Polyhedral study of mixed integer sets arising from inventory problems

“Branch-and-cut” algorithm is one of the most efficient exact approaches to solve mixed integer programs. This algorithm combines the advantages of a pure branch-and-bound approach and cutting planes scheme. Branch-and-cut algorithm computes the linear programming relaxation of the problem at each node of the search tree which is improved by the use of cuts, i.e. by the inclusion of valid inequalities. It should be taken into account that selection of strongest cuts is crucial for their effective use in branch-and-cut algorithm. In this thesis, we focus on the derivation and use of cutting planes to solve general mixed integer problems, and in particular inventory problems combined with other problems such as distribution, supplier selection, vehicle routing, etc. In order to achieve this goal, we first consider substructures (relaxations) of such problems which are obtained by the coherent loss of information. The polyhedral structure of those simpler mixed integer sets is studied to derive strong valid inequalities. Finally those strong inequalities are included in the cutting plane algorithms to solve the general mixed integer problems. We study three mixed integer sets in this dissertation. The first two mixed integer sets arise as a subproblem of the lot-sizing with supplier selection, the network design and the vendor-managed inventory routing problems. These sets are variants of the well-known single node fixed-charge network set where a binary or integer variable is associated with the node. The third set occurs as a subproblem of mixed integer sets where incompatibility between binary variables is considered. We generate families of valid inequalities for those sets, identify classes of facet-defining inequalities, and discuss the separation problems associated with the inequalities. Then cutting plane frameworks are implemented to solve some mixed integer programs. Preliminary computational experiments are presented in this direction.

Modelos autoregressivos por limiares em séries de contagem

A modelação e análise de séries temporais de valores inteiros têm sido alvo de grande investigação e desenvolvimento nos últimos anos, com aplicações várias em diversas áreas da ciência. Nesta tese a atenção centrar-se-á no estudo na classe de modelos basedos no operador thinning binomial. Tendo como base o operador thinning binomial, esta tese focou-se na construção e estudo de modelos SETINAR(2; p(1); p(2)) e PSETINAR(2; 1; 1)T , modelos autorregressivos de valores inteiros com limiares autoinduzidos e dois regimes, admitindo que as inovações formam uma sucessão de variáveis independentes com distribuição de Poisson. Relativamente ao primeiro modelo analisado, o modelo SETINAR(2; p(1); p(2)), além do estudo das suas propriedades probabilísticas e de métodos, clássicos e bayesianos, para estimar os parâmetros, analisou-se a questão da seleção das ordens, no caso de elas serem desconhecidas. Com este objetivo consideraram-se algoritmos de Monte Carlo via cadeias de Markov, em particular o algoritmo Reversible Jump, abordando-se também o problema da seleção de modelos, usando metodologias clássica e bayesiana. Complementou-se a análise através de um estudo de simulação e uma aplicação a dois conjuntos de dados reais. O modelo PSETINAR(2; 1; 1)T proposto, é também um modelo autorregressivo com limiares autoinduzidos e dois regimes, de ordem unitária em cada um deles, mas apresentando uma estrutura periódica. Estudaram-se as suas propriedades probabilísticas, analisaram-se os problemas de inferência e predição de futuras observações e realizaram-se estudos de simulação.

A terapia de grupo na doença oncológica

Existem milhões de sobreviventes de cancro da mama no mundo, em exponencial crescimento. Esta população pode apresentar preocupações relevantes acerca do futuro, depressão, ansiedade, sintomas pós-traumáticos, e comprometimento da qualidade de vida. As intervenções de grupo breves, estruturadas, especialmente as que incluem estratégias cognitivo-comportamentais, têm sido indicadas para esta população. O presente trabalho surge neste contexto, em que os estudos são escassos, especialmente em Portugal. Um conjunto de 5 estudos foi conduzido com o intuito de avaliar a eficácia de dois programas de intervenção de grupo breves e estruturadas de inspiração cognitivo-comportamental, um de tipo psicopedagógico e outro de terapia cognitivo-comportamental, em sobreviventes de cancro da mama. Nos primeiros dois estudos procedeu-se ao estudo das caraterísticas psicométricas de dois instrumentos de avaliação, o Questionário de Formas de Lidar com o Cancro (CCQ) e o Questionário de Saúde do Paciente (PHQ-9).Os dois estudos seguintes referem-se ao desenvolvimento dos programas de intervenção de grupo, acompanhados dos resultados preliminares. No último estudo avaliou-se a eficácia dos dois programas de intervenção na promoção do ajustamento psicossocial de 62 sobreviventes de cancro da mama, num estudo quasi-experimental, com pré e pós-testes e duas avaliações de seguimento (3 e 6 meses após a intervenção). Foram utilizados os seguintes instrumentos de avaliação: o CCQ; o PHQ-9; a Escala de Controlo Emocional (CEC); a Escala de Ansiedade e Depressão Hospitalar (EADH); o questionário de qualidade de vida da Organização Europeia de Investigação e Tratamento de Cancro com o módulo suplementar de cancro da mama (EORTC QLQ-C30 e BR-23); o Inventário Clínico de Autoconceito (ICAC); o Teste de Orientação de Vida - Revisto (TOV-R); o Perfil dos Estados de Humor (POMS); a Subescala de Crescimento Pessoal da Escala de Bem-Estar Psicológico (EBEP); a sub-escala de espiritualidade e o Inventário de estado-traço de ansiedade (STAI). Resultados: As sobreviventes que não tiveram intervenção apresentaram deterioração de dois domínios da qualidade de vida, a função cognitiva e a dor, para além de piores resultados na subescala de vigor. A deterioração dos domínios da qualidade de vida manteve-se aos 3 meses e extendeu-se aos sintomas da mama, o que não se verificou com o vigor. O grupo com intervenção psicoeducativa apresentou melhoria do autoconceito até aos 6 meses. Neste grupo também se observou um aumento do controlo emocional até aos 3 meses. O grupo de terapia cognitivo-comportamental apresentou aumento do estado de ansiedade e diminuição do funcionamento de papel no final da intervenção, diminuição do funcionamento emocional aos 3 meses e aumento na hostilidade e na confusão aos 6 meses. Ambos os grupos com intervenção apresentaram diminuição do traço de ansiedade aos 6 meses. Foram encontradas diversas correlações significativas destes efeitos com variáveis demográficas, clínicas e psicossociais. Conclusão: As intervenções de grupo breves, de inspiração cognitivo-comportamental, mostraram contribuir para a redução do traço de ansiedade a longo prazo e para a manutenção da função cognitiva, da dor, do vigor, e dos sintomas da mama nas sobreviventes. O programa psicopedagógico parece ser mais indicado para as sobreviventes, pelos efeitos no autoconceito, com maior extensão a longo prazo. São referidas implicações para a prática clínica e para a promoção da saúde mental desta população.

Avaliação do perfil de cuidado de enfermagem geriátrico em hospitais de Portugal

A transição demográfica e epidemiológica da população portuguesa tem e terá um enorme impacto na utilização dos recursos de saúde. Atualmente, as pessoas idosas representam um dos grupos etários com taxas de internamento hospitalar mais significativos. Contudo, os dados sobre a hospitalização destas pessoas têm demonstrado resultados de saúde negativos, nomeadamente, o declínio funcional e cognitivo e o risco elevado de eventos adversos. Os/as enfermeiros/as têm um papel crucial na mudança desta realidade. Deste modo, a associação entre o contexto no qual decorre o cuidado de enfermagem geriátrica e os resultados deste cuidado relativos a/os utentes, enfermeiros/as e organizações têm sido proficuamente documentados. Algumas estratégias para promover a qualidade do cuidado geriátrico e a segurança das pessoas idosas hospitalizadas consistem em avaliar e (re)criar o ambiente de trabalho geriátrico dos/as enfermeiros/as (AGTE) e capacitar e treinar estes/as profissionais no cuidado à pessoa idosa. Embora, internacionalmente, os dados demonstrem a associação entre as características de hospitais e/ou enfermeiros/as e o AGTE, não existem estudos em Portugal nesta área, bem como sobre o conhecimento e as atitudes destes profissionais no contexto hospitalar. Por conseguinte, este estudo teve como objetivos: 1) traduzir, adaptar culturalmente e validar as escalas que compõem o questionário Geriatric Institucional Assessment Proflie (GIAP) para a população portuguesa; 2) analisar o AGTE (fatores intrínsecos e extrínsecos) que apoiam ou dificultam a adoção das melhores práticas geriátricas em hospitais portugueses; 3) analisar as atitudes e conhecimento de enfermeiros/as acerca de quatro síndromes geriátricas (úlceras de pressão, distúrbio do sono, contenção física e incontinência), destacando as boas práticas e os problemas encontrados nos hospitais portugueses; 4) analisar a relação entre as variáveis demográficas, profissionais e as características dos hospitais e as escalas que compõem o GIAP – versão portuguesa; 5) conhecer as perceções de enfermeiros/as acerca do cuidado às pessoas idosas hospitalizadas e dos obstáculos enfrentados para desenvolver um cuidado de boa qualidade; e 6) analisar a relação entre a perceção de enfermeiros/as sobre o AGTE e o conhecimento e atitudes geriátricas destes profissionais em função da região e unidade de internamento. Este estudo foi desenvolvido com base num método quantitativo do tipo exploratório-descritivo, transversal, prospetivo e correlacional. A amostra foi constituída por 1.068 enfermeiros/as de cinco hospitais da região norte e centro do país. A recolha de dados foi desenvolvida através de autopreenchimento do GIAP – versão portuguesa. De entre os principais resultados destacam-se: 1) a obtenção de um instrumento válido e fiável para avaliar o AGTE e conhecimentos e atitudes geriátricas; 2) a perceção de enfermeiros/as sobre o cuidado às pessoas idosas como sendo predominantemente negativa; 3) a perceção de enfermeiros/as sobre o apoio insuficiente dos líderes hospitalares para promover um AGTE favorável; 4) o cuidado a pessoas idosas com comportamentos inadequados e o uso de recursos geriátricos como os principais fatores que influenciam a eficácia e a qualidade do cuidado geriátrico; 5) a lacuna de conhecimento e atitudes negativas de enfermeiros/as acerca das quatro síndromes geriátricas; 6) a conceptualização de um modelo sobre a associação das características de enfermeiros/as, dos hospitais do estudo e das perceções destes/as profissionais sobre o cuidado geriátrico com o AGTE e o conhecimento e atitudes geriátricos; 7) a falta de apoio familiar, a descontinuidade e a escassez de tempo para o cuidado como principais obstáculos no cuidado à pessoa idosa hospitalizada; e 8) o perfil de cuidado geriátrico nos hospitais da região norte e centro de Portugal como tendencialmente homogéneo. Os resultados deste estudo sustentam a necessidade de um maior investimento dos decisores políticos, administradores hospitalares e docentes de Enfermagem na capacitação dos/as enfermeiros/as para o cuidado geriátrico e na promoção de um AGTE mais favorável. Também oferece recomendações significativas nos domínios da decisão política, da gestão institucional e da prática profissional que devem ser alvo de uma discussão alargada entre os vários agentes com responsabilidade nestes domínios. Espera-se que este estudo possa contribuir para a promoção de um contexto favorável ao desenvolvimento de um cuidado de enfermagem geriátrica de boa qualidade às pessoas hospitalizadas.

Pregnancy and newborns disorders followed by urine metabolomics

Chapter 1 introduces the scope of the work by identifying the clinically relevant prenatal disorders and presently available diagnostic methods. The methodology followed in this work is presented, along with a brief account of the principles of the analytical and statistical tools employed. A thorough description of the state of the art of metabolomics in prenatal research concludes the chapter, highlighting the merit of this novel strategy to identify robust disease biomarkers. The scarce use of maternal and newborn urine in previous reports enlightens the relevance of this work. Chapter 2 presents a description of all the experimental details involved in the work performed, comprising sampling, sample collection and preparation issues, data acquisition protocols and data analysis procedures. The proton Nuclear Magnetic Resonance (NMR) characterization of maternal urine composition in healthy pregnancies is presented in Chapter 3. The urinary metabolic profile characteristic of each pregnancy trimester was defined and a 21-metabolite signature found descriptive of the metabolic adaptations occurring throughout pregnancy. 8 metabolites were found, for the first time to our knowledge, to vary in connection to pregnancy, while known metabolic effects were confirmed. This chapter includes a study of the effects of non-fasting (used in this work) as a possible confounder. Chapter 4 describes the metabolomic study of 2nd trimester maternal urine for the diagnosis of fetal disorders and prediction of later-developing complications. This was achieved by applying a novel variable selection method developed in the context of this work. It was found that fetal malformations (FM) (and, specifically those of the central nervous system, CNS) and chromosomal disorders (CD) (and, specifically, trisomy 21, T21) are accompanied by changes in energy, amino acids, lipids and nucleotides metabolic pathways, with CD causing a further deregulation in sugars metabolism, urea cycle and/or creatinine biosynthesis. Multivariate analysis models´ validation revealed classification rates (CR) of 84% for FM (87%, CNS) and 85% for CD (94%, T21). For later-diagnosed preterm delivery (PTD), preeclampsia (PE) and intrauterine growth restriction (IUGR), it is found that urinary NMR profiles have early predictive value, with CRs ranging from 84% for PTD (11-20 gestational weeks, g.w., prior to diagnosis), 94% for PE (18-24 g.w. pre-diagnosis) and 94% for IUGR (2-22 g.w. pre-diagnosis). This chapter includes results obtained for an ultraperformance liquid chromatography-mass spectrometry (UPLC-MS) study of pre-PTD samples and correlation with NMR data. One possible marker was detected, although its identification was not possible. Chapter 5 relates to the NMR metabolomic study of gestational diabetes mellitus (GDM), establishing a potentially predictive urinary metabolic profile for GDM, 2-21 g.w. prior to diagnosis (CR 83%). Furthermore, the NMR spectrum was shown to carry information on individual phenotypes, able to predict future insulin treatment requirement (CR 94%). Chapter 6 describes results that demonstrate the impact of delivery mode (CR 88%) and gender (CR 76%) on newborn urinary profile. It was also found that newborn prematurity, respiratory depression, large for gestational age growth and malformations induce relevant metabolic perturbations (CR 82-92%), as well as maternal conditions, namely GDM (CR 82%) and maternal psychiatric disorders (CR 91%). Finally, the main conclusions of this thesis are presented in Chapter 7, highlighting the value of maternal or newborn urine metabolomics for pregnancy monitoring and disease prediction, towards the development of new early and non-invasive diagnostic methods.

NMR in the characterization of heavy residual procedural streams

The main objective of this work was to monitor a set of physical-chemical properties of heavy oil procedural streams through nuclear magnetic resonance spectroscopy, in order to propose an analysis procedure and online data processing for process control. Different statistical methods which allow to relate the results obtained by nuclear magnetic resonance spectroscopy with the results obtained by the conventional standard methods during the characterization of the different streams, have been implemented in order to develop models for predicting these same properties. The real-time knowledge of these physical-chemical properties of petroleum fractions is very important for enhancing refinery operations, ensuring technically, economically and environmentally proper refinery operations. The first part of this work involved the determination of many physical-chemical properties, at Matosinhos refinery, by following some standard methods important to evaluate and characterize light vacuum gas oil, heavy vacuum gas oil and fuel oil fractions. Kinematic viscosity, density, sulfur content, flash point, carbon residue, P-value and atmospheric and vacuum distillations were the properties analysed. Besides the analysis by using the standard methods, the same samples were analysed by nuclear magnetic resonance spectroscopy. The second part of this work was related to the application of multivariate statistical methods, which correlate the physical-chemical properties with the quantitative information acquired by nuclear magnetic resonance spectroscopy. Several methods were applied, including principal component analysis, principal component regression, partial least squares and artificial neural networks. Principal component analysis was used to reduce the number of predictive variables and to transform them into new variables, the principal components. These principal components were used as inputs of the principal component regression and artificial neural networks models. For the partial least squares model, the original data was used as input. Taking into account the performance of the develop models, by analysing selected statistical performance indexes, it was possible to conclude that principal component regression lead to worse performances. When applying the partial least squares and artificial neural networks models better results were achieved. However, it was with the artificial neural networks model that better predictions were obtained for almost of the properties analysed. With reference to the results obtained, it was possible to conclude that nuclear magnetic resonance spectroscopy combined with multivariate statistical methods can be used to predict physical-chemical properties of petroleum fractions. It has been shown that this technique can be considered a potential alternative to the conventional standard methods having obtained very promising results.

Ritmos biológicos, cronotipo e funções cognitivas : um estudo de campo

Os primeiros estudos onde se tentava avaliar os melhores horários para se lecionar de forma a se poderem otimizar os horários escolares são já muito antigos. O primeiro a estabelecer uma relação sistemática entre performance cognitiva, Cronobiologia e sono foi Kleitman, evidenciando uma paralelismo entre o ritmo circadiano da temperatura central e a altura do dia em que eram realizadas tarefas simples de repetição. Após este primeiro estudo, muitos outros se seguiram, contudo a maioria apenas encontrou ritmos em protocolos de rotina constante e dessincronização forçada desprovidos de validade ecológica. Acresce ainda o facto de neste tipo de estudos não haver uma manipulação sistemática do efeito do padrão individual de distribuição dos parâmetros circadianos no nictómero, designado na literatura como Cronotipo. Perante isto, o presente estudo pretende avaliar a influência do Cronotipo nos ritmos cognitivos, utilizando um protocolo de rotina normal (Ecológico), onde também se manipula o efeito fim-de-semana. Para testar as premissas supramencionadas, utilizou-se uma amostra de 16 alunos universitários, que numa primeira fase responderam ao questionário de Matutinidade e Vespertinidade de Horne&Östberg, para caracterização do Cronotipo, e posteriormente andaram 15-17 dias consecutivos com tempatilumis (actímetros) para análise de ritmos de temperatura e atividade, com iPads onde realizavam ao longo do dia várias tarefas cognitivas e com o Manual de Registo Diário, onde respondiam ao diário de sono e de atividade. A análise de dados denotou a inexistência de expressão de ritmos na maioria dos parâmetros cognitivos inviabilizando a verificação de diferenças significativas entre indivíduos matutinos e vespertinos nestes parâmetros. Esta ausência de visualização da expressão rítmica pode ser explicada pelo facto de os participantes não terem aderido da forma desejada e exigida, à realização das tarefas cognitivas, ou pelo facto de termos usado um protocolo de rotina normal, em detrimento dos protocolos de rotina constate e dessincronização forçada, não controlando assim algumas variáveis que influenciam o desempenho cognitivo, podendo estas mascarar ou mesmo eliminar o ritmo. Ainda assim e apesar destas contingências observaram-se ritmos circadianos nas variáveis de autoavaliação, mesmo com o paradigma ecológico. Verificou-se ainda um efeito da hora do dia em vários parâmetros de tarefas cognitivas e motoras medidas objetivamente, assim como uma diminuição da performance cognitiva nos vespertinos, comparativamente aos matutinos, na janela temporal das 6h às 12 horas, que coincide com a maior concentração de horas de aulas por dia na Universidade onde o estudo foi realizado. Outros estudos serão necessários para consolidar a influência do Cronotipo nos ritmos cognitivos, utilizando o protocolo de rotina normal para garantir a validade ecológica, salvaguardando uma participação mais ativa na execução das tarefas cognitivas por parte dos sujeitos em estudo.

Estudo da ansiedade em alunos do ensino superior utilizando o Biofeedback

A ansiedade é reconhecidamente um fator que interfere no sucesso académico tendo implicações ao nível da saúde física e mental dos indivíduos. A literatura tem revelado a necessidade de intervir preventivamente de forma a minimizar a ocorrência de perturbações mais complexas com elevado impacto pessoal e social. Em Portugal são reduzidos os estudos que englobem a intervenção específica na ansiedade em contexto do ensino superior, pelo que o pretendemos com o nosso contributo colmatar uma lacuna especificamente ao nível da avaliação da ansiedade com instrumentos de medida psicofisiológicos. A presente investigação pretende: 1) caracterizar os estudantes quanto aos seus níveis de ansiedade, fatores de stresse e bem-estar e a relação destes com variáveis sociodemográficas e académicas (estudo tipo transversal); 2) avaliar a eficácia da intervenção na gestão da ansiedade, com programa de Biofeedback (BFB) e comparar com a Terapia Cognitivo Comportamental - TCC (Estudo do tipo quasi-experimental); 3) estudar e avaliar a intervenção específica com BFB. A amostra global envolveu 310 estudantes do 1º ano de áreas de saúde repartidos por três estudos. Os instrumentos utilizados foram o State Trait Anxiety Inventory (STAI), o Inventário de Stresse nos Estudantes Universitários (ISEU) e o Teste de Orientação de Vida (LOT, de Life Orientation Test), Patient’s Health Questionnaire (PHQ-9) e os Termómetros Emocionais (TE). Como instrumento de avaliação das variáveis psicofisiológicas foi usado o Biofeedback 2000x-pert. No primeiro estudo foi feita a caracterização dos níveis de ansiedade, de stresse e de bem-estar dos estudantes do primeiro ano da Escola Superior de Saúde da Universidade de Aveiro, os quais identificaram níveis elevados de ansiedade e de stress. O segundo estudo, a partir dos elementos encontrados no primeiro, incluiu uma intervenção comparativa entre o BFB e a TCC na gestão da ansiedade. No terceiro estudo, focalizado na avaliação da eficácia do Biofeedback, os resultados mostraram que o BFB é particularmente eficaz na redução desses níveis nos estudantes com níveis elevados de ansiedade e stresse. As conclusões desta investigação sugerem que o BFB apresenta possibilidades interessantes para ser utilizado num programa de redução do stresse e da ansiedade em estudantes do ES. São referidas implicações para o futuro, estratégias de intervenção que permitam potenciar o desempenho académico dos estudantes.

Psycho-physio dynamics in violin-piano duo: a pianist's perspective

The case study looked at psychological and physiological responses to stress in musicians, comparing a newly formed and a consolidated violin-piano duo. The common element between these duos was the pianist. Using the psychological tests (STAI Y1 and Y2, K-MPAI, MMPI-2, ICAC), the immunoassay saliva test to measure cortisol (stress hormone) and non- invasive device VitalJacket® developed at the University of Aveiro, Portugal, participants were monitored under various performance conditions. Others quantitative and qualitative dataset were collected including a pianist’s personal diary (analyzed by psychiatrist), semi-structured interviews with members of long-terms chamber music duo and perceptual evaluations (listening test) of the performances by expert listeners. The variables included two performance venues (European university and secondary school), as well as well-known repertoire, recently known repertoire and newly known repertoire. The latter was given approximately one week before each recital. The psychological and physiological dataset were collected for a total of eight recitals – two series of four recitals each. The unexpected results show that state anxiety levels and stress of the pianist, who does not present an anxious profile, either in social or in musical terms, are always higher when playing with a well-known partner. Possible explanations may be due to the highest expectations for quality of performance and implications of mirror neurons (since the reactions are very different according to the partner). In other words, the “known” (i.e., the consolidated duo) can become “trapped” within a predetermined space, especially at the psychological level, while the “unknown” (the occasional duo) seems to be less involved and therefore more reassuring and exciting in positive terms. In addition, the preference of the expert audience is for the consolidated duo.

The impact of communication disability on quality of life of people with aphasia and their caregivers

Aphasia is a chronic acquired communication disorder that may change people with aphasia (PWA) and their caregivers’ lives for ever. Social and emotional changes are frequently reported by both, although the impact of these changes in quality of life (QOL) needs further research. This study identifies predictors and variables that influence PWA’s and their caregivers’ QOL and social relationships (SR). A cross-sectional descriptive, correlational and comparative study was undertaken with 255 individuals from Portuguese general population (mean age 43 years, range 25-84 years; 148 females, 107 males), 25 PWA (mean age 54 years, range 20-71; 12 females and 13 males), and 25 caregivers (mean age 51 years, range 26-73; 17 females and 8 males). All the participants completed the World Health Quality of Life Bref instrument, the SR domain of the World Health Organization Quality of Life – 100 scale, and the Center for Epidemiologic Studies Depression Scale. Participants with aphasia completed the Lisbon Aphasia Assessment Battery, Barthel Index, Frenchay Activities Index, Communication Disability Profile and the Modified Mini-Mental State which evaluated language disability, aphasia coefficient, activities, participation and cognition. In addition, caregivers completed the Carers’ Assessment of Managing Index to assess coping strategies. PWA and their caregivers are less satisfied with their QOL and SR than Portuguese general population; whereas PWA have the worse QOL and SR. Thus, aphasia seems to impact negatively in their QOL and SR. Emotional status has great importance for QOL and SR among the three groups. PWA’s activities and participation have great impact in both PWA’s and caregivers’ QOL and SR. Additionally, emotional status and participation are the best predictors of PWA’s QOL. Along with these two variables, activities of the PWA are the best predictors of caregivers’ QOL. Participation is the best predictor of PWA’s SR; emotional status and number of cohabitants are best predictors for caregivers’ SR. Aphasia assessment and intervention should take into account all the factors that influence PWA’s and caregivers’ QOL and SR so the central goal of enhancing it can be achieved. These results are important for identifying and planning support needs and are useful in the orientation of the activities carried out by the service providers allowing the adjustment of health programs and policies based on people’s real life needs.

Alkali-free bioactive glasses for bone regeneration

Bioactive glasses and glass-ceramics are a class of third generation biomaterials which elicit a special response on their surface when in contact with biological fluids, leading to strong bonding to living tissues. The purpose of the present study was to develop diopside based alkali-free bioactive glasses in order to achieve good sintering behaviour, high bioactivity, and a dissolution/ degradation rates compatible with the target applications in bone regeneration and tissue engineering. Another aim was to understand the structure-property relationships in the investigated bioactive glasses. In this quest, various glass compositions within the Diopside (CaMgSi2O6) – Fluorapatite (Ca5(PO4)3F) – Tricalcium phosphate (3CaO•P2O5) system have been investigated. All the glasses were prepared by melt-quenching technique and characterized by a wide array of complementary characterization techniques. The glass-ceramics were produced by sintering of glass powders compacts followed by a suitable heat treatment to promote the nucleation and crystallization phenomena. Furthermore, selected parent glass compositions were doped with several functional ions and an attempt to understand their effects on the glass structure, sintering ability and on the in vitro bio-degradation and biomineralization behaviours of the glasses was made. The effects of the same variables on the devitrification (nucleation and crystallization) behaviour of glasses to form bioactive glass-ceramics were also investigated. Some of the glasses exhibited high bio-mineralization rates, expressed by the formation of a surface hydroxyapatite layer within 1–12 h of immersion in a simulated body fluid (SBF) solution. All the glasses showed relatively lower degradation rates in comparison to that of 45S5 Bioglass®. Some of the glasses showed very good in vitro behaviour and the glasses co-doped with zinc and strontium showed an in vitro dose dependent behaviour. The as-designed bioactive glasses and glass–ceramic materials are excellent candidates for applications in bone regeneration and for the fabrication of scaffolds for tissue engineering.

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.

Nanocomposites as probes for biodetection by SERS

The present work aimed to explore the potential of new nanocomposites based on carbon nanostructures and metal nanoparticles for the detection of biomolecules through surface enhanced Raman scattering (SERS). In a first step, polyvinyl alcohol composites were prepared incorporating silver nanoparticles by two different reduction procedures. At first without introduction of carbon nanostructures. These composites showed good results for the SERS identification of nucleic acids. Next, the synthesis and characterization of graphene oxide was studied to be used in the preparation of silver and gold nanocomposites. The reduction of this nanomaterial with different chemical agents was explored, since its reduction degree may be a determinant factor for the application envisaged (biomolecules interaction). The preparation of the nanocomposites with silver and gold was performed with different reducing agents. The SERS activity of these new nanocomposites was then explored in the presence of different analytes, varying the experimental conditions for Raman spectra acquisition. It was interesting to verify that the silver containing nanocomposites presented the particularity to intensify the graphene D and G bands. It is also important to highlight that a new eco-friendly reducing agent was tested for the synthesis of the graphene oxide composites, an Eucalyptus Globulus extract. Other variable introduced was the preparation of gold nanostars synthesized with hydroxylamine in the presence of graphene oxide, which allowed the preparation of a new nanocomposite with SERS potential. Fibrous membranes were also prepared by electrospinning with the aim to prepare SERS supports with adequate topography and porosity for the formation of nanoparticles agglomerates for the creation of the so-called hot-spots and also to allow the penetration of the analyte molecules. The polymers polyvinyl alcohol and polyacrylonitrile were selected for electrospinning. Using this technique, electrospun mantles with silver and gold nanoparticles and nanocomposites were prepared. Several variables were studied, such as the introduction of the nano-fillers during the electrospinning process, later deposition of the nano-fillers on the simple electrospun polymeric fibres and surface functionalization of the simple polymeric membranes to link the nano-fillers. At last, the potentialities of using carbon nanotubes forests, produced by chemical vapor deposition and coated with gold film by sputtering, as new SERS substrates were explored. It was found that the SERS detection of DNA bases and ADN itself is possible using these substrates.

Surface reactivity enhancement of silica-based glass-ceramic scaffolds

A paradigm shift is taking place from using transplanting tissue and synthetic implants to a tissue engineering approach that aims to regenerate damaged tissues by combining cells from the body with highly porous scaffold biomaterials, which act as templates, guiding the growth of new tissue. The central focus of this thesis was to produce porous glass and glass-ceramic scaffolds that exhibits a bioactive and biocompatible behaviour with specific surface reactivity in synthetic physiological fluids and cell-scaffold interactions, enhanced by composition and thermal treatments applied. Understanding the sintering behaviour and the interaction between the densification and crystallization processes of glass powders was essential for assessing the ideal sintering conditions for obtaining a glass scaffolds for tissue engineering applications. Our main goal was to carry out a comprehensive study of the bioactive glass sintering, identifying the powder size and sintering variables effect, for future design of sintered glass scaffolds with competent microstructures. The developed scaffolds prepared by the salt sintering method using a 3CaO.P2O5 - SiO2 - MgO glass system, with additions of Na2O with a salt, NaCl, exhibit high porosity, interconnectivity, pore size distribution and mechanical strength suitable for bone repair applications. The replacement of 6 % MgO by Na2O in the glass network allowed to tailor the dissolution rate and bioactivity of the glass scaffolds. Regarding the biological assessment, the incorporation of sodium to the composition resulted in an inibition cell response for small periods. Nevertheless it was demonstrated that for 21 days the cells response recovered and are similar for both glass compositions. The in vitro behaviour of the glass scaffolds was tested by introducing scaffolds to simulated body fluid for 21 days. Energy-dispersive Xray spectroscopy and SEM analyses proved the existence of CaP crystals for both compositions. Crystallization forming whitlockite was observed to affect the dissolution behaviour in simulated body fluid. By performing different heat treatments, it was possible to control the bioactivity and biocompatability of the glass scaffolds by means of a controlled crystallization. To recover and tune the bioactivity of the glass-ceramic with 82 % crystalline phase, different methods have been applied including functionalization using 3- aminopropyl-triethoxysilane (APTES). The glass ceramic modified surface exhibited an accelerated crystalline hydroxyapatite layer formation upon immersion in SBF after 21 days while the as prepared glass-ceramic had no detected formation of calcium phosphate up to 5 months. A sufficient mechanical support for bone tissue regeneration that biodegrade later at a tailorable rate was achievable with the glass–ceramic scaffold. Considering the biological assessment, scaffolds demonstrated an inductive effect on the proliferation of cells. The cells showed a normal morphology and high growth rate when compared to standard culture plates. This study opens up new possibilities for using 3CaO.P2O5–SiO2–MgO glass to manufacture various structures, while tailoring their bioactivity by controlling the content of the crystalline phase. Additionally, the in vitro behaviour of these structures suggests the high potential of these materials to be used in the field of tissue regeneration.

Ensaios sobre o crescimento económico regional e a dinâmica do processo de convergência

The research is centred on economic growth and it adopts a regional view focused on European regions (NUTS 2). Under analysis is the undergoing convergence process in Europe to evaluate if there is an increase in regional economic growth and a simultaneous decrease in regional disparities. The empirical evidence shows signs of transience on the regional convergence process, along with the formation of several clusters of regions. Considering this evidence it is of interest to assess the profiles of such clusters, and evaluate the homogeneousness of its regions and their spread across European space. As suggested in the literature, space is a relevant factor in the spread of clusters, according to the different variables (regions profiles, diversity measures and growth indicators). Regional disparities across Europe are, on average, large and persistent, with a high degree of stability among the relative rankings of European regions. Such results cast shadows about the impact of European structural funding in diminishing regional disparities. Such an approach is of interest due to the growing need to evaluate the effectiveness and efficiency of public policies implemented. The fact that there is an undergoing process of economic integration in Europe increases the usefulness of such an analysis, especially in a context in which European public funds are negotiated and granted.