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Constitutive modeling of the stress–strain behavior of F-actin filament networks

Paper ID Volume ID Publish Year Pages File Format Full-Text
2318 108 2008 16 PDF Available
Title
Constitutive modeling of the stress–strain behavior of F-actin filament networks
Abstract

The central role of the cytoskeleton in both healthy and diseased cellular functions makes it a compelling subject for detailed three-dimensional (3D) micromechanical modeling. Microstructural features of the cytoskeleton govern the cell’s mechanical behavior in many of the regulating cellular functions including cell division, adhesion, spreading, migration, contraction, and other mechanotransductive effects which influence biochemical processes. Actin microfilaments (AF) combine to form one of the predominant cytoskeletal networks important to these biological processes.Here, the AF cytoskeletal microstructure and stress-strain behavior is modeled via a microstructurally-informed continuum mechanics approach. The force-extension behavior of the individual filaments is captured using the MacKintosh derivation of the worm-like chain (WLC) constitutive relationship for short chains where a new and direct analytical expression for the filament force as a function of filament extension is developed in this paper. The filament force-extension behavior is then used in conjunction with the Arruda-Boyce eight-chain network model to capture the 3D multiaxial stress-strain behavior of the network. The resulting 3D cytoskeletal network constitutive model provides the ability to track microstructural stretch and orientation states during 3D macroscopic stretching conditions. The non-affine nature of the network model effectively accommodates the imposed macroscopic shear strain through filament rotation and a relatively small amount of filament stretch. These characteristics enable the network model, using physically realistic material properties, to capture the initial stiffness of the AF network as well as the nonlinear strain stiffening observed at large stresses. The network model predictions compare favorably with published microrheological data of in vitro AF networks.

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Constitutive modeling of the stress–strain behavior of F-actin filament networks
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Publisher
Database: Elsevier - ScienceDirect
Journal: Acta Biomaterialia - Volume 4, Issue 3, May 2008, Pages 597–612
Authors
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Subjects
Physical Sciences and Engineering Chemical Engineering Bioengineering
Get Full-Text Now
Don't Miss Today's Special Offer
Price was $35.95
You save - $31
Price after discount Only $4.95
100% Money Back Guarantee
Full-text PDF Download
Online Support
Any Questions? feel free to contact us