Premium
Numerical modeling of heart valves using resistive Eulerian surfaces
Author(s) -
Laadhari Aymen,
Quarteroni Alfio
Publication year - 2016
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.2743
Subject(s) - pulsatile flow , eulerian path , resistive touchscreen , circulation (fluid dynamics) , mechanics , flow (mathematics) , computational fluid dynamics , computer science , boundary (topology) , heart valve , boundary value problem , computer simulation , blood flow , simulation , mechanical engineering , engineering , mathematics , physics , mathematical analysis , cardiology , medicine , lagrangian , computer vision
Summary The goal of this work is the development and numerical implementation of a mathematical model describing the functioning of heart valves. To couple the pulsatile blood flow with a highly deformable thin structure (the valve's leaflets), a resistive Eulerian surfaces framework is adopted. A lumped‐parameter model helps to couple the movement of the leaflets with the blood dynamics. A reduced circulation model describes the systemic hemodynamics and provides a physiological pressure profile at the downstream boundary of the valve. The resulting model is relatively simple to describe for a healthy valve and pathological heart valve functioning while featuring an affordable computational burden. Efficient time and spatial discretizations are considered and implemented. We address in detail the main features of the proposed method, and we report several numerical experiments for both two‐dimensional and three‐dimensional cases with the aim of illustrating its accuracy. Copyright © 2015 John Wiley & Sons, Ltd.