239 research outputs found
Feedback control of unstable cellular solidification fronts
We present a numerical and experimental study of feedback control of unstable
cellular patterns in directional solidification (DS). The sample, a dilute
binary alloy, solidifies in a 2D geometry under a control scheme which applies
local heating close to the cell tips which protrude ahead of the other. For the
experiments, we use a real-time image processing algorithm to track cell tips,
coupled with a movable laser spot array device, to heat locally. We show,
numerically and experimentally, that spacings well below the threshold for a
period-doubling instability can be stabilized. As predicted by the numerical
calculations, cellular arrays become stable, and the spacing becomes uniform
through feedback control which is maintained with minimal heating.Comment: 4 pages, 4 figures, 1 tabl
A rigorous time bound for factoring integers
Wetensch. publicatieFaculteit der Wiskunde en Natuurwetenschappe
Resolution of Linear Algebra for the Discrete Logarithm Problem Using GPU and Multi-core Architectures
In cryptanalysis, solving the discrete logarithm problem (DLP) is key to
assessing the security of many public-key cryptosystems. The index-calculus
methods, that attack the DLP in multiplicative subgroups of finite fields,
require solving large sparse systems of linear equations modulo large primes.
This article deals with how we can run this computation on GPU- and
multi-core-based clusters, featuring InfiniBand networking. More specifically,
we present the sparse linear algebra algorithms that are proposed in the
literature, in particular the block Wiedemann algorithm. We discuss the
parallelization of the central matrix--vector product operation from both
algorithmic and practical points of view, and illustrate how our approach has
contributed to the recent record-sized DLP computation in GF().Comment: Euro-Par 2014 Parallel Processing, Aug 2014, Porto, Portugal.
\<http://europar2014.dcc.fc.up.pt/\>
The effect of network topology on the stability of discrete state models of genetic control
Boolean networks have been proposed as potentially useful models for genetic
control. An important aspect of these networks is the stability of their
dynamics in response to small perturbations. Previous approaches to stability
have assumed uncorrelated random network structure. Real gene networks
typically have nontrivial topology significantly different from the random
network paradigm. In order to address such situations, we present a general
method for determining the stability of large Boolean networks of any specified
network topology and predicting their steady-state behavior in response to
small perturbations. Additionally, we generalize to the case where individual
genes have a distribution of `expression biases,' and we consider
non-synchronous update, as well as extension of our method to non-Boolean
models in which there are more than two possible gene states. We find that
stability is governed by the maximum eigenvalue of a modified adjacency matrix,
and we test this result by comparison with numerical simulations. We also
discuss the possible application of our work to experimentally inferred gene
networks.Comment: 25 pages, 4 figures; added supplementary information, fixed typos and
figure, reformatte
From Radio to X-ray: Flares on the dMe Flare Star EV Lacertae
We present the results of a campaign to observe flares on the M dwarf flare
star EV Lacertae over the course of two days in 2001 September, utilizing a
combination of radio continuum, optical photometric and spectroscopic,
ultraviolet spectroscopic, and X-ray spectroscopic observations, to
characterize the multi-wavelength nature of flares from this active, single
late-type star. We find flares in every wavelength region in which we observed.
In the multi-wavelength context, the start of the intense radio flare is
coincident with an impulsive optical U-band flare, to within one minute, and
yet there is no signature of an X-ray response. There are other intervals of
time where optical flaring and UV flaring is occurring, but these cannot be
related to the contemporaneous X-ray flaring: the time-integrated luminosities
do not match the instantaneous X-ray flare luminosity, as one would expect for
the Neupert effect. We investigate the probability of chance occurrences of
flares from disparate wavelength regions producing temporal coincidences, but
find that not all the flare associations can be explained by a superposition of
flares due to a high flaring rate. We caution against making causal
associations of multi-wavelength flares based solely on temporal correlations
for high flaring rate stars like EV Lac.Comment: 52 pages, 13 figures, accepted for publication in the Astrophysical
Journa
On the shortness of vectors to be found by the Ideal-SVP quantum algorithm
The hardness of finding short vectors in ideals of cyclotomic number fields (hereafter, Ideal-SVP) can serve as a worst-case assumption for numerous efficient cryptosystems, via the average-case problems Ring-SIS and Ring-LWE. For a while, it could be assumed the Ideal-SVP problem was as hard a
Integration of the ÎČ-Catenin-Dependent Wnt Pathway with Integrin Signaling through the Adaptor Molecule Grb2
THE COMPLEXITY OF WNT SIGNALING LIKELY STEMS FROM TWO SOURCES: multiple pathways emanating from frizzled receptors in response to wnt binding, and modulation of those pathways and target gene responsiveness by context-dependent signals downstream of growth factor and matrix receptors. Both rac1 and c-jun have recently been implicated in wnt signaling, however their upstream activators have not been identified.Here we identify the adapter protein Grb2, which is itself an integrator of multiple signaling pathways, as a modifier of beta-catenin-dependent wnt signaling. Grb2 synergizes with wnt3A, constitutively active (CA) LRP6, Dvl2 or CA-beta-catenin to drive a LEF/TCF-responsive reporter, and dominant negative (DN) Grb2 or siRNA to Grb2 block wnt3A-mediated reporter activity. MMP9 is a target of beta-catenin-dependent wnt signaling, and an MMP9 promoter reporter is also responsive to signals downstream of Grb2. Both a jnk inhibitor and DN-c-jun block transcriptional activation downstream of Dvl2 and Grb2, as does DN-rac1. Integrin ligation by collagen also synergizes with wnt signaling as does overexpression of Focal Adhesion Kinase (FAK), and this is blocked by DN-Grb2.These data suggest that integrin ligation and FAK activation synergize with wnt signaling through a Grb2-rac-jnk-c-jun pathway, providing a context-dependent mechanism for modulation of wnt signaling
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