Math. Model. Nat. Phenom.
Volume 13, Number 6, 2018
Mathematical Modelling of Physiological Flows
|Number of page(s)||13|
|Published online||10 January 2019|
Numerical simulation of the fractional flow reserve (FFR)
LERMA, Mohammadia Engineering School, Mohamed V University,
2 Université Côte d’Azur, Inria, CNRS, LJAD, UMR 7351, Parc Valrose, 06108 Nice, France.
3 International Laboratory for Computer Sciences and Applied Mathematics LIRIMA.
4 Clinique Maarif - Cardiologie maarif, 20390 Casablanca, Morocco.
5 INRIA Bordeaux Sud Ouest, Carmen Project, France.
* Corresponding author: firstname.lastname@example.org
Accepted: 7 November 2018
The fractional flow reserve (FFR) provides an efficient quantitative assessment of the severity of a coronary lesion. Our aim is to address the problem of computing non-invasive virtual fractional flow reserve (VFFR). In this paper, we present a preliminary study of the main features of flow over a stenosed coronary arterial portion, in order to enumerate the different factors affecting the VFFR. We adopt a non-Newtonian flow model and we assume that the two-dimensional (2D) domain is rigid in a first place. In a second place, we consider a simplified weakly coupled FSI model in order to take into account the infinitesimal displacements of the upper wall. A 2D finite element solver was implemented using Freefem++. We computed the VFFR profiles with respect to different lesion parameters and compared the results given by the rigid wall model to those obtained for the elastic wall one.
Mathematics Subject Classification: 35Q30 / 92C50 / 97M60 / 74F10
Key words: Atherosclerosis / fractional flow reserve / generalized flow model / fluid–structure interaction
© EDP Sciences, 2018
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