A Hemodynamics Minimal Model for the Cerebral Circulation of Willis Based on Graph Theory

Abstract

Based on system's viewpoint, the cerebral circulation of Willis is fluid network system that is composed of four entrances and three communicating arteries. Using lumped parameter approximations of incompressible Navier-Stokes equations and the graph theory of the circuit network, a nonlinear minimal model is established for fluid network systems. This model provides the basis for the entire cerebral circulation network's parameter computation and survey, also provides treatment reference for branch blood flow and pressure control.