991 resultados para Matrix models


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Dissertação apresentada para obtenção do Grau de Doutor em Engenharia Electrotécnica e de Computadores – Sistemas Digitais e Percepcionais pela Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia

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This paper addresses the estimation of surfaces from a set of 3D points using the unified framework described in [1]. This framework proposes the use of competitive learning for curve estimation, i.e., a set of points is defined on a deformable curve and they all compete to represent the available data. This paper extends the use of the unified framework to surface estimation. It o shown that competitive learning performes better than snakes, improving the model performance in the presence of concavities and allowing to desciminate close surfaces. The proposed model is evaluated in this paper using syntheticdata and medical images (MRI and ultrasound images).

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Comunicação apresentada no Congresso do IIAS-IISA no âmbito do IX Grupo de Estudo: Serviço público e política, realizado em Ifrane, Marrocos de 13 a 17 de junho de 2014

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This paper introduces a new hyperspectral unmixing method called Dependent Component Analysis (DECA). This method decomposes a hyperspectral image into a collection of reflectance (or radiance) spectra of the materials present in the scene (endmember signatures) and the corresponding abundance fractions at each pixel. DECA models the abundance fractions as mixtures of Dirichlet densities, thus enforcing the constraints on abundance fractions imposed by the acquisition process, namely non-negativity and constant sum. The mixing matrix is inferred by a generalized expectation-maximization (GEM) type algorithm. This method overcomes the limitations of unmixing methods based on Independent Component Analysis (ICA) and on geometrical based approaches. DECA performance is illustrated using simulated and real data.

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Binary operations on commutative Jordan algebras, CJA, can be used to study interactions between sets of factors belonging to a pair of models in which one nests the other. It should be noted that from two CJA we can, through these binary operations, build CJA. So when we nest the treatments from one model in each treatment of another model, we can study the interactions between sets of factors of the first and the second models.

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Population dynamics have been attracting interest since many years. Among the considered models, the Richards’ equations remain one of the most popular to describe biological growth processes. On the other hand, Allee effect is currently a major focus of ecological research, which occurs when positive density dependence dominates at low densities. In this chapter, we propose the dynamical study of classes of functions based on Richards’ models describing the existence or not of Allee effect. We investigate bifurcation structures in generalized Richards’ functions and we look for the conditions in the (β, r) parameter plane for the existence of a weak Allee effect region. We show that the existence of this region is related with the existence of a dovetail structure. When the Allee limit varies, the weak Allee effect region disappears when the dovetail structure also disappears. Consequently, we deduce the transition from the weak Allee effect to no Allee effect to this family of functions. To support our analysis, we present fold and flip bifurcation curves 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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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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RESUMO: O objectivo deste trabalho foi avaliar se a exposição crónica neonatal à hiperóxia mo-derada induz alterações funcionais e estruturais persistentes nas vias aéreas. Desenvolveu-se um modelo animal, no rato, a partir do qual se retiraram implicações para a compreensão das repercussões crónicas da hiperóxia neonatal sobre as vias aéreas de displasia broncopulmonar (DBP), em duas fases distintas: imediatamente após a exposi-ção neonatal a 50%O2 (grupo 50%O2) e após três semanas de recuperação em ar ambiente (grupo 50%O2+Ar).Compararam-se os resultados da resposta do músculo liso de traqueia (MLT) à esti-mulação in vitro com metacolina e salbutamol e avaliaram-se as alterações quantitativas da área de MLT, bem como as alterações qualitativas da estrutura da traqueia. Demonstrou-se que a exposição a 50% de oxigénio não tinha repercussões imediatas sobre a resposta in vitro do MLT à estimulação colinérgica, mas que induzia um aumento do relaxamento em resposta ao salbutamol. A contractilidade do MLT em resposta à estimula-ção com metacolina no grupo 50%O2+Ar foi significativamente superior à do grupo de con-trolo da mesma idade e também superior à observada no grupo 50%O2, enquanto que a resposta ao salbutamol se voltou a aproximar dos valores de controlo após a recuperação em normóxia. Não se observaram diferenças estatisticamente significativas na área de MLT entre os grupos experimental e de controlo, o que se deve provavelmente ao número reduzido de amostras avaliadas e à variabilidade deste parâmetro no grupo de controlo; contudo, verifi-cou-se um aumento médio de 15% imediatamente após a exposição à hiperóxia que persis-tiu após o período de recuperação.As alterações qualitativas sobre a arquitectura da traqueia, avaliadas por microscopia óptica, revelaram no grupo 50%O2 aumentos da espessura da matriz extracelular e da den-sidade de mastócitos desgranulados na submucosa e adventícia vizinhas do MLT, sem outras alterações relativamente ao grupo de controlo com 15 dias. As alterações da matriz extrace-lular foram reversíveis após a recuperação em ar ambiente. A densidade de mastócitos per-maneceu superior à do grupo de controlo de 36 dias de idade, apresentando-se em maior contiguidade com o MLT relativamente ao grupo 50%O2. Em síntese, demonstrou-se que a hiperóxia neonatal crónica em níveis moderados in-duz alterações da resposta contráctil do MLT e da estrutura da traqueia que podem ter ex-pressão funcional após a exposição ter cessado. Assim, o contributo original do presente trabalho foi o desenvolvimento de um modelo animal que permite avaliar os mecanismos pelos quais a hiperóxia é capaz de induzir, isoladamente, alterações crónicas da contracti-lidade, do relaxamento do ML e da estrutura das vias aéreas que podem ser responsáveis pela HRB persistente em doentes sujeitos a oxigenioterapia neonatal.-------------ABSTRACT: The aim of this work was to evaluate whether chronic neonatal exposure to hyperoxia in-duces persistent structural and functional airway changes. An animal model was developed, using neonatal rats, in order to understand the chronic effects of neonatal hyperoxia on the airways, in bronchopulmonary dysplasia, in two distinct phases: immediately after neonatal exposure to 50%O2 (50%O2 group) and after three weeks of recovery at ambient air (50%O2+Ar group).The results from the tracheal smooth muscle (TSM) response to in vitro stimulation with metacholine and salbutamol were compared and quantitative changes in TSM area, as well as qualitative changes in tracheal structure were evaluated. It was demonstrated that while exposure to 50% oxygen had no immediate effects on in vitro TSM response to cholinergic stimulation, it induced an increase in relaxation as a result of salbutamol administration. TSM contractility as a result of methacholine administration in the 50%O2 + Ar group was significantly higher than that of the same-age control group, and also higher than the one observed in the 50%O2 group, whereas the response to salbutamol admini-stration was once again closer to the control values after recovery in normoxia. There were no statistically significant differences in the TSM area between the experi-mental and control groups, which is most likely due to the reduced number of samples evalu-ated and to the variability of this parameter in the control group. However, there was an aver-age increase of 15% immediately after exposure to hyperoxia, which persisted after the recov-ery period. Qualitative changes in tracheal architecture, evaluated by optic microscopy, revealed that the 50%O2 group suffered an increase in the thickness of the extracellular matrix and degranu-lated mast cell density in the submucosa and adventitia adjacent to the TSM, without further changes when compared with the control group at 15 days of age. The changes in extracellular matrix were reversible after recovery in ambient air. Mast cell density remained higher than that of the control group at 36 days of age, and more contiguous to TSM than the 50%O2 group. In conclusion, it has been demonstrated that moderate levels of chronic neonatal hyperoxia in-duce changes in TSM contractile response and tracheal structure, which may be functionally ex-pressed after discontinuation of exposure. Therefore, the original contribution of the present work was the development of an animal model which allows the evaluation of the mechanisms through which hyperoxia alone can induce chronic changes in contractility and relaxation of SM and also in airway structure that can be responsible for the persistent airway hyperrespon-siveness found in patients who were submited to neonatal oxygen therapy.

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Dissertação apresentada para a obtenção do Grau de Mestre em Genética Molecular e Biomedicina, pela Universidade Nova de Lisboa, Faculdade de Ciências e Tecnologia

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Dissertação apresentada na Faculdade de Ciências e Tecnologia da Universidade Nova de Lisboa para obtenção do grau de Mestre em Engenharia Electrotécnica e de Computadores

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Dissertation presented to obtain the PhD degree in Biology/Molecular Biology by Universidade Nova de Lisboa, Instituto de Tecnologia Química e Biológica

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European Journal of Operational Research, nº 73 (1994)

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Dissertation to obtain the degree of Doctor in Electrical and Computer Engineering, specialization of Collaborative Networks

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Dissertação para obtenção do Grau de Mestre em Matemática e Aplicações Especialização em Actuariado, Estatística e Investigação Operacional