Sur les Transformations Simultanées de Deux Équations Différentielles Linéaires du Deuxième Ordre dans Elles-mêmes

AMS (MOS) Classification 34C20     

Corrosion on prehistoric Cu–Sn-alloys: the influence of artificial environment and storage

The paper contributes to the identification of different corrosion products detected on the cross-section specimens sampled from Bronze Age swords and one helmet found between 60–160 years ago. The objects are kept in 1889 built oak showcases at the Natural History Museum Vienna, having suffered unknown restoration treatments. The identified corrosion products not only affect further eventual treatment in conservation science of copper base objects but also contribute to identify the often unknown find context, which is meant to facilitate archaeological interpretation of the Bronze Age weapons. The analyses of the samples were carried out using SEM-EDXS-EBSD and optical microscopy.     

On applicability of PCA,voxel-wise variance normalization and dimensionality assumptions for sliding temporal window sICA in resting-state fMRI

Subject-level resting-state fMRI (RS-fMRI) spatial independent component analysis (sICA) may provide new ways to analyze the data when performed in the sliding time window. However, whether principal component analysis (PCA) and voxel-wise variance normalization (VN) are applicable pre-processing procedures in the sliding-window context, as they are for regular sICA, has not been addressed so far. Also model order selection requires further studies concerning sliding-window sICA. In this paper we have addressed these concerns. First, we compared PCA-retained subspaces concerning overlapping parts of consecutive temporal windows to answer whether in-window PCA and VN can confound comparisons between sICA analyses in consecutive windows. Second, we compared the PCA subspaces between windowed and full data to assess expected comparability between windowed and full-data sICA results. Third, temporal evolution of dimensionality estimates in RS-fMRI data sets was monitored to identify potential challenges in model order selection in a sliding-window sICA context. Our results illustrate that in-window VN can be safely used, in-window PCA is applicable with most window widths and that comparisons between windowed and full data should not be performed from a subspace similarity point of view. In addition, our studies on dimensionality estimates demonstrated that there are sustained, periodic and very case-specific changes in signal-to-noise ratio within RS-fMRI data sets. Consequently, dimensionality estimation is needed for well-founded model order determination in the sliding-window case. The observed periodic changes correspond to a frequency band of ≤ 0.1 Hz, which is commonly associated with brain activity in RS-fMRI and become on average most pronounced at window widths of 80 and 60 time points (144 and 108 s, respectively). Wider windows provided only slightly better comparability between consecutive windows, and 60 time point or shorter windows also provided the best comparability with full-data results. Further studies are needed to determine the cause for dimensionality variations.     

Neutron radiation damage in zirconium and its alloys

There has been much research and speculation recently on the nature of radiation induced defects in zirconium and its alloys, and in particular on the absence of voids at high fluences and temperatures in the range 0.3 to 0.5 T _m (T _m is the absolute melting temperature). Wolfenden and Farrell¹ have reviewed the evidence and suggest that α-Zr has so far resisted void formation during neutron irradiation because of: (a) the absence of a dislocation (loop or tangle) structure and/or (b) a low insoluble gas (e.g. helium) content.     

Enantioselective Syntheses of the Methylene- and Fluoromethylene-Phosphonate Analogues of 3-Phospho-D-Glyceric Acid

Abstract

The racemic methylene analogue of 3-phospho-D-glyceric acid^1–4 has been shown to be a viable substrate for the combined action of 3-phosphoglycerate kinase, PGK, and glyceraldehyde 3-phosphate dehydrogenase, GPD. We have shown that replacement of CH₂ by CHF or CF₂ in a variety of nucleotide analogues^4,5 can lead to improved Performance as enzyme substrates or inhibitors. We have therefore undertaken enantiospecific syntheses of the methylene- and fluoro-methylene-analogues of 3-phospho-D-glyceric acid to investigate their interaction with PGK and GPD and explore whether the fluorine atom in the latter can mimic an oxygen lone-pair in binding to enzymes.     

CHIROPTICAL PROPERTIES OF 1-DEOXY-1-THIOGALACTOPYRANOSIDES

Abstract

Continuing our studies of optically active sulfides we have investigated flexible systems incorporating the 1.3-O,S-chromophore, e.q., alkyl α-and B-D-thiogalactopyranosides and their tetraacetates. Although most substances were known from the literature, constitutional, configurational, and conformational assignments had hardly ever been proved rigorously; we therefore had to provide a firm basis by a systematic analysis of the ¹H and ¹³C NMR spectra of thioglycosides, the complexity of the carbohydrate signals necessitating high field studies. The compounds were thus, in the end, correlated with the natural thiogalactoside lincomycin, whose structure including its absolute configuration is known from X-ray investigations. CD curves have been measured at various temperatures in the range of 185–300 nm on a commercial spectropolarimeter equipped with a data processor and connected to a table calculator and plotter, directly furnishing data suitable for, e.g., Kronig-Kramers type transformations or curve analysis and displaying the results. These CD data were correlated with the UV spectra and the ORD curves of the substrates. Typically, the UV curves are devoid of detail except in the case of the acetates, where a shoulder in the region of the n→π? transition is discernible. In the ORD, the Cotton effects (CE) are largely suppressed by the background contribution of the “invisible giant” in the far UV. In the thiogalactopyranosides all accessible Cotton effects are associated with electron transitions within the sulfur or possibly the coupled O-C-S chromophore, whereas a relatively small negative, composite CE is contributed by the acetate carbonyl groups in the acetates.