# Segregation of Flowing Blood: Mathematical Description

A. Tokarev; G. Panasenko; F. Ataullakhanov

Mathematical Modelling of Natural Phenomena (2011)

- Volume: 6, Issue: 5, page 281-319
- ISSN: 0973-5348

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topTokarev, A., Panasenko, G., and Ataullakhanov, F.. "Segregation of Flowing Blood: Mathematical Description." Mathematical Modelling of Natural Phenomena 6.5 (2011): 281-319. <http://eudml.org/doc/222413>.

@article{Tokarev2011,

abstract = {Blood rheology is completely determined by its major corpuscles which are erythrocytes,
or red blood cells (RBCs). That is why understanding and correct mathematical description
of RBCs behavior in blood is a critical step in modelling the blood dynamics. Various
phenomena provided by RBCs such as aggregation, deformation, shear-induced diffusion and
non-uniform radial distribution affect the passage of blood through the vessels. Hence,
they have to be taken into account while modelling the blood dynamics. Other important
blood corpuscles are platelets, which are crucial for blood clotting. RBCs strongly affect
the platelet transport in blood expelling them to the vessel walls and increasing their
dispersion, which has to be considered in models of clotting. In this article we give a
brief review of basic modern approaches in mathematical description of these phenomena,
discuss their applicability to real flow conditions and propose further pathways for
developing the theory of blood flow. },

author = {Tokarev, A., Panasenko, G., Ataullakhanov, F.},

journal = {Mathematical Modelling of Natural Phenomena},

keywords = {blood; erythrocytes; platelets; suspension dynamics},

language = {eng},

month = {8},

number = {5},

pages = {281-319},

publisher = {EDP Sciences},

title = {Segregation of Flowing Blood: Mathematical Description},

url = {http://eudml.org/doc/222413},

volume = {6},

year = {2011},

}

TY - JOUR

AU - Tokarev, A.

AU - Panasenko, G.

AU - Ataullakhanov, F.

TI - Segregation of Flowing Blood: Mathematical Description

JO - Mathematical Modelling of Natural Phenomena

DA - 2011/8//

PB - EDP Sciences

VL - 6

IS - 5

SP - 281

EP - 319

AB - Blood rheology is completely determined by its major corpuscles which are erythrocytes,
or red blood cells (RBCs). That is why understanding and correct mathematical description
of RBCs behavior in blood is a critical step in modelling the blood dynamics. Various
phenomena provided by RBCs such as aggregation, deformation, shear-induced diffusion and
non-uniform radial distribution affect the passage of blood through the vessels. Hence,
they have to be taken into account while modelling the blood dynamics. Other important
blood corpuscles are platelets, which are crucial for blood clotting. RBCs strongly affect
the platelet transport in blood expelling them to the vessel walls and increasing their
dispersion, which has to be considered in models of clotting. In this article we give a
brief review of basic modern approaches in mathematical description of these phenomena,
discuss their applicability to real flow conditions and propose further pathways for
developing the theory of blood flow.

LA - eng

KW - blood; erythrocytes; platelets; suspension dynamics

UR - http://eudml.org/doc/222413

ER -

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