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 …

The beating heart creates blood pressure and flow pulsations that propagate as waves
through the arterial tree that are reflected at transitions in arterial geometry and elasticity …

A distributed model of the human arterial tree including all main systemic arteries coupled to
a heart model is developed. The one-dimensional (1-D) form of the momentum and …

A computer model for simulating pressure and flow propagation in the human arterial system
is developed. The model is based on the one-dimensional flow equations and includes …

Abstract One-dimensional (1D) modeling is a powerful tool for studying haemodynamics;
however, a comprehensive 1D model representing the entire cardiovascular system is …

Hæmodynamical simulations using one‐dimensional (1D) computational models exhibit
many of the features of the systemic circulation under normal and diseased conditions …

A central problem in modeling blood flow and pressure in the larger systemic arteries is
determining a physiologically based boundary condition so that the arterial tree can be …

Background Zero-dimensional (lumped parameter) and one dimensional models, based on
simplified representations of the components of the cardiovascular system, can contribute …

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

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 …