969 resultados para bifurcation phenomenon


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In this paper we study a model for HIV and TB coinfection. We consider the integer order and the fractional order versions of the model. Let α∈[0.78,1.0] be the order of the fractional derivative, then the integer order model is obtained for α=1.0. The model includes vertical transmission for HIV and treatment for both diseases. We compute the reproduction number of the integer order model and HIV and TB submodels, and the stability of the disease free equilibrium. We sketch the bifurcation diagrams of the integer order model, for variation of the average number of sexual partners per person and per unit time, and the tuberculosis transmission rate. We analyze numerical results of the fractional order model for different values of α, including α=1. The results show distinct types of transients, for variation of α. Moreover, we speculate, from observation of the numerical results, that the order of the fractional derivative may behave as a bifurcation parameter for the model. We conclude that the dynamics of the integer and the fractional order versions of the model are very rich and that together these versions may provide a better understanding of the dynamics of HIV and TB coinfection.

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We study exotic patterns appearing in a network of coupled Chen oscillators. Namely, we consider a network of two rings coupled through a “buffer” cell, with Z3×Z5 symmetry group. Numerical simulations of the network reveal steady states, rotating waves in one ring and quasiperiodic behavior in the other, and chaotic states in the two rings, to name a few. The different patterns seem to arise through a sequence of Hopf bifurcations, period-doubling, and halving-period bifurcations. The network architecture seems to explain certain observed features, such as equilibria and the rotating waves, whereas the properties of the chaotic oscillator may explain others, such as the quasiperiodic and chaotic states. We use XPPAUT and MATLAB to compute numerically the relevant states.

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Relatório de estágio apresentado à Escola Superior de Comunicação Social como parte dos requisitos para obtenção de grau de mestre em Publicidade e Marketing.

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Para além das variáveis clínicas e sociodemográficas existem concerteza importantes componentes individuais que desempenham um contributo importante no nível de insight apresentado por cada pessoa doente, por exemplo, o nível de inteligência, personalidade, cultura, experiências passadas, memória, etc. A natureza clínica, emocional e/ou intelectual do termo ajuda-nos a compreender a complexidade da dificuldade que existe na sua tradução e, inclusive, na sua compreensão. Daí que as definições atribuídas ao conceito sejam muito distintas e variem consoante a formação teórica do autor/investigador. Pretende-se, a partir dessa identificação/compreensão, promover a qualidade de vida destas pessoas através do desenvolvimento de novas aprendizagens que possibilitem uma cooperação activa. É igualmente fundamental ir ao encontro das capacidade intactas de maneira a possibilitar a aquisição de novos(s) comportamento(s) que tenham um impacte positivo nas queixas, sinais, sintomas, incapacidade e disfuncionalidade apresentados pelo/a utente. Uma vez que a própria conceptualização do termo traduzirá aquilo que se pretende avaliar,será efectuada uma reflexão detalhada acerca dos instrumentos e definições que têm sido mais utilizadas para explorar o insight nas psicoses.Procurei, no meu trabalho de investigação, realçar e promover a importância que cada sujeito, alvo de intervenção, desempenha ao longo do seu processo de recuperação e na prevenção de recaídas. No seguimento dos objectivos acima descritos, para além da revisão teórica efectuada ao fenómeno em termos de conceptualização e estudos desenvolvidos na área de investigação, foi,neste estudo, realizada a contribuição para a validação do instrumento “Assessment of Insight in Psychosis: a re-standartization of a New Scale” de Marková & Berrios (2003).O fenómeno de insight escolhido pela Insight Scale, relata menos as mudanças vividas em relação à doença mental, e mais a actual consciência e articulação de tais mudanças. Tendo como base uma abordagem psicopedagógica, o fenómeno do insight aqui explorado assentou numa perspectiva reabilitativa, actual e multidimensional, que fosse para além das dimensões clínicas tradicionais. Neste sentido é apresentada uma escala original, intitulada “Escala de Avaliação do Insight e Identificação das Necessidades em Pessoas com Psicose”, bem como um modelo de intervenção psicopedagógico breve, assente nos pressupostos descritos ao longo do trabalho.-----------------------------------------ABSTRACT: The importance of insight in people with mental illnesses was first studied in psychiatry, in the first decades of the 20th century, by people as important as Lewis (1934) and Jaspers (1959). However, this field of investigation was left unexplored for many years. Only in the last decade has this phenomenon become the object of numerous scientific investigations, having been given special attention by its investigators. For this reason a significant number of instruments for evalauting insight in psychotic disorders were developed. Since then many papers have been published, which has allowed for a more in depth knowledge on the subject. Therefore, in recent years, the concept of insight has been developed in an attempt to clarify its compexity. A once dichotomic phenomenon, described in terms of presence or absence, became considered multidimensional, which made the identification of different levels of insight and different dimensions possible. Current concepts categorize insight into five dimensions: the awareness of the patient in relation to his/her mental illness, the awareness of the patient in relation to the social consequences of his/her illness, the awareness of the need for treatment, the awareness of the symptoms and the explanation of those symptoms in relation to the illness. The lack of insight in psychiatry, in general terms, and as this phenomenon has been described, the lack of awareness of having a mental illness, represents one of the most common symptoms of schizophrenia and affects a big part of the population that suffer from this illness. It is estimated that bewteen 50 and 80 per cent of patients with schizophrenia do not believe that they are ill, which, consequently has a big impact in the process of adherence to treatment. It is still not possible, however, to identify all the factors that determine the lack of insight in schizophrenics. There are psychological, social and cultural influences that almost certainly play their role in the lack of insight registered in this pathology.Since the impact of scizophrenia is felt in many aspects of the individual’s life, its effective treatment should be directed at various levels, including the improvement of insight. One of the objectives of this study is to explore the relationship between the level of insight in psychosis and the clinical and sociodemographic variables, the psychopathology and its global functioning. As well as the clinical and sociodemographic variables, there are of course important individual components that contribute to the level of insight seen in each patient, for example, their level of inteligence, personality, culture, past experiences, memory, etc. The clinical, emotional and/or intelectual nature of the term helps us understand the difficulty that lies in its interpretation as well as in its comprehension. Therefore, the definitions attributed to the term are very different and vary according to the theoretical training of the investigator. It is intended, from this identification/understanding, to promote the quality of life of these people through the development of new findings that might enable an active cooperation. It is equally fundamental to observe their unimpaired capacities in order to enable the acquisition of new behaviour(s) that have a positive impact on the complaints, signs, symptoms, incapacity and disfunctioning seen in the patient.As the actual comprehension of the term explains what we intend to evaluate, a detailed reflection is made on the instruments and definitions that have been used the most to explore insight in psychosis.In this investigation I tried to underline and promote the importance that each subject, undergoing medical intervention, plays during his/her process of recovery and prevention of relapses. Considering the above mentioned objectives, as well as a theoretical review of the phenomenon in terms of conceptualization and investigative studies developed, this study contributed to the validation of the instrument.The insight phenomenon chosen by the “Insight Scale”, records less changes experienced in relation to the mental illness and more actual awareness and articulation of these changes. Based on a psychopedagogical approach, the insight phenomenon explored here settled on a rehabilitation, current and multidimensional perspective that would go beyond the traditional clinical dimensions. For this reason an original scale entitled “Insight Evaluation Scale and Need Identification in Psychosis Patients” is presented, as well as a psychopedagogical intervention model soon to be used with admitted patients based on the presuppositions described in this study.

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RESUMO O envelhecimento populacional, nos países ditos “desenvolvidos”, tem sido largamente discutido a nível internacional pelas suas implicações económicas, sociais e de saúde. Uma das prioridades de intervenção face a este fenómeno é promover o aumento de pessoas idosas autónomas inseridas no seu contexto social e familiar habitual. No entanto, nem sempre esse objectivo é atingido e a muitas pessoas idosas restam os lares, ou preferem-nos, como opção de alojamento e de satisfação das necessidades humanas fundamentais. O principal objectivo deste estudo foi procurar saber se a institucionalização no lar teve impacte na satisfação habitual das necessidades humanas fundamentais das pessoas idosas. Como objectivos secundários pretendeu-se complementar esta informação com alguns aspectos relacionados com o processo de institucionalização e perceber se existem diferenças significativas no que respeita ao sexo, grupo etário ou tempo de internamento. Foram incluídas no estudo 125 pessoas com 65 ou mais anos, residentes em 15 lares com alvará de iniciativa privada, pertencentes à Região de Lisboa e Vale do Tejo, no distrito de Setúbal. Os dados foram obtidos através de um questionário construído para o efeito pela autora. As principais conclusões do estudo apontaram para um impacte negativo da institucionalização na satisfação habitual de algumas necessidades que se enquadram no plano social, nomeadamente ocupar-se para se sentir útil, recrear-se e comunicar com os semelhantes. Nas diferentes necessidades, de uma forma geral, a institucionalização teve um impacte negativo no que respeita às dimensões relacionadas com privacidade e preferência individual. Por outro lado, a institucionalização parece ter tido um impacte positivo nas dimensões relacionadas com a segurança e a acessibilidade. Não foram encontradas diferenças significativas no que respeita ao número médio de respostas favoráveis ao lar ou à casa entre os grupos etários ou quanto ao tempo de internamento. Apesar disso, encontraram-se diferenças no que respeita ao grau de satisfação em residir num lar, sendo que o nível de satisfação com a institucionalização foi maior nas pessoas que residiam no lar há mais de um ano, comparativamente às que residiam no lar há um ano ou menos.-------------------------------------------- ABSTRACT: The ageing of the population of the more developed countries has been largely discussed internationally because of its economic, social and health implications. One of the priorities of intervention facing the ageing phenomenon is to promote the increase of autonomous elderly, within their usual social and familiar environment. Not always this goal is achieved and many elderly have nursing homes as option, or voluntary choose them, for lodgement and fundamental human needs satisfaction. The main goal of this study was to search whether the nursing home institutionalization had impact in the satisfaction of fundamental human needs. As secondary goals it was established to complement this information with some aspects of the institutionalization process, as well as to analyse if there were significant differences as far as sex, age groups or institutionalization time. The study sample included 125 individuals aged 65 years or more, living in 15 private nursing homes with approved legal certification, belonging to the Lisboa and Tagus Valley Region, in the district of Setúbal. Data were collected through a questionnaire designed for this study by the author. The main conclusions of this study pointed at a negative impact of institutionalization on the usual satisfaction of some human needs included at the social field, namely occupation, recreation and communication. At another level of needs, in a general way, institutionalization had negative impact concerning privacy and individual preferences dimensions. On the other hand, institutionalization appeared to have a positive impact in safety and accessibility dimensions. It was not found significant differences between age groups or institutionalization time as far as the average positive answers in favour to nursing home or house. Notwithstanding, there were differences relating to satisfaction in living at the nursing home being the satisfaction higher in residents who lived at the nursing home for more than a year, comparatively to those that lived at the nursing home for a year or less.

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Una de las potencialidades del arte es devenir una herramienta para enfocar determinados conflictos desde nuevos ángulos y articular preguntas que impacten en la comunidad. Aquí el arte se funde con la filosofía, la sociología, la antropología, con el activismo, y con la propia vida. A partir de tales parámetros, se esbozarán diversas propuestas artísticas que ilustran cómo distintos creadores abordan –desde distintos ángulos– el fenómeno de la migración Dentro de la amplia miríada de perspectivas desde las que se puede tratar la migración es interesante resaltar el trabajo de varios artistas que se transforman en altavoces de las experiencias de otras personas, tal y como ejemplifican los proyectos de Pep Dardanyà, Marisa González, He Chengyue y Josep María Martín. Desde un ángulo radicalmente distinto, Santiago Sierra y el colectivo Yes lab reproducen y llevan al límite las mismas dinámicas de explotación que critican, y para finalizar, bajo el prisma de la experiencia vivida, la artista Fiona Tan explora su propio proceso migratorio e investiga la construcción de la identidad.

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We introduce a simple model for a biaxial nematic liquid crystal. This consists of hard spheroids that can switch shape between prolate (rodlike) and oblate (platelike) subject to an energy penalty Δε. The spheroids are approximated as hard Gaussian overlap particles and are treated at the level of Onsager's second-virial description. We use both bifurcation analysis and a numerical minimization of the free energy to show that, for additive particle shapes, (i) there is no stable biaxial phase even for Δε=0 (although there is a metastable biaxial phase in the same density range as the stable uniaxial phase) and (ii) the isotropic-to-nematic transition is into either one of two degenerate uniaxial phases, rod rich or plate rich. We confirm that even a small amount of shape nonadditivity may stabilize the biaxial nematic phase.

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In this article we provide homotopy solutions of a cancer nonlinear model describing the dynamics of tumor cells in interaction with healthy and effector immune cells. We apply a semi-analytic technique for solving strongly nonlinear systems – the Step Homotopy Analysis Method (SHAM). This algorithm, based on a modification of the standard homotopy analysis method (HAM), allows to obtain a one-parameter family of explicit series solutions. By using the homotopy solutions, we first investigate the dynamical effect of the activation of the effector immune cells in the deterministic dynamics, showing that an increased activation makes the system to enter into chaotic dynamics via a period-doubling bifurcation scenario. Then, by adding demographic stochasticity into the homotopy solutions, we show, as a difference from the deterministic dynamics, that an increased activation of the immune cells facilitates cancer clearance involving tumor cells extinction and healthy cells persistence. Our results highlight the importance of therapies activating the effector immune cells at early stages of cancer progression.

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In this work, we present the explicit series solution of a specific mathematical model from the literature, the Deng bursting model, that mimics the glucose-induced electrical activity of pancreatic beta-cells (Deng, 1993). To serve to this purpose, we use a technique developed to find analytic approximate solutions for strongly nonlinear problems. This analytical algorithm involves an auxiliary parameter which provides us with an efficient way to ensure the rapid and accurate convergence to the exact solution of the bursting model. By using the homotopy solution, we investigate the dynamical effect of a biologically meaningful bifurcation parameter rho, which increases with the glucose concentration. Our analytical results are found to be in excellent agreement with the numerical ones. This work provides an illustration of how our understanding of biophysically motivated models can be directly enhanced by the application of a newly analytic method.

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Coevolution between two antagonistic species has been widely studied theoretically for both ecologically- and genetically-driven Red Queen dynamics. A typical outcome of these systems is an oscillatory behavior causing an endless series of one species adaptation and others counter-adaptation. More recently, a mathematical model combining a three-species food chain system with an adaptive dynamics approach revealed genetically driven chaotic Red Queen coevolution. In the present article, we analyze this mathematical model mainly focusing on the impact of species rates of evolution (mutation rates) in the dynamics. Firstly, we analytically proof the boundedness of the trajectories of the chaotic attractor. The complexity of the coupling between the dynamical variables is quantified using observability indices. By using symbolic dynamics theory, we quantify the complexity of genetically driven Red Queen chaos computing the topological entropy of existing one-dimensional iterated maps using Markov partitions. Co-dimensional two bifurcation diagrams are also built from the period ordering of the orbits of the maps. Then, we study the predictability of the Red Queen chaos, found in narrow regions of mutation rates. To extend the previous analyses, we also computed the likeliness of finding chaos in a given region of the parameter space varying other model parameters simultaneously. Such analyses allowed us to compute a mean predictability measure for the system in the explored region of the parameter space. We found that genetically driven Red Queen chaos, although being restricted to small regions of the analyzed parameter space, might be highly unpredictable.

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In this article we analytically solve the Hindmarsh-Rose model (Proc R Soc Lond B221:87-102, 1984) by means of a technique developed for strongly nonlinear problems-the step homotopy analysis method. This analytical algorithm, based on a modification of the standard homotopy analysis method, allows us to obtain a one-parameter family of explicit series solutions for the studied neuronal model. The Hindmarsh-Rose system represents a paradigmatic example of models developed to qualitatively reproduce the electrical activity of cell membranes. By using the homotopy solutions, we investigate the dynamical effect of two chosen biologically meaningful bifurcation parameters: the injected current I and the parameter r, representing the ratio of time scales between spiking (fast dynamics) and resting (slow dynamics). The auxiliary parameter involved in the analytical method provides us with an elegant way to ensure convergent series solutions of the neuronal model. Our analytical results are found to be in excellent agreement with the numerical simulations.

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Dissertação de Mestrado apresentada ao Instituto de Contabilidade e Administração do Porto para a obtenção do grau de Mestre em Auditoria, sob orientação de Mestre Gabriela Maria Azevedo Pinheiro

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Dissertação de Mestrado apresentado ao Instituto de Contabilidade e Administração do Porto para a obtenção do grau de Mestre em Contabilidade e Finanças, sob orientação de Doutora Cláudia Pereira

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1st European IAHR Congress,6-4 May, Edinburg, Scotland

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Cosmic microwave background (CMB) radiation is the imprint from an early stage of the Universe and investigation of its properties is crucial for understanding the fundamental laws governing the structure and evolution of the Universe. Measurements of the CMB anisotropies are decisive to cosmology, since any cosmological model must explain it. The brightness, strongest at the microwave frequencies, is almost uniform in all directions, but tiny variations reveal a spatial pattern of small anisotropies. Active research is being developed seeking better interpretations of the phenomenon. This paper analyses the recent data in the perspective of fractional calculus. By taking advantage of the inherent memory of fractional operators some hidden properties are captured and described.