Regularization of an iterative algorithm for the extrapolation of bandlimited signals

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Regularized iterative and noniterative procedures for object restoration in the presence of noise :an error analysis

An analysis is carried out, using the prolate spheroidal wave functions, of certain regularized iterative and noniterative methods previously proposed for the achievement of object restoration (or, equivalently, spectral extrapolation) from noisy image data. The ill-posedness inherent in the problem is treated by means of a regularization parameter, and the analysis shows explicitly how the deleterious effects of the noise are then contained. The error in the object estimate is also assessed, and it is shown that the optimal choice for the regularization parameter depends on the signal-to-noise ratio. Numerical examples are used to demonstrate the performance of both unregularized and regularized procedures and also to show how, in the unregularized case, artefacts can be generated from pure noise. Finally, the relative error in the estimate is calculated as a function of the degree of superresolution demanded for reconstruction problems characterized by low space–bandwidth products.

Resolution Limits in Full- and Limited-Angle Tomography

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A note on stopping rules for iterative regularisation methods and filtered SVD

"This volume contains the proceedings of a meeting held at Montpellier from December 1st to December 5th 1986 .sponsored by the Centre national de la recherche scientifique ."--Preface.

Super-resolution in confocal scanning microscopy: generalized inversion formulae

It was shown in previous papers that the resolution of a confocal scanning microscope can be significantly improved by measuring, for each scanning position, the full diffraction image and by inverting these data to recover the value of the object at the confocal point. In the present work, the authors generalize the data inversion procedure by allowing, for reconstructing the object at a given point, to make use of the data samples recorded at other scanning positions. This leads them to a family of generalized inversion formulae, either exact or approximate. Some previously known formulae are re-derived here as special cases in a particularly simple way.

Inversion from redundant data

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Iterative inversion of experimental data in weighted spaces

We present iterative algorithms for solving linear inverse problems with discrete data and compare their performances with the method of singular function expansion, in view of applications in optical imaging and particle sizing.

The Use of Singular Systems and other Inversion Methods in Weighted L2- spaces

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Super-resolution in confocal scanning microscopy: II :The incoherent case

For pt.I see ibid. vol.3, p.195 (1987). The authors have shown that the resolution of a confocal scanning microscope can be improved by recording the full image at each scanning point and then inverting the data. These analyses were restricted to the case of coherent illumination. They investigate, along similar lines, the incoherent case, which applies to fluorescence microscopy. They investigate the one-dimensional and two-dimensional square-pupil problems and they prove, by means of numerical computations of the singular value spectrum and of the impulse response function, that for a signal-to-noise ratio of, say 10%, it is possible to obtain an improvement of approximately 60% in resolution with respect to the conventional incoherent light confocal microscope. This represents a working bandwidth of 3.5 times the Rayleigh limit.

Heparin-binding hemagglutinin, from an extrapulmonary dissemination factor to a powerful diagnostic and protective antigen against tuberculosis.

Interactions of Mycobacterium tuberculosis with macrophages have long been recognized to be crucial to the pathogenesis of tuberculosis. The role of non-phagocytic cells is less well known. We have discovered a M. tuberculosis surface protein that interacts specifically with non-phagocytic cells, expresses hemagglutination activity and binds to sulfated glycoconjugates. It is therefore called heparin-binding hemagglutinin (HBHA). HBHA-deficient M. tuberculosis mutant strains are significantly impaired in their ability to disseminate from the lungs to other tissues, suggesting that the interaction with non-phagocytic cells, such as pulmonary epithelial cells, may play an important role in the extrapulmonary dissemination of the tubercle bacillus, one of the key steps that may lead to latency. Latently infected human individuals mount a strong T cell response to HBHA, whereas patients with active disease do not, suggesting that HBHA is a good marker for the immunodiagnosis of latent tuberculosis, and that HBHA-specific Th1 responses may contribute to protective immunity against active tuberculosis. Strong HBHA-mediated immuno-protection was shown in mouse challenge models. HBHA is a methylated protein and its antigenicity in latently infected subjects, as well as its protective immunogenicity strongly depends on the methylation pattern of HBHA. In both mice and man, the HBHA-specific IFN-gamma was produced by both the CD4(+) and the CD8(+) T cells. Furthermore, the HBHA-specific CD8(+) T cells expressed bactericidal and cytotoxic activities to mycobacteria-infected macrophages. This latter activity is most likely perforin mediated. Together, these observations strongly support the potential of methylated HBHA as an important component in future, acellular vaccines against tuberculosis.

In vitro expansion of CD4+CD25highFOXP3+CD127low/- regulatory T cells from peripheral blood lymphocytes of healthy Mycobacterium tuberculosis-infected humans.

CD4+CD25highFOXP3+ regulatory T (Treg) cells have recently been found at elevated levels in the peripheral blood of tuberculosis patients, compared to Mycobacterium tuberculosis latently infected (LTBI) healthy individuals and non-infected controls. Here, we show that CD4+CD25highFOXP3+ T lymphocytes can be expanded in vitro from peripheral blood mononuclear cells (PBMC) of LTBI individuals, but not of uninfected controls by incubating them with BCG in the presence of TGF-beta. These expanded cells from the PBMC of LTBI subjects expressed CTLA-4, GITR and OX-40, but were CD127low/- and have therefore the phenotype of Treg cells. In addition, they inhibited in a dose-dependant manner the proliferation of freshly isolated mononuclear cells in response to polyclonal stimulation, indicating that they are functional Treg lymphocytes. In contrast, incubation of the PBMC with BCG alone preferentially induced activated CD4+ T cells, expressing CD25 and/or CD69 and secreting IFN-gamma. These results show that CD4+CD25highFOXP3+ Treg cells can be expanded or induced in the peripheral blood of LTBI individuals in conditions known to predispose to progression towards active tuberculosis and may therefore play an important role in the pathogenesis of the disease.

Heparin-binding-hemagglutinin-induced IFN-gamma release as a diagnostic tool for latent tuberculosis.

BACKGROUND: The detection of latent tuberculosis infection (LTBI) is a major component of tuberculosis (TB) control strategies. In addition to the tuberculosis skin test (TST), novel blood tests, based on in vitro release of IFN-gamma in response to Mycobacterium tuberculosis-specific antigens ESAT-6 and CFP-10 (IGRAs), are used for TB diagnosis. However, neither IGRAs nor the TST can separate acute TB from LTBI, and there is concern that responses in IGRAs may decline with time after infection. We have therefore evaluated the potential of the novel antigen heparin-binding hemagglutinin (HBHA) for in vitro detection of LTBI. METHODOLOGY AND PRINCIPAL FINDINGS: HBHA was compared to purified protein derivative (PPD) and ESAT-6 in IGRAs on lymphocytes drawn from 205 individuals living in Belgium, a country with low TB prevalence, where BCG vaccination is not routinely used. Among these subjects, 89 had active TB, 65 had LTBI, based on well-standardized TST reactions and 51 were negative controls. HBHA was significantly more sensitive than ESAT-6 and more specific than PPD for the detection of LTBI. PPD-based tests yielded 90.00% sensitivity and 70.00% specificity for the detection of LTBI, whereas the sensitivity and specificity for the ESAT-6-based tests were 40.74% and 90.91%, and those for the HBHA-based tests were 92.06% and 93.88%, respectively. The QuantiFERON-TB Gold In-Tube (QFT-IT) test applied on 20 LTBI subjects yielded 50% sensitivity. The HBHA IGRA was not influenced by prior BCG vaccination, and, in contrast to the QFT-IT test, remote (>2 years) infections were detected as well as recent (<2 years) infections by the HBHA-specific test. CONCLUSIONS: The use of ESAT-6- and CFP-10-based IGRAs may underestimate the incidence of LTBI, whereas the use of HBHA may combine the operational advantages of IGRAs with high sensitivity and specificity for latent infection.

Regulatory T cells depress immune responses to protective antigens in active tuberculosis.

RATIONALE: Tuberculosis (TB) remains a leading cause of death, and the role of T-cell responses to control Mycobacterium tuberculosis infections is well recognized. Patients with latent TB infection develop strong IFN-gamma responses to the protective antigen heparin-binding hemagglutinin (HBHA), whereas patients with active TB do not. OBJECTIVES: We investigated the mechanism of this difference and evaluated the possible involvement of regulatory T (Treg) cells and/or cytokines in the low HBHA T-cell responses of patients with active TB. METHODS: The impact of anti-transforming growth factor (TGF)-beta and anti-IL-10 antibodies and of Treg cell depletion on the HBHA-induced IFN-gamma secretion was analyzed, and the Treg cell phenotype was characterized by flow cytometry. MEASUREMENTS AND MAIN RESULTS: Although the addition of anti-TGF-beta or anti-IL-10 antibodies had no effect on the HBHA-induced IFN-gamma secretion in patients with active TB, depletion of CD4(+)CD25(high)FOXP3(+) T lymphocytes resulted in the induction by HBHA of IFN-gamma concentrations that reached levels similar to those obtained for latent TB infection. No effect was noted on the early-secreted antigen target-6 or candidin T-cell responses. CONCLUSIONS: Specific CD4(+)CD25(high)FOXP3(+) T cells depress the T-cell-mediated immune responses to the protective mycobacterial antigen HBHA during active TB in humans.

How a different look at latency can help to develop novel diagnostics and vaccines against tuberculosis.

Mycobacterium tuberculosis is one of the most successful human pathogens. It kills every year approximately 1.5 - 2 million people, and at present a third of the human population is estimated to be infected. Fortunately, only a relatively small proportion of the infected individuals will progress to active disease, and most will maintain a latent infection. Although a latent infection is clinically silent and not contagious, it can reactivate to cause highly contagious pulmonary tuberculosis, the most prevalent form of the disease in adults. Therefore, a thorough understanding of latency and reactivation may help to develop novel control strategies against tuberculosis. The most widely held view is that the mycobacteria are imprisoned in granulomatous structures during latency, where they can survive in a non-replicating, dormant form until reactivation occurs. However, there is no hard data to sustain that the reactivating mycobacteria are indeed those that laid dormant within the granulomas. In this review an alternative model, based on evidence from early studies, as well as recent reports is presented, in which the latent mycobacteria reside outside granulomas, within non-macrophage cell types throughout the infected body. Potential implications for new diagnostic and vaccine design are discussed.

In situ chemical modification of peptide microarrays. Application to the study of the antibody responses to methylated antigens

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