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

Journal article


Publication Details

Author(s): Janeš JA, Schmidt D, Blackwell R, Seifert U, Smith AS
Journal: Biophysical Journal
Publication year: 2019
ISSN: 0006-3495
eISSN: 1542-0086


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 overdamped membrane pinned by an elastic, permanently attached spring subject to thermal excitations. By considering the effects of the finite experimental resolution on the measured spectra, we show that the elasticity of the pinning can be extracted from the experimentally measured spectrum. Membrane fluctuations can thus be used as a tool to probe mechanical properties of the underlying structures. Such a tool may be particularly relevant in the context of cell mechanics, in which the elasticity of the membrane's attachment to the cytoskeleton could be measured.


FAU Authors / FAU Editors

Blackwell, Robert, Ph.D.
Professur für Theoretische Physik
Janeš, Josip Augustin
Physics Underlying Life Science
Schmidt, Daniel
Physics Underlying Life Science
Smith, Ana-Suncana Prof. Dr.
Physics Underlying Life Science


External institutions with authors

Universität Stuttgart


How to cite

APA:
Janeš, J.A., Schmidt, D., Blackwell, R., Seifert, U., & Smith, A.-S. (2019). Statistical Mechanics of an Elastically Pinned Membrane: Equilibrium Dynamics and Power Spectrum. Biophysical Journal. https://dx.doi.org/10.1016/j.bpj.2019.06.036

MLA:
Janeš, Josip Augustin, et al. "Statistical Mechanics of an Elastically Pinned Membrane: Equilibrium Dynamics and Power Spectrum." Biophysical Journal (2019).

BibTeX: 

Last updated on 2019-17-08 at 07:11