Effect of constitutive law on the erythrocyte membrane response to large strains.
Effect of constitutive law on the erythrocyte membrane response to large strains.
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构成法对红细胞膜对大应变反应的影响。
DOI：
10.1016/j.camwa.2022.12.009
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发表时间：
2023
期刊：
影响因子：
--
通讯作者：
Randles,Amanda
中科院分区：
文献类型：
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作者：
Pepona,Marianna;Gounley,John;Randles,Amanda
本文对常用于描述红细胞膜力学的三个本构定律Skalak、neo-Hookean和Yeoh定律进行了理论分析和数值研究，以评估它们在捕捉红细胞变形特征和形态方面的准确性。特别强调的是给予非线性变形制度，它是已知的，本构律之间的差异是最突出的。因此，本文考虑了光镊和微移液吸吸实验，通过对拉伸-变形关系的分析，建立了本构律中各剪切弹性模量之间的关系。所有的本构律被发现充分预测轴向和横向变形的红细胞受到拉伸与光镊恒定剪切弹性模量值。与Skalak定律相反，新hookean定律和Yeoh定律复制了红细胞膜折叠，这是实验观察到的，同时也保持了显著的面积变化。在固定剪切弹性模量下，只有考虑Yeoh定律，才能很好地预测吸痰压力-吸痰长度关系。重要的是，新hookean和Yeoh定律再现了在接近实验测量的吸力压力下膜起皱。在微移管抽吸情况下，所有本构律均不受膜面积可压缩性的影响。
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.