Flow of Blood in Eye Vessels with Allowance for Aggregation

A nonlinear mathematical model of blood flow in a vessel has been constructed where blood is considered as a suspension with aggregating and deformable particles and vessel walls possess elasticity according to the Hooke law. The blood viscosity, which is dependent on the gradient of the rate of shear on the vessel wall, becomes a function of the time in the case of pulsatory motion. The cases of normal blood flow in eye vessels and of that in diabetes mellitus have been considered as examples. It has been shown that in the latter case the contribution of the aggregability of erythrocytes to the value of the viscosity of blood substantially increases.