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Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule

A.S. Ademiloye, L.W. Zhang, K.M. Liew, Adesola Ademiloye Orcid Logo

Applied Mathematics and Computation, Volume: 268, Pages: 334 - 353

Swansea University Author: Adesola Ademiloye Orcid Logo

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DOI (Published version): 10.1016/j.amc.2015.06.071

Abstract

This paper employs the higher-order gradient theory to study the elastic and mechanical properties of red blood cell (RBC) membrane using the higher-order Cauchy-Born rule as an atomistic-continuum constitutive model that directly incorporates the microstructure of the spectrin network. The triangul...

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Published in: Applied Mathematics and Computation
ISSN: 0096-3003
Published: Elsevier 2015
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URI: https://cronfa.swan.ac.uk/Record/cronfa44903
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spelling 2019-10-01T14:28:17.4338632 v2 44903 2018-10-16 Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule e37960ed89a7e3eaeba2201762626594 0000-0002-9741-6488 Adesola Ademiloye Adesola Ademiloye true false 2018-10-16 MEDE This paper employs the higher-order gradient theory to study the elastic and mechanical properties of red blood cell (RBC) membrane using the higher-order Cauchy-Born rule as an atomistic-continuum constitutive model that directly incorporates the microstructure of the spectrin network. The triangulated structure of the spectrin network is used to identify a representative cell or microstructure for the model as a symmetrical hexagon, which was then used together with the coarse-grained Helmholtz free energy density to construct a strain energy density function. Effects of the area and volume constraint coefficients on elastic and mechanical properties of RBC membrane were studied by conducting numerical experiments. The dependence of the membrane properties on various microstructure parameters and temperature was also studied. Finally, we investigated the mechanical response of the RBC membrane when subjected to tensile, shear and area dilation loading conditions using a representative microstructure. The results obtained shows that the elastic and mechanical properties of the membrane vary with increase in area and volume constraint coefficients; it also shows that these elastic and mechanical properties are affected by temperature and membrane microstructure parameters, which also influence the response of the membrane under various loading conditions. Journal Article Applied Mathematics and Computation 268 334 353 Elsevier 0096-3003 Cell membrane; Constitutive model; Elastic-mechanical properties; Higher-order Cauchy-Born rule; Red blood cells; Spectrin-lipid bilayer 31 12 2015 2015-12-31 10.1016/j.amc.2015.06.071 https://www.sciencedirect.com/science/article/pii/S0096300315008528 COLLEGE NANME Biomedical Engineering COLLEGE CODE MEDE Swansea University 2019-10-01T14:28:17.4338632 2018-10-16T12:41:55.4174894 Faculty of Science and Engineering School of Engineering and Applied Sciences - Biomedical Engineering A.S. Ademiloye 1 L.W. Zhang 2 K.M. Liew 3 Adesola Ademiloye 0000-0002-9741-6488 4
title Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
spellingShingle Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
Adesola Ademiloye
title_short Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
title_full Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
title_fullStr Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
title_full_unstemmed Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
title_sort Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy–Born rule
author_id_str_mv e37960ed89a7e3eaeba2201762626594
author_id_fullname_str_mv e37960ed89a7e3eaeba2201762626594_***_Adesola Ademiloye
author Adesola Ademiloye
author2 A.S. Ademiloye
L.W. Zhang
K.M. Liew
Adesola Ademiloye
format Journal article
container_title Applied Mathematics and Computation
container_volume 268
container_start_page 334
publishDate 2015
institution Swansea University
issn 0096-3003
doi_str_mv 10.1016/j.amc.2015.06.071
publisher Elsevier
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Engineering and Applied Sciences - Biomedical Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Engineering and Applied Sciences - Biomedical Engineering
url https://www.sciencedirect.com/science/article/pii/S0096300315008528
document_store_str 0
active_str 0
description This paper employs the higher-order gradient theory to study the elastic and mechanical properties of red blood cell (RBC) membrane using the higher-order Cauchy-Born rule as an atomistic-continuum constitutive model that directly incorporates the microstructure of the spectrin network. The triangulated structure of the spectrin network is used to identify a representative cell or microstructure for the model as a symmetrical hexagon, which was then used together with the coarse-grained Helmholtz free energy density to construct a strain energy density function. Effects of the area and volume constraint coefficients on elastic and mechanical properties of RBC membrane were studied by conducting numerical experiments. The dependence of the membrane properties on various microstructure parameters and temperature was also studied. Finally, we investigated the mechanical response of the RBC membrane when subjected to tensile, shear and area dilation loading conditions using a representative microstructure. The results obtained shows that the elastic and mechanical properties of the membrane vary with increase in area and volume constraint coefficients; it also shows that these elastic and mechanical properties are affected by temperature and membrane microstructure parameters, which also influence the response of the membrane under various loading conditions.
published_date 2015-12-31T03:56:23Z
_version_ 1763752839348224000
score 11.012924

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