Revenue diversification in higher education: the case of Portugal

Socio-economic changes, alterations in societal expectations and new public policies have put pressures on higher education public funding, bringing the issue of funding diversification to the forefront. Income diversification, namely, generation of funds from private, as well as from competitive public sources, has become increasingly important in European higher education due to a complex financial environment and perceived deficit of innovation transfer. Although there are numerous studies about changes in national funding systems and allocation mechanisms, few have focused on diversification of funding sources, especially in the European context, making Portugal no exception. Thus, this study aims at exploring income diversification at the institutional level and its influence on the internal organisational structures. For this purpose two Portuguese public universities were chosen as case studies. The empirical material was collected through semi-structured interviews with top management and middle management of each university and through documentary analysis. Data analysis demonstrated that both universities are in the process of institutionalizing and formalising practices of income diversification, notably by getting more professional in how they are dealing with external stakeholders, such as businesses, local community, and students. However, the study also revealed that there is no formal, organised strategy to deal with income diversification. In general, the universities are reacting to external demands rather than pro-actively exploring opportunities. In this respect, the analysis determined several factors that promote or inhibit income diversification activities. Quality and favourable organizational culture were named by the interviewees as the most relevant factors for successful income diversification. External factors such as legal arrangements and funding conditions were cited as major constraints. This research has also revealed that revenue diversification activities tend to develop along the continuum towards higher sophistication and systematisation of activities that are supported by a powerful infrastructure. Together with efforts at the institutional level, the role of government policies proves to be crucial in providing tools and incentives to higher education institutions and creating a harmonious higher education system.

Optimisation of viscoelastic treatments using genetic algorithms

Viscoelastic treatments are one of the most efficient treatments, as far as passive damping is concerned, particularly in the case of thin and light structures. In this type of treatment, part of the strain energy generated in the viscoelastic material is dissipated to the surroundings, in the form of heat. A layer of viscoelastic material is applied to a structure in an unconstrained or constrained configuration, the latter proving to be the most efficient arrangement. This is due to the fact that the relative movement of both the host and constraining layers cause the viscoelastic material to be subjected to a relatively high strain energy. There are studies, however, that claim that the partial application of the viscoelastic material is just as efficient, in terms of economic costs or any other form of treatment application costs. The application of patches of material in specific and selected areas of the structure, thus minimising the extension of damping material, results in an equally efficient treatment. Since the damping mechanism of a viscoelastic material is based on the dissipation of part of the strain energy, the efficiency of the partial treatment can be correlated to the modal strain energy of the structure. Even though the results obtained with this approach in various studies are considered very satisfactory, an optimisation procedure is deemed necessary. In order to obtain optimum solutions, however, time consuming numerical simulations are required. The optimisation process to use the minimum amount of viscoelastic material is based on an evolutionary geometry re-design and calculation of the modal damping, making this procedure computationally costly. To avert this disadvantage, this study uses adaptive layerwise finite elements and applies Genetic Algorithms in the optimisation process.

Control design for multicast-aware class-based networks

The expectations of citizens from the Information Technologies (ITs) are increasing as the ITs have become integral part of our society, serving all kinds of activities whether professional, leisure, safety-critical applications or business. Hence, the limitations of the traditional network designs to provide innovative and enhanced services and applications motivated a consensus to integrate all services over packet switching infrastructures, using the Internet Protocol, so as to leverage flexible control and economical benefits in the Next Generation Networks (NGNs). However, the Internet is not capable of treating services differently while each service has its own requirements (e.g., Quality of Service - QoS). Therefore, the need for more evolved forms of communications has driven to radical changes of architectural and layering designs which demand appropriate solutions for service admission and network resources control. This Thesis addresses QoS and network control issues, aiming to improve overall control performance in current and future networks which classify services into classes. The Thesis is divided into three parts. In the first part, we propose two resource over-reservation algorithms, a Class-based bandwidth Over-Reservation (COR) and an Enhanced COR (ECOR). The over-reservation means reserving more bandwidth than a Class of Service (CoS) needs, so the QoS reservation signalling rate is reduced. COR and ECOR allow for dynamically defining over-reservation parameters for CoSs based on network interfaces resource conditions; they aim to reduce QoS signalling and related overhead without incurring CoS starvation or waste of bandwidth. ECOR differs from COR by allowing for optimizing control overhead minimization. Further, we propose a centralized control mechanism called Advanced Centralization Architecture (ACA), that uses a single state-full Control Decision Point (CDP) which maintains a good view of its underlying network topology and the related links resource statistics on real-time basis to control the overall network. It is very important to mention that, in this Thesis, we use multicast trees as the basis for session transport, not only for group communication purposes, but mainly to pin packets of a session mapped to a tree to follow the desired tree. Our simulation results prove a drastic reduction of QoS control signalling and the related overhead without QoS violation or waste of resources. Besides, we provide a generic-purpose analytical model to assess the impact of various parameters (e.g., link capacity, session dynamics, etc.) that generally challenge resource overprovisioning control. In the second part of this Thesis, we propose a decentralization control mechanism called Advanced Class-based resource OverpRovisioning (ACOR), that aims to achieve better scalability than the ACA approach. ACOR enables multiple CDPs, distributed at network edge, to cooperate and exchange appropriate control data (e.g., trees and bandwidth usage information) such that each CDP is able to maintain a good knowledge of the network topology and the related links resource statistics on real-time basis. From scalability perspective, ACOR cooperation is selective, meaning that control information is exchanged dynamically among only the CDPs which are concerned (correlated). Moreover, the synchronization is carried out through our proposed concept of Virtual Over-Provisioned Resource (VOPR), which is a share of over-reservations of each interface to each tree that uses the interface. Thus, each CDP can process several session requests over a tree without requiring synchronization between the correlated CDPs as long as the VOPR of the tree is not exhausted. Analytical and simulation results demonstrate that aggregate over-reservation control in decentralized scenarios keep low signalling without QoS violations or waste of resources. We also introduced a control signalling protocol called ACOR Protocol (ACOR-P) to support the centralization and decentralization designs in this Thesis. Further, we propose an Extended ACOR (E-ACOR) which aggregates the VOPR of all trees that originate at the same CDP, and more session requests can be processed without synchronization when compared with ACOR. In addition, E-ACOR introduces a mechanism to efficiently track network congestion information to prevent unnecessary synchronization during congestion time when VOPRs would exhaust upon every session request. The performance evaluation through analytical and simulation results proves the superiority of E-ACOR in minimizing overall control signalling overhead while keeping all advantages of ACOR, that is, without incurring QoS violations or waste of resources. The last part of this Thesis includes the Survivable ACOR (SACOR) proposal to support stable operations of the QoS and network control mechanisms in case of failures and recoveries (e.g., of links and nodes). The performance results show flexible survivability characterized by fast convergence time and differentiation of traffic re-routing under efficient resource utilization i.e. without wasting bandwidth. In summary, the QoS and architectural control mechanisms proposed in this Thesis provide efficient and scalable support for network control key sub-systems (e.g., QoS and resource control, traffic engineering, multicasting, etc.), and thus allow for optimizing network overall control performance.

Innovation in tourism: the role of regional innovation systems

Esta tese tem como principal objetivo analisar as características, a importância e o papel da inovação territorial em turismo e o seu impacto no desenvolvimento dos destinos. Consiste num estudo multidisciplinar suportado numa exaustiva revisão da literatura sobre temas como desenvolvimento, inovação e modelos de inovação territorial. Com base nas principais conclusões de natureza conceptual, considerou-se o modelo dos sistemas regionais de inovação como o mais adequado para aplicação ao sistema turístico, e a constituição de redes como estruturas fundamentais para a sua operacionalização. A partir desta abordagem teórica, foi desenvolvido um quadro conceptual para a análise da inovação sistémica no sector do turismo. Esta abordagem permitiu a definição de um conjunto de hipóteses, as quais foram testadas através dos resultados da parte empírica da tese. Foram desenvolvidos dois estudos empíricos distintos, mas complementares nas regiões do Douro e de Aveiro. O primeiro teve como objetivo inquirir empresas turísticas, enquanto o segundo foi dirigido a instituições regionais com intervenção no sector do turismo ou na inovação. Os resultados obtidos conduziram a importantes conclusões sobre o desempenho das empresas e regiões em termos de inovação, os padrões de networking desenvolvidos no âmbito de processos de inovação, a importância do conhecimento existente nas regiões e os fatores específicos das mesmas para a inovação em turismo, a perceção das empresas turísticas sobre o ambiente de inovação e o seu contributo para a evolução e para o sucesso dos destinos turísticos. A tese recorre a uma abordagem quantitativa que inclui estatística descritiva e indutiva e ao método da análise de redes (sociometria). A combinação de métodos levou a importantes conclusões sobre a inovação em turismo, com uma focalização especial no que a relaciona com os sistemas regionais de inovação. As conclusões permitem avançar com um conjunto de implicações e sugestões para futuros projetos de investigação sobre o tema, bem como para a gestão dos destinos turísticos, uma vez que contribui para um maior e mais aprofundado conhecimento do fenómeno da inovação em turismo desenvolvida a nível regional. Os resultados demonstram que diferentes regiões apresentam sistemas regionais de inovação distintos. Assim, não existe um modelo único que possa ser aplicado indistintamente em todas as regiões. Contudo, as conclusões apontam para a existência de padrões e práticas que aperfeiçoam o seu funcionamento, aumentando o desempenho ao nível da inovação, bem como a competitividade global do destino.

All-optical routing functionalities

All-optical solutions for switching and routing packet-based traffic are crucial for realizing a truly transparent network. To meet the increasing requirements for higher bandwidth, such optical packet switched networks may require the implementation of digital functions in the physical layer. This scenario stimulated us to research and develop innovative high-speed all-optical storage memories, focusing mainly on bistables whose state switching is triggered by a pulsed clock signal. In clocked devices, a synchronization signal is responsible for controlling the enabling of the bistable. This thesis also presents novel solutions to implement optical logic gates, which are basic building blocks of any processing system and a fundamental element for the development of complex processing functionalities. Most of the proposed schemes developed in this work are based on SOA-MZI structures due to their inherent characteristics such as, high extinction ratio, high operation speed, high integration capability and compactness. We addressed the experimental implementation of an all-optical packet routing scheme, with contention resolution capability, using interconnected SOAMZIs. The impact on the system performance of the reminiscent power of the blocked packets, from the non ideal switching performed by the SOA-MZIs, was also assessed.

Determinação e aplicações dos frutooligossacarídeos de Yacon (Smallanthus sonchifolius)

Torna-se cada vez mais importante fortalecer o vínculo entre o setor agrário, as universidades e o setor industrial. Através de estudos científicos pode-se aprimorar a produção agrícola, valorizar comercialmente os produtos manufaturados e permitir usos biotecnológicos anteriormente indisponíveis. Este trabalho ambicionou gerar dados que incentivassem e permitissem o suporte técnico-científico adequado ao pequeno e médio agricultor do litoral da Grande-Florianópolis, no estado de Santa Catarina (Brasil) viabilizando a exploração comercial das raízes de yacon (Smallanthus sonchifolius). Primeiro, o enfoque agronómico que objetivou ofertar dados científicos da adequação climática do plantio de yacon na região do litoral de Florianópolis (SC) com a finalidade de otimizar a produção e rentabilizá-la. Por cromatografia líquida de alta eficiência foram quantificados os valores de frutooligossacarídeos (fração de interesse, alimento funcional com efeito prebiótico), frutose, glucose e sacarose e avaliaram-se os efeitos diretos dos fatores climáticos na produção fazendo uso da análise multivariada para sua interpretação. Os resultados mostram que a produção de FOS não consegue atingir valores similares aos de outras regiões onde o yacon é explorado economicamente. Igualmente a produção de FOS parece ter uma grande dependência do clima, especialmente da amplitude térmica e da chuva. O segundo enfoque foi a possibilidade de exploração comercial, através de secagem em estufa. O processo de secagem, especialmente em amostras produzidas em condições climatológicas mais drásticas induzem modificações provocadas pela reacção de Maillard, como foi verificado por estudos de GCxGC-Tof-Ms e ESI-MS. O terceiro enfoque foi biotecnológico e consistiu em aproveitar frutooligossacarídeos comerciais para utilizá-los como matriz polimérica para produção de estruturas em escala nano e micrométrica através da eletropulverização. Foram observadas, nesta etapa, os aspetos morfológicos e as características das partículas formadas e a sua capacidade de servir como veículo transportador de compostos com características anti-oxidantes.

Characterization of water-soluble organic matter from urban aerosols

Water-soluble organic matter (WSOM) from atmospheric particles comprises a complex array of molecular structures that play an important role on the physic-chemical properties of atmospheric particles and, therefore, are linked to several global-relevant atmospheric processes which impact the climate and public health. Due to the large variety of sources and formation processes, adequate knowledge on WSOM composition and its effects on the properties of atmospheric aerosol are still limited. Therefore, this thesis aims at providing new insights on the molecular composition of WSOM from fine atmospheric aerosols typical of an urban area (Aveiro, Portugal). In a first step, adsorption phenomena of semivolatile organic compounds on quartz fibre filters employed in the collection of atmospheric aerosols were assessed. Afterwards, atmospheric aerosol samples were collected during fifteen months, on a weekly basis. A mass balance of aerosol samples was performed in order to set the relative contribution of elemental carbon, WSOM and water-insoluble organic matter to the aerosol mass collected at the urban area of Aveiro, with a special focus on the assessment of the influence of different meteorological conditions. In order to assess the chemical complexity of the WSOM from urban aerosols, their structural characteristics were studied by means of Fourier transform infrared infrared - Attenuated Total Reflectance (FTIR-ATR) and solid-state cross polarization with magic angle spinning 13C nuclear magnetic resonance (CPMAS 13C NMR) spectroscopies, as well as their elemental composition. The structural characterization of aerosol WSOM samples collected in the urban area highlighted a highly complex mixture of functional groups. It was concluded that aliphatic and aromatic structures, hydroxyl groups and carboxyl groups are characteristic to all samples. The semi-quantitative assessment of the CPMAS 13C NMR data showed different distributions of the various functional groups between the aerosol samples collected at different seasons. Moreover, the presence of signals typical of lignin-derived structures in both CPMAS 13C NMR and FTIR-ATR spectra of the WSOM samples from the colder seasons, highlights the major contribution of biomass burning processes in domestic fireplaces, during low temperature conditions, into the bulk chemical properties of WSOM from urban aerosols. A comprehensive two-dimensional liquid chromatography (LC x LC) method, on-line coupled to a diode array, fluorescence, and evaporative light scattering detectors, was employed for resolving the chemical heterogeneity of the aerosol WSOM samples and, simultaneously, to map the hydrophobicity versus the molecular weight distribution of the samples. The LC x LC method employed a mixed-mode hydrophilic interaction column operating under aqueous reversed phase mode in the first dimension, and a size-exclusion column in the second dimension, which was found to be useful for separating the aerosol WSOM samples into various fractions with distinct molecular weight and hydrophobic features. The estimative of the average molecular weight (Mw) distribution of the urban aerosol WSOM samples ranged from 48 to 942 Da and from 45 to 1241 Da in terms of UV absorption and fluorescence detection, respectively. Findings suggest that smaller Mw group fractions seem to be related to a more hydrophobic nature.

Novos materiais com polioxotungstatos substituídos com metais d e f

The present work reports studies on the new compounds obtained by the combination of polyoxoanions derived from the Keggin and Lindquist structures with several cations. The studies were first focused on the monolacunary Keggin polyoxoanions [PW11O39M(H2O)]n- (M = FeIII, MnIII and n = 4; M = CoII and n = 5) and its combination with the organic cation 1-butyl-3-methylimidazolium (Bmim+). The association of Bmim+ cation with the polyoxoanion [PW11O39Fe(H2O)]4- allowed to isolate for the first time both the monomeric and the dimeric [PW11O39Fe)2O]10- anions, with the same cation and using simple bench techniques by pH manipulation. Studies regarding the stability of these inorganic species in solution indicated that both species are present in solution in equilibrium. However, the inability to up until now isolate the dimeric unit through simple bench methods, lead to the hypothesis that the cation had a role to play in the selective precipitation of either the monomer or the dimer. Repetition of the same procedures with the polyoxoanions [SiW11O39Fe(H2O)]5- and [PW11O39M(H2O)]n- (M = FeIII, MnIII and n = 4; M = Co and n = 5), afforded only the corresponding monomeric compounds, (Bmim)5[SiW11O39FeIII(H2O)]· 4H2O (3), (Bmim)5[PW11O39CoII(H2O)]· 0.5 H2O, (4) and (Bmim)5[PW11O39MnIII(H2O)]· 0.5 H2O (5). Moreover, the combination of Bmim+ and the polyoxotungstate [PW11O39Co(H2O)]5- afforded two different crystal structures, depending on the synthetic conditions. Thus, a ratio Bmim+:POM of 5:1 and the presence of K+ cations (due to addition of KOH) led to a formula Na2K(Bmim)2[PW11.2O39Co0.8(H2O)]·7H2O (4a), whilst a ratio Bmim:POM of 7:1 led to the formation of a crystal with the chemical formula Na2(Bmim)8[PW11O39Co(H2O)]2·3H2O (4b). Electrochemical studies were performed with carbon paste electrodes modified with BmimCl to investigate the influence of the Bmim+ cation in the performance of the electrodes. The voltametric measurements obtained from solutions containing the anions [PW11O39]7- and [SiW11O39]8- are presented. Results pointed to an improvement of the acquired voltametric signal with a slight addition of BmimCl (up to 2.5% w/w), specially in the studies regarding pH variation. Additional synthesis were carried out with both the cations Omim+ and THTP+.

Phthalocyanines : interaction with carbon structures and as PDT agents

This dissertation describes the synthesis and characterization of different phthalocyanine (Pc) derivatives, as well as some porphyrins (Pors), for supramolecular interaction with different carbon nanostructures, to evaluate their potential application in electronic nanodevices. Likewise, it is also reported the preparation and biological evaluation of interesting phthalocyanine conjugates for cancer photodynamic therapy (PDT) and microorganisms photodynamic inactivation (PDI). The phthalonitrile precursors were prepared from commercial phthalonitriles by nucleophilic substitution of -NO2, -Cl, or -F groups, present in the phthalonitrile core, by thiol or pyridyl units. After the synthesis of these phthalonitriles, the corresponding Pcs were prepared by ciclotetramerization using a metallic salt as template at high temperatures. A second strategy involved the postfunctionalization of hexadecafluorophthalocyaninato zinc(II) through the adequate substituents of mercaptopyridine or cyclodextrin units on the macrocycle periphery. The different compounds were structurally characterized by diverse spectroscopic techniques, namely 1H, 13C and 19F nuclear magnetic resonance spectroscopies (attending the elemental composition of each structure); absorption and emission spectroscopy, and mass spectrometry. For the specific photophysical studies were also used electrochemical characterization, femtosecond and raman spectroscopy, transmission electron and atomic force microscopy. It was highlighted the noncovalent derivatisation of carbon nanostructures, mainly single wall carbon nanotubes (SWNT) and graphene nanosheets with the prepared Pc conjugates to study the photophysical properties of these supramolecular nanoassemblies. Also, from pyridyl-Pors and ruthenium phthalocyanines (RuPcs) were performed Por-RuPcs arrays via coordination chemistry. The results obtained of the novel supramolecular assemblies showed interesting electron donor-acceptor interactions and might be considered attractive candidates for nanotechnological devices. On the other hand, the amphiphilic phthalocyanine-cyclodextrin (Pc-CD) conjugates were tested in biological trials to assess their ability to inhibit UMUC- 3 human bladder cancer cells. The results obtained demonstrated that these photoactive conjugates are highly phototoxic against human bladder cancer cells and could be applied as promising PDT drugs.

Velhice na cultura contemporânea: um estudo sobre a perda emocional profunda

A velhice é uma etapa da vida marcada por múltiplas perdas simbólicas e/ou concretas que, embora se apresentem inelutáveis e façam parte integrante do ciclo da vida, são, para o sujeito que as vivencia, experiências penosas que obrigam a novas formas de existir. As sociedades contemporâneas, sociedades hedonistas onde a morte é tabu e o tempo um bem precioso, condicionam amplamente a forma como as pessoas idosas, especialmente as institucionalizadas, lidam com a perda, uma vez que este processo implica a aceitação de uma nova vida e a (re)estruturação da identidade própria. Não alheias ao condicionamento social, a cultura e as mundividências culturais afetam, de forma decisiva, o modo como a adaptação à perda decorre na quotidianidade das instituições de acolhimento para pessoas idosas. A presente investigação, elaborada no âmbito dos Estudos Culturais, assume um carácter qualitativo, com contornos etnográficos, e analisa 15 “mini-histórias” de vida de indivíduos com mais de 75 anos de idade, residentes em estruturas residenciais, e que sofreram uma perda emocional profunda por morte do cônjuge, já na idade adulta avançada. Num momento em que a institucionalização permanente em estruturas de acolhimento é uma das respostas sociais mais utilizadas pelos indivíduos idosos e suas famílias, procuramos, com este estudo, conhecer as condições críticas presentes na interiorização de um perfil adaptativo ou não adaptativo à perda e que, consequentemente, condicionam a forma como se mobilizam as respostas adaptativas na (re)composição do quotidiano do sujeito idoso enlutado.

Thick-microstructures for MPGDs: simulations and experimental studies

Cherenkov Imaging counters require large photosensitive areas, capable of single photon detection, operating at stable high gains under radioactive backgrounds while standing high rates, providing a fast response and a good time resolution, and being insensitive to magnetic fields. The development of photon detectors based in Micro Pattern Gaseous detectors (MPGDs), represent a new generation of gaseous photon detectors. In particular, gaseous detectors based on stacked Thick-Gaseous Electron Multipliers (THGEMs), or THGEM based structures, coupled to a CsI photoconverter coating, seem to fulfil the requirements imposed by Cherenkov imaging counters. This work focus on the study of the THGEM-based detectors response as function of its geometrical parameters and applied voltages and electric fields, aiming a future upgrade of the Cherenkov Imaging counter RICH-1 of the COMPASS experiment at CERN SPS. Further studies to decrease the fraction of ions that reach the photocathode (Ion Back Flow – IBF) to minimize the ageing and maximize the photoelectron extraction are performed. Experimental studies are complemented with simulation results, also perfomed in this work.

Seismic vulnerability assessment of slender masonry structures

Slender masonry structures are distributed all over the world and constitute a relevant part of the architectural and cultural heritage of humanity. Their protection against earthquakes is a topic of great concern among the scientific community. This concern mainly arises from the strong damage or complete loss suffered by this group of structures due to catastrophic events and the need and interest to preserve them. Although the great progress in technology, and in the knowledge of seismology and earthquake engineering, the preservation of these brittle and massive structures still represents a major challenge. Based on the research developed in this work it is proposed a methodology for the seismic risk assessment of slender masonry structures. The proposed methodology was applied for the vulnerability assessment of Nepalese Pagoda temples which follow very simple construction procedure and construction detailing in relation to seismic resistance requirements. The work is divided in three main parts. Firstly, particular structural fragilities and building characteristics of the important UNESCO classified Nepalese Pagoda temples which affect their seismic performance and dynamic properties are discussed. In the second part the simplified method proposed for seismic vulnerability assessment of slender masonry structures is presented. Finally, the methodology proposed in this work is applied to study Nepalese Pagoda temples, as well as in the efficiency assessment of seismic performance improvement solution compatible with original cultural and technological value.

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.

Numerical tools for isogeometric analysis in the nonlinear regime

The present work deals with the development of robust numerical tools for Isogeometric Analysis suitable for problems of solid mechanics in the nonlinear regime. To that end, a new solid-shell element, based on the Assumed Natural Strain method, is proposed for the analysis of thin shell-like structures. The formulation is extensively validated using a set of well-known benchmark problems available in the literature, in both linear and nonlinear (geometric and material) regimes. It is also proposed an alternative formulation which is focused on the alleviation of the volumetric locking pathology in linear elastic problems. In addition, an introductory study in the field of contact mechanics, in the context of Isogeometric Analysis, is also presented, with special focus on the implementation of a the Point-to-Segment algorithm. All the methodologies presented in the current work were implemented in a in-house code, together with several pre- and post-processing tools. In addition, user subroutines for the commercial software Abaqus were also implemented.