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心血管疾病低风险和高风险成年人最大心率预测方程的评估

Assessment of Maximum Heart Rate Prediction Equations in Adults at Low and High Risk of Cardiovascular Disease.

作者信息

Boulay Pierre, Ghachem Ahmed, Poirier Paul, Sigal Ronald J, Kenny Glen P

机构信息

Faculty of Physical Activity Sciences, University of Sherbrooke, Sherbrooke, Québec, CANADA.

Faculty of Pharmacy, Institut universitaire de Cardiologie et de Pneumologie de Québec, Laval University, Québec, Québec, CANADA.

出版信息

Med Sci Sports Exerc. 2025 Jan 1;57(1):60-69. doi: 10.1249/MSS.0000000000003540. Epub 2024 Aug 20.

Abstract

PURPOSE

Maximum heart rate (HRmax) is commonly used to estimate exercise intensity. Since direct measurement of HRmax is not always practical, prediction equations were developed. However, most equations have not been properly validated in adults at low and high risk of cardiovascular disease (CVD). We sought to: 1) assess the accuracy of commonly used equations to predict HRmax among adults at low and high CVD risk and, 2) determine if SuperLearner (SL) modeling combining base machine algorithms could improve HRmax prediction.

METHODS

A total of 1208 participants (61.6 ± 7.3 yr; 62.7% male) were included. HRmax was measured during a maximal cardiorespiratory exercise test. Predicted HRmax was estimated using the following published equations: Fox, Åstrand, Tanaka, Gelish and Gulati, and a SL model. Bland-Altman analyses as well as performance indicators such as root mean squared error (RMSE) and Lin's Concordance Correlation Coefficient were performed.

RESULTS

All predicted HRmax-derived equations were positively associated with measured HRmax (women: r = 0.31; men: r = 0.46, P ≤ 0.001) but to a greater extent using a SL model (women: r = 0.47; men: r = 0.59, P ≤ 0.001). Overall, all equations tended to overestimate measured HRmax, with a RMSE which varied between 10.4 and 12.3 bpm. Although the SL model outperformed other equations, with no significant difference between measured and predicted HRmax, RMSE remained high (11.3 bpm). Lack of accuracy was mainly observed among adults with low aerobic fitness and with CVD risk factors, such as obesity, diabetes, and hypertension.

CONCLUSIONS

We showed that commonly used equations and the SL model have insufficient accuracy to predict HRmax among adults. The performance of the prediction equations varied considerably according to the population clinical characteristics such as the presence of CVD risk factors or a low aerobic fitness.

摘要

目的

最大心率(HRmax)常用于估计运动强度。由于直接测量HRmax并不总是可行的,因此开发了预测方程。然而,大多数方程尚未在心血管疾病(CVD)低风险和高风险的成年人中得到充分验证。我们旨在:1)评估常用方程在CVD低风险和高风险成年人中预测HRmax的准确性,以及2)确定结合基础机器学习算法的超学习者(SL)建模是否可以改善HRmax预测。

方法

共纳入1208名参与者(61.6±7.3岁;62.7%为男性)。在最大心肺运动试验期间测量HRmax。使用以下已发表的方程估计预测的HRmax:Fox、阿斯兰德、田中、盖利什和古拉蒂方程,以及一个SL模型。进行了布兰德-奥特曼分析以及诸如均方根误差(RMSE)和林氏一致性相关系数等性能指标分析。

结果

所有基于预测HRmax得出的方程均与测量的HRmax呈正相关(女性:r = 0.31;男性:r = 0.46,P≤0.001),但使用SL模型时相关性更强(女性:r = 0.47;男性:r = 0.59,P≤0.001)。总体而言,所有方程都倾向于高估测量的HRmax,RMSE在10.4至12.3次/分钟之间变化。虽然SL模型的表现优于其他方程,测量的HRmax与预测的HRmax之间无显著差异,但RMSE仍然较高(11.3次/分钟)。在有氧适能较低以及患有CVD风险因素(如肥胖、糖尿病和高血压)的成年人中,主要观察到预测缺乏准确性。

结论

我们表明,常用方程和SL模型在预测成年人的HRmax方面准确性不足。预测方程的性能根据人群的临床特征(如是否存在CVD风险因素或有氧适能较低)有很大差异。

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