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RESEARCH PAPERS

Deformation Analyses in Cell and Developmental Biology. Part I—Formal Methodology

[+] Author and Article Information
L. Y. Cheng

Civil Engineering Department, University of California, Berkeley, Berkeley, Calif. 94720

J Biomech Eng 109(1), 10-17 (Feb 01, 1987) (8 pages) doi:10.1115/1.3138634 History: Received July 28, 1986; Revised November 19, 1986; Online June 12, 2009

Abstract

This study presents a computational approach for the deformation analyses of problems in cell and developmental biology. Cells and embryos are viewed mechanically as axisymmetric shell-like bodies containing a body of incompressible material. The analysis approach is based on the finite element method. It is comprised of three finite element ingredients: (1) an axisymmetric shell/membrane element valid for modeling finite bending, shearing and stretching; (2) a volume constraint algorithm for modeling the membrane-bound incompressible material; and (3) a contact algorithm for modeling the mechanical interactions between deformable bodies. Part II of this study will demonstrate how these three ingredients can be applied to analyze mechanical experiments on cells. This same method is also useful for simulating embryonic shape changes during development.

Copyright © 1987 by ASME
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