Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists

Maximal heart rate (HRmax) is a widely used measure of cardiorespiratory fitness. Prediction of HRmax is an alternative to cardiopulmonary exercise testing (CPET), but its accuracy among endurance athletes (EA) requires evaluation. This study aimed to externally validate HRmax prediction models in t...

Full description

Bibliographic Details
Main Authors: Przemysław Seweryn Kasiak, Szczepan Wiecha, Igor Cieśliński, Tim Takken, Jacek Lach, Marcin Lewandowski, Marcin Barylski, Artur Mamcarz, Daniel Śliż
Format: Article
Language:English
Published: MDPI AG 2023-04-01
Series:Journal of Clinical Medicine
Subjects:
Online Access:https://www.mdpi.com/2077-0383/12/8/2884
_version_ 1797604978447089664
author Przemysław Seweryn Kasiak
Szczepan Wiecha
Igor Cieśliński
Tim Takken
Jacek Lach
Marcin Lewandowski
Marcin Barylski
Artur Mamcarz
Daniel Śliż
author_facet Przemysław Seweryn Kasiak
Szczepan Wiecha
Igor Cieśliński
Tim Takken
Jacek Lach
Marcin Lewandowski
Marcin Barylski
Artur Mamcarz
Daniel Śliż
author_sort Przemysław Seweryn Kasiak
collection DOAJ
description Maximal heart rate (HRmax) is a widely used measure of cardiorespiratory fitness. Prediction of HRmax is an alternative to cardiopulmonary exercise testing (CPET), but its accuracy among endurance athletes (EA) requires evaluation. This study aimed to externally validate HRmax prediction models in the EA independently for running and cycling CPET. A total of 4043 runners (age = 33.6 (8.1) years; 83.5% males; BMI = 23.7 (2.5) kg·m<sup>−2</sup>) and 1026 cyclists (age = 36.9 (9.0) years; 89.7% males; BMI = 24.0 (2.7) kg·m<sup>−2</sup>) underwent maximum CPET. Student <i>t</i>-test, mean absolute percentage error (MAPE), and root mean square error (RMSE) were applied to validate eight running and five cycling HRmax equations externally. HRmax was 184.6 (9.8) beats·min<sup>−1</sup> and 182.7 (10.3) beats·min<sup>−1</sup>, respectively, for running and cycling, <i>p</i> = 0.001. Measured and predicted HRmax differed significantly (<i>p</i> = 0.001) for 9 of 13 (69.2%) models. HRmax was overestimated by eight (61.5%) and underestimated by five (38.5%) formulae. Overestimated HRmax amounted to 4.9 beats·min<sup>−1</sup> and underestimated HRmax was in the range up to 4.9 beats·min<sup>−1</sup>. RMSE was 9.1–10.5. MAPE ranged to 4.7%. Prediction models allow for limited precision of HRmax estimation and present inaccuracies. HRmax was more often underestimated than overestimated. Predicted HRmax can be implemented for EA as a supplemental method, but CPET is the preferable method.
first_indexed 2024-03-11T04:54:32Z
format Article
id doaj.art-e839014bf9a94bbfaa9086f695ef7842
institution Directory Open Access Journal
issn 2077-0383
language English
last_indexed 2024-03-11T04:54:32Z
publishDate 2023-04-01
publisher MDPI AG
record_format Article
series Journal of Clinical Medicine
spelling doaj.art-e839014bf9a94bbfaa9086f695ef78422023-11-17T19:49:46ZengMDPI AGJournal of Clinical Medicine2077-03832023-04-01128288410.3390/jcm12082884Validity of the Maximal Heart Rate Prediction Models among Runners and CyclistsPrzemysław Seweryn Kasiak0Szczepan Wiecha1Igor Cieśliński2Tim Takken3Jacek Lach4Marcin Lewandowski5Marcin Barylski6Artur Mamcarz7Daniel Śliż83rd Department of Internal Medicine and Cardiology, Medical University of Warsaw, 04-749 Warsaw, PolandDepartment of Physical Education and Health, Faculty in Biala Podlaska, Jozef Pilsudski University of Physical Education in Warsaw, 21-500 Biala Podlaska, PolandDepartment of Physical Education and Health, Faculty in Biala Podlaska, Jozef Pilsudski University of Physical Education in Warsaw, 21-500 Biala Podlaska, PolandDepartment of Medical Physiology, Child Development & Exercise Center, Wilhelmina Children’s Hospital, UMC Utrecht, 3584 EA Utrecht, The Netherlands3rd Department of Internal Medicine and Cardiology, Medical University of Warsaw, 04-749 Warsaw, PolandDepartment of Pharmacology and Clinical Pharmacology Collegium Medicum, Cardinal Stefan Wyszyński University in Warsaw, 01-938 Warsaw, PolandDepartment of Internal Medicine and Cardiac Rehabilitation, Medical University of Lodz, 90-549 Łódź, Poland3rd Department of Internal Medicine and Cardiology, Medical University of Warsaw, 04-749 Warsaw, Poland3rd Department of Internal Medicine and Cardiology, Medical University of Warsaw, 04-749 Warsaw, PolandMaximal heart rate (HRmax) is a widely used measure of cardiorespiratory fitness. Prediction of HRmax is an alternative to cardiopulmonary exercise testing (CPET), but its accuracy among endurance athletes (EA) requires evaluation. This study aimed to externally validate HRmax prediction models in the EA independently for running and cycling CPET. A total of 4043 runners (age = 33.6 (8.1) years; 83.5% males; BMI = 23.7 (2.5) kg·m<sup>−2</sup>) and 1026 cyclists (age = 36.9 (9.0) years; 89.7% males; BMI = 24.0 (2.7) kg·m<sup>−2</sup>) underwent maximum CPET. Student <i>t</i>-test, mean absolute percentage error (MAPE), and root mean square error (RMSE) were applied to validate eight running and five cycling HRmax equations externally. HRmax was 184.6 (9.8) beats·min<sup>−1</sup> and 182.7 (10.3) beats·min<sup>−1</sup>, respectively, for running and cycling, <i>p</i> = 0.001. Measured and predicted HRmax differed significantly (<i>p</i> = 0.001) for 9 of 13 (69.2%) models. HRmax was overestimated by eight (61.5%) and underestimated by five (38.5%) formulae. Overestimated HRmax amounted to 4.9 beats·min<sup>−1</sup> and underestimated HRmax was in the range up to 4.9 beats·min<sup>−1</sup>. RMSE was 9.1–10.5. MAPE ranged to 4.7%. Prediction models allow for limited precision of HRmax estimation and present inaccuracies. HRmax was more often underestimated than overestimated. Predicted HRmax can be implemented for EA as a supplemental method, but CPET is the preferable method.https://www.mdpi.com/2077-0383/12/8/2884maximal heart rateendurance athletescardiopulmonary exercise testexercise physiologyprediction modelsendurance performance
spellingShingle Przemysław Seweryn Kasiak
Szczepan Wiecha
Igor Cieśliński
Tim Takken
Jacek Lach
Marcin Lewandowski
Marcin Barylski
Artur Mamcarz
Daniel Śliż
Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists
Journal of Clinical Medicine
maximal heart rate
endurance athletes
cardiopulmonary exercise test
exercise physiology
prediction models
endurance performance
title Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists
title_full Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists
title_fullStr Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists
title_full_unstemmed Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists
title_short Validity of the Maximal Heart Rate Prediction Models among Runners and Cyclists
title_sort validity of the maximal heart rate prediction models among runners and cyclists
topic maximal heart rate
endurance athletes
cardiopulmonary exercise test
exercise physiology
prediction models
endurance performance
url https://www.mdpi.com/2077-0383/12/8/2884
work_keys_str_mv AT przemysławsewerynkasiak validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT szczepanwiecha validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT igorcieslinski validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT timtakken validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT jaceklach validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT marcinlewandowski validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT marcinbarylski validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT arturmamcarz validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists
AT danielsliz validityofthemaximalheartratepredictionmodelsamongrunnersandcyclists