Sparse regularization for fiber ODF reconstruction: from the suboptimality of ℓ2 and ℓ1 priors to ℓ0.

Diffusion MRI is a well established imaging modality providing a powerful way to probe the structure of the white matter non-invasively. Despite its potential, the intrinsic long scan times of these sequences have hampered their use in clinical practice. For this reason, a large variety of methods have been recently proposed to shorten the acquisition times. Among them, spherical deconvolution approaches have gained a lot of interest for their ability to reliably recover the intra-voxel fiber configuration with a relatively small number of data samples. To overcome the intrinsic instabilities of deconvolution, these methods use regularization schemes generally based on the assumption that the fiber orientation distribution (FOD) to be recovered in each voxel is sparse. The well known Constrained Spherical Deconvolution (CSD) approach resorts to Tikhonov regularization, based on an ℓ(2)-norm prior, which promotes a weak version of sparsity. Also, in the last few years compressed sensing has been advocated to further accelerate the acquisitions and ℓ(1)-norm minimization is generally employed as a means to promote sparsity in the recovered FODs. In this paper, we provide evidence that the use of an ℓ(1)-norm prior to regularize this class of problems is somewhat inconsistent with the fact that the fiber compartments all sum up to unity. To overcome this ℓ(1) inconsistency while simultaneously exploiting sparsity more optimally than through an ℓ(2) prior, we reformulate the reconstruction problem as a constrained formulation between a data term and a sparsity prior consisting in an explicit bound on the ℓ(0)norm of the FOD, i.e. on the number of fibers. The method has been tested both on synthetic and real data. Experimental results show that the proposed ℓ(0) formulation significantly reduces modeling errors compared to the state-of-the-art ℓ(2) and ℓ(1) regularization approaches.

Communication between organ donor families and recipients: A definitely controversial subject

In transplant centers, few topics are more controversial than communication between organ donor families (ODF) and recipients (RE). The Organ Procurement Organizations and transplant centers have felt obliged to protect the confidentiality and interests of ODF and RE. However, some authors have reported favorable effects of contact between ODF and RE. This study sought to investigate the current situation of the communication between ODF and RE from the viewpoint of transplanted patients (n = 50) and waiting transplant patients (n 50) at a Brazilian University Hospital, ODF (n = 10), physicians from transplant centers (n 50), as well as the opinion of the general population of a Brazilian city (n = 100). This work was developed as a survey whose questions related to the issue of communication between ODF and RE. The results showed that the majority of transplanted patients (82%) and patients awaiting transplant (60%) wanted to meet ODF to express their gratitude for receiving the organ. Likewise, ODF (67%) wanted to have a meeting with recipients, which allowed them to confirm the benefit of their donation. The general population was also favorable (66%) to ODF and RE communication. In contrast, the physicians (74%) were opposed to the ODF and RE contact. They affirmed that direct contact could lead to serious emotional conflicts or attempts of material involvement. One believes that decisions concerning the contact between ODF and RE would have to be determined by the involved parties. The transplant team could analyze the requests case by case, but ODF and RE must have the right to make the final decision.

Oviductal Fluid Proteins Associated with the Bovine Zona Pellucida and the Effect on In Vitro Sperm-Egg Binding, Fertilization and Embryo Development

Studies have demonstrated that oviductal fluid (ODF) proteins associate with eggs of numerous species including the bovine. In this study, the association of three ODF proteins, the bovine oestrus-associated protein, osteopontin (OPN), lipocalin-type prostaglandin D synthase (L-PGDS), with the bovine zona pellucida (ZP) was demonstrated by immunohistochemistry and western blot. The biological function of ODF derived egg-associated OPN and L-PGDS in sperm binding, fertilization and embryonic development was also explored. In vitro matured bovine oocytes were pre-incubated with ODF collected by cannula from cows in oestrus, or ODF with antibodies to OPN, L-PGDS and bovine serum albumin (BSA). Following incubation, oocytes were inseminated with 1 x 10(5) frozen-thawed spermatozoa, and they were evaluated for sperm binding, fertilization and embryonic development in vitro. Pre-treatment of ODF with antibodies to all of proteins reduced sperm binding to the ZP and fertilization in vitro. Cleavage rates were not significantly different among incubations, but rates of embryo development were significantly decreased. We conclude that antibodies to OPN, L-PGDS and BSA react with oocytes incubated with ODF and inhibit sperm binding, fertilization and embryonic development in vitro, suggesting a potential role of these proteins in these events.

Defensive flexibility and its relation to symptom severity, depression, and anxiety.

Numerous studies have examined which individual defense mechanisms are related with mental health, and which are linked with psychopathology. However, the idea that a flexible use of defensive mechanisms is related to psychological wellbeing remained a clinical assumption, which this study sought to test empirically. A total of 62 (N = 62) outpatients participated in the study and were assessed with the Symptom Checklist-90R and the Social Adjustment Self-rated Scale. A subsample of 40 participants was further assessed using the Hamilton Depression (HAMD-21) and Anxiety scales (HAMA-21). The first therapy session of all participants was transcribed and rated using the Defense Mechanisms Ratings Scales (), and the Overall Defensive Functioning (ODF) score, which indicates the maturity of one's defensive functioning, was computed. An indicator of flexible use of defenses was also calculated based on the Gini Concentration C measure. Results showed that defensive flexibility, but not ODF, could predict anxiety scores. Symptom severity was predicted by both ODF and defensive flexibility, although in directions opposite to our predictions. Results suggest that defensive flexibility captures another aspect of an individual's functioning not assessed by the ODF, and that it is a promising new way of documenting defensive functioning.

Variations on the infaunal polychaetes due to bottom trawling along the inshore waters of Kerala (south-west coast of India)

Variations of the infaunal polychates populations due to bottom trawling were studied during December 2000 to November 2002 at depth ranging from 0-50 m along Cochin-Munambam area (Kerala, long. 76degree10'94" to 75degree 56' and lat.9degree58' to 10degree10'), in the southwest coast of India.Infaunal polychaetes from the sediment samples were collected both before and after experimental trawling in order to assess the variations on their abundance (no.m-2),biomass(g.m-2) and diversity due to bottom trawling .Highest variations in polychaetes were recorded at station 9 in May 2002 where polychaete abundance increased to 20710 no.m-2 after trawling from 2787 no.m-2 before trawling.Biomass showed highest variations at station 3 in December 2000 where biomass increased from 7.16g.m-2 recorded before trawling to 34.53 g.m-2 in the samples collected after trawling .Multivariate community analysis carried out based on both species abundance and biomass of plychaetes also confirm the wide variations in the similarities of the stations comparing both before and after trawling

Untersuchungen zur Eliminierung und Resorption von Zink aus Säugerspermatozoen während der Nebenhodenpassage

Während der Spermatogenese wird das Element Zink an die Sulfhydrylreste der Cysteine in den Mantelfaserproteinen der Spermienflagellen gebunden. So kann in den noch unreifen Mantelfasern die ungerichtete Ausbildung von Disulfidbrücken verhindert werden. Im Zuge der Spermatozoenreifung während der Nebenhodenpassage wird dieses Zink androgenabhängig zu einem hohen Prozentsatz wieder eliminiert. Die nun gerichtete Ausbildung von Disulfidbrücken ermöglicht die Versteifung der Mantelfasern. Diese Rigidität stellt die Voraussetzung zur progressiven Motilität dar, ohne die eine Fertilisierung der Eizelle im weiblichen Genitaltrakt nicht möglich ist. Da eine negative Korrelation zwischen dem Zinkgehalt von Flagellen und ihrer Motilität besteht (Henkel et al., 1999), hat die Zinkeliminierung während der Nebenhodenpassage eine entscheidende Bedeutung in der Entwicklung der Spermatozoen. Die vorliegende Arbeit untersucht die Mechanismen der epididymalen Zinkeliminierung sowie die an diesem Prozess beteiligten Komponenten und den Verbleib des eliminierten Zinks am System des Bullen, der Ratte und des Menschen. Mittels proteinchemischer Verfahren kann im bovinen System ein zinkbindendes 60 kDa-Protein als Albumin identifiziert werden. Ein 80 kDa-Protein mit zinkbindenden Eigenschaften bleibt unidentifiziert. Die Zinkbindungskapazität der fraktionierten Proteine ist dabei im Caput epididymidis am stärksten ausgeprägt. Atomabsorptionsspektralphotometrische Untersuchungen zeigen die höchsten flagellären Zinkwerte in den Spermien des Rete testis und eine Abnahme des Zinkgehalts zwischen Nebenhodenkopf und -körper. Durch Autometallographie kann eine epitheliale Zinkresorption im Nebenhodenschwanz nachgewiesen werden. Dort erfolgt auch die basale Anreicherung des Zinks. Am Zinkstoffwechsel scheint auch der Macrophage Migration Inhibitory Factor (MIF) beteiligt zu sein. Dieser ist ein Zytokin mit Oxidoreduktasecharakter und kommt unter anderem im Nebenhodenepithel sowie in den Vesikeln des Nebenhoden-Fluids der Ratte vor. MIF zeigt in den hier durchgeführten Untersuchungen sowohl in systemhomologer, als auch in rekombinanter Form in vitro eine Zink-eliminierende Wirkung auf Rattenspermatozoen des Caputs und der Cauda epididymidis und hat somit möglicherweise Einfluss auf den Reifungsprozess der Spermien im Nebenhoden. Lit.: Henkel R, Bittner J, Weber R, Hüther F, Miska W (1999). Relevance of zinc in human sperm flagella and its relation to motility. Fertil Steril 71: 1138-1143

Florística e fitossociologia em parcelas permanentes da Mata Atlântica do sudeste do Brasil ao longo de um gradiente altitudinal

This paper summarizes floristic and phytossociology data of 11, out of 14 plots of 1 ha, allocated along an altitudinal gradient in the Serra do Mar, Silo Paulo, Brazil. The study was conducted at Serra do Mar State Park and the plots start at the sea level (10 m - plot of Restinga Forest that occurs at Praia da Fazenda, Picinguaba, municipality of Ubatuba) up to 1100 m above sea level (the Montane Ombrophilous Dense occurs alongside the Itamambuca Trail, municipality of Silo Luis do Paraitinga). The Restinga Forest occurs in Pleistocenic Coastal Plain where the soil is classified as a sandy Quartzipsamment (Quartzenic Neosol), while along the slopes of the Serra do Mar, the Ombrophylus Dense Forest grows on the top of a pre-Cambrian crystalline basement with granitic rocks, where the soil is a sandy-loam Dystrophic Inceptisol (Cambisol/Latosol). In all 14 plots soils are acidic (pH 3 - 4), chemically poor, with high dilution of nutrients and high saturation of aluminum. In the Restinga and at the foot of the slope the climate is Tropical/Subtropical Humid (Af/Cfa), with no dry season, an average annual rainfall over 2,200 mm and an average annual temperature of 22 degrees C. Towards the top of the Serra do Mar there is a gradual cooling along the slope, but there is no reduction in rainfall, so at 1,100 m above sea level the climate is classified as Humid Subtropical (Cfa/Cfb), with no dry season and an average annual temperature of 17 degrees C. It is important to remark that, almost daily, from 400 m above sea level up to the top of slopes the mountains are covered by a dense fog. In the 14 plots 21,733 individuals with DBH >= 4.8 cm, including trees, palms and ferns, were marked, measured and sampled. The average number of individuals sampled in each plot was 1264 ind.ha(-1)(+/- 218 SE 95%). Within the parameters considered trees prevailed (71% in the Montane ODF to 90% in the Restinga Forest), followed by palms (10% in the RF and 25% in the Montane Ombrophilous Dense Forest/ODF) and ferns (0% % in the RF and 4% in the Montane ODF). Regarding these proportions the Exploited Lowlands ODF differs from the others with only 1.8% of palm trees and striking 10% of ferns. The forest canopy is irregular with heights ranging from 7 to 9 m, rarely emergent trees reach 18 m, and due to this irregularity of the canopy the amount of light that gets through sets conditions for the development of hundreds of epiphytic species. Aside from Montana ODF, where the number of dead trees was more than 5% of individuals sampled, in the other phytophysiognomies this value was below 2.5%. In the 11 plots where the floristic study was conducted we found 562 species in 195 genera and 68 families. Only seven species - Euterpe edulis Mart. (Arecaceae), Calyptranthes lucida Mart. ex DC. and Marlierea tomentosa Cambess (both Myrtaceae), Guapira opposita (Veil.) Reitz (Nyctaginaceae), Cupania oblongifolia Mart. (Sapindaceae), Cecropia glaziovii Snethl. and Coussapoa microcarpa (Schott) Rizzini (both Urticaceae) - occurred from Restinga to Montane ODF, while 12 other species did not occur only in the Restinga Forest. Families with the greatest number of species are Myrtaceae (133 spp), Fabaceae (47 spp), Rubiaceae (49) and Lauraceae (49) throughout the gradient and Monimiaceae (21) specifically in portions Montane ODF. Only in the F plot, where logging has occurred between 1950 and 1985, the abundance of palm trees has been replaced by Cyatheaceae. The study shows a peak of diversity and richness, Shannon-Weiner index (H') ranging from 3.96 to 4.48 nats.ind(-1), in the intermediate altitudes (300 to 400 m) along the slope. Several explanations for this result are raised here, including the fact that these elevations are within the limits expansions and retractions of the different phytophysiognomies of the Atlantic ODF due to climate fluctuations during the Pleistocene. The results presented in this paper demonstrate the extraordinary richness of tree species of the Atlantic Rainforest from the northeastern coast of the State of São Paulo, reinforcing the importance of its conservation throughout the altitudinal gradient. The richness of this forest justifies a long term commitment to study its dynamics and functioning through permanent plots, and monitor the impacts of climate change in this vegetation.

Florística e fitossociologia em parcelas permanentes da Mata Atlântica do sudeste do Brasil ao longo de um gradiente altitudinal

Este trabalho resume os dados de florística e fitossociologia de 11, das 14 parcelas de 1 ha, alocadas ao longo do gradiente altitudinal da Serra do Mar, São Paulo, Brasil. As parcelas começam na cota 10 m (Floresta de Restinga da Praia da Fazenda, município de Ubatuba) e estão distribuídas até a cota 1100 m (Floresta Ombrófila Densa Montana da Trilha do rio Itamambuca, município de São Luis do Paraitinga) abrangendo os Núcleos Picinguaba e Santa Virgínia do Parque Estadual da Serra do Mar. Na Restinga o solo é Neossolo Quartzarênico francamente arenoso, enquanto que na encosta o solo é um Cambisolo Háplico Distrófico argilo-arenoso, sendo que todas as parcelas apresentaram solo ácido (pH 3 – 4) com alta diluição de nutrientes e alta saturação de alumínio. Na Restinga e no sopé da encosta o clima é Tropical/Subtropical Úmido (Af/Cfa), sem estação seca, com precipitação média anual superior a 2.200 mm e temperatura média anual de 22 °C. Subindo a encosta mantêm-se a média de precipitação, mas há um gradativo resfriamento, de forma que a 1.100 m o clima é Subtropical Úmido (Cfa/Cfb), sem estação seca, com temperatura média anual de 17 °C. Destaca-se ainda que, quase diariamente, a parte superior da encosta, geralmente acima de 400 m, é coberta por uma densa neblina. Nas 14 parcelas foram marcados, medidos e amostrados 21.733 indivíduos com DAP ≥ 4,8 cm, incluindo árvores, palmeiras e fetos arborescentes. O número médio de indivíduos amostrados nas 14 parcelas foi de 1.264 ind.ha–1 (± 218 EP de 95%). Dentro dos parâmetros considerados predominaram as árvores (71% FOD Montana a 90% na Restinga), seguidas de palmeiras (10% na Restinga a 25% na FOD Montana) e fetos arborescentes (0% na Restinga a 4% na FOD Montana). Neste aspecto destaca-se a FOD Terras Baixas Exploradas com apenas 1,8% de palmeiras e surpreendentes 10% de fetos arborescentes. O dossel é irregular, com altura variando de 7 a 9 m, raramente as árvores emergentes chegam a 18 m, e a irregularidade do dossel permite a entrada de luz suficiente para o desenvolvimento de centenas de espécies epífitas. Com exceção da FOD Montana, onde o número de mortos foi superior a 5% dos indivíduos amostrados, nas demais fitofisionomias este valor ficou abaixo de 2,5%. Nas 11 parcelas onde foi realizado o estudo florístico foram encontradas 562 espécies distribuídas em 195 gêneros e 68 famílias. Apenas sete espécies – Euterpe edulis Mart. (Arecaceae), Calyptranthes lucida Mart. ex DC. e Marlierea tomentosa Cambess (ambas Myrtaceae), Guapira opposita (Vell.) Reitz (Nyctaginaceae), Cupania oblongifolia Mart. (Sapindaceae) e as Urticaceae Cecropia glaziovii Snethl. e Coussapoa microcarpa (Schott) Rizzini – ocorreram da Floresta de Restinga à FOD Montana, enquanto outras 12 espécies só não ocorreram na Floresta de Restinga. As famílias com o maior número de espécies são Myrtaceae (133 spp), Fabaceae (47 spp), 125 Fitossociologia em parcelas permanentes de Mata Atlântica http://www.biotaneotropica.org.br/v12n1/pt/abstract?article+bn01812012012 http://www.biotaneotropica.org.br Biota Neotrop., vol. 12, no. 1 Introdução A Mata Atlântica sensu lato (Joly et al. 1999) é a segunda maior floresta tropical do continente americano (Tabarelli et al. 2005). A maior parte dos Sistemas de Classificação da vegetação brasileira reconhece que no Domínio Atlântico (sensu Ab’Saber 1977) esse bioma pode ser dividido em dois grandes grupos: a Floresta Ombrófila Densa, típica da região costeira e das escarpas serranas com alta pluviosidade (Mata Atlântica – MA – sensu stricto), e a Floresta Estacional Semidecidual, que ocorre no interior, onde a pluviosidade, além de menor, é sazonal. Na região costeira podem ocorrer também Manguezais (Schaeffer-Novelli 2000), ao longo da foz de rios de médio e grande porte, e as Restingas (Scarano 2009), crescendo sobre a planície costeira do quaternário. No topo das montanhas, geralmente acima de 1500 m, estão os Campos de Altitude (Ribeiro & Freitas 2010). Em 2002, a Fundação SOS Mata Atlântica em parceria com o INPE (Instituto..., 2002) realizaram um levantamento que indica que há apenas 7,6% da cobertura original da Mata Atlântica (s.l.). Mais recentemente Ribeiro et al. (2009) refinaram a estimativa incluindo fragmentos menores, que não haviam sido contabilizados, e concluíram que resta algo entre 11,4 e 16% da área original. Mesmo com esta fragmentação, o mosaico da Floresta Atlântica brasileira possui um dos maiores níveis de endemismos do mundo (Myers et al. 2000) e cerca da metade desses remanescentes de grande extensão estão protegidos na forma de Unidades de Conservação (Galindo & Câmara 2005). Entre os dois centros de endemismo reconhecidos para a MA (Fiaschi & Pirani 2009), o bloco das regiões sudeste/sul é o que conserva elementos da porção sul de Gondwana (Sanmartin & Ronquist 2004), tido como a formação florestal mais antiga do Brasil (Colombo & Joly 2010). Segundo Hirota (2003), parte dos remanescentes de MA está no estado de São Paulo, onde cerca de 80% de sua área era coberta por florestas (Victor 1977) genericamente enquadradas como Mata Atlântica “sensu lato” (Joly et al. 1999). Dados de Kronka et al. (2005) mostram que no estado restam apenas 12% de área de mata e menos do que 5% são efetivamente florestas nativas pouco antropizadas. Nos 500 anos de fragmentação e degradação das formações naturais, foram poupadas apenas as regiões serranas, principalmente a fachada da Serra do Mar, por serem impróprias para práticas agrícolas. Usando o sistema fisionômico-ecológico de classificação da vegetação brasileira adotado pelo IBGE (Veloso et al. 1991), a Floresta Ombrófila Densa, na área de domínio da Mata Atlântica, foi subdividida em quatro faciações ordenadas segundo a hierarquia topográfica, que refletem fisionomias de acordo com as variações das faixas altimétricas e latitudinais. No estado de São Paulo, na latitude entre 16 e 24 °S temos: 1) Floresta Ombrófila Densa das Terras Baixas - 5 a 50 m de altitude; 2) Floresta Ombrófila Densa Submontana – no sopé da Serra do Mar, com cotas de altitude variando entre 50 e 500 m; 3) Floresta Ombrófila Densa Montana – recobrindo a encosta da Serra do Mar propriamente dita, em altitudes que variam de 500 a 1.200 m; 4) Floresta Ombrófila Densa Altimontana – ocorrendo no topo da Serra do Mar, acima dos limites estabelecidos para a formação montana, onde a vegetação praticamente deixa de ser arbórea, pois predominam os campos de altitude. Nas últimas três décadas muita informação vem sendo acumulada sobre a composição florística e a estrutura do estrato arbóreo dos remanescentes florestais do estado, conforme mostram as revisões de Oliveira-Filho & Fontes (2000) e Scudeller et al. (2001). Em florestas tropicais este tipo de informação, assim como dados sobre a riqueza de espécies, reflete não só fatores evolutivos e biogeográficos, como também o histórico de perturbação, natural ou antrópica, das respectivas áreas (Gentry 1992, Hubbell & Foster 1986). A síntese dessas informações tem permitido a definição de unidades fitogeográficas com diferentes padrões de riqueza de espécies e apontam para uma diferenciação, entre as florestas paulistas, no sentido leste/oeste (Salis et al. 1995, Torres et al. 1997, Santos et al. 1998). Segundo Bakker et al. (1996) um método adequado para acompanhar e avaliar as mudanças na composição das espécies e dinâmica da floresta ao longo do tempo é por meio de parcelas permanentes (em inglês Permanent Sample Plots –PSPs). Essa metodologia tem sido amplamente utilizada em estudos de longa duração em florestas tropicais, pois permite avaliar a composição e a estrutura florestal e monitorar sua mudança no tempo (Dallmeier 1992, Condit 1995, Sheil 1995, Malhi et al. 2002, Lewis et al. 2004). Permite avaliar também as consequências para a floresta de problemas como o aquecimento global e a poluição atmosférica (Bakker et al. 1996). No Brasil os projetos/programas que utilizam a metodologia de Parcelas Permanentes tiveram origem, praticamente, com o Projeto Rubiaceae (49) e Lauraceae (49) ao longo de todo gradiente da FOD e Monimiaceae (21) especificamente nas parcelas da FOD Montana. Em termos de número de indivíduos as famílias mais importantes foram Arecaceae, Rubiaceae, Myrtaceae, Sapotaceae, Lauraceae e na FOD Montana, Monimiaceae. Somente na parcela F, onde ocorreu exploração de madeira entre 1960 e 1985, a abundância de palmeiras foi substituída pelas Cyatheaceae. O gradiente estudado apresenta um pico da diversidade e riqueza nas altitudes intermediárias (300 a 400 m) ao longo da encosta (índice de Shannon-Weiner - H’ - variando de 3,96 a 4,48 nats.indivíduo–1). Diversas explicações para este resultado são apresentadas neste trabalho, incluindo o fato dessas altitudes estarem nos limites das expansões e retrações das diferentes fitofisionomias da FOD Atlântica durante as flutuações climáticas do Pleistoceno. Os dados aqui apresentados demonstram a extraordinária riqueza de espécies arbóreas da Floresta Ombrófila Densa Atlântica dos Núcleos Picinguaba e Santa Virgínia do Parque Estadual da Serra do Mar, reforçando a importância de sua conservação ao longo de todo o gradiente altitudinal. A diversidade desta floresta justifica também o investimento de longo prazo, através de parcelas permanentes, para compreender sua dinâmica e funcionamento, bem como monitorar o impacto das mudanças climáticas nessa vegetação.

NOVEL PHANTOMS AND POST-PROCESSING FOR DIFFUSION SPECTRUM IMAGING

High Angular Resolution Diffusion Imaging (HARDI) techniques, including Diffusion Spectrum Imaging (DSI), have been proposed to resolve crossing and other complex fiber architecture in the human brain white matter. In these methods, directional information of diffusion is inferred from the peaks in the orientation distribution function (ODF). Extensive studies using histology on macaque brain, cat cerebellum, rat hippocampus and optic tracts, and bovine tongue are qualitatively in agreement with the DSI-derived ODFs and tractography. However, there are only two studies in the literature which validated the DSI results using physical phantoms and both these studies were not performed on a clinical MRI scanner. Also, the limited studies which optimized DSI in a clinical setting, did not involve a comparison against physical phantoms. Finally, there is lack of consensus on the necessary pre- and post-processing steps in DSI; and ground truth diffusion fiber phantoms are not yet standardized. Therefore, the aims of this dissertation were to design and construct novel diffusion phantoms, employ post-processing techniques in order to systematically validate and optimize (DSI)-derived fiber ODFs in the crossing regions on a clinical 3T MR scanner, and develop user-friendly software for DSI data reconstruction and analysis. Phantoms with a fixed crossing fiber configuration of two crossing fibers at 90° and 45° respectively along with a phantom with three crossing fibers at 60°, using novel hollow plastic capillaries and novel placeholders, were constructed. T2-weighted MRI results on these phantoms demonstrated high SNR, homogeneous signal, and absence of air bubbles. Also, a technique to deconvolve the response function of an individual peak from the overall ODF was implemented, in addition to other DSI post-processing steps. This technique greatly improved the angular resolution of the otherwise unresolvable peaks in a crossing fiber ODF. The effects of DSI acquisition parameters and SNR on the resultant angular accuracy of DSI on the clinical scanner were studied and quantified using the developed phantoms. With a high angular direction sampling and reasonable levels of SNR, quantification of a crossing region in the 90°, 45° and 60° phantoms resulted in a successful detection of angular information with mean ± SD of 86.93°±2.65°, 44.61°±1.6° and 60.03°±2.21° respectively, while simultaneously enhancing the ODFs in regions containing single fibers. For the applicability of these validated methodologies in DSI, improvement in ODFs and fiber tracking from known crossing fiber regions in normal human subjects were demonstrated; and an in-house software package in MATLAB which streamlines the data reconstruction and post-processing for DSI, with easy to use graphical user interface was developed. In conclusion, the phantoms developed in this dissertation offer a means of providing ground truth for validation of reconstruction and tractography algorithms of various diffusion models (including DSI). Also, the deconvolution methodology (when applied as an additional DSI post-processing step) significantly improved the angular accuracy of the ODFs obtained from DSI, and should be applicable to ODFs obtained from the other high angular resolution diffusion imaging techniques.

Desenvolvimento de matrizes poliméricas como veículo de ácido ascórbico: caracterização e avaliação da estabilidade

A administração de princípios ativos pela mucosa oral é uma forma eficiente para a distribuição de fármacos e nutrientes, oferecendo diversas vantagens como uma fácil aplicação, evitando o metabolismo de primeira passagem hepática e potencialmente melhorando a biodisponibilidade dessas substâncias. A acerola e o camu-camu apresentam uma alta concentração de vitamina C e são consideradas fontes de diferentes compostos ativos, porém a vitamina C presente nas frutas é facilmente oxidada pelos fatores ambientais, e essas frutas são pouco acessíveis ao consumo populacional. Filmes de desintegração oral (FDO) podem apresentar rápido tempo de desintegração e fácil administração, o que os torna um material interessante para a veiculação de compostos com atividades farmacêuticas ou nutricionais. Assim, este trabalho teve como objetivo o desenvolvimento e caracterização de filmes de desintegração oral à base de amido e gelatina com adição de extrato seco de acerola e camu-camu produzidos por \"spray dryer\" como uma alternativa para a administração de vitamina C. Os FDOs foram produzidos pela técnica de casting, variando-se a proporção de amido e gelatina. Como plastificante foi utilizado o sorbitol (20 g / 100 g de polímero), mantendo-se constante a concentração de polímeros (2 g /100 g de solução filmogênica) e de extrato seco de acerola (4 g /100 g de solução filmogênica) e camu-camu (4 g / 100 g de solução filmogênica). Os extratos secos de acerola e camu-camu foram caracterizados com relação à concentração da vitamina C e da estabilidade desses extratos nessas condições (30 °C, UR 75 % e 40 °C, UR 75%). Os FDOs foram caracterizados em relação a espessura, propriedades mecânicas, ângulo de contato, FT-IR, microscopia electrônica de varredura, concentração de vitamina C, atividade antioxidante, atividade antimicrobiana, estabilidade da vitamina C, tempo de desintegração, estabilidade da atividade de eliminação de radicais de DPPH•, avaliação sensorial. Os extratos secos apresentaram uma boa estabilidade em relação à vitamina C e aos compostos antioxidantes (sequestro do radical DPPH•). Os FDOs sem adição de extrato, independente da formulação, mostraram-se homogêneos, com ausência de partículas insolúveis e alta capacidade de formação de filme. Para os FDOs com maior concentração de amido foi observado reduzido tempo de desintegração e pH próximo ao bucal. Após a adição dos extratos, os FDOs apresentaram redução do tempo de desintegração, boa aceitação sensorial, propriedades antioxidantes e estabilidade pelo sequestro do radical DPPH•. O pH de superfície dos filmes com adição de extrato seco de acerola foi mais próximo ao bucal quando comparado com os filmes com camu-camu. No entanto, os FDOs com acerola apresentaram reduzida estabilidade da vitamina C em relação ao tempo de armazenamento, enquanto que os filmes com camu-camu apresentaram melhor estabilidade. De modo geral, na formulação produzida apenas com amido (100 g de amido / 100 g de polímeros) observou-se uma maior concentração da vitamina C no final da estabilidade realizada à 30 °C e umidade relativa de 75 %, elevada estabilidade dos compostos ativos (DPPH) e alta taxa de uniformidade na distribuição da vitamina C no filme de desintegração oral. Dessa forma, os FDOs podem ser considerados uma boa alternativa para a suplementação de vitamina C.

Three dimensional Sklyanin algebras and Gröbner bases

We consider Sklyanin algebras $S$ with 3 generators, which are quadratic algebras over a field $\K$ with $3$ generators $x,y,z$ given by $3$ relations $pxy+qyx+rzz=0$, $pyz+qzy+rxx=0$ and $pzx+qxz+ryy=0$, where $p,q,r\in\K$. this class of algebras has enjoyed much attention. In particular, using tools from algebraic geometry, Feigin, Odesskii \cite{odf}, and Artin, Tate and Van Den Bergh, showed that if at least two of the parameters $p$, $q$ and $r$ are non-zero and at least two of three numbers $p^3$, $q^3$ and $r^3$ are distinct, then $S$ is Artin--Schelter regular. More specifically, $S$ is Koszul and has the same Hilbert series as the algebra of commutative polynomials in 3 indeterminates (PHS). It has became commonly accepted that it is impossible to achieve the same objective by purely algebraic and combinatorial means like the Groebner basis technique. The main purpose of this paper is to trace the combinatorial meaning of the properties of Sklyanin algebras, such as Koszulity, PBW, PHS, Calabi-Yau, and to give a new constructive proof of the above facts due to Artin, Tate and Van Den Bergh. Further, we study a wider class of Sklyanin algebras, namely
the situation when all parameters of relations could be different. We call them generalized Sklyanin algebras. We classify up to isomorphism all generalized Sklyanin algebras with the same Hilbert series as commutative polynomials on
3 variables. We show that generalized Sklyanin algebras in general position have a Golod–Shafarevich Hilbert series (with exception of the case of field with two elements).

The economics of credit markets: theory and evidence.

Doutoramento em Economia.