Research Article
An Investigation on the Aggregation and Rheodynamics of
Human Red Blood Cells Using High Performance Computations
Dong Xu,
1
Chunning Ji,
1
Eldad Avital,
2
Efstathios Kaliviotis,
3
Ante Munjiza,
4
and John Williams
2
1
State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Weijin Road, Tianjin 300072, China
2
School of Engineering & Materials Science, Queen Mary University of London, Mile End Road, London E1 4NS, UK
3
Department of Mechanical Engineering and Materials Science and Engineering, Faculty of Engineering and Technology,
Cyprus University of Technology, 45 Kitiou Kyprianou, 3041 Limassol, Cyprus
4
Faculty of Civil Engineering, University of Split, Split, Croatia
Correspondence should be addressed to Dong Xu; xudong@tju.edu.cn
Received 6 January 2017; Accepted 28 February 2017; Published 4 April 2017
Academic Editor: Dharmendra Tripathi
Copyright © 2017 Dong Xu et al. Tis is an open access article distributed under the Creative Commons Attribution License, which
permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Studies on the haemodynamics of human circulation are clinically and scientifcally important. In order to investigate the efect of
deformation and aggregation of red blood cells (RBCs) in blood fow, a computational technique has been developed by coupling
the interaction between the fuid and the deformable RBCs. Parallelization was carried out for the coupled code and a high speedup
was achieved based on a spatial decomposition. In order to verify the code’s capability of simulating RBC deformation and transport,
simulations were carried out for a spherical capsule in a microchannel and multiple RBC transport in a Poiseuille fow. RBC
transport in a confned tube was also carried out to simulate the peristaltic efects of microvessels. Relatively large-scale simulations
were carried out of the motion of 49,512 RBCs in shear fows, which yielded a hematocrit of 45%. Te large-scale feature of the
simulation has enabled a macroscale verifcation and investigation of the overall characteristics of RBC aggregations to be carried
out. Te results are in excellent agreement with experimental studies and, more specifcally, both the experimental and simulation
results show uniform RBC distributions under high shear rates (60–100/s) whereas large aggregations were observed under a lower
shear rate of 10/s.
1. Introduction
Te red blood cell (RBC, also referred to as erythrocyte) is
the most common type of cell occurring in human blood
and occupies approximately 45% of the total blood volume
for man and 40% for women. RBCs in a healthy state have a
biconcave shape with a diameter of 6–8 m and a thickness
of about 2 m at the edges and about 1 m at the center [1].
Te RBC aggregation, which is the mechanism that greatly
infuences the non-Newtonian properties of blood [2], occurs
when the shear forces are low and cells attract each other
to form rouleaux (structures resembling coin piles), larger
aggregates, and networks of aggregates. RBC aggregation can
cause complications in health related issues; therefore, the
investigation of deformability and aggregation of RBCs in
blood fow can be promising for the better understanding and
diagnosis of many diseases in clinical medicine.
Due to the complex mechanism of fuid-structure inter-
action, the theoretical analysis of RBCs or capsules is
difcult and is usually limited to simple geometries and
small deformations (Barthes-Biesel, 1980) and an alterna-
tive approach—numerical simulation—has attracted much
attention. To date, most simulations have tended to target a
relatively small number of cells ([3]; Dupin et al., 2006), due
to their complex nature. Te intrinsic complexity of biological
systems requires a closer combination between experimental
and computational approaches ([3, 4], Secomb, 2011). Tis
requires large-scale simulations because experiments usually
measure the macroscale efects with large quantities of cells
[4–7].
So far, most RBC simulations have tended to target a
relatively small number of cells [3, 8, 9]. However, it is
ofen said that biological systems, such as cells, are “complex
Hindawi
Scientifica
Volume 2017, Article ID 6524156, 10 pages
https://doi.org/10.1155/2017/6524156