175,132 research outputs found

    Perelman's entropy functional at type I singularities of the Ricci flow

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    We study blow-ups around fixed points at Type I singularities of the Ricci flow on closed manifolds using Perelman's W-functional. First, we give an alternative proof of the result obtained by Naber (2010) and Enders-Müller-Topping (2011) that blow-up limits are non-flat gradient shrinking Ricci solitons. Our second and main result relates a limit W-density at a Type I singular point to the entropy of the limit gradient shrinking soliton obtained by blowing-up at this point. In particular, we show that no entropy is lost at infinity during the blow-up process.We study blow--ups around fixed points at Type I singularities of the Ricci flow on closed manifolds using Perelman's W-functional. First, we give an alternative proof of the result obtained by Naber and Enders-Mueller-Topping that blow-up limits are non-flat gradient shrinking Ricci solitons. Our second and main result relates a limit W-density at a Type I singular point to the "entropy" of the limit gradient shrinking soliton obtained by blowing-up at this point. In particular, we show that no entropy is lost at infinity during the blow-up process

    Nietzsches Yori(c)k. Falsche Fährten und verlorene Leser in Nietzsches Bibliothek

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    Nietzsches Yori(c)k. False Tracks and Lost Readers in Nietzsche’s Library. Not everything in Nietzsche’s library is what it seems, e. g. his volume of the works of Laurence Sterne. This article shows that special care must be taken when interpreting Nietzsche’s supposedly secure sources and that a positivistically oriented “Quellenforschung” that is fixed on markings is bound to fail if the whole context of Nietzsche’s philosophy and the way Nietzsche reads is not taken into account

    En face optical coherence tomography of foveal microstructure in full-thickness macular hole: A model to study perifoveal müller cells

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    Purpose To characterize perifoveal intraretinal cavities observed around full-thickness macular holes (MH) using en face optical coherence tomography and to establish correlations with histology of human and primate maculae. Design Retrospective nonconsecutive observational case series. Methods Macular en face scans of 8 patients with MH were analyzed to quantify the areas of hyporeflective spaces, and were compared with macular flat mounts and sections from 1 normal human donor eye and 2 normal primate eyes (Macaca fascicularis). Immunohistochemistry was used to study the distribution of glutamine synthetase, expressed by Müller cells, and zonula occludens-1, a tight-junction protein. Results The mean area of hyporeflective spaces was lower in the inner nuclear layer (INL) than in the complex formed by the outer plexiform (OPL) and the Henle fiber layers (HFL): 5.0 × 10-3 mm2 vs 15.9 × 10-3 mm2, respectively (P <.0001, Kruskal-Wallis test). In the OPL and HFL, cavities were elongated with a stellate pattern, whereas in the INL they were rounded and formed vertical cylinders. Immunohistochemistry confirmed that Müller cells followed a radial distribution around the fovea in the frontal plane and a "Z-shaped" course in the axial plane, running obliquely in the OPL and HFL and vertically in the inner layers. In addition, zonula occludens-1 co-localized with Müller cells within the complex of OPL and HFL, indicating junctions in between Müller cells and cone axons. Conclusion The dual profile of cavities around MHs correlates with Müller cell morphology and is consistent with the hypothesis of intra- or extracellular fluid accumulation along these cells

    Solostücke, Arien, Lieder und Konzerte.

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    T.-p. in German and English. --- -- v. 2. Variationen und Polonaise / Bernhardt Knop ; Conzert mit dem Choral : Wachet auf, ruft uns die Stimme / C.G. Müller ; Conzertino / C. Henning ; Conzertino / C.F. Kaestner ; Conzertino [F major] / H. Neumann ; Concert-Militair / J. Kühn ; Fantasie / Bernh. Knoop ; Conzertino [B♭ major] / C.G. Müller ; Conzertino / G. Wichtl

    A barca Arminda.

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    At head of title: Muller dos Reis (Reis Netto).Mode of access: Internet.Author's signature: Müller dos Reis. Reis Netto

    Resting energy expenditure assessment in anorexia nervosa: comparison of indirect calorimetry, a multisensor monitor and the Müller equation.

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    The aim of this study was to compare the estimations provided by three different means of measuring the resting energy expenditure (REE) in anorexia nervosa (AN) patients. REE was measured, after 24 h of refeeding, using a portable multisensor body monitor [SenseWear Pro2 Armband (SWA)], FitMateTM method and the Müller equation for individuals with body mass index < 18.5, the latter being based on dual-energy X-ray absorptiometry assessment of body composition. The mean differences between REE values estimated by SWA and those provided by the Müller equation and the FitMateTM method were significantly different from zero in both cases. In contrast, the mean differences between FitMateTM method and Müller equation were weakly significantly different from zero, and a significant correlation was noted between these two methods. In conclusion, the SWA does not appear to be an alternative to FitMateTM and Müller equation methods for assessing REE in AN patients

    Resting energy expenditure assessment in anorexia nervosa: comparison of indirect calorimetry, a multisensor monitor and the Müller equation.

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    The aim of this study was to compare the estimations provided by three different means of measuring the resting energy expenditure (REE) in anorexia nervosa (AN) patients. REE was measured, after 24 h of refeeding, using a portable multisensor body monitor [SenseWear Pro2 Armband (SWA)], FitMateTM method and the Müller equation for individuals with body mass index < 18.5, the latter being based on dual-energy X-ray absorptiometry assessment of body composition. The mean differences between REE values estimated by SWA and those provided by the Müller equation and the FitMateTM method were significantly different from zero in both cases. In contrast, the mean differences between FitMateTM method and Müller equation were weakly significantly different from zero, and a significant correlation was noted between these two methods. In conclusion, the SWA does not appear to be an alternative to FitMateTM and Müller equation methods for assessing REE in AN patients

    Q. Enni Carminum reliquiae : accedunt Cn. Naevi Belli Poenici quae supersunt /

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    Includes index.Bound with: Müller, Lucian. Quintus Ennius, eine Einleitung in das Studium der römischen Poesie. 1884.Mode of access: Internet

    Die griechischen privat- und kriegsaltertümer.

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    The "Privataltertümer" by Müller, p.[1]-268, 4 fold. pl.; the "Kriegsaltertümer" by Bauer, p.[269]-469, XII pl., printed on both sides.Mode of access: Internet

    Spatial and temporal expressions of prune reveal a role in Müller gliogenesis during Xenopus retinal development

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    The development of stratified retinal cell architecture is highly conserved in all vertebrates, implying that a common fundamental molecular mechanism is involved in the generation of the organized retina. However, the detailed molecular mechanisms of retinal development are not fully understood. Here we have identified the Xenopus ortholog of prune and show that it is expressed in both differentiating and differentiated retinal domains during development. Interestingly, these spatial and temporal expression patterns coincide with the expression of prune binding partners, the NM23 family members. Overexpression of prune in retinal precur- sor cells significantly increases the ratio of Müller glial cells as observed by modulation of NM23 activity (Mochizuki et al., 2009). However, a mutated form of prune that has replacement of four aspartate (D) res- idues (D'Angelo et al., 2004), essential for phosphodiesterase activity, does not exhibit gliogenic activity. Our observations suggest that Xenopus prune may regulate Müller gliogenesis through phosphodiesterase- mediated regulation of NM23 family members
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