Mathematics

Patient-specific cardiovascular models are becoming increasingly popular in clinical settings, as they can model blood flow in patients affected by cardiovascular disease. When building cardiovascular models, a critical step is represented by the choice of appropriate boundary conditions, since they highly affect simulation results. In this talk, we will present an automated approach for the choice of outlet boundary conditions based on the solution of an optimal control problem. The proposed framework is based on the assimilation of in-vivo pressure and flow measurements, so that numerical simulations accurately match patient-specific data. Experiments were conducted on four patient anatomies, showing the validity of optimal control in comparison to other common techniques for boundary conditions estimation.

 

This is a joint work with Piero Triverio (University of Toronto), Laura Jiménez-Juan (Sunnybrook Health Sciences Centre, Toronto), Stefano Grivet-Talocia (Politecnico di Torino), Gianluigi Rozza (SISSA) and Francesco Ballarin (Università Cattolica di Brescia).