Efficient kinetic bioresolution of 2-nitrocyclohexanol

The kinetic bioresolution of 2-nitrocyclohexanol 1 was investigated by screening a range of hydrolases both for enantioselective transesterification and for enantioselective hydrolysis of the corresponding acetate. By appropriate choice of biocatalyst and conditions, both enantiomers of cis and trans 2-nitrocyclohexanol 1 can be accessed in enantiopure form.     

RESTRICTED LIE ALGEBRAS WITH MAXIMAL 0-PIM

In this paper it is shown that the projective cover of the trivial irreducible module of a finite-dimensional solvable restricted Lie algebra is induced from the one dimensional trivial module of a maximal torus. As a consequence, the number of the isomorphism classes of irreducible modules with a fixed p-character for a finite-dimensional solvable restricted Lie algebra L is bounded above by p ^MT(L), where MT(L) denotes the maximal dimension of a torus in L. Finally, it is proved that in characteristic p > 3 the projective cover of the trivial irreducible L-module is induced from the one-dimensional trivial module of a torus of maximal dimension, only if L is solvable.     

Speaking rate of adventitiously deaf male cochlear implant candidates

No objective group data on speaking rate or speaking duration have been reported on the speech of adventitiously profoundly hearing-impaired adults. Results of the present study showed that speaking rate, i.e., number of syllables per second, was significantly slower and speaking duration was significantly longer for 25 adventitiously profoundly hearing-impaired adult male cochlear implant candidates than for 10 normal-hearing control subjects. The factors of length of time since onset of profound hearing loss and hearing aid use did not significantly affect speaking rate. Based on these objective data, a rationale and method are presented for aural rehabilitation of the profoundly hearing-impaired who exhibit speaking rate abnormalities.     

Numerical method for a model of inhomogeneous muscle fibers

The numerical solution of a nonlinear and nonlocal system of integro-differential equations that models the contraction of a single heterogeneous muscle fiber is studied. The method proposed is a form of the finite difference method of characteristics. Optimal error bounds are established for the resulting approximation. © 1993 John Wiley & Sons, Inc.     

Dynamic kinetic resolution of 2-methyl-2-nitrocyclohexanol: Combining the intramolecular nitroaldol (Henry) reaction & lipase-catalysed resolution

Efforts to combine the intramolecular nitroaldol reaction with lipase-catalysed resolution of the resulting nitroaldol adduct in a one-pot dynamic kinetic resolution (DKR) are described. Significant challenges were encountered in the combination of the two systems. trans-2-Methyl-2-nitrocyclohexyl acetate (±)-3b was isolated in excellent enantiopurity (>98% ee) via a sequential DKR sequence where the lipase-mediated resolution and base-mediated interconversion of 2-methyl-2-nitrocyclohexanol 2 were effected alternately, demonstrating the feasibility of this approach initially. Further work showed, for the first time, evidence that a DKR-type system is possible for 2. Reaction engineering allowed the design of a sequential one-pot reaction system which furnished the products with excellent enantioselectivity, and good diastereoselectivity.     

The analysis of plutonium uranium carbide-iron cermets by electrochemical method

Summary Electrochemical methods have been developed for the direct determination of the main metallic constituents of 15 w/o (Pu, U) C — 10 w/o Fe cermets. Samples are dissolved in nitric acid, followed by wet oxidation with a mixture of sulphuric and nitric acids to destroy organic matter. Plutonium is determined by a potentiometric titration procedure based upon the reduction of Pu^VI to Pu^IV with ferrous iron added in slight excess, followed by the titration of this excess with ceric sulphate. The precision of this determination on 4 mg amounts of plutonium is 0.1%. Both uranium and iron are determined by controlled-potential coulometry, but the method for iron includes a contribution from plutonium and allowance has to be made for this. The precision of the uranium determination on 10 mg amounts is 0.25%, and the value for iron on 1 mg amounts is also 0.25%. Results for the complete analysis of typical cermet samples are given.

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Zusammenfassung Elektrochemische Verfahren wurden ausgearbeitet zur direkten Bestimmung der metallischen Hauptbestandteile in Metall-keramischen Materialien (Cermets) der Zusammensetzung 15% (Pu,U)C-10% Fe. Hierbei wird die Probe in Salpetersäure aufgelöst und anschließend zur Zerstörung organischer Substanz einer nassen Oxydation mit einem Gemisch von Schwefel- und Salpetersäure unterworfen. Plutonium wird mit Hilfe eines potentiometrischen Verfahrens bestimmt, das auf der Reduktion von Pu^VI zu Pu^IV mit Fe^II in geringem Überschluß und nachfolgender Titration des Überschusses mit Cer^IV-sulfatlösung beruht. Die Genauigkeit beträgt hierbei 0,1% bei Mengen von 4 mg Pu. Uran und Eisen werden durch Coulometrie mit Potentialkontrolle bestimmt; jedoch wird bei der Eisenbestimmung Plutonium miterfaßt und muß bei der Berechnung berücksichtigt werden. Die Genauigkeit der Uranbestimmung beträgt 0,25% bei 10 mg U, die der Eisenbestimmung 0,25% bei 1 mg Fe. Ergebnisse von vollständigen Analysen typischer Cermetproben werden angeführt.

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Dedicated to Prof. Dr. M. von Stackelberg on his 70th birthday.     

A finite element method for a two-sex model of population dynamics

A finite element scheme is described to approximate the solution of a nonlinear and non-local system of integro-differential equations that models the dynamics of a two-sex population. Crank-Nicolson time discretization is used and error estimates are derived for the appoximation.