25,576 research outputs found
Coexistence of competing first passage percolation on hyperbolic graphs
We study a natural growth process with competition, which was recently
introduced to analyze MDLA, a challenging model for the growth of an aggregate
by diffusing particles. The growth process consists of two first-passage
percolation processes and , spreading with
rates and respectively, on a graph . starts
from a single vertex at the origin , while the initial configuration of
consists of infinitely many \emph{seeds} distributed
according to a product of Bernoulli measures of parameter on
. starts spreading from time 0, while each
seed of only starts spreading after it has been reached by
either or . A fundamental question in this
model, and in growth processes with competition in general, is whether the two
processes coexist (i.e., both produce infinite clusters) with positive
probability. We show that this is the case when is vertex transitive,
non-amenable and hyperbolic, in particular, for any there is a
such that for all the two
processes coexist with positive probability. This is the first non-trivial
instance where coexistence is established for this model. We also show that
produces an infinite cluster almost surely for any
positive , establishing fundamental differences with the behavior
of such processes on .Comment: 53 pages, 13 figure
Iron deficiency up-regulates iron absorption from ferrous sulphate but not ferric pyrophosphate and consequently food fortification with ferrous sulphate has relatively greater efficacy in iron-deficient individuals
Fe absorption from water-soluble forms of Fe is inversely proportional to Fe status in humans. Whether this is true for poorly soluble Fe compounds is uncertain. Our objectives were therefore (1) to compare the up-regulation of Fe absorption at low Fe status from ferrous sulphate (FS) and ferric pyrophosphate (FPP) and (2) to compare the efficacy of FS with FPP in a fortification trial to increase body Fe stores in Fe-deficient children v. Fe-sufficient children. Using stable isotopes in test meals in young women (n 49) selected for low and high Fe status, we compared the absorption of FPP with FS. We analysed data from previous efficacy trials in children (n 258) to determine whether Fe status at baseline predicted response to FS v. FPP as salt fortificants. Plasma ferritin was a strong negative predictor of Fe bioavailability from FS (P <0·0001) but not from FPP. In the efficacy trials, body Fe at baseline was a negative predictor of the change in body Fe for both FPP and FS, but the effect was significantly greater with FS (P <0·01). Because Fe deficiency up-regulates Fe absorption from FS but not from FPP, food fortification with FS may have relatively greater impact in Fe-deficient children. Thus, more soluble Fe compounds not only demonstrate better overall absorption and can be used at lower fortification levels, but they also have the added advantage that, because their absorption is up-regulated in Fe deficiency, they innately ‘target’ Fe-deficient individuals in a populatio
Oscillatory Spin Polarization and Magneto-Optic Kerr Effect in Fe3O4 Thin Films on GaAs(001)
The spin dependent properties of epitaxial Fe3O4 thin films on GaAs(001) are
studied by the ferromagnetic proximity polarization (FPP) effect and
magneto-optic Kerr effect (MOKE). Both FPP and MOKE show oscillations with
respect to Fe3O4 film thickness, and the oscillations are large enough to
induce repeated sign reversals. We attribute the oscillatory behavior to
spin-polarized quantum well states forming in the Fe3O4 film. Quantum
confinement of the t2g states near the Fermi level provides an explanation for
the similar thickness dependences of the FPP and MOKE oscillations.Comment: to appear in Phys. Rev. Let
The First Passage Probability of Intracellular Particle Trafficking
The first passage probability (FPP), of trafficked intracellular particles
reaching a displacement L, in a given time t or inverse velocity S = t/L, can
be calculated robustly from measured particle tracks, and gives a measure of
particle movement in which different types of motion, e.g. diffusion, ballistic
motion, and transient run-rest motion, can readily be distinguished in a single
graph, and compared with mathematical models. The FPP is attractive in that it
offers a means of reducing the data in the measured tracks, without making
assumptions about the mechanism of motion: for example, it does not employ
smoothing, segementation or arbitrary thresholds to discriminate between
different types of motion in a particle track. Taking experimental data from
tracked endocytic vesicles, and calculating the FPP, we see how three molecular
treatments affect the trafficking. We show the FPP can quantify complicated
movement which is neither completely random nor completely deterministic,
making it highly applicable to trafficked particles in cell biology.Comment: Article: 13 pages, 8 figure
Role of heat generation and thermal diffusion during frontal photopolymerization
Frontal photopolymerization (FPP) is a rapid and versatile solidification process that can be used to fabricate complex three-dimensional structures by selectively exposing a photosensitive monomer-rich bath to light. A characteristic feature of FPP is the appearance of a sharp polymerization front that propagates into the bath as a planar traveling wave. In this paper, we introduce a theoretical model to determine how heat generation during photopolymerization influences the kinetics of wave propagation as well as the monomer-to-polymer conversion profile, both of which are relevant for FPP applications and experimentally measurable. When thermal diffusion is sufficiently fast relative to the rate of polymerization, the system evolves as if it were isothermal. However, when thermal diffusion is slow, a thermal wavefront develops and propagates at the same rate as the polymerization front. This leads to an accumulation of heat behind the polymerization front which can result in a significant sharpening of the conversion profile and acceleration of the growth of the solid. Our results also suggest that a novel way to tailor the dynamics of FPP is by imposing a temperature gradient along the growth directio
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