FH-MP (PPA), degrees | -1.16 | 3.40 | -9.4 | 9.2 | -1.92 | -.41 | -.98 | 3.38 | -8.5 | 6.9 | -1.73 | -.22 | 0.60 | 0.19 | -0.51, 0.89 |
| SNGoME, degrees | 35.27 | 8.22 | 16.5 | 51.8 | 33.44 | 37.10 | 36.25 | 8.61 | 17.6 | 52.1 | 34.33 | 38.16 | 0.001* | 0.98 | 0.42, 1.54 |
| OcP-SN, degrees | 17.89 | 6.13 | .8 | 41.5 | 16.52 | 19.25 | 18.24 | 5.70 | 3.2 | 31.3 | 16.97 | 19.50 | 0.49 | 0.35 | -0.67, 1.37 |
| OcP -GoMe, degrees | 17.38 | 6.57 | -11.6 | 31.1 | 15.91 | 18.84 | 18.00 | 6.11 | 1.2 | 32.2 | 16.65 | 19.36 | 0.21 | 0.63 | -0.37, 1.63 |
| OcP-FH, degrees | 8.63 | 5.38 | -3.8 | 31.6 | 7.43 | 9.82 | 9.0 | 5.05 | -1.5 | 22.8 | 7.87 | 10.12 | .46 | 0.37 | -0.63, 1.37 |
| TAFH, mm | 117.47 | 9.09 | 77.5 | 140.3 | 115.45 | 119.49 | 116.08 | 11.70 | 79.8 | 135.2 | 113.47 | 118.68 | .13 | -1.39 | -3.22, 0.43 |
| PFH, mm | 76.65 | 8.03 | 52.4 | 99 | 74.86 | 78.44 | 75.08 | 9.78 | 50.7 | 99.1 | 72.90 | 77.26 | .014* | -1.57 | -2.82, - 0.32 |
| LAFH, mm | 68.38 | 6.29 | 41.9 | 83.1 | 66.98 | 69.78 | 67.62 | 7.73 | 43.2 | 81.9 | 65.90 | 69.34 | .23 | -0.76 | -2.04, 0.52 |
| UAFH, mm | 50.90 | 4.17 | 35.9 | 63.9 | 49.97 | 51.83 | 50.63 | 5.09 | 37.1 | 58.9 | 49.49 | 51.76 | .51 | -0.28 | -1.10, 0.55 |
| U1MP, degrees | 108.76 | 7.71 | 91.6 | 124.8 | 107.04 | 110.48 | 107.76 | 8.40 | 82.4 | 127.3 | 105.89 | 109.63 | 0.07 | -1.00 | -2.10, 0.09 |
| U1LENGTH, mm | 29.70 | 2.94 | 20.2 | 35.3 | 29.04 | 30.35 | 28.99 | 3.51 | 17.8 | 35.1 | 28.21 | 29.77 | .03* | -0.71 | -1.36, -0.05 |
| Percentile Groups | Min | Max | Mean | SD | Count |
| 1 | 3.3 | 4.8 | 4.10 | .55 | 20 |
| 2 | 4.81 | 5.7 | 5.22 | .27 | 21 |
| 3 | 5.71 | 6.81 | 6.26 | .32 | 19 |
| 4 | 6.81 | 10.17 | 5.89 | 1.58 | 20 |
| Total | 80 |
| Variable | Group 1 | Group 2 | Group 3 | Group 4 | ANOVA | Bartlett`s Test | Kruskal-Wallis test | ||||
| Mean | SD | Mean | SD | Mean | SD | Mean | SD | ||||
| SNA | -1.33 | 2.05 | -1.06 | 2.17 | -.99 | 1.80 | .04 | 3.48 | n/a | .02 | .66 |
| ANB | -1.63 | 1.84 | -1.29 | 1.84 | -1.54 | 1.68 | -1.24 | 1.49 | .86 | .78 | n/a |
| A-N perp(FH) | -1.74 | 2.53 | -.28 | 1.83 | -1.52 | 2.97 | .23 | 2.54 | n/a | .02 | .04* |
| SN-MP | -1.07 | 2.17 | .32 | 2.11 | .88 | 2.69 | -.72 | 4.11 | n/a | .01 | .22 |
| FH-MP (PPA) | -.71 | 3.53 | -.43 | 2.75 | 1.35 | 2.86 | -.86 | 3.12 | .10 | .70 | n/a |
| SNGoME | -1.21 | 1.54 | -.80 | 2.10 | -.93 | 1.83 | -.98 | 4.01 | n/a | <.000 | .73 |
| OcP-SN | .11 | 4.15 | -.38 | 2.16 | -.18 | 7.28 | -.93 | 3.84 | n/a | <.000 | .52 |
| OcP -GoMe | -1.32 | 4.41 | -.45 | 2.68 | -.75 | 6.54 | -.02 | 3.99 | n/a | <.002 | .69 |
| OcP-FH | .48 | 4.25 | -1.11 | 2.78 | .3 | 6.85 | -1.08 | 3.36 | n/a | <.000 | .63 |
| TAFH | .25 | 3.76 | -.82 | 3.85 | 1.87 | 8.92 | 4.41 | 12.54 | n/a | <.000 | .87 |
| PFH | 1.21 | 2.37 | .22 | 3.31 | 1.76 | 6.11 | 3.16 | 8.55 | n/a | <.000 | .68 |
| LAFH | .50 | 3.34 | -.71 | 2.60 | .27 | 6.51 | 3.04 | 8.39 | n/a | <.000 | .41 |
| UAFH | -.48 | 2.53 | -.67 | 2.68 | 1.32 | 3.88 | 1.03 | 5.08 | n/a | <.006 | .43 |
| U1MP | -.35 | 4.42 | 2.04 | 4.66 | 2.89 | 3.81 | -.54 | 5.92 | .06 | .29 | n/a |
| U1LENGTH | .89 | 1.71 | .06 | 1.67 | -.20 | 3.40 | 2.05 | 3.98 | n/a | <.000 | .09 |
Discussion
Conclusions
Author Contributions
Funding
Data Availability Statement
Ethics approval and consent to participate
Consent for publication
Conflicts of Interest
Abbreviations
| MARPE | Miniscrew-Assisted Rapid Palatal Expansion |
| SARPE | Surgically Assisted Rapid Palatal Expansion |
| RPE | Rapid Palatal Expander |
| 3D-GMP | 3-Dimensional Guided Midpalatal Piezocorticotomy |
References
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| Gender | |||
| Females | Males | Total | |
| Number | 52 (65%) | 28 (35%) | 80 (100%) |
| Age | 37.94 (7.71) | 30.18 (8.45) | 35.23 (8.76) |
| Anterior Midplaatal Separation, mm | 5.55 (1.34) | 6.65 (1.95) | 5.94 (1.65) |
| ANB before Tx, degrees | 4.07 (2.34) | 3.12 (2.99) | 3.74 (2.61) |
| SNA before Tx, degrees | 80.59 (4.22) | 81.26 (3.38) | 80.82 (3.94) |
| SN- ANSPNS before Tx, degrees | 8.31 (3.35) | 7.73 (3.85) | 8.11 (3.52) |
| Skeletal Class | |||
| I | II | Total | |
| N | 38 (50.7%) | 37 (49.3%) | 75 (100.0%) |
| MEANSEP | 5.844 (1.682) | 5.875 (1.462) | 5.859 (1.567) |
| ANB | 2.284 (1.081) | 5.965 (1.428) | 4.100 (2.238) |
| TAFH | 118.400 (10.975) | 116.892 (6.788) | 117.656 (9.122) |
| PPA | -1.153 (3.655) | -0.997 (3.150) | -1.076 (3.393) |
| PFH | 76.992 (8.728) | 75.727 (7.451) | 76.368 (8.093) |
| SNA | 79.876 (3.911) | 81.722 (3.842) | 80.787 (3.961) |
| SNGoMe | 35.253 (8.179) | 36.389 (7.848) | 35.813 (7.984) |
| SN-MP | 8.366 (3.439) | 8.014 (3.735) | 8.192 (3.568) |
| U1-MP | 110.011 (6.069) | 106.273 (8.397) | 108.167 (7.501) |
| OcP-SN | 17.668 (4.638) | 19.051 (6.951) | 18.351 (5.895) |
| OcP-GoMe | 17.576 (5.889) | 17.332 (7.509) | 17.456 (6.692) |
| OcP_FH | 8.161 (4.261) | 10.043 (5.783) | 9.089 (5.123) |
| ANperpFH | -0.726 (3.652) | 0.749 (3.908) | 0.001 (3.827) |
| LAFH | 68.424 (7.594) | 68.630 (4.652) | 68.525 (6.275) |
| UAFH | 51.318 (4.545) | 50.722 (3.957) | 51.024 (4.247) |
| U1-length | 29.521 (3.128) | 30.127 (2.638) | 29.820 (2.893) |
| Variable | I | II |
Intergroup P value |
||||||||
| T0 | T1 |
P value |
T0 | T1 | P value | ||||||
| Mean | SD | Mean | SD | Mean | SD | Mean | SD | ||||
| SNA | 79.88 | 3.91 | 81.00 | 4.03 | .004* | 81.72 | 3.84 | 81.98 | 4.00 | .16 | .13 |
| ANB | 2.28 | 1.08 | 3.93 | 2.01 | .0052* | 5.96 | 1.43 | 6.95 | 1.99 | .16 | .08 |
| A-N perp(FH) | -.73 | 3.65 | -.084 | 3.39 | .15 | .75 | 3.91 | 1.62 | 3.21 | .027* | .07 |
| SN-MP | 8.37 | 3.44 | 8.33 | 2.87 | .92 | 8.01 | 3.73 | 8.77 | 3.59 | .12 | .22 |
| FH-MP (PPA) | -1.15 | 3.66 | -.70 | 3.48 | .36 | -.10 | 3.15 | -.83 | 3.20 | .74 | .687 |
| SNGoME | 35.25 | 8.18 | 36.03 | 8.28 | .01* | 36.39 | 7.85 | 37.68 | 8.49 | .004* | .69 |
| OcP-SN | 17.67 | 4.64 | 18.53 | 4.98 | .025* | 19.05 | 6.95 | 18.78 | 6.00 | .45 | .29 |
| OcP -GoMe | 17.58 | 5.89 | 17.49 | 5.62 | .50 | 17.33 | 7.51 | 18.89 | 6.55 | .19 | .12 |
| OcP-FH | 8.16 | 4.26 | 9.49 | 4.96 | .016* | 10.04 | 5.78 | 9.19 | 4.95 | .98 | .04* |
| TAFH | 118.4 | 10.97 | 118.23 | 11.44 | .096 | 116.89 | 6.79 | 114.53 | 10.91 | .35 | .23 |
| PFH | 76.99 | 8.73 | 76.64 | 9.29 | .36 | 75.73 | 7.45 | 72.98 | 9.77 | .001* | .052 |
| LAFH | 68.42 | 7.59 | 68.67 | 7.94 | .10 | 68.63 | 4.65 | 66.97 | 6.65 | .32 | .13 |
| UAFH | 51.32 | 4.54 | 51.37 | 4.56 | .319 | 50.72 | 3.96 | 50.25 | 5.48 | .86 | .53 |
| U1MP | 110.01 | 6.07 | 109.62 | 7.79 | .616 | 106.27 | 8.40 | 105.19 | 8.55 | .17 | .53 |
| U1LENGTH | 29.52 | 3.13 | 29.04 | 3.36 | .50 | 30.13 | 2.64 | 29.16 | 3.22 | .18 | .47 |
| SNA difference | |||
| Crude analysis | |||
| Coefficient | P-value | 95% CI | |
| ANT separation, mm | -0.28 | 0.099 | -0.61, 0.05 |
| Adjusted Analysis | |||
| ANT separation, mm | -0.28 | 0.08 | -0.60, 0.04 |
| U1-MP, degrees | 0.001 | 0.99 | -0.07, 0.7 |
| SN-MP, degrees | 0.21 | 0.008* | 0.06, 0.37 |
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