Computer aided clinical trials: challenges of translational mathematics in cardiovascular diseases

Abstract. As computational modeling progressively enters the clinical routine of cardiovascular routine, new challenges emerge in translating advanced numerical methods into daily simulation practices. In this talk, I will report the experience of the Emory Campus, where a team of mathematicians actively work in the hospital with a Core Lab composed by biomedical engineers and cardiologists. Specifically, I will focus on

1) new methods for the stabilization of the numerical instabilities triggered by geometrical features (like plaques in an artery);

2) defective problems (i.e. problems where the boundary data are partially or totally missing) and their numerical treatment;

3) new methods for the uncertainty quantification along the vascular network.

These concepts will be specifically applied to aortic diseases like Aortic Dissections. Perspectives of actual computational modeling in the clinical practice will be discussed.