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.
Skip Nav Destination
Article navigation
February 1987
Research Papers
Deformation Analyses in Cell and Developmental Biology. Part I—Formal Methodology
L. Y. Cheng
L. Y. Cheng
Civil Engineering Department, University of California, Berkeley, Berkeley, Calif. 94720
Search for other works by this author on:
L. Y. Cheng
Civil Engineering Department, University of California, Berkeley, Berkeley, Calif. 94720
J Biomech Eng. Feb 1987, 109(1): 10-17 (8 pages)
Published Online: February 1, 1987
Article history
Received:
July 28, 1986
Revised:
November 19, 1986
Online:
June 12, 2009
Citation
Cheng, L. Y. (February 1, 1987). "Deformation Analyses in Cell and Developmental Biology. Part I—Formal Methodology." ASME. J Biomech Eng. February 1987; 109(1): 10–17. https://doi.org/10.1115/1.3138634
Download citation file:
Get Email Alerts
Aged Tendons Exhibit Altered Mechanisms of Strain-Dependent Extracellular Matrix Remodeling
J Biomech Eng (July 2024)
Influence of Breath-Mimicking Ventilated Incubation on Three-Dimensional Bioprinted Respiratory Tissue Scaffolds
J Biomech Eng (September 2024)
Related Articles
Deformation Analyses in Cell and Developmental Biology. Part II—Mechanical Experiments on Cells
J Biomech Eng (February,1987)
Effect of Contact Conditions on Void Coalescence at Low Stress Triaxiality Shearing
J. Appl. Mech (March,2012)
Harmonic Convergence Estimation Through Strain Energy Superconvergence
J. Eng. Gas Turbines Power (October,2016)
A Transversely Isotropic Viscoelastic Constitutive Equation for Brainstem Undergoing Finite Deformation
J Biomech Eng (December,2006)
Related Proceedings Papers
Related Chapters
Crack(s) in a Rod or a Plate by Energy Rate Analysis
The Stress Analysis of Cracks Handbook, Third Edition
Openings
Guidebook for the Design of ASME Section VIII Pressure Vessels
Subsection NB—Class 1 Components
Companion Guide to the ASME Boiler and Pressure Vessel Code, Volume 1, Fourth Edition