Regularization of a Mathematical Model of the Wheatley Heart Valve

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

doi:10.1115/1.4055034

Regularization of a Mathematical Model of the Wheatley Heart Valve

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

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

224 Downloads (Pure)

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 language	English
Article number	BIO-21-1427
Number of pages	3
Journal	Journal of Biomechanical Engineering
Volume	145
Issue number	1
Early online date	22 Jul 2022
DOIs	https://doi.org/10.1115/1.4055034
Publication status	Published - 1 Jan 2023

Keywords

Valves
Biomechanical engineering
Shapes

ASJC Scopus subject areas

Physiology (medical)
Biomedical Engineering

Access to Document

10.1115/1.4055034

Author Accepted ManuscriptAccepted author manuscript, 1.65 MB

Cite this

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title = "Regularization of a Mathematical Model of the Wheatley Heart Valve",

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)].",

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doi = "10.1115/1.4055034",

language = "English",

volume = "145",

journal = "Journal of Biomechanical Engineering",

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publisher = "American Society of Mechanical Engineers (ASME)",

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AU - Rebolledo, Ramiro J.

AU - McKee, Sean

AU - Cuminato, José Alberto

AU - Stewart, Iain W.

AU - Wheatley, David

PY - 2023/1/1

Y1 - 2023/1/1

N2 - 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)].

AB - 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)].

KW - Valves

KW - Biomechanical engineering

KW - Shapes

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DO - 10.1115/1.4055034

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M1 - BIO-21-1427

ER -

Regularization of a Mathematical Model of the Wheatley Heart Valve

Abstract

Keywords

ASJC Scopus subject areas

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