help button home button Biophys. J.
HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH
Biophys. J. BioFAST: First Published December 13, 2004. doi:10.1529/biophysj.104.040808
© 2004 by the Biophysical Society.

A more recent version of this article appeared on February 1, 2005.
This Article
Right arrow Full Text (Rapid PDF)
Right arrow All Versions of this Article:
biophysj.104.040808v1
88/2/765    most recent
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Similar articles in this journal
Right arrow Similar articles in PubMed
Right arrow Alert me to new issues of the journal
Right arrow Download to citation manager
Right arrow Author home page(s):
Juan Pablo Marquez
Guy M Genin
George I Zahalak
Elliot L Elson
Right arrow reprints & permissions
Citing Articles
Right arrow Citing Articles via HighWire
Right arrow Citing Articles via Google Scholar
Google Scholar
Right arrow Articles by Marquez, J. P.
Right arrow Articles by Elson, E. L
Right arrow Search for Related Content
PubMed
Right arrow PubMed Citation
Right arrow Articles by Marquez, J. P.
Right arrow Articles by Elson, E. L

BIOPHYSICAL THEORY AND MODELING

Thin Bio-artificial Tissues in Plane Stress: the Relationship between Cell and Tissue Strain, and an Improved Constitutive Model

Juan Pablo Marquez 1*, Guy M Genin 1, George I Zahalak 1 and Elliot L Elson 1

1 Washington University in St. Louis

* To whom correspondence should be addressed. E-mail: pablo{at}me.wustl.edu.

Submitted on January 28, 2004
Revised on March 29, 2004
Accepted on 31 August 2004


  Abstract
Constitutive models are needed to relate the active and passive mechanical properties of cells to the overall mechanical response of bio-artificial tissues. The Zahalak model (Zahalak et al., 2000) attempts to explicitly describe this link for a class of bio-artificial tissues. A fundamental assumption made by Zahalak is that cells stretch in perfect registry with a tissue. We show this assumption to be valid only for special cases, and we correct the Zahalak model accordingly. We focus on short-term and very long-term behavior, and therefore consider tissue constituents that are linear in their loading response (although not necessarily linear in unloading.) In such cases, the average strain in a cell is related to the macroscopic tissue strain by a scalar we call the "strain factor." We incorporate a model predicting the strain factor into the Zahalak model, and then re-interpret experiments reported in Zahalak et al. (2000) to determine the in situ stiffness of cells in a tissue construct. We find that, without the modification in this paper, the Zahalak model can under-predict cell stiffness by an order of magnitude.

Key Words: bio-artificial tissues constructs, cell mechanics, constitutive model, finite element analysis, percolation




This article has been cited by other articles:


Home page
 Biophys. JHome page
L. D. Black, P. G. Allen, S. M. Morris, P. J. Stone, and B. Suki
Mechanical and Failure Properties of Extracellular Matrix Sheets as a Function of Structural Protein Composition
Biophys. J., March 1, 2008; 94(5): 1916 - 1929.
[Abstract] [Full Text] [PDF]

Home page
 Biophys. JHome page
P. Panorchan, J. S. H. Lee, T. P. Kole, Y. Tseng, and D. Wirtz
Microrheology and ROCK Signaling of Human Endothelial Cells Embedded in a 3D Matrix
Biophys. J., November 1, 2006; 91(9): 3499 - 3507.
[Abstract] [Full Text] [PDF]

Home page
 Biophys. JHome page
J. P. Marquez, G. M. Genin, G. I. Zahalak, and E. L. Elson
The Relationship between Cell and Tissue Strain in Three-Dimensional Bio-Artificial Tissues
Biophys. J., February 1, 2005; 88(2): 778 - 789.
[Abstract] [Full Text] [PDF]


HOME HELP FEEDBACK SUBSCRIPTIONS ARCHIVE SEARCH
Copyright © 2004 by the Biophysical Society.