A characteristic-Galerkin approximation to a system of shallow water equations

Summary. Characteristic methods are known to handle advective flow better than traditional Galerkin methods and allow large time steps to be taken when compared to standard time-stepping methods. In this paper, we investigate a characteristic-Galerkin approximation to the 2-dimensional system of shallow water equations. We derive bounds for elevation and velocity, showing these to be optimal for velocity in . Received October 15, 1998 / Revised version received March 13, 1999 / Published online April 20, 2000     

Utilization of a benzyl functionalized polymeric ionic liquid for the sensitive determination of polycyclic aromatic hydrocarbons; parabens and alkylphenols in waters using solid-phase microextraction coupled to gas chromatography-flame ionization detection

The functionalized polymeric ionic liquid poly(1-(4-vinylbenzyl)-3-hexadecylimidazolium bis[(trifluoromethyl)sulfonyl]imide (poly(VBHDIm(+)NTf(2)(-))) has been used as successful coating in solid-phase microextraction (SPME) to determine a group of fourteen endocrine disrupting chemicals (ECDs), including polycyclic aromatic hydrocarbons (PAHs), alkylphenols, and parabens, in several water samples. The performance of the PIL fiber in direct immersion mode SPME followed by gas chromatography (GC) with flame-ionization detection (FID) is characterized with average relative recoveries higher than 96.1% from deionized waters and higher than 76.7% from drinking bottled waters, with precision values (RSD) lower than 13% for deionized waters and lower than 14% for drinking bottled waters (spiked level of 1 ng mL(-1)), when using an extraction time of 60 min with 20 mL of aqueous sample. Detection limits varied between 9 ng L(-1) and 7 ng mL(-1). A group of real water samples, including drinking waters, well waters, and swimming pool waters, have been analyzed under the optimized conditions. A comparison has also been carried out with the commercial SPME coatings: polydimethylsyloxane (PDMS) 30 μm, and polyacrylate (PA) 85 μm. The functionalized PIL fiber (～12 μm) demonstrated to be superior to both commercial fibers for the overall group of analytes studied, in spite of its lower coating thickness. A normalized sensitivity parameter is proposed as a qualitative tool to compare among fiber materials, being higher for the poly(VBHDIm(+)NTf(2)(-)) coating. Furthermore, the partition coefficients of the studied analytes to the coating materials have been determined. A quantitative comparison among the partition coefficients also demonstrates the superior extraction capability of the functionalized PIL sorbent coating.     

1,3-Dipolar cycloaddition of 1,2-o-isopropylidene-α-d-xylopentadialdo-1,4-furanosenitrile oxide to some alkenes

The synthesis of five 3-(1,2-O-isopropylidene-α-D-xylofuranosyl)-5-substituted-2-isoxazolines obtained by 1,3-dipolar cycloaddition are described, as well as the intermediate products from the synthetic route. The physical and spectroscopic characterization of these compounds are reported.     

Alternative catalysts for MTBE production

MTBE synthesis has been studied over catalysts having different acidities: zeolites, fluorine-promoted SiO₂−Al₂O₃ and sulfur-promoted ZrO₂. Some catalysts perform similarly to acidic resins and a clear relationship between acidity and activity is not apparent.     

Synthesis of tetrahydrobenzoxazepine acetals with electron-withdrawing groups on the nitrogen atom. Novel scaffolds endowed with anticancer activity against breast cancer cells

Synthetic approaches that have led to (RS)-3-methoxy-N-substituded-1,2,3,5-tetrahydro-4,1-benzoxazepines with different electron-withdrawing groups, and (RS)-2-methoxy-N-trifluoroacetyl-2,3,4,5-tetrahydro-1,4-benzoxazepine are described. These novel synthons that were designed to be used as scaffolds for the preparation of new O,N-acetals as anticancer agents, unexpectedly proved to show antiproliferative activity against the MCF-7 breast cancer cell line. It has been found that substituents on the nitrogen atom have an influence on biological activity. In particular, the presence of a trifluoroacetyl moiety on the nitrogen atom leads to amides displaying interesting in vitro antitumour activities.     

Highly efficient biocatalytic resolution of cis- and trans-3-aminoindan-1-ol: syntheses of enantiopure orthogonally protected cis- and trans-indane-1,3-diamine

The efficient chemoenzymatic synthesis of enantiopure 1,3-difunctionalized indane derivatives has been achieved. The corresponding cis and trans N-protected amino alcohols were successfully resolved by acetylation using lipase B, which is a biocatalyst isolated from Candida antarctica. All the possible isomers were obtained in very good chemical yields and ee values (>99 %). The utility of these compounds was subsequently shown by the preparation of orthogonally protected cis- and trans-indane-1,3-diamine using a Mitsunobu reaction. Both enantiomers of the trans isomer and a desymmetrized cis diastereomer were prepared in enantiopure form. Complete inversion of configuration during the Mitsunobu reaction was demonstrated by a combination of NMR techniques and molecular modeling. The utility and versatility of the strategy was also demonstrated by the selective deprotection of each nitrogen atom under mild reaction conditions.     

Photoassisted vapor generation in the presence of organic acids for ultrasensitive determination of Se by electrothermal-atomic absorption spectrometry following headspace single-drop microextraction

A method is described for the determination of selenium at the pg/mL level by electrothermal-atomic absorption spectrometry using in situ photogeneration of Se vapors, headspace sequestration onto an aqueous microdrop containing Pd(II) and subsequent injection in a graphite tube. Several organic acids (formic, oxalic, acetic, citric and ethylenediaminetetraacetic) have been tried for photoreduction of Se(IV) into volatile Se compounds under UV irradiation. Experimental variables such as UV irradiation time, organic acid concentration, Pd(II) concentration in the drop, sample and drop volumes, extraction time and pH were fully optimized. Low-molecular weight acids such as formic and acetic provided optimal photogeneration of volatile Se species at a 0.6 mol/L concentration. Citric and ethylenediaminetetraacetic acid allowed to use a concentration as low as 1 mmol/L, but extraction times were longer than for formic and acetic acids. Photogeneration of (CH₃)₂Se from Se(IV) in the presence of acetic acid provided a detection limit of 20 pg/mL, a preconcentration factor of nearly 285 and a precision, expressed as relative standard deviation, of 4%. Analytical performance seemed to depend not only on the photogeneration efficiency obtained with each acid but also on the stability of the vapors in the headspace. The method showed a high freedom from interferences caused by saline matrices, but interferences were observed for transition metals at a relatively low concentration.     

Safety evaluation of single-use medical devices after submission to simulated reutilization cycles

Pyrogenic and toxic reactions, especially in immunologically compromised patients, are among the risks associated with reuse of single-use medical devices (SUDs) with recurrent damaged surfaces. These drawbacks have raised serious doubts about the true benefits of the reprocessing practice. Taking into consideration prolonged patients' stay in hospitals due to adverse reactions provoked by recycled SUDs, the safety of these reprocessed materials was evaluated. The reprocessing cycles were simulated after intentional contamination of selected test material such as intravenous catheters, 3-way stopcocks, and tracheostomy tubes with Bacillus subtilis var. niger ATCC 9372 spores (10(7) CFU/unit). The repeated reprocessing cycles consisted of subsequent wash with enzymatic detergent followed by drying and sterilization with ethylene oxide-CFC (12 + 88), 600 mg/L at 55 degrees C, relative humidity 60%, for 3 h. After each reprocessing cycle, specimen samples were evaluated by pour plate microbial counts, direct and indirect inoculation sterility tests, cytotoxicity evaluation, and scanning electron microscopy (SEM). Microbial counts as high as 10(3) CFU were evident even after the 10th reprocessing cycle, besides scratched and damaged surfaces observed by SEM. Risk-benefit viewpoints are discussed.     

Effect of size, proteic composition, and heat treatment on the colloidal stability of proteolyzed bovine casein micelles

The casein micelles of reconstituted nonfat milk that have been fractionated by controlled pore glass chromatography showed a relationship between their size and their proteic composition: The fractions containing the smaller particles were richer in κ-casein than the fractions containing the bigger ones, in accordance with the casein micelle model of submicelles. The initial aggregation rate of micelles of different sizes, partially proteolyzed with chymosin (para-casein micelles), was measured in conditions of enzyme excess in which aggregation is the rate-limiting step of enzymatic coagulation, showing higher rates for the smaller micelles with the production of less compact para-casein micelle networks. This behavior could be explained in terms of electrostatic and steric colloidal stabilization due to their lower negative net charge and size and to a higher surface density of hydrophobic “patches” of proteolyzed κ-casein related to a higher probability of effective collisions between particles. Differences in the β-casein content did not seem to affect the initial aggregation rate of the micelles. On the contrary, the modifications of the micelle surface by heating affected the colloidal stability of the hydrolyzed micelles in different ways. The denaturation of the whey proteins and the formation of covalent complexes with κ-casein modify the micelle surface, increasing specially the steric stabilization, and produces a diminution in the number of hydrophobic sites that could be able to give interparticle hydrophobic interactions.     

Capillary electrophoresis for the analysis of short-chain organic acids in coffee

A simple and rapid capillary electrophoresis method for low-molecular mass carboxylic acids measurement in coffee has been optimised and validated. Regarding separation conditions, phosphate concentration in the background electrolyte, surfactant type [cetyltrimethylammonium bromide (CTAB), tetradecyltri methylammonium bromide (TTAB) and hexadimethrine bromide (HDB)], percentages of organic modifier and pH were assayed. The best conditions were: 500 mM phosphate buffer at pH 6.25 with CTAB 0.5 mM. The separation was carried out with an uncoated fused-silica capillary (57 cm x 50 microm i.d.) which was operated at -10 kV potential. Detection was performed at 200 nm. In such conditions 17 short-chain organic acids: oxalic, formic, fumaric, mesaconic, succinic, maleic, malic, isocitric, citric, acetic, citraconic, glycolic, propionic, lactic, furanoic, pyroglutamic, quinic acids plus nitrate were separated, identified and measured. Validation parameters of the method allow us to consider it lineal, accurate and precise and, therefore, reliable for its employment in food composition studies or for quality control. Results in coffees with different industrial treatment allow the detection of important differences in the organic acid profile.