UDC 612.11
DOI: 10.36871/2618-9976.2021.09.005
Authors
Kozhemyakina E.V.
Master's Student of the Department of Higher Mathematics, Perm National Research Polytechnic University
Nikitin V.N.
Ph.D., Perm National Research Polytechnic University, Department of Computational Mathematics,
Mechanics and Biomechanics
Abstract
Chronic disorders of cerebral circulation occur due to abnormalities of vascular development, as well as due to destructive diseases of the spine. The cause of pathological disorders of cerebral circulation are various injuries, concussions of the brain, but most often – stroke. The causes of cerebral circulation disorders, their consequences, as well as factors contributing to the appearance of such pathologies in humans are considered. The basic concepts of hemodynamics, the flow of blood through the arteries, the main hemodynamic characteristics are studied; the formulas necessary for further calculations are given. This paper presents the formulation of the problem of laminar stationary flow of a viscous incompressible fluid in a pipe of elliptical section. The maximum possible pressure difference in the internal carotid artery for the normal functioning of the body in a man and a woman was found.
Keywords
Pathologies in the vascular system
Laminar stationary flow
Navier–Stokes equation
Cerebral arteries
Anatomy of brachiocephalic vessels
