8 Reduced-order modeling for applications to the cardiovascular system

: The capability to provide fast and reliable numerical simulations is of paramount importance when dealing with complex applications arising from medi-cine. More than for other branches of engineering and applied sciences, performing accurate computations in a short amount of time – minutes, rather than hours, or even days – is crucial when dealing with problems arising from life sciences, like, e. g., in the simulation of the cardiovascular system. Moreover, many sources of variability carried by subject-specific features have to be incorporated into the mathematical models, to quantify their impact on the computed results. For these reasons, bringing computational results into clinical practice represents a great challenge. Reduced-order modeling techniques such as the reduced basis method represent a key tool towards the possibility to address these challenges, thus making the numerical modeling of the cardiovascular system a new, fascinating testbed for these methodologies.