A BLOOD-VESSEL MODEL-BASED ON VELOCITY PROFILES

A simple model of pressure-flow relationship in blood vessels was deve loped. The calculation of the model components was based on velocity p rofiles in the vessels. The flat velocity profile in the entrance of t he vessel was considered. By using mean pressure over the cross-sectio n and assuming a polynomial approximation of the velocity profile, it is shown that the resistance of a vessel segment increases with increa sed flatness of the velocity profile. Moreover, the analysis provides a means to calculate the resistance of a vessel segment based on the s hape of the velocity profiles in that segment. The analysis shows that the inertance element of the segment is not affected by the shape of the velocity profile.