Facile synthesis of naphthoquinone spiroketals by diastereoselective oxidative [3 + 2] cycloaddition

A highly selective oxidative [3 + 2] cycloaddition of chiral enol ethers and hydroxynaphthoquinone is described. This convergent strategy is amenable to an enantioselective synthesis of beta-rubromycin and related naphthoquinone spiroketals. Several compounds were found to inhibit DNA-polymerase and telomerase in a manner resembling alpha-rubromycin and beta-rubromycin.     

Resonant emission of UO<Subscript>2</Subscript>, U<Subscript>3</Subscript>O<Subscript>8</Subscript>, and UO<Subscript>2+<Emphasis Type="Italic">x</Emphasis></Subscript> valence electrons under SR excitation near the O<Subscript>4,5</Subscript>(U) absorption edge

The structure of the resonant electron emission (REE) spectra of UO₂ (REE appears under the excitation with synchrotron radiation near the O_4,5(U) absorption edge at ∼100 eV and ∼110 eV) is studied with regard to the X-ray O_4,5(U) absorption spectrum of UO₂ and a quantitative scheme of molecular orbitals based on the X-ray electron spectroscopy data and the results of a relativistic calculation of the electronic structure of UO₂. The structure of the REE spectra of U₃O₈ and UO_2+x is studied for comparison, and the effect of the uranium chemical environment in oxides on it is found. The appearance of such a structure reflects the processes of excitation and decay involving the U5d and electrons of the outer valence MOs (OVMOs, from 0 to ∼13 eV) and inner valence MOs (IVMOs, from ∼13 eV to ∼35 eV) of the studied oxides. It is noted that REE spectra show the partial density of states of U6p and U5f electrons. Based on the structure of REE spectra, it is revealed that U5f electrons directly participate (without losing the f nature) in the chemical bonding of uranium oxides and are delocalized within CMOs (in the middle of the band), which results in the enhancement of the intensity of the REE spectra of CMO electrons during resonances. The U6d electrons are found to be localized near the bottom of the outer valence band and are observed in the REE spectra of the studied oxides as a characteristic maximum at 10.8 eV. It is confirmed that U6p electrons are effectively involved in the formation of IVMOs, which leads to the appearance of the structure in the region of IVMO electron energies during resonances. This structure depends on the chemical environment of uranium in the considered oxides.     

Mechanistic studies of the lithium enolate of 4-fluoroacetophenone: rapid-injection NMR study of enolate formation, dynamics, and aldol reactivity

Lithium enolates are widely used nucleophiles with a complicated and only partially understood solution chemistry. Deprotonation of 4-fluoroacetophenone in THF with lithium diisopropylamide occurs through direct reaction of the amide dimer to yield a mixed enolate-amide dimer (3), then an enolate homodimer (1-Li)(2), and finally an enolate tetramer (1-Li)(4), the equilibrium structure. Aldol reactions of both the metastable dimer and the stable tetramer of the enolate were investigated. Each reacted directly with the aldehyde to give a mixed enolate-aldolate aggregate, with the dimer only about 20 times as reactive as the tetramer at -120 °C.     

Penalized Functional Regression

We develop fast fitting methods for generalized functional linear models. The functional predictor is projected onto a large number of smooth eigenvectors and the coefficient function is estimated using penalized spline regression; confidence intervals based on the mixed model framework are obtained. Our method can be applied to many functional data designs including functions measured with and without error, sparsely or densely sampled. The methods also extend to the case of multiple functional predictors or functional predictors with a natural multilevel structure. The approach can be implemented using standard mixed effects software and is computationally fast. The methodology is motivated by a study of white-matter demyelination via diffusion tensor imaging (DTI). The aim of this study is to analyze differences between various cerebral white-matter tract property measurements of multiple sclerosis (MS) patients and controls. While the statistical developments proposed here were motivated by the DTI study, the methodology is designed and presented in generality and is applicable to many other areas of scientific research. An online appendix provides R implementations of all simulations.     

K- and L-theory of group rings over GL n (Z)

We prove the K- and L-theoretic Farrell-Jones Conjecture (with coefficients in additive categories) for GL _n (Z).     

Simulation of Autofrettage in Curvilinear Coordinates

Pressure vessels subjected to high mechanical loadings can fail due to microscopic crack growth, i.e., stress corrosion cracking. A popular way to increase the crack resistance of a structure is by autofrettage. The standard approach to obtain a numerical solution for the involved fields is to discretize w.r.t. Cartesian coordinates as implemented in common commercial FE programs. However, this approach is computationally costly in comparison to pure elastic simulations—often rendering this method practically unfeasible. The current work shows that autofrettage can be simulated more efficiently in extensive bodies that can be described by a bijective map where certain symmetries are available in load and form. The discretization and the mathematical formalism of this approach in curvilinear coordinates are described. (© 2014 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)     

Fundamental aspects of molecular plating and production of smooth crack-free Nd targets

A general understanding of the molecular plating process was obtained recently, which serves as a first step towards further improvements of the method aiming, for example, at the production of smooth, crack-free targets for nuclear physics applications. Constant current density electrolysis experiments were performed in organic media containing the model electrolyte Nd(NO₃)₃·6H₂O. The process was investigated by considering influences of the electrolyte concentration (0.11, 0.22, 0.44 mM), the surface roughness of the deposition substrates (a few tens of nm), and the plating solvent (an isopropanol/isobutanol mixture, and N,N-dimethylformamide). The response of the process to changes of these parameters was monitored by recording cell potential curves and by characterizing the obtained deposits with γ-ray spectroscopy, X-ray photoelectron spectroscopy, and atomic force microscopy. By changing the solvent from isopropanol/isobutanol mixtures to N,N-dimethylformamide, we have succeeded in producing smooth, crack-free Nd targets.     

Improved sampling for simulations of interfacial membrane proteins: application of generalized shadow hybrid Monte Carlo to a peptide toxin/bilayer system

The computational costs associated with performing molecular dynamics (MD) simulations are still somewhat prohibitive and therefore limit the time and length scales that can be currently achieved. One approach to overcoming the limited size and duration of a simulation is to reduce the amount of detail when representing a system of interest, generally termed "coarse-graining". An alternative approach is via more efficient sampling methods that offer an enhanced search of a complex multidimensional energy landscape. One could also combine enhanced sampling methods with a coarse-grained (CG) force field. Here, we apply generalized shadow hybrid Monte Carlo (GSHMC), a recently proposed simulation protocol, to a biomolecular system of moderate size and show that GSHMC offers improved sampling compared to standard MD simulation. Our test system is a CG representation of a small peptide toxin interacting with a phospholipid bilayer. Specifically, we show that GSHMC allows for a quicker localization of the toxin to its equilibrium location of interaction at the headgroup/water interface of the bilayer. GSHMC therefore potentially allows for future exploration of larger and more complex systems over longer periods, which would otherwise be impractical to perform using conventional simulation methodology.