Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs

We study sparse recovery with structured random measurement matrices having independent, identically distributed, and uniformly bounded rows and with a nontrivial covariance structure. This class of matrices arises from random sampling of bounded Riesz systems and generalizes random partial Fourier matrices. Our main result improves the currently available results for the null space and restricted isometry properties of such random matrices. The main novelty of our analysis is a new upper bound for the expectation of the supremum of a Bernoulli process associated with a restricted isometry constant. We apply our result to prove new performance guarantees for the CORSING method, a recently introduced numerical approximation technique for partial differential equations (PDEs) based on compressive sensing

Properties of the LWR model with time delay

In this article, we investigate theoretical and numerical properties of the first-order Lighthill-Whitham-Richards (LWR) traffic flow model with time delay. Since standard results from the literature are not directly applicable to the delayed model, we mainly focus on the numerical analysis of the proposed finite difference discretization. The simulation results also show that the delay model is able to capture Stop & Go waves

Species-Specific Differences in the Susceptibility of Fungi to the Antifungal Protein AFP Depend on C-3 Saturation of Glycosylceramides

AFP is an antimicrobial peptide (AMP) produced by the filamentous fungus Aspergillus giganteus and is a very potent inhibitor of fungal growth that does not affect the viability of bacteria, plant, or mammalian cells. It targets chitin synthesis and causes plasma membrane permeabilization in many human- and plant-pathogenic fungi, but its exact mode of action is not known. After adoption of the “damage-response framework of microbial pathogenesis” regarding the analysis of interactions between AMPs and microorganisms, we have recently proposed that the cytotoxic capacity of a given AMP depends not only on the presence/absence of its target(s) in the host and the AMP concentration applied but also on other variables, such as microbial survival strategies. We show here using the examples of three filamentous fungi (Aspergillus niger, Aspergillus fumigatus, and Fusarium graminearum) and two yeasts (Saccharomyces cerevisiae and Pichia pastoris) that the important parameters defining the AFP susceptibilities of these fungi are (i) the presence/absence of glycosylceramides, (ii) the presence/absence of Δ3(E) desaturation of the fatty acid chain therein, and (iii) the (dis)ability of these fungi to respond to AFP inhibitory effects with the fortification of their cell walls via increased chitin and β-(1,3)-glucan synthesis. These observations support the idea of the adoption of the damage-response framework to holistically understand the outcome of AFP inhibitory effects.TU Berlin, Open-Access-Mittel - 201

A research design in technology-enhanced scaffolding in language teaching: What lessonLAMS can offer at the interface of educational and language learning research

This chapter aims to provide a language learning design principle using the Learning Activity Management System (LAMS) as a platform in authentic classroom situations. A LessonLAMS sequence has been developed for this research project and was designed using a ‘Dynamic Scaffolding Technique’ within the learner’s zone of proximal development (ZPD) (Vygotsky & Cole, 1978). Participants for this study were South East Queensland secondary students who are studying Korean as a foreign language as an elective subject. The learning design of the LessonLAMS sequence was incorporated in classroom instruction with the research focus on technology-enhanced learning tasks, which was designed and implemented in the foreign language classroom at the participating school.No Full Tex

Eight microsatellite markers for Armillaria cepistipes and their transferability to other Armillaria species

We isolated eight polymorphic microsatellite markers for the basidiomycete Armillaria cepistipes and characterised them by analysing 50 isolates representing two geographically distinct populations from Switzerland and the Ukraine. The number of alleles per locus and population varied from one to eight, resulting in 43 alleles over the eight loci and two populations. In both populations, no significant linkage disequilibrium was observed between pairs of loci. Significant (P < 0.05) deviations from Hardy-Weinberg equilibrium were observed at one locus in the Swiss population and at three loci in the Ukrainian population. Of the eight loci developed for A. cepistipes, six were also polymorphic in A. gallica, four in A. ostoyae, two in A. mellea, and one in A. borealis. Beside the potential to be used for population genetic studies on A. cepistipes, these microsatellites thus represent additional molecular markers for three of the four annulated Armillaria species occurring in Europ

High-energy resummation at the LHC: the case of Drell-Yan processes

We first review the general framework which enables one to resum high-energy logarithms in hadronic processes, both in the evolution of parton densities and in the coefficient functions. We then present an all-order calculation in perturbative QCD of the inclusive Drell Yan and vector boson production in hadron-hadron collisions, in the limit where centre of mass energy is much bigger than the invariant mass of the final state. Our calculation resums leading non-trivial logarithms in the ratio of these two scales. We also study the phenomenological relevance of the high-energy corrections for Drell-Yan processes at the LHC. We find that the resummation corrects the NNLO result by a few percent, for values of the invariant mass of the lepton pair below 100 GeV. Corrections to W, Z production are expected to be of the same order.Comment: 5 pages, Talk given at 10th DESY Workshop on Elementary Particle Theory: Loops and Legs 2010, Worlitz, Germany 25-30 April 201

A small molecule screen identifies novel inhibitors of mechanosensory nematocyst discharge in Hydra

Cnidarians are characterized by the possession of stinging organelles, called nematocysts, which they use for prey capture and defense. Nematocyst discharge is controlled by a mechanosensory apparatus with analogies to vertebrate hair cells. Members of the transient receptor potential (TRPN) ion channel family are supposed to be involved in the transduction of the mechanical stimulus. A small molecule screen was performed to identify compounds that affect nematocyst discharge in Hydra. We identified several [2.2]paracyclophanes that cause inhibition of nematocyst discharge in the low micro-molar range. Further structure–activity analyses within the compound class of [2.2]paracyclophanes showed common features that are required for the inhibitory activity of the [2.2]paracyclophane core motif. This study demonstrates that Hydra can serve as a model for small molecule screens targeting the mechanosensory apparatus in native tissues