On the equivalence of Lie symmetries and group representations

We consider families of linear, parabolic PDEs in n dimensions which possess Lie symmetry groups of dimension at least four. We identify the Lie symmetry groups of these equations with the (2n+1)-dimensional Heisenberg group and SL(2,R{double-struck}). We then show that for PDEs of this type, the Lie symmetries may be regarded as global projective representations of the symmetry group. We construct explicit intertwining operators between the symmetries and certain classical projective representations of the symmetry groups. Banach algebras of symmetries are introduced. © 2010 Elsevier Inc

Abstract Poisson summation formulas over homogeneous spaces of compact groups

This paper presents the abstract notion of Poisson summation formulas for homogeneous spaces of compact groups. Let G be a compact group, H be a closed subgroup of G, and μ be the normalized G-invariant measure over the left coset space G / H associated to the Weil’s formula. We prove that the abstract Fourier transform over G / H satisfies a generalized version of the Poisson summation formula

The limitations of employment as a tool for social inclusion

<p>Abstract</p> <p>Background</p> <p>One important component of social inclusion is the improvement of well-being through encouraging participation in employment and work life. However, the ways that employment contributes to wellbeing are complex. This study investigates how poor health status might act as a barrier to gaining good quality work, and how good quality work is an important pre-requisite for positive health outcomes.</p> <p>Methods</p> <p>This study uses data from the PATH Through Life Project, analysing baseline and follow-up data on employment status, psychosocial job quality, and mental and physical health status from 4261 people in the Canberra and Queanbeyan region of south-eastern Australia. Longitudinal analyses conducted across the two time points investigated patterns of change in employment circumstances and associated changes in physical and mental health status.</p> <p>Results</p> <p>Those who were unemployed and those in poor quality jobs (characterised by insecurity, low marketability and job strain) were more likely to remain in these circumstances than to move to better working conditions. Poor quality jobs were associated with poorer physical and mental health status than better quality work, with the health of those in the poorest quality jobs comparable to that of the unemployed. For those who were unemployed at baseline, pre-existing health status predicted employment transition. Those respondents who moved from unemployment into poor quality work experienced an increase in depressive symptoms compared to those who moved into good quality work.</p> <p>Conclusions</p> <p>This evidence underlines the difficulty of moving from unemployment into good quality work and highlights the need for social inclusion policies to consider people's pre-existing health conditions and promote job quality.</p

Perceptions, use and attitudes of pharmacy customers on complementary medicines and pharmacy practice

BACKGROUND: Complementary medicines (CMs) are popular amongst Australians and community pharmacy is a major supplier of these products. This study explores pharmacy customer use, attitudes and perceptions of complementary medicines, and their expectations of pharmacists as they relate to these products. METHODS: Pharmacy customers randomly selected from sixty large and small, metropolitan and rural pharmacies in three Australian states completed an anonymous, self administered questionnaire that had been pre-tested and validated. RESULTS: 1,121 customers participated (response rate 62%). 72% had used CMs within the previous 12 months, 61% used prescription medicines daily and 43% had used both concomitantly. Multivitamins, fish oils, vitamin C, glucosamine and probiotics were the five most popular CMs. 72% of people using CMs rated their products as 'very effective' or 'effective enough'. CMs were as frequently used by customers aged 60 years or older as younger customers (69% vs. 72%) although the pattern of use shifted with older age. Most customers (92%) thought pharmacists should provide safety information about CMs, 90% thought they should routinely check for interactions, 87% thought they should recommend effective CMs, 78% thought CMs should be recorded in customer's medication profile and 58% thought pharmacies stocking CMs should also employ a complementary medicine practitioner. Of those using CMs, 93% thought it important for pharmacists to be knowledgeable about CMs and 48% felt their pharmacist provides useful information about CMs. CONCLUSIONS: CMs are widely used by pharmacy customers of all ages who want pharmacists to be more involved in providing advice about these products

Cannabis in medicine: a national educational needs assessment among Canadian physicians

BACKGROUND: There is increasing global awareness and interest in the use of cannabis for therapeutic purposes (CTP). It is clear that health care professionals need to be involved in these decisions, but often lack the education needed to engage in informed discussions with patients. This study was conducted to determine the educational needs of Canadian physicians regarding CTP. METHODS: A national needs assessment survey was developed based on previous survey tools. The survey was approved by the Research Ethics Board of the McGill University Health Centre Research Institute and was provided online using LimeSurvey®. Several national physician organizations and medical education organizations informed their members of the survey. The target audience was Canadian physicians. We sought to identify and rank using 5-point Likert scales the most common factors involved in decision making about using CTP in the following categories: knowledge, experience, attitudes, and barriers. Preferred educational approaches and physician demographics were collected. Gap analysis was conducted to determine the magnitude and importance of differences between perceived and desired knowledge on all decision factors. RESULTS: Four hundred and twenty six responses were received, and physician responses were distributed across Canada consistent with national physician distribution. The most desired knowledge concerned “potential risks of using CTP” and “safety, warning signs and precautions for patients using CTP”. The largest gap between perceived current and desired knowledge levels was “dosing” and “the development of treatment plans”. CONCLUSIONS: We have identified several key educational needs among Canadian physicians regarding CTP. These data can be used to develop resources and educational programs to support clinicians in this area, as well as to guide further research to inform these gaps

The prevalence and experience of Australian naturopaths and Western herbalists working within community pharmacies

<p>Abstract</p> <p>Background</p> <p>Naturopaths and Western herbal medicine (WHM) practitioners were surveyed to identify their extent, experience and roles within the community pharmacy setting and to explore their attitudes to integration of complementary medicine (CM) practitioners within the pharmacy setting.</p> <p>Method</p> <p>Practising naturopaths and WHM practitioners were invited to participate in an anonymous, self-administered, on-line survey. Participants were recruited using the mailing lists and websites of CM manufacturers and professional associations.</p> <p>Results</p> <p>479 practitioners participated. 24% of respondents (n = 111) reported they had worked in community pharmacy, three-quarters for less than 5 years. Whilst in this role 74% conducted specialist CMs sales, 62% short customer consultations, 52% long consultations in a private room and 51% staff education. This was generally described as a positive learning experience and many appreciated the opportunity to utilise their specialist knowledge in the service of both customers and pharmacy staff. 14% (n = 15) did not enjoy the experience of working in pharmacy at all and suggested pharmacist attitude largely influenced whether the experience was positive or not. Few practitioners were satisfied with the remuneration received. 44% of the total sample provided comment on the issue of integration into pharmacy, with the main concern being the perceived incommensurate paradigms of practice between pharmacy and naturopathy. Of the total sample, 38% reported that they would consider working as a practitioner in retail pharmacy in future.</p> <p>Conclusions</p> <p>The level of integration of CM into pharmacy is extending beyond the mere stocking of supplements. Naturopaths and Western Herbalists are becoming utilised in pharmacies</p

Clinical and morphological characteristics of head-facial haemangiomas

BACKGROUND: Haemangiomas of the head or face are a frequent vascular pathology, consisting in an embryonic dysplasia that involves the cranial-facial vascular network. Haemangiomas show clinical, morphological, developmental and structural changes during their course. METHODS: The clinical characteristics of head-facial haemagiomas were studied in 28 individuals (9 males and 19 females) admitted in our Hospital. Sixteen of these patients(n = 16) underwent surgery for the removal of the haemangiomas. All the removed tissues were transferred in experimental laboratories for the staining of microanatomical details, somatic and visceral nerve fibres, adrenergic and catecholaminergic nerve fibres. Beta-adrenergic receptors were died with a fluorescent method. All results were submitted to the quantitative analysis of images and statistical evaluation of the data. RESULTS: The morphological results revealed numerous micro-anatomical characteristics of the haemangiomatous vessels. The somatic and visceral nerve fibres were poor and located exclusively in the adventitial layer. There was a marked decrease of adrenergic nerve fibres in the haemangiomatous vessels. The fluorescence of catecholaminergic nerve fibres and the overall area of fluorescent structures were also decreased in haemangiomatous vessels. Beta adrenergic receptors are strongly decreased in haemangiomatous vessels. The morphometrical analysis of images and statistical evaluation of the data confirmed all our experimental results. CONCLUSION: The catecholaminergic innervation of the human haemangiomatous vessels comprises nerve fibres containing the main catecholaminergic neurotransmitters that are sympathetic in nature. These neurotransmitters are closely related to beta-adrenergic receptors. The sympathetic nervous system plays a key role in the control of the vascular bed flow and vascular motility in both normal and haemangiomatous vessels

Duration of unemployment and depression: a cross-sectional survey in Lithuania

BACKGROUND: In spite of a growing economy, unemployment is still a severe socio-economic problem in Lithuania. Nonetheless, no studies have been performed about the associations between unemployment and mental health in Lithuania. The aim of this study was to evaluate the associations between unemployment duration and depression in Lithuania. METHODS: The data was collected in a cross-sectional study in 2005. There were 429 filled-in questionnaires received (53.6% response rate) from unemployed persons registered with the Kaunas Labour Market Office. The severity of depression symptoms was evaluated using the Beck Depression Inventory (BDI). Logistic regression was used to estimate the risk factors for occurrence of depression. Sex, age, place of residence, marital status, education, income and practiced religion were the independent variables. Long-term unemployment was defined as lasting a duration of 12 months or more. RESULTS: The findings showed that long-term unemployed persons had more episodes of a depressive mood in the past 12 months in comparison with the group of the short-term unemployed. In addition, the BDI score mean was higher among the long-term unemployed compared with the short-term unemployed (10.1 ± 8.8 and 14.2 ± 9.5 respectively, p < 0.001). It was estimated that the duration of unemployment and BDI score had a positive correlation (r = 0.1968, p < 0.001). Among the short-term unemployed, the risk of depression increased significantly when the person was female, had an older age and had experienced more episodes of unemployment. Among the long-term unemployed, an older age was the risk factor for development of depression. However, higher education and income were the factors that significantly decreased the risk of developing depression for-short term as well as for long-term unemployed. CONCLUSION: The results indicated that depression is a severe problem in the unemployed population. Depression is more elevated among the long-term unemployed. This leads to arguing for common efforts in providing needed social support and health care to reduce the effects of unemployment on mental health