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Patient baseline characteristics
This study included 554 patients with gallbladder polyps, consisting of 272 cholesterol polyps and 282 neoplastic polyps (233 gallbladder adenomas and 49 polypoid gallbladder carcinomas). The male-to-female ratio was 1:1.6 (214 males and 340 females), and patient age ranged from 22 to 78 years, with a mean age of 48 years. These baseline findings are presented descriptively, and variables not included in the regression model were not used for predictive analysis.
Comparison between cholesterol polyps and neoplastic polyps
Univariate analysis was performed to compare clinical, conventional ultrasound, and contrast-enhanced ultrasound (CEUS) features between cholesterol and neoplastic polyps. Although cholesterol polyps demonstrated a smaller mean diameter than neoplastic polyps, this finding should be interpreted in the context of a surgically selected cohort, in which lesion selection was influenced by combined clinical and imaging risk factors rather than size alone. Accordingly, polyp diameter was analyzed both as a continuous variable and as a candidate predictor in the multivariable model, rather than as an isolated determinant.
Significant differences (p < 0.05) were observed between the two groups across several clinical and imaging parameters. Patients with neoplastic polyps tended to be older, and their lesions were more frequently solitary, larger (>10 mm), heterogeneous in echogenicity, and showed relatively abundant blood flow signals. In contrast, cholesterol polyps were more commonly multiple, smaller, predominantly hyperechoic, and associated with sparse flow signals.
On CEUS, neoplastic polyps often demonstrated branched vascular patterns, hyper-enhancement, and a broad base, with some cases showing heterogeneous enhancement and evidence of gallbladder wall destruction. Although gallbladder wall disruption was observed in a small proportion (3.7%) of cholesterol polyps, cholesterol polyps typically exhibited dot-like or single-vessel enhancement patterns, moderate enhancement, a narrow base, and preserved gallbladder wall integrity (p < 0.001). No statistically significant differences were found between the two groups regarding gender distribution, polyp location, or gross morphology (p > 0.05). These findings are summarized in Table 1 and illustrated in Figure 2 and Figure 3.
A secondary descriptive comparison between gallbladder adenomas and polypoid gallbladder carcinomas was performed as a supplementary analysis to further illustrate biological differences within the neoplastic group.
Multivariate logistic regression analysis
Variables identified as significant in univariate analysis were entered into a multivariable logistic regression model to determine independent predictors of neoplastic polyps. The final model identified branched vascular morphology (β = 1.685, OR = 5.392), hyper-enhancement (β = 1.472, OR = 4.367), and basal width (β = 1.086, OR = 2.961) as independent predictors of neoplastic polyps (all p < 0.001). Odds ratios (ORs) with 95% confidence intervals (CIs) for all predictors are presented in Table 2. These three variables comprised the final multivariable model and were subsequently used to derive scores.
The regression equation was defined as:
Logit(P) = -5.324 + 1.685 × (branched vascular morphology) + 1.472 × (hyper-enhancement) + 1.086 × (basal width).
Internal validation using bootstrap resampling (1,000 iterations) yielded an original AUC of 0.88 and an optimism-corrected AUC of 0.86, indicating limited performance decrement after resampling.
Calibration analysis showed acceptable agreement between predicted and observed outcomes, with a non-significant Hosmer–Lemeshow test (p = 0.47). The calibration curve is presented in Figure 4, and detailed validation and calibration metrics are summarized in Table 3.
Diagnostic performance analysis
ROC analysis identified cohort-specific exploratory cut-points of 14 mm for polyp diameter and 3.5 mm for basal width; these values are reported descriptively and should not be interpreted as fixed clinical thresholds. When the three model-derived predictors (enhancement intensity, vascular morphology, and basal width) were combined, the resulting sensitivity, specificity, and overall accuracy were superior to those of any single parameter. Compared with polyp diameter alone, the combined indicators produced a significantly larger area under the curve (AUC) (p < 0.01), demonstrating that a multi-parameter approach may improve diagnostic accuracy for differentiating cholesterol from neoplastic gallbladder polyps. These results are summarized in Table 4 and Figure 5.
Development of a risk prediction scoring system
A point-based exploratory scoring system was derived from the β coefficients of the final multivariable logistic regression model. Only predictors retained in the final multivariable logistic regression model—branched vascular morphology, hyper-enhancement, and basal width—were used for score derivation. Additional ultrasonographic features were analyzed descriptively but were not included in the final model and did not contribute to the scoring system. Coefficients were scaled relative to the smallest β coefficient and rounded to generate simplified integer point values. Supplementary ultrasonographic features were analyzed descriptively but were not incorporated into the core model-derived score.
The cumulative score provided an estimate of the likelihood of neoplastic pathology in individual patients based on the independent predictors identified in the multivariable regression model. In addition, supplementary ultrasonographic features (such as polyp diameter, echogenicity, intralesional flow signals, and concomitant gallbladder abnormalities) were incorporated as descriptive variables to enhance clinical interpretability; however, these variables were not included in the final regression model and therefore did not contribute to the core model-derived risk estimation.
Concomitant gallbladder abnormalities—such as gallbladder wall thickening >3 mm, porcelain gallbladder, or gallstones—were evaluated as supplementary descriptive features and were not retained in the final multivariable model. The scoring system was constructed using regression coefficient-based weighting, providing a preliminary and exploratory tool for clinical risk assessment. These findings are presented in Table 5.
Quantitative risk prediction scoring system
The standardized scoring system assigns 0–2 points to each predictor based on the relative magnitude of its regression coefficient (β), with higher coefficient-derived weights corresponding to higher scores. In clinical practice, physicians can evaluate cases using the core model-derived predictors, while supplementary ultrasonographic features may be considered separately for contextual interpretation (Table 6). A higher cumulative score indicates a greater likelihood of neoplastic pathology. This system provides a quantitative, intuitive framework for clinical risk stratification.
DATA AVAILABILITY:
All data supporting the findings of this study are provided within the manuscript and Supplementary File 1.

Figure 1: Patient flow diagram illustrating cohort selection and analysis workflow. Patient flow diagram illustrating study cohort selection, classification into cholesterol and neoplastic polyps, imaging evaluation, and statistical analysis workflow. Please click here to view a larger version of this figure.

Figure 2: Representative conventional ultrasound and contrast-enhanced ultrasound (CEUS) findings of a cholesterol gallbladder polyp with corresponding histopathology. (A) Conventional ultrasound image showing a hyperechoic polypoid lesion with a narrow stalk (arrow). (B–D) CEUS images demonstrating homogeneous iso- to mild hyper-enhancement (arrows). (E) Measurement of polyp diameter on ultrasound imaging. (F) Histopathological image (hematoxylin–eosin staining) confirming a cholesterol polyp. Please click here to view a larger version of this figure.

Figure 3: Representative conventional ultrasound and contrast-enhanced ultrasound (CEUS) findings of a neoplastic gallbladder polyp with corresponding histopathology. (A) Conventional ultrasound image showing a heterogeneous echogenic lesion with a broad base (arrow). (B–D) CEUS images demonstrating hyper-enhancement and branched or irregular vascular morphology (arrows). (E) Measurement of lesion size and basal width. (F) Histopathological image (hematoxylin–eosin staining) confirming a neoplastic polyp. Please click here to view a larger version of this figure.

Figure 4: Calibration curve of the multivariable predictive model. Predicted probabilities were grouped by deciles of risk and compared with observed event rates. The dashed diagonal line indicates ideal calibration. Please click here to view a larger version of this figure.

Figure 5: ROC curves for diagnostic performance of the model and predictors. Receiver operating characteristic (ROC) curves comparing diagnostic performance of the combined model and individual ultrasonographic predictors for differentiating cholesterol and neoplastic gallbladder polyps. The combined model showed the highest diagnostic performance (AUC = 0.935, 95% CI 0.900–0.960), followed by basal width (AUC = 0.888, 95% CI 0.840–0.930), branched vascular morphology (AUC = 0.832, 95% CI 0.780–0.880), polyp diameter (AUC = 0.825, 95% CI 0.768–0.870), and hyper-enhancement (AUC = 0.735, 95% CI 0.672–0.798). The x-axis represents 1 − specificity, and the y-axis represents sensitivity. Please click here to view a larger version of this figure.
| Variable | Cholesterol Polyps (n = 272) | Neoplastic Polyps (n = 282) | χ² Value | P Value |
| Gallbladder Adenomas (n = 233) | Polypoid Gallbladder Carcinomas (n = 49) |
| Sex [n (%)] | | | | 0.389 | 0.533 |
| Male | 97 (35.7) | 97 (41.6) | 20 (40.7) | | |
| Female | 175 (64.3) | 136 (58.4) | 29 (59.3) | | |
| Age (years, mean ± SD) | 42 | 53 | 58 | -4.012 | <0.001 |
| Polyp Number [n (%)] | | | | 13.462 | <0.001 |
| Solitary | 107 (39.3) | 175 (75.1) | 39 (80.0) | | |
| Multiple | 165 (60.7) | 58 (24.9) | 10 (20.0) | | |
| Polyp Location [n (%)] | | | | 1.025 | 0.599 |
| Fundus | 78 (28.6) | 58 (24.9) | 10 (20.4) | | |
| Body | 126 (46.4) | 116 (49.8) | 20 (40.8) | | |
| Neck | 68 (25.0) | 59 (25.3) | 19 (38.8) | | |
| Polyp Diameter (mm, mean ± SD) | 6.5 | 10.2 | 12.5 | -5.367 | <0.001 |
| Polyp Morphology [n (%)] | | | | 0.6438 | 0.727 |
| Regular | 165 (60.7) | 136 (58.4) | 29 (59.2) | | |
| Irregular | 107 (39.3) | 97 (41.6) | 20 (40.8) | | |
| Echogenicity [n (%)] | | | | 10.212 | 0.006 |
| Hypoechoic | 29 (10.7) | 58 (24.9) | 29 (59.2) | | |
| Isoechoic | 97 (35.7) | 88 (37.8) | 10 (20.4) | | |
| Hyperechoic | 146 (53.6) | 87 (37.3) | 9 (18.4) | | |
| Flow Signals [n (%)] | | | | 18.756 | <0.001 |
| Absent | 175 (64.4) | 48 (20.6) | 10 (20.4) | | |
| Sparse | 58 (21.3) | 78 (33.5) | 9 (18.4) | | |
| Rich | 39 (14.3) | 107 (45.9) | 30 (61.2) | | |
| CEUS | | | | | |
| Enhancement Intensity (arterial phase) [n (%)] | | | | 20.321 | <0.001 |
| Iso-enhancement | 194 (71.4) | 48 (20.6) | 10 (20.4) | | |
| Hyper-enhancement | 78 (28.6) | 185 (79.4) | 39 (79.6) | | |
| Enhancement Pattern [n (%)] | | | | 6.841 | 0.033 |
| Centripetal | 253 (93.0) | 204 (87.5) | 39 (79.6) | | |
| Centrifugal | 19 (7.0) | 29 (12.5) | 10 (20.4) | | |
| Vascular Morphology [n (%)] | | | | 22.534 | <0.001 |
| Dot-like | 155 (57.0) | 29 (12.4) | 0 (0.0) | | |
| Linear | 58 (21.3) | 39 (16.7) | 0 (0.0) | | |
| Branched | 39 (14.3) | 117 (50.2) | 20 (40.8) | | |
| Irregular | 20 (7.4) | 48 (20.6) | 29 (59.2) | | |
| Gallbladder Wall Integrity [n (%)] | | | | 4.218 | 0.04 |
| Intact | 262 (96.3) | 204 (87.6) | 39 (79.6) | | |
| Disrupted | 10 (3.7) | 29 (12.4) | 10 (20.4) | | |
| Basal Width [mm] | 2.2 | 4.5 | 6 | 9.123 | <0.001 |
Table 1: Comparison of baseline clinical and ultrasonographic (including CEUS) features between cholesterol and neoplastic gallbladder polyps.
Baseline characteristics and imaging features were compared between the two groups.
| Characteristic | Regression Coefficient (β) | Standard Error | Wald χ2 Value | p- Value | OR | 95% CI |
| Branched Vascular Morphology | 1.685 | 0.482 | 13.85 | <0.001 | 5.392 | 2.185~13.206 |
| Hyper-enhancement | 1.472 | 0.428 | 12.98 | <0.001 | 4.367 | 2.005~9.508 |
| Basal Width | 1.086 | 0.258 | 20.63 | <0.001 | 2.961 | 1.865~4.698 |
| Constant | -5.324 | 0.865 | 42.35 | <0.001 | 0.005 | - |
Table 2: Multivariable logistic regression analysis of independent predictors of neoplastic polyps. Regression coefficients, odds ratios, confidence intervals, and p-values for identified predictors.
| Metric | Value |
| Original AUC | 0.88 |
| Bootstrap-corrected AUC | 0.86 |
| Optimism (AUC difference) | 0.02 |
| Hosmer–Lemeshow χ² | 7.12 |
| Hosmer–Lemeshow p-value | 0.47 |
| Calibration slope | 0.94 |
| Calibration intercept | 0.03 |
Table 3: Internal validation and calibration performance of the multivariable predictive model. Model performance metrics, including AUC and calibration statistics.
| Indicator | Area Under Curve (AUC) (95% CI) | Sensitivity (%) | Specificity (%) | Accuracy (%) | Optimal Cut-off Value | p-Value |
| Diameter | 0.825 (0.768 - 0.870) | 80.2 | 73.5 | 76.8 | 14mm | <0.001 |
| Enhancement Intensity | 0.735 (0.672 - 0.798) | 77.5 | 70.8 | 74.2 | - | <0.001 |
| Vascular Morphology | 0.832 (0.780 - 0.880) | 85 | 75.5 | 81 | - | <0.001 |
| Basal Width | 0.888 (0.840 - 0.930) | 78 | 82 | 80.5 | 3.5mm | <0.001 |
| Combined Indicators | 0.935 (0.900 - 0.960) | 89 | 86 | 87.5 | - | <0.001 |
Table 4: Diagnostic performance of individual ultrasonographic and CEUS predictors and their combined model. Sensitivity, specificity, accuracy, and AUC values for each parameter and the combined model.
| Variable | Significance | β (Coefficient) | OR |
| Maximum Diameter | <0.001 | 1.6 | 5 |
| Basal Morphology | <0.001 | 1.3 | 3.7 |
| Internal Echogenicity | 0.002 | 0.9 | 2.5 |
| Flow Signals | <0.001 | 0.7 | 2 |
| Concomitant Gallbladder Abnormalities | 0.023 | 1.1 | 3 |
Table 5: Independent predictors retained in the final multivariable logistic regression model used for score derivation. Variables included in the final model and their corresponding regression parameters.
| Scoring Criterion | Scoring Criterion | Points |
| Maximum Diameter | <5 mm 0 points | 0/1/2 |
| 5-0mm 1 point |
| ≥10 mm 2 points |
| Basal Morphology | Pedunculated (stalk width ≤4 mm) 0 points. Wide stalk (stalk width >4 mm) 2 points | 0/2 |
| Internal Echogenicity | Homogeneous hyperechoic/isoechoic 0 points | 0/1 |
| Hypoechoic/heterogeneous 1 point |
| Flow Signals | No flow 0 points | 0/1/2 |
| Dot-like flow 1 point← |
| Rich flow 2 points |
| Concomitant Gallbladder Abnormalities | No abnormalities 0 points | 0/1 |
| Gallbladder wall thickening (>3 mm) 1 point |
| Porcelain gallbladder 1 point |
| Gallstones 1 point |
Table 6: Exploratory point-based scoring system derived from the final multivariable model. Assigned point values for each predictor based on regression coefficients.
Supplementary Figure 1: Representative contrast-enhanced ultrasound (CEUS) vascular morphology patterns used for classification. (A) Dot-like pattern: punctate focal enhancement without visible vascular continuity. (B) Linear pattern: a single vessel-like linear enhancement without branching. (C) Branched pattern: organized vascular architecture with a main trunk and visible side branches. (D) Irregular pattern: disorganized, tortuous, and non-hierarchical vascular structures lacking a clear branching pattern. Patterns were classified based on dynamic cine-loop assessment rather than single-frame evaluation.Please click here to download this file.
Supplementary File 1: The Supplementary materials include variable definitions, full regression outputs, scoring system derivation, and interobserver agreement analysis Please click here to download this file.