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Peer-reviewedCC BY 4.0Frontiers in Digital Health

Development and validation of predictive models for the hemodialysis adequacy index (Kt/V) using multiple linear regression and machine learning algorithms

2 more authors
8 affiliations
  1. 1Department of Nephrology, The Affiliated Hospital of Inner Mongolia Medical University, Hohhot, China
  2. 2Department of Nephrology, Hohhot First Hospital, Hohhot, China
  3. 3Department of Information Engineering, Ordos Vocational College, Ordos, China
  4. 4Hemodialysis Room, Togtoh County Hospital, Hohhot, China
  5. 5Department of Nephrology, Inner Mongolia Autonomous Region Hospital of Traditional Chinese Medicine, Hohhot, China
  6. 6The First Department of Specialty Medicine, Inner Mongolia Corps Hospital of the Chinese People’s Armed Police Force, Hohhot, China
  7. 7Department of Internal Medicine, The First Hospital of Inner Mongolia Autonomous Region Prison Administration, Hohhot, China
  8. 8Department of Nephrology, Inner Mongolia People’s Hospital, Hohhot, China

Abstract

Background and objective: Kt/V is a widely used indicator for assessing hemodialysis (HD) adequacy, but conventional measurement methods require blood sampling and are impractical for large-scale or real-time use. This study aimed to develop and validate predictive models for Kt/V using multiple linear regression (MLR) and machine learning algorithms, enabling clinicians to estimate dialysis adequacy before a session begins using simple, non-invasive parameters.

Methods: A total of 1,017 eligible patients were enrolled from seven HD centers in Hohhot City, China, and divided into training (n = 677), internal (n = 220), and external validation (n = 120) sets. From 26 candidate variables, eight clinically meaningful derived features were constructed, and a multi-algorithm fusion strategy integrating F test, Mutual Information, Random Forest importance, XGBoost importance, LASSO coefficients, Permutation Importance, Recursive Feature Elimination, and Boruta was employed for feature selection. Five final features (body surface area, pre-dialysis weight, standardized blood flow, sex, and circulating blood volume) were selected. Eight point-prediction models (MLR, XGBoost, LightGBM, Random Forest, Gradient Boosting, KNN, SVM, and BPNN), a simple average ensemble of the three top-performing models, and two probabilistic prediction methods (LightGBM Quantile Regression and NGBoost) were developed. Hyperparameter tuning was performed using GridSearchCV with 5-fold cross-validation. Model performance was evaluated using R2, RMSE, and MAE on internal and external validation sets.

Results: On external validation, the SVM model achieved the highest R2 (0.5931) and lowest RMSE (0.1633) and MAE (0.1214) among individual models, followed by Gradient Boosting (R2 = 0.5748, RMSE = 0.1670, MAE = 0.1276) and XGBoost (R2 = 0.5681, RMSE = 0.1683, MAE = 0.1288). The ensemble model achieved the best overall performance (R2 = 0.5911, RMSE = 0.1637, MAE = 0.1240). Calibration assessment revealed all models were well-calibrated without requiring post-hoc adjustment. For probabilistic prediction, NGBoost provided well-calibrated 80% prediction intervals (PICP = 82.27%) with narrower intervals than LightGBM Quantile Regression. SHAP analysis identified BSA, standardized blood flow, and gender as the most influential predictors.

Conclusion: Machine learning models, particularly SVM, the ensemble model, and NGBoost, can provide accurate, interpretable, and uncertainty-aware predictions of Kt/V using non-invasive, readily available parameters. The development of a local standalone executable application further facilitates clinical translation, enabling pre-dialysis prediction and real-time prescription adjustment. Prospective validation in diverse populations is warranted to confirm generalizability.

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BibTeX
@article{li2026development,
  title = {{Development and validation of predictive models for the hemodialysis adequacy index (Kt/V) using multiple linear regression and machine learning algorithms}},
  author = {Le-le Li and Rui-feng Xu and Liang-liang Huang and Bing-ru Lu and Shu-ting Zhang and Ya Tuo and Hui-qing Liu and Rui Ren and Shu-fang Wang and Ming-xia Sun and Xiao-tong Zhang and Jian-rong Zhao and Lei Yu and Yan Meng},
  journal = {Frontiers in Digital Health},
  year = {2026},
  month = oct,
  doi = {10.3389/fdgth.2026.1771806},
  url = {https://doi.org/10.3389/fdgth.2026.1771806},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Development and validation of predictive models for the hemodialysis adequacy index (Kt/V) using multiple linear regression and machine learning algorithms
AU  - Le-le Li
AU  - Rui-feng Xu
AU  - Liang-liang Huang
AU  - Bing-ru Lu
AU  - Shu-ting Zhang
AU  - Ya Tuo
AU  - Hui-qing Liu
AU  - Rui Ren
AU  - Shu-fang Wang
AU  - Ming-xia Sun
AU  - Xiao-tong Zhang
AU  - Jian-rong Zhao
AU  - Lei Yu
AU  - Yan Meng
PY  - 2026
DA  - 2026/10/12
JO  - Frontiers in Digital Health
DO  - 10.3389/fdgth.2026.1771806
UR  - https://doi.org/10.3389/fdgth.2026.1771806
AB  - Background and objective: Kt/V is a widely used indicator for assessing hemodialysis (HD) adequacy, but conventional measurement methods require blood sampling and are impractical for large-scale or real-time use. This study aimed to develop and validate predictive models for Kt/V using multiple linear regression (MLR) and machine learning algorithms, enabling clinicians to estimate dialysis adequacy before a session begins using simple, non-invasive parameters.  Methods: A total of 1,017 eligible patients were enrolled from seven HD centers in Hohhot City, China, and divided into training (n = 677), internal (n = 220), and external validation (n = 120) sets. From 26 candidate variables, eight clinically meaningful derived features were constructed, and a multi-algorithm fusion strategy integrating F test, Mutual Information, Random Forest importance, XGBoost importance, LASSO coefficients, Permutation Importance, Recursive Feature Elimination, and Boruta was employed for feature selection. Five final features (body surface area, pre-dialysis weight, standardized blood flow, sex, and circulating blood volume) were selected. Eight point-prediction models (MLR, XGBoost, LightGBM, Random Forest, Gradient Boosting, KNN, SVM, and BPNN), a simple average ensemble of the three top-performing models, and two probabilistic prediction methods (LightGBM Quantile Regression and NGBoost) were developed. Hyperparameter tuning was performed using GridSearchCV with 5-fold cross-validation. Model performance was evaluated using R2, RMSE, and MAE on internal and external validation sets.  Results: On external validation, the SVM model achieved the highest R2 (0.5931) and lowest RMSE (0.1633) and MAE (0.1214) among individual models, followed by Gradient Boosting (R2 = 0.5748, RMSE = 0.1670, MAE = 0.1276) and XGBoost (R2 = 0.5681, RMSE = 0.1683, MAE = 0.1288). The ensemble model achieved the best overall performance (R2 = 0.5911, RMSE = 0.1637, MAE = 0.1240). Calibration assessment revealed all models were well-calibrated without requiring post-hoc adjustment. For probabilistic prediction, NGBoost provided well-calibrated 80% prediction intervals (PICP = 82.27%) with narrower intervals than LightGBM Quantile Regression. SHAP analysis identified BSA, standardized blood flow, and gender as the most influential predictors.  Conclusion: Machine learning models, particularly SVM, the ensemble model, and NGBoost, can provide accurate, interpretable, and uncertainty-aware predictions of Kt/V using non-invasive, readily available parameters. The development of a local standalone executable application further facilitates clinical translation, enabling pre-dialysis prediction and real-time prescription adjustment. Prospective validation in diverse populations is warranted to confirm generalizability.
SN  - 2673-253X
ER  -