Regularization of a Mathematical Model of the Wheatley Heart Valve

Ramiro J. Rebolledo, Sean McKee, José Alberto Cuminato, Iain W. Stewart, David Wheatley

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1 Citation (Scopus)
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Abstract

This note considers the mathematical model published in the Journal of Biomechanical Engineering by McKee et al. [McKee, S., Cuminato, J. A., Stewart, I. W., and Wheatley, D. J., 2021, "A Mathematical Representation of the Wheatley Heart Valve," ASME J. Biomech. Eng., 143(8), p. 081006]. The model presented there suffers from the fact that there is a line discontinuity in the first derivative producing what appears to be a kink in each of the leaflets. This note is concerned with regularizing the shape of the valve while holding to Wheatley's essential idea [Wheatley, D. J., 2016, "Heart Valve," U.S. Patent No. 9,259,313, UK Patent No. 2,982,340 (2017), European Patent No. 2,979,666 (2017)].

Original languageEnglish
Article numberBIO-21-1427
Number of pages3
JournalJournal of Biomechanical Engineering
Volume145
Issue number1
Early online date22 Jul 2022
DOIs
Publication statusPublished - 1 Jan 2023

Keywords

  • Valves
  • Biomechanical engineering
  • Shapes

ASJC Scopus subject areas

  • Physiology (medical)
  • Biomedical Engineering

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