Contact with friction using the augmented Lagrangian Method: a conditional constrained minimization problem

This work presents a formulation of the contact with friction between elastic bodies. This is a non linear problem due to unilateral constraints (inter-penetration of bodies) and friction. The solution of this problem can be found using optimization concepts, modelling the problem as a constrained minimization problem. The Finite Element Method is used to construct approximation spaces. The minimization problem has the total potential energy of the elastic bodies as the objective function, the non-inter-penetration conditions are represented by inequality constraints, and equality constraints are used to deal with the friction. Due to the presence of two friction conditions (stick and slip), specific equality constraints are present or not according to the current condition. Since the Coulomb friction condition depends on the normal and tangential contact stresses related to the constraints of the problem, it is devised a conditional dependent constrained minimization problem. An Augmented Lagrangian Method for constrained minimization is employed to solve this problem. This method, when applied to a contact problem, presents Lagrange Multipliers which have the physical meaning of contact forces. This fact allows to check the friction condition at each iteration. These concepts make possible to devise a computational scheme which lead to good numerical results.

The political economy of corruption in Brazil

This article is the first part of a research on corruption in Brazil and it is theoretical. Despite this, it provides an economic interpretation of corruption using Brazil as a case study. The main objective of this research is to apply some microeconomic tools to understand the "big corruption". However, I am going to show that corruption is not simply a kind of crime. Rather, it is an ordinary economic activity that arises in some institutional environments. Firstly, some corruption cases in Brazil will be described. This article is aimed at showing that democracy itself does not ensure control over corruption. Secondly, I am going to do a very brief survey of institutional changes and controls over corruption in some Western Societies in which I am going to argue that corruption, its control and its illegality depend on institutional evolution by streamlining the constitutional and institutional framework. Thirdly, I am going to explain how some economic models could be adopted for a better understanding of corruption. Finally, I will present a multiple-self model applied to the public agent (politician and bureaucrat) constrained by institutions and pay-off systems.

Confiabilidade teste-reteste de aspectos da rede social no Estudo Pró-Saúde

OBJETIVO: Avaliar os níveis de confiabilidade teste-reteste de informações relativas à rede social no Estudo Pró-saúde. MÉTODOS: Foi estimada a confiabilidade pelo estudo teste-reteste por meio de questionário multidimensional aplicado a uma coorte de trabalhadores de uma universidade. O mesmo questionário foi preenchido duas vezes por 192 funcionários não efetivos da universidade, com duas semanas de intervalo entre as aplicações. A concordância foi estimada pela estatística Kappa (variáveis categóricas), estatística Kappa ponderado e modelos log-lineares (variáveis ordinais), e coeficiente de correlação intraclasse (variáveis discretas). RESULTADOS: As medidas de concordância situaram-se acima de 0,70 para a maioria das variáveis. Estratificando-se as informações segundo gênero, idade e escolaridade, observou-se que a confiabilidade não apresentou padrão consistente de variabilidade. A aplicação de modelos log-lineares indicou que, para as variáveis ordinais do estudo, o modelo de melhor ajuste foi o de "concordância diagonal mais associação linear por linear". CONCLUSÕES: Os altos níveis de confiabilidade estimados permitem concluir que o processo de aferição dos itens sobre rede social foi adequado para as características investigadas. Estudos de validação em andamento complementarão a avaliação da qualidade dessas informações.

The effects of air pollution on cardiovascular diseases: lag structures

OBJECTIVE: To assess the lag structure between air pollution exposure and elderly cardiovascular diseases hospital admissions, by gender. METHODS: Health data of people aged 64 years or older was stratified by gender in São Paulo city, Southeastern Brazil, from 1996 to 2001. Daily levels of air pollutants (CO, PM10, O3, NO2, and SO2) , minimum temperature, and relative humidity were also analyzed. It were fitted generalized additive Poisson regressions and used constrained distributed lag models adjusted for long time trend, weekdays, weather and holidays to assess the lagged effects of air pollutants on hospital admissions up to 20 days after exposure. RESULTS: Interquartile range increases in PM10 (26.21 mug/m³) and SO2 (10.73 mug/m³) were associated with 3.17% (95% CI: 2.09-4.25) increase in congestive heart failure and 0.89% (95% CI: 0.18-1.61) increase in total cardiovascular diseases at lag 0, respectively. Effects were higher among female group for most of the analyzed outcomes. Effects of air pollutants for different outcomes and gender groups were predominately acute and some "harvesting" were found. CONLUSIONS: The results show that cardiovascular diseases in São Paulo are strongly affected by air pollution.

Environmental determinants for natural regeneration of gallery forest at the Cerrado/Amazonia boundaries in Brazil

Natural regeneration and structure and their relationship to environmental variables were studied in three sections of a gallery forest, in Eastern Mato Grosso, Brazil (14º43′S and 52º21′W). The assumption was that natural regeneration is constrained by environmental determinants at all stages of development of the tree community. The objective was to analyse the forest structure and to verify the relationship between species distribution and abundance at different stages of regeneration and environmental variables. In each section, 47 contiguous (10x10m) permanent plots were established to sample trees (gbh≥15cm), following a systematic design. Seedlings (0.01 to 1m height), saplings (1.01 to 2m) and poles (from 2.01m height to gbh<15cm) were sampled in sub-plots of 1x1m, 2x2m and 5x5m, respectively. In each plot, soil properties, gaps projection, bamboos, rocky cover, declivity and depth of ground watertable were determined. The relationships between the environmental variables with trees and seedling communities were assessed by canonical correspondence analysis. In spite of the sections being near to each other, they presented large differences in floristics, structure and site conditions. The forest soil presented a low cation exchange capacity and a high level of Al saturation. The occurrence of bamboos and gaps and the depth of ground watertable limited the occurrence of poles and trees. The high degree of structural heterogeneity for each regeneration category was related primarily to a humidity gradient; but soil fertility (Ca+Mg) was also a determinant of seedling and sapling communities.

Implante de stent em bifurcação coronária

Descrevem-se dois casos de angioplastia transluminal coronária (ATC) com implante de stents em bifurcação de coronária descendente anterior (DA) com artéria diagonal (DI), destacando-se as técnicas utilizadas. No caso 1, implantou-se na DA um flexistent Gianturco-Roubin (GR) e através de suas hastes, um Palmaz-Schatz (PS) no óstio de DI, com sucesso. O reestudo angiográfico em sete meses mostrou ausência de reestenose. No caso 2, implantou-se metade de um stent PS em DA e outro PS em DI, nesta ordem, também com sucesso. No seguimento clínico de seis meses, paciente encontra-se assintomático.

Myocardial revascularization with coronary endarterectomy. Stratification of risk factors for early mortality

OBJECTIVE: To determine the risk factors for mortality related to myocardial revascularization when performed in association with coronary endarterectomy. METHODS: We assessed retrospectively 353 patients who underwent 373 coronary endarterectomies between January '89 and November '98, representing 3.73% of the myocardial revascularizations in this period of time. The arteries involved were as follows: right coronary artery in 218 patients (58.45%); left anterior descending in 102 patients (27.35%); circumflex artery in 39 patients (10.46%); and diagonal artery in 14 patients (3.74%). We used 320 (85.79%) venous grafts and 53 (14.21%) arterial grafts. RESULTS: In-hospital mortality among our patients was 9.3% as compared with 5.7% in patients with myocardial revascularizations without endarterectomy (p=0.003). Cause of death was related to acute myocardial infarction in 18 (54.55%) patients. The most significant risk factors for mortality identified were as follows: diabetes mellitus (p=0.001; odds ratio =7.168), left main disease (<0.001; 9.283), female sex (0.01; 3.111), acute myocardial infarction (0.02; 3.546), ejection fraction <35% (<0.001; 5.89), and previous myocardial revascularization (<0.001; 4.295). CONCLUSION: Coronary endarterectomy is related to higher mortality, and the risk factors involved are important elements of a poor outcome.

Transradial approach for coronary interventions

OBJECTIVE: To assess the feasibility and safety of coronary interventions performed through the radial artery. METHODS: We studied 103 patients with ages from 38 to 86 years (57±8.7), 90 (87%) males, and: radial pulse with a good amplitude, presence of ulnar pulse, a good collateral flow through the palmar arch assessed with the Allen's test. RESULTS: The vascular approach was obtained in 97 (94%) patients, 88 (91%) treated electively and 9 (9%) during acute myocardial infarction, for primary angioplasty; 56 (64%) unstable angina; 22 (25%) stable angina; 10 (11%) were asymptomatic, 6 referred for recanalization of chronic occlusion and 4 silent ischemia in the first week after acute myocardial infarction. We approached 107 arteries: anterior descending artery, 49 (46%); right coronary artery, 27 (25%); circumflex artery, 25 (23%); diagonal artery, 6 (6%); and 2 saphenous vein bypass grafts. We treated 129 lesions: 80 (62%) B2 type; 23 (18%) B1 type; 17 (13%) C type; and 9 (7%). A type. There were 70 stents , and 59 balloon angioplasties performed. Thirty-two (33%) patients used GP IIb/IIIa inhibitors. The mean duration of the elective procedure was 42.3±12.8 min. Success, correct stent deployment and residual lesion <20%, was reached in 100% of the lesions treated with stent implantation; arterial dilation with residual lesion <50% was obtained in 96% of the lesions treated with transluminal coronary angioplasty (TCA). Complications, were: 1 (1.0%) non-Q-wave acute myocardial infarction; 2 (2%) hematomas in the forearm; and 2 losses of radial pulse. CONCLUSION: Radial artery aproach is practical and safe for percutaneous coronary interventions there was a low incidence of complications.

Kawasaki disease: involution of giant coronary aneurysms after prolonged anti-inflammatory treatment

The patient is a 5-year-old male with Kawasaki disease, whose involution of giant aneurysms of the left coronary arteries was surprising after a prolonged period of treatment, which lasted 80 uninterrupted days and comprised anti-inflammatory drugs associated with anticoagulation agents. The distal diameters of the anterior interventricular, the diagonal, and the circumflex arteries normalized by the end of the treatment. A residual giant aneurysm localized at the beginning of the anterior interventricular artery did not cause ischemia. Continuation of the medication for a prolonged period was recommended.

Os ramos ventriculares posteriores das artérias coronárias no homem

OBJETIVO: Descrever os ramos ventriculares posteriores no tecido adiposo epicárdico e propor um novo critério de análise da distribuição desses ramos, conforme a classificação tradicional, a fim de determinar a predominância ou o equilíbrio entre as artérias coronárias no suprimento arterial do coração. MÉTODOS: Dissecados 40 corações obtidos de necroscopias de adultos, fixados em solução de formol e a face posterior de cada ventrículo dividida em oito áreas, aproximadamente iguais, para a classificação morfológica da circulação coronariana. Foram considerados os três tipos tradicionais: A) dominância da direita, B) tipo balanceado e C) dominância da esquerda e analisados o número, o diâmetro e as áreas de terminação dos ramos ventriculares posteriores no epicárdio. RESULTADOS: Os ramos verificados e sua freqüência foram: ramo marginal esquerdo - 100%; ramos posteriores do ventrículo esquerdo: lateral - 75%, intermédio - 82,5% e medial - 87,5%; ramo interventricular posterior - 95%; ramos posteriores do ventrículo direito: medial - 40%, intermédio - 32,5% e lateral - 40%; ramo diagonal posterior do ventrículo direito - 17,5%; ramo marginal direito - 95%. Foram encontrados 62,5% de dominância da artéria coronária direita, 25% de tipo balanceado e 12,5% de dominância da coronária esquerda. CONCLUSÃO: O método adotado permitiu-nos uma classificação mais precisa dos casos analisados nos tipos de distribuição coronariana. O tipo de dominância da artéria coronária direita foi o prevalente, seguido do equilíbrio e da dominância esquerda.

Revascularização do miocárdio em paciente com situs inversus totalis

Relatamos o caso de um paciente com situs inversus totalis associado a coronariopatia obstrutiva em artérias descendente anterior e posterior, coronária direita, primeiro ramo diagonal e ramo marginal esquerdo, quadro condizente com a intervenção de revascularização do miocárdio. Esse procedimento não é freqüente na literatura médica, sendo encontrado apenas um relato na literatura brasileira. A revascularização do miocárdio foi realizada com a artéria mamária interna direita para a artéria descendente anterior, e uma ponte de safena para coronária direita, marginal esquerda, primeiro ramo diagonal e descendente posterior. A cirurgia foi realizada com o auxílio de circulação extracorpórea.

Descrição morfológica e implicações clínicas de pontes miocárdicas: um estudo anatômico em colombianos

FUNDAMENTO: Pontes miocárdicas representam uma fonte de discussão em pesquisa. Pontes miocárdicas são consideradas uma variação cardíaca vascular devido à sua intermitente ou repetida redução do lúmen arterial, com um possível efeito isquêmico. OBJETIVO: O objetivo do presente estudo foi determinar a incidência de pontes miocárdicas na população miscigenada da Colômbia. MÉTODOS: 154 corações foram estudados, tendo sido extraídos em autópsias. As artérias coronárias foram injetadas com resina sintética e limpas através da extração da gordura pericárdica. RESULTADOS: 92 pontes miocárdicas foram observadas em 62 corações (40,3%). O comprimento médio das pontes era de 19,9 mm. As pontes miocárdicas variaram por artéria, de uma ponte em 42 corações (27,3%), duas pontes em 11 corações (7,2%), três pontes em oito corações (5,2%) e quatro pontes em um coração (0,7%). A maioria das pontes encontrava-se com a artéria interventricular esquerda em seus segmentos proximal e intermediário em 61 casos (39,6%) e com a artéria diagonal esquerda em 11 casos (7,2%). As artérias se exteriorizavam em porção anterior às pontes miocárdicas (segmento pré-ponte) em 50 casos (54,3%) da amostra, com uma média de 1,41 mm de calibre. Terceira artéria coronária estava presente em 46 casos (29,8%) do total da amostra. Uma freqüência maior de pontes miocárdicas foi encontrada em corações com terceira artéria coronária. CONCLUSÃO: É necessário considerar a importância clínica das variações, tendo em vista a distribuição arterial e as implicações clínicas relacionadas.

A molecular contribution to the controversial taxonomical status of some freshwater snails (Caenogastropoda: Rissooidea, Cochliopidae) from the Central Andes desert to Patagonia

For over 40 years malacologists have been discussing the taxonomical status of Heleobia species, an enigmatic genus from Cochliopidae family (Caenogastropoda: Rissooidea). As with other rissooidean families, the considerable character convergence and the paucity of anatomical synapomorphies has proved to be a problem in resolving cochliopid phylogenetic relations and establishing the validity of several nominal cochliopid species. Here we present a molecular contribution to solve the taxonomical status of one of the most abundant Southern South America cochliopid genera which has many endemic species. We report molecular evidence that supports three of the four Heleobia groups described for this region, the "australis", "parchappii" and "piscium" groups. The fourth, the "hatcheri" group, belongs not to Heleobia but to a different genus which itself should not be considered as part of the family Cochliopidae but closely related to genus Potamolithus Pilsbry & Rush, 1896.

Distribuição de abundância e tamanho do corpo de invertebrados do folhiço em uma floresta de terra firme na Amazônia Central, Brasil

Abundace and body size distribution of invertebrates of leaf litter in Amazonian forest, Brazil. Based on 605 invertebrates sampled of the litter in an Amazonian Forest, some basic macroecological patterns for this assemblage were described. The relationship between abundance and body size, at logarithmic scale, was triangular, and the distribution of species was constrained in an asymmetric triangular envelope, that was tested using null model procedures in ECOSIM (P= 0,0002). The most abundant species were at an intermediated body size. The relationship between maximum abundance with different mean body size classes confirmed the Energetic Equivalent Rule (b = -1,069; t-0,75 = -2,13; P = 0.079). This way, species tend to consume energy from the community independent of their body size, since requirements are compensated by local population density.

Foraging strategies of the ant Ectatomma vizottoi (Hymenoptera, Formicidae)

Foraging strategies of the ant Ectatomma vizottoi (Hymenoptera, Formicidae). Foraging activity may be limited by temperature, humidity, radiation, wind, and other abiotic factors, all of which can affect energy costs during foraging. Ectatomma vizottoi's biology has only recently been studied, and no detailed information is available on its foraging patterns or diet in the field. For this reason, and because foraging activity is an important part of the ecological success of social insects, the present study aimed to investigate E. vizottoi's foraging strategies and dietary habits. First, we determined how abiotic factors constrained E. vizottoi's foraging patterns in the field by monitoring the foraging activity of 16 colonies on eight different days across two seasons. Second, we characterized E. vizottoi's diet by monitoring another set of 26 colonies during peak foraging activity. Our results show that E. vizottoi has foraging strategies that are similar to those of congeneric species. In spite of having a low efficiency index, colonies adopted strategies that allowed them to successfully obtain food resources while avoiding adverse conditions. These strategies included preying on other ant species, a foraging tactic that could arise if a wide variety of food items are not available in the environment or if E. vizottoi simply prefers, regardless of resource availability, to prey on other invertebrates and especially on other ant species.