An elastic network model based on the structure of the red blood cell membrane skeleton

被引:85
作者
Hansen, JC
Skalak, R
Chien, S
Hoger, A
机构
[1] UNIV CALIF SAN DIEGO, DEPT APPL MECH & ENGN SCI, DIV MECH ENGN, LA JOLLA, CA 92093 USA
[2] UNIV CALIF SAN DIEGO, DEPT BIOENGN, LA JOLLA, CA 92093 USA
基金
美国国家科学基金会;
关键词
D O I
10.1016/S0006-3495(96)79556-5
中图分类号
Q6 [生物物理学];
学科分类号
071011 ;
摘要
A finite element network model has been developed to predict the macroscopic elastic shear modulus and the area expansion modulus of the red blood cell (RBC) membrane skeleton on the basis of its microstructure. The topological organization of connections between spectrin molecules is represented by the edges of a random Delaunay triangulation, and the elasticity of an individual spectrin molecule is represented by the spring constant, K, for a linear spring element. The model network is subjected to deformations by prescribing nodal displacements on the boundary. The positions of internal nodes are computed by the finite element program. The average response of the network is used to compute the shear modulus (mu) and area expansion modulus (kappa) for the corresponding effective continuum. For networks with a moderate degree of randomness, this model predicts mu/K = 0.45 and kappa/K = 0.90 in Small deformations. These results are consistent with previous computational models and experimental estimates of the ratio mu/kappa This model also predicts that the elastic moduli vary by 20% or more in networks with varying degrees of randomness, In large deformations, mu increases as a cubic function of the extension ratio lambda(1), with mu/K = 0.62 when lambda(1) = 1.5.
引用
收藏
页码:146 / 166
页数:21
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