Elogio de las escaleras

La descripción más genial de lo que es una escalera se la debemos a Julio Cortázar, en cuyo relato Instrucciones para subir una escalera nos dice: nadie habrá dejado de observar que con frecuencia el suelo se pliega de manera tal que una parte sube en ángulo recto con el plano del suelo, y luego la parte siguiente se coloca paralela a este plano, para dar paso a una nueva perpendicular, conducta que se repite en espiral o en línea quebrada hasta alturas sumamente variables

En el entorno del teorema Kou-Ku (II)

Nos son tan habituales algunas cosas que no nos sorprendemos ante ellas ni nos paramos a pensar acerca de su significado profundo o sobre la maravilla de su gestación, perdida a veces en la noche de los tiempos. Considerado en abstracto, como una relación entre superficies de figuras descontextualizadas, ¡no es nada evidente el teorema de Pitágoras!, pero hay muchos problemas de tipo práctico que obligan a pasar obligatoriamente por el ángulo recto. ¿Cómo construir si no, por ejemplo, un edificio de una mínima prestancia? Las divulgaciones al uso han justificado siempre su origen en la necesidad de medir terrenos después de las crecidas de los grandes ríos en cuyas orillas se asentaron las primeras civilizaciones sedentarias. Se supone también que habría que definir retículas ortogonales y que ello llevaría a catalogar ternas de números que permitieran construir ángulos rectos. Cuando se contempla desde un montículo la hermosa anarquía distributiva que el devenir de los tiempos ha producido en nuestros campos, parece claro que ese afán regulador sólo puede darse bajo un fuerte poder centralizado. Así pues, quizás haya que incluir el teorema Kou-Ku —junto, por ejemplo, el monoteísmo y los primeros códigos legislativos— entre las primeras consecuencias de la aparición del Estado (con mayúsculas, claro).

Para medir ángulos

“Ahora podemos medir cualquier ángulo, incluso diedros, más fácilmente”. Este podría ser el anuncio de propaganda del invento que os presento. No tiene nada de nuevo, pues parece ser que los traumatólogos lo vienen utilizando desde hace unos años para medir el grado de desviación de la columna vertebral en algunos pacientes. De hecho, fue uno de ellos quien me regaló mi primer ejemplar. El fundamento es bien simple: dos reglas idénticas con un extremo semicircular en uno de los cuales se imprime un círculo graduado. Las reglas se unen mediante un remache colocado en el centro del círculo.

Números trascendentes: desarrollo histórico

Sabemos que los números trascendentes son aquellos que no son raíces de ecuaciones algebraicas con coeficientes racionales. Su origen, el origen de la trascendencia, se remonta a los griegos con la aparición de problemas como la duplicación del cubo, trisección del ángulo y cuadratura del círculo irresolubles con regla y compás. Entre 1844 fecha en la que nace el primer número trascendente y 1900 fecha en la que Hilbert plantea el llamado séptimo problema de Hilbert cuya solución, obtenida en 1934 por Gelfand y Scheider, a partir de los trabajos de Polya en 1914 y Siegel en 1929, abren las puertas de una nueva era para esta teoría. En este intervalo de tiempo se produjeron numerosos eventos importantes que vamos a tratar de desarrollar.

The Postmodern Non-city in Miquel de Palol’s "El Jardí del Set Crepuscles"

El Jardí del Set Crepuscles –primera novela del escritor y arquitecto catalán Miquel de Palol– nos brinda la oportunidad de reflexionar acerca de la metamorfosis experimentada por la ciudad occidental a principios de los años setenta del siglo pasado. De acuerdo con autores como Henri Lefebvre, David Harvey, Giandomenico Amendola o Edward Soja, el surgimiento de la ciudad posmoderna en el marco de la transición hacia el modo de acumulación postfordista se presenta acompañado por un debilitamiento del tejido social y de la esfera pública y cívica. El objetivo del presente artículo es ilustrar las estrategias narrativas y retóricas con las que el texto de Miquel de Palol representa, y analiza, dicho fenómeno.

Periferias urbanas: retrato del extrarradio barcelonés en las novelas de Javier Pérez Andújar

Javier Pérez Andújar, a través de su propia memoria, crea en Los príncipes valientes (2007) y Paseos con mi madre (2011) un retrato detallado del extrarradio barcelonés. En ambas novelas, el autor combina diferentes elementos: la memoria oral, la metaliteratura, la crónica y la cultura popular. De este modo narra la historia de tres generaciones ubicadas en las afueras de la ciudad. El presente artículo centra su análisis, basándose en una contextualización histórica, en la configuración del espacio y el estudio de las características morfológicas y sociales propias de los extrarradios. Con ello se pretende demostrar la significación histórica y social del extrarradio en la historia contemporánea de Barcelona.

La ciudad de Rávena y los paisajes de la abstracción en "Deserto Rosso" de Michelangelo Antonioni

La presente investigación trata de poner énfasis en la importancia del paisaje en Deserto Rosso de Michelangelo Antonioni, erigiéndose este como elemento fundamental de la trama argumental del filme. Partiendo de esta premisa, se analiza el significado de dicho paisaje en el contexto socioartístico de los años 60. La interacción del hombre con su entorno parece ser el punto de partida para una reflexión más profunda sobre el devenir humano. Las nuevas conquistas estéticas alcanzadas y el análisis históricoartístico de los precedentes más inmediatos del filme, sitúan a Deserto Rosso como obra cumbre de la neovanguardia posmoderna europea.

Preparation and characterization of novel nanocomposites of inorganic/polysaccharide type

O uso de polímeros naturais no âmbito da preparação de nanocompósitos não tem sido tão amplamente estudado quando comparado com os polímeros sintéticos. Assim, esta tese tem como objectivo estudar metodologias para a preparação de novos materiais nanocompósitos sob a forma de dispersões e filmes utilizando polissacarídeos como matriz. A tese está dividida em cinco capítulos sendo o último capítulo dedicado às conclusões gerais e a sugestões para trabalhos futuros. Inicialmente é apresentada uma breve revisão bibliográfica sobre os principais temas colocando esta tese em contexto. Considerações sobre o uso de polímeros naturais e a sua combinação com a utilização de nanopartículas inorgânicas para a fabricação de novos bionanocomposites são descritas e os objectivos e outline da tese são também apresentados. No segundo capítulo, a preparação de partículas de sílica puras ou modificadas bem como a sua caracterização por FTIR, SEM, TEM, TGA, DLS (tamanho e potencial zeta) e medições de ângulo de contacto são discutidas. De modo a melhorar a compatibilidade da sílica com os polissacarídeos, as partículas SiO2 foram modificados com dois compostos do tipo organosilano: 3- metacril-oxipropil-trimetoxissilano (MPS) e 3-aminopropil-trimetoxissilano (APS). As partículas SiO2@MPS foram posteriormente encapsuladas com de poli(metacrilato de glicidilo) utilizando a técnica de polimerização em emulsão. A utilização dos nanocompósitos resultantes na preparação de dispersões de bionanocompósitos não foi bem sucedida e por esse motivo não os estudos não foram prosseguidos. O uso de SiO2@APS na preparação de dispersões bionanocomposite foi eficiente. No terceiro capítulo é apresentada uma revisão sobre dispersões bionanocompósitas e respectiva caracterização destacando aspectos fundamentais sobre reologia e microestrutura. Em seguida, é discutido o estudo sistemático realizado sobre o comportamento reológico de dispersões de SiO2 utilizando três polissacarídeos distintos no que concerne a carga e as características gelificantes: a goma de alfarroba (não iónica), o quitosano (catiónico) e a goma xantana (aniónica) cujas propriedades reológicas são amplamente conhecidas. Os estudos reológicos realizados sob diferentes condições demonstraram que a formação de géis frágeis e/ou bem estruturados depende do tamanho SiO2, da concentração, do pH e da força iónica. Estes estudos foram confirmados por análises microestruturais usando a microscopia electrónica a baixas temperaturas (Cryo-SEM). No quarto capítulo, são apresentados os estudos relativos à preparação e caracterização de filmes bionanocompósitos utilizando quitosano como matriz. Primeiramente é apresentada uma revisão sobre filmes de bionanocompósitos e os aspectos fundamentais das técnicas de caracterização utilizadas. A escolha do plasticizante e da sua concentração são discutidas com base nas propriedades de filmes de quitosano preparados. Em seguida, o efeito da concentração de sílica e dos métodos utilizados para a dispersar na matriz de polissacarídeo, bem como o efeito da modificação da superfície da sílica é avaliado. As características da superfície e as propriedades de barreira, mecânicas e térmicas são discutidas para cada conjunto de filmes preparados antes e após a sua neutralização. Os resultados obtidos mostraram que a dispersão das cargas no plasticizante e posterior adição à matriz polissacarídica resultaram apenas em pequenas melhorias já que o problema da agregação de sílica não foi ultrapassado. Por esse motivo foram preparados filmes com SiO2@APS os quais apresentaram propriedades melhores apesar da agregação das partículas não ter sido completamente impedida. Tal pode estar relacionado com o processo de secagem dos filmes. Finalmente, no capítulo 5, são apresentadas as principais conclusões obtidas e algumas sugestões para trabalho futuro.

A actividade sintética de hMSCs em contacto com vidros bioativos

Os vidros bioativos constituem um material apropriado para o preenchimento de defeitos ósseos, como alternativa a enxertos autólogos, uma vez que, quando expostos a fluidos fisiológicos promovem a formação de uma ligação com o tecido ósseo sob a forma de uma camada de hidroxiapatite carbonatada. No presente trabalho caracterizaram-se vidros bioativos sem conteúdo alcalino, cuja composição incide no sistema binário de diópsido (CaMgSi2O6) e fosfato de tricálcio (3CaO·P2O5), em função da sua molhabilidade, carga superficial, perfil de degradação, carácter bioativo em fluido fisiológico simulado e do seu comportamento in vitro em contacto com células estaminais mesenquimais humanas (hMSCs). A medição do ângulo de contacto inicial de água sobre os vidros demonstrou o carácter hidrofílico dos vidros investigados. A determinação do potencial zeta mostrou que a carga superficial dos vidros é negativa, sendo mais negativa na composição Di-70. O estudo da biodegradação dos vidros, efetuado através da sua imersão em Tris-HCl, permitiu concluir que a perda de peso dos vidros foi reduzida. A caraterização in vitro em meio acelular foi efetuada através da imersão dos vidros numa solução de fluido fisiológico simulado (SBF) e verificou-se que estes possuem capacidade de formar uma camada de hidroxiapatite carbonatada à sua superfície após 7 dias, detetável por XRD, FTIR e SEM/EDS, sugerindo que este conjunto de vidros é potencialmente bioativo, e poderá estimular a proliferação e diferenciação celular. A resposta das hMSCs em cultura aos vidros bioativos foi avaliada em termos de atividade metabólica, morfologia, viabilidade, proliferação e diferenciação osteogénica e conclui-se que os biovidros Di-60 e Di-70 poderão constituir um suporte viável para a proliferação e diferenciação de hMSCs.

Cooperative positioning for heterogeneous wireless systems

Future emerging market trends head towards positioning based services placing a new perspective on the way we obtain and exploit positioning information. On one hand, innovations in information technology and wireless communication systems enabled the development of numerous location based applications such as vehicle navigation and tracking, sensor networks applications, home automation, asset management, security and context aware location services. On the other hand, wireless networks themselves may bene t from localization information to improve the performances of di erent network layers. Location based routing, synchronization, interference cancellation are prime examples of applications where location information can be useful. Typical positioning solutions rely on measurements and exploitation of distance dependent signal metrics, such as the received signal strength, time of arrival or angle of arrival. They are cheaper and easier to implement than the dedicated positioning systems based on ngerprinting, but at the cost of accuracy. Therefore intelligent localization algorithms and signal processing techniques have to be applied to mitigate the lack of accuracy in distance estimates. Cooperation between nodes is used in cases where conventional positioning techniques do not perform well due to lack of existing infrastructure, or obstructed indoor environment. The objective is to concentrate on hybrid architecture where some nodes have points of attachment to an infrastructure, and simultaneously are interconnected via short-range ad hoc links. The availability of more capable handsets enables more innovative scenarios that take advantage of multiple radio access networks as well as peer-to-peer links for positioning. Link selection is used to optimize the tradeo between the power consumption of participating nodes and the quality of target localization. The Geometric Dilution of Precision and the Cramer-Rao Lower Bound can be used as criteria for choosing the appropriate set of anchor nodes and corresponding measurements before attempting location estimation itself. This work analyzes the existing solutions for node selection in order to improve localization performance, and proposes a novel method based on utility functions. The proposed method is then extended to mobile and heterogeneous environments. Simulations have been carried out, as well as evaluation with real measurement data. In addition, some speci c cases have been considered, such as localization in ill-conditioned scenarios and the use of negative information. The proposed approaches have shown to enhance estimation accuracy, whilst signi cantly reducing complexity, power consumption and signalling overhead.

Sectorial antennas for WSN localization system

This work investigates low cost localization systems (LS) based on received signal strength (RSS) and integrated with different types of antennas with main emphasis on sectorial antennas. The last few years have witnessed an outstanding growth in wireless sensor networks (WSN). Among its various possible applications, the localization field became a major area of research. The localization techniques based on RSS are characterized by simplicity and low cost of integration. The integration of LS based on RSS and sectorial antennas (SA) was proven to provide an effective solution for reducing the number of required nodes of the networks and allows the combination of several techniques, such as RSS and angle of arrival (AoA). This PhD thesis focuses on studying techniques, antennas and protocols that best meet the needs of each LS with main focus on low cost systems based on RSS and AoA. Firstly there are studied localization techniques and system that best suit the requirements of the user and the antennas that are most appropriate according to the nature of the signal. In this step it is intended to provide a fundamental understanding of the undertaken work. Then the developed antennas are presented according to the following categories: sectorial and microstrip antennas. Two sectorial antennas are presented: a narrowband antenna operating at 2.4 to 2.5 GHz and a broadband antenna operating at 800MHz-2.4GHz. The low cost printed antennas were designed to operate at 5 GHz, which may be used for vehicular communication. After presenting the various antennas, several prototypes of indoor/outdoor LS are implemented and analyzed. Localization protocols are also proposed, one based on simplicity and low power, and the other on interoperability with different types of antennas and system requirements.

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.

Metabolic signature of lung cancer: a metabolomic study of human tissues and biofluids

This thesis reports the application of metabolomics to human tissues and biofluids (blood plasma and urine) to unveil the metabolic signature of primary lung cancer. In Chapter 1, a brief introduction on lung cancer epidemiology and pathogenesis, together with a review of the main metabolic dysregulations known to be associated with cancer, is presented. The metabolomics approach is also described, addressing the analytical and statistical methods employed, as well as the current state of the art on its application to clinical lung cancer studies. Chapter 2 provides the experimental details of this work, in regard to the subjects enrolled, sample collection and analysis, and data processing. In Chapter 3, the metabolic characterization of intact lung tissues (from 56 patients) by proton High Resolution Magic Angle Spinning (HRMAS) Nuclear Magnetic Resonance (NMR) spectroscopy is described. After careful assessment of acquisition conditions and thorough spectral assignment (over 50 metabolites identified), the metabolic profiles of tumour and adjacent control tissues were compared through multivariate analysis. The two tissue classes could be discriminated with 97% accuracy, with 13 metabolites significantly accounting for this discrimination: glucose and acetate (depleted in tumours), together with lactate, alanine, glutamate, GSH, taurine, creatine, phosphocholine, glycerophosphocholine, phosphoethanolamine, uracil nucleotides and peptides (increased in tumours). Some of these variations corroborated typical features of cancer metabolism (e.g., upregulated glycolysis and glutaminolysis), while others suggested less known pathways (e.g., antioxidant protection, protein degradation) to play important roles. Another major and novel finding described in this chapter was the dependence of this metabolic signature on tumour histological subtype. While main alterations in adenocarcinomas (AdC) related to phospholipid and protein metabolisms, squamous cell carcinomas (SqCC) were found to have stronger glycolytic and glutaminolytic profiles, making it possible to build a valid classification model to discriminate these two subtypes. Chapter 4 reports the NMR metabolomic study of blood plasma from over 100 patients and near 100 healthy controls, the multivariate model built having afforded a classification rate of 87%. The two groups were found to differ significantly in the levels of lactate, pyruvate, acetoacetate, LDL+VLDL lipoproteins and glycoproteins (increased in patients), together with glutamine, histidine, valine, methanol, HDL lipoproteins and two unassigned compounds (decreased in patients). Interestingly, these variations were detected from initial disease stages and the magnitude of some of them depended on the histological type, although not allowing AdC vs. SqCC discrimination. Moreover, it is shown in this chapter that age mismatch between control and cancer groups could not be ruled out as a possible confounding factor, and exploratory external validation afforded a classification rate of 85%. The NMR profiling of urine from lung cancer patients and healthy controls is presented in Chapter 5. Compared to plasma, the classification model built with urinary profiles resulted in a superior classification rate (97%). After careful assessment of possible bias from gender, age and smoking habits, a set of 19 metabolites was proposed to be cancer-related (out of which 3 were unknowns and 6 were partially identified as N-acetylated metabolites). As for plasma, these variations were detected regardless of disease stage and showed some dependency on histological subtype, the AdC vs. SqCC model built showing modest predictive power. In addition, preliminary external validation of the urine-based classification model afforded 100% sensitivity and 90% specificity, which are exciting results in terms of potential for future clinical application. Chapter 6 describes the analysis of urine from a subset of patients by a different profiling technique, namely, Ultra-Performance Liquid Chromatography coupled to Mass Spectrometry (UPLC-MS). Although the identification of discriminant metabolites was very limited, multivariate models showed high classification rate and predictive power, thus reinforcing the value of urine in the context of lung cancer diagnosis. Finally, the main conclusions of this thesis are presented in Chapter 7, highlighting the potential of integrated metabolomics of tissues and biofluids to improve current understanding of lung cancer altered metabolism and to reveal new marker profiles with diagnostic value.

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

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

Análise de estratégias de processamento de dados GPS

Nos últimos anos, a rede de estações GPS permanentes tem crescido de forma sustentada em todo o mundo. Também em Portugal existe um número cada vez maior de estações permanentes, a maior parte das quais ligadas a instituições públicas e universidades. O volume de dados produzido por estas redes implica a criação de procedimentos automáticos de processamento de observações com metodologias adequadas. Tendo como objectivo principal processar os dados GPS provenientes de uma rede de estações da Faculdade de Ciências da Universidade de Lisboa (FCUL), foi elaborado um sistema de processamento automático de observações para um conjunto alargado de estações. A rede é constituída por estações IGS (Madrid, Maspalomas, Ponta Delgada, San Fernando e Villa Franca del Campo), por estações EUREF (Cascais, Vila Nova de Gaia e Lagos) e estações da FCUL (Flores, Graciosa, Santa Maria, Instituto de Meteorologia da Madeira, Observatório Astronómico de Lisboa Norte, Observatório Astronómico de Lisboa Sul). O processamento de observações GPS foi feito com recurso ao Bernese Processing Engine, uma componente do Bernese GPS Software 4.2, e foram utilizadas diferentes estratégias que incluem a modificação do ângulo de máscara, a determinação de gradientes troposféricos e a inclusão do efeito de carga oceânica. Neste trabalho são analisadas várias séries temporais e discutidas as vantagens e desvantagens de cada uma das estratégias utilizadas.