Abstract: 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.

Cite: Pen’kovskiy V.I. , Korsakova N.K.
Modeling of embolism and malformation phenomena in the brain
Journal of Physics: Conference Series. 2020. V.1666. 012042 :1-6. DOI: 10.1088/1742-6596/1666/1/012042 Scopus РИНЦ OpenAlex

Identifiers:

Scopus:	2-s2.0-85097049260
Elibrary:	45107099
OpenAlex:	W3110392981

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