Regularization of a Mathematical Model of the Wheatley Heart Valve-Reference-Cited by-同舟云学术

Regularization of a Mathematical Model of the Wheatley Heart Valve

Published:2022-08-19 Issue:1 Volume:145 Page:
ISSN:0148-0731
Container-title:Journal of Biomechanical Engineering
language:en
Short-container-title:

Author:

Rebolledo R. J.¹²,McKee S.³,Cuminato J. A.⁴,Stewart I. W.⁵,Wheatley D. J.⁶

Affiliation:

1. ICMC, University of São Paulo at São Carlos , São Carlos-SP, Brazil ; , Chillán, Chile

2. Faculty of Agricultural Engineering, University of Concepción , São Carlos-SP, Brazil ; , Chillán, Chile

3. Department of Mathematics and Statistics, University of Strathclyde , Glasgow G1 1XH, UK

4. ICMC, University of São Paulo at São Carlos , São Carlos-SP, Brazil

5. Faculty of Science, University of Strathclyde , Glasgow G1 1XH, UK

6. School of Science and Engineering, University of Dundee , Dundee DD1 4HN, UK

Abstract

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)].

Publisher

ASME International

Subject

Physiology (medical),Biomedical Engineering

Link

https://asmedigitalcollection.asme.org/biomechanical/article-pdf/145/1/014501/6911031/bio_145_01_014501.pdf

Reference5 articles.

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4. Polyurethane: Material for the Next Generation of Heart Valve Prostheses?;Eur. J. Cardio-Thoracic Surg.,2000

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