The relationship between flow in the arteries, particularly the wall sheer
stresses, and the sites where atherosclerosis develops has motivated much o
f the research on arterial flow in recent decades. It is now well accepted
that it is sites where shear stresses are low, or change rapidly in time or
space, that are most vulnerable. These conditions are likely to prevail at
places where the vessel is curved; bifurcates; has a junction, a side bran
ch, or other sudden change in flow geometry; and when the flow is unsteady.
These flows, often but not always involving flow separation or secondary m
otions, are also the most difficult ones in fluid mechanics to analyze or c
ompute. In this article we review the modeling studies and experiments on s
teady and unsteady, two-and three-dimensional flows in arteries, and in art
erial geometries most relevant in the context of atherosclerosis. These inc
lude studies of normal vessels--to identify, on the basis of the fluid mech
anics, lesion foci--and stenotic vessels, to model and measure flow in vess
els after the lesions have evolved into plaques sufficiently large to signi
ficantly modify the flow. We also discuss recent work that elucidates many
of the pathways by which mechanical forces, primarily the wall shear stress
es, are transduced to effect changes in the arterial wall at the cellular,
subcellular, and genetic level.