Geodesic
Mathematical and numerical modeling of early atherosclerotic lesions
Vincent Calvez1 ; Jean Gabriel Houot2 ; Nicolas Meunier2 ; Annie Raoult2 ; Gabriela Rusnakova3
1 Unité de mathématiques pures et appliquées ENS Lyon, CNRS UMR 5669 France
2 MAP5, Université Paris Descartes 45 rue des Saints Pères 75270 Paris Cedex 06. France
3 Hamburg University of Technology Institute of Numerical Simulation Schwarzenbergstrasse 95, 210 73 Hamburg, Germany
ESAIM. Proceedings, Tome 30 (2010), pp. 1-14.

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This article is devoted to the construction of a mathematical model describing the early formation of atherosclerotic lesions. The early stage of atherosclerosis is an inflammatory process that starts with the penetration of low density lipoproteins in the intima and with their oxidation. This phenomenon is closely linked to the local blood flow dynamics. Extending a previous work [5] that was mainly restricted to a one-dimensional setting, we couple a simple lesion growth model relying on the biomolecular process that takes place in the intima with blood flow dynamics and mass transfer. We perform numerical simulations on a two-dimensional geometry taken from [6,7] that mimicks a carotid artery deformed by a perivascular cast and we compare the numerical results with experimental data.
DOI : 10.1051/proc/2010002

Vincent Calvez 1 ; Jean Gabriel Houot 2 ; Nicolas Meunier 2 ; Annie Raoult 2 ; Gabriela Rusnakova 3

1 Unité de mathématiques pures et appliquées ENS Lyon, CNRS UMR 5669 France
2 MAP5, Université Paris Descartes 45 rue des Saints Pères 75270 Paris Cedex 06. France
3 Hamburg University of Technology Institute of Numerical Simulation Schwarzenbergstrasse 95, 210 73 Hamburg, Germany 
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     title = {Mathematical and numerical modeling of early atherosclerotic lesions},
     journal = {ESAIM. Proceedings},
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Vincent Calvez; Jean Gabriel Houot; Nicolas Meunier; Annie Raoult; Gabriela Rusnakova. Mathematical and numerical modeling of early atherosclerotic lesions. ESAIM. Proceedings, Tome 30 (2010), pp. 1-14. doi : 10.1051/proc/2010002. http://geodesic.mathdoc.fr/articles/10.1051/proc/2010002/

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