Publisher Summary The development of mathematical models, algorithms and numerical
simulation tools for the investigation of the human cardiovascular system has received a …

Coronary flow is governed by a number of determinants including network anatomy,
systemic afterload and the mechanical interaction with the myocardium throughout the …

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 …

Lumped parameter and one‐dimensional models of the cardiovascular system generally
employ ideal cardiac and/or venous valves that open and close instantaneously. However …

The investigations on the pressure wave propagation along the arterial network and its
relationships with vascular physiopathologies can be supported nowadays by numerical …

In this paper, we present a mathematical analysis of the quasilinear effects arising in a
hyperbolic system of partial differential equations modelling blood flow through large …

We present a well‐balanced, high‐order non‐linear numerical scheme for solving a
hyperbolic system that models one‐dimensional flow in blood vessels with variable …

An elastic rubber tube is connected with a stiffer rubber tube forming two halves of a torus
and filled with water. Compressing one of the rubber tubes symmetrically and periodic at a …

We study the flow of an incompressible viscous fluid through a long tube with compliant
walls. The flow is governed by a given time-dependent pressure drop between the inlet and …

We study the flow of an incompressible viscous fluid through a long tube with compliant
walls. The flow is governed by a given time-dependent pressure head difference. The Navier …