Pajic-Lijakovic Ivana, Milivojevic Milan
Faculty of Technology and Metallurgy, University of Belgrade, Karnegijeva 4, 11120 , Belgrade, Serbia,
Biomech Model Mechanobiol. 2014 Oct;13(5):1097-104. doi: 10.1007/s10237-014-0559-7. Epub 2014 Feb 19.
Studies of thermal fluctuations in discocytes, echinocytes, and spherocytes suggest that the coupling between lipid bilayer and cytoskeleton can affect viscoelastic behavior of single erythrocyte membranes. To test this hypothesis, we developed a 3D constitutive model describing viscoelastic behavior of erythrocyte membranes, at long relaxation times [Formula: see text] and short relaxation times [Formula: see text]. The model was constructed using combination of spring and spring pot rheological elements arranged in parallel. The rearrangement of cytoskeleton induced by changing the bending state of lipid bilayer was described by a modified Eyring model. The model predictions point to an anomalous nature of energy dissipation and an ordered harmonic nature of the coupling mechanism described by a series of fractional derivatives of the order n [Formula: see text] (where [Formula: see text]). As a result, the stress generated within the lipid bilayer is related to the rate of change of the irreversible stress within the cytoskeleton.
对双凹圆盘状红细胞、棘状红细胞和球形红细胞热涨落的研究表明，脂质双层与细胞骨架之间的耦合作用会影响单个红细胞膜的粘弹性行为。为验证这一假设，我们建立了一个三维本构模型，用于描述红细胞膜在长弛豫时间[公式：见原文]和短弛豫时间[公式：见原文]下的粘弹性行为。该模型采用并联排列的弹簧和弹簧壶流变元件组合构建而成。脂质双层弯曲状态变化引起的细胞骨架重排由修正的艾林模型描述。模型预测结果表明，能量耗散具有反常特性，耦合机制具有由一系列n阶[公式：见原文]（其中[公式：见原文]）分数阶导数描述的有序谐波特性。因此，脂质双层内产生的应力与细胞骨架内不可逆应力的变化率相关。
