Issue 11, 2011
From the journal:

Soft Matter

Membrane surrounded by viscoelastic continuous media: anomalous diffusion and linear response to force

Rony Granek*a  

* Corresponding authors

a The Stella and Avram Goren-Goldstein Department of Biotechnology Engineering, the Ilse Katz Institute for Meso and Nanoscale Science and Technology, the Reimund Stadler Minerva Center for Mesoscale Macromolecular Engineering, Ben-Gurion University of The Negev, Beer Sheva, Israel
E-mail: rgranek@bgu.ac.il

Abstract

We study the dynamics of a nearly flat membrane bilayer that is surrounded by two semi-infinite viscoelastic fluids, and its response to local transverse forces. By modeling the surrounding fluids as continuous media with frequency dependent shear moduli G1(ω) and G2(ω) we derive the dispersion relation for undulations. We deduce the frequency-dependent transverse mean square displacement of a membrane segment and find that it is proportional to κ−1/3[G1(ω) + G2(ω)]−2/3, where κ is the membrane bending modulus. We then consider the linear response of a membrane to external forces. Possible implications are elucidated for experiments probing the viscoelasticity of cells and vesicles encapsulating and/or embedded in viscoelastic fluids, for the dynamic structure factor of such systems, and for lamellipodia dynamics.

Graphical abstract: Membrane surrounded by viscoelastic continuous media: anomalous diffusion and linear response to force

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Article information

DOI
https://doi.org/10.1039/C0SM01271H
Article type
Paper
Submitted
08 Nov 2010
Accepted
15 Feb 2011
First published
30 Mar 2011

Soft Matter, 2011,7, 5281-5289

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Membrane surrounded by viscoelastic continuous media: anomalous diffusion and linear response to force

R. Granek, Soft Matter, 2011, 7, 5281 DOI: 10.1039/C0SM01271H

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