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

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 …

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 …

This review is devoted to recent developments in blood flow modelling. It begins with the
discussion of blood rheology and its non-Newtonian properties. After that we will present …

Aortic flow and pressure result from the interactions between the heart and arterial system. In
this work, we considered these interactions by utilizing a lumped parameter heart model as …

A numerical model based on the nonlinear, one-dimensional (1-D) equations of pressure
and flow wave propagation in conduit arteries is tested against a well-defined experimental …

The shape of the arterial pulse wave is intimately related to the physical properties of the
cardiovascular system. Understanding the mechanisms underlying this relation is clinically …

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

There is an important interaction between the pumping performance of the ventricle, arterial
haemodynamics and coronary blood flow. While previous non‐linear 1D models have …

A computational model of the entire cardiovascular system is established based on multi-
scale modeling, where the arterial tree is described by a one-dimensional model coupled …