Mesh-free approximations via the error reproducing kernel method and applications to nonlinear systems developing shocks

Error estimates for the error reproducing kernel method (ERKM) are provided. The ERKM is a mesh-free functional approximation scheme [A. Shaw, D. Roy, A NURBS-based error reproducing kernel method with applications in solid mechanics, Computational Mechanics (2006), to appear (available online)], wherein a targeted function and its derivatives are first approximated via non-uniform rational B-splines (NURBS) basis function. Errors in the NURBS approximation are then reproduced via a family of non-NURBS basis functions, constructed using a polynomial reproduction condition, and added to the NURBS approximation of the function obtained in the first step. In addition to the derivation of error estimates, convergence studies are undertaken for a couple of test boundary value problems with known exact solutions. The ERKM is next applied to a one-dimensional Burgers equation where, time evolution leads to a breakdown of the continuous solution and the appearance of a shock. Many available mesh-free schemes appear to be unable to capture this shock without numerical instability. However, given that any desired order of continuity is achievable through NURBS approximations, the ERKM can even accurately approximate functions with discontinuous derivatives. Moreover, due to the variation diminishing property of NURBS, it has advantages in representing sharp changes in gradients. This paper is focused on demonstrating this ability of ERKM via some numerical examples. Comparisons of some of the results with those via the standard form of the reproducing kernel particle method (RKPM) demonstrate the relative numerical advantages and accuracy of the ERKM.

Quantifying progressive anterior overgrowth in the thoracic vertebrae of adolescent idiopathic scoliosis patients

Study design Anterior and posterior vertebral body heights were measured from sequential MRI scans of adolescent idiopathic scoliosis (AIS) patients and healthy controls. Objective To measure changes in vertebral body height over time during scoliosis progression to assess how vertebral body height discrepancies change during growth. Summary of background data Relative anterior overgrowth has been proposed as a potential driver for AIS initiation and progression. This theory proposes that the anterior column grows faster, and the posterior column slower, in AIS patients when compared to healthy controls. There is disagreement in the literature as to whether the anterior vertebral body heights are proportionally greater than posterior vertebral body heights in AIS patients when compared to healthy controls. To some extent, these discrepancies may be attributed to methodological differences. Methods MRI scans of the major curve of 21 AIS patients (mean age 12.5 ± 1.4 years, mean Cobb 32.2 ± 12.8º) and between T4 and T12 of 21 healthy adolescents (mean age 12.1 ± 0.5 years) were captured for this study. Of the 21 AIS patients, 14 had a second scan on average 10.8 ± 4.7 months after the first. Anterior and posterior vertebral body heights were measured from the true sagittal plane of each vertebra such that anterior overgrowth could be quantified. Results The difference between anterior and posterior vertebral body height in healthy, non-scoliotic children was significantly greater than in AIS patients with mild to moderate scoliosis. However there was no significant relationship between the overall anterior-posterior vertebral body height difference in AIS and either severity of the curve or its progression over time. Conclusions Whilst AIS patients have a proportionally longer anterior column than non-scoliotic controls, the degree of anterior overgrowth was not related to the rate of progression or the severity of the scoliotic curve.

Multipath Dissemination in Regular Mesh Topologies

Mesh topologies are important for large-scale peer-to-peer systems that use low-power transceivers. The Quality of Service (QoS) in such systems is known to decrease as the scale increases. We present a scalable approach for dissemination that exploits all the shortest paths between a pair of nodes and improves the QoS. Despite th presence of multiple shortest paths in a system, we show that these paths cannot be exploited by spreading the messages over the paths in a simple round-robin manner; nodes along one of these paths will always handle more messages than the nodes along the other paths. We characterize the set of shortest paths between a pair of nodes in regular mesh topologies and derive rules, using this characterization, to effectively spread the messages over all the available paths. These rules ensure that all the nodes that are at the same distance from the source handle roughly the same number of messages. By modeling the multihop propagation in the mesh topology as a multistage queuing network, we present simulation results from a variety of scenarios that include link failures and propagation irregularities to reflect real-world characteristics. Our method achieves improved QoS in all these scenarios.

How to design educational settings to promote collaborative inquiry: Pedagogical infrastructures for technology-enhanced progressive inquiry

Strategies of scientific, question-driven inquiry are stated to be important cultural practices that should be educated in schools and universities. The present study focuses on investigating multiple efforts to implement a model of Progressive Inquiry and related Web-based tools in primary, secondary and university level education, to develop guidelines for educators in promoting students collaborative inquiry practices with technology. The research consists of four studies. In Study I, the aims were to investigate how a human tutor contributed to the university students collaborative inquiry process through virtual forums, and how the influence of the tutoring activities is demonstrated in the students inquiry discourse. Study II examined an effort to implement technology-enhanced progressive inquiry as a distance working project in a middle school context. Study III examined multiple teachers' methods of organizing progressive inquiry projects in primary and secondary classrooms through a generic analysis framework. In Study IV, a design-based research effort consisting of four consecutive university courses, applying progressive inquiry pedagogy, was retrospectively re-analyzed in order to develop the generic design framework. The results indicate that appropriate teacher support for students collaborative inquiry efforts appears to include interplay between spontaneity and structure. Careful consideration should be given to content mastery, critical working strategies or essential knowledge practices that the inquiry approach is intended to promote. In particular, those elements in students activities should be structured and directed, which are central to the aim of Progressive Inquiry, but which the students do not recognize or demonstrate spontaneously, and which are usually not taken into account in existing pedagogical methods or educational conventions. Such elements are, e.g., productive co-construction activities; sustained engagement in improving produced ideas and explanations; critical reflection of the adopted inquiry practices, and sophisticated use of modern technology for knowledge work. Concerning the scaling-up of inquiry pedagogy, it was concluded that one individual teacher can also apply the principles of Progressive Inquiry in his or her own teaching in many innovative ways, even under various institutional constraints. The developed Pedagogical Infrastructure Framework enabled recognizing and examining some central features and their interplay in the designs of examined inquiry units. The framework may help to recognize and critically evaluate the invisible learning-cultural conventions in various educational settings and can mediate discussions about how to overcome or change them.

Critical criminological understandings of adult pornography and woman abuse: New progressive directions in research and theory

There is a small, but growing, social scientific literature on the racist and violent nature of contemporary adult pornography. However, considerably more empirical and theoretical work needs to be done to advance a critical criminological understanding of how such hurtful sexual media contribute to various forms of woman abuse in intimate relationships. The main objective of this article is to briefly review the relevant literature and to suggest a few new progressive empirical and theoretical directions.

Finite volume TVD formulation of lattice Boltzmann simulation on unstructured mesh

A numerical scheme is presented for accurate simulation of fluid flow using the lattice Boltzmann equation (LBE) on unstructured mesh. A finite volume approach is adopted to discretize the LBE on a cell-centered, arbitrary shaped, triangular tessellation. The formulation includes a formal, second order discretization using a Total Variation Diminishing (TVD) scheme for the terms representing advection of the distribution function in physical space, due to microscopic particle motion. The advantage of the LBE approach is exploited by implementing the scheme in a new computer code to run on a parallel computing system. Performance of the new formulation is systematically investigated by simulating four benchmark flows of increasing complexity, namely (1) flow in a plane channel, (2) unsteady Couette flow, (3) flow caused by a moving lid over a 2D square cavity and (4) flow over a circular cylinder. For each of these flows, the present scheme is validated with the results from Navier-Stokes computations as well as lattice Boltzmann simulations on regular mesh. It is shown that the scheme is robust and accurate for the different test problems studied.

First convention of the World Union for Progressive Judaism; Herrenhaus, Berlin Organizations

Verso: "In the chair: Claude Montefiore others on the platform Lily Montegu, Israel Mattuck, Leo Baeck"

Gear selectivity of large-mesh nets and drumlines used to catch sharks in the Queensland Shark Control Program.

Catches of sharks and bycatch in large-mesh nets and baited drumlines used by the Queensland Shark Control Program were examined to determine the efficacy of both gear types and assess fishing strategies that minimise their impacts. There were few significant differences in the size of both sharks and bycatch in the two gear types, apart from significantly smaller (p < 0.05) tiger sharks Galeocerdo cuvier being taken on drumlines and smaller green turtles Chelonia mydas in nets. Catch per unit effort showed orders of magnitude differences among species, even within the same family. Hammerhead sharks and rays were particularly vulnerable to net capture, whereas higher catch rates of tiger sharks were observed for drumlines. Nets caught more marine mammals, teleost fish and rays, whereas drumlines exhibited higher catch rates of the threatened loggerhead turtle Caretta caretta. Survival of most taxa (particularly obligate ram ventilators) was lower in nets than drumlines. Bycatch species (turtles and marine mammals) were able to swim to the surface to breathe when they were hooked on drumlines, enhancing their survival potential. Fishing strategies that recognise the different selectivity patterns of the gear can be developed to suit local biotic and abiotic conditions, although it is recognised that quantification of both ecological risk and risk to bathers is not a simple task.

Rabbi Leo Baeck, E.L. Ehrlich of Basel, Herbert Strauss of Bern, and Rabbi Eugen Messinger of Bern outside of the West End Synagogue, London, at the International Meeting of the World Union for Progressive Judaism.

Digital Image

Rabbi Eugen Messinger of Bern, Dr. Herbert Strauss of Bern and E.L. Ehrlich of Basel outside of the West End Synagogue, London, at the International Meeting of the World Union for Progressive Judaism.

Digital Image

Outdoor group portrait of attendees of the International Meeting of the World Union for Progressive Judaism; London.

Includes Rabbi Leo Baeck, E.L. Ehrlich of Basel, Herbert Strauss of Bern, and Rabbi Eugen Messinger of Bern

Herbert Strauss at a Zurich train station returning from the International Meeting of the World Union for Progressive Judaism in London.

Strauss completed his PhD examinations summa cum laude before leaving for the meeting, and was on his way to the American Consulate to get a visa for the United States

Molecular biology of progressive myoclonus epilepsy of Unverricht-Lundborg type (EPM1)

Progressive myoclonus epilepsy of Unverricht-Lundborg type (EPM1) is an autosomal recessively inherited disorder characterized by age of onset at 6-15 years, stimulus-sensitive myoclonus, tonic-clonic epileptic seizures and a progressive course. Mutations in the cystatin B (CSTB) gene underlie EPM1. The most common mutation underlying EPM1 is a dodecamer repeat expansion in the promoter region of CSTB. In addition, nine other mutations have been identified. CSTB, a cysteine protease inhibitor, is a ubiquitously expressed inhibitor of cathepsins, but its physiological function is unknown. The purpose of this study was to investigate CSTB gene expression and CSTB protein function in normal and pathological conditions. The basal CSTB promoter was mapped and characterized using different promoter-luciferase gene constructs. The binding activity of transcription factors to one ARE half, five Sp1 and four AP1 sites in the CSTB promoter was demonstrated. The CSTB promoter activity was clearly decreased using a CSTB promoter with "premutation" repeat expansions and in individuals with alike expansions. The expression of CSTB mRNA and protein was markedly reduced in patient cells. The endogenous CSTB protein localized to the nucleus, cytoplasm and lysosomes, and in differentiated cells merely to the cytoplasm. This suggests that the subcellular distribution of CSTB is dependent on the differentation status of the cells. The proteins representing patient missense mutations failed to associate with lysosomes, implying the importance of the lysosomal association for the proper physiological function of CSTB. Several alternatively spliced CSTB isoforms were identified. Of these CSTB2 was widely expressed with very low levels whereas the other alternatively spliced forms seemed to have limited tissue expression. In patients CSTB2 expression was reduced similarly to that of CSTB. The physiological relevance of CSTB alternative splicing remains unknown. The mouse Cstb transcript was shown to be present in all embryonic stages and adult tissues examined. The expression was highest at embryonic day 7 and in thymus, as well as in postnatal brain in the cortex, caudate putamen, thalamus, hippocampus, and in the Purkinje cell layer of the cerebellum. Our data implies that CSTB expression is tightly temporally and spatially regulated. The data presented in my thesis lay the basis for further understanding of the role of CSTB in health and disease.

Outdoor group portrait of attendees of the International Meeting of the World Union for Progressive Judaism; London.

Includes Rabbi Leo Baeck, E.L. Ehrlich of Basel, Herbert Strauss of Bern, and Rabbi Eugen Messinger of Bern