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Numerical modeling of heart valves using resistive Eulerian surfaces

Aymen Laadhari and Alfio Quarteroni
International Journal for Numerical Methods in Biomedical Engineering
Vol. 32, No. 5, pp. doi: 10.1002/cnm.274, April 2016

Abstract

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. 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.


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@Article{eth_biwi_01241,
  author = {Aymen Laadhari and Alfio Quarteroni},
  title = {Numerical modeling of heart valves using resistive Eulerian surfaces},
  journal = {International Journal for Numerical Methods in Biomedical Engineering},
  year = {2016},
  month = {April},
  pages = {doi: 10.1002/cnm.274},
  volume = {32},
  number = {5},
  keywords = {numerical modeling;heart valves;finite element method;hemodynamics}
}