A high frequency boundary element method for scattering by convex polygons with impedance boundary conditions

We consider scattering of a time harmonic incident plane wave by a convex polygon with piecewise constant impedance boundary conditions. Standard finite or boundary element methods require the number of degrees of freedom to grow at least linearly with respect to the frequency of the incident wave in order to maintain accuracy. Extending earlier work by Chandler-Wilde and Langdon for the sound soft problem, we propose a novel Galerkin boundary element method, with the approximation space consisting of the products of plane waves with piecewise polynomials supported on a graded mesh with smaller elements closer to the corners of the polygon. Theoretical analysis and numerical results suggest that the number of degrees of freedom required to achieve a prescribed level of accuracy grows only logarithmically with respect to the frequency of the incident wave.

A moving-mesh finite element method and its application to the numerical solution of phase-change problems

A distributed Lagrangian moving-mesh finite element method is applied to problems involving changes of phase. The algorithm uses a distributed conservation principle to determine nodal mesh velocities, which are then used to move the nodes. The nodal values are obtained from an ALE (Arbitrary Lagrangian-Eulerian) equation, which represents a generalization of the original algorithm presented in Applied Numerical Mathematics, 54:450--469 (2005). Having described the details of the generalized algorithm it is validated on two test cases from the original paper and is then applied to one-phase and, for the first time, two-phase Stefan problems in one and two space dimensions, paying particular attention to the implementation of the interface boundary conditions. Results are presented to demonstrate the accuracy and the effectiveness of the method, including comparisons against analytical solutions where available.

Impact of earthworms on trace element solubility in contaminated mine soils amended with green waste compost

The common practice of remediating metal contaminated mine soils with compost can reduce metal mobility and promote revegetation, but the effect of introduced or colonising earthworms on metal solubility is largely unknown. We amended soils from an As/Cu (1150 mgAs kg−1 and 362 mgCu kg−1) and Pb/Zn mine (4550 mgPb kg−1 and 908 mgZn kg−1) with 0, 5, 10, 15 and 20% compost and then introduced Lumbricus terrestris. Porewater was sampled and soil extracted with water to determine trace element solubility, pH and soluble organic carbon. Compost reduced Cu, Pb and Zn, but increased As solubility. Earthworms decreased water soluble Cu and As but increased Pb and Zn in porewater. The effect of the earthworms decreased with increasing compost amendment. The impact of the compost and the earthworms on metal solubility is explained by their effect on pH and soluble organic carbon and the environmental chemistry of each element.

Changes in race-specific virulence in pseudomonas syringae pv. phaseolicola are Associated with a chimeric transposable element and rare deletion events in a plasmid-borne pathogenicity island

Virulence for bean and soybean is determined by effector genes in a plasmid-borne pathogenicity island (PAI) in race 7 strain 1449B of Pseudomonas syringae pv. phaseolicola. One of the effector genes, avrPphF, confers either pathogenicity, virulence, or avirulence depending on the plant host and is absent from races 2, 3, 4, 6, and 8 of this pathogen. Analysis of cosmid clones and comparison of DNA sequences showed that the absence of avrPphF from strain 1448A is due to deletion of a continuous 9.5-kb fragment. The remainder of the PAI is well conserved in strains 1448A and 1449B. The left junction of the deleted region consists of a chimeric transposable element generated from the fusion of homologs of IS1492 from Pseudomonas putida and IS1090 from Ralstonia eutropha. The borders of the deletion were conserved in 66 P. syringae pv. phaseolicola strains isolated in different countries and representing the five races lacking avrPphF. However, six strains isolated in Spain had a 10.5-kb deletion that extended 1 kb further from the right junction. The perfect conservation of the 28-nucleotide right repeat of the IS1090 homolog in the two deletion types and in the other 47 insertions of the IS1090 homolog in the 1448A genome strongly suggests that the avrPphF deletions were mediated by the activity of the chimeric mobile element. Our data strongly support a clonal origin for the races of P. syringae pv. phaseolicola lacking avrPphF.

Narrativising the facts: acting in screen and stage docudrama

This article presents findings and seeks to establish the theoretical markers that indicate the growing importance of fact-based drama in screen and theatre performance to the wider Anglophone culture. During the final decade of the twentieth century and the opening one of the twenty-first, television docudrama and documentary theatre have grown in visibility and importance in the UK, providing key responses to social, cultural and political change over the millennial period. Actors were the prime focus for the enquiry principally because so little research has been done into the special demands that fact-based performance makes on them. The main emphasis in actor training (in the UK at any rate) is, as it always has been, on preparation for fictional drama. Preparation in acting schools is also heavily geared towards stage performance. Our thesis was that performers called upon to play the roles of real people, in whatever medium, have added responsibilities both towards history and towards real individuals and their families. Actors must engage with ethical questions whether they like it or not, and we found them keenly aware of this. In the course of the research, we conducted 30 interviews with a selection of actors ranging from the experienced to the recently-trained. We also interviewed a few industry professionals and actor trainers. Once the interviews started it was clear that actors themselves made little or no distinction between how they set about their work for television and film. The essential disciplines for work in front of the camera, they told us, are the same whether the camera is electronic or photographic. Some adjustments become necessary, of course in the multi-camera TV studio. But much serious drama for the screen is made on film anyway. We found it was also the case that young actors now tend to get their first paid employment before a camera rather than on a stage. The screen-before-stage tendency, along with the fundamental re-shaping that has gone on in the British theatre since at least the early 1980s, had implications for actor training. We have also found that theatre work still tends to be most valued by actors. For all the actors we interviewed, theatre was what they liked doing best because it was there they could practice and develop their skills, there they could work most collectively towards performance, and there they could more directly experience audience feedback in the real time of the stage play. The current world of television has been especially constrained in regard to rehearsal time in comparison to theatre (and, to a lesser extent, film). This has also affected actors’ valuation of their work. Theatre is, and is not, the most important medium in which they find work. Theatre is most important spiritually and intellectually, because in theatre is collaborative, intensive, and involving; theatre is not as important in financial and career terms, because it is not as lucrative and not as visible to a large public as acting for the screen. Many actors took the view that, for all the industrial differences that do affect them and inevitably interest the academic, acting for the visible media of theatre, film and television involved fundamentally the same process with slightly different emphases.

The UK Department of National Heritage: a model for the development and integration of leisure policy in the new Europe?

Leisure is in the vanguard of a social and cultural revolution which is replacing the former East/West political bipolarity with a globalised economic system in which the new Europe has a central rôle. Within this revolution, leisure, including recreation, culture and tourism, is constructed as the epitome of successful capitalist development; the very legitimisation of the global transmogrification from a production to a consumption orientation. While acting as a direct encouragement to the political transformation in many eastern European states, it is uncertain how the issue of leisure policy is being handled, given its centrality to the new economic order. This paper therefore examines the experience of western Europe, considering in particular the degree to which the newly-created Department of National Heritage in the UK provides a potential model for leisure development and policy integration in the new Europe. Despite an official rhetoric of support and promotion of leisure activities, reflecting the growing economic significance of tourism and the positive relationship between leisure provision and regional economic development, the paper establishes that in the place of the traditional rôle of the state in promoting leisure interests, the introduction of the Department has signified a shift to the use of leisure to promote the Government's interests, particularly in regenerating citizen rights claims towards the market. While an institution such as the Department of National Heritage may have relevance to emerging states as a element in the maintenance of political hegemony, therefore, it is questionable how far it can be viewed as a promoter or protector of leisure as a signifier of a newly-won political, economic and cultural freedom throughout Europe.

Sequence analysis and distribution of an IS3-like insertion element isolated from Salmonella enteritidis

The nucleotide sequence of a 3 kb region immediately upstream of the sef operon operon of Salmonella enteritidis was determined. A 1230 base pair insertion sequence which shared sequence identity (> 75%) with members of the IS3 family was revealed. This element, designated IS1230, had almost identical (90% identity) terminal inverted repeats to Escherichia coli IS3 but unlike other IS3-like sequences lacked the two characteristic open reading frames which encode the putative transposase. S. enteritidis possessed only one copy of this insertion sequence although Southern hybridisation analysis of restriction digests of genomic DNA revealed another fragment located in a region different from the sef operon which hybridised weakly which suggested the presence of an IS1230 homologue. The distribution of IS1230 and IS1230-like elements was shown to be widespread amongst salmonellas and the patterns of restriction fragments which hybridised differed significantly between Salmonella serotypes and it is suggested that IS1230 has potential for development as a differential diagnostic tool.

Enhanced hepatitis C virus genome replication and lipid accumulation mediated by inhibition of AMP-activated protein kinase

Hepatitis C virus (HCV) infection is associated with dysregulation of both lipid and glucose metabolism. As well as contributing to viral replication, these perturbations influence the pathogenesis associated with the virus, including steatosis, insulin resistance, and type 2 diabetes. AMP-activated protein kinase (AMPK) plays a key role in regulation of both lipid and glucose metabolism. We show here that, in cells either infected with HCV or harboring an HCV subgenomic replicon, phosphorylation of AMPK at threonine 172 and concomitant AMPK activity are dramatically reduced. We demonstrate that this effect is mediated by activation of the serine/threonine kinase, protein kinase B, which inhibits AMPK by phosphorylating serine 485. The physiological significance of this inhibition is demonstrated by the observation that pharmacological restoration of AMPK activity not only abrogates the lipid accumulation observed in virus-infected and subgenomic replicon-harboring cells but also efficiently inhibits viral replication. These data demonstrate that inhibition of AMPK is required for HCV replication and that the restoration of AMPK activity may present a target for much needed anti-HCV therapies.

First order k-th moment finite element analysis of nonlinear operator equations with stochastic data

We develop and analyze a class of efficient Galerkin approximation methods for uncertainty quantification of nonlinear operator equations. The algorithms are based on sparse Galerkin discretizations of tensorized linearizations at nominal parameters. Specifically, we consider abstract, nonlinear, parametric operator equations J(\alpha ,u)=0 for random input \alpha (\omega ) with almost sure realizations in a neighborhood of a nominal input parameter \alpha _0. Under some structural assumptions on the parameter dependence, we prove existence and uniqueness of a random solution, u(\omega ) = S(\alpha (\omega )). We derive a multilinear, tensorized operator equation for the deterministic computation of k-th order statistical moments of the random solution's fluctuations u(\omega ) - S(\alpha _0). We introduce and analyse sparse tensor Galerkin discretization schemes for the efficient, deterministic computation of the k-th statistical moment equation. We prove a shift theorem for the k-point correlation equation in anisotropic smoothness scales and deduce that sparse tensor Galerkin discretizations of this equation converge in accuracy vs. complexity which equals, up to logarithmic terms, that of the Galerkin discretization of a single instance of the mean field problem. We illustrate the abstract theory for nonstationary diffusion problems in random domains.