An improved error bound for a finite element approximation of a model for phase separation of a multi-component alloy

Using the approach of Rulla (1996 SIAM J. Numer. Anal. 33, 68-87)for analysing the time discretization error and assuming moreregularity on the initial data, we improve on the error boundderived by Barrett and Blowey (1996 IMA J. Numer. Anal. 16,257-287) for a fully practical piecewise linear finite elementapproximation with a backward Euler time discretization of amodel for phase separation of a multi-component alloy.     

Simultaneous profiling of multiple neurochemical pathways from a single cerebrospinal fluid sample using GC/MS/MS with electron capture detection

Biogenic amines and amino acids are widely characterized in the pathways representing neurotransmission. Although several analytical methodologies have been used to detect specific target molecules in relevant fluids such as cerebrospinal fluid (CSF), multiple assays must be used to survey the primary pathways involved. This article describes the development of a GC/MS/MS method capable of analyzing up to 43 analytes (representing 20 amino acids and more than seven neurochemical pathways) from a single 50 microl CSF sample. In this procedure, a CSF sample is first treated with acetonitrile to precipitate proteins. The dried sample is then derivatized with a mixture of 2,2,3,3,3-pentafluoro-1-propanol and pentafluoropropionic acetic anhydride to replace all active hydrogen atoms with fluorine-containing groups. Due to the concentration difference between amino acids and neurotransmitters, these two compound classes are analyzed in separate injections of the same derivatized extract. The total run time for each injection is approximately 15-20 min. An essential feature of the method is the use of argon as a reagent gas for electron capture chemical ionization (ECCI), as the use of the more traditional gas (methane) lacked sufficient durability to be considered for use with the present instrumentation. This article describes the development of this method including a detailed investigation of the chemical ionization conditions used. The resultant conditions allow for the profiling of biogenic amines (e.g. serotonin, norepinephrine, and dopamine) in the low picogram per milliliter range.     

Finite element approximation of a model for phase separation of a multi-component alloy with a concentration-dependent mobility matrix

We consider a model for phase separation of a multi-componentalloy with a concentration-dependent mobility matrix and logarithmicfree energy. In particular we prove that there exists a uniquesolution for sufficiently smooth initial data. Further, we provean error bound for a fully practical piecewise linear finiteelement approximation in one and two space dimensions. Finallynumerical experiments with three components in one space dimensionare presented.     

Enzymatic assay of marine bacterial phosphatases by capillary electrophoresis with laser-induced fluorescence detection

Microbial ectoenzyme activities in aquatic environments are important determinants of polymer hydrolysis and indicators of the state of microbial carbon, nitrogen, and phosphorus nutrition. Marine ectoenzymes are found on the cell surface or in the periplasmic space of gram-negative heterotrophic bacteria. Phosphatases, which remove phosphate groups from substrates, are one example of an ectoenzyme. Enzyme assays based on-capillary electrophoresis (CE) take advantage of CE's high-efficiency separation, extremely low sample volume requirements, and its ability to electrophoretically mix and separate zones of enzymes, substrates, and products all in one experimental run. CE has better resolving power and, when utilized with laser-induced fluorescence (LIF) detection, it is more sensitive than chromatography. CE-LIF is a promising tool for determining different phosphatases within a single microbial strain as well as the functional diversity between strains. In this study, four bacterial strains were studied (Shewanella sp., TW7, BB2AT2, and Vibrio alginolyticus) with each yielding at least one phosphatase that was kinetically characterized. K(m) values were calculated and found to be in the range of 0.0725-3.35 microM, whereas V(max) values ranged from 1.02 x 10(-3) to 1.05 x 10(-2) microM/min. The large range of values demonstrates differences among the phosphatases, suggesting different roles for each phosphatase not only between the species but also within a single bacterial species. This can have the important implications for organic matter processing in the sea.