Statistics of matrix elements of local operators in integrable models

We study the statistics of matrix elements of local operators in the basis of energy eigenstates in a paradigmatic integrable many-particle quantum theory, the Lieb-Liniger model of bosons with repulsive delta-function interaction. Using methods of quantum integrability we determine the scaling of matrix elements with system size. As a consequence of the extensive number of conservation laws the structure of matrix elements is fundamentally different from, and much more intricate than, the predictions of the eigenstate thermalization hypothesis for generic models. We uncover an interesting connection between this structure for local operators in interacting integrable models, and the one for local operators that are not local with respect to the elementary excitations in free theories. We find that typical off-diagonal matrix elements $\langle\boldsymbol{\mu}|O|\boldsymbol{\lambda}\rangle$ in the same macro-state scale as $\exp(-c^{ O}L\ln(L)-LM^{O}_{\boldsymbol{\mu},\boldsymbol{\lambda}})$ where the probability distribution function for $M^{O}_{\boldsymbol{\mu},\boldsymbol{\lambda}}$ are well described by Fr\'echet distributions and $c^{O}$ depends only on macro-state information. In contrast, typical off-diagonal matrix elements between two different macro-states scale as $\exp(-d^{ O}L^2)$, where $d^{O}$ depends only on macro-state information. Diagonal matrix elements depend only on macro-state information up to finite-size corrections.Comment: 30 pages, 40 figure

New approximations for the cone of copositive matrices and its dual

We provide convergent hierarchies for the cone C of copositive matrices and its dual, the cone of completely positive matrices. In both cases the corresponding hierarchy consists of nested spectrahedra and provide outer (resp. inner) approximations for C (resp. for its dual), thus complementing previous inner (resp. outer) approximations for C (for the dual). In particular, both inner and outer approximations have a very simple interpretation. Finally, extension to K-copositivity and K-complete positivity for a closed convex cone K, is straightforward.Comment: 8

Learning to belong: Navigating liminal spaces between disciplinary and teaching identities

The continuous professional learning of academics as university teachers is a national imperative in South Africa. At our university, a Postgraduate Diploma in Education (Higher Education) was introduced in 2015 with the aim to professionalise university teaching through a formal qualification. Students (i.e., candidates) must transition in two ways: firstly, from being disciplinary specialists to being students again; and secondly, into the community of scholarly teaching in higher education. This article examines the liminality experienced by candidates as they navigate the programme and learn to belong to a new scholarly teaching community. Drawing on empirical data collected from graduates and programme coordinators, the authors track candidates’ shifting identities and showcase how, though initially turbulent and unsettling, the process of learning to belong to a new teaching identity can be rewarding and enriching. The authors conclude by discussing the conditions required to enable candidates to acquire a strong university-teacher identity

Adolescent dietary patterns are associated with lifestyle family psycho-social factors

Background/ Objectives: Dietary intake during adolescence contributes to lifelong eating habits and the development of early risk factors for disease in adulthood. Few studies have examined the dietary patterns of adolescents and the social and environmental factors that may affect them during this life stage. The present study describes dietary patterns in a cohort of adolescents and examines their associations with socioeconomic factors, as well as parental and adolescent risk factor behaviours. Design: A semi quantitative FFQ was used to assess study adolescents’ usual dietary intake over the previous year. Information was collected on family functioning and various socio economic and risk factor variables via questionnaire. Adolescents visited the clinic for anthropometric measurements. Setting: The Western Australian Pregnancy Cohort Study (Raine Study), Perth, Western Australia. Subjects: Adolescents (n 1631) aged 14 years from a pregnancy cohort study. Results: Factor analysis identified two distinct dietary patterns that differed predominantly in fat and sugar intakes. The ‘Western’ pattern consisted of high intakes of take away foods, soft drinks, confectionery, French fries, refined grains, full fat dairy products and processed meats. The ‘Healthy’’ pattern included high intakes of whole grains, fruit, vegetables, legumes and fish. ANOVA showed that the ‘Western’ dietary pattern was positively associated with greater television viewing and having a parent that smoked, and was inversely associated with family income. The ‘Healthy’’ pattern was positively associated with female gender, greater maternal education, better family functioning and being in a two parent family, and was inversely associated with television viewing. Conclusions: This study suggests that both lifestyle factors and family psycho social environment are related to eating patterns in Australian adolescents

Decreased blood–brain barrier P-glycoprotein function in the progression of Parkinson’s disease, PSP and MSA

Decreased blood–brain barrier (BBB) efflux function of the P-glycoprotein (P-gp) transport system could facilitate the accumulation of toxic compounds in the brain, increasing the risk of neurodegenerative pathology such as Parkinson’s disease (PD). This study investigated in vivo BBB P-gp function in patients with parkinsonian neurodegenerative syndromes, using [11C]-verapamil PET in PD, PSP and MSA patients. Regional differences in distribution volume were studied using SPM with higher uptake interpreted as reduced P-gp function. Advanced PD patients and PSP patients had increased [11C]-verapamil uptake in frontal white matter regions compared to controls; while de novo PD patients showed lower uptake in midbrain and frontal regions. PSP and MSA patients had increased uptake in the basal ganglia. Decreased BBB P-gp function seems a late event in neurodegenerative disorders, and could enhance continuous neurodegeneration. Lower [11C]-verapamil uptake in midbrain and frontal regions of de novo PD patients could indicate a regional up-regulation of P-gp function

Combining Radiotherapy With Anti-angiogenic Therapy and Immunotherapy; A Therapeutic Triad for Cancer?

Radiotherapy has been used for the treatment of cancer for over a century. Throughout this period, the therapeutic benefit of radiotherapy has continuously progressed due to technical developments and increased insight in the biological mechanisms underlying the cellular responses to irradiation. In order to further improve radiotherapy efficacy, there is a mounting interest in combining radiotherapy with other forms of therapy such as anti-angiogenic therapy or immunotherapy. These strategies provide different opportunities and challenges, especially with regard to dose scheduling and timing. Addressing these issues requires insight in the interaction between the different treatment modalities. In the current review, we describe the basic principles of the effects of radiotherapy on tumor vascularization and tumor immunity and vice versa. We discuss the main strategies to combine these treatment modalities and the hurdles that have to be overcome in order to maximize therapeutic effectivity. Finally, we evaluate the outstanding questions and present future prospects of a therapeutic triad for cancer

Biliary tract visualization using near-infrared imaging with indocyanine green during laparoscopic cholecystectomy: results of a systematic review

Contains fulltext : 174508.pdf (publisher's version ) (Open Access)BACKGROUND: Near-infrared imaging with indocyanine green (ICG) has been extensively investigated during laparoscopic cholecystectomy (LC). However, methods vary between studies, especially regarding patient selection, dosage and timing. The aim of this systematic review was to evaluate the potential of the near-infrared imaging technique with ICG to identify biliary structures during LC. METHODS: A comprehensive systematic literature search was performed. Prospective trials examining the use of ICG during LC were included. Primary outcome was biliary tract visualization. Risk of bias was assessed using ROBINS-I. Secondly, a meta-analysis was performed comparing ICG to intraoperative cholangiography (IOC) for identification of biliary structures. GRADE was used to assess the quality of the evidence. RESULTS: Nineteen studies were included. Based upon the pooled data from 13 studies, cystic duct (Lusch et al. in J Endourol 28:261-266, 2014) visualization was 86.5% (95% CI 71.2-96.6%) prior to dissection of Calot's triangle with a 2.5-mg dosage of ICG and 96.5% (95% CI 93.9-98.4%) after dissection. The results were not appreciably different when the dosage was based upon bodyweight. There is moderate quality evidence that the CD is more frequently visualized using ICG than IOC (RR 1.16; 95% CI 1.00-1.35); however, this difference was not statistically significant. CONCLUSION: This systematic review provides equal results for biliary tract visualization with near-infrared imaging with ICG during LC compared to IOC. Near-infrared imaging with ICG has the potential to replace IOC for biliary mapping. However, methods of near-infrared imaging with ICG vary. Future research is necessary for optimization and standardization of the near-infrared ICG technique

Dietary patterns and markers for the metabolic syndrome in Australian adolescents

Background and Aims: Overweight and other risk factors for cardiovascular disease (CVD) as well as their clustering, or the metabolic syndrome, are increasingly prevalent among children and adolescents. We examined dietary patterns, CVD risk factors, and the clustering of these risk factors, in 1139 14 year olds living in Western Australia. Methods and Results: Usual dietary intake was assessed with a food frequency questionnaire. Two dietary patterns, ‘Western’ and ‘Healthy’, were identified using factor analysis. Associations between these dietary patterns and BMI, waist circumference, systolic blood pressure, fasting levels of serum glucose, insulin, total cholesterol, HDL C, LDL C, triglycerides and insulin resistance were assessed using ANOVA. Cluster analysis identified a high risk group (the “high risk metabolic cluster’) with features akin to adult metabolic syndrome. Belonging to the high risk metabolic cluster was examined in relation to dietary patterns using logistic regression, adjusting for aerobic fitness and socio demographic factors. Higher ‘Western’ dietary pattern scores were associated with greater odds for the ‘high risk metabolic cluster’ (p for trend =0.02) and greater mean values for total cholesterol (p for trend=0.03), waist circumference (p for trend=0.03) and BMI (p for trend =0.02) in girls, but not boys. Scores for the ‘Healthy’ dietary pattern were not related to the ‘high risk metabolic cluster but were inversely associated with serum glucose in boys and girls (p for trend=0.01 and 0.04, respectively) and were positively associated with HDL C in boys (p for trend=0.02). Conclusions: Dietary patterns are associated with CVD risk factors and the clustering of these risk factors in adolescence