Analytical Solutions for Shear Deformation and Flow of Red Cell Membrane

[+] Author and Article Information
R. M. Hochmuth, D. A. Berk

Biomedical Engineering Department, Duke University, Durham, N.C. 27706

J Biomech Eng 106(1), 2-9 (Feb 01, 1984) (8 pages) doi:10.1115/1.3138452 History: Received April 10, 1983; Revised October 19, 1983; Online June 15, 2009


Studies of red blood cell deformation have shown that there are a number of membrane material properties that affect the deformation process. In this paper various types of deformation are modeled using geometrical and constitutive simplifications so that the effect of intrinsic elastic and viscous membrane properties and of major geometric constraints is made obvious while other factors are ignored. To this end, numerical solutions are shunned in favor of exact analytical (“closed-form”) solutions to simple and basic membrane deformation problems in order to reveal functional dependence.

Copyright © 1984 by ASME
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