Phase behavior of shape-changing spheroids

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.

Activation of effector immune cells promotes tumor stochastic extinction: A homotopy analysis approach

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.

Explicit series solution for a glucose-induced electrical activity model of pancreatic beta-cells

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.

How Complex, Probable, and Predictable is Genetically Driven Red Queen Chaos?

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.

On the analytical solutions of the Hindmarsh-Rose neuronal model

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.

From weak Allee effect to no Allee effect in Richards’ growth models

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.

Explosion birth and extinction: Double big bang bifurcations and Allee effect in Tsoularis-Wallace's growth models

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.

Nonautonomous Graphs and Topological Entropy of Nonautonomous Lorenz Systems

In this work, we associate a p-periodic nonautonomous graph to each p-periodic nonautonomous Lorenz system with finite critical orbits. We develop Perron-Frobenius theory for nonautonomous graphs and use it to calculate their entropy. Finally, we prove that the topological entropy of a p-periodic nonautonomous Lorenz system is equal to the entropy of its associated nonautonomous graph.

A gestão de stocks do serviço de assistência técnica na área da eletromedicina

Dissertação apresentada ao Instituto Superior de Administração e Contabilidade do Porto para obtenção do Grau de Mestre em Logística Orientada por: Professora Doutora Maria Clara Rodrigues Bento Vaz Fernandes

Controlo e optimização da perfuração em desmonte de maciços rochosos fracturados: avaliação preliminar

O presente trabalho tem por objectivo contribuir para aprofundar o conhecimento da temática que envolve a qualidade de execução da perfuração em maciços rochosos fracturados. A necessidade de conhecimento prévio sobre os resultados que podem ocorrer no desmonte de maciços rochosos após a realização da perfuração, leva a uma procura de indicadores que possibilitem obter mais conhecimento nessa matéria. No encadeamento do processo de análise de projecto, está o conhecimento adquirido, a caracterização do maciço rochoso, a implementação de correcções na componente da perfuração ajustadas ao maciço estudado e uma potencial previsão de granulometria final por emergência de um índice de qualidade, “Índice de Dispersão Volumétrica” que correlacione os elementos constituintes da geometria do diagrama de fogo e da envolvente intrínseca da matriz rochosa e aponte uma expectável granulometria final. Para atingir um nível de qualidade na operação global do processo de desmonte, a perfuração que está no topo da pirâmide assume papel de guia para as seguintes etapas, pelo que a qualidade dos equipamentos e acessórios e a sua correcta operação são fundamentais para obter o rigor da perfuração projectada, com vista a atingir uma determinada granulometria.

Real-Time Tariffs for Electric Vehicles in Wind Power based Power Systems

The use of Electric Vehicles (EVs) will change significantly the planning and management of power systems in a near future. This paper proposes a real-time tariff strategy for the charge process of the EVs. The main objective is to evaluate the influence of real-time tariffs in the EVs owners’ behaviour and also the impact in load diagram. The paper proposes the energy price variation according to the relation between wind generation and power consumption. The proposed strategy was tested in two different days in the Danish power system. January 31st and August 13th 2013 were selected because of the high quantities of wind generation. The main goal is to evaluate the changes in the EVs charging diagram with the energy price preventing wind curtailment.

Análise de Capacidade Processo Inspeção Visual

Este trabalho foi realizado no âmbito do Mestrado em Engenharia Mecânica, especialização em Gestão Industrial, do Instituto Superior de Engenharia do Porto. O estudo foi desenvolvido na Continental Mabor – Indústria de Pneus S.A., sendo analisado o processo de Inspeção Visual dos pneus. Face à atual conjuntura de mercado, as empresas devem estar munidas de dados detalhados e precisos relativos aos seus processos produtivos. A Capacidade instalada apresenta-secomo um parâmetro determinante na medida em que condiciona diretamente a resposta a solicitações de clientes. Esta é fortemente influenciada pelo Layout fabril, pelo que a otimização do mesmo é fundamental numa perspetiva de ganho de Capacidade produtiva. O relatório iniciou-se com a determinação do Tempo Previsto da operação segundo o referencial REFA. Seguidamente quantificaram-se as atuais perturbações através de auditorias ao processo. Deste modo obteve-se uma Capacidade instalada de 59380 pneus/dia. A análise das perturbações desenvolveu-se a partir de um diagrama causa-efeito, no qual foram identificadas diversas potenciais causas, classificadas posteriormente por uma equipa experiente e conhecedora do processo. Assim, conhecidas as perturbações de maior impacto, foi apresentada uma solução de Layout que visou a sua minimização. O ganho estimado, em termos de Capacidade, após a implementação da solução proposta é de 3000 pneus/dia. Este ganho de 5% é significativo na medida em que é obtido sem a necessidade de aquisição de novos equipamentos nem de área fabril adicional. É expectável que esta implementação proporcione ainda melhorias no processo produtivo subsequente - Uniformidade, especificamente na alimentação do mesmo. A quantificação desta melhoria, na sequência deste trabalho, apresenta-se como uma oportunidade de estudo futuro.

Ampliação e reabilitação de edifícios

O presente relatório encontra-se no âmbito do estágio curricular referente ao Mestrado de Engenharia Civil do Instituto Superior de Engenharia do Porto. Este decorreu entre janeiro e julho de 2013 tendo como objetivo principal a realização de um projeto de Reabilitação e Ampliação de uma Escola Primária localizada na freguesia Seixo de Manhoses, no concelho Vila Flor, destinada a um Centro integrado de valorização de recursos. A preferência pela realização de um estágio curricular deveu-se ao facto de ser possível a aplicação direta dos conhecimentos que foram sendo adquiridos durante o curso e pela possibilidade de, ao longo do estágio, serem apreendidos mais conhecimentos que pudessem vir a ser úteis aquando da entrada do estagiário no mercado de trabalho. O estágio decorreu na Associação de Municípios da Terra Quente Transmontana, em Mirandela, e durante o período do mesmo, o estagiário foi participando de forma indirecta em outros projetos que vinham a ser desenvolvidos por esta entidade. Antes do inicio do referido projeto, foram efetuadas visitas ao local de implantação do edifício, de modo a serem esclarecidos alguns aspetos importantes na realização do projecto por parte do estagiário e com vista a tentar encontrar a solução que mais se adequava ao caso em estudo. Durante o estágio, com o intuito de ver os seus objetivos serem cumpridos, o estagiário fosse inserindo na equipa de projeto e nas várias atividades que foram sendo desenvolvidas (acompanhamento de outros projetos, visita a obras inserido na equipa de fiscalização, frequência de ações de formação).

An information model for lean, agile, resilient and green supply chain management

Dissertação para a obtenção de Grau de Mestre em Engenharia e Gestão Industrial

Power Law Behavior and Self-similarity in Modern Industrial Accidents

Advances in technology have produced more and more intricate industrial systems, such as nuclear power plants, chemical centers and petroleum platforms. Such complex plants exhibit multiple interactions among smaller units and human operators, rising potentially disastrous failure, which can propagate across subsystem boundaries. This paper analyzes industrial accident data-series in the perspective of statistical physics and dynamical systems. Global data is collected from the Emergency Events Database (EM-DAT) during the time period from year 1903 up to 2012. The statistical distributions of the number of fatalities caused by industrial accidents reveal Power Law (PL) behavior. We analyze the evolution of the PL parameters over time and observe a remarkable increment in the PL exponent during the last years. PL behavior allows prediction by extrapolation over a wide range of scales. In a complementary line of thought, we compare the data using appropriate indices and use different visualization techniques to correlate and to extract relationships among industrial accident events. This study contributes to better understand the complexity of modern industrial accidents and their ruling principles.