Personalized mathematical modeling of cerebral arterial aneurysms

In this work we describe a mathematical and computational framework for personalized modeling of the cerebral hemodynamics in the presence of arterial aneurysms. As an example we study nonlocal hydrodynamic properties of cerebral arterial aneurysms. Using numerical simulations we determine the area of influence of the aneurysm on the surrounding blood flow, the changes induced by increase and decrease of the pressure, and we study the flow features in the case of multiple aneurysms. For our computations we use personalized clinical data obtained during intraoperative endovascular measurements.