Details
| Original language | English |
|---|---|
| Pages (from-to) | 347-359 |
| Number of pages | 13 |
| Journal | Biomechanics and Modeling in Mechanobiology |
| Volume | 18 |
| Issue number | 2 |
| Publication status | Published - 30 Oct 2019 |
Abstract
In this paper, a novel 3D numerical method has been developed to simulate red blood cells (RBCs) based on the interaction between a shell-like solid structure and a fluid. RBC is assumed to be a thin shell encapsulating an internal fluid (cytoplasm) which is submerged in an external fluid (blood plasma). The approach is entirely based on the smoothed particle hydrodynamics (SPH) method for both fluid and the shell structure. Both cytoplasm and plasma are taken to be incompressible Newtonian fluid. As the kinematic assumptions for the shell, Reissner–Mindlin theory has been introduced into the formulation. Adopting a total Lagrangian (TL) formulation for the shell in the realm of small strains and finite deflection, the presented computational tool is capable of handling large displacements and rotations. As an application, the deformation of a single RBC while passing a stenosed capillary has been modeled. If the rheological behavior of the RBC changes, for example, due to some infection, it is reflected in its deformability when it passes through the microvessels. It can severely affect its proper function which is providing the oxygen and nutrient to the living cells. Hence, such numerical tools are useful in understanding and predicting the mechanical behavior of RBCs. Furthermore, the numerical simulation of stretching an RBC in the optical tweezers system is presented and the results are verified. To the best of authors’ knowledge, a computational tool purely based on the SPH method in the framework of shell–fluid interaction for RBCs simulation is not available in the literature.
Keywords
- Fluid–solid interaction, Red blood cell, Shell, Smoothed particle hydrodynamics
ASJC Scopus subject areas
- Biochemistry, Genetics and Molecular Biology(all)
- Biotechnology
- Mathematics(all)
- Modelling and Simulation
- Engineering(all)
- Mechanical Engineering
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In: Biomechanics and Modeling in Mechanobiology, Vol. 18, No. 2, 30.10.2019, p. 347-359.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Red blood cell simulation using a coupled shell–fluid analysis purely based on the SPH method
AU - Soleimani, Meisam
AU - Sahraee, Shahab
AU - Wriggers, Peter
N1 - Funding Information: Acknowledgements The authors sincerely acknowledge the financial support of this research by the state of Lower Saxony, Germany, within the program ”wissenschaftsallianz.”
PY - 2019/10/30
Y1 - 2019/10/30
N2 - In this paper, a novel 3D numerical method has been developed to simulate red blood cells (RBCs) based on the interaction between a shell-like solid structure and a fluid. RBC is assumed to be a thin shell encapsulating an internal fluid (cytoplasm) which is submerged in an external fluid (blood plasma). The approach is entirely based on the smoothed particle hydrodynamics (SPH) method for both fluid and the shell structure. Both cytoplasm and plasma are taken to be incompressible Newtonian fluid. As the kinematic assumptions for the shell, Reissner–Mindlin theory has been introduced into the formulation. Adopting a total Lagrangian (TL) formulation for the shell in the realm of small strains and finite deflection, the presented computational tool is capable of handling large displacements and rotations. As an application, the deformation of a single RBC while passing a stenosed capillary has been modeled. If the rheological behavior of the RBC changes, for example, due to some infection, it is reflected in its deformability when it passes through the microvessels. It can severely affect its proper function which is providing the oxygen and nutrient to the living cells. Hence, such numerical tools are useful in understanding and predicting the mechanical behavior of RBCs. Furthermore, the numerical simulation of stretching an RBC in the optical tweezers system is presented and the results are verified. To the best of authors’ knowledge, a computational tool purely based on the SPH method in the framework of shell–fluid interaction for RBCs simulation is not available in the literature.
AB - In this paper, a novel 3D numerical method has been developed to simulate red blood cells (RBCs) based on the interaction between a shell-like solid structure and a fluid. RBC is assumed to be a thin shell encapsulating an internal fluid (cytoplasm) which is submerged in an external fluid (blood plasma). The approach is entirely based on the smoothed particle hydrodynamics (SPH) method for both fluid and the shell structure. Both cytoplasm and plasma are taken to be incompressible Newtonian fluid. As the kinematic assumptions for the shell, Reissner–Mindlin theory has been introduced into the formulation. Adopting a total Lagrangian (TL) formulation for the shell in the realm of small strains and finite deflection, the presented computational tool is capable of handling large displacements and rotations. As an application, the deformation of a single RBC while passing a stenosed capillary has been modeled. If the rheological behavior of the RBC changes, for example, due to some infection, it is reflected in its deformability when it passes through the microvessels. It can severely affect its proper function which is providing the oxygen and nutrient to the living cells. Hence, such numerical tools are useful in understanding and predicting the mechanical behavior of RBCs. Furthermore, the numerical simulation of stretching an RBC in the optical tweezers system is presented and the results are verified. To the best of authors’ knowledge, a computational tool purely based on the SPH method in the framework of shell–fluid interaction for RBCs simulation is not available in the literature.
KW - Fluid–solid interaction
KW - Red blood cell
KW - Shell
KW - Smoothed particle hydrodynamics
UR - http://www.scopus.com/inward/record.url?scp=85055865396&partnerID=8YFLogxK
U2 - 10.1007/s10237-018-1085-9
DO - 10.1007/s10237-018-1085-9
M3 - Article
C2 - 30377857
AN - SCOPUS:85055865396
VL - 18
SP - 347
EP - 359
JO - Biomechanics and Modeling in Mechanobiology
JF - Biomechanics and Modeling in Mechanobiology
SN - 1617-7959
IS - 2
ER -