Personalized mathematical modeling of cerebral arterial aneurysms
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.