UDC 531.1 / 534.1
DOI: 10.36871/2618-9976.2021.04.002
Authors
Nikitin Vladislav Nikolaevich
Candidate of Physical and Mathematical Sciences, Perm National Research Polytechnic University,
Department of Computational Mathematics, Mechanics and Biomechanics, Perm, Russian Federation
Kozhemyakina Ekaterina Valerevna
Student of the Faculty of Applied Mathematics and Mechanics, Perm National Research Polytechnic University,
Perm, Russian Federation
Abstract
The brain is one of the most important organs responsible for the health and functioning of the entire body. The blood supply to the brain is carried out through XNUMX internal carotid and XNUMX vertebral arteries in norm. The brain, like other body systems, has protective (compensatory) mechanisms aimed at maintaining the necessary blood flow, one of which is the circle of Willis. The article proposes a mechanism for how blood flow is redistributed through the arteries feeding the brain, which is based on the assumption that the central nervous system controls in such a way that it minimizes flows through the connective arteries of the circle of Willis, the flows along which are normal (with symmetry of the left and right sides) practically equal to zero. Сase of the structure of the circle of Willis is considered in norm. The indicated redistribution mechanism is still only the first step towards an attempt to predict cases of changes in blood flow through the cerebral arteries, especially in stroke. In further works, it is planned to consider the inverse problem, i.e. determine the flows through the internal carotid and vertebral arteries, provided that the flows through the cerebral arteries extending from the circle of Willis have normal flow values.
Keywords
Biomechanics
Blood supply
Cerebral
Defense mechanism
Circle of Willis
Stroke
