Statistical Mechanics of an Elastically Pinned Membrane: Equilibrium Dynamics and Power Spectrum.

ABSTRACT: In biological settings, membranes typically interact locally with other membranes: the extracellular matrix in the exterior or internal cellular structures such as the cytoskeleton, locally pinning the membrane. Characterizing the dynamical properties of such interactions presents a difficult task. Significant progress has been achieved through simulations and experiments, yet analytical progress in modeling pinned membranes has been impeded by the complexity of governing equations. Here, we circumvent these difficulties by calculating analytically the time-dependent Green's function of the operator governing the dynamics of an elastically pinned membrane in a hydrodynamic surrounding and subject to external forces. This enables us to calculate the equilibrium power spectral density for an

SUBMITTER: Janes JA 

PROVIDER: S-EPMC6698198 | biostudies-literature | 2019 Aug

REPOSITORIES: biostudies-literature