This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holder.

Search for Publication

Year(s) from:  to 
Keywords (separated by spaces):

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


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.

Link to publisher's page
Download in pdf format
  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}