Branching processes and computational collapse of discretized unimodal mappings

In computer simulations of smooth dynamical systems, the original phase space is replaced by machine arithmetic, which is a finite set. The resulting spatially discretized dynamical systems do not inherit all functional properties of the original systems, such as surjectivity and existence of absolutely continuous invariant measures. This can lead to computational collapse to fixed points or short cycles. The paper studies loss of such properties in spatial discretizations of dynamical systems induced by unimodal mappings of the unit interval. The problem reduces to studying set-valued negative semitrajectories of the discretized system. As the grid is refined, the asymptotic behavior of the cardinality structure of the semitrajectories follows probabilistic laws corresponding to a branching process. The transition probabilities of this process are explicitly calculated. These results are illustrated by the example of the discretized logistic mapping.

Psychologists as mental health case managers

The results of two independent surveys of professionals working in government-funded adult community mental health services were examined with a view to considering how psychologists rate their capacities as mental health case managers. Professional competency and personal efficacy self-report profiles for psychologists were compared with those of other professionals in related roles. The results obtained suggested that psychologists identified their strengths as being in traditional practice roles as individual clinicians. Relative to other professions, psychologists reported weaknesses in team and community-focused practice roles. The implications for professional practice and training are discussed.

Transformation processes, pathways, and possible sources of distinctive polychlorinated dibenzo-p-dioxin signatures in sink environments

In recent years, studies on environmental samples with unusual dibenzo-p-dioxin (PCDD) congener profiles were reported from a range of countries. These profiles, characterized by a dominance of octachlorinated dibenzodioxin (OCDD) and relatively low in dibenzofuran (PCDF) concentrations, could not be attributed to known sources or formation processes. In the present study, the processes that result in these unusual profiles were assessed using the concentrations and isomer signatures of PCDDs from dated estuarine sediment cores in Queensland, Australia. Increases in relative concentrations of lower chlorinated PODS and a relative decrease of OCDD were correlated with time of sediment deposition. Preferred lateral, anaerobic dechlorination of OCDD represents a likely pathway for these changes. In Queensland sediments, these transformations result in a distinct dominance of isomers fully chlorinated in the 1,4,6,9-positions (1,4-patterns), and similar 1,4-patterns were observed in sediments from elsewhere. Consequently, these environmental samples may not reflect the signatures of the original source, and a reevaluation of source inputs was undertaken. Natural formation of PCDDs, which has previously been suggested, is discussed; however, based on the present results and literature comparisons, we propose an alternative scenario. This scenario hypothesizes that an anthropogenic PCDD precursor input (e.g. pentachlorophenol) results in the contamination. These results and hypothesis imply further investigations are warrented into possible anthropogenic sources in areas where natural PCDD formation has been suggested.

A survey of Australian mental health occupational therapists

Mental health reform in the western developed world has resulted in new models of care and changed work practices for all mental health professionals. Occupational therapists, as with other mental health professionals, have been required to assume new roles and responsibilities. Literature from the United Kingdom has reflected concern about this new way of working. The aim of this exploratory study was to examine the current work practices of and issues faced by Australian mental health occupational therapists. One hundred and forty-eight respondents (74%) answered an occupational therapy practice in mental health questionnaire. The results from this survey suggest that there are two quite distinct groups of occupational therapists working in mental health settings in Australia. One group works as rehabilitation therapists in traditional activity-focused work roles. The other group works as case manager therapists and employs a much broader spectrum of clinical and support roles. The issues facing therapists include the development and maintenance of a clearly defined role, generic case management versus discipline-specific roles, recruitment and retention, the need for research and evidence-based practice, professional standing, and education and professional development. The concerns over the role of occupational therapy in mental health were similar to those in previous British studies. The implications of these findings include a need for education and training at the undergraduate and postgraduate levels to equip mental health occupational therapists with both discipline-specific and generic skills.

Effect of varying levels of mental workload on startle eyeblink modulation

Previous research using punctuate reaction time and counting tasks has found that the startle eyeblink reflex is sensitive to attentional demands. The present experiment explored whether startle eyeblink is also modulated during a complex continuous task and is sensitive to different levels of mental workload. Participants (N=14) performed a visual horizontal tracking task either alone (single-task condition) or in combination with a visual gauge monitoring task (multiple-task condition) for three minutes. On some task trials, the startle eyeblink reflex was elicited by a noise burst. Results showed that startle eyeblink was attenuated during both tasks and that the attenuation was greater during the multiple-task condition than during the single-task condition. Subjective ratings, endogenous eyeblink rate, heart period, and heart period variability provided convergent validity of the workload manipulations. The findings suggest that the startle eyeblink is sensitive to the workload demands associated with a continuous visual task. The application of startle eyeblink modulation as a workload metric and the possibility that it may be diagnostic of workload demands in different stimulus modalities is discussed.

The competence of mental health occupational therapists

This research sought to investigate the self-perceived competence of mental health occupational therapists in Queensland. The research is a post-hoc analysis of survey results that formed part of the 1995 Professional Development Strategy for Adult Mental Health Services for the Queensland Health Mental Health Unit. A sample of 55 occupational therapists was compared with other professionals in relation to both general self-efficacy and efficacy in specific competencies. The devised scale for measuring self-efficacy was found to have a high level of internal reliability. The results indicated that the general self-perceived competence of occupational therapists for the whole sample was comparable to that of other professional groups, but that in the community-based sample it was significantly higher than that of social workers or nurses. In addition, occupational therapists in community settings had significantly higher general self-perceived competence than occupational therapists in hospital locations. Greater length of experience in mental health was strongly predictive of higher levels of competence for occupational therapists than for other professionals. The results suggest that occupational therapists have adapted well to the demands of multidisciplinary community practice. The possible reasons for these results, and the implications for competency-based recruitment and training, are presented.

Robust model-order reduction of complex biological processes

This paper addresses robust model-order reduction of a high dimensional nonlinear partial differential equation (PDE) model of a complex biological process. Based on a nonlinear, distributed parameter model of the same process which was validated against experimental data of an existing, pilot-scale BNR activated sludge plant, we developed a state-space model with 154 state variables in this work. A general algorithm for robustly reducing the nonlinear PDE model is presented and based on an investigation of five state-of-the-art model-order reduction techniques, we are able to reduce the original model to a model with only 30 states without incurring pronounced modelling errors. The Singular perturbation approximation balanced truncating technique is found to give the lowest modelling errors in low frequency ranges and hence is deemed most suitable for controller design and other real-time applications. (C) 2002 Elsevier Science Ltd. All rights reserved.

Mental health: How well are occupational therapists equipped for a changed practice environment?

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Clinical pathways in mental health

Caremaps [Clinical pathways] are like microwave ovens: five years from now, members of all disciplines will marvel at how they ever got along without them. Of course there will always be some that refuse to accept innovation or who are technophobic. Most people, however, will readily incorporate useful, practical new products into their daily lives.' Zander [1]