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 …

Advances in numerical methods and three-dimensional imaging techniques have enabled
the quantification of cardiovascular mechanics in subject-specific anatomic and physiologic …

This is the key text and reference for engineers, researchers and senior students dealing
with the analysis and modelling of structures–from large civil engineering projects such as …

We propose a framework that combines variational immersed-boundary and arbitrary
Lagrangian–Eulerian methods for fluid–structure interaction (FSI) simulation of a …

The aim of this work is to provide a mathematical contribution to explain the numerical
instabilities encountered under certain combinations of physical parameters in the …

This paper builds on a recently developed immersogeometric fluid–structure interaction
(FSI) methodology for bioprosthetic heart valve (BHV) modeling and simulation. It enhances …

Flow and pressure waves emanate from the heart and travel through the major arteries
where they are damped, dispersed and reflected due to changes in vessel caliber, tissue …

A NURBS (non-uniform rational B-splines)-based isogeometric fluid–structure interaction
formulation, coupling incompressible fluids with non-linear elastic solids, and allowing for …

In this paper a family of one-dimensional nonlinear systems which model the blood pulse
propagation in compliant arteries is presented and investigated. They are obtained by …

Blood velocity and pressure fields in large arteries are greatly influenced by the
deformability of the vessel. Moreover, wave propagation phenomena in the cardiovascular …