Numerical and combinatorial applications of generalized Appell polynomials

This thesis studies properties and applications of different generalized Appell polynomials in the framework of Clifford analysis. As an example of 3D-quasi-conformal mappings realized by generalized Appell polynomials, an analogue of the complex Joukowski transformation of order two is introduced. The consideration of a Pascal n-simplex with hypercomplex entries allows stressing the combinatorial relevance of hypercomplex Appell polynomials. The concept of totally regular variables and its relation to generalized Appell polynomials leads to the construction of new bases for the space of homogeneous holomorphic polynomials whose elements are all isomorphic to the integer powers of the complex variable. For this reason, such polynomials are called pseudo-complex powers (PCP). Different variants of them are subject of a detailed investigation. Special attention is paid to the numerical aspects of PCP. An efficient algorithm based on complex arithmetic is proposed for their implementation. In this context a brief survey on numerical methods for inverting Vandermonde matrices is presented and a modified algorithm is proposed which illustrates advantages of a special type of PCP. Finally, combinatorial applications of generalized Appell polynomials are emphasized. The explicit expression of the coefficients of a particular type of Appell polynomials and their relation to a Pascal simplex with hypercomplex entries are derived. The comparison of two types of 3D Appell polynomials leads to the detection of new trigonometric summation formulas and combinatorial identities of Riordan-Sofo type characterized by their expression in terms of central binomial coefficients.

Phase transitions and nonlinear phenomena in neuronal network models

Communication and cooperation between billions of neurons underlie the power of the brain. How do complex functions of the brain arise from its cellular constituents? How do groups of neurons self-organize into patterns of activity? These are crucial questions in neuroscience. In order to answer them, it is necessary to have solid theoretical understanding of how single neurons communicate at the microscopic level, and how cooperative activity emerges. In this thesis we aim to understand how complex collective phenomena can arise in a simple model of neuronal networks. We use a model with balanced excitation and inhibition and complex network architecture, and we develop analytical and numerical methods for describing its neuronal dynamics. We study how interaction between neurons generates various collective phenomena, such as spontaneous appearance of network oscillations and seizures, and early warnings of these transitions in neuronal networks. Within our model, we show that phase transitions separate various dynamical regimes, and we investigate the corresponding bifurcations and critical phenomena. It permits us to suggest a qualitative explanation of the Berger effect, and to investigate phenomena such as avalanches, band-pass filter, and stochastic resonance. The role of modular structure in the detection of weak signals is also discussed. Moreover, we find nonlinear excitations that can describe paroxysmal spikes observed in electroencephalograms from epileptic brains. It allows us to propose a method to predict epileptic seizures. Memory and learning are key functions of the brain. There are evidences that these processes result from dynamical changes in the structure of the brain. At the microscopic level, synaptic connections are plastic and are modified according to the dynamics of neurons. Thus, we generalize our cortical model to take into account synaptic plasticity and we show that the repertoire of dynamical regimes becomes richer. In particular, we find mixed-mode oscillations and a chaotic regime in neuronal network dynamics.

Evaluation of the matabolic response of osteosarcoma cells to conventional and new anticancer drugs by NMR metabolomics

The main scope of this work was to evaluate the metabolic effects of anticancer agents (three conventional and one new) in osteosarcoma (OS) cells and osteoblasts, by measuring alterations in the metabolic profile of cells by nuclear magnetic resonance (NMR) spectroscopy metabolomics. Chapter 1 gives a theoretical framework of this work, beginning with the main metabolic characteristics that globally describe cancer as well as the families and mechanisms of action of drugs used in chemotherapy. The drugs used nowadays to treat OS are also presented, together with the Palladium(II) complex with spermine, Pd2Spm, potentially active against cancer. Then, the global strategy for cell metabolomics is explained and the state of the art of metabolomic studies that analyze the effect of anticancer agents in cells is presented. In Chapter 2, the fundamentals of the analytical techniques used in this work, namely for biological assays, NMR spectroscopy and multivariate and statistical analysis of the results are described. A detailed description of the experimental procedures adopted throughout this work is given in Chapter 3. The biological and analytical reproducibility of the metabolic profile of MG-63 cells by high resolution magic angle spinning (HRMAS) NMR is evaluated in Chapter 4. The metabolic impact of several factors (cellular integrity, spinning rate, temperature, time and acquisition parameters) on the 1H HRMAS NMR spectral profile and quality is analysed, enabling the definition of the best acquisition parameters for further experiments. The metabolic consequences of increasing number of passages in MG-63 cells as well as the duration of storage are also investigated. Chapter 5 describes the metabolic impact of drugs conventionally used in OS chemotherapy, through NMR metabolomics studies of lysed cells and aqueous extracts analysis. The results show that MG-63 cells treated with cisplatin (cDDP) undergo a strong up-regulation of lipid contents, alterations in phospholipid constituents (choline compounds) and biomarkers of DNA degradation, all associated with cell death by apoptosis. Cells exposed to doxorubicin (DOX) or methotrexate (MTX) showed much slighter metabolic changes, without any relevant alteration in lipid contents. However, metabolic changes associated with altered Krebs cycle, oxidative stress and nucleotides metabolism were detected and were tentatively interpreted at the light of the known mechanisms of action of these drugs. The metabolic impact of the exposure of MG-63 cells and osteoblasts to cDDP and the Pd2Spm complex is described in Chapter 6. Results show that, despite the ability of the two agents to bind DNA, the metabolic consequences that arise from exposure to them are distinct, namely in what concerns to variation in lipid contents (absent for Pd2Spm). Apoptosis detection assays showed that, differently from what was seen for MG-63 cells treated with cDDP, the decreased number of living cells upon exposure to Pd2Spm was not due to cell death by apoptosis or necrosis. Moreover, the latter agent induces more marked alterations in osteoblasts than in cancer cells, while the opposite seemed to occur upon cDDP exposure. Nevertheless, the results from MG-63 cells exposure to combination regimens with cDDP- or Pd2Spm-based cocktails, described in Chapter 7, revealed that, in combination, the two agents induce similar metabolic responses, arising from synergy mechanisms between the tested drugs. Finally, the main conclusions of this thesis are summarized in Chapter 8, and future perspectives in the light of this work are presented.

Contributos da educação em Geociências para o desenvolvimento: uma abordagem ao tempo geológico

Perante os desafios do mundo contemporâneo, marcado pela complexidade, pelo ritmo acelerado de mudança e pela incerteza, o desenvolvimento dos alunos como cidadãos cientificamente cultos é um fator crítico. Neste contexto, a educação em Geociências, em geral, e a compreensão do tempo geológico, em particular, podem contribuir para um aprofundamento da cultura científica e da responsabilidade do cidadão promotor do desenvolvimento sustentável, numa matriz Ciência/Tecnologia/Sociedade. Assim, com este estudo, pretende-se alcançar duas grandes finalidades: a) contribuir para o desenvolvimento de um quadro teórico e concetual, no âmbito da educação em geral e das Geociências em particular, visando o desenvolvimento dos alunos como cidadãos cientificamente cultos numa lógica de sustentabilidade; b) conceber, implementar e avaliar estratégias, fundamentadas no corpus de referência, no âmbito da Geologia no ensino secundário. Corresponde a uma investigação-ação desenvolvida pelo professor de Biologia e Geologia com alunos do 11.º ano e organizada em três fases: i) desenvolvimento de um quadro teórico de referência e concetual; ii) conceção, desenvolvimento e avaliação de uma intervenção didática iii) elaboração de uma proposta metodológica fundamentada para o aprofundamento de uma cultura científica que promova o desenvolvimento da sustentabilidade na Terra a partir do ensino do tempo geológico. Os resultados do estudo apontam para a importância de trabalhar de modo articulado os conceitos de tempo geológico e de desenvolvimento sustentável na formação de cidadãos cientificamente cultos, capazes de dar resposta às questões complexas da sociedade atual. Por outro lado, a análise da intervenção didática confirma a importância das atividades exteriores à sala de aula e do trabalho prático para o desenvolvimento da cidadania, em alunos do ensino secundário, e como facilitadoras da compreensão de conceitos complexos como o de tempo geológico.

Avanços metodológicos na síntese de novos derivados de flavonas

As estirilflavonas poli-hidroxiladas são compostos heterocíclicos de natureza polifenólica que suscitam interesse devido à atividade biológica que possuem atuando, por exemplo, como antioxidantes. O desenvolvimento de novas rotas de síntese de estirilflavonas constitui um desafio e é neste contexto que se têm efetuado vários estudos sobre a aplicação de reações de acoplamento cruzado catalisadas por paládio, como a reação de Heck, na preparação deste tipo de compostos. Nesta dissertação reporta-se a síntese de (E)-8-estirilflavonas através da reação de Heck de 8-iodoflavonas com derivados de estireno com rendimentos excelentes, descrevendo-se um estudo no qual se optimizaram as condições experimentais desta reação. Adicionalmente, descrevem-se duas tentativas de desmetilação da (E)-8-[2-(4-metoxifenil)vinil]-4’,5,7-trimetoxiflavona. As 8- iodoflavonas foram preparadas com elevada regiosseletividade através da ciclização oxidativa/iodação das (E)-2’-hidroxicalconas correspondentes por aplicação do sistema de reagentes I2/DMSO. A propósito, descreve-se um estudo de ciclização oxidativa/iodação da (E)-2’-hidroxi-4,4’,6’- trimetoxicalcona, no qual se testou a aplicação do sistema de reagentes I2/DMSO na síntese de iodoflavonas em reações one-pot. As (E)-2’- hidroxicalconas foram sintetizadas através da condensação aldólica catalisada por base entre a 2’-hidroxi-4’,6’-dimetoxiacetofenona, previamente preparada, e derivados de benzaldeído. A caraterização estrutural da maioria dos compostos obtidos neste trabalho foi efetuada com base em estudos de espetroscopia de ressonância magnética nuclear (RMN), nomeadamente de 1H e 13C, e, sempre que possível, em estudos bidimensionais de correlação espetroscópica heteronuclear (HSQC e HMBC), bem como em estudos de espetrometria de massa (EM).

Ecological quality assessment in transitional systems

Estuaries are poles of attraction for human settlement which is a source of pressures to surface water bodies. The implementation of the European Water Framework Directive (WDF, 2000/60/EC) has increased the investigation in order to develop methodologies to assess the Ecological Quality Status (EQS) of aquatic ecosystems. Transitional systems are naturally stressed and characterized by highly dynamic physical, chemical and hydro-morphologic conditions and by species with a higher level of tolerance to change, being more difficult to develop suitable quality indicators for these systems. The general purpose of this study is to test the ability of synthesis descriptors, including primary (S, taxa richness) and derived biological variable (H’, Shannon-Wiener diversity), biotic indices (AMBI and M-AMBI), body size properties (abundance distribution by body size classes, length, weight and length-weight relationships) and non-taxonomic indices (ISS), as well as functional indicators related to the decomposition rates of various experimental substrates, a macrophyte (Phragmites australis) and an alga (Fucus vesiculosus), to evaluate the environmental quality in transitional systems. This study was carried out in one of the most pristine channels of the Ria the Aveiro, Mira Channel, along a full salinity gradient and in a metals and metalloid sediment contamination area, the Estarreja Channel, and two reference channels (Canelas and Salreu). In this study were used different sampling techniques, the leaf-bag technique and a hand-held corer. In Mira Channel, the alga and the macrophyte presented an opposite trend in the decomposition rate along the salinity gradient, with the decomposition rates of the alga always higher than those of the macrophyte. The decomposition rates of the macrophyte and the alga were higher in the mid estuary and in higher salinity areas, respectively, corresponding to the preferencial distribution areas of each species. The macrobenthic fauna associated with the decaying and an artificial substrate (control) showed equally well the benthic succession from the marine to the freshwater areas and, despite the strong differences in the decay rates, no significant differences were found between the benthic communities associated with the alga and the macrophyte. The body size properties of the macrobenthic fauna associated with the P. australis leaf-bag (1mm and 5mm) and corer samples were studied along the full salinity gradient. The dominant species of the sub-set of measured specimens were not the same of the original macrobenthic fauna sampled but, despite that, the sub-set of measured specimens was also able to show the benthic succession from the marine to the freshwater areas. The body size abundance distribution of the benthic macroinvertebrates according to the ISS size classes did not show a particular trend in any sampler along the salinity gradient. Significant differences were found in the length, weight and length-weight relationships of Annelids, , Molluscs and even some species along the salinity gradient. No significant differences were found in the AMBI, M-AMBI and ISS values along the salinity gradient for all the samplers. The EQS of the corer samples obtained using the M-AMBI was lower than that of the leaf-bags. The EQS obtained with the ISS was higher than that obtained with the M-AMBI in the leaf-bags but not in the corer samples. The ecological effects of contaminated sediments associated with the industrial chemical effluents discharged in the Estarreja Channel were studied a decade after ceasing the emissions, using the Sediment Quality Triad approach and two reference channels. The results showed that despite the emissions ceased in 2004, the sediment remains polluted with high levels of metals and metalloid, available to bioaccumulation and with severe consequences at the community level. The sediment contamination problem was also studied using the leaf-bag technique with a macrophyte, an alga and a control substrate. The results showed that the decay rates, the associated macrofauna and the application of the AMBI, M-AMBI and ISS indices to the mesh-bag samples were not able to identify the sediment contamination. Contrarily to the AMBI, the M-AMBI and the ISS showed significant differences between the contaminated and the reference channels for the corer samples. Although such statistical significance, the interest of using these complex biotic indices could be questioned, when much simple ones, like the S and H’ allow to reach the same conclusions.

Compressive sensing in Clifford analysis

Compressed sensing is a new paradigm in signal processing which states that for certain matrices sparse representations can be obtained by a simple l1-minimization. In this thesis we explore this paradigm for higher-dimensional signal. In particular three cases are being studied: signals taking values in a bicomplex algebra, quaternionic signals, and complex signals which are representable by a nonlinear Fourier basis, a so-called Takenaka-Malmquist system.

Assessing the effectiveness of chemical treatment with nanomaterials in improving the quality of different industrial effluents

Industrial activities are the major sources of pollution in all environments. Depending on the type of industry, various levels of organic and inorganic pollutants are being continuously discharged into the environment. Although, several kinds of physical, chemical, biological or the combination of methods have been proposed and applied to minimize the impact of industrial effluents, few have proved to be totally effective in terms of removal rates of several contaminants, toxicity reduction or amelioration of physical and chemical properties. Hence, it is imperative to develop new and innovative methodologies for industrial wastewater treatment. In this context nanotechnology arises announcing the offer of new possibilities for the treatment of wastewaters mainly based on the enhanced physical and chemical proprieties of nanomaterials (NMs), which can remarkably increase their adsorption and oxidation potential. Although applications of NMs may bring benefits, their widespread use will also contribute for their introduction into the environment and concerns have been raised about the intentional use of these materials. Further, the same properties that make NMs so appealing can also be responsible for producing ecotoxicological effects. In a first stage, with the objective of selecting NMs for the treatment of organic and inorganic effluents we first assessed the potential toxicity of nanoparticles of nickel oxide (NiO) with two different sizes (100 and 10-20 nm), titanium dioxide (TiO2, < 25 nm) and iron oxide (Fe2O3, ≈ 85x425 nm). The ecotoxicological assessment was performed with a battery of assays using aquatic organisms from different trophic levels. Since TiO2 and Fe2O3 were the NMs that presented lower risks to the aquatic systems, they were selected for the second stage of this work. Thus, the two NMs pre-selected were tested for the treatment of olive mill wastewater (OMW). They were used as catalyst in photodegradation systems (TiO2/UV, Fe2O3/UV, TiO2/H2O2/UV and Fe2O3/H2O2/UV). The treatments with TiO2 or Fe2O3 combined with H2O2 were the most efficient in ameliorating some chemical properties of the effluent. Regarding the toxicity to V. fischeri the highest reduction was recorded for the H2O2/UV system, without NMs. Afterwards a sequential treatment using photocatalytic oxidation with NMs and degradation with white-rot fungi was applied to OMW. This new approach increased the reduction of chemical oxygen demand, phenolic content and ecotoxicity to V. fischeri. However, no reduction in color and aromatic compounds was achieved after 21 days of biological treatment. The photodegradation systems were also applied to treat the kraft pulp mill and mining effluents. For the organic effluent the combination NMs and H2O2 had the best performances in reduction the chemical parameters as well in terms of toxicity reduction. However, for the mine effluent the best (TiO2/UV and Fe2O3/UV) were only able to significantly remove three metals (Zn, Al and Cd). Nonetheless the treatments were able of reducing the toxicity of the effluent. As a final stage, the toxicity of solid wastes formed during wastewater treatment with NMs was assessed with Chironomus riparius larvae, a representative species of the sediment compartment. Certain solid wastes showed the potential to negatively affect C. riparius survival and growth, depending on the type of effluent treated. This work also brings new insights to the use of NMs for the treatment of industrial wastewaters. Although some potential applications have been announced, many evaluations have to be performed before the upscaling of the chemical treatments with NMs.

Application of DPSIR framework integrated with multiple regression model to simulate Guadiana catchment - estuary continuum, south eastern Iberia

Dissertação de Mestrado, Gestão da Água e da Costa, Faculdade de Ciências e Tecnologia, Universidade do Algarve, 2010

Estimação em pequenos domínios com modelos espaciotemporais de nível área

Tese dout., Métodos Quantitativos Aplicados à Economia e à Gestão, Universidade do Algarve, 2009

Role of the different actin genes during extrusion of capping protein mutant cells in the Drosophila wing blade epithelium

Dissertação mest., Biotecnologia, Universidade do Algarve, 2008

Modelação morfodinâmica a longa escala temporal: aplicabilidade de um modelo baseado em processos

Disssertação de mest., Estudos Marinhos e Costeiros, Faculdade de Ciências e Tecnologia, Univ. do Algarve, 2010

Modelos teóricos de análise do mercado de segunda habitação

O mercado de segundas habitações envolve investimentos elevados nos destinos, em novos empreendimentos turísticos, complexos de animação e complexos desportivos de apoio, sendo desde 2007 associado a um novo produto estratégico, o turismo residencial. Os turistas estrangeiros que estão associados a este segmento de procura turística (Turismo residencial), deslocam-se para os destinos, onde possuem a sua segunda habitação, por via aérea, sendo por isso muito importante estabelecer elos de ligação entre os vários stakeholders, nomeadamente entidades públicas e privadas que operam no destino, companhias aéreas e aeroportos, pois só assim se podem adequar estratégias individuais e em parceria entre todos os interessados, com o objectivo de captar clientes e até mesmo novos investimentos para a região. Os conceitos teóricos que se conhecem e dados recolhidos em 2007 e 2010, apontam para que os proprietários estrangeiros visitem várias vezes por ano o destino onde possuem uma segunda habitação, em períodos de menor procura turística, o que permite reduzir os índices de sazonalidade do destino. Neste artigo iremos abordar com mais detalhe a questão do mercado de segundas habitações e do produto estratégico que lhe está associado, o turismo residencial, e apresentar dois modelos teóricos que foram desenvolvidos para avaliar o processo de decisão de compra de um imóvel num destino (Procura), com as várias etapas que lhe são inerentes e características subjacentes, assim como a cadeia de valor do imobiliário residencial-turístico (Oferta), que nos permite identificar processos e intervenientes que nela participam, permitindo aferir a complexidade inerente a toda a envolvente e acima de tudo a dificuldade que existe no relacionamento entre actores/participantes.

Abordagem farmacológica da lesão pulmonar induzida por isquémia - reperfusão

Dissertação de mest., Ciências Farmacêuticas, Faculdade de Ciências e Tecnologia, Univ. do Algarve, 2010

Museus, cultura e turismo: uma visão sistémica de poder

O artigo faz uma aplicação de métodos sistémicos juridicos e organizacionais aos museus e a cultura, entendidos enquanto organizações turísticas e conjuntos complexos, concluindo pela sua consideração como fortes estruturas organizacionais de apreensão de poder regulatório do Estado.