南方医科大学学报 ›› 2026, Vol. 46 ›› Issue (8): 1861-1869.doi: 10.12122/j.issn.1673-4254.2026.08.13
• • 上一篇
史士恒1(
), 花代平1, 项尚1, 孙兰婷1, 宣巧玉1, 杨文明1,2, 汪瀚1,2(
)
收稿日期:2025-12-22
出版日期:2026-08-20
发布日期:2026-08-01
通讯作者:
汪瀚
E-mail:156767269@qq.com;neuwhah@126.com
作者简介:史士恒,在读博士研究生,E-mail: 156767269@qq.com
基金资助:
Shiheng SHI1(
), Daiping HUA1, Shang XIANG1, Lanting SUN1, Qiaoyu XUAN1, Wenming YANG1,2, Han WANG1,2(
)
Received:2025-12-22
Online:2026-08-20
Published:2026-08-01
Contact:
Han WANG
E-mail:156767269@qq.com;neuwhah@126.com
Supported by:摘要:
目的 构建基于机器学习的Wilson病(WD)患者合并脂肪肝的预测模型,并评估其效能。 方法 回顾性收集安徽中医药大学第一附属医院1862例WD患者的临床资料,按7∶3分为训练集(n=1296)和验证集(n=566),采用最小绝对收缩和选择算子(LASSO)筛选关键预测变量,运用逻辑回归(LR)、决策树(DT)、随机森林(RF)、极端梯度提升(XGBoost)、轻量梯度提升机(LightGBM)、支持向量机(SVM)和人工神经网络(ANN)7种算法构建预测模型,结合受试者工作特征曲线下面积(AUC)、精准-召回曲线(PR)、校准曲线、决策曲线分析(DCA)评估模型性能,通过SHAP分析每个特征对模型预测的贡献。 结果 本研究纳入的1862例WD患者中1296 例(69.60%)合并脂肪肝。LASSO回归筛选出血小板计数(PLT)、红细胞分布宽度(RDW)、丙氨酸氨基转移酶(ALT)、总胆汁酸(TBA)、IV型胶原(CIV)、间接胆红素(IBIL)6项关键预测变量。在7种模型中,LightGBM模型综合效能最优:训练集AUC为0.826(95% CI:0.801~0.849),校准度良好(Brier评分0.143);验证集AUC为 0.815(95% CI:0.776~0.852),PR平均精确率高(AP=0.903),校准度良好(Brier评分0.138),DCA证实其具有临床净获益。SHAP分析表明ALT、IBIL、TBA、CIV对模型输出有显著的正向影响,RDW、PLT对预测结果的累积影响极小。 结论 本研究构建并验证了7种WD脂肪肝的预测模型,其中LightGBM模型更具优势,可为WD患者脂肪肝的早期筛查与风险分层提供一种可靠的评估工具。
史士恒, 花代平, 项尚, 孙兰婷, 宣巧玉, 杨文明, 汪瀚. 基于机器学习的Wilson病脂肪肝预测模型的开发与验证[J]. 南方医科大学学报, 2026, 46(8): 1861-1869.
Shiheng SHI, Daiping HUA, Shang XIANG, Lanting SUN, Qiaoyu XUAN, Wenming YANG, Han WANG. Development and validation of a machine learning-based prediction model for fatty liver in Wilson disease[J]. Journal of Southern Medical University, 2026, 46(8): 1861-1869.
| Variable | Overall (n=1862) | Non-fatty liver group (n=566) | Fatty liver group (n=1296) | P |
|---|---|---|---|---|
| Male[n (%)] | 1057 (56.77) | 312 (55.12) | 745 (57.48) | 0.371 |
| Age (years) | 30.00 (23.00, 37.00) | 29.00 (23.00, 36.00) | 30.00 (23.00, 37.00) | 0.170 |
| BMI (kg/m2) | 21.26 (19.05, 23.79) | 21.22 (19.16, 23.61) | 21.30 (19.05, 23.92) | 0.600 |
| WBC (×10⁹/L) | 4.60 (3.61, 5.83) | 4.72 (3.84, 5.96) | 4.52 (3.51, 5.73) | 0.003 |
| RBC (×10¹²/L) | 4.37 (3.99, 4.79) | 4.39 (4.07, 4.78) | 4.36 (3.95, 4.79) | 0.038 |
| Hb (g/L) | 130.00 (118.00, 142.00) | 130.00 (119.00, 142.00) | 130.00 (117.00, 142.00) | 0.377 |
| PLT (×10⁹/L) | 144.00 (94.00, 203.00) | 159.50(111.00, 217.00) | 138.00 (87.75, 196.25) | <0.001 |
| RDW (%) | 13.30 (12.70, 14.30) | 13.10 (12.50, 13.90) | 13.40 (12.70, 14.50) | <0.001 |
| ALT (U/L) | 30.40 (20.02, 53.10) | 24.10 (17.00, 40.30) | 34.00 (21.98, 59.12) | <0.001 |
| AST (U/L) | 29.00 (22.00, 43.60) | 26.00 (20.40, 36.00) | 30.65(23.00, 46.00) | <0.001 |
| TP (g/L) | 63.60 (60.00, 67.60) | 64.10 (60.60, 67.77) | 63.40 (59.80, 67.43) | 0.048 |
| GLB (g/L) | 24.40 (21.90, 27.70) | 24.20 (21.90, 27.08) | 24.50 (21.90, 27.90) | 0.141 |
| A/G | 1.61 (1.36, 1.86) | 1.64 (1.41, 1.87) | 1.59 (1.34, 1.86) | 0.014 |
| GGT(U/L) | 31.00 (19.00, 58.00) | 28.00 (18.00, 52.00) | 32.00 (20.00, 61.25) | <0.001 |
| ALP (U/L) | 96.00 (76.00, 124.00) | 93.00 (75.00, 118.00) | 98.00 (78.00, 127.00) | 0.002 |
| LDH (U/L) | 168.00 (146.00, 198.00) | 166.00 (145.25, 192.00) | 170.00 (146.75, 201.25) | 0.010 |
| GLU (mmol/L) | 4.61 (4.32, 4.93) | 4.62 (4.34, 4.95) | 4.60 (4.31, 4.92) | 0.454 |
| TG (mmol/L) | 0.92 (0.71, 1.22) | 0.97 (0.75, 1.29) | 0.88 (0.69, 1.19) | <0.001 |
| TC (mmol/L) | 4.05 (3.51, 4.66) | 4.08 (3.61, 4.66) | 4.04 (3.47, 4.65) | 0.131 |
| HDL-C (mmol/L) | 1.26 (1.07, 1.48) | 1.27 (1.08, 1.52) | 1.26 (1.06, 1.47) | 0.008 |
| LDL-C (mmol/L) | 2.38 (2.01, 2.82) | 2.38 (2.01, 2.79) | 2.38 (2.00, 2.83) | 0.748 |
| TG/HDL-C | 0.72 (0.52, 1.02) | 0.74 (0.53, 1.02) | 0.70 (0.51, 1.02) | 0.349 |
| TBA (μmol/L) | 7.80 (4.50, 16.20) | 5.80 (3.70, 9.70) | 9.15 (5.00, 21.92) | <0.001 |
| Lp(a) (mg/L) | 53.75 (26.70, 115.50) | 58.45 (27.50, 129.10) | 51.65 (26.17, 110.93) | 0.079 |
| Hcy (μmol/L) | 11.30 (8.30, 15.80) | 11.10 (8.20, 15.88) | 11.30 (8.30, 15.72) | 0.718 |
| UA (μmol/L) | 222.50 (173.25, 285.75) | 221.50 (174.00, 282.00) | 223.00 (172.75, 286.00) | 0.860 |
| BUN (mmol/) | 4.88 (3.99, 5.90) | 4.93 (4.11, 5.98) | 4.87 (3.95, 5.85) | 0.076 |
| Cr (μmol/L) | 65.20 (54.00, 79.18) | 65.55 (53.12, 82.07) | 64.95 (54.68, 78.23) | 0.541 |
| PⅢNP (ng/mL) | 14.24 (9.92, 23.26) | 12.37 (9.18, 19.11) | 15.21 (10.20, 24.79) | <0.001 |
| LN (ng/mL) | 104.36 (80.90, 140.61) | 98.98 (76.04, 126.21) | 108.03 (82.45, 151.14) | <0.001 |
| HA (ng/mL) | 123.04 (71.61, 226.08) | 102.69 (61.83, 176.16) | 134.66 (77.42, 248.96) | <0.001 |
| CIV (ng/mL) | 66.87 (49.04, 101.60) | 57.42 (40.35, 79.25) | 72.22 (51.76, 109.73) | <0.001 |
| INR | 1.01 (0.95, 1.09) | 1.00 (0.94, 1.07) | 1.02 (0.96, 1.11) | <0.001 |
| FIB (g/L) | 2.08 (1.78, 2.42) | 2.17 (1.86, 2.54) | 2.04 (1.74, 2.38) | <0.001 |
| PT (s) | 31.00 (29.10, 33.10) | 30.70 (28.92, 32.68) | 31.00 (29.10, 33.40) | 0.002 |
| APTT (s) | 11.50 (10.80, 12.40) | 11.30 (10.60, 12.00) | 11.50 (10.90, 12.60) | <0.001 |
| TBIL (μmol/L) | 15.20 (11.30, 20.58) | 13.60 (9.10, 17.98) | 15.91 (12.00, 21.70) | <0.001 |
| DBIL (μmol/L) | 3.20 (2.40, 4.50) | 2.80 (1.90, 3.90) | 3.40 (2.50, 4.73) | <0.001 |
| IBIL (μmol/L) | 11.80 (8.80, 16.00) | 10.30 (7.00, 13.90) | 12.40 (9.47, 17.00) | <0.001 |
| 24-h UCu (μg/24 h) | 748.37 (423.13, 1151.57) | 703.16 (420.82, 1108.14) | 762.30 (427.12, 1162.81) | 0.294 |
表1 WD患者脂肪肝组与非脂肪肝组的基线特征
Tab.1 Baseline characteristics of WD patients with and without fatty liver [Median (IQR)]
| Variable | Overall (n=1862) | Non-fatty liver group (n=566) | Fatty liver group (n=1296) | P |
|---|---|---|---|---|
| Male[n (%)] | 1057 (56.77) | 312 (55.12) | 745 (57.48) | 0.371 |
| Age (years) | 30.00 (23.00, 37.00) | 29.00 (23.00, 36.00) | 30.00 (23.00, 37.00) | 0.170 |
| BMI (kg/m2) | 21.26 (19.05, 23.79) | 21.22 (19.16, 23.61) | 21.30 (19.05, 23.92) | 0.600 |
| WBC (×10⁹/L) | 4.60 (3.61, 5.83) | 4.72 (3.84, 5.96) | 4.52 (3.51, 5.73) | 0.003 |
| RBC (×10¹²/L) | 4.37 (3.99, 4.79) | 4.39 (4.07, 4.78) | 4.36 (3.95, 4.79) | 0.038 |
| Hb (g/L) | 130.00 (118.00, 142.00) | 130.00 (119.00, 142.00) | 130.00 (117.00, 142.00) | 0.377 |
| PLT (×10⁹/L) | 144.00 (94.00, 203.00) | 159.50(111.00, 217.00) | 138.00 (87.75, 196.25) | <0.001 |
| RDW (%) | 13.30 (12.70, 14.30) | 13.10 (12.50, 13.90) | 13.40 (12.70, 14.50) | <0.001 |
| ALT (U/L) | 30.40 (20.02, 53.10) | 24.10 (17.00, 40.30) | 34.00 (21.98, 59.12) | <0.001 |
| AST (U/L) | 29.00 (22.00, 43.60) | 26.00 (20.40, 36.00) | 30.65(23.00, 46.00) | <0.001 |
| TP (g/L) | 63.60 (60.00, 67.60) | 64.10 (60.60, 67.77) | 63.40 (59.80, 67.43) | 0.048 |
| GLB (g/L) | 24.40 (21.90, 27.70) | 24.20 (21.90, 27.08) | 24.50 (21.90, 27.90) | 0.141 |
| A/G | 1.61 (1.36, 1.86) | 1.64 (1.41, 1.87) | 1.59 (1.34, 1.86) | 0.014 |
| GGT(U/L) | 31.00 (19.00, 58.00) | 28.00 (18.00, 52.00) | 32.00 (20.00, 61.25) | <0.001 |
| ALP (U/L) | 96.00 (76.00, 124.00) | 93.00 (75.00, 118.00) | 98.00 (78.00, 127.00) | 0.002 |
| LDH (U/L) | 168.00 (146.00, 198.00) | 166.00 (145.25, 192.00) | 170.00 (146.75, 201.25) | 0.010 |
| GLU (mmol/L) | 4.61 (4.32, 4.93) | 4.62 (4.34, 4.95) | 4.60 (4.31, 4.92) | 0.454 |
| TG (mmol/L) | 0.92 (0.71, 1.22) | 0.97 (0.75, 1.29) | 0.88 (0.69, 1.19) | <0.001 |
| TC (mmol/L) | 4.05 (3.51, 4.66) | 4.08 (3.61, 4.66) | 4.04 (3.47, 4.65) | 0.131 |
| HDL-C (mmol/L) | 1.26 (1.07, 1.48) | 1.27 (1.08, 1.52) | 1.26 (1.06, 1.47) | 0.008 |
| LDL-C (mmol/L) | 2.38 (2.01, 2.82) | 2.38 (2.01, 2.79) | 2.38 (2.00, 2.83) | 0.748 |
| TG/HDL-C | 0.72 (0.52, 1.02) | 0.74 (0.53, 1.02) | 0.70 (0.51, 1.02) | 0.349 |
| TBA (μmol/L) | 7.80 (4.50, 16.20) | 5.80 (3.70, 9.70) | 9.15 (5.00, 21.92) | <0.001 |
| Lp(a) (mg/L) | 53.75 (26.70, 115.50) | 58.45 (27.50, 129.10) | 51.65 (26.17, 110.93) | 0.079 |
| Hcy (μmol/L) | 11.30 (8.30, 15.80) | 11.10 (8.20, 15.88) | 11.30 (8.30, 15.72) | 0.718 |
| UA (μmol/L) | 222.50 (173.25, 285.75) | 221.50 (174.00, 282.00) | 223.00 (172.75, 286.00) | 0.860 |
| BUN (mmol/) | 4.88 (3.99, 5.90) | 4.93 (4.11, 5.98) | 4.87 (3.95, 5.85) | 0.076 |
| Cr (μmol/L) | 65.20 (54.00, 79.18) | 65.55 (53.12, 82.07) | 64.95 (54.68, 78.23) | 0.541 |
| PⅢNP (ng/mL) | 14.24 (9.92, 23.26) | 12.37 (9.18, 19.11) | 15.21 (10.20, 24.79) | <0.001 |
| LN (ng/mL) | 104.36 (80.90, 140.61) | 98.98 (76.04, 126.21) | 108.03 (82.45, 151.14) | <0.001 |
| HA (ng/mL) | 123.04 (71.61, 226.08) | 102.69 (61.83, 176.16) | 134.66 (77.42, 248.96) | <0.001 |
| CIV (ng/mL) | 66.87 (49.04, 101.60) | 57.42 (40.35, 79.25) | 72.22 (51.76, 109.73) | <0.001 |
| INR | 1.01 (0.95, 1.09) | 1.00 (0.94, 1.07) | 1.02 (0.96, 1.11) | <0.001 |
| FIB (g/L) | 2.08 (1.78, 2.42) | 2.17 (1.86, 2.54) | 2.04 (1.74, 2.38) | <0.001 |
| PT (s) | 31.00 (29.10, 33.10) | 30.70 (28.92, 32.68) | 31.00 (29.10, 33.40) | 0.002 |
| APTT (s) | 11.50 (10.80, 12.40) | 11.30 (10.60, 12.00) | 11.50 (10.90, 12.60) | <0.001 |
| TBIL (μmol/L) | 15.20 (11.30, 20.58) | 13.60 (9.10, 17.98) | 15.91 (12.00, 21.70) | <0.001 |
| DBIL (μmol/L) | 3.20 (2.40, 4.50) | 2.80 (1.90, 3.90) | 3.40 (2.50, 4.73) | <0.001 |
| IBIL (μmol/L) | 11.80 (8.80, 16.00) | 10.30 (7.00, 13.90) | 12.40 (9.47, 17.00) | <0.001 |
| 24-h UCu (μg/24 h) | 748.37 (423.13, 1151.57) | 703.16 (420.82, 1108.14) | 762.30 (427.12, 1162.81) | 0.294 |
图2 LASSO回归筛选WD患者脂肪肝预测变量的特征选择图
Fig.2 Feature selection plot of LASSO regression for screening predictors of fatty liver in WD patients. A: Distribution of LASSO regression coefficients. B: Determination of the regularization parameter (λ) for the LASSO model by 10-fold cross-validation. The left dashed line represents the λmin, and the right dashed line represents λ1se.
| Model | AUC (95% CI) | Accuracy | Precision | Sensitivity | Specificity | F1 Score | Youden's J | PPV | NPV |
|---|---|---|---|---|---|---|---|---|---|
| Training set | |||||||||
| LR | 0.738 (0.710-0.765) | 0.728 | 0.752 | 0.910 | 0.312 | 0.823 | 0.222 | 0.752 | 0.602 |
| DT | 0.785 (0.759-0.811) | 0.800 | 0.777 | 0.999 | 0.345 | 0.874 | 0.344 | 0.777 | 0.993 |
| RF | 0.840 (0.816-0.863) | 0.802 | 0.780 | 0.994 | 0.360 | 0.875 | 0.355 | 0.780 | 0.966 |
| XGBoost | 0.811 (0.785-0.837) | 0.785 | 0.767 | 0.992 | 0.310 | 0.865 | 0.302 | 0.767 | 0.946 |
| LightGBM | 0.826 (0.801-0.849) | 0.797 | 0.778 | 0.991 | 0.353 | 0.872 | 0.344 | 0.778 | 0.946 |
| SVM | 0.735 (0.706-0.762) | 0.741 | 0.739 | 0.970 | 0.217 | 0.839 | 0.187 | 0.739 | 0.761 |
| ANN | 0.771 (0.744-0.795) | 0.759 | 0.778 | 0.915 | 0.403 | 0.841 | 0.318 | 0.778 | 0.675 |
| Validation set | |||||||||
| LR | 0.729 (0.684-0.772) | 0.713 | 0.751 | 0.879 | 0.331 | 0.810 | 0.210 | 0.751 | 0.544 |
| DT | 0.785 (0.744-0.824) | 0.808 | 0.786 | 0.995 | 0.379 | 0.878 | 0.374 | 0.786 | 0.970 |
| RF | 0.809 (0.770-0.848) | 0.813 | 0.793 | 0.990 | 0.408 | 0.881 | 0.398 | 0.793 | 0.945 |
| XGBoost | 0.804 (0.764-0.843) | 0.799 | 0.780 | 0.990 | 0.361 | 0.873 | 0.351 | 0.780 | 0.938 |
| LightGBM | 0.815 (0.776-0.852) | 0.820 | 0.798 | 0.995 | 0.420 | 0.885 | 0.415 | 0.798 | 0.973 |
| SVM | 0.722 (0.677-0.767) | 0.731 | 0.743 | 0.938 | 0.254 | 0.829 | 0.193 | 0.743 | 0.642 |
| ANN | 0.734 (0.691-0.780) | 0.754 | 0.777 | 0.907 | 0.402 | 0.837 | 0.310 | 0.777 | 0.654 |
表2 不同机器学习模型预测WD患者脂肪肝的性能表现对比分析
Tab.2 Performance comparison of different machine learning models for predicting fatty liver in WD patients
| Model | AUC (95% CI) | Accuracy | Precision | Sensitivity | Specificity | F1 Score | Youden's J | PPV | NPV |
|---|---|---|---|---|---|---|---|---|---|
| Training set | |||||||||
| LR | 0.738 (0.710-0.765) | 0.728 | 0.752 | 0.910 | 0.312 | 0.823 | 0.222 | 0.752 | 0.602 |
| DT | 0.785 (0.759-0.811) | 0.800 | 0.777 | 0.999 | 0.345 | 0.874 | 0.344 | 0.777 | 0.993 |
| RF | 0.840 (0.816-0.863) | 0.802 | 0.780 | 0.994 | 0.360 | 0.875 | 0.355 | 0.780 | 0.966 |
| XGBoost | 0.811 (0.785-0.837) | 0.785 | 0.767 | 0.992 | 0.310 | 0.865 | 0.302 | 0.767 | 0.946 |
| LightGBM | 0.826 (0.801-0.849) | 0.797 | 0.778 | 0.991 | 0.353 | 0.872 | 0.344 | 0.778 | 0.946 |
| SVM | 0.735 (0.706-0.762) | 0.741 | 0.739 | 0.970 | 0.217 | 0.839 | 0.187 | 0.739 | 0.761 |
| ANN | 0.771 (0.744-0.795) | 0.759 | 0.778 | 0.915 | 0.403 | 0.841 | 0.318 | 0.778 | 0.675 |
| Validation set | |||||||||
| LR | 0.729 (0.684-0.772) | 0.713 | 0.751 | 0.879 | 0.331 | 0.810 | 0.210 | 0.751 | 0.544 |
| DT | 0.785 (0.744-0.824) | 0.808 | 0.786 | 0.995 | 0.379 | 0.878 | 0.374 | 0.786 | 0.970 |
| RF | 0.809 (0.770-0.848) | 0.813 | 0.793 | 0.990 | 0.408 | 0.881 | 0.398 | 0.793 | 0.945 |
| XGBoost | 0.804 (0.764-0.843) | 0.799 | 0.780 | 0.990 | 0.361 | 0.873 | 0.351 | 0.780 | 0.938 |
| LightGBM | 0.815 (0.776-0.852) | 0.820 | 0.798 | 0.995 | 0.420 | 0.885 | 0.415 | 0.798 | 0.973 |
| SVM | 0.722 (0.677-0.767) | 0.731 | 0.743 | 0.938 | 0.254 | 0.829 | 0.193 | 0.743 | 0.642 |
| ANN | 0.734 (0.691-0.780) | 0.754 | 0.777 | 0.907 | 0.402 | 0.837 | 0.310 | 0.777 | 0.654 |
图3 WD患者脂肪肝预测模型在训练集与验证集的AUC、校准曲线及决策曲线
Fig.3 AUC, calibration curves and decision curves of fatty liver prediction models for WD patients in the training and validation sets. A: Training-set AUC. B: Validation-set AUC. C: Training-set calibration curves. D: Validation-set calibration curves. E: Training-set decision curves. F: Validation-set decision curves.
图4 WD患者脂肪肝预测模型在验证集的PR曲线图
Fig.4 PR curve of the prediction model for fatty liver in WD patients in the validation set. X-axis: Recall; Y-axis: Precision. Colored curves: machine learning models (annotated with AP values, higher = better performance). Red dashed line: sample prevalence (69.7%, random guessing baseline).
图5 LightGBM模型预测WD患者脂肪肝的SHAP可解释性分析
Fig.5 SHAP interpretability analysis of the LightGBM model for predicting fatty liver in WD patients. A: Beeswarm plot of SHAP values for each feature. Each point represents a sample. Greater dispersion of points indicates a more significant impact on the model output. Colors represent feature values (red=high, blue=low). B: Bar plot of mean absolute SHAP values. Each row represents a feature, with higher values indicating greater overall contribution to the model prediction. C: Waterfall plot of SHAP values for a single sample. Baseline E[f(X)] denotes the expected model output, and final f(x)denotes the sample-specific prediction. Red bars represent positive SHAP contributions (pushing the prediction upward), while blue bars represent negative contributions (pushing the prediction downward). Labels show each feature and its corresponding SHAP value.
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