Symbolic dynamics and renormalization of non-autonomous k periodic dynamical systems

The purpose of this paper was to introduce the symbolic formalism based on kneading theory, which allows us to study the renormalization of non-autonomous periodic dynamical systems.

An Extension of Gompertzian Growth Dynamics Weibull and Frechet Models

In this work a new probabilistic and dynamical approach to an extension of the Gompertz law is proposed. A generalized family of probability density functions, designated by Beta* (p, q), which is proportional to the right hand side of the Tsoularis-Wallace model, is studied. In particular, for p = 2, the investigation is extended to the extreme value models of Weibull and Frechet type. These models, described by differential equations, are proportional to the hyper-Gompertz growth model. It is proved that the Beta* (2, q) densities are a power of betas mixture, and that its dynamics are determined by a non-linear coupling of probabilities. The dynamical analysis is performed using techniques of symbolic dynamics and the system complexity is measured using topological entropy. Generally, the natural history of a malignant tumour is reflected through bifurcation diagrams, in which are identified regions of regression, stability, bifurcation, chaos and terminus.

Topological Complexity and Predictability in the Dynamics of a Tumor Growth Model with Shilnikov's Chaos

Dynamical systems modeling tumor growth have been investigated to determine the dynamics between tumor and healthy cells. Recent theoretical investigations indicate that these interactions may lead to different dynamical outcomes, in particular to homoclinic chaos. In the present study, we analyze both topological and dynamical properties of a recently characterized chaotic attractor governing the dynamics of tumor cells interacting with healthy tissue cells and effector cells of the immune system. By using the theory of symbolic dynamics, we first characterize the topological entropy and the parameter space ordering of kneading sequences from one-dimensional iterated maps identified in the dynamics, focusing on the effects of inactivation interactions between both effector and tumor cells. The previous analyses are complemented with the computation of the spectrum of Lyapunov exponents, the fractal dimension and the predictability of the chaotic attractors. Our results show that the inactivation rate of effector cells by the tumor cells has an important effect on the dynamics of the system. The increase of effector cells inactivation involves an inverse Feigenbaum (i.e. period-halving bifurcation) scenario, which results in the stabilization of the dynamics and in an increase of dynamics predictability. Our analyses also reveal that, at low inactivation rates of effector cells, tumor cells undergo strong, chaotic fluctuations, with the dynamics being highly unpredictable. Our findings are discussed in the context of tumor cells potential viability.

Building the «true evolutionism»: Darwin's impact on Henri Bergson's thought

The paper focuses on the importance of Darwin’s work for the shaping of Henri Bergson’s philosophy, bearing on mind that the two authors first intercepted symbolically in 1859, when On the Origin of Species was published and Bergson was born. Bergson studied the biological sciences of his time, whose results were integrated in a metaphysical thought. He belonged to spiritualistic positivism, a philosophy that goes from the positive data of sciences and finds the ultimate explanation of reality in a spiritual principle. He was interested in the positive evolution of the natural world and in the works of naturalists such as Lamarck, De Vries or Eimer. Darwin was among these authors, being responsible for a vision of evolution that went from the scientific level to other domains. Bergson defends the “insufficiency of pure Darwinism” by pointing out the necessity to compensate scientific evolution with an internal metaphysical reading of the real, which he considered to be “true evolutionism”. This criticism is the most visible aspect of the relations between both works. However, an attentive look verifies that Darwin’s influence overcomes the divergence of positions concerning the extent of “evolution”. The French philosopher knew not only the 1859’s bestseller, but also studies by Darwin about ethology, entomology and botany, which contributed to the fact that the naturalist’s impact gained fundamental importance in Bergson’s philosophical perspective.

Influência da cirurgia abdominal na função pulmonar e capacidade de tosse

Introdução: A cirurgia abdominal acarreta grande risco de complicações pulmonares pós-operatórias. As alterações pós-cirúrgicas abdominais, reflectem-se na dinâmica ventilatória, de modo particular nos volumes e capacidades pulmonares, e na capacidade de tosse. Objectivos: Compreender qual a variação dos volumes e capacidades pulmonares e da capacidade de tosse antes e depois da cirurgia abdominal (estômago e cólon), e qual a correlação dessa variação com o nível de dor percepcionada. Desenho do estudo: Unicêntrico, prospectivo e observacional. Amostra: 10 indivíduos, propostos para cirurgia abdominal – estômago e cólon. Metodologia: Dois momentos de avaliação: um nas 24h préoperatórias em que se mediu a capacidade vital forçada (CVF) e o volume expirado máximo no primeiro segundo (VEMS1) com espirometria, e do pico de fluxo de tosse (PCF); e um segundo momento nas 24h pós-operatórias onde se repetiram as medições do primeiro momento com o acréscimo da avaliação da dor. Resultados: No pós-operatorio imediato há uma diminuição significativa da CVF de 44,30%±17,24 (p=0,005), do VEMS1 de 35,50%±28,47 (p=0,009) e do PCF de 38,97%±38,66 (p=0,012). Não se verificou nenhuma relação entre a dor percepcionada na realização das manobras de espirometria e tosse com diminuição a da CVF e do VEMS1 e do PCF respectivamente. O sexo apresentou uma relação significativa com a variação da CRF e do VEMS1 (p=0,046 e p=0,008 respectivamente). A frequência respiratória apresentou um aumento significativo no pós-operatório de 10±11,22 cpm (p=0,019). A saturação periférica de oxigénio apresentou uma diminuição significativa no pós-operatório de 3,52±2,47 (p=0,011) Conclusão: No estudo efectuado fica demonstrado o impacto negativo da cirurgia abdominal na dinâmica respiratória. A diminuição dos valores da CVF, do VEMS1 e do PCF podem contribuir de forma significativa para o aumento do risco de complicações respiratória pós-operatórias. No entanto seria importante a realização deste estudo com uma amostra maior.

Strong and weak Allee effects and chaotic dynamics in Richards' growths

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.

Reproductive dynamics of Sterna hirundinacea Lesson, 1831 in Ilha dos Cardos, Santa Catarina, Brazil

In this work, we intend to describe the reproductive dynamics of Sterna hirundinacea in an island fromSouth Brazil.We studied the reproductive biology of this species in its natural environment and provide data on their growth, survival, and reproductive success in Ilha dosCardos, SantaCatarina, South Brazil. Samplingswere carried out daily on the island throughout the reproductive seasons of 2003, 2005, and 2006 and the different stages of development of the chicks were characterized according to age, length of the beak, and plumage characteristics.We provide a basic equation Lm = 167.91 (1 – e −0.062t−(−0.23)) to determine the approximate age of individuals using their body mass. The main cause of chick mortality on the island was natural (63.17% in 2003, 81.41% in 2005, and 79.96% in 2006), whereas predation contributed to mortality in a proportion of 38.83% in 2003, 18.59% in 2005, and 20.04% in 2006.The absence in the area of the chicks’ main predator, Kelp gull (Larus dominicanus), the large number of chicks that reached the final stages of development, and their reproductive success demonstrate that Ilha dos Cardos is an important breeding site for the species in southern Brazil.

Impact of socioeconomic status on Brazilian elderly health

OBJECTIVE: To investigate the impact of socioeconomic status on elderly health. METHODS: The study was based on cross-sectional data from Survey on Health, Well-Being, and Aging in Latin America and the Caribbean. The sample comprised 2,143 non-institutionalized elderly aged 60 years and older living in the urban area of São Paulo, southeastern Brazil. Linear regression models estimated the effect of socioeconomic status indicators (years of schooling completed, occupation and purchasing power) on each one of the following health indicators: depression, self-rated health, morbidity and memory capacity. A 5% significance level was set. RESULTS: There was a significant effect of years of education and purchasing power on self-rated health and memory capacity when controlled for the variables number of diseases during childhood, bed rest for at least a month due to health problems during childhood, self-rated health during childhood, living arrangements, sex, age, marital status, category of health insurance, intake of medicines. Only purchasing power had an effect on depression. Despite the bivariate association between socioeconomic status indicators and number of diseases (morbidity), this effect was no longer seen after including the controls in the model. CONCLUSIONS: The study results confirm the association between socioeconomic status indicators and health among Brazilian elderly, but only for some dimensions of socioeconomic status and certain health outcomes.

Contributos do associativismo na (re)construção da identidade profissional dos professores de matemática do 2º ciclo

Dissertação apresentada na Escola Superior de Educação de Lisboa para obtenção do grau de Mestre em Educação Matemática na Educação Pré-escolar e no 1º e 2º ciclos do Ensino Básico

Edible Azorean macroalgae as source of rich nutrients with impact on human health

Copyright © 2014 Elsevier Ltd. All rights reserved.

Saúde e segurança residual : um estudo comportamental dos trabalhadores da recolha de resíduos de Ponta Delgada

Dissertação de Mestrado em Ambiente, Saúde e Segurança.

A participação das crianças em lares de infância e juventude: representações e práticas. um estudo de caso.

Dissertação de 2º Ciclo conducente ao grau de Mestre em Ciências da Educação - especialização em Educação Social e Intervenção Comunitária

Global material analysis on phosphorus flows, supply horizon and impact assessment on phosphorus depletion

Different problems are daily discuss on environmental aspects such acid rain, eutrophication, global warming and an others problems. Rarely do we find some discussions about phosphorus problematic. Through the years the phosphorus as been a real problem and must be more discussed. On this thesis was done a global material flow analysis of phosphorus, based on data from the year 2004, the production of phosphate rock in that year was 18.9 million tones, almost this amount it was used as fertilizer on the soil and the plants only can uptake, on average, 20% of the input of fertilizer to grow up, the remainder is lost for the phosphorus soil. In the phosphorus soil there is equilibrium between the phosphorus available to uptake from the plants and the phosphorus associate with other compounds, this equilibrium depends of the kind of soil and is related with the soil pH. A reserve inventory was done and we have 15,000 million tones as reserve, the amount that is economical available. The reserve base is estimated in 47,000 million tones. The major reserves can be found in Morocco and Western Sahara, United Sates, China and South Africa. The reserve estimated in 2009 was 15,000 million tone of phosphate rock or 1,963 million tone of P. If every year the mined phosphate rock is around 22 Mt/yr (phosphorus production on 2008 USGS 2009), and each year the consumption of phosphorus increases because of the food demand, the reserves of phosphate rock will be finished in about 90 years, or maybe even less. About the value/impact assessment was done a qualitative analysis, if on the future we don’t have more phosphate rock to produce fertilizers, it is expected a drop on the crops yields, each depends of the kind of the soil and the impact on the humans feed and animal production will not be a relevant problem. We can recovery phosphorus from different waste streams such as ploughing crop residues back into the soil, Food processing plants and food retailers, Human and animal excreta, Meat and bone meal, Manure fibre, Sewage sludge and wastewater. Some of these examples are developed in the paper.

Imported and autochthonous cases in the dynamics of dengue epidemics in Brazil

OBJECTIVE: To estimate the basic reproduction number (R0) of dengue fever including both imported and autochthonous cases. METHODS: The study was conducted based on epidemiological data of the 2003 dengue epidemic in Brasília, Brazil. The basic reproduction number is estimated from the epidemic curve, fitting linearly the increase of initial cases. Aiming at simulating an epidemic with both autochthonous and imported cases, a "susceptible-infectious-resistant" compartmental model was designed, in which the imported cases were considered as an external forcing. The ratio between R0 of imported versus autochthonous cases was used as an estimator of real R0. RESULTS: The comparison of both reproduction numbers (only autochthonous versus all cases) showed that considering all cases as autochthonous yielded a R0 above one, although the real R0 was below one. The same results were seen when the method was applied on simulated epidemics with fixed R0. This method was also compared to some previous proposed methods by other authors and showed that the latter underestimated R0 values. CONCLUSIONS: It was shown that the inclusion of both imported and autochthonous cases is crucial for the modeling of the epidemic dynamics, and thus provides critical information for decision makers in charge of prevention and control of this disease.