Personalized mathematical modeling of cerebral arterial aneurysms
Abstract
The mathematical and computational framework for personalized modeling of the cerebral hemodynamics in the presence of arterial aneurysms has been described. As an example we study nonlocal hydrodynamic properties of cerebral arterial aneurysms. The area of the vessel aneurysm influence on the surrounding blood flow and the changes caused by pressure increase and decrease have been determined using numerical simulations, as well as the flow features in the case of multiple aneurysms presence have been investigated. The personalized clinical data obtained during intraoperative endovascular measurements have been used for computations.
Key words
ReferencesKhe A.K. – candidate of physical mathematical sciences, senior researcher of laboratory for differential equation, e-mail: alekhe@hydro.nsc.ru
Chupakhin A.P. – doctor of physical mathematical sciences, head of laboratory for differential equation
Cherevko A.A. – candidate of physical mathematical sciences, senior researcher of laboratory for differential equation
Parshin D.V. – candidate of physical mathematical sciences, junior researcher of laboratory for differential equation, e-mail: danilo.skiman@gmail.com
Krivoshapkin A.L. – corresponding member of RAS, chief researcher, neurosurgeon
Orlov K.Yu. – candidate of medical sciences, neurosurgeon, head of the center for angioneurology and neurosurgery