Hemodynamics of the Posterior Cerebral Artery

Abstract

Willis Circle is a key element during cerebral autoregulation. There are mathematical models which evaluate its global hemodynamics or part of them. The aim of this study is to evaluate flow rates and pressures of the posterior cerebral artery in 1D Willis Circle model with variables geometries. Based on 1D model we varied lengths and diameters of each component artery and developed 3D models. We used lengths and diameters and by using Statistic 7 software, we developed colour-coded graphs. We obtained colour spectrums together with legends. We elaborated flow rates based on lengths and diameters for each component artery of Willis Circle. Variation trend of flow rates for segment P1 of PCA obtained by spine method demonstrated that biggest flow rates were obtained for minimal lengths and maximal diameters. The smallest flow rates were obtained for smallest diameters independent by length.