PRIN Mathematical and Numerical Modelling of the Cardiovascular System, and their clinical applications 2015-2016

This project deals with the mathematical and numerical modeling of the cardiovascular system. Though inspired by concrete applications in medicine and bioengineering, it focuses mainly on the methodological aspects. Indeed, despite the impressive advancements of the last 20 years in the development of mathematical models for the cardiovascular system, there is still a strong need of improving these tools to make them more reliable, accurate, efficient and capable of treating the complexity of real life problems of medical relevance. With this project we have the ambition to address clinically relevant problems, by exploiting and strengthening several existing collaborations by the project partners with physicians and medical research institutions. We expect however that the novel mathematical tools, here developed for modeling and simulating electro-mechano-fluidic coupled problems, will have in fact an impact on a broader scientific community, beyond that of physiologists and clinicians. The activity of SISSA will focus on the development of reduced models by using reduced basis methods, POD and shape parametrization techniques for geometric complexity reduction, in order to tackle optimal flow control and shape optimization problems, and related software focusing on a reduced basis software library for the solution of parametrized optimization and control problems in computational fluid dynamics.

Ministero dell'Istruzione, dell'Università e della Ricerca

People involved in SISSA mathLab research unit: Prof. Antonio De Simone, Prof. Gianluigi Rozza, Dr. Luca Heltai, Dr. Francesco Ballarin.

Other research units: Politecnico di Milano, University of Milano and University of Pavia