The talk will summarize some issues  that were under study at MAP5 over the past years.

Atherosclerosis is a disease of the arterial wall first characterized by lipid accumulation and by an inflammatory response in the intima. It results in the formation of a plaque that can lead to arterial narrowing. Obstructive lesions become clinically relevant when causing significant local changes that obstruct blood flow.

We will first recall a p.d.e. model that was designed to describe the plaque formation in the intima.  Then, we will concentrate on the permeability of the endothelium to monocytes.

References :

Mathematical and numerical modeling of early atherosclerotic lesions, V. Calvez, J.-G Houot, N. Meunier, A. Raoult, G. Rusnakova, ESAIM Proceedings, 30, 1-14, 2010.

Mathematical modelling of the endothelial wall permeability to leukocytes by ligand interactions, B. Grec, B. Maury, N. Meunier, L. Navoret, work in progress