Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction

Abstract Background The Pooled Cohort Equations (PCEs) are race- and sex-specific Cox proportional hazards (PH)-based models used for 10-year atherosclerotic cardiovascular disease (ASCVD) risk prediction with acceptable discrimination. In recent years, neural network models have gained increasing p...

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Main Authors: Yu Deng, Lei Liu, Hongmei Jiang, Yifan Peng, Yishu Wei, Zhiyang Zhou, Yizhen Zhong, Yun Zhao, Xiaoyun Yang, Jingzhi Yu, Zhiyong Lu, Abel Kho, Hongyan Ning, Norrina B. Allen, John T. Wilkins, Kiang Liu, Donald M. Lloyd-Jones, Lihui Zhao
Format: Article
Language:English
Published: BMC 2023-01-01
Series:BMC Medical Research Methodology
Subjects:
Online Access:https://doi.org/10.1186/s12874-022-01829-w
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author Yu Deng
Lei Liu
Hongmei Jiang
Yifan Peng
Yishu Wei
Zhiyang Zhou
Yizhen Zhong
Yun Zhao
Xiaoyun Yang
Jingzhi Yu
Zhiyong Lu
Abel Kho
Hongyan Ning
Norrina B. Allen
John T. Wilkins
Kiang Liu
Donald M. Lloyd-Jones
Lihui Zhao
author_facet Yu Deng
Lei Liu
Hongmei Jiang
Yifan Peng
Yishu Wei
Zhiyang Zhou
Yizhen Zhong
Yun Zhao
Xiaoyun Yang
Jingzhi Yu
Zhiyong Lu
Abel Kho
Hongyan Ning
Norrina B. Allen
John T. Wilkins
Kiang Liu
Donald M. Lloyd-Jones
Lihui Zhao
author_sort Yu Deng
collection DOAJ
description Abstract Background The Pooled Cohort Equations (PCEs) are race- and sex-specific Cox proportional hazards (PH)-based models used for 10-year atherosclerotic cardiovascular disease (ASCVD) risk prediction with acceptable discrimination. In recent years, neural network models have gained increasing popularity with their success in image recognition and text classification. Various survival neural network models have been proposed by combining survival analysis and neural network architecture to take advantage of the strengths from both. However, the performance of these survival neural network models compared to each other and to PCEs in ASCVD prediction is unknown. Methods In this study, we used 6 cohorts from the Lifetime Risk Pooling Project (with 5 cohorts as training/internal validation and one cohort as external validation) and compared the performance of the PCEs in 10-year ASCVD risk prediction with an all two-way interactions Cox PH model (Cox PH-TWI) and three state-of-the-art neural network survival models including Nnet-survival, Deepsurv, and Cox-nnet. For all the models, we used the same 7 covariates as used in the PCEs. We fitted each of the aforementioned models in white females, white males, black females, and black males, respectively. We evaluated models’ internal and external discrimination power and calibration. Results The training/internal validation sample comprised 23216 individuals. The average age at baseline was 57.8 years old (SD = 9.6); 16% developed ASCVD during average follow-up of 10.50 (SD = 3.02) years. Based on 10 × 10 cross-validation, the method that had the highest C-statistics was Deepsurv (0.7371) for white males, Deepsurv and Cox PH-TWI (0.7972) for white females, PCE (0.6981) for black males, and Deepsurv (0.7886) for black females. In the external validation dataset, Deepsurv (0.7032), Cox-nnet (0.7282), PCE (0.6811), and Deepsurv (0.7316) had the highest C-statistics for white male, white female, black male, and black female population, respectively. Calibration plots showed that in 10 × 10 validation, all models had good calibration in all race and sex groups. In external validation, all models overestimated the risk for 10-year ASCVD. Conclusions We demonstrated the use of the state-of-the-art neural network survival models in ASCVD risk prediction. Neural network survival models had similar if not superior discrimination and calibration compared to PCEs.
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spelling doaj.art-f3f66d3a1b9246efbc9fde732aaf21ce2023-01-29T12:15:43ZengBMCBMC Medical Research Methodology1471-22882023-01-0123111110.1186/s12874-022-01829-wComparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk PredictionYu Deng0Lei Liu1Hongmei Jiang2Yifan Peng3Yishu Wei4Zhiyang Zhou5Yizhen Zhong6Yun Zhao7Xiaoyun Yang8Jingzhi Yu9Zhiyong Lu10Abel Kho11Hongyan Ning12Norrina B. Allen13John T. Wilkins14Kiang Liu15Donald M. Lloyd-Jones16Lihui Zhao17Center for Health Information Partnerships, Northwestern University Feinberg School of MedicineDivision of Biostatistics, Washington University in St. LouisDepartment of Statistics and Data Science, Northwestern UniversityDepartment of Population Health Sciences, Weill Cornell MedicineDepartment of Statistics and Data Science, Northwestern UniversityDepartment of Statistics, University of ManitobaCenter for Health Information Partnerships, Northwestern University Feinberg School of MedicineDepartment of Computer Science, University of CaliforniaDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineNational Center for Biotechnology Information, National Library of Medicine, National Institute of HealthCenter for Health Information Partnerships, Northwestern University Feinberg School of MedicineDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineDepartment of Preventive Medicine, Northwestern University Feinberg School of MedicineCenter for Health Information Partnerships, Northwestern University Feinberg School of MedicineAbstract Background The Pooled Cohort Equations (PCEs) are race- and sex-specific Cox proportional hazards (PH)-based models used for 10-year atherosclerotic cardiovascular disease (ASCVD) risk prediction with acceptable discrimination. In recent years, neural network models have gained increasing popularity with their success in image recognition and text classification. Various survival neural network models have been proposed by combining survival analysis and neural network architecture to take advantage of the strengths from both. However, the performance of these survival neural network models compared to each other and to PCEs in ASCVD prediction is unknown. Methods In this study, we used 6 cohorts from the Lifetime Risk Pooling Project (with 5 cohorts as training/internal validation and one cohort as external validation) and compared the performance of the PCEs in 10-year ASCVD risk prediction with an all two-way interactions Cox PH model (Cox PH-TWI) and three state-of-the-art neural network survival models including Nnet-survival, Deepsurv, and Cox-nnet. For all the models, we used the same 7 covariates as used in the PCEs. We fitted each of the aforementioned models in white females, white males, black females, and black males, respectively. We evaluated models’ internal and external discrimination power and calibration. Results The training/internal validation sample comprised 23216 individuals. The average age at baseline was 57.8 years old (SD = 9.6); 16% developed ASCVD during average follow-up of 10.50 (SD = 3.02) years. Based on 10 × 10 cross-validation, the method that had the highest C-statistics was Deepsurv (0.7371) for white males, Deepsurv and Cox PH-TWI (0.7972) for white females, PCE (0.6981) for black males, and Deepsurv (0.7886) for black females. In the external validation dataset, Deepsurv (0.7032), Cox-nnet (0.7282), PCE (0.6811), and Deepsurv (0.7316) had the highest C-statistics for white male, white female, black male, and black female population, respectively. Calibration plots showed that in 10 × 10 validation, all models had good calibration in all race and sex groups. In external validation, all models overestimated the risk for 10-year ASCVD. Conclusions We demonstrated the use of the state-of-the-art neural network survival models in ASCVD risk prediction. Neural network survival models had similar if not superior discrimination and calibration compared to PCEs.https://doi.org/10.1186/s12874-022-01829-wArtificial intelligenceCardiovascular diseaseCox regressionDeep learningMachine learningNeural network
spellingShingle Yu Deng
Lei Liu
Hongmei Jiang
Yifan Peng
Yishu Wei
Zhiyang Zhou
Yizhen Zhong
Yun Zhao
Xiaoyun Yang
Jingzhi Yu
Zhiyong Lu
Abel Kho
Hongyan Ning
Norrina B. Allen
John T. Wilkins
Kiang Liu
Donald M. Lloyd-Jones
Lihui Zhao
Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction
BMC Medical Research Methodology
Artificial intelligence
Cardiovascular disease
Cox regression
Deep learning
Machine learning
Neural network
title Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction
title_full Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction
title_fullStr Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction
title_full_unstemmed Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction
title_short Comparison of State-of-the-Art Neural Network Survival Models with the Pooled Cohort Equations for Cardiovascular Disease Risk Prediction
title_sort comparison of state of the art neural network survival models with the pooled cohort equations for cardiovascular disease risk prediction
topic Artificial intelligence
Cardiovascular disease
Cox regression
Deep learning
Machine learning
Neural network
url https://doi.org/10.1186/s12874-022-01829-w
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