380 research outputs found

    Geodesic Flow on the Normal Congruence of a Minimal Surface

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    We study the geodesic flow on the normal line congruence of a minimal surface in R3{\Bbb{R}}^3 induced by the neutral K\"ahler metric on the space of oriented lines. The metric is lorentz with isolated degenerate points and the flow is shown to be completely integrable. In addition, we give a new holomorphic description of minimal surfaces in R3{\Bbb{R}}^3 and relate it to the classical Weierstrass representation.Comment: AMS-LATEX 8 pages 2, figure

    Level sets of functions and symmetry sets of smooth surface sections

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    We prove that the level sets of a real C^s function of two variables near a non-degenerate critical point are of class C^[s/2] and apply this to the study of planar sections of surfaces close to the singular section by the tangent plane at hyperbolic points or elliptic points, and in particular at umbilic points. We also analyse the cases coming from degenerate critical points, corresponding to elliptic cusps of Gauss on a surface, where the differentiability is now reduced to C^[s/4]. However in all our applications to symmetry sets of families of plane curves, we assume the C^infty smoothness.Comment: 15 pages, Latex, 6 grouped figures. The final version will appear in Mathematics of Surfaces. Lecture Notes in Computer Science (2005

    MiR-142-3p is a RANKL-dependent inducer of cell death in osteoclasts

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    MicroRNA are small, non-coding, single-stranded RNAs that are estimated to regulate ~60% of the human genome. MiRNA profiling of monocyte-to-osteoclast differentiation identified miR-142-3p as a miRNA that is significantly, differentially expressed throughout osteoclastogenesis. Enforced expression of miR-142-3p via transient transfection with miR-142-3p mimic inhibited cell-to-cell contact and fusion, decreased protein kinase C alpha expression, and ultimately reduced cell viability. miR-142-3p was also identified as significantly differentially expressed during monocyte-to-macrophage differentiation and overexpression of miR-142-3p prevented their conversion to osteoclasts. Furthermore, the inhibitory effect of miR-142-3p on osteoclastogenesis extended to the conversion of a third osteoclast precursor cell type- dendritic cells. These results demonstrate miR-142-3p to be a negative regulator of osteoclastogenesis from the 3 main precursor cell types: monocytes, macrophages and dendritic cells. Importantly, decreased survival was dependent upon both miR-142-3p expression and RANK-signaling, with no harmful effects detected in the absence of this combination. As such, miR-142-3p represents a novel target for the selective removal of osteoclasts by targeting of osteoclastogenic pathways

    Demonstration of Niobium Tin in 218 MHz Low-beta Quarter Wave Accelerator Cavity

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    A 218 MHz quarter wave niobium cavity has been fabricated for the purpose of demonstrating Nb3Sn technology on a low-beta accelerator cavity. Niobiumtin has been established as a promising next generation SRF material, but development has focused primarily in high-beta elliptical cell cavities. This material has a significantly higher TC than niobium, allowing for design of higher frequency quarter wave cavities (that are subsequently smaller) as well as for significantly lowered cooling requirements (possibly leading to cryocooler based designs). The fabrication, initial cold testing, and Nb3Sn coating are discussed as well as test plans and details of future applications.Comment: 21st Intl Conf Radio Frequency Superconductivity (SRF 2023

    REDRISK: reduction of the virus risk in shellfish harvesting areas

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    Filter feeding bivalve shellfish can accumulate human pathogenic bacteria and viruses if grown in sewage-contaminated waters. Current consumer protection legislation relies on classification of harvesting areas based on their sanitary quality, using E coli as an indicator of sewage contamination. Advances in viral monitoring have shown that E coli can underestimate the extent of the contamination. The most common cause of gastroenteritis associated with shellfish is norovirus, commonly known as winter vomiting virus. The REDRISK project was undertaken to investigate the main environmental factors that cause viral contamination in shellfish. The REDRISK project is part of a EU research pillar with parallel research being undertaken in the UK, France and Spain. A recently developed technique to quantify norovirus in shellfish, real-time PCR, has been used in the REDRISK project. Clew Bay, in Co. Mayo was chosen as the study area in Ireland. The bay is generally considered to have good water quality but with certain areas subject to intermittent sewage contamination. The cooperation of local producers and organisations such as the Clew Bay Marine Forum and the Native Oyster Co-op greatly helped the project. The project was divided into a two-phased approach. Phase one involved the identification of contamination sources impacting the bay through a sanitary survey and selection of appropriate sites for further study. Results of the first phase of this study were presented previously at this forum (Keaveney, et al 2006) and the characteristics of the sites selected for study and locations within the bay are shown in table 1 and figure 1 respectively. The second phase of the project focused on monitoring environmental conditions and microbiological levels in shellfish to identify environmental conditions leading to viral contamination. This paper reports the finding of this monitoring

    Detection of human viruses in shellfish and update on REDRISK research project, Clew Bay, Co. Mayo

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    This paper describe the progress in norovirus detection methods and initial results from the REDRISK study

    (In)finite extent of stationary perfect fluids in Newtonian theory

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    For stationary, barotropic fluids in Newtonian gravity we give simple criteria on the equation of state and the "law of motion" which guarantee finite or infinite extent of the fluid region (providing a priori estimates for the corresponding stationary Newton-Euler system). Under more restrictive conditions, we can also exclude the presence of "hollow" configurations. Our main result, which does not assume axial symmetry, uses the virial theorem as the key ingredient and generalises a known result in the static case. In the axially symmetric case stronger results are obtained and examples are discussed.Comment: Corrections according to the version accepted by Ann. Henri Poincar

    An Auxin-Inducible Element in Soybean SAUR Promoters

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