In a previously published mathematical model of blood circulation in the cerebral cortex, it was assumed that the circulatory system of the brain consists of a distribution network of relatively large arteries and a collector network of veins similar in structure [1]. The connection between the networks is carried out through a network of numerous small capillaries, in which arterial blood as a result of metabolic processes with the cellular tissue of the brain turns into venous. A system of equations of viscous fluid motion in a heterogeneous medium consisting of three interpenetrating, but not intersecting, continuums is written out. Intersections are pathology for a healthy human organism. Multiple calculations show that pathologies localized even in small areas of the brain significantly affect the nature of the distribution of blood pressure in the arterial and venous channels. The finite element method is used in the calculations. The network of elements is refined in the subdomains of pathologies in the form of malformation or embolism with a decrease in the conductive properties of a heterogeneous environment. The numerical solution of the planar problem was carried out with parameters close to the real conditions of blood circulation in the human brain.

在先前发表的大脑皮质血液循环数学模型中，假设大脑的循环系统由相对较大的动脉分布网络和结构相似的静脉收集器网络组成[1]。网络之间的连接是通过许多小毛细血管的网络进行的，在这些小毛细血管中，由于与大脑细胞组织的代谢过程而导致的动脉血变成静脉。编写了由三个互穿但不相交的连续体组成的非均质介质中的粘性流体运动方程组。交叉口是健康人体的病理学。多种计算表明，即使位于大脑的小区域，局部病变也会显着影响动静脉通道中血压分布的性质。计算中使用有限元法。元素的网络在畸形的子域中以畸形或栓塞的形式被精炼，同时异质环境的导电特性降低。平面问题的数值解决方案是使用接近人脑血液循环实际条件的参数进行的。