Reactive hyperemia is a well-established technique for the non-invasive evaluation of the
peripheral microcirculatory function, measured as the magnitude of limb re-perfusion after a …

We consider the development of hyperbolic transport models for the propagation in space of
an epidemic phenomenon described by a classical compartmental dynamics. The model is …

A noteworthy aspect in blood flow modeling is the definition of the mechanical interaction
between the fluid flow and the biological structure that contains it, namely the vessel wall …

In this paper, we are interested in the numerical study of the one-dimensional blood flow
model with discontinuous mechanical and geometrical properties. We present the …

The paper is devoted to the comparison of one-dimensional models, used for the simulation
of blood flow in elastic vessels. The inviscid, Newtonian, and non-Newtonian models of …

This work aims at identifying and quantifying uncertainties related to elastic and viscoelastic
parameters, which characterize the arterial wall behavior, in one-dimensional modeling of …

Mathematical models are widely recognized as a valuable tool for cardiovascular diagnosis
and the study of circulatory diseases, especially to obtain data that require otherwise …

A novel staggered semi-implicit finite volume method for the simulation of one-dimensional
blood flow in networks of elastic and viscoelastic vessels is proposed. The one-dimensional …

Precise model personalization is a key step towards the application of cardiovascular
physical models. In this manuscript, we propose to use deep learning (DL) to solve the …

We recently derived the unified continuum and variational multiscale formulation for fluid–
structure interaction (FSI) using the Gibbs free energy as the thermodynamic potential …