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

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.