Mathematical and numerical modelling of the cardiovascular system is a research topic that
has attracted remarkable interest from the mathematical community because of its intrinsic …

This review paper addresses the so called geometric multiscale approach for the numerical
simulation of blood flow problems, from its origin (that we can collocate in the second half …

Mathematical and numerical modelling of the human cardiovascular system has attracted
remarkable research interest due to its intrinsic mathematical difficulty and the increasing …

Abstract Behind Medicine (M) is Physiology (P), behind Physiology is Physics (P) and
behind Physics is always Mathematics (M), for which I expect that the symmetry of the …

Transcatheter aortic valve implantation (TAVI) is a minimally invasive intervention for the
treatment of severe aortic valve stenosis. The main cause of failure is the structural …

Abstract Modeling Fluid–Structure Interaction (FSI) in the vascular system is mandatory to
reliably compute mechanical indicators in vessels undergoing large deformations. In order …

Today's multi-physics simulations suffer from a lack of either flexibility or scalability. Only
reconciling both will allow for translating the higher compute power of the forthcoming exa …

Blood flow, dam or ship construction and numerous other problems in biomedical and
general engineering involve incompressible flows interacting with elastic structures. Such …

This paper presents a mathematical model of the global, arterio‐venous circulation in the
entire human body, coupled to a refined description of the cerebrospinal fluid (CSF) …

We review and compare different fluid-structure interaction (FSI) numerical methods in the
context of heart modeling, aiming at assessing their computational efficiency for cardiac …