This article discusses selected aspects of modelling blood flow in the arteries. The method of
reproducing the variable-intime geometry of coronary arteries is given based on a sequence …

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 …

At the present time, blood circulation system modeling has not progressed beyond single-
vessel (on an arterial level as well as on capillary level) biomechanical system simulation …

Editorial article for this edition of Medical Engineering and Physics. Cardiovascular disease
is one of the leading causes of death and disability in the world today. It develops over many …

In this extended abstract a numerical experiment of the fluid–structure interaction in blood
vessels is presented. Finite Element model of the portion of the vascular system, in particular …

A mathematical model of blood flow in arterial vessels with account for the nonstationary
character of the laminar flow and the time-varying pressure drop is considered. The viscosity …

Rheology is the science of the deformation and flow of materials. It deals with the theoretical
concepts of kinematics, conservation laws and constitutive relations, describing the …

Numerical simulation of arterial hemodynamics and mass transport have become an
important tool in recent years due to the significant advances in numerical mathematics …

This book offers a mathematical update of the state of the art of the research in the field of
mathematical and numerical models of the circulatory system. It is structured into different …

The paper presents a detailed model of the entire human cardiovascular system which aims
to study the changes in flow distribution caused by external stimuli, changes in internal …