INTRODUCTION

MATERIALS AND METHODS
Subjects
Methods
![]() | Figure 2Cephalometric landmarks used for measurements.14
n, Nasion; s, sella; cd, condylion; ba, basion; ar, articulare; gn, gnathion; pg, pogonion; sm, supramentale; isi, incisal superior incisor; iii, incisal inferior incisor; ss, subspinale; sp, spinale; MBLar, mandibular base line; Rlar, ramus line; ILi, incisal line inferior; ILs, incisal line superior; ML, mandibular line; NL, nasal line.
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![]() | Figure 3Illustration of superimposition on the stable structures in the anterior cranial base between two stages.9
NSLRef, Nasion-sella line at before treatment (T1) transferred to the following lateral cephalogram as a reference line when the two sets are superimposed on the stable structures in the anterior cranial base; MaxillaRef, a reference line drawn in the maxilla when the two sets are superimposed on the stable structures in the maxilla; MandibleRef, a reference line drawn in the mandible when the two sets are superimposed on the stable structures in the mandible.
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![]() | Figure 4Illustration of superimposition on the stable structures in the maxilla between two stages.9
MaxillaRef, Maxillary reference line; ILs1, incisal line superior stage 1; ILs2, incisal line superior stage 2; isi1, incisal superior stage 1; isi2, incisal superior stage 2.
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![]() | Figure 5Illustration of superimposition on the stable structures in the mandible between two stages.9
cd, Condylion; cdRef, condylion at baseline (T1); MandibleRef, mandibular reference line; ILi1, incisal line inferior stage 1; ILi2, incisal line inferior stage 2; iii1, incisal inferior stage 1; iii2, incisal inferior stage 2.
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Table 1
Variable | Z-activator (15 girls, 19 boys) | E-activator (16 girls, 12 boys) | Control (8 girls, 9 boys) | p-value | |
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Z vs. C | E vs. C | ||||
CVM methods | NS | NS | |||
CS1 | 5 (14.7) | 7 (25.0) | 1 (5.9) | ||
CS2 | 13 (38.2) | 11 (39.3) | 7 (41.2) | ||
CS3 | 10 (29.4) | 7 (25.0) | 9 (52.9) | ||
CS4 | 6 (17.6) | 3 (10.7) | 0 (0) | ||
Treatment timing | NS | NS | |||
Early (pre-peak) | 17 (50.0) | 17 (60.7) | 8 (47.1) | ||
Late (on-peak) | 17 (50.0) | 11 (39.3) | 9 (52.9) | ||
Upper spine morphology | |||||
Fusion | 3 (8.8) | 7 (25.0) | 2 (11.8) | NS | NS |
PAD | 8 (23.5) | 8 (28.6) | 3 (17.6) | NS | NS |
Age (yr) | 11.82 ± 1.48 | 11.17 ± 1.20 | 11.76 ± 1.50 | NS | NS |
Atlas dimension (mm) | |||||
Dorsal arch height | 8.49 ± 1.59 | 7.70 ± 2.03 | 8.09 ± 1.59 | NS | NS |
PNAH | 4.02 ± 0.68 | 3.90 ± 0.92 | 4.19 ± 0.93 | NS | NS |
A-P dimension | 45.11 ± 2.91 | 44.19 ± 3.28 | 43.47 ± 3.26 | NS | NS |
Cranial base angle (°) | |||||
n-s-ba | 134.24 ± 4.96 | 131.74 ± 5.25 | 130.57 ± 4.20 | < 0.05* | NS |
Sagittal dimensions (°) | |||||
ss-n-pg | 6.07 ± 1.67 | 5.14 ± 1.78 | 4.14 ± 1.94 | < 0.01** | NS |
s-n-ss | 80.33 ± 2.89 | 80.81 ± 3.17 | 80.95 ± 3.01 | NS | NS |
s-n-pg | 74.27 ± 2.66 | 75.69 ± 3.79 | 76.82 ± 3.42 | < 0.05* | NS |
Vertical dimensions (°) | |||||
NL/ML | 27.88 ± 4.04 | 24.37 ± 5.09 | 27.57 ± 7.73 | NS | < 0.05* |
NSL/NL | 8.73 ± 3.17 | 8.48 ± 3.78 | 6.74 ± 2.11 | NS | NS |
NSL/ML | 36.61 ± 4.25 | 32.85 ± 6.77 | 34.31 ± 8.07 | NS | NS |
Mandibular form (°) | |||||
ML/Rlar | 121.34 ± 5.54 | 120.33 ± 8.15 | 124.47 ± 6.99 | NS | < 0.05* |
ML/MBLar | 19.26 ± 2.83 | 19.95 ± 2.96 | 19.17 ± 3.21 | NS | NS |
Dental | |||||
Overjet (mm) | 8.64 ± 2.11 | 8.45 ± 2.29 | 7.25 ± 2.29 | < 0.001*** | < 0.01** |
Overbite (mm) | 2.91 ± 1.88 | 4.04 ± 1.68 | 1.41 ± 3.35 | NS | < 0.01 |
ILs to NL (°) | 117.26 ± 6.03 | 117.41 ± 6.80 | 113.49 ± 5.77 | NS | NS |
ILi to ML (°) | 94.78 ± 6.42 | 98.69 ± 6.67 | 94.78 ± 5.89 | NS | NS |
Lower anterior facial height (sp-gn, mm) | 65.52 ± 3.57 | 60.02 ± 4.67 | 62.28 ± 7.69 | NS | < 0.05* |
Multiple linear regression analysis for craniofacial morphology, adjusted for age, sex, and ethnicity.
Z vs. C, Significant difference between Z-activator and control; E vs. C, significant difference between E-activator and control; T1, before treatment; CVM, cervical vertebral maturation; CS1, cervical stage 1; CS2, cervical stage 2; CS3, cervical stage 3; CS4, cervical stage 4; PAD, posterior arch deficiency; PNAH, posterior neural arch height; A-P, anteroposterior; NS, not significant.
Table 2
Variable | Z-activator (n = 34) | E-activator (n = 28) | Control (n = 17) | p-value | |
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Z vs. C | E vs. C | ||||
Treatment duration (yr) | 1.55 ± 0.67 | 1.79 ± 1.18 | 1.46 ± 0.51 | NS | NS |
Age at T2 (yr) | 13.36 ± 1.39 | 12.89 ± 1.45 | 13.24 ± 1.69 | NS | NS |
Cranial base changes (°) | |||||
n-s-ba | −1.05 ± 1.84 | −0.60 ± 2.46 | 0.38 ± 1.61 | < 0.001*** | < 0.05* |
Sagittal changes (°) | |||||
ss-n-pg | −2.27 ± 1.28 | −1.78 ± 1.30 | −0.68 ± 0.91 | < 0.001*** | < 0.001*** |
s-n-ss | −1.25 ± 1.52 | −0.67 ± 1.54 | 0.17 ± 0.81 | < 0.001*** | < 0.05* |
s-n-pg | 1.02 ± 1.31 | 1.10 ± 1.56 | 0.84 ± 0.87 | NS | NS |
Vertical changes (°) | |||||
NL/ML | −1.59 ± 1.72 | −1.10 ± 1.78 | −0.94 ± 2.47 | NS | NS |
NSL/NL | 0.82 ± 1.36 | 1.43 ± 1.97 | 0.94 ± 1.85 | NS | NS |
NSL/ML | −0.79 ± 1.65 | 0.34 ± 2.11 | −0.84 ± 1.56 | NS | NS |
Jaw rotations (°) | |||||
NSL/MaxillaRef | 0.09 ± 0.75 | 0.44 ± 1.53 | −0.43 ± 1.01 | NS | < 0.01** |
NSL/MandibleRef | −1.30 ± 1.94 | −1.02 ± 2.42 | −1.67 ± 2.20 | NS | NS |
Condylar growth (mm) | |||||
cd-cdRef | 6.52 ± 2.71 | 8.62 ± 3.47 | 4.41 ± 2.12 | < 0.001*** | < 0.001*** |
ar-arRef | 6.52 ± 2.71 | 7.44 ± 2.86 | 4.41 ± 2.20 | < 0.01** | < 0.001*** |
Mandibular form changes (°) | |||||
ML/Rlar | 0.21 ± 2.20 | 0.84 ± 2.76 | −0.63 ± 2.45 | NS | NS |
ML/MBLar | 0.39 ± 1.01 | −0.12 ± 1.38 | 0.24 ± 1.42 | NS | NS |
Upper teeth to MaxillaRef | |||||
isi horizontal (mm) | −2.54 ± 2.20 | −1.75 ± 1.83 | 0.96 ± 0.62 | < 0.001*** | < 0.001*** |
isi vertical (mm) | 1.95 ± 1.89 | 2.69 ± 2.16 | 1.41 ± 0.88 | NS | < 0.05* |
ILs inclination (°) | −5.01 ± 5.07 | −7.09 ± 5.48 | 1.89 ± 2.86 | < 0.001*** | < 0.001*** |
Lower teeth to MandibleRef | |||||
iii horizontal (mm) | 0.53 ± 1.59 | 1.54 ± 1.91 | 0.29 ± 1.15 | NS | < 0.01** |
iii vertical (mm) | 1.66 ± 1.30 | 0.26 ± 1.60 | 0.87 ± 1.45 | < 0.05* | NS |
ILi inclination (°) | 0.61 ± 4.76 | 4.47 ± 6.96 | 0.21 ± 3.14 | NS | < 0.001*** |
Dental relationship (mm) | |||||
Overjet | −4.96 ± 2.20 | −5.36 ± 2.43 | 0.32 ± 1.01 | < 0.001*** | < 0.001*** |
Overbite | −0.65 ± 1.60 | −2.03 ± 2.02 | −0.11 ± 1.67 | NS | < 0.01** |
Lower anterior facial height (sp-gn, mm) | 3.22 ± 1.84 | 4.05 ± 2.08 | 1.83 ± 1.65 | < 0.05* | < 0.001*** |
Multiple linear regression analysis, adjusted for age, sex, treatment timing, treatment duration, and ethnicity.
Table 3
Variable | Z-activator (n = 34) | E-activator (n = 28) | Control (n = 17) | p-value | |
---|---|---|---|---|---|
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|||||
Z vs. C | E vs. C | ||||
Treatment duration (yr) | 3.58 ± 1.25 | 3.75 ± 1.75 | 3.41 ± 0.97 | NS | NS |
Age (yr) | 15.36 ± 1.49 | 14.84 ± 1.90 | 15.56 ± 1.74 | NS | NS |
Cranial base changes (°) | |||||
n-s-ba | −2.41 ± 2.35 | −1.77 ± 2.76 | −0.34 ± 2.23 | < 0.01** | NS |
Sagittal changes (°) | |||||
ss-n-pg | −2.19 ± 1.53 | −2.17 ± 1.44 | −0.92 ± 1.33 | < 0.001*** | < 0.01** |
s-n-ss | −0.27 ± 1.80 | −0.15 ± 1.84 | 0.56 ± 1.13 | < 0.01** | NS |
s-n-pg | 1.92 ± 1.78 | 2.00 ± 1.76 | 1.46 ± 1.76 | NS | NS |
Vertical changes (°) | |||||
NL/ML | −1.23 ± 2.60 | −1.45 ± 2.19 | −1.72 ± 2.84 | NS | NS |
NSL/NL | 0.04 ± 2.04 | 0.96 ± 1.82 | 0.04 ± 2.09 | NS | NS |
NSL/ML | −1.10 ± 2.53 | −0.41 ± 2.01 | −1.69 ± 2.31 | NS | NS |
Jaw rotations (°) | |||||
NSL/MaxillaRef | −0.86 ± 1.03 | −0.32 ± 1.66 | −0.79 ± 1.28 | NS | NS |
NSL/MandibleRef | −2.34 ± 3.41 | −2.49 ± 2.68 | −3.19 ± 3.08 | NS | NS |
Condylar growth (mm) | |||||
cd-cdRef | 11.54 ± 5.08 | 12.74 ± 5.16 | 9.65 ± 4.24 | NS | NS |
ar-arRef | 9.78 ± 5.21 | 10.35 ± 4.90 | 8.14 ± 3.70 | NS | NS |
Mandibular form changes (°) | |||||
ML/Rlar | −1.69 ± 2.51 | −1.42 ± 2.94 | −2.64 ± 2.16 | NS | NS |
ML/MBLar | 1.22 ± 1.61 | 0.77 ± 1.29 | 0.85 ± 1.39 | NS | NS |
Upper teeth to MaxillaRef | |||||
isi horizontal (mm) | −2.28 ± 3.39 | −1.53 ± 2.87 | 1.34 ± 0.89 | < 0.001*** | < 0.001*** |
isi vertical (mm) | 3.92 ± 1.94 | 4.39 ± 2.45 | 2.85 ± 1.54 | < 0.001*** | NS |
ILs inclination (°) | −5.18 ± 7.09 | −6.61 ± 8.22 | 2.21 ± 2.37 | < 0.001*** | < 0.001*** |
Lower teeth to MandibleRef | |||||
iii horizontal (mm) | 1.24 ± 2.36 | 1.75 ± 2.20 | 0.43 ± 1.21 | NS | < 0.01** |
iii vertical (mm) | 1.96 ± 2.21 | 1.11 ± 1.87 | 2.00 ± 1.94 | NS | < 0.01** |
ILi inclination (°) | 4.14 ± 7.69 | 4.25 ± 5.81 | 0.83 ± 3.47 | NS | < 0.01** |
Dental relationship (mm) | |||||
Overjet | −5.84 ± 2.55 | −5.54 ± 2.57 | 0.48 ± 1.25 | < 0.001*** | < 0.001*** |
Overbite | −1.50 ± 1.38 | −1.96 ± 1.49 | 0.15 ± 1.17 | < 0.05* | < 0.001*** |
Lower anterior facial height (sp-gn, mm) | 6.02 ± 2.31 | 6.51 ± 3.17 | 3.82 ± 2.62 | < 0.05* | < 0.05* |
Multiple linear regression analysis, adjusted for age, sex, treatment timing, treatment duration, and ethnicity.
Reliability and method errors
Statistical analysis

RESULTS
Craniofacial and upper spine morphology at baseline
Effects of functional appliance treatment from T1 to T2
Effects of functional appliance treatment from T1 to T3

DISCUSSION
Craniofacial and upper spine morphology at baseline
Short-term effects of the functional appliances (T1–T2)
Long-term treatment effects of the functional appliances (T1–T3)

CONCLUSION
