Study of the biomechanics of cerebral arteries and aneurysms using Kirchoff-Love shells and continuum-based models. Our goal is to develop computational tools to assist physicians in the planification of endovascular occlusion.   

Study of the propagation of elastic waves in heterogeneous materials. Our goal is to characterize the ice with the inclusion of micro/nano particles.

Variational analysis.  Stability on semi-infinite or infinite linear programming. These fields are applied in economic or technical problems to maximize (benefits, production, etc) or minimize (costs, waiting times, etc) taking into account additional restrictions. Sometimes in these problems the data are uncertain, and it is often preferred approximate but stable solutions before an exact but unstable solution.

Study of the mechanobiology of cerebral endothelial tissue, given its importance in aneurysm initiation and evolution, as well as other vascular pathologies. Our goal is to develop continuum models of the endothelium for a further integration with multiscale artery models.