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      Motion of objects embedded in lipid bilayer membranes: advection and effective viscosity

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          Abstract

          An interfacial regularized Stokeslet scheme is presented to predict the motion of solid bodies (e.g. proteins or gel-phase domains) embedded within flowing lipid bilayer membranes. The approach provides a numerical route to calculate velocities and angular velocities in complex flow fields that are not amenable to simple Fax\'en-like approximations. Additionally, when applied to shearing motions, the calculations yield predictions for the effective surface viscosity of dilute rigid body-laden membranes. In the case of cylindrical proteins, effective viscosity calculations are compared to two prior analytical predictions from the literature. Effective viscosity predictions for a dilute suspension of rod-shaped objects in the membrane are also presented.

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          Author and article information

          Journal
          04 September 2019
          Article
          1909.02066

          http://arxiv.org/licenses/nonexclusive-distrib/1.0/

          Custom metadata
          physics.bio-ph cond-mat.soft physics.chem-ph

          Condensed matter, Physical chemistry, Biophysics

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