Pelo fato da maioria das mortes e morbidades associadas à gravidez ocorrerem em torno do parto, a qualidade do cuidado nesse período é crucial para as mães e seus bebês. Para acompanhar as mulheres nessa etapa, o partograma tem sido a ferramenta mais utilizada nas últimas décadas e, devido à sua simplicidade, é frequentemente usado em países com baixa e média renda. No entanto, sua utilização é altamente questionada devido à ausência de evidências que justifiquem uma contribuição ao parto. Para melhorar a qualidade do parto nessas circunstâncias, o projeto BOLD tem sido desenvolvido com o intuito de reduzir a ocorrência de problemas indesejados e com a finalidade desenvolver uma ferramenta moderna, chamada de SELMA, que projetase como uma alternativa ao partograma. Com a finalidade de associar características fixas e dinâmicas avaliadas no parto e identificar quais elementos intra parto podem ser utilizados como gatilhos para realização de uma intervenção e, assim, prevenir um desfecho indesejado, propomos nesta tese a utilização de modelos de sobrevivência com covariáveis dependentes do tempo. Inicialmente, consideramos a modelagem de dados longitudinais e de sobrevivência utilizando funções de risco paramétricas flexíveis. Nesse caso, propomos a utilização de cinco generalizações da distribuição Weibull, da distribuição Nagakami e utilizamos um procedimento geral de seleção de modelos paramétricos usuais via distribuição Gamma generalizada, inédito na modelagem conjunta. Realizamos um extenso estudo de simulação para avaliar as estimativas de máxima verossimilhança e os critérios de discriminação. Além disso, a própria natureza do parto nos leva a um contexto de eventos múltiplos, nos remetendo à utilização dos modelos multiestados. Eles são definidos como modelos para um processo estocástico que a qualquer momento ocupa um conjunto discreto de estados. De uma forma geral, são os modelos mais comuns para descrever o desenvolvimento de dados de tempo de falha longitudinais e são frequentemente utilizados em aplicações médicas. Considerando o contexto de eventos múltiplos, propomos a inclusão de uma covariável dependente do tempo no modelo multiestados a partir de uma modificação dos dados, o que nos trouxe resultados satisfatórios e similares ao esperado na prática clínica. / As most pregnancy-related deaths and morbidities are clustered around the time of child birth, the quality of care during this period is crucial for mothers and their babies. To monitor the women at this stage, the partograph has been the central tool used in recent decades and, motivated by its simplicity, is frequently used in low-and middle-income countries. However, its use is highly questioned due to lack of evidence to justify a contribution to labor. To improve the quality of labor in these circumstances, the BOLD project has been developed in order to reduce the occurrence of pregnancy-related problems and in order to develop a modern tool, called SELMA, which is projected as an alternative to partograph. Aiming to associate fixed and dynamic characteristics evaluated in the delivery and to identify which elements can be used as triggers for performing an intervention, and thus preventing a bad outcome, this thesis proposes the use of survival models with time dependent covariates. Initially, we consider the joint modeling of survival and longitudinal data using flexible parametric hazard functions. In this sense, we propose the use of five generalizations of Weibull distribution, the Nagakami model and an inedited framework to discriminate usual parametric models via the generalized Gamma distribution, performing an extensive simulation study to evaluate the maximum likelihood estimations and the proposed discrimination criteria. Indeed, by its own nature, the birth leads us to a context of multiple events, referring to the use of multi-state models. These are models for a stochastic process which at any time occupies one of a few possible states. In general, they are the most common models to describe the development of longitudinal failure time data and are often used in medical applications. Considering this context, we proposed the inclusion of a time dependent covariate in the multi-state model using a modified version of the input data, which gave us satisfactory results similar to those expected in clinical practice.

O sistema estrutural de pisos com lajes mistas, também chamadas de lajes com fôrma de aço incorporada e popularmente conhecido como steel deck®, é de desenvolvimento recente no Brasil e tem ganhado espaço na indústria da construção civil. Pesquisas internacionais recentes têm mostrado que os efeitos da retração não-uniforme, da fluência e da fissuração são significativos para a evolução dos deslocamentos verticais. No entanto, não há referências na literatura nacional de investigações sobre o tópico, como é usual para as estruturas de concreto armado. Desta forma, o presente trabalho tem como foco estudar o comportamento em serviço de lajes mistas de aço e concreto, com ênfase nos deslocamentos verticais (flechas) diferidos no tempo. São considerados os efeitos da retração e da fluência do concreto, além da interação entre o perfil de aço e o concreto. Um programa experimental exploratório com dois protótipos de lajes mistas idênticas, uma submetida a um carregamento imposto e outra sujeita apenas ao peso próprio, submetidos a um ensaio de longa duração de 260 dias. Os deslocamentos foram medidos diariamente e as condições de temperatura e umidade do ambiente foram monitoradas. Observou-se a evolução das flechas diferidas ao longo dos 260 dias na ordem de 3,20 vezes maior que as flechas imediatas. Ensaios de flexão a quatro pontos foram realizados com as duas lajes submetidas ao ensaio de longa duração e a outras duas com idade de 28 dias, não sendo observado influência do tempo quanto à capacidade resistente das lajes mistas. Finalmente, abordagens analíticas de previsão de flechas foram aplicadas aos protótipos testados e também a outros modelos experimentais presentes na literatura. Os valores previstos por diferentes abordagens de avaliação foram comparados aos resultados experimentais, observando-se que as abordagens que não levam em conta os efeitos da retração não-uniforme e fluência tendem a subestimar a previsão. As abordagens com consideração dos efeitos diferidos apresentaram boa acurácia e destaca-se a importância da consideração dos efeitos dependentes do tempo na previsão dos deslocamentos verticais das lajes estudadas. / The structural floor system using steel-concrete composite slabs also called slabs with profiled steel decking and popularly known as steel deck®, has a recent development in Brazil and has taken space in the civil construction industry. Recent international researches have shown that non-uniform shrinkage, creep and cracking are significant for the time-dependent deflections of those slabs. However, there is no reference in the Brazilian literature of any study investigating the time-dependent behavior of composite slabs, as it is usual for reinforced concrete structures. So, this work focuses on the study of the in-service behavior of steel-concrete composite slabs under long-term conditions. The main emphasis lies on considering the time-dependent effects due to concrete shrinkage and creep, besides the influence of the steel-concrete interaction to calculate the slabs deflections. An exploratory experimental program with two prototypes of identical composite slabs, one subjected to an imposed loading and another subject only to self-weight, submitted to the 260-day long test. During all testing time, they were taken daily measurements of deflection and temperature and humidity conditions were monitored to understand its influence. The time-dependent deflections during the 260-days on the order of 3.20 times greater than the instantaneous deflection were observed. Four-point bending tests were performed with the two slabs submitted to the long-duration test 260-day and two others with a 28-day age. No influence of time was observed on the resistant capacity of composite slabs. Finally, analytical approaches to predict the deflections of the slabs were applied to the prototypes tested and other experimental tests from the literature. The calculated values by different evaluation approaches were compared to the experimental results. The evaluation approaches that do not take into account the effects of non-uniform shrinkage and creep tend to underestimate the previsions. The evaluation approaches considering the time-dependent effects presented good accuracy. The importance of the time-dependent effects for the deflections is demonstrated.

Eine Methode zur Lösung der zeitabhängigen Schrödingergleichung (engl. time-dependent Schrödinger equation, TDSE) wurde entwickelt, welche das Verhalten der Elektronenbewegung in Molekülen beschreibt, die ultrakurzen, intensiven Laserpulsen ausgesetzt werden. Die zeitabhängigen elektronischen Wellenfunktionen werden durch eine Superposition von feldfreien Eigenzuständen beschrieben, welche auf zwei Weisen berechnet werden. Im ersten Ansatz , welcher auf Zweielektronen-Systeme wie H$_2$ anwendbar ist, werden die voll korrelierten feldfreien Eigenzustände in voller Dimensionalität in einem Konfigurations-Wechselwirkungs Verfahren (engl. configuration interaction, CI) bestimmt, wobei die Einelektron-Basisfunktionen mit B-Splines beschrieben werden. Im zweiten Verfahren, welches sogar auf größere Moleküle anwendbar ist, werden die feldfreien Eigenzustände in der Näherung eines aktiven Elektrons (engl. single active electron, SAE) mit Verwendung der Dichtefunktionaltheorie (DFT) bestimmt. Im Allgemeinen kann die Methode zum Auffinden der zeitabhängigen Lösung in zwei Schritte, dem Auffinden der feldfreien Eigenzustände und einer Zeitpropagation in Abhängigkeit der Laserpuls-Parameter, unterteilt werden. Die Gültigkeit der SAE Näherung ist überprüft und die Ergebnisse für grund und erste angeregte zustand der Wasserstoff-Molekül werden vorgestellt. Die Ergebnisse für einige größere Moleküle innerhalb der SAE Angleichung werden ebenfalls gezeigt. / A method for solving the time-dependent Schrödinger equation (TDSE) describing the electronic motion of the molecules exposed to very short intense laser pulses has been developed. The time-dependent electronic wavefunction is expanded in terms of a superposition of field-free eigenstates. The field-free eigenstates are calculated in two ways. In the first approach, which is applicable to two electron systems like hydrogen molecule, fully correlated field-free eigenstates are obtained in complete dimensionality using configuration-interaction calculation where the one-electron basis functions are built from B-splines. In the second approach, which is even applicable to larger molecules, the field-free eigenstates are calculated within the single-active-electron (SAE) approximation using density functional theory. In general, the method can be divided into two parts, in the first part the field-free eigenstates are calculated and then in the second part a time propagation for the laser pulse parameters is performed. Using these methods the validity of SAE approximation is tested and the results for the ground and first excited state of hydrogen molecule are presented. The results for some larger molecules within the SAE approximation are also shown.

Ein neuer numerischer ab initio Ansatz wurde entwickelt und zur Lösung der zeitabhängigen Schrödingergleichung für zweiatomig Moleküle mit zwei Elektronen (z.B. molekularer Wasserstoff), welche einem intensiven kurzen Laserpuls ausgesetzt sind, angewandt. Die Methode basiert auf der Näherung fester Kernabstände und der nicht-relativistischen Dipolnäherung und beabsichtigt die genaue Beschreibung der beiden korrelierten Elektronen in voller Dimensionalität. Die Methode ist anwendbar für eine große Bandbreite von Laserpulsparamtern und ist in der Lage, Einfachionisationsprozesse sowohl mit wenigen als auch mit vielen Photonen zu beschreiben, sogar im nicht-störungstheoretischen Bereich. Ein entscheidender Vorteil der Methode ist ihre Fähigkeit, die Reaktion von Molekülen mit beliebiger Orientierung der molekularen Achse im Bezug auf das linear polarisierte Laserfeld in starken Feldern zu beschreiben. Dementsprechend berichtet diese Arbeit von der ersten erfolgreichen orientierungsabhängigen Analyse der Multiphotonenionisation von H2, welche mit Hilfe einer numerischen Behandlung in voller Dimensionalität durchgeführt wurde. Neben der Erforschung des Bereichs weniger Photonen wurde eine ausführliche numerische Untersuchung der Ionisation durch ultrakurze frequenzverdoppelte Titan:Saphir-Laserpulse (400 nm) präsentiert. Mit Hilfe einer Serie von Rechnungen für verschiedene Kernabstände wurden die totalen Ionisationsausbeuten für H2 und D2 in ihren Vibrationsgrundzuständen sowohl für parallele als auch für senkrechte Ausrichtung erhalten. Eine weitere Serie von Rechnungen für 800nm Laserpulse wurde benutzt, um ein weitverbreitetes einfaches Interferenzmodel zu falsifizieren. Neben der Diskussion der numerischen ab initio Methode werden in dieser Arbeit verschiedene Aspekte im Bezug auf die Anwendung der Starkfeldnäherung für die Erforschung der Reaktion eines atomaren oder molekularen Systems auf ein intensives Laserfeld betrachtet. / A novel ab initio numerical approach is developed and applied that solves the time-dependent Schrödinger equation describing two-electron diatomic molecules (e.g. molecular hydrogen) exposed to an intense ultrashort laser pulse. The method is based on the fixed-nuclei and the non-relativistic dipole approximations and aims to accurately describe both correlated electrons in full dimensionality. The method is applicable for a wide range of the laser pulse parameters and is able to describe both few-photon and many-photon single ionization processes, also in a non-perturbative regime. A key advantage of the method is its ability to treat the strong-field response of the molecules with arbitrary orientation of the molecular axis with respect to the linear-polarized laser field. Thus, this work reports on the first successful orientation-dependent analysis of the multiphoton ionization of H2 performed by means of a full-dimensional numerical treatment. Besides the investigation of few-photon regime, an extensive numerical study of the ionization by ultrashort frequency-doubled Ti:sapphire laser pulses (400 nm) is presented. Performing a series of calculations for different internuclear separations, the total ionization yields of H2 and D2 in their ground vibrational states are obtained for both parallel and perpendicular orientations. A series of calculations for 800nm laser pulses are used to test a popular simple interference model. Besides the discussion of the ab initio numerical method, this work considers different aspects related to the application of the strong-field approximation (SFA) for investigation of a strong-field response of an atomic and molecular system. Thus, a deep analysis of the gauge problem of SFA is performed and the quasistatic limit of the velocity-gauge SFA ionization rates is derived. The applications of the length gauge SFA are examined and a recently proposed generalized Keldysh theory is criticized.

Die Kerne aktiver Galaxien (AGNs) und einige galaktische Objekte wie z.B. Supernovaüberreste gelten als vielversprechende Kandidaten für die Quellen der hochenergetischen kosmischen Strahlung. Der Nachweis der Emission von hochenergetischen Neutrinos von diesen Objekten wäre ein starker Hinweis für die Beschleunigung von Protonen oder schwereren Kernen. Bisher wurde jedoch keine Punktquelle hochenergetischer Neutrinos identifiziert. Durch die Beobachtung aktiver galaktischer Kerne mit gamma-Strahlung im TeV-Bereich ist bekannt, dass die Emission von AGNs zeitlich extrem variabel ist. Modelle sagen vorher, dass auch die Neutrinoemission diese Variabilität aufweist. Um im Falle der Detektion zeitabhängiger Neutrinoemission von AGNs möglichst viel über den Emissionsmechanismus zu lernen, ist es entscheidend, Daten verschiedener Energiebereiche und Botenteilchen (Neutrinos und Photonen) zur Verfügung zu haben. Durch das beschränkte Gesichtsfeld und den geringen Duty-Cycle der TeV-gamma Instrumente, können diese jedoch nicht alle potentiell interessanten Quellen lückenlos überwachen. Diese Arbeit beschreibt die Entwicklung und die ersten Resultate eines Systems, dass Daten des Neutrinoteleskops IceCube direkt am Südpol analysiert, um Alarme an die TeV-Teleskope MAGIC und VERITAS zu senden, falls eine erhöhte Neutrinoemission eines überwachten Objekts detektiert wird. Der Katalog überwachter Objekte, der im ersten Jahr dieses Programms aktiv war, umfasste 109 Objekte in der nördlichen Himmelshemisphäre (delta>0). Das System befindet sich seit März 2012 kontinuierlich Betrieb und hat von Mai 2012 bis Mai 2013 fünf Alarme generiert. Ein Alarm am 9.November 2012 resultierte in einer Folgebeobachtung durch die VERITAS-Teleskope. Es wurde kein signifikanter gamma-Fluss im TeV-Bereich detektiert. Weiterhin werden Verbesserungen der IceCube Online-Analysemethode beschrieben, die die Sensitivität des vorgestellten Programms in naher Zukunft weiter verbessern werden. / Active Galactiv Nuclei (AGN) and galactic objects like e.g. supernova remnants are promising candidates for the sources of the high-energy cosmic rays. The detection of high-energy neutrinos from these objects would be a strong hint for the acceleration of protons or heavier nuclei. No source of high-energy astrophysical neutrinos has been identified up to now. From the observation of AGN with TeV gamma-rays it is known that their emission is highly variable. Models predict that also the neutrino emission should show that variability. If time-dependent neutrino emission would be detected it would be desirable to have simultaneous data for different messengers (neutrinos and photons) and energy ranges, to learn as much as possible about the emission mechanism. However, due to the small field of view and the low duty cycle of the TeV gamma instruments, not all interesting sources can be continuously monitored. This work describes the development and the first results of a system, that analyses data of the IceCube neutrino telescope online at the South Pole, in order to send alerts to the TeV telescopes MAGIC and VERITAS in case a statistically interesting cluster of neutrinos is detected from an monitored source. This program is termed the Neutrino Triggered Target of Opportunity program (NToO). The catalog of sources monitored during the first year of operation contained 109 objects in the northern sky (delta>0). The system has been continuously operated since March 2012 and has sent five alerts between May 2012 and May 2013. One alarm issued on 9 November 2012 resulted in a follow-up observation by the VERITAS telescopes. No significant TeV-gamma flux has been detected. Improvements to the IceCube online analysis are described that will further improve the sensitivity of the NToO in the near future.

A utilização de concreto projetado como suporte de túneis é uma prática amplamente difundida no mundo inteiro. Este tipo material possui a característica de começar a agir estruturalmente desde pequenas idades. Apesar disso, os correntes processos de dimensionamento de suportes negligenciam o desenvolvimento de suas propriedades com o tempo, em acoplamento aos efeitos tridimensionais da região onde se localiza a frente de escavação. O presente trabalho tem a finalidade de relatar os procedimentos utilizados na análise da influência de alguns parâmetros da interação maciço - suporte, sobre os esforços solicitantes finais do suporte de um túnel, tanto para o caso de concreto projetado, com suas propriedades dependentes do tempo, quanto para materiais com propriedades constantes. São elaboradas soluções adimensionais para o problema da quantificação de esforços solicitantes de compressão e flexão no suporte. A maioria das simulações realizadas para atingir essa meta foi conduzida com auxílio de técnicas de processamento paralelo. / Shotcrete has been more and more used worldwide for tunnel support. This kind of material has the characteristics of starting to act structurally since early ages. Nevertheless, the current processes of support design neglect the development of its properties after some time in connection to the 3D effects of the region where the face of the tunnel is located. The present work relates the procedures adopted in analyzing the influence of some ground-support interaction parameters on the support structure internal forces of a tunnel, not only when shotcrete is used, with its time-dependent properties, but for materials with constant properties as well. Dimensionless solutions are developed for the support thrust and bending moments quantification problem. Most of the numerical simulations performed to reach this purpose were carried out by means of parallel processing techniques.

A análise de dados de sobrevivência tem sido tradicionalmente baseada no modelo de regressão de Cox (COX, 1972). No entanto, a suposição de taxas de falha proporcionais assumida para esse modelo pode não ser atendida em diversas situações práticas. Essa restrição do modelo de Cox tem gerado interesse em abordagens alternativas, dentre elas os modelos dinâmicos que permitem efeito das covariáveis variando no tempo. Neste trabalho, foram revisados os principais modelos de sobrevivência dinâmicos com estrutura aditiva e multiplicativa nos contextos não paramétrico e semiparamétrico. Métodos gráficos baseados em resíduos foram apresentados com a finalidade de avaliar a qualidade de ajuste desses modelos. Uma versão tempo-dependente da área sob a curva ROC, denotada por AUC(t), foi proposta com a finalidade de avaliar e comparar a qualidade de predição entre modelos de sobrevivência com estruturas aditiva e multiplicativa. O desempenho da AUC(t) foi avaliado por meio de um estudo de simulação. Dados de três estudos descritos na literatura foram também analisados para ilustrar ou complementar os cenários que foram considerados no estudo de simulação. De modo geral, os resultados obtidos indicaram que os métodos gráficos apresentados para avaliar a adequação dos modelos em conjunto com a AUC(t) se constituem em um conjunto de ferramentas estatísticas úteis para o próposito de avaliar modelos de sobrevivência dinâmicos nos contextos não paramétrico e semiparamétrico. Além disso, a aplicação desse conjunto de ferramentas em alguns conjuntos de dados evidenciou que se, por um lado, os modelos dinâmicos são atrativos por permitirem covariáveis tempo-dependentes, por outro lado podem não ser apropriados para todos os conjuntos de dados, tendo em vista que estimação pode apresentar restrições para alguns deles. / Analysis of survival data has been traditionally based on the Cox regression model (COX, 1972). However, the proportionality of the hazards required by this model may not be attended for many practical situations. This restriction of the Cox model has generated interest in alternative approaches, among them dynamic models that allow covariates with time-varying effect. In this work, the main dynamic survival models with additive and multiplicative structures were revised under the nonparametric and semiparametric settings. Graphical methods based on residuals were presented in order to evaluate the goodness-of-fit of these models. A time-dependent version of the area under the ROC curve, denoted by AUC(t), was proposed to evaluate and compare the predictive accuracy of additive and multiplicative survival models. The performance of the AUC(t) was evaluated by means of a simulation study. Data from three studies described in the literature were also analyzed to illustrate or complement the scenarios that were considered in the simulation study. Overall, the results indicate that the graphical methods presented to assess the goodness-of-fit of the models together with the AUC(t) provide a useful set of statistics tools for the purpose of evaluating dynamic survival models in the nonparametric and semiparametric settings. Moreover, applying this set of tools in some data sets showed that on the one hand dynamic models are attractive because they allow time-dependent covariates, but on the other hand they may not be appropriate for all data sets since estimation may present restrictions for some of them.

O câncer de pele se apresenta como um sério problema de saúde pública mundial, sendo incidente nos cinco continentes. As ações relacionadas à prevenção dessa doença envolvem, entre outras coisas, a utilização de protetores solares e a educação em saúde. Em virtude do aumento do número de indivíduos com câncer de pele a cada ano, é de grande valor estudos de entendimento e desenvolvimento de filtros solares melhores e mais seguros. Os produtos utilizados com a finalidade de proteger a pele dos raios solares ultravioletas (UV) possuem em sua composição filtros solares, que podem ter ação física, refletindo e dissipando a radiação UV; ou ação química, absorvendo a radiação UV. Os filtros químicos podem apresentar absorção em UVB (290-320 nm), UVA (320-400 nm) ou em ambas as faixas, sendo considerados de amplo espectro. . Dentre as várias classes de compostos com perfil de filtro solar UVB, os cinamatos destacam-se por apresentarem boa eficácia e excelente custo-benefício. A aplicação de cálculos teóricos tornou-se indispensável no planejamento de fármacos e nos estudos de mecanismo de ação de moléculas bioativas, visto a diminuição de tempo e custos em pesquisa e desenvolvimento. O desenvolvimento de métodos quânticos robustos, como o TD-DFT, permitiu a simulação de propriedades experimentais in silico, tais como espectros de RMN e UV. Diante deste panorama, aplicamos tal método na simulação de espectros UV para os cinamatos com perfil de filtros solares. Realizou-se uma busca do melhor funcional para simulação dos espectros, na qual se determinou que os funcionais B3LYP e B3P86 apresentaram melhores resultados quando comparados ao espectro experimental do composto p-metoxicinamato de etilexila determinado em metanol. Foram simulados os espectros de UV para sete compostos derivados do ácido cinâmico, os quais apresentaram λ máximo próximo a 310 nm, como descrito na literatura. Observou-se que a energia média para que ocorra a principal transição eletrônica, de HOMO para LUMO, é de 3,95 eV. O método mostrou-se adequado para a determinação de espectros UV para a classe dos cinamatos e pode ser utilizado na busca de novos compostos dessa classe a serem empregados como filtros solares. / Skin cancer presents itself as a very serious world public health problem, being incident all over the five continents. Using sunscreen and receiving health education, among other factors, are related to prevent the disease. The number of people with skin cancer increases every year, therefore, studies for better knowledge and development for better and safer sunscreens are crucial. Products used with the intention to protect the skin from ultraviolet sunrays (UV) are partially composed by sunscreen, which may lead to two different reactions, a physical reaction, that reflects and ceases the UV radiation; or a chemical reaction, that absorbs the UV radiation. Chemical filters may present absorption in UVB (290-320 nm), UVA (320 400 nm) or in both, which is considered as broad spectrum. Among the various types of compound forms with sunscreen UVB profile, cinnamates stand out for presenting good efficiency and excellent cost-benefit. The application of theoretical calculations became essential for drug design and bioactive molecules action mechanism studies, considering time saving and costs in research and development. The development of robust quantum method, such as TD-DFT allowed the simulation of experimental properties in silico, like RMN and UV spectra. Given this overview, this method was applied to simulate UV spectra of cinnamates with sunscreen profile. A search was done to define the best functional to simulate all spectrum, where the functionals B3LYP and B3P86 showed the best results when compared to experimental spectra of the compound ethylhexyl methoxycinnamate determined in methanol. An UV spectrum simulation for seven compounds derived from cinnamic acid showed maximum wavelength around to 310 nm, as described in the literature. It was observed that the average energy for the main electronic transition, HOMO to LUMO, is 3,95 eV. The method proved to be adequate for the determination of UV spectra for cinnamate class and it can be used as a tool on the search for new compounds from this class to be used as sunscreen.

Trabecular bone is a porous composite material which consists of a mineral phase (mainly hydroxyapatite), organic phase (mostly type I collagen) and water assembled into a complex, hierarchical structure. In biomechanical modelling, its mechanical response to loads is generally assumed to be instantaneous, i.e. it is treated as a time-independent material. It is, however, recognised that the response of trabecular bone to loads is time-dependent. Study of this time-dependent behaviour is important in several contexts such as: to understand energy dissipation ability of bone; to understand the age-related non-traumatic fractures; to predict implant loosening due to cyclic loading; to understand progressive vertebral deformity; and for pre-clinical evaluation of total joint replacement. To investigate time-dependent behaviour, bovine trabecular bone samples were subjected to compressive loading, creep, unloading and recovery at multiple load levels (corresponding to apparent strain of 2,000-25,000 με). The results show that: the time-dependent behaviour of trabecular bone comprises of both recoverable and irrecoverable strains; the strain response is nonlinearly related to applied load levels; and the response is associated with bone volume fraction. It was found that bone with low porosity demonstrates elastic stiffening followed by elastic softening, while elastic softening is demonstrated by porous bone at relatively low loads. Linear, nonlinear viscoelastic and nonlinear viscoelastic-viscoplastic constitutive models were developed to predict trabecular bone's time-dependent behaviour. Nonlinear viscoelastic constitutive model was found to predict the recovery behaviour well, while nonlinear viscoelastic-viscoplastic model predicts the full creep-recovery behaviour reasonably well. Depending on the requirements all these models can be used to incorporate time-dependent behaviour in finite element models. To evaluate the contribution of the key constituents of trabecular bone and its microstructure, tests were conducted on demineralised and deproteinised samples. Reversed cyclic loading experiments (tension to compression) were conducted on demineralised trabecular bone samples. It was found that demineralised bone exhibits asymmetric mechanical response - elastic stiffening in tension and softening in compression. This tension to compression transition was found to be smooth. Tensile multiple-load-creep-unload-recovery experiments on demineralised trabecular samples show irrecoverable strain (or residual strain) even at the low stress levels. Demineralised trabecular bone samples demonstrate elastic stiffening with increasing load levels in tension, and their time-dependent behaviour is nonlinear with respect to applied loads . Nonlinear viscoelastic constitutive model was developed which can predict its recovery behaviour well. Experiments on deproteinised samples showed that their modulus and strength are reasonably well related to bone volume fraction. The study considers an application of time-dependent behaviour of trabecular bone. Time-dependent properties are assigned to trabecular bone in a bone-screw system, in which the screw is subjected to cyclic loading. It is found that separation between bone and the screw at the interface can increase with increasing number of cycles which can accentuate loosening. The relative larger deformation occurs when this system to be loaded at the higher loading frequency. The deformation at the bone-screw interface is related to trabecular bone's bone volume fraction; screws in a more porous bone are at a higher risk of loosening.

Condensação de Bose-Einstein é um fenômeno quântico que pode ser observado macroscopicamente. Para a sua obtenção são necessários aprisionamentos externos, porém a presença desses leva ao colapso da função de onda. As interações de longo alcance são propostas como uma forma alternativa ao confinamento externo, um vez que podem prevenir o colapso da função de onda. Neste trabalho será apresentada uma revisão sobre os estudos de condensados de Bose-Einstein. Também, será buscada a solução aproximada da equação de Schrödinger não linear e não-local, a qual descreve condensados de Bose-Einstein com auto-interações de longo alcance. Para isso, será suposta uma forma espacial da função de onda, permitindo o tratamento analítico do sistema dinâmico resultante. Ao fim, por meio do método variacional dependente do tempo, será demonstrado que existem soluções estáveis para a função de onda sujeito a interações de longo alcance na forma gaussiana e gravitacional. / Bose-Einstein condensation is a quantum phenomenon that can be observed macroscopically. External trappings are required to obtain them, however the presence of these leads to the collapse of the wave function. Long-range interactions are proposed as an alternative to external confinement, since they can prevent the collapse of the wave function. In this work a review will be presented on the Bose-Einstein condensate studies. Also, we review the approximate solution of the non-linear and non-local Schrödinger equation, which describes Bose-Einstein condensates with long-range auto-interactions. For this, a spatial form of the wave function will be assumed, allowing the analytical treatment of the system. Finally, through the time-dependent variational method, it will be demonstrated that there are stable solutions for the wave function subject to long-range interactions in gaussian and gravitational form.