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Brownian motion near an elastic cell membrane: A theoretical study

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Abstract.

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this paper, we review the Brownian motion of a particle moving in the vicinity of a living cell whose membrane is endowed with a resistance towards shear and bending. The analytical calculations proceed through the computation of the frequency-dependent mobility functions and the application of the fluctuation-dissipation theorem. Elastic interfaces endow the system with memory effects that lead to a long-lived anomalous subdiffusive regime of nearby particles. In the steady limit, the diffusional behavior approaches that near a no-slip hard wall. The analytical predictions are validated and supplemented with boundary-integral simulations.

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Authors and Affiliations

  1. Institut für Theoretische Physik II: Weiche Materie, Heinrich-Heine-Universität Düsseldorf, Universitätsstraße 1, 40225, Düsseldorf, Germany

    Abdallah Daddi-Moussa-Ider

  2. Biofluid Simulation and Modeling, Fachbereich Physik, Universität Bayreuth, Universitätsstraße 30, 95440, Bayreuth, Germany

    Abdallah Daddi-Moussa-Ider & Stephan Gekle

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  1. Abdallah Daddi-Moussa-Ider
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Daddi-Moussa-Ider, A., Gekle, S. Brownian motion near an elastic cell membrane: A theoretical study. Eur. Phys. J. E 41, 19 (2018). https://doi.org/10.1140/epje/i2018-11627-6

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