Context-free and context-sensitive dynamics in recurrent neural networks

Continuous-valued recurrent neural networks can learn mechanisms for processing context-free languages. The dynamics of such networks is usually based on damped oscillation around fixed points in state space and requires that the dynamical components are arranged in certain ways. It is shown that qualitatively similar dynamics with similar constraints hold for a(n)b(n)c(n), a context-sensitive language. The additional difficulty with a(n)b(n)c(n), compared with the context-free language a(n)b(n), consists of 'counting up' and 'counting down' letters simultaneously. The network solution is to oscillate in two principal dimensions, one for counting up and one for counting down. This study focuses on the dynamics employed by the sequential cascaded network, in contrast to the simple recurrent network, and the use of backpropagation through time. Found solutions generalize well beyond training data, however, learning is not reliable. The contribution of this study lies in demonstrating how the dynamics in recurrent neural networks that process context-free languages can also be employed in processing some context-sensitive languages (traditionally thought of as requiring additional computation resources). This continuity of mechanism between language classes contributes to our understanding of neural networks in modelling language learning and processing.

Dynamics of trapped Bose-Einstein condensates: Beyond the mean-field

Since dilute Bose gas condensates were first experimentally produced, the Gross-Pitaevskii equation has been successfully used as a descriptive tool. As a mean-field equation, it cannot by definition predict anything about the many-body quantum statistics of condensate. We show here that there are a class of dynamical systems where it cannot even make successful predictions about the mean-field behavior, starting with the process of evaporative cooling by which condensates are formed. Among others are parametric processes, such as photoassociation and dissociation of atomic and molecular condensates.

Career versus motherhood? A case study describing a cognitive-existential approach to the dilemma

The present paper reports a case study concerning a professional woman in her 30s, who presented to the Occupational Health department of a metropolitan hospital with work stress stemming from accelerating work demands and marital problems related to the decision about whether to start a family or continue her career. No clinical diagnosis was warranted; however, Maslach Burnout Inventory Scores indicated a high degree of emotional exhaustion and moderate levels of depersonalisation, offset by a high sense of personal accomplishment in her work role. The client also demonstrated severe stress and moderate depression on the Depression-Anxiety-Stress Scale (DASS-21). The case was conceptualised from a combined cognitive-existential perspective. The woman's cognitions about her work, relationship, and prospective motherhood roles were identified, as well as underlying existential issues such as finding a meaning in life and a fear of being alone and unloved. Eight sessions of therapy incorporated components of cognitive and existential therapies, aimed at managing stress and improving marital adjustment. Posttreatment results showed substantial reductions in all the measures of distress, while personal accomplishment remained high. The woman and her husband decided to defer starting a family until other issues had been addressed.

Scope for further analytical solutions for constant flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile

[1] We attempt to generate new solutions for the moisture content form of the one-dimensional Richards' [1931] equation using the Lisle [1992] equivalence mapping. This mapping is used as no more general set of transformations exists for mapping the one-dimensional Richards' equation into itself. Starting from a given solution, the mapping has the potential to generate an infinite number of new solutions for a series of nonlinear diffusivity and hydraulic conductivity functions. We first seek new analytical solutions satisfying Richards' equation subject to a constant flux surface boundary condition for a semi-infinite dry soil, starting with the Burgers model. The first iteration produces an existing solution, while subsequent iterations are shown to endlessly reproduce this same solution. Next, we briefly consider the problem of redistribution in a finite-length soil. In this case, Lisle's equivalence mapping is generalized to account for arbitrary initial conditions. As was the case for infiltration, however, it is found that new analytical solutions are not generated using the equivalence mapping, although existing solutions are recovered.

Evaluating curriculum changes in undergraduate cancer education

Background. Previous studies have indicated that Australian medical schools have not adequately prepared our graduating doctors to care for patients with cancer. The University of Western Australia (UWA) introduced a two-week clinical attachment in cancer medicine for fifth-year students in 2000 and a four-day clinical attachment in palliative care for sixth-year students in 2001. This article evaluates the introduction of these dedicated clinical attachments in cancer and palliative care. Method. The Australian Cancer Society's Cancer Education Survey was administered to the UWA graduates starting their intern year in teaching hospitals in Perth, Western Australia, in 2002. Their responses were compared with data collected in a similar national survey of Australian and New Zealand interns in 2001. Results. The response rate was 56% (n = 70). When compared with the national data for 2001, more UWA interns (2002) would refer a newly diagnosed breast cancer patient to a multidisciplinary breast clinic (97% vs. 74%, P<.001). Fewer UWA 2002 interns rated their training as poor or very poor in the management of patients with incurable cancer (19% vs. 35%, P=.008) and the management of symptoms in patients dying from cancer (10% vs. 37%, P<.001), but they were more likely to rate their training in assisting a patient to stop smoking as poor or very poor (54% vs. 21%, P<.001). Only a quarter of the UWA 2002 interns had examined a patient with a cancer of the mouth or tongue (25% vs. 49%, P<.001), and only two thirds had examined a patient with lymphoma (64% vs. 83%, P<.001). Conclusions. Our data reflect changes in the final two years of the medical course at UWA and suggest that the introduction of dedicated attachments in cancer and palliative care has better prepared graduating doctors to care for patients with cancer.

The Australian Universities Teaching Committee project in 'Learning Outcomes and Curriculum Development in Psychology'

The Australian Universities Teaching Committee (AUTC) funds projects intended to improve the quality of teaching and learning in specific disciplinary areas. The project brief for 'Learning Outcomes and Curriculum Development in Psychology' for 2004/2005 was to 'produce an evaluative overview of courses ... with a focus on the specification and assessment of learning outcomes and ... identify strategic directions for universities to enhance teaching and learning'. This project was awarded to a consortium from The University of Queensland, University of Tasmania, and Southern Cross University. The starting point for this project is an analysis of the scientist-practitioner model and its role in curriculum design, a review of current challenges at a conceptual level, and consideration of the implications of recent changes to universities relating to such things as intemationalisation of programs and technological advances. The project will seek to bring together stakeholders from around the country in order to survey the widest possible range of perspectives on the project brief requirements. It is hoped also to establish mechanisms for fiiture scholarly discussion of these issues, including the establishment of an Australian Society for the Teaching of Psychology and an annual conference.

Post-familial families and the domestic division of labour

This paper takes as its starting point recent claims by Beck-Gernsheim (2002) that we are living in an era of post-familial families. Beck-Gernsheim (2002) argues that our lives are no longer structured as they once were by tradition, class, religion and kin. Instead the family has become a transitional phase as individuals strive for fulfillment of personal goals and personal life projects. The demographic evidence to support these claims is clearly evident in relation to changing patterns of family formation and dissolution, as well as the movement of married women into paid employment. But what is less evident is a decline in traditional patterns of gender stratification within families. This paper uses recent national data from Australia to examine the relationship between post-familial status, as indicated by marital status and employment, and time spent on housework. The results show that gender is still a clear predictor of time spent on housework, but that within gender there is evidence that gender inequality may be declining in non-traditional households.

Quantum analysis of the nondegenerate optical parametric oscillator with injected signal

In this paper we study the nondegenerate optical parametric oscillator with injected signal, both analytically and numerically. We develop a perturbation approach which allows us to find approximate analytical solutions, starting from the full equations of motion in the positive-P representation. We demonstrate the regimes of validity of our approximations via comparison with the full stochastic results. We find that, with reasonably low levels of injected signal, the system allows for demonstrations of quantum entanglement and the Einstein-Podolsky-Rosen paradox. In contrast to the normal optical parametric oscillator operating below threshold, these features are demonstrated with relatively intense fields.

The effects of predator odors in mammalian prey species: A review of field and laboratory studies

wPrey species show specific adaptations that allow recognition, avoidance and defense against predators. For many mammalian species this includes sensitivity towards predator-derived odors. The typical sources of such odors include predator skin and fur, urine, feces and anal gland secretions. Avoidance of predator odors has been observed in many mammalian prey species including rats, mice, voles, deer, rabbits, gophers, hedgehogs, possums and sheep. Field and laboratory studies show that predator odors have distinctive behavioral effects which include (1) inhibition of activity, (2) suppression of non-defensive behaviors such as foraging, feeding and grooming, and (3) shifts to habitats or secure locations where such odors are not present. The repellent effect of predator odors in the field may sometimes be of practical use in the protection of crops and natural resources, although not all attempts at this have been successful. The failure of some studies to obtain repellent effects with predator odors may relate to (1) mismatches between the predator odors and prey species employed, (2) strain and individual differences in sensitivity to predator odors, and (3) the use of predator odors that have low efficacy. In this regard, a small number of recent studies have suggested that skin and fur-derived predator odors may have a more profound lasting effect on prey species than those derived from urine or feces. Predator odors can have powerful effects on the endocrine system including a suppression of testosterone and increased levels of stress hormones such as corticosterone and ACTH. Inhibitory effects of predator odors on reproductive behavior have been demonstrated, and these are particularly prevalent in female rodent species. Pregnant female rodents exposed to predator odors may give birth to smaller litters while exposure to predator odors during early life can hinder normal development. Recent research is starting to uncover the neural circuitry activated by predator odors, leading to hypotheses about how such activation leads to observable effects on reproduction, foraging and feeding. (c) 2005 Elsevier Ltd. All rights reserved.

Semiquantum versus semiclassical mechanics for simple nonlinear systems

Quantum mechanics has been formulated in phase space, with the Wigner function as the representative of the quantum density operator, and classical mechanics has been formulated in Hilbert space, with the Groenewold operator as the representative of the classical Liouville density function. Semiclassical approximations to the quantum evolution of the Wigner function have been defined, enabling the quantum evolution to be approached from a classical starting point. Now analogous semiquantum approximations to the classical evolution of the Groenewold operator are defined, enabling the classical evolution to be approached from a quantum starting point. Simple nonlinear systems with one degree of freedom are considered, whose Hamiltonians are polynomials in the Hamiltonian of the simple harmonic oscillator. The behavior of expectation values of simple observables and of eigenvalues of the Groenewold operator are calculated numerically and compared for the various semiclassical and semiquantum approximations.

Use of methotrexate in older patients - A risk-benefit assessment

Methotrexate is eliminated almost entirely by the kidneys. The risk of methotrexate toxicity is therefore increased in patients with poor renal function, most likely as a result of drug accumulation. Declining renal function with age may thus be an important predictor of toxicity to methotrexate. Up to 60% of all patients who receive methotrexate for rheumatoid arthritis (RA) discontinue taking it because of adverse effects, most of which occur during the first year of therapy. Gastrointestinal complications are the most common adverse effects of methotrexate, but hepatotoxicity, haematological toxicity, pulmonary toxicity, lymphoproliferative disorders and exacerbation of rheumatic nodules have all been reported, Decreased renal function as a result of disease and/or aging appears to be an important determinant of hepatic, lymphoproli ferative and haematological toxicity, Concomitant use of low doses of folic acid has been recommended as an approach to limiting toxicity. Interactions between methotrexate and several nonsteroidal anti-inflammatory drugs have been reported, but they may not be clinically significant. However, caution is advised in the use of such combinations in patients with reduced renal function. More serious toxicities (e.g. pancytopenia) may result when other inhibitors of folate utilisation [e.g. cotrimoxazole (trimethoprim-sulfamethoxazole)] or inhibitors of renal tubular secretion (e.g. probenecid) are combined with methotrexate. Before starting low dose methotrexate therapy in patients with RA, a full blood count, liver function tests, renal function tests and chest radiography should be performed. Blood counts and liver function tests should be repeated at regular intervals. Therapeutic drug monitoring of methotrexate has also been suggested as a means of limiting toxicity. Patients with RA usually respond very favourably to low dose methotrexate therapy, and the probability of patients continuing their treatment beyond 5 years is greater than for other slow-acting antirheumatic drugs. Thus, given its sustained clinical utility and relatively predictable toxicity profile, low dose methotrexate is a useful addition to the therapy of RA.

Analysis of dynamic process models for structural insight and model reduction .1. Structural identification measures

An important consideration in the development of mathematical models for dynamic simulation, is the identification of the appropriate mathematical structure. By building models with an efficient structure which is devoid of redundancy, it is possible to create simple, accurate and functional models. This leads not only to efficient simulation, but to a deeper understanding of the important dynamic relationships within the process. In this paper, a method is proposed for systematic model development for startup and shutdown simulation which is based on the identification of the essential process structure. The key tool in this analysis is the method of nonlinear perturbations for structural identification and model reduction. Starting from a detailed mathematical process description both singular and regular structural perturbations are detected. These techniques are then used to give insight into the system structure and where appropriate to eliminate superfluous model equations or reduce them to other forms. This process retains the ability to interpret the reduced order model in terms of the physico-chemical phenomena. Using this model reduction technique it is possible to attribute observable dynamics to particular unit operations within the process. This relationship then highlights the unit operations which must be accurately modelled in order to develop a robust plant model. The technique generates detailed insight into the dynamic structure of the models providing a basis for system re-design and dynamic analysis. The technique is illustrated on the modelling for an evaporator startup. Copyright (C) 1996 Elsevier Science Ltd

Discrete and continuous models for dry masonry columns

The dynamic response of dry masonry columns can be approximated with finite-difference equations. Continuum models follow by replacing the difference quotients of the discrete model by corresponding differential expressions. The mathematically simplest of these models is a one-dimensional Cosserat theory. Within the presented homogenization context, the Cosserat theory is obtained by making ad hoc assumptions regarding the relative importance of certain terms in the differential expansions. The quality of approximation of the various theories is tested by comparison of the dispersion relations for bending waves with the dispersion relation of the discrete theory. All theories coincide with differences of less than 1% for wave-length-block-height (L/h) ratios bigger than 2 pi. The theory based on systematic differential approximation remains accurate up to L/h = 3 and then diverges rapidly. The Cosserat model becomes increasingly inaccurate for L/h < 2 pi. However, in contrast to the systematic approximation, the wave speed remains finite. In conclusion, considering its relative simplicity, the Cosserat model appears to be the natural starting point for the development of continuum models for blocky structures.

Structure of TcpG, the DsbA protein folding catalyst from Vibrio cholerae

The efficient and correct folding of bacterial disulfide bonded proteins in vivo is dependent upon a class of periplasmic oxidoreductase proteins called DsbA, after the Escherichia coli enzyme. In the pathogenic bacterium Vibrio cholerae, the DsbA homolog (TcpG) is responsible for the folding, maturation and secretion of virulence factors. Mutants in which the tcpg gene has been inactivated are avirulent; they no longer produce functional colonisation pill and they no longer secrete cholera toxin. TcpG is thus a suitable target for inhibitors that could counteract the virulence of this organism, thereby preventing the symptoms of cholera. The crystal structure of oxidized TcpG (refined at a resolution of 2.1 Angstrom) serves as a starting point for the rational design of such inhibitors. As expected, TcpG has the same fold as E. coli DsbA, with which it shares similar to 40% sequence identity. Ln addition, the characteristic surface features of DsbA are present in TcpG, supporting the notion that these features play a functional role. While the overall architecture of TcpG and DsbA is similar and the surface features are retained in TcpG, there are significant differences. For example, the kinked active site helix results from a three-residue loop in DsbA, but is caused by a proline in TcpG (making TcpG more similar to thioredoxin in this respect). Furthermore, the proposed peptide binding groove of TcpG is substantially shortened compared with that of DsbA due to a six-residue deletion. Also, the hydrophobic pocket of TcpG is more shallow and the acidic patch is much less extensive than that of E. coli DsbA. The identification of the structural and surface features that are retained or are divergent in TcpG provides a useful assessment of their functional importance in these protein folding catalysts and is an important prerequisite for the design of TcpG inhibitors. (C) 1997 Academic Press Limited.

Effect of lipopolysaccharide from periodontal pathogens on the production of tissue plasminogen activator and plasminogen activator inhibitor 2 by human gingival fibroblasts

Both tissue plasminogen activator (t-PA) and plasminogen activator inhibitor 2 (PAI-2) are important proteolysis factors present in inflamed human periodontal tissues. The aim of the present study was to investigate the effect of lipopolysaccharide (LPS) on the synthesis: of t-PA and PAI-2 by human gingival fibroblasts (HGF). LPS from different periodontal pathogens including Actinobacillus actinomycetemcomitans, Porphyromonas gingivalis and Fusobacterium nucleatum were extracted by the hot phenol water method. The levels of t-PA and PAI-2 secreted into the cell culture media were measured by enzyme-linked immunosorbent assays (ELISA). The mRNA for t-PA and PAI-2 were measured by RT-PCR. The results showed t-PA synthesis was increased in response to all types of LPS studied and PAI-2 level was increased by LPS from A. actinomycetemcomitans and F. nucleatum, but not P. gingivalis. When comparing the effects of LPS from non-periodontal bacteria (Escherichia coli and Salmonella enteritidis) with the LPS from periodontal pathogens, we found that the ratio of t-PA to PAI-2 was greater following exposure of the cells to LPS from periodontal pathogens. The highest ratio of t-PA to PAI-2 was found in those cells exposed to LPS from P. gingivalis. These results indicate that LPS derived from periodontal pathogens may cause unbalanced regulation of plasminogen activator and plasminogen activator inhibitor by HGF and such an effect may, in part, contribute to the destruction of periodontal connective tissue through dysregulated pericellular proteolysis.