6,323 research outputs found
Simplification of the tug-of-war model for cellular transport in cells
The transport of organelles and vesicles in living cells can be well
described by a kinetic tug-of-war model advanced by M\"uller, Klumpp and
Lipowsky. In which, the cargo is attached by two motor species, kinesin and
dynein, and the direction of motion is determined by the number of motors which
bind to the track. In recent work [Phys. Rev. E 79, 061918 (2009)], this model
was studied by mean field theory, and it was found that, usually the tug-of-war
model has one, two, or three distinct stable stationary points. However, the
results there are mostly obtained by numerical calculations, since it is hard
to do detailed theoretical studies to a two-dimensional nonlinear system. In
this paper, we will carry out further detailed analysis about this model, and
try to find more properties theoretically. Firstly, the tug-of-war model is
simplified to a one-dimensional equation. Then we claim that the stationary
points of the tug-of-war model correspond to the roots of the simplified
equation, and the stable stationary points correspond to the roots with
positive derivative. Bifurcation occurs at the corresponding parameters, under
which the simplified one-dimensional equation exists root with zero derivative.
Using the simplified equation, not only more properties of the tug-of-war model
can be obtained analytically, the related numerical calculations will become
more accurate and more efficient. This simplification will be helpful to future
studies of the tug-of-war model
Monopoles in CP(N-1) model via the state-operator correspondence
One of the earliest proposed phase transitions beyond the
Landau-Ginzburg-Wilson paradigm is the quantum critical point separating an
antiferromagnet and a valence-bond-solid on a square lattice. The low energy
description of this transition is believed to be given by the 2+1 dimensional
CP(1) model -- a theory of bosonic spinons coupled to an abelian gauge field.
Monopole defects of the gauge field play a prominent role in the physics of
this phase transition. In the present paper, we use the state-operator
correspondence of conformal field theory in conjunction with the 1/N expansion
to study monopole operators at the critical fixed point of the CP(N-1) model.
This elegant method reproduces the result for monopole scaling dimension
obtained through a direct calculation by Murthy and Sachdev. The technical
simplicity of our approach makes it the method of choice when dealing with
monopole operators in a conformal field theory.Comment: 14 pages, 1 figur
\u3cem\u3eColemanus keeleyorum\u3c/em\u3e (Braconidae, Ichneutinae s. l.): A New Genus and Species of Eocene Wasp From the Green River Formation of Western North America
A new genus and species of Ichneutinae s. l., Colemanus keeleyorum Fisher, is described from the Eocene Green River Formation in Colorado, USA. Colemanus was placed on a phylogenetic hypothesis using morphological data. Using a parsimony criterion, Colemanus is placed within Proteropini (Ichneutinae s. l.). Reconstructions of well-preserved regions (mesosomal dorsum and wings) are included. A previously described species from lower Oligocene Baltic amber is transferred to Colemanus, resulting in the new combination C. contortus (Brues, 1933)
\u3cem\u3eColemanus keeleyorum\u3c/em\u3e (Braconidae, Ichneutinae s. l.): A New Genus and Species of Eocene Wasp From the Green River Formation of Western North America
A new genus and species of Ichneutinae s. l., Colemanus keeleyorum Fisher, is described from the Eocene Green River Formation in Colorado, USA. Colemanus was placed on a phylogenetic hypothesis using morphological data. Using a parsimony criterion, Colemanus is placed within Proteropini (Ichneutinae s. l.). Reconstructions of well-preserved regions (mesosomal dorsum and wings) are included. A previously described species from lower Oligocene Baltic amber is transferred to Colemanus, resulting in the new combination C. contortus (Brues, 1933)
IRAS versus POTENT Density Fields on Large Scales: Biasing and Omega
The galaxy density field as extracted from the IRAS 1.2 Jy redshift survey is
compared to the mass density field as reconstructed by the POTENT method from
the Mark III catalog of peculiar velocities. The reconstruction is done with
Gaussian smoothing of radius 12 h^{-1}Mpc, and the comparison is carried out
within volumes of effective radii 31-46 h^{-1}Mpc, containing approximately
10-26 independent samples. Random and systematic errors are estimated from
multiple realizations of mock catalogs drawn from a simulation that mimics the
observed density field in the local universe. The relationship between the two
density fields is found to be consistent with gravitational instability theory
in the mildly nonlinear regime and a linear biasing relation between galaxies
and mass. We measure beta = Omega^{0.6}/b_I = 0.89 \pm 0.12 within a volume of
effective radius 40 h^{-1}Mpc, where b_I is the IRAS galaxy biasing parameter
at 12 h^{-1}Mpc. This result is only weakly dependent on the comparison volume,
suggesting that cosmic scatter is no greater than \pm 0.1. These data are thus
consistent with Omega=1 and b_I\approx 1. If b_I>0.75, as theoretical models of
biasing indicate, then Omega>0.33 at 95% confidence. A comparison with other
estimates of beta suggests scale-dependence in the biasing relation for IRAS
galaxies.Comment: 35 pages including 10 figures, AAS Latex, Submitted to The
Astrophysical Journa
Vectorial Loading of Processive Motor Proteins: Implementing a Landscape Picture
Individual processive molecular motors, of which conventional kinesin is the
most studied quantitatively, move along polar molecular tracks and, by exerting
a force on a tether, drag cellular cargoes, {\em in
vivo}, or spherical beads, {\em in vitro}, taking up to hundreds of
nanometer-scale steps. From observations of velocities and the dispersion of
displacements with time, under measured forces and controlled fuel supply
(typically ATP), one may hope to obtain insight into the molecular motions
undergone in the individual steps. In the simplest situation, the load force
may be regarded as a scalar resisting force, , acting
parallel to the track: however, experiments, originally by Gittes {\em et al.}
(1996), have imposed perpendicular (or vertical) loads, , while more
recently Block and coworkers (2002, 2003) and Carter and Cross (2005) have
studied {\em assisting} (or reverse) loads, , and also sideways (or
transverse) loads
Discretization Dependence of Criticality in Model Fluids: a Hard-core Electrolyte
Grand canonical simulations at various levels, -20, of fine- lattice
discretization are reported for the near-critical 1:1 hard-core electrolyte or
RPM. With the aid of finite-size scaling analyses it is shown convincingly
that, contrary to recent suggestions, the universal critical behavior is
independent of (\grtsim 4); thus the continuum RPM
exhibits Ising-type (as against classical, SAW, XY, etc.) criticality. A
general consideration of lattice discretization provides effective
extrapolation of the {\em intrinsically} erratic -dependence, yielding
(\Tc^ {\ast},\rhoc^{\ast})\simeq (0.0493_{3},0.075) for the
RPM.Comment: 4 pages including 4 figure
Improving Patient Decision-Making in Health Care
Outlines regional variations within Minnesota in rates of patients with similar conditions receiving elective surgery, the concept of shared decision making, treatment choices for eight conditions, and steps for ensuring patients make informed decisions
Critical Dynamics in a Binary Fluid: Simulations and Finite-size Scaling
We report comprehensive simulations of the critical dynamics of a symmetric
binary Lennard-Jones mixture near its consolute point. The self-diffusion
coefficient exhibits no detectable anomaly. The data for the shear viscosity
and the mutual-diffusion coefficient are fully consistent with the asymptotic
power laws and amplitudes predicted by renormalization-group and mode-coupling
theories {\it provided} finite-size effects and the background contribution to
the relevant Onsager coefficient are suitably accounted for. This resolves a
controversy raised by recent molecular simulations.Comment: 4 pages, 4 figure
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