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

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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.

Original languageEnglish
Pages (from-to)5281-5289
Number of pages9
JournalSoft Matter
Volume7
Issue number11
DOIs
StatePublished - 7 Jun 2011

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