Formation of the three-dimensional geometry of the red blood cell membrane

Polwaththe-Gallage, Hasitha-Nayanajith, Saha, Suvash C., & Gu, YuanTong (2014) Formation of the three-dimensional geometry of the red blood cell membrane. The ANZIAM Journal, 55, pp. 80-95.

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Abstract

Red blood cells (RBCs) are nonnucleated liquid capsules, enclosed in deformable viscoelastic membranes with complex three dimensional geometrical structures. Generally, RBC membranes are highly incompressible and resistant to areal changes. However, RBC membranes show a planar shear deformation and out of plane bending deformation. The behaviour of RBCs in blood vessels is investigated using numerical models. All the characteristics of RBC membranes should be addressed to develop a more accurate and stable model. This article presents an effective methodology to model the three dimensional geometry of the RBC membrane with the aid of commercial software COMSOL Multiphysics 4.2a and Fortran programming. Initially, a mesh is generated for a sphere using the COMSOL Multiphysics software to represent the RBC membrane. The elastic energy of the membrane is considered to determine a stable membrane shape. Then, the actual biconcave shape of the membrane is obtained based on the principle of virtual work, when the total energy is minimised. The geometry of the RBC membrane could be used with meshfree particle methods to simulate motion and deformation of RBCs in micro-capillaries

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ID Code: 80034
Item Type: Journal Article
Refereed: Yes
Additional URLs:
Keywords: Three-dimensional Red Blood Cell (RBC), Principal of virtual work, Meshfree Methods, Microcirculation, Numerical Simulations
DOI: 10.0000/anziamj.v55i0.7820
ISSN: 1446-8735
Subjects: Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > BIOMEDICAL ENGINEERING (090300) > Biomechanical Engineering (090302)
Australian and New Zealand Standard Research Classification > ENGINEERING (090000) > MECHANICAL ENGINEERING (091300) > Numerical Modelling and Mechanical Characterisation (091307)
Divisions: Current > Schools > School of Chemistry, Physics & Mechanical Engineering
Current > QUT Faculties and Divisions > Science & Engineering Faculty
Funding:
Copyright Owner: Copyright 2014 Australian Mathematical Society
Deposited On: 14 Jan 2015 05:27
Last Modified: 14 Jan 2015 22:18

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