Key result
Regularization of the mathematical model of the Wheatley Heart Valve was performed to remove a line discontinuity in the first derivative that produced a kink in the leaflets.
Why the study?
A previous mathematical model of the Wheatley heart valve suffered from a line discontinuity in the first derivative producing an apparent kink in each leaflet.
This mathematical note provides a regularized model for the Wheatley Heart Valve, eliminating a non-physiological kink in the leaflet design of the previous model.
Answers are grounded in this paper and cite their sources.
Refined Wheatley valve geometry removes leaflet kinks; leaves open effects on simulated hemodynamics before design adoption.
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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Rebolledo et al. (2022) studied this question. Regularization of mathematical model was evaluated. Regularization of the mathematical model of the Wheatley Heart Valve was performed to remove a line discontinuity in the first derivative that produced a kink in the leaflets.
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