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Computational Modeling of Membrane Viscosity of Red Blood Cells

Published online by Cambridge University Press:  30 April 2015

John Gounley  and
Yan Peng
John Gounley
Affiliation:
Deparment of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23507, USA
Yan Peng*
Affiliation:
Deparment of Mathematics and Statistics, Old Dominion University, Norfolk, VA 23507, USA
*
*Corresponding author. Email addresses: jgounley@odu.edu (J. Gounley), ypeng@odu.edu (Y. Peng)
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Abstract

Despite its demonstrated importance in the deformation and dynamics of red blood cells, membrane viscosity has not received the same attention in computational models as elasticity and bending stiffness. Recent experiments on red blood cells indicated a power law response due to membrane viscosity. This is potentially much different from the solid viscoelastic models, such as Kelvin-Voigt and standard linear solid (SLS), currently used in computation to describe this aspect of the membrane. Within the context of a framework based on lattice Boltzmann and immersed boundary methods, we introduce SLS and power law models for membrane viscosity. We compare how the Kelvin-Voigt (as approximated by SLS) and power law models alter the deformation and dynamics of a spherical capsule in shear flows.

Keywords

74F10Capsulemembrane viscosityviscoelastic modelspower law models
Type
Research Article
Information
Communications in Computational Physics , Volume 17 , Issue 4 , April 2015 , pp. 1073 - 1087
Copyright
Copyright © Global-Science Press 2015 

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