Absence of epidemic threshold in scale free networks with degree correlations

Random scale-free networks have the peculiar property of being prone to the spreading of infections. Here we provide for the susceptible-infected-susceptible model an exact result showing that a scale-free degree distribution with diverging second moment is a sufficient condition to have null epidemic threshold in unstructured networks with either assortative or disassortative mixing. Degree correlations result therefore irrelevant for the epidemic spreading picture in these scale-free networks. The present result is related to the divergence of the average nearest neighbors degree, enforced by the degree detailed balance condition.

Tuning clustering in random networks with arbitrary degree distributions

We present a generator of random networks where both the degree-dependent clustering coefficient and the degree distribution are tunable. Following the same philosophy as in the configuration model, the degree distribution and the clustering coefficient for each class of nodes of degree k are fixed ad hoc and a priori. The algorithm generates corresponding topologies by applying first a closure of triangles and second the classical closure of remaining free stubs. The procedure unveils an universal relation among clustering and degree-degree correlations for all networks, where the level of assortativity establishes an upper limit to the level of clustering. Maximum assortativity ensures no restriction on the decay of the clustering coefficient whereas disassortativity sets a stronger constraint on its behavior. Correlation measures in real networks are seen to observe this structural bound.

Spectrum of gluten sensitive enteropathy in first degree relatives of patients with coeliac disease: clinical relevance of lymphocytic enteritis.

Background: Limited data on a short series of patients suggest that lymphocytic enteritis (classically considered as latent coeliac disease) may produce symptoms of malabsorption, although the true prevalence of this situation is unknown. Serological markers of coeliac disease are of little diagnostic value in identifying these patients. Aims: To evaluate the usefulness of human leucocyte antigen-DQ2 genotyping followed by duodenal biopsy for the detection of gluten-sensitive enteropathy in first-degree relatives of patients with coeliac disease and to assess the clinical relevance of lymphocytic enteritis diagnosed with this screening strategy. Patients and methods: 221 first-degree relatives of 82 DQ2+ patients with coeliac disease were consecutively included. Duodenal biopsy (for histological examination and tissue transglutaminase antibody assay in culture supernatant) was carried out on all DQ2+ relatives. Clinical features, biochemical parameters and bone mineral density were recorded. Results: 130 relatives (58.8%) were DQ2+, showing the following histological stages: 64 (49.2%) Marsh 0; 32 (24.6%) Marsh I; 1 (0.8%) Marsh II; 13 (10.0%) Marsh III; 15.4% refused the biopsy. 49 relatives showed gluten sensitive enteropathy, 46 with histological abnormalities and 3 with Marsh 0 but positive tissue transglutaminase antibody in culture supernatant. Only 17 of 221 relatives had positive serological markers. Differences in the diagnostic yield between the proposed strategy and serology were significant (22.2% v 7.2%, p<0.001). Relatives with Marsh I and Marsh II¿III were more often symptomatic (56.3% and 53.8%, respectively) than relatives with normal mucosa (21.1%; p=0.002). Marsh I relatives had more severe abdominal pain (p=0.006), severe distension (p=0.047) and anaemia (p=0.038) than those with Marsh 0. The prevalence of abnormal bone mineral density was similar in relatives with Marsh I (37%) and Marsh III (44.4%). Conclusions: The high number of symptomatic patients with lymphocytic enteritis (Marsh I) supports the need for a strategy based on human leucocyte antigen-DQ2 genotyping followed by duodenal biopsy in relatives of patients with coeliac disease and modifies the current concept that villous atrophy is required to prescribe a gluten-free diet.

Eliciting preferences for collectively financed health programmes : the "willingness to assign" approach

Improving public involvement in health system decision making stands as a primary goal in health systems reform. However, still limited evidence is found on how best to elicit preferences for health care programs. This paper examines a contingent choice technique to elicit preferences among health programs so called, willingness to assign (WTAS): Moreover, we elicited contingents rankings as well as the willingness to pay extra taxes for comparative purposes. We argue that WTAS reveals relative ( monetary-based) values of a set of competing public programmes under a hypothetical healthcare budget assessment. Experimental evidence is reported from a delibertive empirical study valuing ten health programmes in the context of the Catalan Health Services. Evidence from a our experimental study reveals that perferences are internally more consistent and slightly less affected by "preference reversals" as compared to values revealed from the willingness to pay (WTP) extra taxes approach. Consistent with prior studies, we find that the deliberative approach helped to avoid possible misunderstandings. Interestingly, although programmes promoting health received the higher relative valuation, those promoting other health benefits also ranked highly

Family impact in intellectual disability, severe mental health disorders and mental health disorders in ID. A comparison

Family impact (or family burden) is a concept born in the field of mental health that has successfully been exported to the ambit of intellectual disability (ID). However, differences in family impact associated with severe mental health disorders (schizophrenia), to ID or to mental health problems in ID should be expected. Seventy-two adults with intellectual disability clients of the Carmen Pardo-Valcarce Foundation's sheltered workshops and vocational employment programmes in Madrid (Spain), 203 adults diagnosed with schizophrenia from four Spanish Community Mental Health Services (Barcelona, Madrid, Granada and Navarra) and 90 adults with mental health problems in ID (MH-ID) from the Parc Sanitari Sant Joan de Déu Health Care Site in Sant Boi de Llobregat, Barcelona (Spain) were asked to participate in the present study along with their main caregivers. Family impact experienced by caregivers was assessed with the ECFOS-II/SOFBI-II scale (Entrevista de Carga Familiar Objetiva y Subjetiva/Objective and Subjective Family Burden Interview). In global terms, results showed that the higher family impact was found between caregivers to people with MH-ID. The interaction of both conditions (ID and mental health problems) results in a higher degree of burden on families than when both conditions are presented separately. There was also an impact in caregivers to people with schizophrenia, this impact being higher than the one detected in caregivers to people with intellectual disability. Needs of caregivers to people with disability should be addressed specifically in order to effectively support families.

Four decades of the independent study programmes

Sobre l'Independent Studies Programme (ISP) i el Programa d’Estudis Independents (PEI) del MACBA

A note on the degree sequences of graphs with restrictions

Degree sequences of some types of graphs will be studied and characterizedin this paper.

An induction programme for Bologna first-year bachelor’s degree students in Spain

Introduction. The current study describes the planning process and aims of the university reforms in Spain and suggests an innovative proposal, namely the design and evaluation of a week-long induction programme for first-year bachelor‟s degree students at the University of Lleida (Spain), organised within the European higher education framework. The purpose of this induction programme is to help new students adapt to university life. Method. A total of 102 students and ten lecturers were involved in the study. These participants responded questionnaires and interviews. We contrasted all the results in order to obtain some results that were useful to evaluate the induction programmee which the University introduced in the first four degrees. Results. Findings of the study revealed that participants gave very positive feedback regarding the programme, and the results also highlighted areas which could be improved. Conclusion. The new proposals clearly require a higher level of staff participation to make them work, highlighting the need for appropriate training of university staff and improving coordination with appropriate systems.

Integrability of a linear center perturbed by a fourth degree homogeneous polynomial

In this work we study the integrability of a two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fourth degree. We give sufficient conditions for integrability in polar coordinates. Finally we establish a conjecture about the independence of the two classes of parameters which appear in the system; if this conjecture is true the integrable cases found will be the only possible ones.

Integrability of a linear center perturbed by a fifth degree homogeneous polynomial

In this work we study the integrability of two-dimensional autonomous system in the plane with linear part of center type and non-linear part given by homogeneous polynomials of fifth degree. We give a simple characterisation for the integrable cases in polar coordinates. Finally we formulate a conjecture about the independence of the two classes of parameters which appear on the system; if this conjecture is true the integrable cases found will be the only possible ones.

El contexto escolar como escenario de educación superior en la formación de docentes. El prácticum en Quebec como modelo para reflexionar ante las nuevas titulaciones de grado

El diseño de los planes de estudio para las nuevas titulaciones de grado de Magisterio constituye, por su carácter profesionalizador basado en competencias y la ampliación de los estudios a cuatro cursos, una oportunidad para las facultades de educación de mejora de la calidad de la formación inicial de maestros. Gran parte del incremento de los créditos se destina a la ampliación de los periodos de prácticas en los centros escolares colaboradores. Se trata de un escenario de cambio profundo que deberá replantear la organización y revisar los modelos. La experiencia en Quebec nos proporciona elementos de análisis y de reflexión con la finalidad de llegar a orientaciones y a conclusiones transferibles a la organización de estos planes de estudio y para integrar el prácticum en una visión global e interdisciplinaria de la titulación.

Why Mathematics is essential in Biomedical Sciences degree?

Improvement of mathematical education and motivation of students in the mathematics" area is needed. What can be done? We introduce some ideas to generate the student"s interest for mathematics, because they often present difficulties in appreciating the relevance of mathematics and its role in the health sciences. We consider that a cornerstone in the strategy to attract the students" interest is linking the mathematics with real biomedical situations. We proceed in the following manner: We first present a real biomedical situation to produce interest and to generate curiosity. Second, we ask thought-provoking questions to students as: Which is the biomedical problem presented? Which is my knowledge on this situation? What could I do to solve this biomedical situation? Do I need some new mathematical concepts and procedures? Thereupon, the teacher explains the mathematical concepts necessary to solve the case presented, providing definitions, properties and tools for graphical display and/or mathematical calculations. In this learning methodology, ICTs were cornerstones for reaching the proposed competences. Furthermore, ICTs can also be used in the evaluative task in its two possible aspects: formative and for obtaining a qualification. Comments from students about this new mathematics teaching method indicate that the use of real biomedical case studies kept the lessons in mathematics interesting.

Percolation of spatially constrained Erdos-R enyi networks with degree correlations

Motivated by experiments on activity in neuronal cultures [J. Soriano, M. Rodr ́ıguez Mart́ınez, T. Tlusty, and E. Moses, Proc. Natl. Acad. Sci. 105, 13758 (2008)], we investigate the percolation transition and critical exponents of spatially embedded Erd̋os-Ŕenyi networks with degree correlations. In our model networks, nodes are randomly distributed in a two-dimensional spatial domain, and the connection probability depends on Euclidian link length by a power law as well as on the degrees of linked nodes. Generally, spatial constraints lead to higher percolation thresholds in the sense that more links are needed to achieve global connectivity. However, degree correlations favor or do not favor percolation depending on the connectivity rules. We employ two construction methods to introduce degree correlations. In the first one, nodes stay homogeneously distributed and are connected via a distance- and degree-dependent probability. We observe that assortativity in the resulting network leads to a decrease of the percolation threshold. In the second construction methods, nodes are first spatially segregated depending on their degree and afterwards connected with a distance-dependent probability. In this segregated model, we find a threshold increase that accompanies the rising assortativity. Additionally, when the network is constructed in a disassortative way, we observe that this property has little effect on the percolation transition.

Passport to a profession in the degree of pharmacy: how to integrate university students into the real world of work: "Passport to a profession in Pharmacy"

The incorporation of the Spanish university system into the European Higher Education Areahas brought about a series of adaptations. Among the recommendations is the inclusion ofan external training period in a company, which has resulted in significant changes in thedegree syllabus in order to balance the theoretical and practical education required by thestudents. This new framework has been legally confirmed by the Spanish Government and, inthe case of the University of Barcelona, by the publication of internal guidelines. Takingadvantage of this new opportunity to adapt the Pharmacy degree to real-world problems inindustry, the Dean’s team of the Faculty of Pharmacy, with the support of the Facultyadministrative staff and the Students Advisory Service, have assumed the challenge ofincluding a new subject in the syllabus entitled Training in Companies.In parallel, a new activity has been set up to ensure that the students choose the mostsuitable company department/job for them and to help them pass the company interview.Under the name of Passport to a Profession, a series of ten explanatory talks has beenscheduled every academic year. These talks deal with a broad range of topics aimed atproviding the students with the basic tools they will need to make the most of a companytraining period and to make headway in the professional world when they finish theirdegree. In addition, three Faculty of Pharmacy-Pharmaceutical company workshops and tworound-table conferences have been held in the last two years in order to bring the universityand industry together. Notably, the project to provide students with company training isexpanding on an international level, with two to three undergraduate students contractedevery year by a United Kingdom-based multinational pharmaceutical company.The statistical data of the whole process has been analysed for a more in-depthunderstanding of the activity and to improve the programme.

Networks of noisy oscillators with correlated degree and frequency dispersion

We investigate how correlations between the diversity of the connectivity of networks and the dynamics at their nodes affect the macroscopic behavior. In particular, we study the synchronization transition of coupled stochastic phase oscillators that represent the node dynamics. Crucially in our work, the variability in the number of connections of the nodes is correlated with the width of the frequency distribution of the oscillators. By numerical simulations on Erdös-Rényi networks, where the frequencies of the oscillators are Gaussian distributed, we make the counterintuitive observation that an increase in the strength of the correlation is accompanied by an increase in the critical coupling strength for the onset of synchronization. We further observe that the critical coupling can solely depend on the average number of connections or even completely lose its dependence on the network connectivity. Only beyond this state, a weighted mean-field approximation breaks down. If noise is present, the correlations have to be stronger to yield similar observations.