Modelação molecular de associações entre aniões e receptores sintéticos

A aplicação de simulações de mecânica e dinâmica molecular ao estudo de sistemas supramoleculares tem adquirido, ao longo dos últimos anos, enorme relevância. A sua utilização não só tem levado a uma melhor compreensão dos mecanismos de formação desses mesmos sistemas, como também tem fornecido um meio para o desenvolvimento de novas arquitecturas supramoleculares. Nesta tese são descritos os trabalhos de mecânica e dinâmica molecular desenvolvidos no âmbito do estudo de associações supramoleculares entre aniões e receptores sintéticos do tipo [2]catenano, [2]rotaxano e pseudorotaxano. São ainda estudados complexos supramoleculares envolvendo receptores heteroditópicos do tipo calix[4]diquinona e pares iónicos formados por aniões halogeneto e catiões alcalinos e amónio. Os estudos aqui apresentados assentam essencialmente em duas vertentes: no estudo das propriedades dinâmicas em solução dos vários complexos supramoleculares considerados e no cálculo das energias livres de Gibbs de associação relativas dos vários iões aos receptores sintéticos. As metodologias utilizadas passaram por dinâmica molecular convencional e REMD (Replica Exchange Molecular Dynamics), para o estudo das propriedades em solução, e por cálculos de integração termodinâmica e MMPBSA (Molecular Mechanics – Poisson Boltzmann Surface Area), para a computação das energias livres de associação relativas. Os resultados obtidos, além de terem permitido uma visão mais detalhada dos mecanismos envolvidos no reconhecimento e associação dos vários receptores aos aniões e pares iónicos abordados, encontram-se, globalmente, de acordo com os análogos determinados experimentalmente, validando assim as metodologias empregadas. Em jeito de conclusão, investigou-se ainda a capacidade de um dos receptores heteroditópicos estudados para assistir favoravelmente na migração do par iónico KCl através da interface água-clorofórmio. Para tal, foram utilizadas simulações SMD (Steered Molecular Dynamics) para a computação do perfil de energia livre de Gibbs associada à migração do par iónico através da interface.

On the application of optimal control techniques in lossy fieldbuses

The performance of real-time networks is under continuous improvement as a result of several trends in the digital world. However, these tendencies not only cause improvements, but also exacerbates a series of unideal aspects of real-time networks such as communication latency, jitter of the latency and packet drop rate. This Thesis focuses on the communication errors that appear on such realtime networks, from the point-of-view of automatic control. Specifically, it investigates the effects of packet drops in automatic control over fieldbuses, as well as the architectures and optimal techniques for their compensation. Firstly, a new approach to address the problems that rise in virtue of such packet drops, is proposed. This novel approach is based on the simultaneous transmission of several values in a single message. Such messages can be from sensor to controller, in which case they are comprised of several past sensor readings, or from controller to actuator in which case they are comprised of estimates of several future control values. A series of tests reveal the advantages of this approach. The above-explained approach is then expanded as to accommodate the techniques of contemporary optimal control. However, unlike the aforementioned approach, that deliberately does not send certain messages in order to make a more efficient use of network resources; in the second case, the techniques are used to reduce the effects of packet losses. After these two approaches that are based on data aggregation, it is also studied the optimal control in packet dropping fieldbuses, using generalized actuator output functions. This study ends with the development of a new optimal controller, as well as the function, among the generalized functions that dictate the actuator’s behaviour in the absence of a new control message, that leads to the optimal performance. The Thesis also presents a different line of research, related with the output oscillations that take place as a consequence of the use of classic co-design techniques of networked control. The proposed algorithm has the goal of allowing the execution of such classical co-design algorithms without causing an output oscillation that increases the value of the cost function. Such increases may, under certain circumstances, negate the advantages of the application of the classical co-design techniques. A yet another line of research, investigated algorithms, more efficient than contemporary ones, to generate task execution sequences that guarantee that at least a given number of activated jobs will be executed out of every set composed by a predetermined number of contiguous activations. This algorithm may, in the future, be applied to the generation of message transmission patterns in the above-mentioned techniques for the efficient use of network resources. The proposed task generation algorithm is better than its predecessors in the sense that it is capable of scheduling systems that cannot be scheduled by its predecessor algorithms. The Thesis also presents a mechanism that allows to perform multi-path routing in wireless sensor networks, while ensuring that no value will be counted in duplicate. Thereby, this technique improves the performance of wireless sensor networks, rendering them more suitable for control applications. As mentioned before, this Thesis is centered around techniques for the improvement of performance of distributed control systems in which several elements are connected through a fieldbus that may be subject to packet drops. The first three approaches are directly related to this topic, with the first two approaching the problem from an architectural standpoint, whereas the third one does so from more theoretical grounds. The fourth approach ensures that the approaches to this and similar problems that can be found in the literature that try to achieve goals similar to objectives of this Thesis, can do so without causing other problems that may invalidate the solutions in question. Then, the thesis presents an approach to the problem dealt with in it, which is centered in the efficient generation of the transmission patterns that are used in the aforementioned approaches.

Calculus of variations on time scales and applications to economics

We consider some problems of the calculus of variations on time scales. On the beginning our attention is paid on two inverse extremal problems on arbitrary time scales. Firstly, using the Euler-Lagrange equation and the strengthened Legendre condition, we derive a general form for a variation functional that attains a local minimum at a given point of the vector space. Furthermore, we prove a necessary condition for a dynamic integro-differential equation to be an Euler-Lagrange equation. New and interesting results for the discrete and quantum calculus are obtained as particular cases. Afterwards, we prove Euler-Lagrange type equations and transversality conditions for generalized infinite horizon problems. Next we investigate the composition of a certain scalar function with delta and nabla integrals of a vector valued field. Euler-Lagrange equations in integral form, transversality conditions, and necessary optimality conditions for isoperimetric problems, on an arbitrary time scale, are proved. In the end, two main issues of application of time scales in economic, with interesting results, are presented. In the former case we consider a firm that wants to program its production and investment policies to reach a given production rate and to maximize its future market competitiveness. The model which describes firm activities is studied in two different ways: using classical discretizations; and applying discrete versions of our result on time scales. In the end we compare the cost functional values obtained from those two approaches. The latter problem is more complex and relates to rate of inflation, p, and rate of unemployment, u, which inflict a social loss. Using known relations between p, u, and the expected rate of inflation π, we rewrite the social loss function as a function of π. We present this model in the time scale framework and find an optimal path π that minimizes the total social loss over a given time interval.

Pathways of oxidative degradation of wine

The production of color/flavor compounds in wine is the result of different interrelated mechanism reactions. Among these, the oxidation phenomenon and the Maillard reaction stands out with particular relevance due to their large impact on the sensory quality of wines and consequently on the product shelflife. The aim of this thesis is to achieve a global vision of wine degradation mechanisms. The identification of mediators’ reactions involved in oxidative browning and aromatic degradation will be attempted based on different detectors. Two approaches are implemented in this work: a “non-target” approach by which relevant analytical tools will be used to merge the information of cyclic voltammetry and Diode-Array (DAD) detectors, allowing a broader overview of the system and the note of interesting compounds, and a “target” approach by which the identification and quantification of the different compounds related to the wine degradation process will be performed using different detectors (HPLC-UV/Vis, LC-MS, GC-MS, and FID). Two different patterns of degradation will be used in this study: wines generated by O2 and temperature perturbations, and synthetic solutions with relevant wine constituents for mechanisms validation. Results clearly demonstrate a “convolution” of chemical mechanisms. The presence of oxygen combined with temperature had a synergistic effect on the formation of several key odorant compounds.The results of this work could be translated to the wine-making and wine-storage environment from the modelling of the analysed compounds.

Location-routing problems of semi-obnoxious facilities: approaches and decision support

A presente tese resulta de um trabalho de investigação cujo objectivo se centrou no problema de localização-distribuição (PLD) que pretende abordar, de forma integrada, duas actividades logísticas intimamente relacionadas: a localização de equipamentos e a distribuição de produtos. O PLD, nomeadamente a sua modelação matemática, tem sido estudado na literatura, dando origem a diversas aproximações que resultam de diferentes cenários reais. Importa portanto agrupar as diferentes variantes por forma a facilitar e potenciar a sua investigação. Após fazer uma revisão e propor uma taxonomia dos modelos de localização-distribuição, este trabalho foca-se na resolução de alguns modelos considerados como mais representativos. É feita assim a análise de dois dos PLDs mais básicos (os problema capacitados com procura nos nós e nos arcos), sendo apresentadas, para ambos, propostas de resolução. Posteriormente, é abordada a localização-distribuição de serviços semiobnóxios. Este tipo de serviços, ainda que seja necessário e indispensável para o público em geral, dada a sua natureza, exerce um efeito desagradável sobre as comunidades contíguas. Assim, aos critérios tipicamente utilizados na tomada de decisão sobre a localização destes serviços (habitualmente a minimização de custo) é necessário adicionar preocupações que reflectem a manutenção da qualidade de vida das regiões que sofrem o impacto do resultado da referida decisão. A abordagem da localização-distribuição de serviços semiobnóxios requer portanto uma análise multi-objectivo. Esta análise pode ser feita com recurso a dois métodos distintos: não interactivos e interactivos. Ambos são abordados nesta tese, com novas propostas, sendo o método interactivo proposto aplicável a outros problemas de programação inteira mista multi-objectivo. Por último, é desenvolvida uma ferramenta de apoio à decisão para os problemas abordados nesta tese, sendo apresentada a metodologia adoptada e as suas principais funcionalidades. A ferramenta desenvolvida tem grandes preocupações com a interface de utilizador, visto ser direccionada para decisores que tipicamente não têm conhecimentos sobre os modelos matemáticos subjacentes a este tipo de problemas.