Elastohydrodynamic Scaling Law for Heart Rates
Name
PhysRevLett.125.058102.pdf
Description
Published version
Size
572.15 KB
Format
Unknown
Checksum (MD5)
999388187a1cff241bff666bf7710c3f
Author(s)
Virot, E
Spandan, V
Niu, L
Van Rees, Willem Marinus
Mahadevan, L
Date Issued
July 2020
Journal
Physical Review Letters
Publisher
American Physical Society (APS)
Citation
Virot, E, Spandan, V, Niu, L, van Rees, WM and Mahadevan, L. 2020. "Elastohydrodynamic Scaling Law for Heart Rates." Physical Review Letters, 125 (5).
Version
Final published version
Abstract
© 2020 American Physical Society. Animal hearts are soft shells that actively pump blood to oxygenate tissues. Here, we propose an allometric scaling law for the heart rate based on the idea of elastohydrodynamic resonance of a fluid-loaded soft active elastic shell that buckles and contracts axially when twisted periodically. We show that this picture is consistent with numerical simulations of soft cylindrical shells that twist-buckle while pumping a viscous fluid, yielding optimum ejection fractions of 35%-40% when driven resonantly. Our scaling law is consistent with experimental measurements of heart rates over 2 orders of magnitude, and provides a mechanistic basis for how metabolism scales with organism size. In addition to providing a physical rationale for the heart rate and metabolism of an organism, our results suggest a simple design principle for soft fluidic pumps.
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1103/PHYSREVLETT.125.058102
