6,861 research outputs found
On the use of blow up to study regularizations of singularities of piecewise smooth dynamical systems in
In this paper we use the blow up method of Dumortier and Roussarie
\cite{dumortier_1991,dumortier_1993,dumortier_1996}, in the formulation due to
Krupa and Szmolyan \cite{krupa_extending_2001}, to study the regularization of
singularities of piecewise smooth dynamical systems
\cite{filippov1988differential} in . Using the regularization
method of Sotomayor and Teixeira \cite{Sotomayor96}, first we demonstrate the
power of our approach by considering the case of a fold line. We quickly
recover a main result of Bonet and Seara \cite{reves_regularization_2014} in a
simple manner. Then, for the two-fold singularity, we show that the regularized
system only fully retains the features of the singular canards in the piecewise
smooth system in the cases when the sliding region does not include a full
sector of singular canards. In particular, we show that every locally unique
primary singular canard persists the regularizing perturbation. For the case of
a sector of primary singular canards, we show that the regularized system
contains a canard, provided a certain non-resonance condition holds. Finally,
we provide numerical evidence for the existence of secondary canards near
resonance.Comment: To appear in SIAM Journal of Applied Dynamical System
The Borexino Thermal Monitoring & Management System and simulations of the fluid-dynamics of the Borexino detector under asymmetrical, changing boundary conditions
A comprehensive monitoring system for the thermal environment inside the
Borexino neutrino detector was developed and installed in order to reduce
uncertainties in determining temperatures throughout the detector. A
complementary thermal management system limits undesirable thermal couplings
between the environment and Borexino's active sections. This strategy is
bringing improved radioactive background conditions to the region of interest
for the physics signal thanks to reduced fluid mixing induced in the liquid
scintillator. Although fluid-dynamical equilibrium has not yet been fully
reached, and thermal fine-tuning is possible, the system has proven extremely
effective at stabilizing the detector's thermal conditions while offering
precise insights into its mechanisms of internal thermal transport.
Furthermore, a Computational Fluid-Dynamics analysis has been performed, based
on the empirical measurements provided by the thermal monitoring system, and
providing information into present and future thermal trends. A two-dimensional
modeling approach was implemented in order to achieve a proper understanding of
the thermal and fluid-dynamics in Borexino. It was optimized for different
regions and periods of interest, focusing on the most critical effects that
were identified as influencing background concentrations. Literature
experimental case studies were reproduced to benchmark the method and settings,
and a Borexino-specific benchmark was implemented in order to validate the
modeling approach for thermal transport. Finally, fully-convective models were
applied to understand general and specific fluid motions impacting the
detector's Active Volume.Comment: arXiv admin note: substantial text overlap with arXiv:1705.09078,
arXiv:1705.0965
Computing Slow Manifolds of Saddle Type
Slow manifolds are important geometric structures in the state spaces of
dynamical systems with multiple time scales. This paper introduces an algorithm
for computing trajectories on slow manifolds that are normally hyperbolic with
both stable and unstable fast manifolds. We present two examples of bifurcation
problems where these manifolds play a key role and a third example in which
saddle-type slow manifolds are part of a traveling wave profile of a partial
differential equation. Initial value solvers are incapable of computing
trajectories on saddle-type slow manifolds, so the slow manifold of saddle type
(SMST) algorithm presented here is formulated as a boundary value method. We
take an empirical approach here to assessing the accuracy and effectiveness of
the algorithm.Comment: preprint version - for final version see journal referenc
AAO Starbugs: software control and associated algorithms
The Australian Astronomical Observatory's TAIPAN instrument deploys 150
Starbug robots to position optical fibres to accuracies of 0.3 arcsec, on a 32
cm glass field plate on the focal plane of the 1.2 m UK-Schmidt telescope. This
paper describes the software system developed to control and monitor the
Starbugs, with particular emphasis on the automated path-finding algorithms,
and the metrology software which keeps track of the position and motion of
individual Starbugs as they independently move in a crowded field. The software
employs a tiered approach to find a collision-free path for every Starbug, from
its current position to its target location. This consists of three
path-finding stages of increasing complexity and computational cost. For each
Starbug a path is attempted using a simple method. If unsuccessful,
subsequently more complex (and expensive) methods are tried until a valid path
is found or the target is flagged as unreachable.Comment: 10 pages, to be published in Proc. SPIE 9913, Software and
Cyberinfrastructure for Astronomy IV; 201
Vertical structure models of the 1990 equatorial disturbance on Saturn
In September 1990, an atmospheric disturbance in the form of an abnormally high albedo area developed in the equatorial region of Saturn. Events of this nature are exceedingly rare for this planet as they have been detected in the equatorial region on only two other occasions in over a century. In ongoing monitoring of the atmospheres of the outer planets, CCD imaging observations of Saturn by New Mexico State University's Tortugas Mountain Station were made before, during, and after the disturbance's formation through both broad-band filters and narrow-band visible/near-IR filters centered in methane absorption bands. Also, multispectral Hubble Space Telescope observations were made within weeks of the event and later in 1991. These observations were calibrated and scans of reflectivity at constant latitude are being modeled with a vertically inhomogeneous, multiple scattering model previously used to model Jupiter's South Equatorial Belt brightening event in 1989. In addition, the reflectivity of the disturbance as a function of the scattering angles is being obtained so as to model this feature's vertical structure in particular. A preliminary report of the modeling results will be presented
Relative cost-effectiveness of using a liquid human milk fortifier in preterm infants in the US
Objective: To estimate the cost-effectiveness of using a liquid human milk fortifier (LHMF) compared to a powdered human milk fortifier (PHMF) in preterm infants in the US from the perspective of third-party payers and parents.
Methods: This was a decision modelling study using patient data obtained from a random- ized controlled trial comparing a LHMF with a PHMF in preterm infants, supplemented with additional data obtained by performing a chart review among 79% of the trial patients. The model estimated the cost-effectiveness of LHMF versus PHMF in US10,497 per infant less in the LHMF group than the PHMF group (251,425).
Conclusion: Using LHMF instead of PHMF in preterm infants enabled resources to be freed-up for alternative use within the system. There is no health economic reason why LHMF should not be used in preference to PHMF in the NICU
Proteomics reveals distinct mechanisms regulating the release of cytokines and alarmins during pyroptosis
A major pathway for proinflammatory protein release by macrophages is inflammasome-mediated pyroptotic cell death. As conventional secretion, unconventional secretion, and cell death are executed simultaneously, however, the cellular mechanisms regulating this complex paracrine program remain incompletely understood. Here, we devise a quantitative proteomics strategy to define the cellular exit route for each protein by pharmacological and genetic dissection of cellular checkpoints regulating protein release. We report the release of hundreds of proteins during pyroptosis, predominantly due to cell lysis. They comprise constitutively expressed and transcriptionally induced proteins derived from the cytoplasm and specific intracellular organelles. Many low-molecular-weight proteins including the cytokine interleukin-1b, alarmins, and lysosomal-cargo proteins exit cells in the absence of cell lysis. Cytokines and alarmins are released in an endoplasmic reticulum (ER)-Golgi-dependent manner as free proteins rather than by extracellular vesicles. Our work provides an experimental framework for the dissection of cellular exit pathways and a resource for pyroptotic protein release
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