English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We consider the hydrodynamics of lipid bilayers containing transmembraneproteins of arbitrary shape. This biologically-motivated problem is relevant tothe cell membrane, whose fluctuating dynamics play a key role in phenomenaranging from cell migration, intercellular transport, and cell communication.Using Onsager's variational principle, we derive the equations that govern therelaxation dynamics of the membrane shape, of the mass densities of the bilayerleaflets, and of the diffusing proteins' concentration. With our genericformalism, we obtain several results on membrane dynamics. We find thatproteins that span the bilayer increase the intermonolayer frictioncoefficient. The renormalization, which can be significant, is in inverseproportion to the protein's mobility. Second, we find that asymmetric proteinscouple to the membrane curvature and to the difference in monolayer densities.For practically all accessible membrane tensions ($\sigma> 10^{-8}$ N/m) weshow that the protein density is the slowest relaxing variable. Furthermore,its relaxation rate decreases at small wavelengths due to the coupling tocurvature. We apply our formalism to the large-scale diffusion of aconcentrated protein patch. We find that the diffusion profile is notself-similar, owing to the wavevector dependence of the effective diffusioncoefficient.

Hydrodynamics of bilayer membranes with diffusing transmembrane proteins