Brownian motion near an elastic cell membrane: A theoretical study

Abstract

Elastic confinements are an important component of many biological systems and dictate the transport properties of suspended particles under flow. In this chapter, 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.

16 pages, 7 figures and 161 references. Contributed chapter to the flowing matter book

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Cited by in corpus (11)

• State diagram of a three-sphere microswimmer in a channel
• A reciprocal theorem for the prediction of the normal force induced on a particle translating parallel to an elastic membrane
• Frequency-dependent higher-order Stokes singularities near a planar elastic boundary: implications for the hydrodynamics of an active microswimmer near an elastic interface
• Hydrodynamic coupling and rotational mobilities near planar elastic membranes
• Creeping motion of a solid particle inside a spherical elastic cavity
• Creeping motion of a solid particle inside a spherical elastic cavity. II. Asymmetric motion
• Axisymmetric Stokes flow due to a point-force singularity acting between two coaxially positioned rigid no-slip disks
• Theory of active particle penetration through a planar elastic membrane
• Asymmetric Stokes flow induced by a transverse point-force acting near a finite-sized elastic membrane
• A note on forces exerted by a Stokeslet on confining boundaries
• Dynamics of a simple model microswimmer in an anisotropic fluid: implications for alignment behavior and active transport in a nematic liquid crystal