In addition to their obvious biological roles in tissue function, cells often play a significant mechanical role through a combination of passive and active behaviors. This study focused on the passive mechanical contribution of cells in tissues by improving our multiscale model via the addition of cells, which were treated as dilute spherical inclusions. The first set of simulations considered a rigid cell, with the surrounding ECM modeled as (1) linear elastic, (2) Neo-Hookean, and (3) a fiber network. Comparison with the classical composite theory for rigid inclusions showed close agreement at low cell volume fraction. The fiber network case exhibited nonlinear stress–strain behavior and Poisson's ratios larger than the elastic limit of 0.5, characteristics similar to those of biological tissues. The second set of simulations used a fiber network for both the cell (simulating cytoskeletal filaments) and matrix, and investigated the effect of varying relative stiffness between the cell and matrix, as well as the effect of a cytoplasmic pressure to enforce incompressibility of the cell. Results showed that the ECM network exerted negligible compression on the cell, even when the stiffness of fibers in the network was increased relative to the cell. Introduction of a cytoplasmic pressure significantly increased the stresses in the cell filament network, and altered how the cell changed its shape under tension. Findings from this study have implications on understanding how cells interact with their surrounding ECM, as well as in the context of mechanosensation.
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July 2013
Research-Article
A Multiscale Approach to Modeling the Passive Mechanical Contribution of Cells in Tissues
Victor K. Lai,
Victor K. Lai
Department of Chemical Engineering and Materials Science,
University of Minnesota–Twin Cities
,421 Washington Avenue Southeast
,Minneapolis, MN 55455
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Mohammad F. Hadi,
Mohammad F. Hadi
Department of Biomedical Engineering,
University of Minnesota–Twin Cities
,7-105 Nils Hasselmo Hall
,312 Church Street Southeast
,Minneapolis, MN 55455
Search for other works by this author on:
Robert T. Tranquillo,
Robert T. Tranquillo
Department of Chemical Engineering and Materials Science,
Department of Biomedical Engineering,
7-105 Nils Hasselmo Hall,
312 Church Street Southeast,
Minneapolis, MN 55455
University of Minnesota–Twin Cities
,421 Washington Avenue Southeast
,Minneapolis, MN 55455
;Department of Biomedical Engineering,
University of Minnesota–Twin Cities
,7-105 Nils Hasselmo Hall,
312 Church Street Southeast,
Minneapolis, MN 55455
Search for other works by this author on:
Victor H. Barocas
Victor H. Barocas
1
Department of Biomedical Engineering,
e-mail: baroc001@umn.edu
University of Minnesota–Twin Cities
,7-105 Nils Hasselmo Hall
,312 Church Street Southeast
,Minneapolis, MN 55455
e-mail: baroc001@umn.edu
1Corresponding author.
Search for other works by this author on:
Victor K. Lai
Department of Chemical Engineering and Materials Science,
University of Minnesota–Twin Cities
,421 Washington Avenue Southeast
,Minneapolis, MN 55455
Mohammad F. Hadi
Department of Biomedical Engineering,
University of Minnesota–Twin Cities
,7-105 Nils Hasselmo Hall
,312 Church Street Southeast
,Minneapolis, MN 55455
Robert T. Tranquillo
Department of Chemical Engineering and Materials Science,
Department of Biomedical Engineering,
7-105 Nils Hasselmo Hall,
312 Church Street Southeast,
Minneapolis, MN 55455
University of Minnesota–Twin Cities
,421 Washington Avenue Southeast
,Minneapolis, MN 55455
;Department of Biomedical Engineering,
University of Minnesota–Twin Cities
,7-105 Nils Hasselmo Hall,
312 Church Street Southeast,
Minneapolis, MN 55455
Victor H. Barocas
Department of Biomedical Engineering,
e-mail: baroc001@umn.edu
University of Minnesota–Twin Cities
,7-105 Nils Hasselmo Hall
,312 Church Street Southeast
,Minneapolis, MN 55455
e-mail: baroc001@umn.edu
1Corresponding author.
Contributed by the Bioengineering Division of ASME for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received January 17, 2013; final manuscript received April 16, 2013; accepted manuscript posted April 30, 2013; published online June 11, 2013. Assoc. Editor: Keith Gooch.
J Biomech Eng. Jul 2013, 135(7): 071007 (9 pages)
Published Online: June 11, 2013
Article history
Received:
January 17, 2013
Revision Received:
April 16, 2013
Accepted:
April 30, 2013
Citation
Lai, V. K., Hadi, M. F., Tranquillo, R. T., and Barocas, V. H. (June 11, 2013). "A Multiscale Approach to Modeling the Passive Mechanical Contribution of Cells in Tissues." ASME. J Biomech Eng. July 2013; 135(7): 071007. https://doi.org/10.1115/1.4024350
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