红细胞膜的黏弹性行为
Viscoelastic behavior of erythrocyte membrane.
作者信息
Tözeren A, Skalak R, Sung K L, Chien S
出版信息
Biophys J. 1982 Jul;39(1):23-32. doi: 10.1016/S0006-3495(82)84486-X.
A nonlinear viscoelastic relation is developed to describe the viscoelastic properties of erythrocyte membrane. This constitutive equation is used in the analysis of the time-dependent aspiration of an erythrocyte membrane into a micropipette. Equations governing this motion are reduced to a nonlinear integral equation of the Volterra type. A numerical procedure based on a finite difference scheme is used to solve the integral equation and to match the experimental data. The data, aspiration length vs. time, is used to determine the relaxation function at each time step. The inverse problem of obtaining the time dependence of the aspiration length from a given relaxation function is also solved. Analytical results obtained are applied to the experimental data of Chien et al. 1978. Biophys. J. 24:463-487. A relaxation function similar to that of a four-parameter solid with a shear-thinning viscous term is proposed.
建立了一种非线性粘弹性关系来描述红细胞膜的粘弹性特性。该本构方程用于分析红细胞膜随时间进入微量移液器的抽吸过程。控制该运动的方程被简化为一个沃尔泰拉型非线性积分方程。使用基于有限差分格式的数值方法来求解积分方程并与实验数据匹配。抽吸长度与时间的数据用于确定每个时间步的松弛函数。还解决了从给定松弛函数获取抽吸长度时间依赖性的反问题。所获得的分析结果应用于钱等人1978年的实验数据。《生物物理杂志》24:463 - 487。提出了一种类似于具有剪切变稀粘性项的四参数固体的松弛函数。
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