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Red blood cell simulation using a coupled shell-fluid analysis purely based on the SPH method.
Biomech Model Mechanobiol 2019; 18(2):347-359BM

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.

Authors+Show Affiliations

Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany. soleimani@ikm.uni-hannover.de.Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany.Institute of Continuum Mechanics, Leibniz Universität Hannover, Hannover, Germany.

Pub Type(s)

Journal Article

Language

eng

PubMed ID

30377857

Citation

Soleimani, Meisam, et al. "Red Blood Cell Simulation Using a Coupled Shell-fluid Analysis Purely Based On the SPH Method." Biomechanics and Modeling in Mechanobiology, vol. 18, no. 2, 2019, pp. 347-359.
Soleimani M, Sahraee S, Wriggers P. Red blood cell simulation using a coupled shell-fluid analysis purely based on the SPH method. Biomech Model Mechanobiol. 2019;18(2):347-359.
Soleimani, M., Sahraee, S., & Wriggers, P. (2019). Red blood cell simulation using a coupled shell-fluid analysis purely based on the SPH method. Biomechanics and Modeling in Mechanobiology, 18(2), pp. 347-359. doi:10.1007/s10237-018-1085-9.
Soleimani M, Sahraee S, Wriggers P. Red Blood Cell Simulation Using a Coupled Shell-fluid Analysis Purely Based On the SPH Method. Biomech Model Mechanobiol. 2019;18(2):347-359. PubMed PMID: 30377857.
* Article titles in AMA citation format should be in sentence-case
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, Y1 - 2018/10/30/ PY - 2018/04/13/received PY - 2018/10/16/accepted PY - 2018/11/1/pubmed PY - 2018/11/1/medline PY - 2018/11/1/entrez KW - Fluid–solid interaction KW - Red blood cell KW - Shell KW - Smoothed particle hydrodynamics SP - 347 EP - 359 JF - Biomechanics and modeling in mechanobiology JO - Biomech Model Mechanobiol VL - 18 IS - 2 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. SN - 1617-7940 UR - https://www.unboundmedicine.com/medline/citation/30377857/Red_blood_cell_simulation_using_a_coupled_shell-fluid_analysis_purely_based_on_the_SPH_method L2 - https://dx.doi.org/10.1007/s10237-018-1085-9 DB - PRIME DP - Unbound Medicine ER -