The Automorphism Group of the Free Algebra of Rank Two

The theorem of Czerniakiewicz and Makar-Limanov, that all the automorphisms of a free algebra of rank two are tame is proved here by showing that the group of these automorphisms is the free product of two groups (amalgamating their intersection), the group of all affine automorphisms and the group of all triangular automorphisms. The method consists in finding a bipolar structure. As a consequence every finite subgroup of automorphisms (in characteristic zero) is shown to be conjugate to a group of linear automorphisms.

Factorizations of some Groups of Lie Type of Lie Rank 4

Еленка Генчева, Цанко Генчев В настоящата работа се разглеждат крайни прости групи G , които могат да се представят като произведение на две свои собствени неабелеви прости подгрупи A и B. Всяко такова представяне G = AB е прието да се нарича факторизация на G, а тъй като множителите A и B са избрани да бъдат прости подгрупи на G, то разглежданите факторизации са известни още като прости факторизации на G. Тук се предполага, че G е проста група от лиев тип и лиев ранг 4 над крайно поле GF (q). Ключови думи: крайни прости групи, групи от лиев тип, факторизации на групи.

Rank and k-nullity of contact manifolds

We prove that the dimension of the 1-nullity distribution N(1) on a closed Sasakian manifold M of rankl is at least equal to 2l−1 provided that M has an isolated closed characteristic. The result is then used to provide some examples of k-contact manifolds which are not Sasakian. On a closed, 2n+1-dimensional Sasakian manifold of positive bisectional curvature, we show that either the dimension of N(1) is less than or equal to n+1 or N(1) is the entire tangent bundle TM. In the latter case, the Sasakian manifold Mis isometric to a quotient of the Euclidean sphere under a finite group of isometries. We also point out some interactions between k-nullity, Weinstein conjecture, and minimal unit vector fields.

Estudo da associação dos genes RANk, RANKL e OPG com a osteopatia diabética

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES

Consumo privado de ansiolíticos benzodiazepínicos e sua correlação com indicadores sociodemográficos nas capitais brasileiras

This work aims to analyze the distribution of anxiolytics and their frequency of consumption in the period of 2010 to 2012, on the Federal District and at other Brazilian cities, as well as evaluating the correlation between such consumption and its demographic, epidemiological, economic and social characteristics for each region of this study. Into the analysis, it was observed that social, economic and cultural factors seem to influence the over-consumption of these drugs in many countries. Based on this, the benzodiazepines (BDZs) have achieved great popularity among members of the medical community and among the general population, mainly because of its safety and effectiveness in controlling symptoms of anxiety, insomnia and convulsions. Concerning the methodology of this work, an ecological study was performed having as sampling Brazilian capitals and as data source the 2010 Population Census, as well as information from IBGE, DATASUS and ANVISA. Still in the case of the methodological procedure, a multiple linear regression was used. Through descriptive analysis, it was demonstrated that the Northern region has the lowest average on consumption of these drugs (being 0.24 DHD in Manaus); meanwhile in the capitals of the Southeast, higher means were identified (reaching 7.29 DHD in Belo Horizonte), with a national average of 3.04 DHD. Among the drugs analyzed, it was found that Alprazolam is the most dispensed by pharmacies and private drugstores, averaging 2.00 DHD for Brazilian capitals. A análise de regressão linear múltipla mostrou que 76% da variação no consumo foi explicada pela variação da densidade populacional (β = 0,310 p = 0,045) e pela percentagem de médicos (β = 0,507 p = 0,016). Therefore, it was concluded that the consumption of anxiolytics of short half-life has been increasing over the years, mainly in the cities of greater population density and with the highest concentration of doctors

Análise imuno-histoquímica das proteínas RANK, RANKL e OPG em dentes de ratos reimplantados

The RANK / RANKL / OPG sy stem plays an important role in bone formation and resorption . This finding has been regarded as one of the m ost important advances in the understanding of bone biology with respect to osteoclastogenesis. The aim of this study was to investigate the expression of RANKL / RANK / OPG markers in reimplanted t eeth of rats, and to observe the relationship between the expression of these markers and to oth and bone resorption. Thirty male Wistar rats (Rattus norvegicus albinos) had their maxillary right incisors extrac ted , and were divided into 2 groups according to the period that the extracted teeth were kept in dry air before reimplantation : G1 (n = 15) - 5 minutes , and G2 (n = 15) - 60 minutes . After reimplantation, teeth were analyzed at intervals of 1, 3 and 7 da ys. After these experimental periods, the animals were euthanized. Longitudinal sections with 5μm thick were obtained and stained with Hematoxylin and Eosin for histological analysis , while 3μm thick sections were subjected to immunohistochemical analysis of OPG , RANK and RANKL. The results showed that the RANK / RANKL / OPG system actively participates in both the repair process, as well as tooth and bone resorption . Extr a - alveolar time of 60 minutes before replantation caused minor expressions of RANKL a nd OPG, not influencing the expression of RANK; RANKL immunostaining showed higher in both groups when compared to other biomarkers, participating in all phases of bone and tooth resorption; RANKL was associated to both osteoclastogenesis and c ell ular proliferation , and was expressed in both groups.

Estudo da estrutura subsuperficial da província Borborema com correlação de ruído sísmico

Ambient seismic noise has traditionally been considered as an unwanted perturbation in seismic data acquisition that "contaminates" the clean recording of earthquakes. Over the last decade, however, it has been demonstrated that consistent information about the subsurface structure can be extracted from cross-correlation of ambient seismic noise. In this context, the rules are reversed: the ambient seismic noise becomes the desired seismic signal, while earthquakes become the unwanted perturbation that needs to be removed. At periods lower than 30 s, the spectrum of ambient seismic noise is dominated by microseism, which originates from distant atmospheric perturbations over the oceans. The microsseism is the most continuous seismic signal and can be classified as primary – when observed in the range 10-20 s – and secondary – when observed in the range 5-10 s. The Green‘s function of the propagating medium between two receivers (seismic stations) can be reconstructed by cross-correlating seismic noise simultaneously recorded at the receivers. The reconstruction of the Green‘s function is generally proportional to the surface-wave portion of the seismic wavefield, as microsseismic energy travels mostly as surface-waves. In this work, 194 Green‘s functions obtained from stacking of one month of daily cross-correlations of ambient seismic noise recorded in the vertical component of several pairs of broadband seismic stations in Northeast Brazil are presented. The daily cross-correlations were stacked using a timefrequency, phase-weighted scheme that enhances weak coherent signals by reducing incoherent noise. The cross-correlations show that, as expected, the emerged signal is dominated by Rayleigh waves, with dispersion velocities being reliably measured for periods ranging between 5 and 20 s. Both permanent stations from a monitoring seismic network and temporary stations from past passive experiments in the region are considered, resulting in a combined network of 33 stations separated by distances between 60 and 1311 km, approximately. The Rayleigh-wave, dispersion velocity measurements are then used to develop tomographic images of group velocity variation for the Borborema Province of Northeast Brazil. The tomographic maps allow to satisfactorily map buried structural features in the region. At short periods (~5 s) the images reflect shallow crustal structure, clearly delineating intra-continental and marginal sedimentary basins, as well as portions of important shear zones traversing the Borborema Province. At longer periods (10 – 20 s) the images are sensitive to deeper structure in the upper crust, and most of the shallower anomalies fade away. Interestingly, some of them do persist. The deep anomalies do not correlate with either the location of Cenozoic volcanism and uplift - which marked the evolution of the Borborema Province in the Cenozoic - or available maps of surface heat-flow, and the origin of the deep anomalies remains enigmatic.

Geoquímica de elementos maiores e traços de granitoides neoproterozoicos da província Borborema e sua correlação com propriedades físicas de rochas

This paper discusses the correlation of thermal conductivity, density and magnetic susceptibility with composition of major and trace elements of Neoproterozoic igneous bodies from Borborema Province, Northeastern Brazil. These properties were used as potential markers among the studied magmatic suites. For the correlation between petrophysical and geochemical properties it was considered a set of 195 chemical analyzes of granitoid rocks, separated by the degree of acidity in basic, intermediate and acidic. Major (SiO2, Al2O3, Fe2O3, MgO, CaO, Na2O, K2O and TiO2) and some trace elements (Rb, Sr, Ba, Zr, Th and U) that are usually linked to the formation of the most common minerals of igneous rocks were used. The results show that SiO2 has the best positive correlation with the thermal conductivity, while Al2O3, CaO, Fe2O3, MgO and TiO2 exhibit negative correlation for the same property. The correlation with density is opposite to that one for these oxides with the thermal conductivity. The magnetic susceptibility did not correlate with the elements studied. The results for thermal conductivity and density indicate a tendency of SiO2 and oxides with higher affinity with mafic minerals (Al2O3, CaO, Fe2O3, TiO2 and MgO) in controlling these petrophysical parameters. The set of samples was divided into five different magmatic suites based on their lithogeochemical aspects into: i) peralkaline / alkaline; ii) alkaline; iii) calc-alkaline; iv) high potassium calcium alkaline; and v) shoshonitic. Data analysis showed that the thermal conductivity and density presented good results in the individualization of these suites, notably between peralkaline / alkaline, alkaline suites, calc-alkaline and shoshonitic. However, the high-K calc-alkaline suite overlapped with the other. In contrast, the magnetic susceptibility did not show effective results for separating the five chemical suites.

Estudo da correlação das características clínico-patológicas do câncer colorretal com a expressão imunohistoquímica de proteínas da progressão tumoral

Except the non-melanoma skin tumors, colorectal cancer is the second most common in the Southeastern Region of Brazil, the third most common in the Southern and Central Regions. It is also the forth most common in the Northern Region and it is the fifth one in the Northeastern. To assess pathological and clinical variables of colorectal Cancer is crucial to know the possible conclusions for the survival of patients and point out the characteristics in the progress of tumor, such as the profile of tumor invasion and its angiogenesis. This work focuses on analyzing clinically and pathologically some settings in colorectal cancer patients (CRC) in the city of Natal and its countryside through those variables as parameters of prognosis and determine the level of protein expression, for instance: E-cadherin (E-cad), beta- -catenin (β-cat), galectin-3 (gal-3), matrix metalloproteinases (MMP) 2 and 9 and vascular-endothelial growth factor alpha (α VEGF) in the tumor tissues. A retrospective study was done in colorectal cancer cases in the regions of Rio Grande do Norte state from 1995 to 2005, specifically in Natal city/RN/Brazil. The pathological and clinical variables, such as: age, gender, ethnicity, lifestyle, family history, the location of the primary tumor, level of differentiation, TDM staging, modified Dukes’, treatment and survival were analyzed. The pathological and clinical data were collected from medical records through a specific form and were filed on Excel. A total of 534 patients were selected from the Pathology Department file in this institution, however, 176 patients were excluded. 358 patients were included for Epidemiological analysis and its clinical and pathological correlations were selected. 180 patients were also selected for histological and immunohistochemical studies. The tumor progression of these selected proteins mentioned before were analyzed. The Paraffin blocks of these samples were treated by Microarray Tissue technique and its blades subjected to immunohistochemistry to test the intensity of these proteins in tumor tissues. The results of this analysis were correlated with clinicopathologic variables of patients. Statistical analysis using the chi-frame Pearson test and analysis of midlife by Kaplan-Meier curve was also utilized. P values < 0.05 were considered statistically significant. The average age of our sample was 58.8 years and 51.7 % were female. Alcohol consumption has increased by 1.71 time the risk of death by CCR (p = 0.034) and tobacco consumption increased 2.7 times the chance of developing tumors of high TNM stage (p = 0.001). Cancer patients had a family history of 3,833 times the chance of developing the CCR (p = 0.002). The expression of MMP-2 showed a significant association with tumors of high TNM stage (p <0.046) and mortality (p = 0.041). The α VEGF expression had statistically significant correlation with high TNM stage (p <0.009), degree of cell indifferentiation (p <0.025) and mortality (p <0.035). Expressions of E-cadherin and beta-catetina demonstrated tumor linked to high TNM stage (p = 0.0001) and Dukes› modified (p = 0.05), lesions in the rectum (p = 0.03 and p = 0.007, respectively), smoking (p = 0.05) and indifferentiation (p = 0.001). The expression of Gal-3 showed statistical significance with high TNM stage of patients (p = 0.01), smokers (p = 0.01), alcohol drinking (p = 0.03), indifferentiation (p = 0.0001) and mortality (p = 0.0001). Based on the results, therefore, we could realize that lifestyle and family history had correlation in the CCR prognosis, as well as MMP-2 expression, MMP-9, VEGF alpha, E-cadherin, Beta-catenin and Galectin-3 were important prognostic markers in tumor progression in colorectal cancer.

Correlação entre imagem corporal e autoestima em pessoas com ostomias intestinais

Ostomized is every individual that, because of a traumatic or clinical condition, it required a surgery resulting in the externalization of a hollow organ through the skin, and such temporary or permanent condition. This study has the general objective to investigate the relationship between body image and self-esteem in these individuals; as well as to verify their levels of satisfaction with their body image regarding the aspect of appearance and to evaluate the degree of self-esteem related to that condition. This is a correlational research, cross-sectional, which was accomplished in an institution in support of these users of Rio Grande do Norte state, with location in Natal. There were used three sampling instruments: a structured general questionnaire covering socio-demographic and clinical data; the Satisfaction Scale with Appearance (SSA) and the Rosenberg Self-Esteem Scale (RSS). The information obtained was analyzed with the aid of an electronic spreadsheet software. The project is according with the resolution 466/12 of the National Health Council, It was approved by the Research Ethics Committee of UFRN, under number CAAE 19159713.5.0000.5537 in August 2013. The sample consisted of 93 participants with an average age of 50.4 years (SD = 15.4). In general they had low satisfaction with their body image (M = 66.9), as regards the appearance, although maintained high levels of self-esteem (M = 34.8). Therefore, It was found a positive correlation, moderate (ρ = 0.426) and statistically significant was found (p <0.001) from the application of the Spearman correlation test. Therefore, dissatisfaction with body image is an important issue to be observed by professionals who attend ostomizeds. however, it seems, other aspects are also influencing the level of self-esteem of these individuals, who were not able to be determined in this study.

Ocorrência de leite instável na região semiárida do Rio Grande do Norte e sua correlação com a qualidade do leite

The unstable non acid milk (UNAM) is characterized by coagulation in the alcohol test and wanted acidity (14-18°D). Among Brazilian regions, the South and Southeast have the highest occurrence of LINA, which has been causing problems for both producers and for industries, due to the disposal or undervaluation of milk. In the Northeast there are few studies that indicate their occurrence and quality. The objective of this study was to identify the occurrence of unstable non-acid milk in the west and central mesoregions of Rio Grande do Norte, determine their physicochemical characteristics, test alcoholic graduations and evaluate their correlation with the quality of milk. 176 raw milk samples were analyzed in the period from September to December /2014 from 23 APASA’s cooling tanks, located in 7 cities of west and central mesoregions RN. The samples were collected in duplicate, one sample used for alcohol testing at 68, 72 and 76%, measurement of pH, acidity, electrical conductivity and boiling proof, made in LABOLEITE / UFRN; and the other sample containing Bronopol® preservative, was sent to the APCBRH (Cattle Breeders Association Paranaense Holstein) laboratory in Curitiba-PR, which were analyzed fat, protein, total solids, lactose, casein, urea nitrogen and somatic cell count. The test alcohol samples disapproved 31.82%, of which 30% proved to be non-acid, and 30% had high acidity. The samples were divided into three classes: Stable Milk, UNAM and acid milk. 3% Tukey test was used for comparison of stable milk components and UNAM and there was no significant difference between them. Both classes obtained averages within the standard required by IN 62. The average value of electric conductivity was 4.84 mS/cm for stable milk, 4.55 mS/cm for unstable and acid milk and 4.53 mS/cm for non-acid unstable milk. The electrical conductivity was positively correlated with alcohol stability of milk and negative correlation with acidity and pH. Could not observe direct relationship between the electrical conductivity and the somatic cell count.The boiling test was negative for all samples UNAM. It can be concluded that the incidence of UNAM in the studied region is low, although the predisposing factors such as heat stress, drought and nutritional deficiency. In conclusion, the UNAM has quality similar to stable milk, conform the norms required by Agriculture Ministry, and with adequate thermal stability, which proves that there is no reason to reject this milk by industry.

A correlação locução adjetiva/adjetivo: uma análise funcional

This research deals with the relationship locução adjetiva / adjective, focusing the reasons for using one form or the other one, in situations where the speaker has a choice between an adjective or a locução adjetiva virtually correspondent and vice versa. In general, the objective is to investigate the possibility of correlation between locução adjetiva and adjective, and to identify motivations for the use of one form or the other one. The theoretical support of this paper is the Linguística Funcional Centrada no Uso (LFCU), which groups together theoretical and methodological assumptions of North American Functional Linguistics, represented by authors as Givón (1984), Bybee (2010), Traugott (2011), and Cognitive Linguistics, as developed by Lakoff (1987), Langacker (1987) and Lakoff and Johnson (2002). As regards the methodological procedures, this research is of qualitative and quantitative character: at first, we did the survey data in the texts that made up the corpus, followed by analysis of each them, especially the locução adjetiva, by considering the semantic, morphosyntactic, cognitive and pragmatic aspects. The corpus is composed of 36 texts, taken from 12 issues of the Veja magazine, published between January 2013 and March 2013. As for the results, in the case of locução adjetiva with related adjectives, this research has shown that the choice of former is due to semantic change, the use of lexicalized forms, to priming cases or to stylistic motivations. It means that the choices of one of these two forms go beyond lexical issues, since there are other motivations, such as syntactic, semantic and pragmatic ones.

Correlação entre força muscular do assoalho pélvico, função sexual e qualidade de vida em mulheres de meia idade

Introduction: Menopause is characterized by the depletion of ovarian follicles and the gradual decline in estradiol levels, which ends with the definitive cessation of menstrual periods (menopause). As a result of hypoestrogenism, characteristic symptoms, such as hot flashes, night sweats, vaginal dryness, dyspareunia, insomnia, mood swings and depression can be observed. There is also the weakening of the pelvic floor muscles (MAP) as a result of progressive muscle-aponeurotic and connective atrophy with consequent decreased sexual function. Objective: To evaluate the strength of MAP, sexual function and quality of life of menopausal women. Methodology: This is an observational, analytical, cross-sectional design. The sample consisted of 55 women (35 postmenopausal and 20 perimenopausal), aged between 40 and 65, who were assessed by muscle strength and perineometry test. For the assessment of sexual function and quality of life, used the Female Sexual Function Index (FSFI) and Utian Quality of Life (UQOL), respectively. Statistical analysis was performed using Pearson's correlation and multivariate analysis. Results: The mean age was 52.78 (± 6.47 years). Sexual dysfunction presented, 61.8% of participants (43.62% of postmenopausal and perimenopausal 18.17%). Muscle strength test and the maximum perineometry had a median of 3.00 (Q25: 2 e Q75: 4) and 33,50 cmH20 (Q25: 33,5 e Q75: 46,6), respectively. No correlation was found between sexual function and muscle strength (r = 0.035; p = 0.802) and between sexual function and perineometry (r = 0.126; p = 0.358). The mean total score of UQOL was 74.45 (± 12.23). Weak positive correlation was found between sexual function and quality of life (r = +0.422 p = 0.001). Multivariate analysis identified associations between sexual function and variables: quality of life, climacteric symptoms, physical activity and education level. Conclusions: These results suggest that the climacteric symptoms, quality of life, physical activity and level of education are associated with sexual function in menopausal women. However, the muscular component of sexual function needs to be further investigated in this context.

Correlação da imunoexpressão do fator de choque térmico 1 (hsf1) com aspectos clinicopatológicos em carcinomas de células escamosas de língua oral

Squamous cell carcinoma of oral tongue shows high rates of morbidity and mortality in the population, therefore, great efforts are being made to classify morphological changes and identify biomarkers that have prognostic value and that are able to group patients in individualized therapeutic options. From this perspective, there is the heat shock factor 1 (HSF1), which is a heat shock factor transcription protein (HSPs) that allows the cancer to deal with stressors associated with malignancy, acting differently in tumor progression. This research aimed to perform a clinico-pathological analysis of 70 cases of oral tongue squamous cell carcinoma (OTSCC) and immunohistochemical study of the expression of HSF1 protein in OTSCC, comparing it with 30 specimens of normal oral mucosa (NOM), and correlating this immunostaining with clinico-pathological aspects of OTSCC. To analyze the association between immunoexpression of HSF1 and clinicophatoloical aspects, the cases were categorized in minor and major overexpression, based in the median immunostaining score. Regarding the cases of OTSCC, 57.1% showed clinical stage III or IV, 82.9% were graded as high grade according to Bryne (1998) and 47.1% as high risk of malignancy according to Brandwein-Gensler et al., (2005). A disease free survival rate of 47.84% and overall survival rate of 68.20% was observed in the analyzed cases, and the high degree of malignancy according to Bryne’s system (1998) (p=0.05), tumor size T3 or T4 (p=0.04), local recurrence (p=0.02), and perineural invasion (p=0.02) determined negative impacts in survival time. We observed also a statistically significant result (p<0.01) when comparing the immunoreactivity of HSF1 between NOM and OTSCC. This significantly increased expression of HSF1 in cases of OTSCC suggests that this protein acts, indeed, in the pathogenesis of this disease. However, there were no statistically significant associations between this overexpression and the clinico-pathological parameters analyzed. This finding may reflect the influence of epigenetic events on HSF1 gene or a possible stability of this protein expression throughout disease progression.

Correlação da imunoexpressão do fator de choque térmico 1 (hsf1) com aspectos clinicopatológicos em carcinomas de células escamosas de língua oral

Squamous cell carcinoma of oral tongue shows high rates of morbidity and mortality in the population, therefore, great efforts are being made to classify morphological changes and identify biomarkers that have prognostic value and that are able to group patients in individualized therapeutic options. From this perspective, there is the heat shock factor 1 (HSF1), which is a heat shock factor transcription protein (HSPs) that allows the cancer to deal with stressors associated with malignancy, acting differently in tumor progression. This research aimed to perform a clinico-pathological analysis of 70 cases of oral tongue squamous cell carcinoma (OTSCC) and immunohistochemical study of the expression of HSF1 protein in OTSCC, comparing it with 30 specimens of normal oral mucosa (NOM), and correlating this immunostaining with clinico-pathological aspects of OTSCC. To analyze the association between immunoexpression of HSF1 and clinicophatoloical aspects, the cases were categorized in minor and major overexpression, based in the median immunostaining score. Regarding the cases of OTSCC, 57.1% showed clinical stage III or IV, 82.9% were graded as high grade according to Bryne (1998) and 47.1% as high risk of malignancy according to Brandwein-Gensler et al., (2005). A disease free survival rate of 47.84% and overall survival rate of 68.20% was observed in the analyzed cases, and the high degree of malignancy according to Bryne’s system (1998) (p=0.05), tumor size T3 or T4 (p=0.04), local recurrence (p=0.02), and perineural invasion (p=0.02) determined negative impacts in survival time. We observed also a statistically significant result (p<0.01) when comparing the immunoreactivity of HSF1 between NOM and OTSCC. This significantly increased expression of HSF1 in cases of OTSCC suggests that this protein acts, indeed, in the pathogenesis of this disease. However, there were no statistically significant associations between this overexpression and the clinico-pathological parameters analyzed. This finding may reflect the influence of epigenetic events on HSF1 gene or a possible stability of this protein expression throughout disease progression.