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Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions

BACKGROUND: Computational modeling of Red Blood Cell (RBC) flow contributes to the fundamental understanding of microhemodynamics and microcirculation. In order to construct theoretical RBC models, experimental studies on single RBC mechanics have presented a material description for RBC membranes b...

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Autores principales: Ye, Swe Soe, Ng, Yan Cheng, Tan, Justin, Leo, Hwa Liang, Kim, Sangho
Formato: Online Artículo Texto
Lenguaje:English
Publicado: BioMed Central 2014
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4026836/
https://www.ncbi.nlm.nih.gov/pubmed/24885482
http://dx.doi.org/10.1186/1742-4682-11-19
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author Ye, Swe Soe
Ng, Yan Cheng
Tan, Justin
Leo, Hwa Liang
Kim, Sangho
author_facet Ye, Swe Soe
Ng, Yan Cheng
Tan, Justin
Leo, Hwa Liang
Kim, Sangho
author_sort Ye, Swe Soe
collection PubMed
description BACKGROUND: Computational modeling of Red Blood Cell (RBC) flow contributes to the fundamental understanding of microhemodynamics and microcirculation. In order to construct theoretical RBC models, experimental studies on single RBC mechanics have presented a material description for RBC membranes based on their membrane shear, bending and area moduli. These properties have been directly employed in 3D continuum models of RBCs but practical flow analysis with 3D models have been limited by their computationally expensive nature. As such, various researchers have employed 2D models to efficiently and qualitatively study microvessel flows. Currently, the representation of RBC dynamics using 2D models is a limited methodology that breaks down at high shear rates due to excessive and unrealistic stretching. METHODS: We propose a localized scaling of the 2D elastic moduli such that it increases with RBC local membrane strain, thereby accounting for effects such as the Poisson effect and membrane local area incompressibility lost in the 2D simplification. Validation of our 2D Large Deformation (2D-LD) RBC model was achieved by comparing the predicted RBC deformation against the 3D model from literature for the case of a single RBC in simple shear flow under various shear rates (dimensionless shear rate G = 0.05, 0.1, 0.2, 0.5). The multi-cell flow of RBCs (38% Hematocrit) in a 20 μm width microchannel under varying shear rates (50, 150, 150 s(-1)) was then simulated with our proposed model and the popularly-employed 2D neo-Hookean model in order to evaluate the efficacy of our proposed 2D-LD model. RESULTS: The validation set indicated similar RBC deformation for both the 2D-LD and the 3D models across the studied shear rates, highlighting the robustness of our model. The multi-cell simulation indicated that the 2D neo-Hookean model predicts noodle-like RBC shapes at high shear rates (G = 0.5) whereas our 2D-LD model maintains sensible RBC deformations. CONCLUSION: The ability of the 2D-LD model to limit RBC strain even at high shear rates enables this proposed model to be employed in practical simulations of high shear rate microfluidic flows such as blood separation channels.
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spelling pubmed-40268362014-05-30 Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions Ye, Swe Soe Ng, Yan Cheng Tan, Justin Leo, Hwa Liang Kim, Sangho Theor Biol Med Model Research BACKGROUND: Computational modeling of Red Blood Cell (RBC) flow contributes to the fundamental understanding of microhemodynamics and microcirculation. In order to construct theoretical RBC models, experimental studies on single RBC mechanics have presented a material description for RBC membranes based on their membrane shear, bending and area moduli. These properties have been directly employed in 3D continuum models of RBCs but practical flow analysis with 3D models have been limited by their computationally expensive nature. As such, various researchers have employed 2D models to efficiently and qualitatively study microvessel flows. Currently, the representation of RBC dynamics using 2D models is a limited methodology that breaks down at high shear rates due to excessive and unrealistic stretching. METHODS: We propose a localized scaling of the 2D elastic moduli such that it increases with RBC local membrane strain, thereby accounting for effects such as the Poisson effect and membrane local area incompressibility lost in the 2D simplification. Validation of our 2D Large Deformation (2D-LD) RBC model was achieved by comparing the predicted RBC deformation against the 3D model from literature for the case of a single RBC in simple shear flow under various shear rates (dimensionless shear rate G = 0.05, 0.1, 0.2, 0.5). The multi-cell flow of RBCs (38% Hematocrit) in a 20 μm width microchannel under varying shear rates (50, 150, 150 s(-1)) was then simulated with our proposed model and the popularly-employed 2D neo-Hookean model in order to evaluate the efficacy of our proposed 2D-LD model. RESULTS: The validation set indicated similar RBC deformation for both the 2D-LD and the 3D models across the studied shear rates, highlighting the robustness of our model. The multi-cell simulation indicated that the 2D neo-Hookean model predicts noodle-like RBC shapes at high shear rates (G = 0.5) whereas our 2D-LD model maintains sensible RBC deformations. CONCLUSION: The ability of the 2D-LD model to limit RBC strain even at high shear rates enables this proposed model to be employed in practical simulations of high shear rate microfluidic flows such as blood separation channels. BioMed Central 2014-05-13 /pmc/articles/PMC4026836/ /pubmed/24885482 http://dx.doi.org/10.1186/1742-4682-11-19 Text en Copyright © 2014 Ye et al.; licensee BioMed Central Ltd. http://creativecommons.org/licenses/by/2.0 This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly credited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.
spellingShingle Research
Ye, Swe Soe
Ng, Yan Cheng
Tan, Justin
Leo, Hwa Liang
Kim, Sangho
Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
title Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
title_full Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
title_fullStr Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
title_full_unstemmed Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
title_short Two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
title_sort two-dimensional strain-hardening membrane model for large deformation behavior of multiple red blood cells in high shear conditions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4026836/
https://www.ncbi.nlm.nih.gov/pubmed/24885482
http://dx.doi.org/10.1186/1742-4682-11-19
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