On the mathematical and computational modeling of blood flow in the brain and in the eye: challenges and opportunities
vendredi 12 janvier 2018, 11h00 - 12h00
Despite the significant progresses in blood flow simulations in the recent years, the accurate description of the complex multi-physics, multi-scale phenomena
characterizing blood flow in realistic geometries still remains a very challenging task. Moreover, a lot of research efforts still need to be devoted to translating
these modeling and computational methods into clinical resources to be used for individualized approaches in medicine and biology.
The aim of the first part of the lecture is to present our advances in developing a mathematical and open-source computational framework for hemodynamic simulations.
We will illustrate the capabilities of this framework by applying it to the development of a three-dimensional model for blood flow in the cerebral venous network. In the second
part of the talk we will describe our recent efforts towards understanding the connections between the eye and the brain by means of reduced and multi-scale fluid models.
From the clinical viewpoint, we will provide examples on how simulations showed interesting features when applied to microgravity conditions and for therapeutic strategies in
glaucoma management. Finally, motivated by applications to blood flow modeling through the cardiovascular system from this multi-scale perspective, we will present a novel
splitting algorithm for the numerical solution of coupled systems of partial and ordinary differential equations for fluid flows.