Averages of Fourier coefficients of Siegel modular forms and representation of binary quadratic forms by quadratic forms in four variables

Let $-d$ be a a negative discriminant and let $T$ vary over a set of representatives of the integral equivalence classes of integral binary quadratic forms of discriminant $-d$. We prove an asymptotic formula for $d \to \infty$ for the average over $T$ of the number of representations of $T$ by an integral positive definite quaternary quadratic form and obtain results on averages of Fourier coefficients of linear combinations of Siegel theta series. We also find an asymptotic bound from below on the number of binary forms of fixed discriminant $-d$ which are represented by a given quaternary form. In particular, we can show that for growing $d$ a positive proportion of the binary quadratic forms of discriminant $-d$ is represented by the given quaternary quadratic form.Comment: v5: Some typos correcte

Rising Rates of All Types of Diabetes in South Asian and Non-South Asian Children and Young People Aged 0–29 Years in West Yorkshire, U.K., 1991–2006

OBJECTIVE: To investigate incidence trends of all diabetes types in all children and young people and in the south Asian subpopulation. RESEARCH DESIGN AND METHODS: Annual incidence per 100,000 and time trends (1991-2006) were analyzed for 2,889 individuals aged 0-29 years diagnosed with diabetes while resident in West Yorkshire, U.K. RESULTS: Diagnoses comprised type 1 (83%), type 2 (12%), maturity-onset diabetes of the young (0.7%), "J"-type/other (0.1%), and uncertain/unclassified (4%). There was a lower incidence of type 1 and a threefold excess of type 2 in south Asians compared with non-south Asians. Type 1 incidence leveled out and type 2 increased after the first south Asian case of type 2 was diagnosed in 1999. Type 2 and unclassified diabetes incidence rose in all population subgroups. CONCLUSIONS: The burden of diabetes increased over time for both ethnic groups, with a significant excess of type 2 diabetes in south Asians. The rising incidence of type 1 diabetes in south Asians attenuated as type 2 diabetes increased after 1999

Sex-Based Differences in Outcomes Following Peripheral Artery Revascularization: Insights From VOYAGER PAD.

Background Despite high female prevalence of peripheral artery disease (PAD), little is known about sex-based outcomes after lower extremity revascularization (LER) for symptomatic PAD. The effects of rivaroxaban according to sex following LER have not been fully reported. Methods and Results In VOYAGER PAD (Vascular Outcomes Study of ASA [acetylsalicylic acid] Along with Rivaroxaban in Endovascular or Surgical Limb Revascularization for Peripheral Artery Disease), low-dose rivaroxaban versus placebo on a background of aspirin reduced the composite primary efficacy outcome of cardiovascular and limb events in patients with PAD undergoing LER. Unplanned index limb revascularization was prespecified and prospectively ascertained. The primary safety outcome was Thrombolysis in Myocardial Infarction major bleeding. Analyses of outcomes and treatment effects by sex were performed using Cox proportional hazards models. Among 6564 randomly assigned patients followed for a median of 28 months, 1704 (26.0%) were women. Among patients administered placebo, women were at similar risk for the primary efficacy outcome (hazard ratio [HR], 0.90; [95% CI, 0.74-1.09]; P=0.29) as men, while female sex was associated with a trend toward higher risk of unplanned index limb revascularization (HR, 1.18; [95% CI, 1.00-1.40]; P=0.0499). Irrespective of sex, effects of rivaroxaban were consistent for the primary efficacy outcome (P-interaction=0.22), unplanned index limb revascularization (P-interaction=0.64), and bleeding (P-interaction=0.61). Women were more likely than men to discontinue study treatment (HR, 1.13; [95% CI, 1.03-1.25]; P=0.0099). Conclusions Among >1700 women with PAD undergoing LER, women and men were at similar risk for the primary outcome, but a trend for greater risk of unplanned index limb revascularization among women was observed. Effects of rivaroxaban were consistent by sex, though women more often discontinued treatment. Better understanding of sex-based outcomes and treatment adherence following LER is needed. Registration URL: http://clinicaltrials.gov; Unique identifier: NCT02504216

Zebrafish globin switching occures in two developmental stages and is controlled by the LCR

Globin gene switching is a complex, highly regulated process allowing expression of distinct globin genes at specific developmental stages. Here, for the first time, we have characterized all of the zebrafish globins based on the completed genomic sequence. Two distinct chromosomal loci, termed major (chromosome 3) and minor (chromosome 12), harbor the globin genes containing α/β pairs in a 5'-3' to 3'-5' orientation. Both these loci share synteny with the mammalian α-globin locus. Zebrafish globin expression was assayed during development and demonstrated two globin switches, similar to human development. A conserved regulatory element, the locus control region (LCR), was revealed by analyzing DNase I hypersensitive sites, H3K4 trimethylation marks and GATA1 binding sites. Surprisingly, the position of these sites with relation to the globin genes is evolutionarily conserved, despite a lack of overall sequence conservation. Motifs within the zebrafish LCR include CACCC, GATA, and NFE2 sites, suggesting functional interactions with known transcription factors but not the same LCR architecture. Functional homology to the mammalian α-LCR MCS-R2 region was confirmed by robust and specific reporter expression in erythrocytes of transgenic zebrafish. Our studies provide a comprehensive characterization of the zebrafish globin loci and clarify the regulation of globin switching

Total Cardiovascular and Limb Events and the Impact of Polyvascular Disease in Chronic Symptomatic Peripheral Artery Disease.

Background Peripheral artery disease (PAD) is associated with heightened risk for major adverse cardiovascular and limb events, but data on the burden of risk for total (first and potentially subsequent) events, and the association with polyvascular disease, are limited. This post hoc analysis of the EUCLID (Examining Use of Ticagrelor in Peripheral Artery Disease) trial evaluated total cardiovascular and limb events among patients with symptomatic PAD, overall and by number of symptomatic vascular territories. Methods and Results In the EUCLID trial, patients with symptomatic PAD (lower extremity revascularization >30 days before randomization or ankle-brachial index ≤0.80) were randomized to treatment with ticagrelor or clopidogrel. Relative effects on total events (cardiovascular death; nonfatal myocardial infarction and ischemic stroke; acute limb ischemia, unstable angina, and transient ischemic attack requiring hospitalization; coronary, carotid, and peripheral revascularization procedures; and amputation for symptomatic PAD) were summarized by hazard ratios (HRs), whereas absolute risks were estimated by incidence rates and mean cumulative functions. Among 13 885 randomized patients, 7600 total cardiovascular and limb events occurred during a median 2.7 years of follow-up, translating to 60.0 and 62.5 events per 100 patients through 3 years for the ticagrelor and clopidogrel groups, respectively (HR, 0.96; 95% CI, 0.89-1.03; P=0.27). Among 1393 patients with disease in 3 vascular territories, event accrual rates through 3 years for the ticagrelor and clopidogrel groups were 87.3 and 97.7 events per 100 patients, respectively. Absolute risk reductions for ticagrelor relative to clopidogrel at 3 years were -0.2, 6.7, and 10.3 events per 100 patients for 1, 2, and 3 affected vascular territories, respectively (Pinteraction=0.09). Conclusions Patients with symptomatic PAD have nearly double the number of total events than first events, with rates reflecting the number of affected vascular territories. These findings highlight the clinical relevance of quantifying disease burden in terms of total events and the need for long-term preventive treatments in high-risk patient populations. Registration URL: https://clinicaltrials.gov/; Unique identifier: NCT01732822

The Effect of Guselkumab on Work Productivity in Biologic-Naïve Patients with Active Psoriatic Arthritis Through Week 52 of the Phase 3, Randomized, Placebo-Controlled DISCOVER-2 Trial

Introduction: The phase 3 DISCOVER-2 trial evaluated the effect of guselkumab on impaired work productivity and nonwork activity in biologic-naïve patients with psoriatic arthritis (PsA). Methods: Adults with active PsA were randomized (1:1:1) to guselkumab 100 mg every 4 weeks (Q4W), guselkumab 100 mg at weeks 0 and 4 and then every 8 weeks (Q8W), or placebo (with crossover to guselkumab Q4W at week 24). Least squares mean change from baseline in Work Productivity and Activity Impairment Questionnaire for PsA (WPAI-PsA) domains and employment were assessed by treatment group. Multivariate analysis of data from weeks 0 through 24 assessed independent associations between PsA clinical features and WPAI-PsA domains. Results: In total, 738 patients were evaluated (guselkumab Q4W n = 245; guselkumab Q8W n = 248; placebo n = 245). At week 24, improvements (reduced impairment) in presenteeism (Q4W −20.1%, Q8W −19.6%, placebo −10.5%), work productivity (Q4W −20.1%, Q8W −19.2%, placebo −10.6%), and nonwork activity (Q4W −20.5%, Q8W −21.2%, placebo −9.9%) were greater in guselkumab-treated versus placebo-treated patients. At week 52, following placebo crossover at week 24, improvements were similar among groups. Baseline absenteeism was minimal and did not change in any group. By week 52, 23.1–25.9% of guselkumab-treated patients who were unemployed at baseline were employed. All WPAI-PsA domains were positively associated with C-reactive protein level, fatigue, and pain. All domains except absenteeism were positively associated with enthesitis and Psoriasis Area and Severity Index score. Age was negatively associated with presenteeism and work productivity loss, female sex and tender joint count were positively associated with nonwork activity impairment, and dactylitis was positively associated with presenteeism. Conclusion: Both guselkumab regimens reduced work productivity loss and nonwork activity impairment in patients with active PsA. Association of work productivity loss and nonwork activity impairment with PsA joint and skin features suggests that improvement in both features is beneficial for optimizing improved work productivity loss and nonwork activity impairment. Trial registration: ClinicalTrials.gov identifier, NCT03158285

Plasmas and Controlled Nuclear Fusion

Contains research objectives and summary of research on six research projects.U.S. Atomic Energy Commission (Contract AT(11-1)-3070

Seizure protein 6 controls glycosylation and trafficking of kainate receptor subunits GluK2 and GluK3

Seizure protein 6 (SEZ6) is required for the development and maintenance of the nervous system, is a major substrate of the protease BACE1 and is linked to Alzheimer's disease (AD) and psychiatric disorders, but its molecular functions are not well understood. Here, we demonstrate that SEZ6 controls glycosylation and cell surface localization of kainate receptors composed of GluK2/3 subunits. Loss of SEZ6 reduced surface levels of GluK2/3 in primary neurons and reduced kainate-evoked currents in CA1 pyramidal neurons in acute hippocampal slices. Mechanistically, loss of SEZ6 in vitro and in vivo prevented modification of GluK2/3 with the human natural killer-1 (HNK-1) glycan, a modulator of GluK2/3 function. SEZ6 interacted with GluK2 through its ectodomain and promoted post-endoplasmic reticulum transport of GluK2 in the secretory pathway in heterologous cells and primary neurons. Taken together, SEZ6 acts as a new trafficking factor for GluK2/3. This novel function may help to better understand the role of SEZ6 in neurologic and psychiatric diseases

On hyperbolic fixed points in ultrametric dynamics

Let K be a complete ultrametric field. We give lower and upper bounds for the size of linearization discs for power series over K near hyperbolic fixed points. These estimates are maximal in the sense that there exist examples where these estimates give the exact size of the corresponding linearization disc. In particular, at repelling fixed points, the linearization disc is equal to the maximal disc on which the power series is injective.Comment: http://www.springerlink.com/content/?k=doi%3a%2810.1134%2fS2070046610030052%2