Análisis vectorial y tensorial. Una aplicación a las ondas planas en sismología

El análisis tensorial tiene aplicaciones en el campo de la geometría diferencial de curvas y superficies en un espacio ordinario, así como la generalización a espacios de mayor dimensión o regularmente llamada geometría Rimaniana; otra aplicación es en la física matemática, en la cual, el análisis tensorial permite la formulación de las leyes naturales en términos de tensores los cuales son independientes de cualquier sistema coordenado en particular. Como los vectores son uno de los muchos tipos de tensores que hay, se dan conceptos básicos del análisis vectorial tales como: coordenadas cartesianas rectangulares, producto escalar y vectorial, diferenciación con respecto a una variable escalar y diferenciación parcial haciendo un desarrollo suciente del operador nabla. Se dan los principios fundamentales de los tensores los cuales son conceptos matemáticos o físicos que tienen ciertas leyes especícas que están relacionados con los cambios en el sistema coordenado y se llega hasta la ecuación de movimiento escrita en forma tensorial.

Los modos de pensamiento analítico y sintético en el estudio del concepto de espacio vectorial

Ante el interés creciente por álgebra lineal y las dificultades que aún continúan presentando los estudiantes en el aprendizaje de los objetos abstractos de esta disciplina, el presente trabajo pretende apoyarse en el marco de la geometría sintética para introducir los espacios analíticos R1, R2 y R3 y poder sólo después realizar las generalizaciones pertinentes a Rn. Un análisis histórico permite comprender ciertas dificultades de los estudiantes y a la vez proporciona elementos para construir secuencias de actividades con miras a introducir los conceptos de álgebra lineal de tal manera que los estudiantes perciban la necesidad del formalismo, presentando todos los sentidos posibles de los conceptos en sus diferentes modos de representación, en particular conectarlo con sus conocimientos anteriores sobre los sistemas de ecuaciones lineales y la geometría. Esta investigación se desarrollará con estudiantes de primer año universitario, cuando llevan por primera vez álgebra lineal y el concepto de espacio vectorial es enseñado formalmente como una definición muy amplia que involucra varios conceptos previos.

A pointwise constrained version of the Liapunov convexity theorem for vectorial linear first-order control systems

We generalize the Liapunov convexity theorem's version for vectorial control systems driven by linear ODEs of first-order p = 1 , in any dimension d ∈ N , by including a pointwise state-constraint. More precisely, given a x ‾ ( ⋅ ) ∈ W p , 1 ( [ a , b ] , R d ) solving the convexified p-th order differential inclusion L p x ‾ ( t ) ∈ co { u 0 ( t ) , u 1 ( t ) , … , u m ( t ) } a.e., consider the general problem consisting in finding bang-bang solutions (i.e. L p x ˆ ( t ) ∈ { u 0 ( t ) , u 1 ( t ) , … , u m ( t ) } a.e.) under the same boundary-data, x ˆ ( k ) ( a ) = x ‾ ( k ) ( a ) & x ˆ ( k ) ( b ) = x ‾ ( k ) ( b ) ( k = 0 , 1 , … , p − 1 ); but restricted, moreover, by a pointwise state constraint of the type 〈 x ˆ ( t ) , ω 〉 ≤ 〈 x ‾ ( t ) , ω 〉 ∀ t ∈ [ a , b ] (e.g. ω = ( 1 , 0 , … , 0 ) yielding x ˆ 1 ( t ) ≤ x ‾ 1 ( t ) ). Previous results in the scalar d = 1 case were the pioneering Amar & Cellina paper (dealing with L p x ( ⋅ ) = x ′ ( ⋅ ) ), followed by Cerf & Mariconda results, who solved the general case of linear differential operators L p of order p ≥ 2 with C 0 ( [ a , b ] ) -coefficients. This paper is dedicated to: focus on the missing case p = 1 , i.e. using L p x ( ⋅ ) = x ′ ( ⋅ ) + A ( ⋅ ) x ( ⋅ ) ; generalize the dimension of x ( ⋅ ) , from the scalar case d = 1 to the vectorial d ∈ N case; weaken the coefficients, from continuous to integrable, so that A ( ⋅ ) now becomes a d × d -integrable matrix; and allow the directional vector ω to become a moving AC function ω ( ⋅ ) . Previous vectorial results had constant ω, no matrix (i.e. A ( ⋅ ) ≡ 0 ) and considered: constant control-vertices (Amar & Mariconda) and, more recently, integrable control-vertices (ourselves).

Model selection and the vectorial misspecification-resistant information criterion in multivariate time series

The thesis deals with the problem of Model Selection (MS) motivated by information and prediction theory, focusing on parametric time series (TS) models. The main contribution of the thesis is the extension to the multivariate case of the Misspecification-Resistant Information Criterion (MRIC), a criterion introduced recently that solves Akaike’s original research problem posed 50 years ago, which led to the definition of the AIC. The importance of MS is witnessed by the huge amount of literature devoted to it and published in scientific journals of many different disciplines. Despite such a widespread treatment, the contributions that adopt a mathematically rigorous approach are not so numerous and one of the aims of this project is to review and assess them. Chapter 2 discusses methodological aspects of MS from information theory. Information criteria (IC) for the i.i.d. setting are surveyed along with their asymptotic properties; and the cases of small samples, misspecification, further estimators. Chapter 3 surveys criteria for TS. IC and prediction criteria are considered for: univariate models (AR, ARMA) in the time and frequency domain, parametric multivariate (VARMA, VAR); nonparametric nonlinear (NAR); and high-dimensional models. The MRIC answers Akaike’s original question on efficient criteria, for possibly-misspecified (PM) univariate TS models in multi-step prediction with high-dimensional data and nonlinear models. Chapter 4 extends the MRIC to PM multivariate TS models for multi-step prediction introducing the Vectorial MRIC (VMRIC). We show that the VMRIC is asymptotically efficient by proving the decomposition of the MSPE matrix and the consistency of its Method-of-Moments Estimator (MoME), for Least Squares multi-step prediction with univariate regressor. Chapter 5 extends the VMRIC to the general multiple regressor case, by showing that the MSPE matrix decomposition holds, obtaining consistency for its MoME, and proving its efficiency. The chapter concludes with a digression on the conditions for PM VARX models.

Physiological implications of the regulation of vacuolar H+-ATPase by chloride ions

Vacuolar H+-ATPase is a large multi-subunit protein that mediates ATP-driven vectorial H+ transport across the membranes. It is widely distributed and present in virtually all eukaryotic cells in intracellular membranes or in the plasma membrane of specialized cells. In subcellular organelles, ATPase is responsible for the acidification of the vesicular interior, which requires an intraorganellar acidic pH to maintain optimal enzyme activity. Control of vacuolar H+-ATPase depends on the potential difference across the membrane in which the proton ATPase is inserted. Since the transport performed by H+-ATPase is electrogenic, translocation of H+-ions across the membranes by the pump creates a lumen-positive voltage in the absence of a neutralizing current, generating an electrochemical potential gradient that limits the activity of H+-ATPase. In many intracellular organelles and cell plasma membranes, this potential difference established by the ATPase gradient is normally dissipated by a parallel and passive Cl- movement, which provides an electric shunt compensating for the positive charge transferred by the pump. The underlying mechanisms for the differences in the requirement for chloride by different tissues have not yet been adequately identified, and there is still some controversy as to the molecular identity of the associated Cl--conducting proteins. Several candidates have been identified: the ClC family members, which may or may not mediate nCl-/H+ exchange, and the cystic fibrosis transmembrane conductance regulator. In this review, we discuss some tissues where the association between H+-ATPase and chloride channels has been demonstrated and plays a relevant physiologic role.

Diversidade, distribuição e abundância de flebotomíneos (Diptera: Psychodidae) no Paraná

Devido à crescente expansão da leishmaniose visceral americana (LVA) no Brasil, o presente estudo teve como objetivo identificar as espécies de flebotomíneos em áreas vulneráveis à transmissão dessa parasitose, bem como em outras sem qualquer informação sobre a presença desses dípteros no Paraná. As coletas de flebotomíneos foram realizadas em 46 localidades distribuídas em 37 municípios do Paraná, no período de março de 2004 a novembro de 2005. Em cada uma das localidades foram instaladas armadilhas de Falcão, durante três noites consecutivas, em vegetação natural e ambientes antrópicos (intra e peridomicílio). Ocasionalmente, foram instalas armadilhas de Shannon e feitas inspeções de paredes e aspiração em domicílio, peridomicílio e extradomicílio. O tratamento dos dados baseou-se na estimativa das freqüências e abundância das espécies, segundo cinco regiões de distintas paisagens originais. Coletaram-se 38.662 flebotomíneos de 23 espécies. Predominaram Nyssomyia neivai (Pinto) (75.6%), Ny. whitmani (Antunes & Coutinho) (10.1%), Migonemyia migonei (França) (7.8%), Expapillata firmatoi (Barreto et al.) (2.1%) and Pintomyia fischeri (Pinto) (1,6%); representando juntas 97,2% dos flebotomíneos coletados. Lutzomyia longipalpis (Lutz & Neiva) o principal vetor da LVA não foi encontrado. No entanto, capturou-se Lu. gaminarai (Cordero et al.), cujas fêmeas são morfologicamente semelhantes às de Lu. longipalpis. As espécies mais freqüentes e abundantes têm sido apontadas como vetores da leishmaniose tegumentar no Paraná e em outras áreas das Regiões Sudeste e Sul do Brasil. A presença de Lu. gaminarai no Paraná suscita a necessidade de estudos do seu comportamento, inclusive em relação à sua competência vetorial do agente da leishmaniose visceral.

Programa de Controle da Doença de Chagas no Estado de São Paulo: aspectos sorológicos e entomológicos de inquéritos entre escolares de ensino fundamental

Como parte de avaliação de medidas de controle de vetores, levadas a efeito no Estado de São Paulo, na década de 60, inquéritos sorológicos entre crianças escolares nascidas após sua aplicação foram realizados nos períodos abrangidos entre os anos 1968 e 1970, em todos os municípios do estado, à exceção dos da Grande São Paulo e, anualmente, de 1973 a 1983, em amostra selecionada a partir daqueles com as maiores soroprevalências para a infecção chagásica. No primeiro caso, a metodologia sorológica previu os exames à base da reação de fixação de complemento, em soros e, no segundo, a reação de imunofluorescência indireta, em eluatos de sangue total absorvido em papel-filtro. Presença de triatomíneos e sua condição de infecção por Trypanosoma cruzi, coligidas nos diversos municípios de acordo com o ano dos nascimentos dos escolares e da realização dos inquéritos, permitiram vislumbrar o quadro da infecção chagásica no Estado de São Paulo, naquelas épocas. A região de Sorocaba destacou-se das demais em termos sorológicos, sustentada pela presença do Triatoma infestans até o início da década de 70. Similarmente, a autoctonia dos casos foi aí observada de maneira preponderante, enquanto que em outras regiões do estado manteve-se um equilíbrio entre casos autóctones e importados. A análise dos dados revela que, ainda em 1974, a transmissão vetorial poderia registrar-se no estado. É importante destacar que, mesmo com falhas de cobertura, até o ano de 1997, não se observou mais sororreatividade para infecção chagásica nas idades inferiores a 15 anos, no Programa de Controle do Estado de São Paulo.

Ecologia de Haemagogus e Sabethes (Diptera: Culicidae) em áreas epizoóticas do vírus da febre amarela, Rio Grande do Sul, Brasil

Objetivou-se com este estudo investigar característica ecológica e o hábito alimentar de Haemagogus e Sabethes em área epizoótica da febre amarela silvestre em duas localidades do Rio Grande do Sul, capturados com aspirador, armadilha de Shannon e puçá. Para identificação do sangue ingerido pelas fêmeas foi utilizada a técnica imunoenzimática ELISA de captura. Obteve-se maior atividade de Hg. leucocelaenus na primavera e outono, entre 12 e 17 horas, enquanto Sabethes albiprivus e Sa. quasycianus durante todo o ano. Para fêmeas de Hg. leucocelaenus em Santo Antônio das Missões, houve predomínio de sangue humano e para as demais espécies destaca-se a atratividade para bovinos nos dois municípios. A capacidade vetorial do Hg. leucocelaenus fundamenta vigilância entomológica em seu papel de estratificar áreas problemas ou a sustentabilidade do programa de imunização da população

Genetic-morphometric variation in Culex quinquefasciatus from Brazil and La Plata, Argentina

Variation among natural populations of Culex (Culex) quinquefasciatus Say is associated with different vectorial capacities. The species Cx. quinquefasciatus is present in the equatorial, tropical and subtropical zones in the Brazilian territory, with intermediate forms between Cx. quinquefasciatus and Culex pipiens occurring in regions of latitudes around 33°-35°S. Herein, we studied geographically distinct populations of Cx. quinquefasciatus by genetic characterization and analysis of intra-specific wing morphometrics. After morphological analysis, molecular characterization of Cx. quinquefasciatus and intermediate forms was performed by polymerase chain reaction of the polymorphic nuclear region of the second intron of the acetylcholinesterase locus. Additionally, the morphology of adult female wings collected from six locations was analyzed. Wing centroid sizes were significantly different between some geographical pairs. Mean values of R2/R2+3 differed significantly after pairwise comparisons. The overall wing shape represented by morphometric characters could be divided into two main groupings. Our data suggest that Brazilian samples are morphologically and genetically distinct from the Argentinean samples and also indicated a morphological distinction between northern and southern populations of Brazilian Cx. quinquefasciatus. We suggest that wing morphology may be used for preliminary assessment of population structure of Cx. quinquefasciatusin Brazil

Registro de Aedes albopictus em áreas epizoóticas de febre amarela das Regiões Sudeste e Sul do Brasil (Díptera:Culicidae)

Durante estudo biológico e ecológico sobre mosquitos levado a cabo em área com registro de epidemia de febre amarela silvestre e epizootia em macacos, foram encontrados adultos de Aedes Albopictus. A tendência da espécie para invadir ambiente extradomiciliar potencializa a chance de infecção natural, ao tempo em que evolui para formar um elo entre focos naturais de vírus e o ambiente urbano. Esta Nota Técnica representa um alerta aos gestores dos três poderes públicos sobre perspectivas de mudanças no perfil epidemiológico atual da febre amarela no Brasil

Blood Meal-Derived Heme Decreases ROS Levels in the Midgut of Aedes aegypti and Allows Proliferation of Intestinal Microbiota

The presence of bacteria in the midgut of mosquitoes antagonizes infectious agents, such as Dengue and Plasmodium, acting as a negative factor in the vectorial competence of the mosquito. Therefore, knowledge of the molecular mechanisms involved in the control of midgut microbiota could help in the development of new tools to reduce transmission. We hypothesized that toxic reactive oxygen species (ROS) generated by epithelial cells control bacterial growth in the midgut of Aedes aegypti, the vector of Yellow fever and Dengue viruses. We show that ROS are continuously present in the midgut of sugar-fed (SF) mosquitoes and a blood-meal immediately decreased ROS through a mechanism involving heme-mediated activation of PKC. This event occurred in parallel with an expansion of gut bacteria. Treatment of sugar-fed mosquitoes with increased concentrations of heme led to a dose dependent decrease in ROS levels and a consequent increase in midgut endogenous bacteria. In addition, gene silencing of dual oxidase (Duox) reduced ROS levels and also increased gut flora. Using a model of bacterial oral infection in the gut, we show that the absence of ROS resulted in decreased mosquito resistance to infection, increased midgut epithelial damage, transcriptional modulation of immune-related genes and mortality. As heme is a pro-oxidant molecule released in large amounts upon hemoglobin degradation, oxidative killing of bacteria in the gut would represent a burden to the insect, thereby creating an extra oxidative challenge to the mosquito. We propose that a controlled decrease in ROS levels in the midgut of Aedes aegypti is an adaptation to compensate for the ingestion of heme.

Challenges and opportunities for primary, secondary, and tertiary prevention of Chagas' disease

A century after its discovery, Chagas' disease still represents a major public health challenge in Latin America. Moreover, because of growing population movements, an increasing number of cases of imported Chagas' disease have now been detected in non-endemic areas, such as North America and some European countries. This parasitic zoonosis, caused by Trypanosoma cruzi, is transmitted to humans by infected Triatominae insects, or occasionally by non-vectorial mechanisms, such as blood transfusion, mother to fetus, or oral ingestion of materials contaminated with parasites. Following the acute phase of the infection, untreated individuals enter a chronic phase that is initially asymptomatic or clinically unapparent. Usually, a few decades later, 40-50% of patients develop progressive cardiomyopathy and/or motility disturbances of the oesophagus and colon. In the last decades several interventions targeting primary, secondary and tertiary prevention of Chagas' disease have been attempted. While control of both vectorial and blood transfusion transmission of T cruzi (primary prevention) has been successful in many regions of Latin America, early detection and aetiological treatment of asymptomatic subjects with Chagas' disease (secondary prevention) have been largely underutilised. At the same time, in patients with established chronic disease, several pharmacological and non-pharmacological interventions are currently available and have been increasingly used with the intention of preventing or delaying complications of the disease (tertiary prevention). In this review we discuss in detail each of these issues.

Slavnov-Taylor identities for noncommutative QED(4)

In this work we present an analysis of the one-loop Slavnov-Taylor identities in noncommutative QED(4). The vectorial fermion-photon and the triple photon vertex functions were studied, with the conclusion that no anomalies arise.

New calibration technique for multiple-component stress wave force balances

Force measurement in hypervelocity expansion tubes is not possible using conventional techniques. The stress wave force balance technique can be applied in expansion tubes to measure forces despite the short test times involved. This paper presents a new calibration technique for multiple-component stress wave force balances where an impulse response created using a load distribution is required and no orthogonal surfaces on the model exist.. This new technique relies on the tensorial superposition of single-component impulse responses analogous to the vectorial superposition of the calibration loads. The example presented here is that of a scale model of the Mars Pathfinder, but the technique is applicable to any geometry and may be useful for cases where orthogonal loads cannot be applied.

hnRNP A2 selectively binds the cytoplasmic transport sequence of myelin basic protein mRNA

Segregation of mRNAs in the cytoplasm of polar cells has been demonstrated for proteins involved in Xenopus and Drosophila oogenesis, and for some proteins in somatic cells. It is assumed that vectorial transport of the messages is generally responsible for this localization. The mRNA encoding the basic protein of central nervous system myelin is selectively transported to the distal ends of the processes of oligodendrocytes, where it is anchored to the myelin membrane and translated. This transport is dependent on a 21-nucleotide cis-acting segment of the 3'-untranslated region (RTS). Proteins that bind to this cis-acting segment have now been isolated from extracts of rat brain. A group of six 35-42-kDa proteins bind to a 35-base oligoribonucleotide incorporating the RTS, but not to several oligoribonucleotides with the same composition but randomized sequences, thus establishing specificity for the base sequence in the RTS. The most abundant of these proteins has been identified, by Edman sequencing of tryptic peptides and mass spectroscopy, as heterogeneous nuclear ribonucleoprotein (hnRNP) A2, a 36-kDa member of a family of proteins that are primarily, but not solely, intranuclear. This protein was most abundant in samples from rat brain and testis, with lower amounts in other tissues. It was separated from the other polypeptides by using reverse-phase HPLC and shown to retain preferential association with the RTS. In cultured oligodendrocytes, hnRNP A2 was demonstrated by confocal microscopy to be distributed throughout the nucleus, cell soma, and processes.