Wave equation depth migration using complex Padé approximation

Propomos um novo método de migração em profundidade baseado na solução da equação da onda com densidade constante no domínio da freqüência. Uma aproximação de Padé complexa é usada para aproximar o operador de evolução aplicado na extrapolação do campo de ondas. Esse método reduz as imprecisões e instabilidades devido às ondas evanescentes e produz imagens com menos ruídos numéricos que aquelas obtidas usando-se a aproximação de Padé real para o operador exponencial, principalmente em meios com fortes variações de velocidades. Testes em dados de afastamento nulo do modelo de sal SEG/EAGE e nos dados de tiro comum 2-D Marmousi foram realizados. Os resultados obtidos mostram que o método de migração proposto consegue lidar com fortes variações laterais e também tem uma boa resposta para refletores com mergulhos íngremes. Os resultados foram comparados àqueles resultados obtidos com os métodos split-step Fourier (SSF), phase shift plus interpolarion (PSPI) e Fourier diferenças-finitas (FFD).

Migração FD 3D em profundidade usando aproximação de Padé complexa

A implementação convencional do método de migração por diferenças finitas 3D, usa a técnica de splitting inline e crossline para melhorar a eficiência computacional deste algoritmo. Esta abordagem torna o algoritmo eficiente computacionalmente, porém cria anisotropia numérica. Esta anisotropia numérica por sua vez, pode levar a falsos posicionamentos de refletores inclinados, especialmente refletores com grandes ângulos de mergulho. Neste trabalho, como objetivo de evitar o surgimento da anisotropia numérica, implementamos o operador de extrapolação do campo de onda para baixo sem usar a técnica splitting inline e crossline no domínio frequência-espaço via método de diferenças finitas implícito, usando a aproximação de Padé complexa. Comparamos a performance do algoritmo iterativo Bi-gradiente conjugado estabilizado (Bi-CGSTAB) com o multifrontal massively parallel solver (MUMPS) para resolver o sistema linear oriundo do método de migração por diferenças finitas. Verifica-se que usando a expansão de Padé complexa ao invés da expansão de Padé real, o algoritmo iterativo Bi-CGSTAB fica mais eficientes computacionalmente, ou seja, a expansão de Padé complexa atua como um precondicionador para este algoritmo iterativo. Como consequência, o algoritmo iterativo Bi-CGSTAB é bem mais eficiente computacionalmente que o MUMPS para resolver o sistema linear quando usado apenas um termo da expansão de Padé complexa. Para aproximações de grandes ângulos, métodos diretos são necessários. Para validar e avaliar as propriedades desses algoritmos de migração, usamos o modelo de sal SEG/EAGE para calcular a sua resposta ao impulso.

Migração FFD 3D em profundidade usando aproximação de Padé complexa

Implementações dos métodos de migração diferença finita e Fourier (FFD) usam fatoração direcional para acelerar a performance e economizar custo computacional. Entretanto essa técnica introduz anisotropia numérica que podem erroneamente posicionar os refletores em mergulho ao longo das direções em que o não foi aplicado a fatoração no operador de migração. Implementamos a migração FFD 3D, sem usar a técnica do fatoração direcional, no domínio da frequência usando aproximação de Padé complexa. Essa aproximação elimina a anisotropia numérica ao preço de maior custo computacional buscando a solução do campo de onda para um sistema linear de banda larga. Experimentos numéricos, tanto no modelo homogêneo e heterogêneo, mostram que a técnica da fatoração direcional produz notáveis erros de posicionamento dos refletores em meios com forte variação lateral de velocidade. Comparamos a performance de resolução do algoritmo de FFD usando o método iterativo gradiente biconjugado estabilizado (BICGSTAB) e o multifrontal massively parallel direct solver (MUMPS). Mostrando que a aproximação de Padé complexa é um eficiente precondicionador para o BICGSTAB, reduzindo o número de iterações em relação a aproximação de Padé real. O método iterativo BICGSTAB é mais eficiente que o método direto MUMPS, quando usamos apenas um termo da expansão de Padé complexa. Para maior ângulo de abertura do operador, mais termos da série são requeridos no operador de migração, e neste caso, a performance do método direto é mais eficiente. A validação do algoritmo e as propriedades da evolução computacional foram avaliadas para a resposta ao impulso do modelo de sal SEG/EAGE.

Pure spinor partition function using Padé approximants

In a recent paper, the partition function (character) of ten-dimensional pure spinor worldsheet variables was calculated explicitly up to the fifth mass-level. In this letter, we propose a novel application of Padé approximants as a tool for computing the character of pure spinors. We get results up to the twelfth mass-level. This work is a first step towards an explicit construction of the complete pure spinor partition function.

CHEMICAL DEGRADATION OF ESFENVALERATE AND HPLC-UV-PAD DETECTION OF INTERMEDIATES AND BY-PRODUCTS

The impact of pyretroids, their by-products and degradation products on humans and the environment is recognized as a serious problem. Despite several studies regarding esfenvalerate toxicity and its detection in water and sediments, there is still a lack of information about its degradation intermediates and by-products in water. In this work, an HPLC method was developed to follow up the degradation of esfenvalerate and to detect the intermediates and by-products formed during the chemical degradation process. The chemical degradation was performed using an esfenvalerate suspension and different concentrations of hydrogen peroxide, temperatures, and pH. The reaction was monitored for 24 hr, and during the kinetic experiments, samples were collected at several reaction times and analyzed by HPLC-UV-PAD. In the degradation process, eleven different compounds (intermediate and by-products) were detected, among them the metabolites 3-phenoxybenzoic acid and 3-phenoxybenzaldehyde. HPLC-UV-PAD proved to be a valuable analytical technique for the rapid and reliable separation and determination of esfenvalerate, its degradation intermediates, and by-products.

The Next 10 years in the Management of Peripheral Artery Disease: Perspectives from The 'PAD 2009' Conference

OBJECTIVES: To briefly inform on the conclusions from a conference on the next 10 years in the management of peripheral artery disease (PAD). DESIGN OF THE CONFERENCE: International participation, invited presentations and open discussion were based on the following issues: Why is PAD under-recognised? Health economic impact of PAD; funding of PAD research; changes of treatment options? Aspects on clinical trials and regulatory views; and the role of guidelines. RESULTS AND CONCLUSIONS: A relative lack of knowledge about cardiovascular risk and optimal management of PAD patients exists not only among the public, but also in parts of the health-care system. Specialists are required to act for improved information. More specific PAD research is needed for risk management and to apply the best possible evaluation of evidence for treatment strategies. Better strategies for funding are required based on, for example, public/private initiatives. The proportion of endovascular treatments is steadily increasing, more frequently based on observational studies than on randomised controlled trials. The role of guidelines is therefore important to guide the profession in the assessment of most relevant treatment.

Tenascin-C and tenascin-W in whisker follicle stem cell niches: possible roles in regulating stem cell proliferation and migration

The whisker follicle has CD34-positive stem cells that migrate from their niche near the bulge along the glassy membrane to the whisker bulb, where they participate in the formation of the whisker shaft. Using immunohistochemistry we found the glycoprotein tenascin-C in the fibrous capsule of mouse whisker follicles, along the glassy membrane and in the trabecular region surrounding keratin-15-negative, CD34-positive stem cells. The related glycoprotein tenascin-W is found in the CD34-positive stem cell niche, in nearby trabeculae, and along the glassy membrane. Tenascin-W is also found in the neural stem cell niche of nearby hair follicles. The formation of stress fibers and focal adhesion complexes in CD34-positive whisker-derived stem cells cultured on fibronectin was inhibited by both tenascin-C and tenascin-W, which is consistent with a role for these glycoproteins in promoting the migration of these cells from the niche to the whisker bulb. Tenascin-C, but not tenascin-W, increased the proliferation of whisker follicle stem cells in vitro. Thus, the CD34-positive whisker follicle stem cell niche contains both tenascin-C and tenascin-W, and these glycoproteins may play a role in directing the migration and proliferation of these stem cells.

Tenascin-C is required for normal Wnt/β-catenin signaling in the whisker follicle stem cell niche.

Whisker follicles have multiple stem cell niches, including epidermal stem cells in the bulge as well as neural crest-derived stem cells and mast cell progenitors in the trabecular region. The neural crest-derived stem cells are a pool of melanocyte precursors. Previously, we found that the extracellular matrix glycoproteins tenascin-C and tenascin-W are expressed near CD34-positive cells in the trabecular stem cell niche of mouse whisker follicles. Here, we analyzed whiskers from tenascin-C knockout mice and found intrafollicular adipocytes and supernumerary mast cells. As Wnt/β-catenin signaling promotes melanogenesis and suppresses the differentiation of adipocytes and mast cells, we analyzed β-catenin subcellular localization in the trabecular niche. We found cytoplasmic and nuclear β-catenin in wild-type mice reflecting active Wnt/β-catenin signaling, whereas β-catenin in tenascin-C knockout mice was mostly cell membrane-associated and thus transcriptionally inactive. Furthermore, cells expressing the Wnt/β-catenin target gene cyclin D1 were enriched in the CD34-positive niches of wild-type compared to tenascin-C knockout mice. We then tested the effects of tenascins on this signaling pathway. We found that tenascin-C and tenascin-W can be co-precipitated with Wnt3a. In vitro, substrate bound tenascins promoted β-catenin-mediated transcription in the presence of Wnt3a, presumably due to the sequestration and concentration of Wnt3a near the cell surface. We conclude that the presence of tenascin-C in whiskers assures active Wnt/β-catenin signaling in the niche thereby maintaining the stem cell pool and suppressing aberrant differentiation, while in the knockout mice with reduced Wnt/β-catenin signaling, stem cells from the trabecular niche can differentiate into ectopic adipocytes and mast cells.

Longitudinal Telomere Erosion in Lymphocyte Subsets of Patients with Atherosclerotic Peripheral Arterial Disease (PAD).

Telomere attrition has been linked to accelerate vascular ageing and seems to predispose for vascular disease. Our aim was to study the telomere length dynamics over time and in subsets of leukocytes from 15 patients with peripheral arterial disease (PAD). The mean telomere length in subsets of leukocytes of patients with PAD was in the normal range of age-related telomere length values from healthy individuals. However, we found significant higher telomere attrition for T-cells from patients with PAD over a time period of six months when compared to the controls. The higher telomere loss in T-cells of patients with PAD most likely reflects a higher cell turnover of this leukocyte subset, which is involved in the process of chronic inflammatory disease underlying vascular disease. Further studies are needed to confirm these data and to assess how far this T-cell telomere attrition will correlate to the extent of the disease.

Direct and Inverse Results on Row Sequences of Hermite-Pad, Approximants

We give necessary and sufficient conditions for the convergence with geometric rate of the common denominators of simultaneous rational interpolants with a bounded number of poles. The conditions are expressed in terms of intrinsic properties of the system of functions used to build the approximants. Exact rates of convergence for these denominators and the simultaneous rational approximants are provided.

Quantitative long-term imaging of the functional representation of a whisker in rat barrel cortex.

In this study, we implement chronic optical imaging of intrinsic signals in rat barrel cortex and repeatedly quantify the functional representation of a single whisker over time. The success of chronic imaging for more than 1 month enabled an evaluation of the normal dynamic range of this sensory representation. In individual animals for a period of several weeks, we found that: (i) the average spatial extent of the quantified functional representation of whisker C2 is surprisingly large--1.71 mm2 (area at half-height); (ii) the location of the functional representation is consistent; and (iii) there are ongoing but nonsystematic changes in spatiotemporal characteristics such as the size, shape, and response amplitude of the functional representation. These results support a modified description of the functional organization of barrel cortex, where although a precisely located module corresponds to a specific whisker, this module is dynamic, large, and overlaps considerably with the modules of many other whiskers.

Activation of single whisker barrel in rat brain localized by functional magnetic resonance imaging.

The previously established cortical representation of rat whiskers in layer IV of the cortex contains distinct cylindrical columns of cellular aggregates, which are termed barrels and correlate in a one-to-one relation to whiskers on the contralateral rat face. In the present study, functional magnetic resonance imaging (fMRI) of the rat brain was used to map whisker barrel activation during mechanical up-down movement (+/- 2.5 mm amplitude at 8 Hz) of single/multiple whisker(s). Multislice gradient echo fMRI experiments were performed at 7 T with in-plane image resolution of 220 x 220 microns, slice thickness of 1 mm, and echo time of 16 ms. Highly significant (P < 0.001) and localized contralateral regions of activation were observed upon stimulation of single/multiple whisker(s). In all experiments (n = 10), the locations of activation relative to bregma and midline were highly correlated with the neuroanatomical position of the corresponding whisker barrels, and the results were reproducible intra- and interanimal. Our results indicate that fMRI based on blood oxygenation level-dependent image contrast has the sensitivity to depict activation of a single whisker barrel in the rat brain. This noninvasive technique will supplement existing methods in the study of rat barrel cortex and should be particularly useful for the long-term investigations of central nervous system in the same animal.

Vita del venerabil padre F. Benedetto da Poggibonzi minore osserv. di S. Francesco nella provincia di Toscana. Cavata dalle notizie ... e scritti del pad. F. Serafino da Prato suo confessore, religioso dell'istesso ordine. /

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