Baseline characteristics
According to the primary outcome definition, 331 patients underwent modified V-shaped concealed flap canthoplasty and were included in the analytic cohort. At the 6-month primary endpoint, 74 patients (24.6%) met the criteria for medial canthal angle regression and 257 did not. The cohort was predominantly female (286/331, 86.4%), with a mean age of 26.8 ± 5.9 years. Patients with regression were older (28.4 ± 6.2 vs 26.3 ± 5.7 years, P = 0.012). Age should therefore be interpreted as a candidate risk marker requiring further investigation.
Anatomical and morphological differences were more unfavorable in the regression group: severe epicanthal folds were more common (33.8% vs 19.8%), thick-soft tissue was more frequent (24.3% vs 17.5%), intercanthal distance was greater (35.3 ± 2.7 mm vs 34.4 ± 2.8 mm, P = 0.019), and preoperative medial canthal angle (MCA) was larger (43.2° ± 4.7° vs 41.4° ± 4.5°, p = 0.006). These findings suggest that baseline morphological load contributes to postoperative stability, although the strongest modifiable signals were intraoperative.
The regression group had longer operative time (45.9 ± 10.4 vs 41.8 ± 9.5 min, P = 0.003) and a higher proportion of tendon/soft-tissue fixation than the no-regression group. These findings support reporting the fixation plane as a reproducible procedural variable rather than describing it only as a surgeon-dependent technical impression.
Distribution and reliability of intraoperative folding parameters
As shown in Table 2, folding length, folding angle, and fold-point position differed clearly between groups. Compared with patients without regression, patients with regression had smaller L (5.8 +/- 1.2 vs 6.9 +/- 1.2 mm), smaller θ (32.8 +/- 7.4 vs 38.1 +/- 7.6 degrees), and smaller P (3.7 +/- 0.9 vs 4.5 +/- 0.8 mm; all p < 0.001). The intra-rater intraclass correlation coefficients (ICCs) ranged from 0.91 to 0.93, and the inter-rater ICCs ranged from 0.88 to 0.90 for the three primary measurements, supporting reproducibility when the traction and landmark protocol is followed.
Incidence, timing, and severity grading of regression
As shown in Table 3, medial canthal angle regression accumulated mainly during the first 3-6 months. Any regression was observed in 22/324 patients (6.8%) at 1 month, 49/312 (15.7%) at 3 months, and 74/301 (24.6%) at the 6-month primary endpoint. At 6 months, 41 cases were mild, 24 were moderate, and 9 were severe; the median displacement was 1.8 mm (interquartile range [IQR], 1.1-2.7mm), and the median MCA increase was 4.5 degrees (IQR, 3.0-6.4). The 12-month extended follow-up rate was similar (52/214, 24.3%), suggesting that most measurable regression occurred before or around the 6-month endpoint.
Candidate predictor screening
Univariable screening (Table 4) showed that regression risk was associated with both baseline morphology and intraoperative reconstruction. Age (odds ratio [OR], 1.05 per year, 95% confidence interval [CI], 1.01–1.10), body mass index (BMI) (OR 1.13 per kg/m2, 95% CI 1.02-1.24), epicanthal fold severity (OR 1.63 per grade, 95% CI 1.18–2.25), thick soft tissue (OR 1.71, 95% CI 1.01–2.88), intercanthal distance (OR 1.12 per mm, 95% CI 1.01–1.25), preoperative MCA (OR 1.07 per degree, 95% CI 1.02–1.13), operative time (OR 1.28 per 10 min, 95% CI 1.07–1.53), tendon/soft-tissue fixation (OR 1.91, 95% CI 1.12–3.25), low suture tension (OR 2.13, 95% CI 1.23–3.69), and left-right measurement differences were candidate risk markers. In contrast, larger L, θ, and P were protective in univariable analysis.
Multivariable risk factors and effect estimation
Building on univariable screening, the multivariable model incorporated preoperative morphology, perioperative factors, and intraoperative quantitative measurements of anterior MCT limb folding. The same endpoint and anatomical terminology were used throughout the analysis: medial canthal angle regression and the anterior limb of the MCT.
Figure 4A presents adjusted odds ratios and confidence intervals from the multivariable model. Larger L, θ, and P were associated with lower odds of medial canthal angle regression, whereas tendon/soft-tissue fixation and low suture tension were associated with higher odds. Baseline morphology variables retained independent contributions, indicating that preoperative tissue load and intraoperative structural reconstruction both influence postoperative stability.
Figure 4B illustrates the modeled relationship between folding parameters and predicted medial canthal angle regression probability. The curves suggest clinically useful target ranges for L, θ, and P, but they should be interpreted as model-based trends that require validation rather than as fixed universal cutoffs.
Figure 4C summarizes the relative weights of each predictive factor in the model by ranking them according to standardized contribution. The intraoperative folding parameters contributed substantially to the internally validated model and provided quantitative information for estimating regression risk within this cohort. In contrast, some preoperative demographic factors contributed less, suggesting that relying solely on preoperative characteristics is insufficient for effective stratification of regression risk. These findings indicate that intraoperative quantitative parameters were associated with postoperative medial canthal angle regression and provided additional information within the internally validated model.
Figure 4D demonstrates the actual incidence rate differences of regression stratified based on model-predicted probabilities. The regression rates exhibited progressive separation across low-risk, intermediate-risk, and high-risk tiers, suggesting that the internally validated model may provide preliminary risk differentiation within this cohort. However, these findings are based on internal validation only, and external validation is required before the model can be considered for routine intraoperative decision-making or individualized follow-up planning.
Prediction model derivation and interpretability
The final multivariable model (Table 5) retained intraoperative folding parameters as independent protective factors: L (adjusted OR 0.57 per 1 mm increase, 95% CI 0.45–0.73, P < 0.001), θ (adjusted OR 0.72 per 5° increase, 95% CI 0.60–0.86, P < 0.001), and P (adjusted OR 0.44 per 1 mm increase, 95% CI 0.31–0.63, P < 0.001). Higher risk was associated with tendon/soft-tissue fixation (adjusted OR 1.68, 95% CI 1.10–2.56), low suture tension (adjusted OR 1.84, 95% CI 1.15–2.93), greater epicanthal fold severity (adjusted OR 1.51 per grade, 95% CI 1.10-2.07), thick-soft tissue (adjusted OR 1.60, 95% CI 1.03–2.50), larger preoperative MCA (adjusted OR 1.06 per degree, 95% CI 1.00–1.12), and longer operative time (adjusted OR 1.23 per 10 min, 95% CI 1.01–1.49).
Model performance, calibration, and internal validation
Model performance was reported using discrimination, calibration, prediction error, internal validation, and clinical net benefit. The predictive model should be interpreted as a representative application of the measurement protocol rather than as a fully implemented clinical decision tool.
Figure 5A presents the ROC curve, with an apparent AUC of 0.85 (95% CI, 0.81–0.89) and an optimism-corrected AUC of 0.81 (95% CI, 0.77–0.85). Calibration was acceptable but not perfect: the apparent calibration slope was 0.94, and the intercept was 0.05, changing to 0.89 and 0.08 after optimism correction (Figure 5B). The Brier score increased from 0.12 to 0.15 after correction, indicating modest optimism in the apparent model.
Figure 5C summarizes apparent and optimism-corrected metrics. Figure 5D shows threshold-based classification performance at the prespecified 0.20 threshold, with corrected sensitivity of 0.78, specificity of 0.70, positive predictive value (PPV) of 0.65, and negative predictive value (NPV) of 0.82. These values suggest clinically useful discrimination but also show that misclassification remains possible.
Table 6 reports an overall net reclassification improvement of 0.22 (95% CI, 0.11–0.35) and a decision-curve net benefit of 0.23 at the 0.20 threshold, decreasing to 0.19 after optimism correction. These results indicate that the model may provide preliminary information for outcome assessment within this cohort; however, prospective evaluation and external validation are required before considering clinical implementation.
Clinical utility and representative outcome visualization
Figure 6A presents decision-curve analysis across threshold probabilities, with the main manuscript threshold set at 0.20. Figure 6B displays observed regression rates across low-, intermediate-, and high-risk strata; this stratification is useful for illustrating how the model separates risk groups, but it should not be interpreted as proof that intraoperative model-guided changes reduce regression. Figure 6C shows sensitivity and specificity at the 0.20 threshold, and Figure 6D summarizes net reclassification improvement (NRI). Because these are internally validated estimates from a single-center cohort, the values should be used to plan future validation rather than to mandate a universal operative threshold.
Figure 7 presents a representative case of postoperative medial canthal angle (MCA) regression after modified V-shaped concealed flap canthoplasty. Standardized preoperative and postoperative full-face and close-up photographs were used to assess changes in MCA and medial canthal point position. During follow-up, the case demonstrated MCA regression of 3.2° and medial canthal point displacement of 1.8 mm. This case illustrates the postoperative image-measurement workflow and should be interpreted as an illustrative outcome rather than independent validation of the prediction model. At the cohort level, relatively larger folding parameters and appropriate fixation characteristics were associated with postoperative stability, whereas smaller L, θ, or P values and unfavorable fixation characteristics were associated with increased regression risk. These patterns should be interpreted as reference patterns rather than universal thresholds because they require validation in independent populations.

Figure 1: Anatomical schematic of the medial canthal tendon (MCT) anterior limb and standardized definition of intraoperative folding parameters. (A) Medial canthus anatomy highlighting the MCT anterior limb and adjacent orbicularis layers; (B) intraoperative exposure showing folding trajectory and landmarks; (C) close-up defining folding length (L), angle (θ), and fold-point position (P). Please click here to view a larger version of this figure.

Figure 2: Step-by-step intraoperative photographs of modified V-shaped concealed flap canthoplasty with standardized V-design marking, anterior MCT limb folding, and fixation. (A) Preoperative concealed V-shaped incision design with reference points and planned medial canthal displacement; (B) confirmation of anatomical landmarks, symmetry, and fold axis before incision; (C) incision and exposure of the medial canthal region, identification of the anterior limb of the medial canthal tendon (MCT); (D) standardized folding maneuver of the anterior MCT limb, fixation of the folded structure; (E) flap redraping and wound closure; (F) immediate postoperative view. Please click here to view a larger version of this figure.

Figure 3: Intraoperative quantification workflow for anterior MCT limb folding parameters and medial canthal angle measurement: reference landmarks, traction standardization, and measurement geometry. (A) Reference landmarks defining the medial canthal angle (MCA), including the medial canthal point and superior/inferior palpebral-margin reference lines; (B) standardized traction direction to flatten the fold; (C) intraoperative measurement of folding length (L) and fold-point position (P); (D) close-up showing folding angle (θ) and fixation point geometry. Please click here to view a larger version of this figure.

Figure 4: Independent risk factors for postoperative medial canthal angle regression: multivariable effect estimates of intraoperative anterior MCT limb folding parameters and baseline covariates. (A) Multivariable forest plot of adjusted odds ratios (ORs) with 95% confidence intervals (CIs); (B) dose–response curves for L, θ, and P; (C) standardized predictor importance ranking; (D) observed regression rates across low/intermediate/high predicted-risk strata. Please click here to view a larger version of this figure.

Figure 5: Performance of the prediction model for 6-month medial canthal angle regression: discrimination, calibration, and internal validation. (A) Receiver operating characteristic (ROC) curve with apparent area under the curve (AUC) and 95% confidence interval (CI); (B) calibration plot with apparent calibration intercept, slope, and Brier score; (C) apparent and optimism-corrected metrics; (D) threshold-based classification performance at the 0.20 risk threshold. Please click here to view a larger version of this figure.

Figure 6: Clinical utility of the internally validated model: decision-curve analysis and risk stratification of predicted 6-month medial canthal angle regression probability. (A) Decision curve analysis; (B) observed regression rates by predicted-risk stratum; (C) sensitivity and specificity at the 0.20 threshold; (D) net reclassification improvement (NRI). Please click here to view a larger version of this figure.

Figure 7: Representative case demonstrating postoperative medial canthal angle regression after modified V-shaped concealed flap canthoplasty. (A–D) Standardized preoperative and postoperative full-face and close-up photographs used to evaluate the medial canthal angle (MCA) and medial canthal point position. During follow-up, the case showed MCA regression of 3.2° and medial canthal point displacement of 1.8 mm. Please click here to view a larger version of this figure.
Table 1: Baseline demographic, anatomic, and surgical characteristics of the study cohort. Abbreviations: BMI, Body Mass Index; ICD, Intercanthal Distance; MCA, Medial Canthal Angle. Please click here to download this Table.
Table 2: Intraoperative quantitative folding parameters of the anterior limb of the medial canthal tendon (MCT) and measurement reliability. Abbreviations: ICC, intraclass correlation coefficient. Please click here to download this Table.
Table 3: Definition and incidence of postoperative medial canthal angle regression across follow-up timepoints. Abbreviations: IQR, Interquartile Range; MCA, Medial Canthal Angle. Please click here to download this Table.
Table 4: Univariable analysis of candidate predictors for postoperative medial canthal angle regression. Abbreviations: ICD, Intercanthal Distance; MCA, Medial Canthal Angle; OR, odds ratio; CI, confidence interval. Please click here to download this Table.
Table 5: Final multivariable model coefficients and risk score derivation for predicting medial canthal angle regression. Abbreviations: CI, confidence interval; OR, odds ratio; MCA, Medial Canthal Angle. Please click here to download this Table.
Table 6: Predictive performance, calibration, and clinical utility of the model (internal validation). Abbreviations: NRI, Net reclassification improvement; CI, confidence interval; PPV, Positive Predictive Value; NPV, Negative Predictive Value. Please click here to download this Table.