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 investigations of the cardiovascular system, although a
relatively new research area, will give rise to some of the major mathematical challenges of …

In hemodynamics, local phenomena, such as the perturbation of flow pattern in a specific
vascular region, are strictly related to the global features of the whole circulation (see, eg,[L …

In this paper we propose a method for coupling distributed and lumped models for the blood
circulation. Lumped parameter models, based on an analogy between the circulatory system …

Patient-specific cardiovascular simulations can provide clinicians with predictive tools, fill
current gaps in clinical imaging capabilities, and contribute to the fundamental …

In this paper we show how numerical solutions of human cardiovascular system may be
devised by coupling models having different physical dimensions. One of the aspects of …

For the numerical simulation of the circulatory system, geometrical multiscale models based
on the coupling of systems of differential equations with different spatial dimensions are …

When modelling the cardiovascular system, the effect of the vessel wall on the blood flow
has great relevance. Arterial vessels are complex living tissues and three-dimensional …

We present a new computational model for the numerical simulation of blood flow in the
human left heart. To this aim, we use the Navier-Stokes equations in an Arbitrary Lagrangian …

This work was motivated by the problems of analysing detailed 3D models of vascular
districts with complex anatomy. It suggests an approach to prescribing realistic boundary …