Book ChapterDOI
Rheological models for blood
Anne M. Robertson,Adélia Sequeira,Robert G. Owens +2 more
- pp 211-241
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TLDR
This field involves the investigation of the macroscopic behaviour of blood determined in rheometric experiments, its microscopic properties in vitro and in vivo and studies of the interactions among blood cellular components and between these components and the endothelial cells that line blood vessels.Abstract:
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 interrelation between force, deformation and flow. The experimental determination of the rheological behaviour of materials is called rheometry. The object of haemorheology is the application of rheology to the study of flow properties of blood and its formed elements, and the coupling of blood and the blood vessels in living organisms. This field involves the investigation of the macroscopic behaviour of blood determined in rheometric experiments, its microscopic properties in vitro and in vivo and studies of the interactions among blood cellular components and between these components and the endothelial cells that line blood vessels.read more
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Journal ArticleDOI
The cardiovascular system: Mathematical modelling, numerical algorithms and clinical applications *
TL;DR: This review article will address the two principal components of the cardiovascular system: arterial circulation and heart function, and systematically describe all aspects of the problem, ranging from data imaging acquisition to the development of reduced-order models that are of paramount importance when solving problems with high complexity, which would otherwise be out of reach.
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Geometric multiscale modeling of the cardiovascular system, between theory and practice
TL;DR: This review paper addresses the so called geometric multiscale approach for the numerical simulation of blood flow problems, from its origin (that the authors can collocate in the second half of '90s) to their days, and details the most popular numerical algorithms for the solution of the coupled problems.
Journal ArticleDOI
On the shear-thinning and viscoelastic effects of blood flow under various flow rates
TL;DR: The aim of this paper is to demonstrate and quantify some of the most relevant non-Newtonian characteristics of blood flow in medium-sized blood vessels, namely its shear-thinning and viscoelastic behavior.
Journal ArticleDOI
A 3D non-Newtonian fluid-structure interaction model for blood flow in arteries
TL;DR: The present work is concerned with the coupling of a generalized Newtonian fluid, accounting for the shear-thinning behaviour of blood, with an elastic structure describing the vessel wall, to capture the pulse wave due to the interaction between blood and the vessels wall.
Journal ArticleDOI
Numerical Simulation of the Coagulation Dynamics of Blood
T. Bodnár,Adélia Sequeira +1 more
TL;DR: In this paper, a generalized Newtonian model with shear-thinning viscosity has been adopted to describe the flow of blood, and three-dimensional numerical simulations are carried out for the whole model in a straight vessel with circular cross-section.