Smooth and Algebraic Invariants of a Group Action: Local and Global Constructions

We provide an algebraic formulation of the moving frame method for constructing local smooth invariants on a manifold under an action of a Lie group. This formulation gives rise to algorithms for constructing rational and replacement invariants. The latter are algebraic over the field of rational invariants and play a role analogous to Cartan's normalized invariants in the smooth theory. The algebraic algorithms can be used for computing fundamental sets of differential invariants.     

The first synthesis of the pentacyclic pyridoacridine marine alkaloids: arnoamines A and B

The synthesis of the marine pyridoacridine alkaloids arnoamines A and B has been accomplished in six and seven steps from 4-chloro-8-methoxy-5-nitroquinoline in 13% and 4% overall yield, respectively.     

Silver sulfide based glasses (I). Glass forming regions,structure and ionic conduction of glasses in GeS2Ag2S and GeS2Ag2SAgI systems

Ag₂S forms with GeS₂ stable glasses over a wide range of compositions (0–55% Ag₂S mol%). In the same system, more complex glasses obtained by dissolving silver iodide have been synthesized with up to 50 mol% AgI.Raman spectra are presented and a vibrational assignment in terms of bridging and non-bridging sulfur has been made. The electrical conductivity of these glasses has been measured over a temperature range (?50°C? + 50°C) and for various compositions by the complex impedance diagram method. At 25°C, the conductivity reached a maximum value of 6 × 10^?3 Ω^?1 cm^?1. Whatever the glass used, the same limit value of conductivity $\text{(σ ? 10 su?2 Ω}{}^{\mathrm{?1}}\text{cm}{}^{\mathrm{?1}}$) and activation energy ($\text{E}{}_{\mathrm{\sigma }}\text{? 0.25}\text{eV}$) are obtained for the highest content of silver iodide. A conduction mechanism is proposed.     

Chionanthus virginicus L.: phytochemical analysis and quality control of herbal drug and herbal preparations

Root barks of Chionanthus virginicus L. are used in homeopathic medicines in the treatment of icterus and hepatitis. The objective of this study is to identify novel secoiridoids and lignans and to develop a simple and reliable HPLC method for the determination of oleuropein, phillyrin, total secoiridoids and total lignans for quality control and stability studies of C. virginicus herbal drug and preparations. Secoiridoids and lignans were purified by preparative HPLC. Compounds previously described were identified by HPLC according to their retention times and UV spectra. Structures of new compounds were determined by NMR. Two compounds namely excelside B and acetoxypinoresinol-4"-O-beta-D-glucoside are described for the first time in the drug. HPLC separation was performed on Symmetry C18 (Waters) by gradient elution using acetonitrile and 0.2% aqueous phosphoric acid. The method was validated for specificity, linearity, precision, accuracy, limits of detection and quantification for simultaneous determination of secoiridoids and lignans in herbal drug and herbal preparations as mother tinctures. The proposed HPLC method is linear in the range studied (r2 > or = 0.9989) for all the analytes. The method is precise with intra- and inter-day variations of less than 4%. The mean recoveries of the analytes range from 99.65 to 102.81%. The method is successfully applied to the quantification of nine compounds belonging to secoiridoids and lignans and for the stability studies of these compounds. The study allowed completing the phytochemical knowledge of C. virginicus. This simple developed assay could be used as tools for routine quality control of C. virginicus herbal drug and herbal medicinal products.     

Testing the use of molecular dynamics to simulate fluorophore motions and FRET

Fluorescence resonance energy transfer (FRET) is commonly used to determine the proximity of fluorophores, but usually many assumptions are required to gain a quantitative relationship between the likelihood of energy transfer and fluorophore separation. Molecular Dynamics (MD) simulations provide one way of checking these assumptions, but before using simulations to study complex systems it is important to make sure that they can correctly model the motions of fluorophores and the likely FRET efficiency in a simple system. Here we simulate a well characterised situation of independent fluorophores in solution so that we can compare the predictions with expected values. Our simulations reproduce the experimental fluorescence anisotropy of Alexafluor488 and predict that of AlexaFluor568. At the ensemble level we are able to reproduce the expected isotropic and dynamic motion of the fluorophores as well as the FRET efficiency of the system. At the level of single donor-acceptor pairs, however, very long simulations are required to adequately sample the translational motion of the fluorophores and more surprisingly also the rotational motion. Our studies demonstrate how MD simulations can be used in more complex systems to check if the dynamic orientation averaging regime applies, if the fluorophores have isotropic orientational motion, to calculate the likely values of the orientation factor κ(2) and to determine the FRET efficiency of the system in both dynamic and static orientational averaging regimes. We also show that it is possible in some situations to create system specific relationships between FRET efficiency and fluorophore separation that can be used to interpret experimental data and find any correlations between κ(2) and separation that may influence distance measurements.     

Screening of a minimal enriched P450 BM3 mutant library for hydroxylation of cyclic and acyclic alkanes

A minimal enriched P450 BM3 library was screened for the ability to oxidize inert cyclic and acyclic alkanes. The F87A/A328V mutant was found to effectively hydroxylate cyclooctane, cyclodecane and cyclododecane. F87V/A328F with high activity towards cyclooctane hydroxylated acyclic n-octane to 2-(R)-octanol (46% ee) with high regioselectivity (92%).     

Collisions of Vortex Filament Pairs

We consider the problem of collisions of vortex filaments for a model introduced by Klein et al. (J Fluid Mech 288:201–248, 1995) and Zakharov (Sov Phys Usp 31(7):672–674, 1988, Lect. Notes Phys 536:369–385, 1999) to describe the interaction of almost parallel vortex filaments in three-dimensional fluids. Since the results of Crow (AIAA J 8:2172–2179, 1970) examples of collisions are searched as perturbations of antiparallel translating pairs of filaments, with initial perturbations related to the unstable mode of the linearized problem; most results are numerical calculations. In this article, we first consider a related model for the evolution of pairs of filaments, and we display another type of initial perturbation leading to collision in finite time. Moreover, we give numerical evidence that it also leads to collision through the initial model. We finally study the self-similar solutions of the model.     

Enhanced sonochemical degradation of bisphenol-A by bicarbonate ions

Sonochemical elimination of organic pollutants can take place through two degradation pathways. Molecules with relatively large Henry’s law constants will be incinerated inside the cavitation bubble, while nonvolatile molecules with low Henry’s law constants will be oxidised by the OH ejected from the bubble of cavitation. Taking bisphenol-A as a model pollutant, this study points out an alternate degradation route, mediated by bicarbonate ions, which is significant for the elimination of micro-pollutants at concentrations present in natural waters. In this process, OH radicals react with bicarbonate ions to produce the carbonate radical, which, unlike the OH radical, can migrate towards the bulk of the solution and therefore induce the degradation of the micro-pollutants present in the bulk solution. As a consequence, initial degradation rate is increased by a factor 3.2 at low concentration of bisphenol-A (0.022 μmol l⁻¹) in presence of bicarbonate in water.     

Nanoparticles from vesicles polymerization. II. Evaluation of their encapsulation capacity

The polymerization of isodecyl acrylate (ISODAC) in vesicles of sodium di-2-ethylhexyl phosphate (SEHP) loaded with dyes or tyrosine was achieved. The study of the polymerization rate–conversion curve of the monomer confirmed that this polymerization was different from other polymerizations known, as it was proposed previously. Then the entrapment of hydrophilic molecules such as tyrosine or brilliant cresyl blue and lipophilic molecules such as sudan III into the nanoparticles was evaluated and confirmed by different methods. While tyrosine was not retained, brilliant cresyl blue and sudan III were entrapped inside nanoparticles. The size and the polarity of the molecules to be encapsulated, which are related to their diffusion coefficients and partition coefficients between water and the nanoparticle, seem to be the parameters responsible of the entrapment. © 1998 John Wiley & Sons, Inc. J Polym Sci A: Polym Chem 36: 3035–3043, 1998