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Mathematical modeling and numerical simulation of the Wheatley heart valve

Grant number: 21/11129-0
Support Opportunities:Scholarships in Brazil - Post-Doctoral
Start date: November 01, 2021
End date: June 04, 2023
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Applied Mathematics
Principal Investigator:José Alberto Cuminato
Grantee:Hugo Luiz Oliveira
Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
Associated research grant:13/07375-0 - CeMEAI - Center for Mathematical Sciences Applied to Industry, AP.CEPID

Abstract

This project is a proof-of-concept of a novel aortic valve for the human heart. It involves mathematical modelling spiral and pulsatile blood flow from the left ventricle into and through an artificial heart valve. The valve has three leaflets (or flaps) which open and close in accordance with systole and diastole. These large (elastic) deflections, driven by the pressure gradient of the blood, need to be modelled and numerically simulated in order to ensure that the valve opens and closes rapidly and the shear stress in the blood flow is always above a critical limit to avoid blood clotting. It is intended that the numerical technique to be employed is the immersed boundary method. A comparison with the standard current state-of-the-art valve will be undertaken. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
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VEICULO: TITULO (DATA)
VEICULO: TITULO (DATA)

Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
OLIVEIRA, H. L.; MCKEE, S.; BUSCAGLIA, G. C.; CUMINATO, J. A.; STEWART, I. W.; WHEATLEY, D. J.. A Generalized mathematical representation of the shape of the Wheatley heart valve and the associated static stress fields upon opening and closing. IMA JOURNAL OF APPLIED MATHEMATICS, v. 87, n. 4, p. 31-pg., . (21/11129-0)