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Estimation of Heart Rate Using Regression Models and Artificial Neural Network in Middle-Aged Adults
Kuan Tao1, Jiahao Li2, Jiajin Li2
1School of Sports Engineering, Beijing Sport University, Beijing, China.
Insights
This study found that multivariate regression and artificial neural networks (ANN) using age, resting heart rate (RHR), and second-order heart rate (SOHR) more accurately predict maximal heart rate than traditional age-based equations.
Area of Science:
- Cardiology
- Biomedical Engineering
- Exercise Physiology
Background:
- Heart rate is a key clinical indicator for cardiovascular assessment.
- Existing maximal heart rate prediction models primarily rely on age, often overlooking other influential factors.
- Accurate maximal heart rate estimation is crucial for personalized exercise prescription and clinical evaluations.
Purpose of the Study:
- To develop and evaluate advanced models for maximal heart rate estimation.
- To investigate the predictive power of multiple physiological and demographic factors beyond age.
- To compare the accuracy of multivariate regression and artificial neural networks (ANN) against traditional age-based methods.
Main Methods:
- A cohort of 121 middle-aged adults (average age 57.2 years) underwent maximal exercise testing on a power bike.
- Physiological data including ambulatory blood pressure, electrocardiography, and gas metabolic analysis were continuously monitored.
- Multivariate regression and artificial neural network (ANN) models were employed, incorporating six participant characteristics for analysis.
Main Results:
- The multivariate regression model achieved an estimation accuracy of 9.74%, while the ANN model reached 9.42%.
- Both advanced models demonstrated superior accuracy compared to the traditional age-based model, which had an accuracy of 10.31%.
- Key predictors identified for enhanced accuracy included age, resting heart rate (RHR), and second-order heart rate (SOHR).
Conclusions:
- Multivariate regression and ANN models offer more precise maximal heart rate estimations than conventional age-only formulas.
- Incorporating resting heart rate and second-order heart rate significantly improves prediction accuracy.
- These findings support the use of comprehensive data-driven approaches for personalized cardiovascular assessments.
Abstract:
Purpose: Heart rate is the most commonly used indicator in clinical medicine to assess the functionality of the cardiovascular system. Most studies have focused on age-based equations to estimate the maximal heart rate, neglecting multiple factors that affect the accuracy of the prediction. Methods: We studied 121 middle-aged adults at an average age of 57.2years with an average body mass index (BMI) of 25.9. The participants performed on a power bike with a starting wattage of 0W that was increased by 25W every 3min until the experiment terminated. Ambulatory blood pressure and electrocardiography were monitored through gas metabolic analyzers for safety concerns. Six descriptive characteristics of participants were observed, which were further analyzed using a multivariate regression model and an artificial neural network (ANN). Results: The input variables for the multivariate regression model and ANN were selected by correlation for the reduction of dimension. The accuracy of estimation by multivariate regression model and ANN was 9.74 and 9.42%, respectively, which outperformed the traditional age-based model (with an accuracy of 10.31%). Conclusion: This study provides comprehensive approaches to estimate the maximal heart rate using multiple indicators, revealing that both the multivariate regression model and ANN incorporated with age, resting heart rate (RHR), and second-order heart rate (SOHR) are more accurate than univariate models.
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