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Model for Dynamic Shear Modulus of Semiflexible Polymer Solutions

Published online by Cambridge University Press:  15 February 2011

F. Gittes ,
B. Schnurr ,
C. F. Schmidt ,
P. D. Olmsted  and
F. C. Mackintosh
F. Gittes
Affiliation:
Department of Physics & Biophysics Research Division, University of Michigan, Ann Arbor, MI 48109
B. Schnurr
Affiliation:
Department of Physics & Biophysics Research Division, University of Michigan, Ann Arbor, MI 48109
C. F. Schmidt
Affiliation:
Department of Physics & Biophysics Research Division, University of Michigan, Ann Arbor, MI 48109
P. D. Olmsted
Affiliation:
Department of Physics, University of Leeds, Leeds, LS2 9JT, United Kingdom
F. C. Mackintosh
Affiliation:
Department of Physics & Biophysics Research Division, University of Michigan, Ann Arbor, MI 48109
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Abstract

We discuss a dynamical model for the frequency-dependent shear modulus of an entangled solution of semifexible polymers, based on longitudinal fluctuations in filaments between entanglement points or crosslinks. The goal is to explain non-Rouse, power-law scaling of the bulk shear modulus that is found via microscopic rheology of highly entangled F-actin solutions. This generalizes a previous model for the static modulus. Hydrodynamic effects, and the validity of a local drag approximation below the scale of the mesh size, are discussed. We test aspects of our model via a molecular dynamics simulation, and also present for comparison experimental results from microrheology on F-actin.

Type
Research Article
Information
MRS Online Proceedings Library (OPL) , Volume 489: Symposium K – Materials Science of the Cell , 1997 , 49
Copyright
Copyright © Materials Research Society 1998

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