Sharp Sobolev inequality involving a critical nonlinearity on a boundary

We consider the solvability of the Neumann problem for the equation -Delta u + lambda u = 0, partial derivative u/partial derivative v = Q(x)vertical bar u vertical bar(q-2)u on partial derivative Omega, where Q is a positive and continuous coefficient on partial derivative Omega, lambda is a parameter and q = 2(N - 1)/(N - 2) is a critical Sobolev exponent for the trace embedding of H-1(Omega) into L-q(partial derivative Omega). We investigate the joint effect of the mean curvature of partial derivative Omega and the shape of the graph of Q on the existence of solutions. As a by product we establish a sharp Sobolev inequality for the trace embedding. In Section 6 we establish the existence of solutions when a parameter lambda interferes with the spectrum of -Delta with the Neumann boundary conditions. We apply a min-max principle based on the topological linking.

Environmental contamination of arsenic and its toxicological impact on humans

Inorganic arsenic compounds are known carcinogens. The human epidemiologic evidence of arsenic-induced skin, lung, and bladder cancers is strong. However, the evidence of arsenic carcinogenicity in animals is very limited. Lack of a suitable animal model until recent years has inhibited studies of the mechanism of arsenic carcinogenesis. The toxicity and bioavailability of arsenic depend on its solubility and chemical forms. Therefore, it is critical to be able to measure arsenic speciation accurately and reliably. However, speciation of arsenic in more complex matrices remains a real challenge. There are tens of millions of people who are being exposed to excessive levels of arsenic in the drinking water alone. The source of contamination is mainly of natural origin and the mass poisoning is occurring worldwide, particularly in developing countries. Chronic arsenicosis resulting in cancer and non-cancer diseases will impact significantly on the public health systems in their respective countries. Effective watershed management and remediation technologies in addition to medical treatment are urgently needed in order to avoid what has been regarded as the largest calamity of chemical poisoning in the world.

Guest Editorial: Some population perspectives on chronic kidney disease

In this issue of Advances in Chronic Kidney Disease, emphasis is placed on populationbased perspectives on kidney and related chronic diseases and their risk factors. The articles remind us that we must expand our views, break down specialty barriers, work on improved primary care models and prevention modalities, and think in terms of wholeof- person and whole-of-community, rather than in organ-specific approaches.

Ciguatera: Australian perspectives on a global problem

Ciguatera is a global disease caused by the consumption of certain warm-water fish that have accumulated orally effective levels of sodium channel activator toxins (ciguatoxins) through the marine food chain. Symptoms of ciguatera arising from the consumption of ciguateric fish include a range of gastrointestinal, neurological and cardiovascular disturbances. This review examines progress in our understanding of ciguatera from an Australian perspective, especially the laboratory-based research into the problem that was initiated by the late "Bob" Endean at the University of Queensland.

An automated failure mode and effect analysis based on high-level design specificication with behavior trees

Formal methods have significant benefits for developing safety critical systems, in that they allow for correctness proofs, model checking safety and liveness properties, deadlock checking, etc. However, formal methods do not scale very well and demand specialist skills, when developing real-world systems. For these reasons, development and analysis of large-scale safety critical systems will require effective integration of formal and informal methods. In this paper, we use such an integrative approach to automate Failure Modes and Effects Analysis (FMEA), a widely used system safety analysis technique, using a high-level graphical modelling notation (Behavior Trees) and model checking. We inject component failure modes into the Behavior Trees and translate the resulting Behavior Trees to SAL code. This enables us to model check if the system in the presence of these faults satisfies its safety properties, specified by temporal logic formulas. The benefit of this process is tool support that automates the tedious and error-prone aspects of FMEA.

Critical reflections on international collaborative research

The excitement and challenge of undertaking research is an integral part of an academic staff member’s role. There are a multitude of reasons which encourage academics to undertake collaborative research. These range from the enthusiasm that arises from particular discipline interests, through to the pressure from tertiary contexts to be actively engaged in research and to produce research outputs. This paper uses the experiences of an international academic research team to explore the nature of the collaborative academic research process, including the perils and pitfalls, as well as the joys and enthusiasms. The three researchers are convinced that there are many positives to be gained from international collaboration. By critically reflecting on the dynamics of the research process employed by the tri-national team, (as against the research project itself), and identifying ‘lessons learned’ by the researchers themselves, suggestions for productive and enjoyable research relationships are offered.

The effect of repeated prepulse and reflex stimulus presentations on startle prepulse inhibition

The magnitude of a startle reflex is inhibited if the reflex-eliciting stimuli is preceded by a prepulse stimulus at a short lead interval. Previous research in humans has shown that the extent of prepulse inhibition decreases over repeated presentations of reflex stimuli and prepulse-reflex stimulus pairings. The present study (N=70) investigated the effect of repeated presentations of prepulse stimuli, reflex stimuli, or prepulse-reflex stimulus pairings on prepulse inhibition. Five groups of subjects were presented during habituation training with either (a) reflex stimuli, (b) prepulse-reflex stimulus pairings, (c) a random sequence of prepulse and reflex stimuli, (d) prepulse stimuli, or (e) experimentally irrelevant light stimuli. Prepulse inhibition was reduced if startle stimuli were presented during habituation ((a), (b), (c)), but not after repeated presentation of the prepulse or the light stimulus ((d), (e)). The reduction in prepulse inhibition was abolished after dishabituation of the startle reflex. The present results indicate that habituation of the startle reflex can result in a reduction of prepulse inhibition. (C) 1998 Elsevier Science B.V.

Reliability and validity of scores on scales to measure managerial aspirations

The present investigation assessed the reliability and validity of the scores of a subjective measure of desired aspirations and a behavioral measure of enacted aspirations. A sample of 5,655 employees was randomly split into two halves. Principal components analysis on Sample 1, followed by confirmatory factor analysis on Sample 2, confirmed the desired and enacted scales as distinct but related measures of managerial aspirations. The desired and enacted scales had satisfactory levels of internal consistency and temporal stability over a 1-year period. Relationships between the measures of desired and enacted managerial aspirations and both attitudinal and behavioral criteria, measured concurrently and 1 year later, provided preliminary support for convergent and discriminant validity for our sample. Desired aspirations demonstrated stronger validity than enacted aspirations. Although further examination of the psychometric properties of the scales is warranted, the present findings provide promising support for their validity and reliability for our sample.

The impact of interpersonal and intergroup communication accommodation on perceptions of Chinese students in Australia

Using the framework of communication accommodation theory the authors examined convergence and maintenance on evaluations of Chinese and Australian students. In Study 1, Australian students judged interactions between an Anglo-Australian. and another interactant who either maintained his or converged in speech style. Results indicated that participants were aware of convergence but that speaker ethnicity (Anglo-Australian, Chinese Australian or Chinese national) was a stronger influence on evaluations and future intentions to interact with the speaker In Study 2, Australian students judged Chinese speakers who maintained communication style or converged on interpersonal speech markers, intergroup markers, or both types of markers. Results indicated that the more participants defined themselves in intergroup terms, the more positively they judged intergroup convergence relative to interpersonal convergence and maintenance. This points to the importance of distinguishing between, convergence on interpersonal and intergroup speech markers, and underlines the role of individual differences in the evaluation of convergence.