Jump to main content
Jump to site search

Issue 10, 2009
Previous Article Next Article

A unit-cell approach to the nonlinear rheology of biopolymer solutions

Author affiliations

Abstract

We propose a nonlinear extension of the standard tube model for semidilute solutions of freely-sliding semiflexible polymers. Non-affine filament deformations at the entanglement scale, the renormalisation of direct interactions by thermal fluctuations, and the geometry of large deformations are systematically taken into account. The stiffening response predicted for athermal solutions of stiff rods1 is found to be thermally suppressed. Instead, we obtain a broad linear response regime, supporting the interpretation of shear stiffening at finite frequencies in polymerised actin solutions2,3 as indicative of coupling to longitudinal modes. We observe a destabilizing effect of large strains (∼100%), suggesting shear banding as a plausible explanation for the widely observed catastrophic collapse of in vitrobiopolymer solutions, usually attributed to network damage. In combination with friction-type interactions, our analysis provides an analytically tractable framework to address the nonlinear viscoplasticity of biological tissue on a molecular basis.

Graphical abstract: A unit-cell approach to the nonlinear rheology of biopolymer solutions

Back to tab navigation

Article information


Submitted
22 Sep 2008
Accepted
05 Mar 2009
First published
31 Mar 2009

Soft Matter, 2009,5, 2047-2056
Article type
Paper

A unit-cell approach to the nonlinear rheology of biopolymer solutions

P. Fernández, S. Grosser and K. Kroy, Soft Matter, 2009, 5, 2047
DOI: 10.1039/B816510F

Social activity

Search articles by author

Spotlight

Advertisements