Weakly nonlinear rheology of transiently crosslinked biopolymer gels

Details Weakly nonlinear rheology of transiently crosslinked biopolymer gels Weakly nonlinear rheology of transiently crosslinked biopolymer gels

2010-10-29

arxiv.org/abs/1010.6264v1

Physics

Condensed Matter

Soft Condensed Matter

Scientific paper

Recent experimental investigations have revealed a non-Maxwellian absorption pattern in the rheological spectra of actin gels, which was interpreted in terms of transient bonds. Here we examine the consequences of reversible crosslinking on the apparent linear spectra of biopolymer solutions theoretically. For a schematic model consisting of a reversibly crosslinked power-law fluid we obtain a simple analytical prediction for the position of the absorption peak, which is backed up by a numerical evaluation of the inelastic glassy wormlike chain model. This establishes bond breaking as a nonlinear non-equilibrium effect that can already be significant for very small driving amplitudes. Our results may be useful for inferring binding affinities and reaction rates of biochemical crosslinkers from rheological measurements of {\it in-vitro} reconstituted cytoskeletal gels.

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