5,199 research outputs found
Molecular Electroporation and the Transduction of Oligoarginines
Certain short polycations, such as TAT and polyarginine, rapidly pass through
the plasma membranes of mammalian cells by an unknown mechanism called
transduction as well as by endocytosis and macropinocytosis. These
cell-penetrating peptides (CPPs) promise to be medically useful when fused to
biologically active peptides. I offer a simple model in which one or more CPPs
and the phosphatidylserines of the inner leaflet form a kind of capacitor with
a voltage in excess of 180 mV, high enough to create a molecular electropore.
The model is consistent with an empirical upper limit on the cargo peptide of
40--60 amino acids and with experimental data on how the transduction of a
polyarginine-fluorophore into mouse C2C12 myoblasts depends on the number of
arginines in the CPP and on the CPP concentration. The model makes three
testable predictions.Comment: 15 pages, 5 figure
Insight into Resonant Activation in Discrete Systems
The resonant activation phenomenon (RAP) in a discrete system is studied
using the master equation formalism. We show that the RAP corresponds to a
non-monotonic behavior of the frequency dependent first passage time
probability density function (pdf). An analytical expression for the resonant
frequency is introduced, which, together with numerical results, helps
understand the RAP behavior in the space spanned by the transition rates for
the case of reflecting and absorbing boundary conditions. The limited range of
system parameters for which the RAP occurs is discussed. We show that a minimum
and a maximum in the mean first passage time (MFPT) can be obtained when both
boundaries are absorbing. Relationships to some biological systems are
suggested.Comment: 5 pages, 5 figures, Phys. Rev. E., in pres
Effect of dipolar moments in domain sizes of lipid bilayers and monolayers
Lipid domains are found in systems such as multi-component bilayer membranes
and single component monolayers at the air-water interface. It was shown by
Andelman et al. (Comptes Rendus 301, 675 (1985)) and McConnell et al. (Phys.
Chem. {\bf 91}, 6417 (1987)) that in monolayers, the size of the domains
results from balancing the line tension, which favors the formation of a large
single circular domain, against the electrostatic cost of assembling the
dipolar moments of the lipids. In this paper, we present an exact analytical
expression for the electric potential, ion distribution and electrostatic free
energy for different problems consisting of three different slabs with
different dielectric constants and Debye lengths, with a circular homogeneous
dipolar density in the middle slab. From these solutions, we extend the
calculation of domain sizes for monolayers to include the effects of finite
ionic strength, dielectric discontinuities (or image charges) and the
polarizability of the dipoles and further generalize the calculations to
account for domains in lipid bilayers. In monolayers, the size of the domains
is dependent on the different dielectric constants but independent of ionic
strength. In asymmetric bilayers, where the inner and outer leaflets have
different dipolar densities, domains show a strong size dependence with ionic
strength, with molecular-sized domains that grow to macroscopic phase
separation with increasing ionic strength. We discuss the implications of the
results for experiments and briefly consider their relation to other two
dimensional systems such as Wigner crystals or heteroepitaxial growth.Comment: 13 pages, 5 figues in eps Replaced with new version, one citation
added and a few statements corrected. The results of the paper are unchange
Effective Medium Theory of Filamentous Triangular Lattice
We present an effective medium theory that includes bending as well as
stretching forces, and we use it to calculate mechanical response of a diluted
filamentous triangular lattice. In this lattice, bonds are central-force
springs, and there are bending forces between neighboring bonds on the same
filament. We investigate the diluted lattice in which each bond is present with
a probability . We find a rigidity threshold which has the same value
for all positive bending rigidity and a crossover characterizing bending-,
stretching-, and bend-stretch coupled elastic regimes controlled by the
central-force rigidity percolation point at of the
lattice when fiber bending rigidity vanishes.Comment: 15 pages, 9 figure
Dynamics of active membranes with internal noise
We study the time-dependent height fluctuations of an active membrane
containing energy-dissipating pumps that drive the membrane out of equilibrium.
Unlike previous investigations based on models that neglect either curvature
couplings or random fluctuations in pump activities, our formulation explores
two new models that take both of these effects into account. In the first
model, the magnitude of the nonequilibrium forces generated by the pumps is
allowed to fluctuate temporally. In the second model, the pumps are allowed to
switch between "on" and "off" states. We compute the mean squared displacement
of a membrane point for both models, and show that they exhibit distinct
dynamical behaviors from previous models, and in particular, a superdiffusive
regime specifically arising from the shot noise.Comment: 7 pages, 4 figure
Surface tension in bilayer membranes with fixed projected area
We study the elastic response of bilayer membranes with fixed projected area
to both stretching and shape deformations. A surface tension is associated to
each of these deformations. By using model amphiphilic membranes and computer
simulations, we are able to observe both the types of deformation, and thus,
both the surface tensions, related to each type of deformation, are measured
for the same system. These surface tensions are found to assume different
values in the same bilayer membrane: in particular they vanish for different
values of the projected area. We introduce a simple theory which relates the
two quantities and successfully apply it to the data obtained with computer
simulations
Bridging the microscopic and the hydrodynamic in active filament solutions
Hydrodynamic equations for an isotropic solution of active polar filaments
are derived from a microscopic mean-field model of the forces exchanged between
motors and filaments. We find that a spatial dependence of the motor stepping
rate along the filament is essential to drive bundle formation. A number of
differences arise as compared to hydrodynamics derived (earlier) from a
mesoscopic model where relative filament velocities were obtained on the basis
of symmetry considerations. Due to the anisotropy of filament diffusion, motors
are capable of generating net filament motion relative to the solvent. The
effect of this new term on the stability of the homogeneous state is
investigated.Comment: 7 pages, 2 figures, submitted to Europhys. Let
Rheology of Active Filament Solutions
We study the viscoelasticity of an active solution of polar biofilaments and
motor proteins. Using a molecular model, we derive the constitutive equations
for the stress tensor in the isotropic phase and in phases with liquid
crystalline order. The stress relaxation in the various phases is discussed.
Contractile activity is responsible for a spectacular difference in the
viscoelastic properties on opposite sides of the order-disorder transition.Comment: 4 pages, 1 figur
Spontaneous flow transition in active polar gels
We study theoretically the effects of confinement on active polar gels such
as the actin network of eukaryotic cells. Using generalized hydrodynamics
equations derived for active gels, we predict, in the case of quasi
one-dimensional geometry, a spontaneous flow transition from a homogeneously
polarized immobile state for small thicknesses, to a perturbed flowing state
for larger thicknesses. The transition is not driven by an external field but
by the activity of the system. We suggest several possible experimental
realizations.Comment: 7 pages, 3 figures. To appear in Europhys. Let
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
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