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Hydrodynamics of bilayer membranes with diffusing transmembrane proteins
- Source :
- Soft Matter, Soft Matter, Royal Society of Chemistry, 2016, 12, ⟨10.1039/c5sm02507a⟩
- Publication Year :
- 2016
- Publisher :
- Royal Society of Chemistry (RSC), 2016.
-
Abstract
- International audience; We consider the hydrodynamics of lipid bilayers containing transmembrane proteins of arbitrary shape. This biologically-motivated problem is relevant to the cell membrane, whose fluctuating dynamics play a key role in phenomena ranging from cell migration, intercellular transport, and cell communication. Using Onsager's variational principle, we derive the equations that govern the relaxation dynamics of the membrane shape, of the mass densities of the bilayer leaflets, and of the diffusing proteins' concentration. With our generic formalism, we obtain several results on membrane dynamics. We find that proteins that span the bilayer increase the intermonolayer friction coefficient. The renormalization, which can be significant, is in inverse proportion to the protein's mobility. Second, we find that asymmetric proteins couple to the membrane curvature and to the difference in monolayer densities. For practically all accessible membrane tensions (σ > 10 −8 N/m) we show that the protein density is the slowest relaxing variable. Furthermore, its relaxation rate decreases at small wavelengths due to the coupling to curvature. We apply our formalism to the large-scale diffusion of a concentrated protein patch. We find that the diffusion profile is not self-similar, owing to the wavevector dependence of the effective diffusion coefficient.
- Subjects :
- 0301 basic medicine
Lipid Bilayers
FOS: Physical sciences
Condensed Matter - Soft Condensed Matter
Curvature
01 natural sciences
Quantitative Biology::Cell Behavior
Quantitative Biology::Subcellular Processes
Cell membrane
03 medical and health sciences
Variational principle
Tensile Strength
0103 physical sciences
medicine
010306 general physics
Lipid bilayer
membrane
Physics
Physics::Biological Physics
Quantitative Biology::Biomolecules
Intercellular transport
Bilayer
diffusion
Membrane Proteins
General Chemistry
Models, Theoretical
Condensed Matter Physics
proteins
030104 developmental biology
Membrane
medicine.anatomical_structure
Membrane curvature
Chemical physics
Hydrodynamics
Soft Condensed Matter (cond-mat.soft)
[PHYS.COND.CM-SCM]Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]
Subjects
Details
- ISSN :
- 17446848 and 1744683X
- Volume :
- 12
- Database :
- OpenAIRE
- Journal :
- Soft Matter
- Accession number :
- edsair.doi.dedup.....1b1782c238644e529cc2edbd598adb99
- Full Text :
- https://doi.org/10.1039/c5sm02507a