Title
The micromechanics of three-dimensional collagen-I gels
Abstract
We study the micromechanics of collagen-I gel with the goal of bridging the gap between theory and experiment in the study of biopolymer networks. Three-dimensional images of fluorescently labeled collagen are obtained by confocal microscopy, and the network geometry is extracted using a 3D network skeletonization algorithm. Each fiber is modeled as an elastic beam that resists stretching and bending, and each crosslink is modeled as torsional spring. The stress–strain curves of networks at three different densities are compared with rheology measurements. The model shows good agreement with experiment, confirming that strain stiffening of collagen can be explained entirely by geometric realignment of the network, as opposed to entropic stiffening of individual fibers. The model also suggests that at small strains, crosslink deformation is the main contributer to network stiffness, whereas at large strains, fiber stretching dominates. As this modeling effort uses networks with realistic geometries, this analysis can ultimately serve as a tool for understanding how the mechanics of fibers and crosslinks at the microscopic level produce the macroscopic properties of the network. © 2010 Wiley Periodicals, Inc. Complexity 16: 22-28, 2011 © 2011 Wiley Periodicals, Inc.
Year
DOI
Venue
2011
10.1002/cplx.20332
Complexity
Keywords
Field
DocType
individual fiber,network stiffness,wiley periodicals,three-dimensional collagen-i gel,large strain,small strain,inc. complexity,biopolymer network,network geometry,crosslink deformation,network skeletonization algorithm,materials science,worm like chain,confocal microscopy,three dimensional
Nanotechnology,Composite material,Stiffening,Micromechanics,Fiber,Stiffness,Control theory,Bridging (networking),Rheology,Bending,Deformation (mechanics),Mathematics
Journal
Volume
Issue
ISSN
16
4
1076-2787
Citations 
PageRank 
References 
2
0.49
1
Authors
4
Name
Order
Citations
PageRank
Andrew M. Stein130.87
David A. Vader231.12
David A. Weitz391.70
Leonard M. Sander4132.68