Mathematical modelling of the atherosclerotic plaque formation

Vincent Calvez 1, 2 Mohammed Abderrahman Ebde 3 Nicolas Meunier 4 Annie Raoult 4
2 NUMED - Numerical Medicine
UMPA-ENSL - Unité de Mathématiques Pures et Appliquées, Inria Grenoble - Rhône-Alpes, ICJ - Institut Camille Jordan [Villeurbanne]
Abstract : This article is devoted to the construction of a mathematical model describing the early formation of atherosclerotic lesions. Following the work of El Khatib, Genieys and Volpert, we model atherosclerosis as an inflammatory disease. We consider that the inflammatory process starts with the penetration of Low Density Lipoproteins cholesterol in the intima. This phenomenon is related to the local blood flow dynamics. Using a system of reaction-diffusion equations, we first provide a one-dimensional model of lesion growth. Then we perform numerical simulations on a two-dimensional geometry mimicking the carotid artery. We couple the previous mathematical model with blood flow and we provide a model in which the lesion appears in the area of lower shear stress.
Type de document :
Article dans une revue
ESAIM: Proceedings, EDP Sciences, 2009, 28, pp.1-12
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Soumis le : lundi 4 octobre 2010 - 17:04:13
Dernière modification le : mercredi 12 octobre 2016 - 01:17:06
Document(s) archivé(s) le : jeudi 25 octobre 2012 - 16:25:54


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  • HAL Id : hal-00523290, version 1


Vincent Calvez, Mohammed Abderrahman Ebde, Nicolas Meunier, Annie Raoult. Mathematical modelling of the atherosclerotic plaque formation. ESAIM: Proceedings, EDP Sciences, 2009, 28, pp.1-12. <hal-00523290>



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