Mathematics

A deeper understanding of the fluid dynamics in biomedical geometries can be a valuable tool in the study of the human circulatory system and in the improvement of prosthetic devices such as coronary artery bypass grafts (CABG). Clinical studies suggest that bypass grafts tend to fail after some years due to the process of restenosis, whereas computational fluid dynamics can help to assess unfavorable flow conditions near the anastomosis of the CABG, which can be strictly related to the onset of restenosis. Some preliminary ideas of a framework for the simulation of blood flows in three-dimensional patient-specific CABGs will be presented; this framework is based on the combination of several ingredients, ranging from medical imaging, computational reduction techniques for efficient numerical blood flow simulations and shape parametrization techniques.Joint work with Elena Faggiano, Andrea Manzoni, Alfio Quarteroni, Gianluigi Rozza.