Eigenvalue Separation in Some Random Matrix Models

The eigenvalue density for members of the Gaussian orthogonal and unitary ensembles follows the Wigner semi-circle law. If the Gaussian entries are all shifted by a constant amount c/Sqrt(2N), where N is the size of the matrix, in the large N limit a single eigenvalue will separate from the support of the Wigner semi-circle provided c > 1. In this study, using an asymptotic analysis of the secular equation for the eigenvalue condition, we compare this effect to analogous effects occurring in general variance Wishart matrices and matrices from the shifted mean chiral ensemble. We undertake an analogous comparative study of eigenvalue separation properties when the size of the matrices are fixed and c goes to infinity, and higher rank analogues of this setting. This is done using exact expressions for eigenvalue probability densities in terms of generalized hypergeometric functions, and using the interpretation of the latter as a Green function in the Dyson Brownian motion model. For the shifted mean Gaussian unitary ensemble and its analogues an alternative approach is to use exact expressions for the correlation functions in terms of classical orthogonal polynomials and associated multiple generalizations. By using these exact expressions to compute and plot the eigenvalue density, illustrations of the various eigenvalue separation effects are obtained.Comment: 25 pages, 9 figures include

Rosette‐like structures in the spectrum of spitzoid tumors

Background Spitz nevi demonstrate a diverse spectrum of morphologies. Recently, there have been two reported examples of Spitz nevi with rosette‐like structures similar to Homer‐Wright rosettes. Rosettes have also been described in melanomas and in a proliferative nodule arising in a congenital nevus. Methods A retrospective review of 104 cases of Spitz nevi and variants (n = 51), pigmented spindle cell nevi (n = 26), combined melanocytic nevi with features of Spitz (n = 8), atypical Spitz tumor ( AST , n = 9), and spitzoid melanoma (n = 10). Results Rosette‐like structures were present in 3 of the 104 cases (2.9%), including a compound Spitz nevus, a desmoplastic Spitz nevus, and an AST . All three cases demonstrated several foci of small nests of epithelioid cells with peripherally palisaded nuclei arranged around a central area of fibrillar eosinophilic cytoplasm. Immunohistochemical staining of the three spitzoid lesions demonstrated that the rosette‐like structures express S100 protein, Melan‐A, and neuron specific enolase ( NSE ) and lacked expression of neurofilament, glial fibrillary acidic protein and synaptophysin. Conclusions While uncommon, rosette‐like structures can occur as a focal feature in Spitz nevi and AST . Rosette‐like structures may represent a normal morphologic finding in Spitz nevi, and awareness of them may prevent misdiagnosis as a neural tumor or melanoma.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/99651/1/cup12192.pd

Technique of definition of cracking resistance characteristics of metal plates and envelopes of small thickness

The technique of cracking resistance tests of metal plates of small thickness is given. Features of such tests, among which are occurrence of warp in the places of fastening of plates, occurrence of waves because of loss of stability at out-centre loading are shown. Ways to eliminate these shortcomings with the help of special equipment are specified. Tests by the proposed methods allow to make recommendations for technology and choice of steels at creation of valve tapes

Why is it difficult to implement e-health initiatives? A qualitative study

<b>Background</b> The use of information and communication technologies in healthcare is seen as essential for high quality and cost-effective healthcare. However, implementation of e-health initiatives has often been problematic, with many failing to demonstrate predicted benefits. This study aimed to explore and understand the experiences of implementers - the senior managers and other staff charged with implementing e-health initiatives and their assessment of factors which promote or inhibit the successful implementation, embedding, and integration of e-health initiatives.<p></p> <b>Methods</b> We used a case study methodology, using semi-structured interviews with implementers for data collection. Case studies were selected to provide a range of healthcare contexts (primary, secondary, community care), e-health initiatives, and degrees of normalization. The initiatives studied were Picture Archiving and Communication System (PACS) in secondary care, a Community Nurse Information System (CNIS) in community care, and Choose and Book (C&B) across the primary-secondary care interface. Implementers were selected to provide a range of seniority, including chief executive officers, middle managers, and staff with 'on the ground' experience. Interview data were analyzed using a framework derived from Normalization Process Theory (NPT).<p></p> <b>Results</b> Twenty-three interviews were completed across the three case studies. There were wide differences in experiences of implementation and embedding across these case studies; these differences were well explained by collective action components of NPT. New technology was most likely to 'normalize' where implementers perceived that it had a positive impact on interactions between professionals and patients and between different professional groups, and fit well with the organisational goals and skill sets of existing staff. However, where implementers perceived problems in one or more of these areas, they also perceived a lower level of normalization.<p></p> <b>Conclusions</b> Implementers had rich understandings of barriers and facilitators to successful implementation of e-health initiatives, and their views should continue to be sought in future research. NPT can be used to explain observed variations in implementation processes, and may be useful in drawing planners' attention to potential problems with a view to addressing them during implementation planning

The integrated dynamic land use and transport model MARS

Cities worldwide face problems like congestion or outward migration of businesses. The involved transport and land use interactions require innovative tools. The dynamic Land Use and Transport Interaction model MARS (Metropolitan Activity Relocation Simulator) is part of a structured decision making process. Cities are seen as self organizing systems. MARS uses Causal Loop Diagrams from Systems Dynamics to explain cause and effect relations. MARS has been benchmarked against other published models. A user friendly interface has been developed to support decision makers. Its usefulness was tested through workshops in Asia. This paper describes the basis, capabilities and uses of MARS

Breeding Biology of Atlantic Population Canada Geese in Nunavik, Northern Québec

The Atlantic population of Canada Geese (Branta canadensis interior) experienced a sharp decline in numbers in the late 1980s. Management agencies in Canada and the United States responded by implementing several measures, notably closing sport hunting seasons for a number of years in most Atlantic Flyway states and provinces and funding a research project to study the nesting ecology and the factors affecting productivity of this goose population. In this paper we present the nesting phenology and breeding biology of Atlantic population Canada Geese on their tundra nesting grounds in Nunavik, Québec, specifically on a primary study area (32.8 km2) along Hudson Bay (1997–2003) and on several secondary sites (most smaller than 1 km2) distributed along the coastal lowlands of Hudson Bay and Ungava Bay (1996–2005). In the late 1990s the population rebounded, with strong increases in the population of breeding pairs and the density of nests between 1996 and 2001, followed by stabilization of both variables from 2001 to 2005. As a result, there was a near doubling in productivity index (the number of goslings produced per km2) on the primary study area, from 17.9 in 1997 to 32.0 in 2003. Geese start laying eggs soon after snow disappears from their nesting grounds. On the primary study area, for all years pooled, mean clutch initiation date, clutch size, hatching date, and Mayfield nesting success were 27 May, 4.54 eggs, 26 June, and 67.3%, respectively. Among secondary sites along both Hudson Bay and Ungava Bay, we found a correlation between the annual average daily temperature for 4–24 May (the period leading up to egg-laying) and the annual mean clutch initiation date: higher temperatures were correlated with earlier initiation. Similarly, an earlier annual mean clutch initiation date was correlated with large mean clutch size.La population de l’Atlantique de la bernache du Canada (Branta canadensis interior) a subi un déclin prononcé à la fin des années 1980. Les organismes chargés de la gestion de la faune au Canada et aux États-Unis ont réagi en mettant en place plusieurs mesures. Ils ont notamment fermé la saison de chasse sportive dans la plupart des États et provinces de la voie migratoire de la population de l’Atlantique pendant un certain nombre d’années et financé un projet de recherche sur l’écologie de la nidification et sur les facteurs limitant la productivité de cette population. Dans le présent article, nous décrivons la phénologie de la nidification et la biologie de la reproduction de la population de l’Atlantique de la bernache du Canada dans son aire de nidification de la toundra du Nunavik (Québec), plus précisément dans une aire d’étude principale (32,8 km2) établie en bordure de la baie d’Hudson (1997 – 2003) et dans plusieurs sites secondaires de superficie plus modeste (dans la plupart des cas, inférieure à 1 km2) disséminés dans les basses-terres côtières de la baie d’Hudson et de la baie d’Ungava (1996 – 2005). À la fin des années 1990, la population a rebondi, le nombre de couples nicheurs et la densité des nids augmentant fortement entre 1996 et 2001 pour ensuite se stabiliser de 2001 à 2005. Par suite de ce redressement, le nombre d’oisons produits par kilomètre carré a presque doublé (indice de productivité) dans l’aire d’étude principale, passant de 17,9 en 1997 à 32,0 en 2003. La ponte débute peu après la disparition de la neige dans les sites de nidification. Dans l’aire d’étude principale, nous avons enregistré les valeurs moyennes suivantes (années regroupées) : début de la période de ponte : 27 mai; taille des couvées : 4,54 oeufs; premières éclosions : 26 juin; succès de la nidification en mai : 67,3 %. Aux sites secondaires, en bordure de la baie d’Hudson et de la baie d’Ungava, nous avons relevé une corrélation entre la température journalière moyenne annuelle pour la période du 4 au 24 mai (période précédant le début de la période de ponte) et la date annuelle moyenne du début de la ponte: les températures plus élevées donnaient une corrélation avec un début de période de ponte plus hâtif. De même, une date annuelle moyenne plus hâtive du début de la ponte a été corrélée avec une grande taille moyenne des couvées

Comparative Analysis of Tandem Repeats from Hundreds of Species Reveals Unique Insights into Centromere Evolution

Centromeres are essential for chromosome segregation, yet their DNA sequences evolve rapidly. In most animals and plants that have been studied, centromeres contain megabase-scale arrays of tandem repeats. Despite their importance, very little is known about the degree to which centromere tandem repeats share common properties between different species across different phyla. We used bioinformatic methods to identify high-copy tandem repeats from 282 species using publicly available genomic sequence and our own data. The assumption that the most abundant tandem repeat is the centromere DNA was true for most species whose centromeres have been previously characterized, suggesting this is a general property of genomes. Our methods are compatible with all current sequencing technologies. Long Pacific Biosciences sequence reads allowed us to find tandem repeat monomers up to 1,419 bp. High-copy centromere tandem repeats were found in almost all animal and plant genomes, but repeat monomers were highly variable in sequence composition and in length. Furthermore, phylogenetic analysis of sequence homology showed little evidence of sequence conservation beyond ~50 million years of divergence. We find that despite an overall lack of sequence conservation, centromere tandem repeats from diverse species showed similar modes of evolution, including the appearance of higher order repeat structures in which several polymorphic monomers make up a larger repeating unit. While centromere position in most eukaryotes is epigenetically determined, our results indicate that tandem repeats are highly prevalent at centromeres of both animals and plants. This suggests a functional role for such repeats, perhaps in promoting concerted evolution of centromere DNA across chromosomes

A Mixed-Integer Programming Model for Optimal Allocation of COVID-19 Vaccines in Davao City

With the emergence of COVID-19 in Davao City, the need to acquire herd immunity through vaccination is paramount in averting the further spread of the disease in addition to complying with health and safety protocols. This study presents a reformulation of Smalley et al.’s (2015) oral cholera vaccine—mixed-integer programming model (OCV-MIP) to fit the context of the COVID-19 vaccination campaign in the city for 5 years, with consideration of the possible need for annual revaccination, given limited supply and budget resources, to minimize COVID-19 cases further. The population is divided into subgroups with associated incidence rates serving as the basis for the optimal allocation of vaccines. Different ways of population stratification by some combinations of risk areas and age group divisions were explored. The results revealed that it is optimal to prioritize the vaccination of subgroups with the highest incidence rates. Keywords: forecasting · COVID-19 · Davao City · LINGO · Mixed-Integer Programming · Optimization · Philippines · SARS-CoV-2 · Vaccine

Collaboration between Science and Religious Education teachers in Scottish Secondary schools

The article reports on quantitative research that examines: (1) the current practice in collaboration; and (2) potential for collaboration between Science and Religious Education teachers in a large sample of Scottish secondary schools. The authors adopt and adapt three models (conflict; concordat and consonance) to interrogate the relationship between science and religion (and the perceived relation between these two subjects in schools) (Astley and Francis 2010). The findings indicate that there is evidence of limited collaboration and, in a few cases, a dismissive attitude towards collaboration (conflict and concordat and very weak consonance). There is, however, evidence of a genuine aspiration for greater collaboration among many teachers (moving towards a more robust consonance model). The article concludes by discussing a number of key factors that must be realised for this greater collaboration to be enacted

Qualitative interviews results from heart failure survey respondents on the interaction between symptoms and burden of self-care work.

AIMS AND OBJECTIVES: Following a cross-sectional survey, a sub-sample of participants was interviewed to explore the interaction between symptoms and burden of treatment. BACKGROUND: Burden of treatment considers both the work associated with illness and treatment, including self-care work, as well as the individuals' capabilities and resources to engage in that work. The recent survey revealed the existence of a complex interaction. DESIGN: Qualitative abductive analysis of semi-structured interviews. METHODS: Adults with heart failure who participated in the survey were purposely sampled and invited to participate in semi-structured interviews. Location and mode of interview varied by participant choice. Excerpts from the verbatim transcripts were assessed for interactions between symptoms and burden of treatment, and when identified these were characterised and explained. We followed COREQ checklist for reporting. The patient research ambassador group was involved from research design to dissemination. RESULTS: Participants (n = 32) consistently discussed how symptoms altered their capability to engage in self-care work. As symptom intensity increased the difficultly of their self-care work increased. A number of intervening factors appeared to influence the relationship between symptoms and burden of treatment. Intervening factors included illness pathology, illness identity, the value of the tasks attempted and available support structures. These factors may change how symptoms and burden of treatment are perceived; a model was constructed to explain and summarise these interactions. CONCLUSIONS: The interaction between symptoms and burden of treatment is complex. Intervening factors-illness identity and pathology, task value and performance, and available support structures-appear to exert a strong influence on the interaction between symptoms and burden of treatment. RELEVANCE TO CLINICAL PRACTICE: These intervening factors present clinicians and researchers with opportunities to develop interventions that might reduce burden of treatment and improve symptoms and quality of life. CLINICAL TRIAL REGISTRATION: SYMPACT was registered with ISRCTN registry: ISRCTN11011943