Regularization of a Mathematical Model of the Wheatley Heart Valve

Rebolledo, R. J.; McKee, S.; Cuminato, J. A.; Stewart, I. W.; Wheatley, D. J.

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)].

Más información

Título según WOS: Regularization of a Mathematical Model of the Wheatley Heart Valve
Título de la Revista: JOURNAL OF BIOMECHANICAL ENGINEERING-TRANSACTIONS OF THE ASME
Volumen: 145
Número: 1
Editorial: ASME
Fecha de publicación: 2023
DOI:

10.1115/1.4055034

Notas: ISI