Fractal Dimension Analysis of Mandibular Trabecular Architecture in Gingival Recession During Orthodontic Retention: A Cross-Sectional Study
Abstract
:1. Introduction
2. Materials and Methods
2.1. Study Design, Ethics, and Consent
2.2. Sample, Groups, and Criteria
- Completed non-extraction fixed orthodontic treatment (with incisor crowding/spacing ≤ 3 mm) and in at least the first year of the retention period;
- No missing permanent teeth in the mandible except for the third molars;
- No orthodontic relapse and deformed fixed lingual retention appliance;
- No history of periodontitis;
- Presence of gingival recession ≥ 1 mm in at least one tooth (premolar or incisor-canine) in the relevant mandibular ROIs;
- No gingival recession in the contralateral region of the gingival recession site;
- No history of systemic bone disease or trauma.
2.3. Periodontal Examination
2.4. Radiograph Acquisition and Cephalometric Measurements
2.5. Fractal Dimension Analysis
2.6. Statistical Analysis
3. Results
4. Discussion
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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Parameter | Score | Definition |
---|---|---|
For GI | 0 | Healthy gingiva |
1 | Mild infection with color change and edema without bleeding on probing | |
2 | Moderate infection with color change and edema, along with bleeding on probing | |
3 | Severe infection with marked edema and hyperemic gingiva with tendency to spontaneously bleed | |
For PI | 0 | No plaque |
1 | Presence of film-like plaque, not visible by direct observation but detectable by periodontal probing, located at free gingival margin and on relevant tooth surface | |
2 | Presence of visible soft deposits at gingival margin and on tooth surface | |
3 | Presence of excessive soft deposits at gingival margin and on tooth surface | |
For gingival recession | Distance measured from cemento-enamel junction to gingival margin on exposed root surface that exceeds 0.5 mm |
Group 1 | Group 2 | Group 3 | Group 4 | p | ||
---|---|---|---|---|---|---|
Age (year) | Mean ±SD | 22.53 ± 2.82 | 22.4 ± 2.89 | 21.46 ± 2.32 | 21.26 ± 2.28 | 0.545 K |
Gender | Female, n (%) | 10 (67) | 9 (60) | 9 (60) | 7 (47) | 0.728 χ2 |
Male, n (%) | 5 (33) | 6 (40) | 6 (40) | 8 (53) | ||
Retention duration (year) | Mean ± SD | 1.98 ± 1.36 | 1.88 ± 1.25 | 1.91 ± 0.9 | 2.06 ± 1.07 | 0.755 K |
PI | Mean ± SD | 1.93 ± 0.79 | 1.93 ± 0.88 | 2.46 ± 0.99 | 2.2 ± 0.94 | 0.204 K |
GI | Mean ± SD | 1.33 ± 0.81 | 1.26 ± 0.7 | 1.46 ± 0.51 | 1.4 ± 0.5 | 0.641 K |
T0 | T1 | T2 | p | T1-T0 | T2-T1 | T2-T0 | |
---|---|---|---|---|---|---|---|
Mean ± SD (Median) | Mean ± SD (Median) | Mean ± SD (Median) | p | p | p | ||
Group 1 | 1.3680 ± 0.059 (1.3631) | 1.3517 ± 0.060 (1.3336) | 1.2834 ± 0.084 (1.2583) | 0.001 *,F | 0.079 W | 0.011 *,W | 0.005 *,W |
Group 1c | 1.3812 ± 0.052 (1.386) | 1.3626 ± 0.041 (1.352) | 1.3752 ± 0.47 (1.356) | 0.262 A | 0.15 A | 1.000 A | 0.852 A |
Group 2 | 1.3546 ± 0.11 (1.3336) | 1.3303 ± 0.075 (1.3412) | 1.2703 ± 0.073 (1.2583) | 0.003 *,F | 0.326 W | 0.027 *,W | 0.041 *,W |
Group 2c | 1.3959 ± 0.062 (1.408) | 1.3836 ± 0.039 (1.394) | 1.4013 ± 0.035 (1.396) | 0.119 F | 0.147 W | 0.125 W | 0.878 W |
Group 3 | 1.3792 ± 0.104 (1.3452) | 1.3760 ± 0.095 (1.3412) | 1.3787 ± 0.105 (1.3482) | 0.991 A | 0.874 A | 0.918 A | 1.000 A |
Group 3c | 1.3919 ± 0.051 (1.398) | 1.3772 ± 0.065 (1.396) | 1.3852 ± 0.064 (1.397) | 0.220 A | 0.211 A | 1.000 A | 0.786 A |
Group 4 | 1.3809 ± 0.098 (1.4232) | 1.3789 ± 0.87 (1.3912) | 1.3841 ± 0.67 (1.3932) | 0.627 F | 0.733 W | 0.496 W | 0.955 W |
Group 4c | 1.3819 ± 0.054 (1.378) | 1.3732 ± 0.07 (1.398) | 1.3892 ± 0.054 (1.388) | 0.413 A | 0.568 A | 1.000 A | 0.097 A |
T0 | p | T1 | p | T2 | p | |
---|---|---|---|---|---|---|
Mean ± SD (Median) | Mean ± SD (Median) | Mean ± SD (Median) | ||||
Group 1 | 1.3680 ± 0.059 (1.3631) | 0.524 t | 1.3517 ± 0.060 (1.3336) | 0.285 M | 1.2834 ± 0.084 (1.2583) | 0.001 *,t |
Group 1c | 1.3812 ± 0.052 (1.386) | 1.3626 ± 0.041 (1.352) | 1.3752 ± 0.047 (1.356) | |||
Group 2 | 1.3546 ± 0.11 (1.3336) | 0.218 t | 1.3303 ± 0.075 (1.3412) | 0.01 *,M | 1.2703 ± 0.073 (1.2583) | 0.001 *,t |
Group 2c | 1.3959 ± 0.062 (1.408) | 1.3836 ± 0.039 (1.394) | 1.4013 ± 0.035 (1.396) | |||
Group 3 | 1.3792 ± 0.104 (1.3452) | 0.676 t | 1.3760 ± 0.095 (1.3412) | 0.969 t | 1.3787 ± 0.105 (1.3482) | 0.841 t |
Group 3c | 1.3919 ± 0.051 (1.398) | 1.3772 ± 0.065 (1.396) | 1.3852 ± 0.064 (1.397) | |||
Group 4 | 1.3809 ± 0.098 (1.4232) | 0.973 t | 1.3789 ± 0.87 (1.3912) | 0.539 M | 1.3841 ± 0.67 (1.3932) | 0.821 t |
Group 4c | 1.3819 ± 0.054 (1.378) | 1.3732 ± 0.07 (1.398) | 1.3892 ± 0.054 (1.388) |
T0 | p | T1 | p | T2 | p | |
---|---|---|---|---|---|---|
Mean ± SD (Median) | Mean ± SD (Median) | Mean ± SD (Median) | ||||
Group 1 | 1.3680 ± 0.059 (1.3631) | 0.449 M | 1.3517 ± 0.060 (1.3336) | 0.983 M | 1.2834 ± 0.084 (1.2583) | 0.786 M |
Group 2 | 1.3546 ± 0.11 (1.3336) | 1.3303 ± 0.075 (1.3412) | 1.2703 ± 0.073 (1.2583) | |||
Group 3 | 1.3792 ± 0.104 (1.3452) | 0.964 t | 1.3760 ± 0.095 (1.3412) | 0.933 t | 1.3787 ± 0.105 (1.3482) | 0.869 t |
Group 4 | 1.3809 ± 0.098 (1.4232) | 1.3789 ± 0.87 (1.3912) | 1.3841 ± 0.67 (1.3932) |
FD Differences | PI | GI | ||
---|---|---|---|---|
FD differences | Mean ± SD | −0.002 ± 0.12 | 2.13 ± 0.91 | 1.43 ± 0.69 |
Pearson coefficient | 1 | 0.269 | 0.273 | |
p | 0.037 * | 0.035 * | ||
IMPA differences | Mean ± SD | −0.06 ± 0.12 | 1.93 ± 0.82 | 1.3 ± 0.74 |
Spearman rho | −0.106 | 0.161 | 0.148 | |
p | 0.578 | 0.397 | 0.436 |
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Küçükoğlu Çolak, M.; Çolak, R.; Cicek, O. Fractal Dimension Analysis of Mandibular Trabecular Architecture in Gingival Recession During Orthodontic Retention: A Cross-Sectional Study. Diagnostics 2025, 15, 1013. https://doi.org/10.3390/diagnostics15081013
Küçükoğlu Çolak M, Çolak R, Cicek O. Fractal Dimension Analysis of Mandibular Trabecular Architecture in Gingival Recession During Orthodontic Retention: A Cross-Sectional Study. Diagnostics. 2025; 15(8):1013. https://doi.org/10.3390/diagnostics15081013
Chicago/Turabian StyleKüçükoğlu Çolak, Merve, Resul Çolak, and Orhan Cicek. 2025. "Fractal Dimension Analysis of Mandibular Trabecular Architecture in Gingival Recession During Orthodontic Retention: A Cross-Sectional Study" Diagnostics 15, no. 8: 1013. https://doi.org/10.3390/diagnostics15081013
APA StyleKüçükoğlu Çolak, M., Çolak, R., & Cicek, O. (2025). Fractal Dimension Analysis of Mandibular Trabecular Architecture in Gingival Recession During Orthodontic Retention: A Cross-Sectional Study. Diagnostics, 15(8), 1013. https://doi.org/10.3390/diagnostics15081013