Equações de diferenças e aplicações

Sistemas dinâmicos são todos os sistemas que evoluem no tempo, qualquer que seja a sua natureza, isto é, sistemas fisícos, biológicos, químicos, sociais, económicos, etc.. Esta evoluçãoo pode ser descrita (modelada) por equaçõess de diferenças, uma vez que esse tempo é muitas vezes medido em intervalos discretos. As equações de diferenças aparecem também quando se estuda métodos para a discretização de equações diferenciais. Assim, este trabalho tem por principal objectivo estudar as soluções de alguns tipos de equações de diferenças. Para isso, começa-se por introduzir o conceito de diferença e a sua relação com as equações de diferenças. Em seguida, determina-se a solução geral das todas as equações lineares de primeira ordem, bem como o estudo do seu comportamento assimptótico. Prossegue-se, desenvolvendo as principais técnicas para determinar a soluçãoo de equações de diferenças lineares de qualquer ordem. Em particular, estudam-se as equações com coeficientes constantes. Depois de se desenvolver a teoria básica dos sistemas lineares de equações de diferenças, particulariza-se aos sistemas lineares autónomos,com apenas duas variáveis dependentes, fazendo assim o estudo do comportamento das soluções no plano de fases. Por fim, utiliza-se a transformada Z como uma ferramenta que permite resolver equações de diferenças, em especial as equações de tipo convolução.

O golfe enquanto meio de compreensão e transformação do indivíduo

Cada vez mais, o fenómeno desportivo é suportado pelo conhecimento de um conjunto de disciplinas científicas que, quando devidamente articuladas sob um quadro de complexidade coerente, promovem um melhor entendimento acerca das mudanças que ocorrem no indivíduo. Neste sentido, através da realização do presente trabalho, procurámos perceber qual o enquadramento conferido ao golfe e se esse enquadramento é compatível com a ideia de o golfe servir de ferramenta para a compreensão e transformação do indivíduo. Para isso, através da literatura existente, procurámos conhecer quais as suas origens e evolução, de que forma está caracterizado (conceitos e opiniões dos diferentes agentes desportivos), qual a sua expressão (ao nível dos diferentes mercados) e que tipo de estudos e investigações existentes (focados no jogador) apoiam a sua evolução. De seguida, realizámos o enquadramento do golfe à luz da Taxonomia das Actividades Desportivas de Fernando Almada e analisámos o swing com base no Modelo Taxonómico dos Desportos Individuais. Como forma de testar a conjectura de que o golfe pode servir para a compreensão e transformação do indivíduo, realizámos uma situação experimental com um grupo de 14 jogadores (com handicaps compreendidos entre 5 e 32) de forma a perceber se existiam diferenças significativas no seu desempenho (p _ 0,05), quando expostos a diferentes condições (uma condição confortável e a uma condição de desconfortável). Os resultados globais (da amostra) não evidenciaram diferenças significativas, ao contrário de alguns dos resultados individuais, que por sua vez, permitiram estabelecer ligações com as diferentes variáveis funcionais inerentes à realização do swing,possibilitando-nos a formulação de um conjunto de hipóteses que poderão servir de orientação à compreensão de algumas das características mais marcantes do jogador.

Aptidão física associada à saúde e fatores psicossociais: diferenças entre praticantes de ginástica rítmica, desportos colectivos e não praticantes do sexo feminino, dos 9 aos 15 anos

Esta dissertação contempla dois estudos e possui como objetivos: (1) estudar a relação entre a participação desportiva, aptidão física (AptF), atividade física (AF) e sedentarismo e (2) determinar a influência do apoio parental, dos pares e da autoeficácia nos níveis de AF geral e organizada. Participaram em ambos os estudos 240 raparigas, com idades entre os 9 e 15 anos, 71 praticantes de ginástica rítmica (GR), 87 de desportos coletivos (DC) e 82 não praticantes (NP). As participantes foram avaliadas na altura, peso, perímetro da cintura e pregas de adiposidade tricipital e geminal. A AptF foi avaliada através da bateria de teste FitnessGram (Cooper Institute, 2010). A AF (Crocker et al., 1997), atividades sedentárias (ASed), a maturação sexual (Tanner, 1962), o apoio parental e dos pares (Prochaska et al., 2002) e a autoeficácia (Motl et al., 2000) foram avaliados através de questionários. Principais resultados: (1) independentemente do grupo de participação desportiva constataram-se reduzidos níveis de AF e de AptF; as ginastas apresentam níveis de AptF e de AF mais elevados comparativamente às NP (p<0,05) e praticantes de DC (p>0,05), não se registando diferenças nas ASed (p>0,05). (2) Verificou-se diferenças no apoio social (parental e dos pares) e na autoeficácia, entre as NP com as praticantes de DC (p<0,05) e com as praticantes de GR (p<0,05). As ginastas reportaram, em média, níveis mais elevados de apoio social (parental e dos pares) e de autoeficácia. Através da regressão linear múltipla, constata-se que níveis mais elevados de apoio parental e dos pares estão associados a níveis de AF mais elevados (p>0,05), sendo que 9,8% da variabilidade dos níveis de AF é explicado pelo apoio parental e 4,1% pelo apoio dos pares. Este trabalho reforça a necessidade de elaboração de programas de intervenção que potencializem a AF, e que devem contemplar estratégias de apoio social e promoção da autoeficácia.

Início da função gonadal no sagui comum (Callithrix jacchus): diferenças entre gêneros

Os primatas não humanos, como Callithrix jacchus vêm sendo utilizados com maior frequência em pesquisa biomédica e, recentemente, nosso laboratório propôs uma nova classificação para monitorar com mais detalhes as modificações comportamentais e hormonais relacionadas ao desenvolvimento. O presente trabalho monitorou os níveis de hormônios gonadais de 4 machos e 6 fêmeas de C. jacchus durante as fases juvenil I e II e subadulta (dos 5 aos 15 meses). Os resultados apontaram que os níveis de progesterona nas fêmeas e andrógenas nos machos foram estatisticamente mais elevados nos estágios juvenil II e subadulto, respectivamente, em relação ao estágio juvenil I. Estes achados indicam que, de acordo com a nova classificação, foi possível observar que o funcionamento gonadal se instala mais cedo nas fêmeas

Clarinetas em Si Bemol e em Fá: diferenças acústicas e interpretativas

ALBERTO,Gabriel Gagliano Pinto. Clarinetas em Si Bemol e em Lá: diferenças acústicas e interpretativas. Belo Horizonte, MG, 2004. Orientador: Prof. Dr. Maurício Alves Loureiro. Dissertação (Mestrado) - Escola de Música da Universidade Federal de Minas Gerais.

Diferenças acústicas e interpretativas entre as clarinetas em Si Bemal e em Lá

ALBERTO, Gabriel Gagliano Pinto. Diferenças acústicas e interpretativas entre as clarinetas em Si Bemol e La. In: CONGRESSO DA ANPPOM, 15., 2005. Rio de Janeiro. Anais ... Rio de Janeiro, 2005.

Negros misturados: um estudo de caso sobre identidades negras em Mossoró-RN

With more or less 213.000 habitants, Mossoró is the second more developed city from the Rio Grande do Norte. The town is proclamated like the land of freedom. To so far, exist four moments in your history related with the defence of freedom that is point like truthful from so proclamation. Suchlike happenings are the first female vote on Brazil, the resistance against the Lampião s band, the worman s mutiny and the slave release in 1883, five year before the Áurea law sanction. These happenings are commemorate yearly on setember with one big theatrical event called by the freedom high. Inside this contexto of exaltation to freedom, there is one black movement by name black and beautiful. Is the present dissertation, talked about the building of black identities between the black militants of Mossoró and the dwellers from the Santo Antônio district. With such approach, we intend to think about possibles differences or likeness, how the militants and dwellers from the refered district self-calleds like blacks or not. We are understanding black identity like one process to self-affirmation done by specificities of the social context and the individual particularity. This way, the identity change into one dynamic and contextual reality, gone always by one business process against the interaction of the social actors. So we search to discuss the specificities that involve the process to building of black identities in the city of freedom

Análise comparativa entre simuladores de linha de fluxo e diferenças finitas para um reservatório de petróleo submetido a injeção de água

Water injection is the most widely used method for supplementary recovery in many oil fields due to various reasons, like the fact that water is an effective displacing agent of low viscosity oils, the water injection projects are relatively simple to establish and the water availability at a relatively low cost. For design of water injection projects is necessary to do reservoir studies in order to define the various parameters needed to increase the effectiveness of the method. For this kind of study can be used several mathematical models classified into two general categories: analytical or numerical. The present work aims to do a comparative analysis between the results presented by flow lines simulator and conventional finite differences simulator; both types of simulators are based on numerical methods designed to model light oil reservoirs subjected to water injection. Therefore, it was defined two reservoir models: the first one was a heterogeneous model whose petrophysical properties vary along the reservoir and the other one was created using average petrophysical properties obtained from the first model. Comparisons were done considering that the results of these two models were always in the same operational conditions. Then some rock and fluid parameters have been changed in both models and again the results were compared. From the factorial design, that was done to study the sensitivity analysis of reservoir parameters, a few cases were chosen to study the role of water injection rate and the vertical position of wells perforations in production forecast. It was observed that the results from the two simulators are quite similar in most of the cases; differences were found only in those cases where there was an increase in gas solubility ratio of the model. Thus, it was concluded that in flow simulation of reservoirs analogous of those now studied, mainly when the gas solubility ratio is low, the conventional finite differences simulator may be replaced by flow lines simulator the production forecast is compatible but the computational processing time is lower.

Fatores de risco individuais e familiares no desenvolvimento da pré-eclâmpia

Preeclampsia is a spectral disease, with different clinical forms which can evolve with severe multisystemic complications. This present study aimed to determine the risk factors associated with preeclampsia (PE); to validate the existence of aggregation of hypertensive disease in families of women with preeclampsia and verify the existence of association between polymorphisms in the VEGF gene and level of VEGF and its soluble receptor (sFlt1). A case-control study was performed (n = 851). Genotyping of VEGF was performed and serum levels of VEGF and sFlt1 were measured by ELISA. It was observed that 38% of mothers (173, 455) of a case of preeclampsia and 30.8% (78 of 361) of controls had history of hypertension (p <0.0001). Similarly, when examining the history of maternal preeclampsia, we observed that 14.6% (48 of 328) of mothers of women with preeclampsia and 9.6% (12 of 294) of mothers of controls had a history of preeclampsia (p = 0.0001). As for maternal history of preeclampsia, we found that 5.1% (15 of 295) of cases and 3.6% (7 of 314) of controls had a history of preeclampsia (p = 0.0568). Sisters of women with preeclampsia also had a history of hypertensive disease in 9% (41 of 455) versus 6.6% (13 of 361), p = 0.002. Similarly when examining the history of preeclampsia in sisters, it was observed that 22.7% (57 of 251) of a sister of case versus 11.4% (26 of 228) of controls had a history of preeclampsia (P = 0.0011). We observed a decrease in free VEGF in the serum of patients (P <0.05) and increased soluble VEGF receptor. There was no association between polymorphisms in the VEGF gene and preeclampsia. The data obtained in this work validate that hypertensive disease in mothers and sisters with preeclampsia are risk factors for preeclampsia. The risk of illness in the family is higher according to disease severity. High incidence of preeclampsia can be assumed by the high incidence of this disease among the controls. Significant differences between the frequency of preeclampsia in mothers of cases and controls indicate familial factors. Work is being conducted with the to eventually perform genome wide association studies to identify susceptibility loci

Diagnóstico molecular da talassemia ALFA+ (DELEÇÃO -3.7) em indivíduos com microcitose e/ou hipocromia

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Diferenças de gênero na produção de associações livres de palavras através do ciclo sono-vigília

Although several studies, have shown differences in cognitive performance between men and women, it not yet known whether these differences occur in tasks involving free association of words (WA). Studies across the sleep-wake cycle (SWC) suggest that rapid eye movement sleep (REM) favors semantic flexibility, in comparison with pre-sleep waking (Pre-WK), slow-wave sleep (SWS) and post-sleep waking (Post-WK). The present work has two aims: (1) to evaluate the semantic distances of word pairs produced by AP, comparing men and women, (2) to evaluate semantic distance in word pairs produced by free association across the SWC in young adults of both sexes. To achieve aim (1), we applied a task of WA in 68 adult volunteers during waking (52 women and 16 men). The WA task consisted of writing the first word that came to mind after viewing another word offered as a stimulus (root Word). To achieve aim (2), we performed polysomnography to identify specific stages of the SWC. The experimental subjects were then awakened (if they were asleep) and were immediately given a WA task. The task was administered to 2 groups of 10 subjects each (G1 and G2). G1 subjects were stimulated with the same set of root words after waking from various states of SWC, while G2 subjects received sets of different root words at each state of the SWC. In the absence of a Portuguese corpus suitable for the measurement of semantic distances, the words collected in our experiments were translated to English, and semantically quantified within a systematic and representative corpus of that language (Wordnet). This procedure removed the polysemies typical of Portuguese, but preserved the semantic macrostructure common to both languages. During waking, we found that semantic distances are significantly lower in WA produced by women, in comparison with the distances observed in men. Through the SWC, there were no statistically significant differences in G1. In G2 women, we detected a significant increase of semantic distances upon being awakened from SWS. In contrast, G2 men showed a significant increase in semantic distances upon being awakened from REM. The results of the first experiment are consistent with the notion that women have a more concrete reasoning than men. The results of the second experiment indicate that men awakened from REM present more flexibility in word association than when being awakened from other states. In contrast, women showed more flexible word association after being awakened from SWS, in compared with other states. The results indicate that the cognitive flexibility attributed to different states of the SWC shows gender dependency

Diagnóstico molecular da talassemia ALFA em indivíduos com microcitose e/ou hipocromia

Coordenação de Aperfeiçoamento de Pessoal de Nível Superior

Caracterização do nicho alimentar do polvo octopus insularis (cephalopoda: octopodidae): da população ao indivíduo

Octopus insularis, target species in this study, is the dominant benthic octopus of the North and Northeast Brazil. Studies on behavior and ecology of the species have been conducted primarily on oceanic islands, with little information on the continental populations. In this study, two regions of the coast of RN, Rio do Fogo and Pirangi, were chosen for the characterization of the niche by O. insularis populations. The dietary niche, habitat and distribution of O. insularis of oceanic islands and the mainland, were compared. In addition, individual characteristics of feeding behavior in a population at Atol das Rocas was studied, taking into account the size of individuals, the proximity of the dens and characteristics of their "personality". The diet of the Rio do Fogo population was composed mainly of bivalve molluscs (82%), unlike Pirangi population that has a diet consisting mainly of crustaceans Decapoda (68%), similar to that described for the populations of the islands. Consequently, the feeding niches of the island populations were more similar, with greater overlap, but the niche breadth of the continent was larger. The habitats of occurrence on the coast includes reefs, rocks, gravel and an environment called Restinga, a plateau composed of biogenic gravel, sand, sponges and algae, showed a high density of animals. Similarly to that found in the islands, O. insularis in the continent, had a clumped distribution, and a bathymetric segregation between small and large individuals. The differences in diet composition among populations were explained by differences in habitat and coverage of the substrate, which may be directly influencing the diversity and prey availability in these environments. The individual analyzes of the population at Atol das Rocas, showed no relationship between the degree of individual specialization and the different personalities, or the distance between dens. The results suggest that the foraging strategy with greater availability of prey in the environment has an influence on diet octopuses over preferences or personalities

Efeitos individuais e interativos da diversidade de detritos, contexto e variabilidade ambiental sobre a magnitude e estabilidade do processo de decomposição

Studies on the effects of changes in biodiversity and ecosystem functioning have been a central theme in ecology over the past two decades. Several studies have showed that the diversity of plant debris differently affects the decomposition process in aquatic and terrestrial environments, but we know very about the effects of detritus diversity on decomposition under fluctuating environmental conditions. We tested whether and how the environmental contexts, as well as the dynamic of their alternation, influence the effects of detritus diversity on the decomposition process. We performed a field experiment where we manipulate the litter diversity of 8 species of terrestrial plants decomposing (litterbags) in single and in mixture containing the eight species together in three different environmental contexts: the terrestrial environment (T), aquatic (A) and interface (I) - experimental treatment that simulates variation in flooding regime. We measured the rate of decomposition through the loss of mass of the community and each individual detritus in monocultures and mixtures. Species richness and environmental variability had no effects on the magnitude and stability of the decomposition process. However, there were significant diversity effects on the decomposition of an individual alien species, F. benjamina. Environmental context had significant effects on the magnitude and variability of decomposition. Detritus decomposition was faster and more variable on aquatic, interface and terrestrial conditions, respectively. Our results demonstrate that the diversity of plant detritus has minor effects to the decomposition across disparate environmental conditions and suggest that it is necessary to consider the potential of other abiotic factors in affect the magnitude and variability of the decomposition processes