On March 22, 2023, prof. Alfio Quarteroni held lecture as part of Department of Mathematics Colloquium "Sibe Mardešić" titled: "Physics-based and data-driven mathematical models for the simulation of the heart function".   Alfio Quarteroni is Professor of Numerical Analysis and Director of MOX at the Politecnico of Milan (Italy) and Emeritus Professor at EPFL, Lausanne. He is co-founder (and President) of MOXOFF, a spin-off company at Politecnico of Milan (2010). He is a member of Accademia Nazionale dei Lincei, the European Academy of Science, the Academia Europaea, the Lisbon Academy of Science, and the Italian Academy of Engineering and Technology. He was ranked n.48 worldwide, n.1 in Italy according to Top Mathematics Scientists 2022 His research group at EPFL has carried out the mathematical simulation of the Alinghi yacht, the winner of two editions (2003 and 2007) of the America’s Cup. Among his awards and honours are the NASA Award for the pioneering work in Computational Fluid Dynamics in 1992, the Ghislieri prize, 2013, the International Galileo Galilei prize for Sciences 2015, the ECCOMAS Euler Medal 2022, the ICIAM Lagrange Prize 2023. For abstract of this lecture and for upcoming lectures please visit official Colloquium "Sibe Mardešić" web site.