Mathematical Modeling and Numerical Simulation of Cardiac Function
Abstract
Computational medicine serves as a powerful engine for mathematical innovation, posing complex challenges that drive the development of new numerical methods and deepen our understanding of human physiology. At the same time, it offers critical support to clinicians by enabling more accurate diagnoses, tailored therapies, and personalized surgical planning. This lecture will focus on the multiphysics and multiscale complexities inherent in the mathematical model of the cardiac function, including the impact of data uncertainty, patient variability, and the high-dimensional nature of these systems. We will present the iHEART simulator, the first comprehensive model of the human heart that integrates physics-based modeling featuring the combination of electrophysiology, mechanics, and blood flow dynamics with AI data-driven techniques. We demonstrate how this hybrid approach can contribute to both scientific discovery and clinical decision-making.
About the Speaker
Alfio Quarteroni is Professor Emeritus at Politecnico di Milano (Italy) and Professor Emeritus at EPFL, Lausanne (Switzerland); Senior Research Fellow, Oden Institute, University of Texas at Austin; Commander of the Order of Merit (Commendatore) of the Republic of Italy (2024). He is the founder of MOX at Politecnico di Milano (2002) and its first director (2002-2022), the founder (2010) and first director (2010-2015) of MATHICSE at EPFL, the co-founder (and President) of MOXOFF (2010-now).
He has been Director of the Chair of Modelling and Scientific Computing at the EPFL, from 1998 until 2017. Formerly, he has been full professor at the University of Minnesota at Minneapolis (2000-2002) and full professor and Department Chair at Catholic University of Brescia (Italy) (1986-89).
He is the author of 25 books (several of them with multiple editions and translated into several languages), editor of 12 books, author of more than 400 papers published in international Scientific Journals and Conference Proceedings, member of the editorial board of 25 International Journals and Editor in Chief of two book series published by Springer-Nature.