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Effect of constitutive law on the erythrocyte membrane response to large strains

Pepona, Marianna; Gounley, John; Randles, Amanda


John Gounley

Amanda Randles


Three constitutive laws, that is the Skalak, neo-Hookean and Yeoh laws, commonly employed for describing the erythrocyte membrane mechanics are theoretically analyzed and numerically investigated to assess their accuracy for capturing erythrocyte deformation characteristics and morphology. Particular emphasis is given to the nonlinear deformation regime, where it is known that the discrepancies between constitutive laws are most prominent. Hence, the experiments of optical tweezers and micropipette aspiration are considered here, for which relationships between the individual shear elastic moduli of the constitutive laws can also be established through analysis of the tension-deformation relationship. All constitutive laws were found to adequately predict the axial and transverse deformations of a red blood cell subjected to stretching with optical tweezers for a constant shear elastic modulus value. As opposed to Skalak law, the neo-Hookean and Yeoh laws replicated the erythrocyte membrane folding, that has been experimentally observed, with the trade-off of sustaining significant area variations. For the micropipette aspiration, the suction pressure-aspiration length relationship could be excellently predicted for a fixed shear elastic modulus value only when Yeoh law was considered. Importantly, the neo-Hookean and Yeoh laws reproduced the membrane wrinkling at suction pressures close to those experimentally measured. None of the constitutive laws suffered from membrane area compressibility in the micropipette aspiration case.


Pepona, M., Gounley, J., & Randles, A. (2023). Effect of constitutive law on the erythrocyte membrane response to large strains. Computers and Mathematics with Applications, 132, 145-160.

Journal Article Type Article
Acceptance Date Dec 10, 2022
Online Publication Date Jan 3, 2023
Publication Date Feb 15, 2023
Deposit Date Jan 26, 2023
Publicly Available Date Jan 4, 2024
Journal Computers & Mathematics with Applications
Print ISSN 0898-1221
Publisher Elsevier
Peer Reviewed Peer Reviewed
Volume 132
Pages 145-160


This file is under embargo until Jan 4, 2024 due to copyright restrictions.

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