ENERGY APPROACHTO THE SOLUTION OF THE HYDROELASTIC PROBLEM OF DIVERTICULUM GROWTH ON FUSIFORM ANEURYSM

This paper considers an energy approach to assessing the state of a cerebral aneurysm as a hydroelastic system consisting of an elastic vessel wall and incoming blood flow. Assuming that the elastic energy of a vessel with an aneurysm, combined with the bending and kinetic energies, is spent only in viscous flow dissipation in the structure, we performed a series of numerical calculations for fusiform aneurysm configuration models with and without a diverticulum of different sizes relative to the size of the aneurysm body. It is shown that pressure–velocity diagrams are in good agreement with clinical data. It is shown by numerical simulation that a small diverticulum has a significant effect on hemodynamics inside the aneurysm body, and at a large diverticulum size, the vortex induced inside the diverticulum is almost completely localized in it.