410 research outputs found
Shape Fluctuations of a Droplet Containing a Polymer
We consider the problem of an ideal polymer confined in a droplet. When the
droplet radius is smaller than the (unconfined) polymer radius of gyration, the
polymer entropy will depend on the droplet shape. We compute the resulting
surface free energy. Using parameters appropriate for polymers confined in
microemulsions, we find that the polymer and bending surface energies are
comparable for the lowest modes. Finally, we argue that chain self-avoidance
will decrease the strength of the polymer contribution to the surface energy.Comment: Revtex, 12 pages, one figur
Fluctuation-Induced Interactions between Rods on Membranes and Interfaces
We consider the interaction between two rods embedded in a fluctuating
surface which is governed by either surface tension or rigidity. The
modification of fluctuations by the rods leads to an attractive long-range
interaction that falls off as with their separation. The orientational
dependence of the resulting interaction is non-trivial and may lead to
interesting patterns of rod-like objects on such surfaces.Comment: Revtex, 10 pages, one figur
Budding and vesiculation induced by conical membrane inclusions
Conical inclusions in a lipid bilayer generate an overall spontaneous
curvature of the membrane that depends on concentration and geometry of the
inclusions. Examples are integral and attached membrane proteins, viruses, and
lipid domains. We propose an analytical model to study budding and vesiculation
of the lipid bilayer membrane, which is based on the membrane bending energy
and the translational entropy of the inclusions. If the inclusions are placed
on a membrane with similar curvature radius, their repulsive membrane-mediated
interaction is screened. Therefore, for high inclusion density the inclusions
aggregate, induce bud formation, and finally vesiculation. Already with the
bending energy alone our model allows the prediction of bud radii. However, in
case the inclusions induce a single large vesicle to split into two smaller
vesicles, bending energy alone predicts that the smaller vesicles have
different sizes whereas the translational entropy favors the formation of
equal-sized vesicles. Our results agree well with those of recent computer
simulations.Comment: 11 pages, 12 figure
Lateral diffusion of a protein on a fluctuating membrane
Measurements of lateral diffusion of proteins in a membrane typically assume
that the movement of the protein occurs in a flat plane. Real membranes,
however, are subject to thermal fluctuations, leading to movement of an
inclusion into the third dimension. We calculate the magnitude of this effect
by projecting real three-dimensional diffusion onto an effective one on a flat
plane. We consider both a protein that is free to diffuse in the membrane and
one that also couples to the local curvature. For a freely diffusing inclusion
the measured projected diffusion constant is up to 15% smaller than the actual
value. Coupling to the curvature enhances diffusion significantly up to a
factor of two.Comment: 6 pages, 4 figure
Interactions between proteins bound to biomembranes
We study a physical model for the interaction between general inclusions
bound to fluid membranes that possess finite tension, as well as the usual
bending rigidity. We are motivated by an interest in proteins bound to cell
membranes that apply forces to these membranes, due to either entropic or
direct chemical interactions. We find an exact analytic solution for the
repulsive interaction between two similar circularly symmetric inclusions. This
repulsion extends over length scales of order tens of nanometers, and contrasts
with the membrane-mediated contact attraction for similar inclusions on
tensionless membranes. For non circularly symmetric inclusions we study the
small, algebraically long-ranged, attractive contribution to the force that
arises. We discuss the relevance of our results to biological phenomena, such
as the budding of caveolae from cell membranes and the striations that are
observed on their coats.Comment: 22 pages, 2 figure
Fluctuation-Induced Interactions between Rods on a Membrane
We consider the interaction between two rods embedded in a fluctuating
surface. The modification of fluctuations by the rods leads to an attractive
long-range interaction between them. We consider fluctuations governed by
either surface tension (films) or bending rigidity (membranes). In both cases
the interaction falls off with the separation of the rods as . The
orientational part of the interaction is proportional to in the former case, and to in the latter, where and
are angles between the rods and the line joining them. These
interactions are somewhat reminiscent of dipolar forces and will tend to align
collections of such rods into chains.Comment: REVTEX, 14 pages, with 2 Postscript figure
A New Phase of Tethered Membranes: Tubules
We show that fluctuating tethered membranes with {\it any} intrinsic
anisotropy unavoidably exhibit a new phase between the previously predicted
``flat'' and ``crumpled'' phases, in high spatial dimensions where the
crumpled phase exists. In this new "tubule" phase, the membrane is crumpled in
one direction but extended nearly straight in the other. Its average thickness
is with the intrinsic size of the membrane. This phase
is more likely to persist down to than the crumpled phase. In Flory
theory, the universal exponent , which we conjecture is an exact
result. We study the elasticity and fluctuations of the tubule state, and the
transitions into it.Comment: 4 pages, self-unpacking uuencoded compressed postscript file with
figures already inside text; unpacking instructions are at the top of file.
To appear in Phys. Rev. Lett. November (1995
Segregation of receptor-ligand complexes in cell adhesion zones: Phase diagrams and role of thermal membrane roughness
The adhesion zone of immune cells, the 'immunological synapse', exhibits
characteristic domains of receptor-ligand complexes. The domain formation is
likely caused by a length difference of the receptor-ligand complexes, and has
been investigated in experiments in which T cells adhere to supported membranes
with anchored ligands. For supported membranes with two types of anchored
ligands, MHCp and ICAM1, that bind to the receptors TCR and LFA1 in the cell
membrane, the coexistence of domains of TCR-MHCp and LFA1-ICAM1 complexes in
the cell adhesion zone has been observed for a wide range of ligand
concentrations and affinities. For supported membranes with long and short
ligands that bind to the same cell receptor CD2, in contrast, domain
coexistence has been observed for a rather narrow ratio of ligand
concentrations. In this article, we determine detailed phase diagrams for cells
adhering to supported membranes with a statistical-physical model of cell
adhesion. We find a characteristic difference between the adhesion scenarios in
which two types of ligands in a supported membrane bind (i) to the same cell
receptor or (ii) to two different cell receptors, which helps to explain the
experimental observations. Our phase diagrams fully include thermal shape
fluctuations of the cell membranes on nanometer scales, which lead to a
critical point for the domain formation and to a cooperative binding of the
receptors and ligands.Comment: 23 pages, 6 figure
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