Abstract
Starting from a hand-drawn contour plot, this note develops a set of intersecting and contiguous circles whose perimeter, upon extending appropriately to three dimensions, can be seen to be a natural mathematical representation of the Wheatley heart valve.
Issue Section:
Research Papers
Topics:
Valves
References
1.
Wheatley
,
D. J.
, 1999
, “
Presidential Address. Cardiothoracic Surgery in Europe: Politics, Pressures and Practice
,” Eur. J. Cardiothorac. Surg
,.
16
(6
), pp. 593
–601
.10.1016/S1010-7940(99)00328-02.
Wheatley
,
D. J.
, and
McGregor
,
C. G. A.
, 1977
, “
Post Implantation Viability in Canine Allograft Heart Valves
,” Cardiovac. Res.
,
11
(1
), pp. 78
–85
.10.1093/cvr/11.1.783.
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
–437
.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. Cardiothorac. Surg.
,
17
(4
), pp. 440
–448
.10.1016/S1010-7940(00)00381-X5.
Oxenham
,
H.
,
Bloomfield
,
P.
,
Wheatley
,
D. J.
,
Lee
,
R. J.
,
Cunningham
,
J.
,
Prescott
,
R. J.
, and
Miller
,
H. C.
, 2003
, “
Twenty Year Comparison of Bjork-Shiley Mechanical Heart Valve With Porcine Prostheses
,” Heart
,
89
(7
), pp. 715
–721
.10.1136/heart.89.7.7156.
Zilla
,
P.
,
Brink
,
J.
,
Human
,
P.
, and
Bezuidenhout
,
D.
, 2008
, “
Prosthetic Heart Valves: Catering for the Few
,” Biomaterials
,
29
(4
), pp. 385
–406
.10.1016/j.biomaterials.2007.09.0337.
Howell
,
E. J.
, and
Butcher
,
J. T.
, 2012
, “
Valvular Heart Diseases in the Developing World: Developmental Biology Takes Center Stage
,” J. Heart Valve Dis.
,
21
(2
), pp. 234
–240
.https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3694273/8.
Georgiadis
,
D.
,
Kaps
,
M.
,
Berg
,
J.
,
MacKay
,
T. G.
,
Dapper
,
F.
,
Faichney
,
A.
,
Wheatley
,
D. J.
, and
Lees
,
K. R.
, 1996
, “
Transcranial Doppler Detection of Microemboli in Prosthetic Heart Valve Patients: Dependency Upon Valve Type
,” Eur. J. Cardiothorac. Surg.
,
10
(4
), pp. 253
–258
.10.1016/S1010-7940(96)80148-59.
Wheatley
,
D. J.
,
Bernacca
,
G. M.
,
Tolland
,
M. M.
,
O'connor
,
B.
,
Fisher
,
J.
, and
Williams
,
D. F.
, 2001
, “
Hydrodynamic Function of a Biostable Polyurethane Flexible Heart Valve After 6 Months in Sheep
,” Int. J. Artif. Organs
,
24
(2
), pp. 95
–101
.10.1177/03913988010240020710.
Wheatley
,
D. J.
, 2016
, “Heart Valve,” US Patent No. 9,259,313.11.
Wheatley
,
D. J.
, 2017
, “Heart Valve,” UK Patent No. 2,982,340.12.
Wheatley
,
D. J.
, 2017
, “Heart Valve,” European Patent No. 2,979,666.13.
Ghanbari
,
H.
,
Viatge
,
H.
,
Kidane
,
A. G.
,
Burriesci
,
G.
,
Tavakoli
,
M.
, and
Seifalian
,
A. M.
, 2009
, “
Polymeric Heart Valves: New Materials, Emerging Hopes
,” Trends Biotechnol.
,
27
(6
), pp. 359
–367
.10.1016/j.tibtech.2009.03.00214.
Jarral
,
O. A.
,
Tan
,
M. K. H.
,
Salmasi
,
M. Y.
,
Pirola
,
S.
,
Pepper
,
J. R.
,
O'Regan
,
D. P.
,
Xu
,
X. Y.
, and
Athanasiou
,
T.
, 2020
, “
Phase-Contrast Magnetic Resonance Imaging and Computational Fluid Dynamics Assessment of Thoracic Aorta Blood Flow: A Literature Review
,” Eur. J. Cardiothorac. Surg.
,
57
(3
), pp. 438
–446
.10.1093/ejcts/ezz280Copyright © 2021 by ASME
You do not currently have access to this content.