Predicting cardiac frequencies in mammals

Abstract We develop a fluid mechanical model of the arterial tree in order to address the key question of what determines heart rate in mammals. We propose that the frequency of the pulsatile pressure gradient, which minimizes resistance to flow and facilitates fluid movement, coincides with the phy...

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Main Authors: Rui D. M. Travasso, Clint A. Penick, Robert R. Dunn, E. Corvera Poiré
Format: Article
Language:English
Published: Nature Portfolio 2025-02-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-025-90928-x
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author Rui D. M. Travasso
Clint A. Penick
Robert R. Dunn
E. Corvera Poiré
author_facet Rui D. M. Travasso
Clint A. Penick
Robert R. Dunn
E. Corvera Poiré
author_sort Rui D. M. Travasso
collection DOAJ
description Abstract We develop a fluid mechanical model of the arterial tree in order to address the key question of what determines heart rate in mammals. We propose that the frequency of the pulsatile pressure gradient, which minimizes resistance to flow and facilitates fluid movement, coincides with the physiological heart rate. Using data from the literature on heart rate in 95 mammals as a function of body mass, and the radius of the aorta as a function of body mass, we construct a target curve of cardiac frequency versus aortic radius. This curve serves as a benchmark for comparison with our model’s results. Our elastic one-dimensional model for pulsatile arterial flow, combined with experimental rheological data for human blood, enables us to calculate the frequency that minimizes flow resistance, which we express as a function of a characteristic vascular scale, in this case, the aorta radius. We find a reasonable agreement with the target curve, confirming a scaling law with the observed exponent for mammals ranging in size from ferrets to elephants. Our model provides a plausible explanation for the resting heart rate frequency in healthy mammals.
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spelling doaj-art-ea8b3c2bfe7f4ee9baf562dc2f856de32025-08-20T02:01:35ZengNature PortfolioScientific Reports2045-23222025-02-0115111210.1038/s41598-025-90928-xPredicting cardiac frequencies in mammalsRui D. M. Travasso0Clint A. Penick1Robert R. Dunn2E. Corvera Poiré3CFisUC, Department of Physics, University of CoimbraDepartment of Entomology and Plant Pathology, Auburn UniversityNC State UniversityDepartamento de Física y Química Teórica, Facultad de Química, Universidad Nacional Autónoma de MéxicoAbstract We develop a fluid mechanical model of the arterial tree in order to address the key question of what determines heart rate in mammals. We propose that the frequency of the pulsatile pressure gradient, which minimizes resistance to flow and facilitates fluid movement, coincides with the physiological heart rate. Using data from the literature on heart rate in 95 mammals as a function of body mass, and the radius of the aorta as a function of body mass, we construct a target curve of cardiac frequency versus aortic radius. This curve serves as a benchmark for comparison with our model’s results. Our elastic one-dimensional model for pulsatile arterial flow, combined with experimental rheological data for human blood, enables us to calculate the frequency that minimizes flow resistance, which we express as a function of a characteristic vascular scale, in this case, the aorta radius. We find a reasonable agreement with the target curve, confirming a scaling law with the observed exponent for mammals ranging in size from ferrets to elephants. Our model provides a plausible explanation for the resting heart rate frequency in healthy mammals.https://doi.org/10.1038/s41598-025-90928-x
spellingShingle Rui D. M. Travasso
Clint A. Penick
Robert R. Dunn
E. Corvera Poiré
Predicting cardiac frequencies in mammals
Scientific Reports
title Predicting cardiac frequencies in mammals
title_full Predicting cardiac frequencies in mammals
title_fullStr Predicting cardiac frequencies in mammals
title_full_unstemmed Predicting cardiac frequencies in mammals
title_short Predicting cardiac frequencies in mammals
title_sort predicting cardiac frequencies in mammals
url https://doi.org/10.1038/s41598-025-90928-x
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AT clintapenick predictingcardiacfrequenciesinmammals
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