Funções trigonométricas

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Funções trigonométricas elementares e tecnologia: algumas aplicações no currículo da rede pública estadual de São Paulo

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)

Practical analytic geometry with applications to aircraft /

"Answers": p. 273-277.

Increasing quasiconcave production and utility functions with diminishing returns to scale

In microeconomic analysis functions with diminishing returns to scale (DRS) have frequently been employed. Various properties of increasing quasiconcave aggregator functions with DRS are derived. Furthermore duality in the classical sense as well as of a new type is studied for such aggregator functions in production and consumer theory. In particular representation theorems for direct and indirect aggregator functions are obtained. These involve only small sets of generator functions. The study is carried out in the contemporary framework of abstract convexity and abstract concavity.

Neuroendocrine, metabolic, and immune functions during the acute phase response of inflammatory stress in monosodium L-glutamate-damaged, hyperadipose male rat.

In rats, neonatal treatment with monosodium L-glutamate (MSG) induces several metabolic and neuroendocrine abnormalities, which result in hyperadiposity. No data exist, however, regarding neuroendocrine, immune and metabolic responses to acute endotoxemia in the MSG-damaged rat. We studied the consequences of MSG treatment during the acute phase response of inflammatory stress. Neonatal male rats were treated with MSG or vehicle (controls, CTR) and studied at age 90 days. Pituitary, adrenal, adipo-insular axis, immune, metabolic and gonadal functions were explored before and up to 5 h after single sub-lethal i.p. injection of bacterial lipopolysaccharide (LPS; 150 microg/kg). Our results showed that, during the acute phase response of inflammatory stress in MSG rats: (1) the corticotrope-adrenal, leptin, insulin and triglyceride responses were higher than in CTR rats, (2) pro-inflammatory (TNFalpha) cytokine response was impaired and anti-inflammatory (IL-10) cytokine response was normal, and (3) changes in peripheral estradiol and testosterone levels after LPS varied as in CTR rats. These data indicate that metabolic and neroendocrine-immune functions are altered in MSG-damaged rats. Our study also suggests that the enhanced corticotrope-corticoadrenal activity in MSG animals could be responsible, at least in part, for the immune and metabolic derangements characterizing hypothalamic obesity.

Gliotransmission in the hippocampus, mechanisms and interaction with synaptic functions

SUMMARYAstrocytes represent the largest cell population in the human brain. In addition to a well established role as metabolic support for neuronal activity, in the last years these cells have been found to accomplish other important and, sometimes, unexpected functions. The tight enwrapping of synapses by astrocytic processes and the predominant expression of glutamate uptake carriers in the astrocytic rather than neuronal plasma membranes brought to the definition of a critical involvement of astrocytes in the clearance of glutamate from synaptic junctions. Moreover, several publications showed that astrocytes are able to release chemical transmitters (gliotransmitters) suggesting their active implication in the control of synaptic functions. Among gliotransmitters, the best characterized is glutamate, which has been proposed to be released from astrocytes in a Ca2+ dependent manner via exocytosis of synaptic-like microvesicles.In my thesis I present results leading to substantial advancement of the understanding of the mechanisms by which astrocytes modulate synaptic activity in the hippocampus, notably at excitatory synapses on dentate granule cells. I show that tumor necrosis factor- alpha (TNFa), a molecule that is generally involved in immune system functions, critically controls astrocyte-to-synapse communication (gliotransmission) in the brain. With constitutive levels of TNFa present, activation of purinergic G protein-coupled receptors in astrocytes, called P2Y1 receptors, induces localized intracellular calcium ([Ca2+]j) elevation in astrocytic processes (measured by two-photon microscopy) followed by glutamate release and activation of pre-synaptic NMDA receptors resulting in synaptic potentiation. In preparations lacking TNFa, astrocytes respond with identical [Ca2+]i elevations but fail to induce neuromodulation. I find that TNFa specifically controls the glutamate release step of gliotransmission. Addition of very low (picomolar) TNFa concentrations to preparations lacking the cytokine, promptly reconstitutes both normal exocytosis in cultured astrocytes and gliotransmission in hippocampal slices. These data provide the first demonstration that gliotransmission and its synaptic effects are controlled not only by astrocyte [Ca2+]i elevations but also by permissive/homeostatic factors like TNFa.In addition, I find that higher and presumably pathological TNFa concentrations do not act just permissively but instead become direct and potent triggers of glutamate release from astrocytes, leading to a strong enhancement of excitatory synaptic activity. The TNFa action, like the one observed upon P2Y1R activation, is mediated by pre-synaptic NMDA receptors, but in this case the effect is long-lasting, and not reversible. Moreover, I report that a necessary molecular target for this action of TNFa is TNFR1, one of the two specific receptors for the cytokine, as I found that TNFa was unable to induce synaptic potentiation when applied in slices from TNFR1 knock-out (Tnfrlv") mice. I then created a double transgenic mouse model where TNFR1 is knocked out in all cells but can be re-expressed selectively in astrocytes and I report that activation of the receptors in these cells is sufficient to reestablish TNFa-dependent long-lasting potentiation of synaptic activity in the TNFR1 knock-out mice.I therefore discovered that TNFa is a primary molecule displaying both permissive and instructive roles on gliotransmission controlling synaptic functions. These reports might have profound implications for the understanding of both physiological and pathological processes associated to TNFa production, including inflammatory processes in the brain.RÉSUMÉLes astrocytes sont les cellules les plus abondantes du cerveau humain. Outre leur rôle bien établi dans le support métabolique de l'activité neuronale, d'autres fonctions importantes, et parfois inattendues de ces cellules ont été mises en lumière au cours de ces dernières années. Les astrocytes entourent étroitement les synapses de leurs fins processus qui expriment fortement les transporteurs du glutamate et permettent ainsi aux astrocytes de jouer un rôle critique dans l'élimination du glutamate de la fente synaptique. Néanmoins, les astrocytes semblent être capables de jouer un rôle plus intégratif en modulant l'activité synaptique, notamment par la libération de transmetteurs (gliotransmetteurs). Le gliotransmetteur le plus étudié est le glutamate qui est libéré par l'exocytose régulée de petites vésicules ressemblant aux vésicules synaptiques (SLMVs) via un mécanisme dépendant du calcium.Les résultats présentés dans cette thèse permettent une avancée significative dans la compréhension du mode de communication de ces cellules et de leur implication dans la transmission de l'information synaptique dans l'hippocampe, notamment des synapses excitatrices des cellules granulaires du gyrus dentelé. J'ai pu montrer que le « facteur de nécrose tumorale alpha » (TNFa), une cytokine communément associée au système immunitaire, est aussi fondamentale pour la communication entre astrocyte et synapse. Lorsqu'un niveau constitutif très bas de TNFa est présent, l'activation des récepteurs purinergiques P2Y1 (des récepteurs couplés à protéine G) produit une augmentation locale de calcium (mesurée en microscopie bi-photonique) dans l'astrocyte. Cette dernière déclenche ensuite une libération de glutamate par les astrocytes conduisant à l'activation de récepteurs NMDA présynaptiques et à une augmentation de l'activité synaptique. En revanche, dans la souris TNFa knock-out cette modulation de l'activité synaptique par les astrocytes n'est pas bien qu'ils présentent toujours une excitabilité calcique normale. Nous avons démontré que le TNFa contrôle spécifiquement l'exocytose régulée des SLMVs astrocytaires en permettant la fusion synchrone de ces vésicules et la libération de glutamate à destination des récepteurs neuronaux. Ainsi, nous avons, pour la première fois, prouvé que la modulation de l'activité synaptique par l'astrocyte nécessite, pour fonctionner correctement, des facteurs « permissifs » comme le TNFa, agissant sur le mode de sécrétion du glutamate astrocytaire.J'ai pu, en outre, démontrer que le TNFa, à des concentrations plus élevées (celles que l'on peut observer lors de conditions pathologiques) provoque une très forte augmentation de l'activité synaptique, agissant non plus comme simple facteur permissif mais bien comme déclencheur de la gliotransmission. Le TNFa provoque 1'activation des récepteurs NMD A pré-synaptiques (comme dans le cas des P2Y1R) mais son effet est à long terme et irréversible. J'ai découvert que le TNFa active le récepteur TNFR1, un des deux récepteurs spécifiques pour le TNFa. Ainsi, l'application de cette cytokine sur une tranche de cerveau de souris TNFR1 knock-out ne produit aucune modification de l'activité synaptique. Pour vérifier l'implication des astrocytes dans ce processus, j'ai ensuite mis au point un modèle animal doublement transgénique qui exprime le TNFR1 uniquement dans les astrocytes. Ce dernier m'a permis de prouver que l'activation des récepteurs TNFR1 astrocytaires est suffisante pour induire une augmentation de l'activité synaptique de manière durable.Nous avons donc découvert que le TNFa possède un double rôle, à la fois un rôle permissif et actif, dans le contrôle de la gliotransmission et, par conséquent, dans la modulation de l'activité synaptique. Cette découverte peut potentiellement être d'une extrême importance pour la compréhension des mécanismes physiologiques et pathologiques associés à la production du TNFa, en particulier lors de conditions inflammatoires.RÉSUMÉ GRAND PUBLICLes astrocytes représentent la population la plus nombreuse de cellules dans le cerveau humain. On sait, néanmoins, très peu de choses sur leurs fonctions. Pendant très longtemps, les astrocytes ont uniquement été considérés comme la colle du cerveau, un substrat inerte permettant seulement de lier les cellules neuronales entre elles. Il n'y a que depuis peu que l'on a découvert de nouvelles implications de ces cellules dans le fonctionnement cérébral, comme, entre autres, une fonction de support métabolique de l'activité neuronale et un rôle dans la modulation de la neurotransmission. C'est ce dernier aspect qui fait l'objet de mon projet de thèse.Nous avons découvert que l'activité des synapses (régions qui permettent la communication d'un neurone à un autre) qui peut être potentialisée par la libération du glutamate par les astrocytes, ne peut l'être que dans des conditions astrocytaires très particulières. Nous avons, en particulier, identifié une molécule, le facteur de nécrose tumorale alpha (TNFa) qui joue un rôle critique dans cette libération de glutamate astrocytaire.Le TNFa est surtout connu pour son rôle dans le système immunitaire et le fait qu'il est massivement libéré lors de processus inflammatoires. Nous avons découvert qu'en concentration minime, correspondant à sa concentration basale, le TNFa peut néanmoins exercer un rôle indispensable en permettant la communication entre l'astrocyte et le neurone. Ce mode de fonctionnement est assez probablement représentatif d'un processus physiologique qui permet d'intégrer la communication astrocyte/neurone au fonctionnement général du cerveau. Par ailleurs, nous avons également démontré qu'en quantité plus importante, le TNFa change son mode de fonctionnement et agit comme un stimulateur direct de la libération de glutamate par l'astrocyte et induit une activation persistante de l'activité synaptique. Ce mode de fonctionnement est assez probablement représentatif d'un processus pathologique.Nous sommes également arrivés à ces conclusions grâce à la mise en place d'une nouvelle souche de souris doublement transgéniques dans lesquelles seuls les astrocytes (etnon les neurones ou les autres cellules cérébrales) sont capables d'être activés par le TNFa.

The Effect of Four-Lane to Three-Lane Conversion on the Number of Crashes and Crash Rates in Iowa Roads, June 2005

We analyze crash data collected by the Iowa Department of Transportation using Bayesian methods. The data set includes monthly crash numbers, estimated monthly traffic volumes, site length and other information collected at 30 paired sites in Iowa over more than 20 years during which an intervention experiment was set up. The intervention consisted in transforming 15 undivided road segments from four-lane to three lanes, while an additional 15 segments, thought to be comparable in terms of traffic safety-related characteristics were not converted. The main objective of this work is to find out whether the intervention reduces the number of crashes and the crash rates at the treated sites. We fitted a hierarchical Poisson regression model with a change-point to the number of monthly crashes per mile at each of the sites. Explanatory variables in the model included estimated monthly traffic volume, time, an indicator for intervention reflecting whether the site was a “treatment” or a “control” site, and various interactions. We accounted for seasonal effects in the number of crashes at a site by including smooth trigonometric functions with three different periods to reflect the four seasons of the year. A change-point at the month and year in which the intervention was completed for treated sites was also included. The number of crashes at a site can be thought to follow a Poisson distribution. To estimate the association between crashes and the explanatory variables, we used a log link function and added a random effect to account for overdispersion and for autocorrelation among observations obtained at the same site. We used proper but non-informative priors for all parameters in the model, and carried out all calculations using Markov chain Monte Carlo methods implemented in WinBUGS. We evaluated the effect of the four to three-lane conversion by comparing the expected number of crashes per year per mile during the years preceding the conversion and following the conversion for treatment and control sites. We estimated this difference using the observed traffic volumes at each site and also on a per 100,000,000 vehicles. We also conducted a prospective analysis to forecast the expected number of crashes per mile at each site in the study one year, three years and five years following the four to three-lane conversion. Posterior predictive distributions of the number of crashes, the crash rate and the percent reduction in crashes per mile were obtained for each site for the months of January and June one, three and five years after completion of the intervention. The model appears to fit the data well. We found that in most sites, the intervention was effective and reduced the number of crashes. Overall, and for the observed traffic volumes, the reduction in the expected number of crashes per year and mile at converted sites was 32.3% (31.4% to 33.5% with 95% probability) while at the control sites, the reduction was estimated to be 7.1% (5.7% to 8.2% with 95% probability). When the reduction in the expected number of crashes per year, mile and 100,000,000 AADT was computed, the estimates were 44.3% (43.9% to 44.6%) and 25.5% (24.6% to 26.0%) for converted and control sites, respectively. In both cases, the difference in the percent reduction in the expected number of crashes during the years following the conversion was significantly larger at converted sites than at control sites, even though the number of crashes appears to decline over time at all sites. Results indicate that the reduction in the expected number of sites per mile has a steeper negative slope at converted than at control sites. Consistent with this, the forecasted reduction in the number of crashes per year and mile during the years after completion of the conversion at converted sites is more pronounced than at control sites. Seasonal effects on the number of crashes have been well-documented. In this dataset, we found that, as expected, the expected number of monthly crashes per mile tends to be higher during winter months than during the rest of the year. Perhaps more interestingly, we found that there is an interaction between the four to three-lane conversion and season; the reduction in the number of crashes appears to be more pronounced during months, when the weather is nice than during other times of the year, even though a reduction was estimated for the entire year. Thus, it appears that the four to three-lane conversion, while effective year-round, is particularly effective in reducing the expected number of crashes in nice weather.

Implicit and explicit functions in the acquisition of a phonics rule in the word recognition of learning disabled and non learning disabled students /

One group of 12 non learning disabled students and two groups of 12 learning disabled students between the ges of 10 and 12 were measured on implicit and explicit knowledge cquisition. Students in each group implicitly cquired knowledge bout I of 2 vocabulary rules. The vocabulary rules governed the pronunciation of 2 types of pseudowords. After completing the implicit acquisition phase, all groups were administered a test of implicit knowledge. The non learning disabled group and I learning disabled group were then asked to verbalize the knowledge acquired during the initial phase. This was a test of explicit knowledge. All 3 groups were then given a postlest of implicit knowledge. This tcst was a measure of the effectiveness of the employment of the verbalization technique. Results indicate that implicit knowledge capabilities for both the learning disabled and non learning disabled groups were intact. However. there were significant differences between groups on explicit knowledge capabilities. This led to the conclusion that implicit functions show little individual differences, and that explicit functions are affected by ability difference. Furthermore, the employment of the verbalization technique significantly increased POStlest scores for learning disabled students. This suggested that the use of metacognitive techniques was a beneficial learning tool for learning disabled students.

Role of the protein tyrosine phosphatase DEP-1 in Src activation and the mediation of biological cell functions of endothelial and breast cancer cells

L’implication des protéines tyrosines phosphatases (PTPs) dans la régulation de la signalisation et la médiation des fonctions cellulaires a été bien établie dans les dernières années. Cependant, les mécanismes moléculaires par lesquels les PTPs régulent les processus fondamentaux tels que l’angiogenèse demeurent méconnus. Il a été rapporté que l’expression de la PTP DEP-1 (Density-enhanced phosphatase 1) augmente avec la densité cellulaire et corrèle avec la déphosphorylation du récepteur VEGFR2. Cette déphosphorylation contribue à l’inhibition de contact dans les cellules endothéliales à confluence et diminue l’activité du VEGFR2 en déphosphorylant spécifiquement ses résidus catalytiques Y1054/1059. De plus, la plupart des voies de signalisation en aval du VEGFR2 sont diminuées sauf la voie Src-Gab1-AKT. DEP-1 déphosphoryle la Y529 de Src et contribue à la promotion de la survie dans les cellules endothéliales. L’objectif de cette thèse est de mieux définir le rôle de DEP-1 dans la régulation de l’activité de Src et les réponses biologiques dans les cellules endothéliales. Nous avons identifié les résidus Y1311 et Y1320 dans la queue C-terminale de DEP-1 comme sites majeurs de phosphorylation en réponse au VEGF. La phosphorylation de ces résidus est requise pour l’activation de Src et médie le remodelage des jonctions cellules-cellules dépendantes de Src. Ce remodelage induit la perméabilité, l’invasion et la formation de capillaires en réponse au VEGF. Nos résultats démontrent que la phosphorylation de DEP-1 sur résidu tyrosine est requise pour diriger la spécificité de DEP-1 vers son substrat Src. Les travaux révèlent pour la première fois un rôle positif de DEP-1 sur l’induction du programme angiogénique des cellules endothéliales. En plus de la phosphorylation sur tyrosine, DEP-1 est constitutivement phosphorylé sur la thréonine 1318 situé à proximité de la Y1320 en C-terminal. Cette localisation de la T1318 suggère que ce résidu pourrait être impliqué dans la régulation de la Y1320. En effet, nous avons observé que la T1318 de DEP-1 est phosphorylée potentiellement par CK2, et que cette phosphorylation régule la phosphorylation de DEP-1 sur tyrosine et sa capacité de lier et d’activer Src. En accord avec ces résultats, nos travaux révèlent que la surexpression du mutant DEP-1 T1318A diminue le remodelage des jonctions cellules-cellules et par conséquent la perméabilité. Nos résultats suggèrent donc que la T1318 de DEP-1 constitue un nouveau mécanisme de contrôle de la phosphorylation sur tyrosine et que ceci résulte en l’activation de Src et l’induction des fonctions biologiques des cellules endothéliales en réponse au VEGF. Suite à ces travaux dans les cellules endothéliales qui démontrent un rôle positif de DEP-1 dans la médiation des réponses angiogéniques, nous avons voulu approfondir nos connaissances sur l’implication potentielle de DEP-1 dans les cellules cancéreuses où l’activité de Src est requise pour la progression tumorale. Malgré le rôle connu de DEP-1 comme suppresseur tumoral dans différents types de cancer, nous avons émis l’hypothèse que DEP-1 pourrait promouvoir les fonctions biologiques dépendantes de Src telles que la migration et l’invasion dans les cellules cancéreuses. Ainsi, nous avons observé que l’expression de DEP-1 est plus élevée dans les lignées basales de cancer du sein qui sont plus invasives comparativement aux lignées luminales peu invasives. Dans les lignées basales, DEP-1 active Src, médie la motilité cellulaire dépendante de Src et régule la localisation des protéines impliquées dans l’organisation du cytosquelette. L’analyse d’un micro-étalage de tissu a révélé que l’expression de DEP-1 est associée avec une réduction tendencielle de survie des patients. Nos résultats proposent donc, un rôle de promoteur tumoral pour DEP-1 dans la progression du cancer du sein. Les travaux présentés dans cette thèse démontrent pour la première fois que DEP-1 peut agir comme promoteur des réponses angiogéniques et du phénotype pro-invasif des lignées basales du cancer du sein probablement du à sa capacité d’activer Src. Nos résultats suggèrent ainsi que l’expression de DEP-1 pourrait contribuer à la progression tumorale et la formation de métastases. Ces découvertes laissent donc entrevoir que DEP-1 représente une nouvelle cible thérapeutique potentielle pour contrer l’angiogenèse et le développement du cancer.

Vector functions and curves

Exercises and solutions about vector functions and curves.

Mnesic performance and executive functions in patients with multiple sclerosis (MS)

The Episodic Memory (EM) and the Executive Functions (EF) are cognitive areas that are affected in patients with diagnosis of Multiple Sclerosis (MS). Nowadays there exists scarce works destined to explore the infl uence of the EF on measures of mnesic performance in MS. For this reason, we analyze the effect of the EF on the performance in a set of memory measures. We worked with a clinical group (n=36) and with a control group (n=36) compared by age and educational level. The results show that the clinical group obtained significantly low average values in all the mnesic indexes (with exception of recognition) and in all the executive measures. All the executive indexes showed significant associations with some of the indexes of mnesic performance. These findings suggest that the problems in the episodic memory in EM patients could be analyzed as the manifestation of a global disorder that could be similar to the one that involves the EF. 

Potential energy functions for ground state surfaces of HCO and HNO

Analytical potential functions are reported for the ground state surfaces of HCO and HNO, the functions being derived from spectroscopic and ab initio data. Harmonized force fields have been deduced for the stable configurations of both molecules and vibration frequencies predicted for the metastable species COH and NOH.

Massless and massive one-loop three-point functions in negative dimensional approach

In this article we present the complete massless and massive one-loop triangle diagram results using the negative dimensional integration method (NDIM). We consider the following cases: massless internal fields; one massive, two massive with the same mass m and three equal masses for the virtual particles. Our results are given in terms of hypergeometric and hypergeometric-type functions of the external momenta (and masses for the massive cases) where the propagators in the Feynman integrals are raised to arbitrary exponents and the dimension of the space-time is D. Our approach reproduces the known results; it produces other solutions as yet unknown in the literature as well. These new solutions occur naturally in the context of NDIM revealing a promising technique to solve Feynman integrals in quantum field theories.

Laguerre moments and generalized functions

Here we explore the link between the moments of the Laguerre polynomials or Laguerre moments and the generalized functions (as the Dirac delta-function and its derivatives), presenting several interesting relations. A useful application is related to a procedure for calculating mean values in quantum optics that makes use of the so-called quasi-probabilities. One of them, the P-distribution, can be represented by a sum over Laguerre moments when the electromagnetic field is in a photon-number state. Consequently, the P-distribution can be expressed in terms of Dirac delta-function and derivatives. More specifically, we found a direct relation between P-distributions and the Laguerre factorial moments.

Higher grading conformal affine Toda theory and (generalized) sine-Gordon/massive Thirring duality

Some properties of the higher grading integrable generalizations of the conformal affine Toda systems are studied. The fields associated to the non-zero grade generators are Dirac spinors. The effective action is written in terms of the Wess-Zumino-Novikov-Witten (WZNW) action associated to an affine Lie algebra, and an off-critical theory is obtained as the result of the spontaneous breakdown of the conformal symmetry. Moreover, the off-critical theory presents a remarkable equivalence between the Noether and topological currents of the model. Related to the off-critical model we define a real and local lagrangian provided some reality conditions are imposed on the fields of the model. This real action model is expected to describe the soliton sector of the original model, and turns out to be the master action from which we uncover the weak-strong phases described by (generalized) massive Thirring and sine-Gordon type models, respectively. The case of any (untwisted) affine Lie algebra furnished with the principal gradation is studied in some detail. The example of s^l(n) (n = 2, 3) is presented explicitly. © SISSA/ISAS 2003.