TY - JOUR

T1 - Energy Approach to the Solution of the Hydroelastic Problem of the Growth of a Diverticulum of a Fusiform Aneurysm

AU - Mamatyukov, M. Yu

AU - Khe, A. K.

AU - Parshin, D. V.

AU - Chupakhin, A. P.

N1 - Funding Information: This work was supported by the Government of the Russian Federation (Grant No. 14.W03.31.0002). Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/9

Y1 - 2020/9

N2 - This paper considers an energy approach to assessing the state of a cerebral aneurysm as a hydroelastic system consisting of an elastic vessel wall and incoming blood flow. Assuming that the elastic energy of a vessel with an aneurysm, combined with the bending and kinetic energies, is spent only in viscous flow dissipation in the structure, we performed a series of numerical calculations for fusiform aneurysm configuration models with and without a diverticulum of different sizes relative to the size of the aneurysm body. It is shown that pressure–velocity diagrams are in good agreement with clinical data. It is shown by numerical simulation that a small diverticulum has a significant effect on hemodynamics inside the aneurysm body, and at a large diverticulum size, the vortex induced inside the diverticulum is almost completely localized in it.

AB - This paper considers an energy approach to assessing the state of a cerebral aneurysm as a hydroelastic system consisting of an elastic vessel wall and incoming blood flow. Assuming that the elastic energy of a vessel with an aneurysm, combined with the bending and kinetic energies, is spent only in viscous flow dissipation in the structure, we performed a series of numerical calculations for fusiform aneurysm configuration models with and without a diverticulum of different sizes relative to the size of the aneurysm body. It is shown that pressure–velocity diagrams are in good agreement with clinical data. It is shown by numerical simulation that a small diverticulum has a significant effect on hemodynamics inside the aneurysm body, and at a large diverticulum size, the vortex induced inside the diverticulum is almost completely localized in it.

KW - cerebral aneurysm

KW - diverticulum

KW - hemodynamics

KW - hydroelasticity

KW - Willmore energy

KW - SHAPE

KW - INTRACRANIAL ANEURYSMS

KW - BLOOD-FLOW

UR - http://www.scopus.com/inward/record.url?scp=85097090478&partnerID=8YFLogxK

U2 - 10.1134/S0021894420050223

DO - 10.1134/S0021894420050223

M3 - Article

AN - SCOPUS:85097090478

VL - 61

SP - 866

EP - 877

JO - Journal of Applied Mechanics and Technical Physics

JF - Journal of Applied Mechanics and Technical Physics

SN - 0021-8944

IS - 5

ER -