Dresden 2017 – scientific programme

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BP: Fachverband Biologische Physik

BP 48: Membranes and Vesicles II

BP 48.9: Talk

Thursday, March 23, 2017, 12:15–12:30, HÜL 386

Hydrodynamic interactions nearby elastic cell membranes — •Abdallah Daddi-Moussa-Ider, Achim Guckenberger, and Stephan Gekle — Biofluid Simulation and Modeling, Universität Bayreuth, Universitätsstraße 30, Bayreuth 95440, Germany

We present an analytical calculation of the hydrodynamic interaction between two spherical particles moving nearby an elastic cell whose membrane is endowed with a resistance towards shearing and bending. The theory predicts the frequency-dependent self- and pair-mobility functions up to the fifth order of the ratio between particle radius and membrane distance as well as between radius and interparticle distance. We find that the steady motion of two particles towards a planar elastic membrane possessing only shearing resistance leads to attractive interaction in contrast to the hard-wall case where the interaction is known to be repulsive. We further compute the mobility function of a particle moving perpendicular to the surface of a spherical capsule, finding that membrane curvature leads to the appearance of a prominent additional peak in the mobility caused by shear resistance. In the vanishing frequency limit, the particle mobility near a no-slip hard-sphere is recovered only when the membrane possesses a non-vanishing resistance towards shearing. Our analytical predictions are compared with boundary-integral simulations where an excellent agreement is obtained.

Reference

Daddi-Moussa-Ider, A. and Gekle, S., J. Chem. Phys., 145, 014905 (2016)