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in vivo'' measures are troublesome to obtain. Moreover, allowing completely controlled simulations, CFD can eventually provide a useful paradigm for clinical practice, for instance suggesting optimal strategy for a surgeric operation. par However, the study of biological systems is a difficult task not only from the numerical viewpoint, but also in the modeling phase. Indeed, different systems interact each other at mechanical or biochemical level. Therefore, making a hierarchy of simplifications in the models considered is almost always mandatory. These notes illustrate some specific features of the blood flow problem, in the case of
large'' vessels, where the atherosclerotic plaques are localized. In particular, the interaction between blood and compliant vessel walls is of upmost interest. The purpose is to review shortly the existing literature on the field (limitedly to the most genuine mathematical aspects) and mention a first contribution from our side to the modeling of blood-wall interaction and its numerical simulation.