Cells imbedded in biopolymer gels are important components of tissue engineering models and cancer tumor microenvironments. In both these cases, contraction of cells attached to the gel is an important phenomenon, and the nonlinear nature of most biopolymers (such as collagen) makes understanding the mechanics of the contraction a challenging problem. Here, we investigate a unique feature of such systems: a point source of contraction leads to substantial deformation of the environment, but large strains and large alignment of the fibers of the gel are confined to a small region surrounding the source. For fibroblasts in collagen-I, we estimate that the radius of this region is of order 90 μ. We investigate this idea using continuum estimates and a finite element code, and we point out experimental manifestations of the effect.
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July 2013
Research-Article
Alignment Localization in Nonlinear Biological Media
Leonard M. Sander
Leonard M. Sander
Professor of Physics & Complex Systems,
Randall Laboratory,
Department of Physics,
e-mail: lsander@umich.edu
Randall Laboratory,
Department of Physics,
University of Michigan
,Ann Arbor, MI 48109
e-mail: lsander@umich.edu
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Leonard M. Sander
Professor of Physics & Complex Systems,
Randall Laboratory,
Department of Physics,
e-mail: lsander@umich.edu
Randall Laboratory,
Department of Physics,
University of Michigan
,Ann Arbor, MI 48109
e-mail: lsander@umich.edu
Contributed by the Bioengineering Division of ASME for publication in the JOURNAL OF BIOMECHANICAL ENGINEERING. Manuscript received December 13, 2012; final manuscript received April 3, 2013; accepted manuscript posted April 13, 2013; published online June 11, 2013. Assoc. Editor: Edward Sander.
J Biomech Eng. Jul 2013, 135(7): 071006 (5 pages)
Published Online: June 11, 2013
Article history
Received:
December 13, 2012
Revision Received:
April 3, 2013
Accepted:
April 13, 2013
Citation
Sander, L. M. (June 11, 2013). "Alignment Localization in Nonlinear Biological Media." ASME. J Biomech Eng. July 2013; 135(7): 071006. https://doi.org/10.1115/1.4024199
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