Methods of Blood Flow Modelling

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 some modelling methods where blood is considered as a heterogeneous fluid composed of plasma and blood cells. Namely, we...

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Published inMathematical modelling of natural phenomena Vol. 11; no. 1; pp. 1 - 25
Main Authors Volpert, V., Bessonov, N., Sequeira, A., Simakov, S., Vassilevskii, Yu
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences 2016
Subjects
35L40
70-08
76A10
76M12
76Z05
92C35
Analysis of PDEs
Blood cells
Blood circulation
Blood flow
blood rheology
dissipative particle dynamics
global circulation
Mathematics
Modelling
Rheological properties
Rheology
shear thinning
viscoelasticity
blood rheology
dynamics
dissipative particle
global circulation
viscoelasticity
shear thinning
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Summary: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 some modelling methods where blood is considered as a heterogeneous fluid composed of plasma and blood cells. Namely, we will describe the method of Dissipative Particle Dynamics and will present some results of blood flow modelling. The last part of this paper deals with one-dimensional global models of blood circulation. We will explain the main ideas of this approach and will present some examples of its application.
Bibliography:ark:/67375/80W-CXKJD0WB-T
istex:0F74C14B320DB19D0F98A6902249AF917A42A93C
PII:S0973534816111010
publisher-ID:mmnp2016111p1
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0973-5348
1760-6101
DOI:10.1051/mmnp/201611101