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)].

References

1.
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. 081006.10.1115/1.4050753
2.
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).
3.
Chaudhry
,
M. A.
,
Raco
,
L.
,
Muriithi
,
E. W.
,
Bernacca
,
G. M.
,
Tolland
,
M. M.
, and
Wheatley
,
D. J.
,
2000
, “
Porcine Versus Pericardial Bioprostheses: Eleven-Year Follow Up of a Prospective Randomized Trial
,”
J. Heart Valve Dis.
,
9
(
3
), pp.
429
–4
37
.https://pubmed.ncbi.nlm.nih.gov/10888102/
4.
Wheatley
,
D. J.
,
Raco
,
L.
,
Bernacca
,
G. M.
,
Sim
,
I.
,
Belcher
,
P. R.
, and
Boyd
,
J. S.
,
2000
, “
Polyurethane: Material for the Next Generation of Heart Valve Prostheses?
,”
Eur. J. Cardio-Thoracic Surg.
,
17
(
4
), pp.
440
448
.10.1016/S1010-7940(00)00381-X
5.
Otto
,
C. M.
, and
Bonow
,
R. O.
,
2009
,
Valvular Heart Disease: A Companion to Braunwald's Heart Disease E-Book
,
Elsevier Health Sciences, Elsevier Saunders, Amsterdam, The Netherlands
.
You do not currently have access to this content.