Differentiability of bizonal positive definite kernels on complex spheres

We prove that any continuous function with domain {z ∈ C: |z| ≤ 1} that generates a bizonal positive definite kernel on the unit sphere in 'C POT.Q' , q ⩾ 3, is continuously differentiable in {z ∈ C: |z| < 1} up to order q − 2, with respect to both z and 'Z BARRA'. In particular, the partial derivatives of the function with respect to x = Re z and y = Im z exist and are continuous in {z ∈ C: |z| < 1} up to the same order.

Matrix-vector multiplication and triangular linear solver using GPGPU for symmetric positive definite matrices derived from elliptic equations

The modern GPUs are well suited for intensive computational tasks and massive parallel computation. Sparse matrix multiplication and linear triangular solver are the most important and heavily used kernels in scientific computation, and several challenges in developing a high performance kernel with the two modules is investigated. The main interest it to solve linear systems derived from the elliptic equations with triangular elements. The resulting linear system has a symmetric positive definite matrix. The sparse matrix is stored in the compressed sparse row (CSR) format. It is proposed a CUDA algorithm to execute the matrix vector multiplication using directly the CSR format. A dependence tree algorithm is used to determine which variables the linear triangular solver can determine in parallel. To increase the number of the parallel threads, a coloring graph algorithm is implemented to reorder the mesh numbering in a pre-processing phase. The proposed method is compared with parallel and serial available libraries. The results show that the proposed method improves the computation cost of the matrix vector multiplication. The pre-processing associated with the triangular solver needs to be executed just once in the proposed method. The conjugate gradient method was implemented and showed similar convergence rate for all the compared methods. The proposed method showed significant smaller execution time.

Reproducing kernel Hilbert spaces associated with kernels on topological spaces

We analyze reproducing kernel Hilbert spaces of positive definite kernels on a topological space X being either first countable or locally compact. The results include versions of Mercer's theorem and theorems on the embedding of these spaces into spaces of continuous and square integrable functions.

Weighted Fourier–Laplace transforms in reproducing kernel Hilbert spaces on the sphere

We study the action of a weighted Fourier–Laplace transform on the functions in the reproducing kernel Hilbert space (RKHS) associated with a positive definite kernel on the sphere. After defining a notion of smoothness implied by the transform, we show that smoothness of the kernel implies the same smoothness for the generating elements (spherical harmonics) in the Mercer expansion of the kernel. We prove a reproducing property for the weighted Fourier–Laplace transform of the functions in the RKHS and embed the RKHS into spaces of smooth functions. Some relevant properties of the embedding are considered, including compactness and boundedness. The approach taken in the paper includes two important notions of differentiability characterized by weighted Fourier–Laplace transforms: fractional derivatives and Laplace–Beltrami derivatives.

Noninvasive positive-pressure ventilation in clinical practice at a large university-affiliated Brazilian hospital

OBJECTIVES: To describe noninvasive positive-pressure ventilation use in intensive care unit clinical practice, factors associated with NPPV failure and the associated prognosis. METHODS: A prospective cohort study. RESULTS: Medical disorders (59%) and elective surgery (21%) were the main causes for admission to the intensive care unit. The main indications for the initiation of noninvasive positive-pressure ventilation were the following: post-extubation, acute respiratory failure and use as an adjunctive technique to chest physiotherapy. The noninvasive positive-pressure ventilation failure group was older and had a higher Simplified Acute Physiology Score II score. The noninvasive positive-pressure ventilation failure rate was 35%. The main reasons for intubation were acute respiratory failure (55%) and a decreased level of consciousness (20%). The noninvasive positive-pressure ventilation failure group presented a shorter period of noninvasive positive-pressure ventilation use than the successful group [three (2-5) versus four (3-7) days]; they had lower levels of pH, HCO3 and base excess, and the FiO(2) level was higher. These patients also presented lower PaO2:FiO2 ratios; on the last day of support, the inspiratory positive airway pressure and expiratory positive airway pressure were higher. The failure group also had a longer average duration of stay in the intensive care unit [17 (10-26) days vs. 8 (5-14) days], as well as a higher mortality rate (9 vs. 51%). There was an association between failure and mortality, which had an odds ratio (95% CI) of 10.6 (5.93 - 19.07). The multiple logistic regression analysis using noninvasive positive pressure ventilation failure as a dependent variable found that treatment tended to fail in patients with a Simplified Acute Physiology Score II >= 34, an inspiratory positive airway pressure level >= 15 cmH2O and pH<7.40. CONCLUSION: The indications for noninvasive positive-pressure ventilation were quite varied. The failure group had a longer intensive care unit stay and higher mortality. Simplified Acute Physiology Score II >= 34, pH<7.40 and higher inspiratory positive airway pressure levels were associated with failure.

A relaxed constant positive linear dependence constraint qualification and applications

In this work we introduce a relaxed version of the constant positive linear dependence constraint qualification (CPLD) that we call RCPLD. This development is inspired by a recent generalization of the constant rank constraint qualification by Minchenko and Stakhovski that was called RCRCQ. We show that RCPLD is enough to ensure the convergence of an augmented Lagrangian algorithm and that it asserts the validity of an error bound. We also provide proofs and counter-examples that show the relations of RCRCQ and RCPLD with other known constraint qualifications. In particular, RCPLD is strictly weaker than CPLD and RCRCQ, while still stronger than Abadie's constraint qualification. We also verify that the second order necessary optimality condition holds under RCRCQ.

HIV-1 induces NALP3-inflammasome expression and interleukin-1 beta secretion in dendritic cells from healthy individuals but not from HIV-positive patients

Objective: NALP3-inflammasome is an innate mechanism, alternative to type-1 interferon, which is able to recognize nucleic acids and viruses in the cytoplasm and to induce pro-inflammatory response. Here, we hypothesized the involvement of inflammasome in the early defense against HIV-1 and in the full maturation of dendritic cells: for this, we evaluated the response of dendritic cells pulsed with HIV-1 in terms of inflammasome activation in healthy donors. Moreover, inflammasome response to HIV was evaluated in HIV-infected individuals. Design and methods: Monocyte-derived dendritic cells isolated from 20 healthy individuals (HC-DC) and 20 HIV-1-infected patients (HIV-DC) were pulsed with alditrithiol-2-inactivated HIV-1. We then analyzed inflammasome genes expression and interleukin-1 beta (IL-1 beta) secretion. Results: In HC-DC, HIV-1 induced higher NLRP3/NALP3 mRNA expression compared with other inflammasome genes such as NALP1/NLRP1 or IPAF/NLRC4 (P < 0.001). This augmented expression was accompanied by CASP1-increased and IL1B-increased mRNA levels and by a significant increment of IL-1b secretion (P < 0.05). Otherwise, HIV-1 failed to activate inflammasome and cytokine production in HIV-DC. HIV-DC showed an increased NLRP3/NALP3 basal expression, suggesting a chronic inflammatory profile of patients' immune cells. Conclusion: HIV-1 was able to induce a NALP3-inflammasome response in healthy individuals, indicating that this inflammasome could play a role in the first steps of HIV-1 infection; the consequent inflammatory process may be important for directing host immune response against the virus and/or disease progression. HIV-DC seemed to be chronically activated, but unresponsive against pathogens. Our findings could be of interest considering the ongoing research about dendritic cell manipulation and therapeutic strategies for AIDS involving dendritic cell-based immune-vaccines. (C) 2011 Wolters Kluwer Health vertical bar Lippincott Williams & Wilkins

Positive effects of zinc supplementation on growth, GH, IGF1, and IGFBP3 in eutrophic children

Zinc is an essential micronutrient for growth and development. Its deficiency causes growth retardation in children and adolescents. The present study analyzes the effect of zinc on growth hormone (GH) secretion, insulin-like growth factor 1 (IGF1), and insulin-like growth factor-binding protein 3 (IGFBP3) in normal children before puberty. Thirty normal children were studied, 15 boys and 15 girls, aged 6-9 years. They were orally supplemented with 5 mg Zn/day for 3 months and 0.06537 mg Zn/kg body weight was injected before and after oral supplementation. Dietary intake and anthropometric measurements were assessed at baseline and end of study. Plasma GH levels increased during intravenous zinc administration and IGF1 and IGFBP3 increased after oral zinc supplementation. There was a positive correlation between the areas under the curves of GH and zinc after oral supplementation. Zinc supplementation was possibly effective in improving the body zinc status of the children, secretory levels of IGF1 and IGFBP3, GH potentialization, and height.

Coordinated expression of oestrogen and androgen receptors in HER2-positive breast carcinomas: impact on proliferative activity

Aims Human epidermal growth factor receptor 2 (HER2)-positive breast cancers are aggressive neoplasms associated with a variable response to systemic therapies. Therefore, the identification of biomarkers to better characterise this heterogeneity would improve treatment efficacy. The aim of this study was to evaluate the influence of androgen receptor (AR) and oestrogen receptor (ER) on clinicopathological features in a series of HER2-positive breast carcinomas. Methods A total of 104 carcinomas were selected and reviewed. Immunohistochemical studies for ER, progesterone receptor and Ki-67 were analysed on tumour whole histological sections. AR expression was analysed on samples represented on tissue microarrays. According to steroid receptor expression, cases were classified into three groups: AR positive/ER positive (48 cases), AR positive/ER negative (41 cases) and AR negative/ER negative (13 cases). Results AR-positive tumours corresponded to 89 (85.6%) of 104 carcinomas. AR-positive carcinomas were associated with a higher frequency of ER and progesterone receptor co-expression and lower proliferative activity determined by the expression of Ki-67. AR-negative carcinomas were more often high grade. The group of AR-positive/ER-negative carcinomas was associated with the highest frequency of apocrine morphological features. The group of AR-negative/ER-negative carcinomas was associated with the highest proliferative activity and the highest frequency of high histological and nuclear grade. The lowest frequency of high-grade tumours and the lowest proliferative activity were seen among tumours with expression of both receptors. Conclusions These results suggest that co-expression of AR and ER can provide a protective effect based on phenotypical presentation of HER2-positive carcinomas. Furthermore, lack of both steroid hormone receptors characterises the most aggressive phenotype.

Frequency of subtype B and F1 dual infection in HIV-1 positive, Brazilian men who have sex with men

Background: Because various HIV vaccination studies are in progress, it is important to understand how often inter- and intra-subtype co/superinfection occurs in different HIV-infected high-risk groups. This knowledge would aid in the development of future prevention programs. In this cross-sectional study, we report the frequency of subtype B and F1 co-infection in a clinical group of 41 recently HIV-1 infected men who have sex with men (MSM) in Sao Paulo, Brazil. Methodology: Proviral HIV-1 DNA was isolated from subject's peripheral blood polymorphonuclear leukocytes that were obtained at the time of enrollment. Each subject was known to be infected with a subtype B virus as determined in a previous study. A small fragment of the integrase gene (nucleotide 4255-4478 of HXB2) was amplified by nested polymerase chain reaction (PCR) using subclade F1 specific primers. The PCR results were further confirmed by phylogenetic analysis. Viral load (VL) data were extrapolated from the medical records of each patient. Results: For the 41 samples from MSM who were recently infected with subtype B virus, it was possible to detect subclade F1 proviral DNA in five patients, which represents a co-infection rate of 12.2%. In subjects with dual infection, the median VL was 5.3 x 10(4) copies/ML, whereas in MSM that were infected with only subtype B virus the median VL was 3.8 x 10(4) copies/ML (p > 0.8). Conclusions: This study indicated that subtype B and F1 co-infection occurs frequently within the HIV-positive MSM population as suggested by large number of BF1 recombinant viruses reported in Brazil. This finding will help us track the epidemic and provide support for the development of immunization strategies against the HIV.

The use of nasal dilator strips as a placebo for trials evaluating continuous positive airway pressure

OBJECTIVES: The aim of the current study was to compare the objective and subjective effects of continuous positive airway pressure to the use of nasal dilator strips in patients with acromegaly and moderate to severe obstructive sleep apnea. METHODS: We studied 12 patients with acromegaly and moderate to severe obstructive sleep apnea (male/females = 8/4, age = 52 +/- 8 ys, body mass index = 33.5 +/- 4.6 Kg/m(2), apnea-hypopnea index = 38 +/- 14 events/h) who had been included in a randomized, crossover study to receive three months of treatment with continuous positive airway pressure and nasal dilator strips. All patients were evaluated at study entry and at the end of each treatment by polysomnography, and Epworth Sleepiness Scale, Pittsburgh Sleep Quality Index and treatment satisfaction questionnaires. ClinicalTrials.gov: NCT01265121 RESULTS: The apnea-hypopnea index values decreased significantly with continuous positive airway pressure treatment but did not change with the use of nasal dilator strips. All of the subjective symptoms improved with both treatments, but these improvements were significantly greater with continuous positive airway pressure than with the nasal dilator strips. CONCLUSION: The use of nasal dilator strips had a much smaller effect on the severity of obstructive sleep apnea in patients with acromegaly and moderate to severe obstructive sleep apnea in comparison to the use of continuous positive airway pressure. Moreover, the improvement in several subjective parameters without any significant objective improvement in obstructive sleep apnea resulting from the use of nasal dilator strips is compatible with a placebo effect.

Positive Affection Measurement: Subjective Well-Being in Married People

The study analyzed the correlations among the different factors of subjective well-being (SWB) using a sample of 106 married people with an average of 16.11 years of marriage. The following instruments were used: Sociodemographic Questionnaire, Socioeconomic Questionnaire, and Subjective Well-being Scale (SWBS). Data analyses were conducted using the Software R and a multivariate model to understand the correlations among the factors of the SWBS. All factors of the SWBS were significantly inter-correlated, which confirm the results of the scale validation study. Future studies are necessary to evaluate the SWB in couples (dyads), which can help to understand whether this concept is influenced by the spouse or only by the marital status.

Practices of use of nasal intermittent positive pressure ventilation (NIPPV) in neonatology in northeastern Brazil

Objective: To investigate the use of nasal intermittent positive pressure ventilation (NIPPV) in level three neonatal intensive care units (NICU) in northeastern Brazil. Methods: This observational cross-sectional survey was conducted from March 2009 to January 2010 in all level three NICUs in northeastern Brazil that are registered in the Brazilian Registry of Health Establishments (Cadastro Nacional de Estabelecimentos de Saude, CNES) of the Ministry of Health. Questionnaires about the use of NIPPV were sent to the NICU directors in each institution. Statistical analysis was conducted using the software Epi-Info 6.04 and double data entry. A chi-square test was used to compare variables, and the level of statistical significance was set at p <= 0.05. Results: This study identified 93 level three NICUs in northeastern Brazil registered in CNES, and 87% answered the study questionnaire. Most classified themselves as private institutions (30.7%); 98.7% used NIPPV; 92.8 % adapted mechanical ventilators for NIPPV and used short binasal prongs as the interface (94.2%). Only 17.3% of the units had a protocol for the use of NIPPV. Mean positive inspiratory pressure and positive end-expiratory pressure were 20.0 cmH(2)O (standard deviation [SD]: 4.47) and 5.0 cmH(2)O (SD: 0.84). Conclusion: NICUs in northeastern Brazil use nasal intermittent positive pressure ventilation, but indications and ventilation settings are not the same in the different institutions.

HOPE IN HIV-POSITIVE WOMEN

The objective of this study was to assess the hope in the lives of HIV-positive women, using the Herth Hope Scale (HHS). Participants were 111 HIV-positive women who attended a referral outpatient clinic in Fortaleza-CE. From January to May 2009, interviews were held to collect biopsychosocial variables, and the HHS was applied. Data were analyzed using SPSS-8.0 and revealed an average hope index of 34.86, indicating that these women have little hope in life in view of their diagnosis of HIV. The scale item with the highest score was faith. This probably derives from the fact that Aids is incurable, transmissible and generates negative stigma, in addition to its relation with the idea of imminent death. In conclusion, measuring hope among HIV patients through the use of an instrument permits intervention assessment and planning, promoting assistance and motivation to live better and maintain a hopeful attitude.