19 resultados para lower semi-continuous maps and functions

em Repositório Científico do Instituto Politécnico de Lisboa - Portugal


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This work concerns dynamics and bifurcations properties of a new class of continuous-defined one-dimensional maps: Tsoularis-Wallace's functions. This family of functions naturally incorporates a major focus of ecological research: the Allee effect. We provide a necessary condition for the occurrence of this phenomenon of extinction. To establish this result we introduce the notions of Allee's functions, Allee's effect region and Allee's bifurcation curve. Another central point of our investigation is the study of bifurcation structures for this class of functions, in a three-dimensional parameter space. We verified that under some sufficient conditions, Tsoularis-Wallace's functions have particular bifurcation structures: the big bang and the double big bang bifurcations of the so-called "box-within-a-box" type. The double big bang bifurcations are related to the existence of flip codimension-2 points. Moreover, it is verified that these bifurcation cascades converge to different big bang bifurcation curves, where for the corresponding parameter values are associated distinct kinds of boxes. This work contributes to clarify the big bang bifurcation analysis for continuous maps and understand their relationship with explosion birth and extinction phenomena.

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In this paper we define and investigate generalized Richards' growth models with strong and weak Allee effects and no Allee effect. We prove the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, depending on the implicit conditions, which involve the several parameters considered in the models. New classes of functions describing the existence or not of Allee effect are introduced, a new dynamical approach to Richards' populational growth equation is established. These families of generalized Richards' functions are proportional to the right hand side of the generalized Richards' growth models proposed. Subclasses of strong and weak Allee functions and functions with no Allee effect are characterized. The study of their bifurcation structure is presented in detail, this analysis is done based on the configurations of bifurcation curves and symbolic dynamics techniques. Generically, the dynamics of these functions are classified in the following types: extinction, semi-stability, stability, period doubling, chaos, chaotic semistability and essential extinction. We obtain conditions on the parameter plane for the existence of a weak Allee effect region related to the appearance of cusp points. To support our results, we present fold and flip bifurcations curves and numerical simulations of several bifurcation diagrams.

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Dissertation elaborated for the partial fulfilment of the requirements of the Master Degree in Civil Engineering in the Speciality Area of Hydarulics

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This paper concerns dynamics and bifurcations properties of a class of continuous-defined one-dimensional maps, in a three-dimensional parameter space: Blumberg's functions. This family of functions naturally incorporates a major focus of ecological research: the Allee effect. We provide a necessary condition for the occurrence of this phenomenon, associated with the stability of a fixed point. A central point of our investigation is the study of bifurcations structure for this class of functions. We verified that under some sufficient conditions, Blumberg's functions have a particular bifurcations structure: the big bang bifurcations of the so-called "box-within-a-box" type, but for different kinds of boxes. Moreover, it is verified that these bifurcation cascades converge to different big bang bifurcation curves, where for the corresponding parameter values are associated distinct attractors. This work contributes to clarify the big bang bifurcation analysis for continuous maps. To support our results, we present fold and flip bifurcations curves and surfaces, and numerical simulations of several bifurcation diagrams.

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In this paper, motivated by the interest and relevance of the study of tumor growth models, a central point of our investigation is the study of the chaotic dynamics and the bifurcation structure of Weibull-Gompertz-Fréchet's functions: a class of continuousdefined one-dimensional maps. Using symbolic dynamics techniques and iteration theory, we established that depending on the properties of this class of functions in a neighborhood of a bifurcation point PBB, in a two-dimensional parameter space, there exists an order regarding how the infinite number of periodic orbits are born: the Sharkovsky ordering. Consequently, the corresponding symbolic sequences follow the usual unimodal kneading sequences in the topological ordered tree. We verified that under some sufficient conditions, Weibull-Gompertz-Fréchet's functions have a particular bifurcation structure: a big bang bifurcation point PBB. This fractal bifurcations structure is of the so-called "box-within-a-box" type, associated to a boxe ω1, where an infinite number of bifurcation curves issues from. This analysis is done making use of fold and flip bifurcation curves and symbolic dynamics techniques. The present paper is an original contribution in the framework of the big bang bifurcation analysis for continuous maps.

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The main purpose of this work was to study population dynamic discrete models in which the growth of the population is described by generalized von Bertalanffy's functions, with an adjustment or correction factor of polynomial type. The consideration of this correction factor is made with the aim to introduce the Allee effect. To the class of generalized von Bertalanffy's functions is identified and characterized subclasses of strong and weak Allee's functions and functions with no Allee effect. This classification is founded on the concepts of strong and weak Allee's effects to population growth rates associated. A complete description of the dynamic behavior is given, where we provide necessary conditions for the occurrence of unconditional and essential extinction types. The bifurcation structures of the parameter plane are analyzed regarding the evolution of the Allee limit with the aim to understand how the transition from strong Allee effect to no Allee effect, passing through the weak Allee effect, is realized. To generalized von Bertalanffy's functions with strong and weak Allee effects is identified an Allee's effect region, to which is associated the concepts of chaotic semistability curve and Allee's bifurcation point. We verified that under some sufficient conditions, generalized von Bertalanffy's functions have a particular bifurcation structure: the big bang bifurcations of the so-called box-within-a-box type. To this family of maps, the Allee bifurcation points and the big bang bifurcation points are characterized by the symmetric of Allee's limit and by a null intrinsic growth rate. The present paper is also a significant contribution in the framework of the big bang bifurcation analysis for continuous 1D maps and unveil their relationship with the explosion birth and the extinction phenomena.

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Introduction - Cerebrovascular diseases, and among them, cerebral vascular accidents, are one of the main causes of morbidity and disability at European Union countries. Clinical framework resulting from these diseases include important limitations in functional ability of the these patients Postural control dysfunctions are one of the most common and devastating consequences of a stroke interfering with function and autonomy and affecting different aspects of people’s life and contributing to decrease quality of life. Neurological physiotherapy plays a central role in the recovery of movement and posture, however it is necessary to study the efficacy of techniques that physiotherapists use to treat these problems. Objectives - The aim of this study was to investigate the effects of a physiotherapy intervention program, based on oriented tasks and strengthening of the affected lower limb, on balance and functionality of individuals who have suffered a stroke. In addition our study aimed to investigate the effect of strength training of the affected lower limb on muscle tone.

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This study investigated the effects of task-oriented training and strengthening of the affected lower limb on balance and function in people who have suffered a stroke. Sixteen male adults, with a mean age of 58 (SD 6.3) years, undergoing outpatient physiotherapy less than 1 month after a single stroke in the territory of the middle cerebral artery were recruited. Participants were allocated to one of two groups: the strengthening group (SG) or control group (CG). The main measures used were the Berg Balance Scale (BBS), Barthel Index (BI) and Modified Ashworth Scale (MAS). After 12 weeks of intervention, both groups showed improvements in outcome measures. For BBS, there was a significant difference between groups, with an increase of 26 points in the SG and 11 points in the CG. For BI, the SG improved by 39 points and the CG improved by 22 points. After intervention, the difference between groups was not significant. For MAS, differences were not significant, showing that for both groups intervention programmes did not increase spasticity. In conclusion, physiotherapy intervention for postural control dysfunctions after stroke seems to benefit from strength training of the affected lower limb and the practising functional tasks. A large randomized controlled trial is recommended to further investigate the effects of this intervention.

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O presente trabalho tem como principal objectivo tentar conhecer e compreender as concepções educativas de um Centro de Actividades Ocupacionais face ao seu público-alvo em particular, as suas dimensões mais relevantes, os factores que as condicionam e os contextos que as limitam ou facilitam. Procurou-se conhecer as concepções e práticas dos actores educativos que intervêm na formação/educação junto de pessoas portadoras de deficiência mental adultas, clientes de um Centro de Actividades Ocupacionais, geograficamente situado em Lisboa. Para tal, elaborou-se um Estudo de Caso utilizando entrevistas semi estruturadas a sete profissionais do centro como técnica de recolha de dados, sendo estes posteriormente tratados através da análise de conteúdo. Assim, definiram-se como objectivos específicos do estudo: caracterizar as finalidades educativas do Centro de Actividades Ocupacionais; caracterizar as práticas de desenvolvimento para os adultos deficientes mentais; caracterizar o modo de participação dos clientes nas actividades: aspectos facilitadores e constrangimentos; identificar as dificuldades dos funcionários do Centro de Actividades Ocupacionais no atendimento aos clientes; caracterizar as iniciativas da instituição face à actualização profissional dos seus funcionários no sentido de fornecer respostas mais adequadas às necessidades dos clientes e, ainda, caracterizar de acordo com o ponto de vista dos actores educativos, a participação das famílias no processo de desenvolvimento dos clientes. Os resultados do estudo evidenciam que as actividades desenvolvidas no Centro de Actividades Ocupacionais se dividem entre as consideradas como socialmente úteis, como a montagem de material eléctrico, por exemplo, e as estritamente ocupacionais. Embora um dos objectivos do Centro de Actividades Ocupacionais seja a inserção do cliente na comunidade, da análise de dados ressalta que não existem muitas actividades que divulguem para o exterior o trabalho desenvolvido pelos adultos portadores de deficiência mental, promovendo pouca interacção dos indivíduos com a comunidade. As profissionais que participaram no estudo revelam motivação para trabalhar junto dos clientes e preocupação em melhorar o seu desempenho profissional, daí sentirem necessidade em adquirir formação contínua e partilhar experiências com outros profissionais. As famílias dos clientes são consideradas pelas participantes do estudo como sendo participativas no quotidiano do seu familiar, contudo existem factores que condicionam essa participação, como o envelhecimento dos progenitores. Abstract The present work aims to know and understand the educational conceptions of an Occupational Activities Center taking into consideration its target audience, particularly, its most relevant dimensions, the conditioning factors and its respective restrictive or facilitating contexts. The objective was to understand the concepts and daily practices of the educational actors that participate in the training/education of the mentally disabled adults who attend an Occupational Activities Center located in Lisbon. In that light, a Case Study was conducted using as the data collection technique semistructured interviews made to seven employees from the Center. This data was later on processed through content analysis. Thus, the following was defined as the study’s specific goals. To: characterize the educational purposes of the Occupational Activities Center; characterize development practices for the mentally disabled adults; characterize the clients’ participation process in the activities and the respective enabling and restrictive aspects; identify the Occupational Activities Center employees’ problems regarding client assistance; characterize the institution’s initiatives regarding the professional update of its employees in order to provide more adequate answers to its clients’ needs and, finally to identify from the educational actors’ perspective the participative role families’ take on when it comes to the clients’ development processes. The study results determine that the activities developed in the Occupational Activities Center are distinguished between the ones considered socially useful, such as the assembly of electric material, and the strictly occupational activities. Although one of the Occupational Activities Center goals is the insertion of the client within the community itself, the data analysis shows that there aren’t many activities that promote to the outside world the work performed by these mentally disabled adults, not advertising enough the individuals’ interaction with the community. The professional women who participated in the study show determination and motivation in working with the clients and also a concern in improving their professional performances, from this derives their need to attend continuous training and to share experiences with other professionals. The study's participants find the clients’ families involved in the daily routines of their relatives. Nonetheless, there are some factors that condition that involvement, such as the parents’ aging.

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Mestrado em Intervenção Sócio-Organizacional na Saúde - Área de especuialização: Políticas de administração e gestão de serviços de saúde.

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Coordination of apical constriction in epithelial sheets is a fundamental process during embryogenesis. Here, we show that DRhoGEF2 is a key regulator of apical pulsation and constriction of amnioserosal cells during Drosophila dorsal closure. Amnioserosal cells mutant for DRhoGEF2 exhibit a consistent decrease in amnioserosa pulsations whereas overexpression of DRhoGEF2 in this tissue leads to an increase in the contraction time of pulsations. We probed the physical properties of the amnioserosa to show that the average tension in DRhoGEF2 mutant cells is lower than wild-type and that overexpression of DRhoGEF2 results in a tissue that is more solid-like than wild-type. We also observe that in the DRhoGEF2 overexpressing cells there is a dramatic increase of apical actomyosin coalescence that can contribute to the generation of more contractile forces, leading to amnioserosal cells with smaller apical surface than wild-type. Conversely, in DRhoGEF2 mutants, the apical actomyosin coalescence is impaired. These results identify DRhoGEF2 as an upstream regulator of the actomyosin contractile machinery that drives amnioserosa cells pulsations and apical constriction.

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Dissertação apresentada à Escola Superior de Educação de Lisboa para obtenção de grau de mestre em Ciências da Educação, especialidade de Supervisão em Educação

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In this work liver contour is semi-automatically segmented and quantified in order to help the identification and diagnosis of diffuse liver disease. The features extracted from the liver contour are jointly used with clinical and laboratorial data in the staging process. The classification results of a support vector machine, a Bayesian and a k-nearest neighbor classifier are compared. A population of 88 patients at five different stages of diffuse liver disease and a leave-one-out cross-validation strategy are used in the classification process. The best results are obtained using the k-nearest neighbor classifier, with an overall accuracy of 80.68%. The good performance of the proposed method shows a reliable indicator that can improve the information in the staging of diffuse liver disease.

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Dissertação apresentada à Escola Superior de Educação de Lisboa para obtenção do grau de mestre em Ciências da Educação, especialidade em Supervisão em Educação

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The Iberian viticultural regions are convened according to the Denomination of Origin (DO) and present different climates, soils, topography and management practices. All these elements influence the vegetative growth of different varieties throughout the peninsula, and are tied to grape quality and wine type. In the current study, an integrated analysis of climate, soil, topography and vegetative growth was performed for the Iberian DO regions, using state-of-the-art datasets. For climatic assessment, a categorized index, accounting for phenological/thermal development, water availability and grape ripening conditions was computed. Soil textural classes were established to distinguish soil types. Elevation and aspect (orientation) were also taken into account, as the leading topographic elements. A spectral vegetation index was used to assess grapevine vegetative growth and an integrated analysis of all variables was performed. The results showed that the integrated climate-soil-topography influence on vine performance is evident. Most Iberian vineyards are grown in temperate dry climates with loamy soils, presenting low vegetative growth. Vineyards in temperate humid conditions tend to show higher vegetative growth. Conversely, in cooler/warmer climates, lower vigour vineyards prevail and other factors, such as soil type and precipitation acquire more important roles in driving vigour. Vines in prevailing loamy soils are grown over a wide climatic diversity, suggesting that precipitation is the primary factor influencing vigour. The present assessment of terroir characteristics allows direct comparison among wine regions and may have great value to viticulturists, particularly under a changing climate.