Morrey regularity of solutions to quasilinear elliptic equations over Reifenberg flat domains

We derive global gradient estimates in Morrey spaces for the weak solutions to discontinuous quasilinear elliptic equations related to important variational problems arising in models of linearly elastic laminates and composite materials. The principal coefficients of the quasilinear operator are supposed to be merely measurable in one variable and to have small-BMO seminorms in the remaining orthogonal directions, and the nonlinear terms are subject to controlled growth conditions with respect to the unknown function and its gradient. The boundary of the domain considered is Reifenberg flat which includes boundaries with rough fractal structure. As outgrowth of the main result we get global Hölder continuity of the weak solution with exact value of the corresponding exponent.     

Dependence of propagation loss on etching depth in Al0.3Ga0.7As/GaAs/Al0.3Ga0.7As strip-loaded type waveguides

Al_0.3Ga_0.7As/GaAs/Al_0.3Ga_0.7As strip-loaded waveguides were fabricated using a broad-beam electron cyclotron resonance (ECR) ion source. It was found that a very smooth etching profile can be obtained by ECR ion etching and the etching rate of Al_0.3Ga_0.7As is 70 nm min^-1. The propagation losses of strip-loaded type III–V compound semiconductor waveguides with various etching depths were studied by the Fabry-Perot cavity method. It was observed that the reflectance at the cleavage increases slightly with etching depth for TE polarization. The propagation loss is measured as 1.5 dB cm^-1 for etching depth of 0.7 m, less than 1 dB cm^-1 for 0.8 m, and 3.5 dB cm^-1 for 1.1 m.     

On vanishing of characteristic numbers in Poincaré complexes

Let be the evaluation subgroup as defined by Gottlieb. Assume the Hurewicz map is non-trivial and is a field. We will prove: if is a Poincaré complex oriented in -coefficient, all the characteristic numbers of in -coefficient vanish. Similarly, if and is a -Poincaré complex, then all the mod Wu numbers vanish. We will also show that the existence of a non-trivial derivation on with some suitable conditions implies vanishing of mod Wu numbers.

     

The identification of irradiated seasoned filefish (Thamnaconus modestus) by different analytical methods

Dried seasoned filefish (Thamnaconus modestus) was irradiated at 0–10 kGy and the identification of irradiation treatment was investigated by analyzing the characteristics of thermoluminescence (TL), hydrocarbon (HC), and 2-alkylacyclobutanone (2-ACB). The TL (TL₁), glow curve of the irradiated samples peaked at approximately 150 °C with high intensity, but that of the non-irradiated samples peaked at about 300 °C with little intensity, thus making it possible to discriminate between irradiated and non-irradiated samples. Moreover, TL ratio (TL₁/TL₂), through normalization steps, enhanced the reliability of the TL₁ results. Six kinds of HCs and three kinds of 2-ACBs quantitatively determined for the samples linearly increased in proportion to irradiation doses. In particular, two HCs like 1-hexadecane and 1,7-hexadecadine, and three ACBs, such as 2-dodecylcyclobutanone, 2-(5′-tetradeceyl)cyclobutanone, and 2-tetradecylcyclobutanone, were identified only in the irradiated samples as radiation-induced markers.     

Triterpenoid saponins from the roots of Sophora koreensis

From the roots of Sophora koreensis (Fabaceae), three new oleanene-type triterpene glycosides, echinosophorosides A(1) (1) and B (2), and acetyl-subproside II (5), were isolated as their methyl esters, together with the four known ones sophoraflavoside I, kudzusaponin SA(3), subproside II, and azukisaponin V. The structures of the new saponins were elucidated to be 3-O-alpha-L-rhamnopyranosyl(1-->2)-alpha-L-arabinopyranosyl(1-->2)-beta-D-glucuronopyranosyl kudzusapogenol A 22-O-alpha-L-arabinopyranoside (1), 3-O-alpha-L-rhamnopyranosyl(1-->2)-alpha-L-arabinopyranosyl-(1-->2)-beta-D-glucuronopyranosyl abrisapogenol C 22-O-alpha-L-arabinopyranoside (2), and 3-O-alpha-L-rhamnopyranosyl(1-->2)-alpha-L-arabinopyranosyl(1-->2)-beta-D-glucuronopyranosyl kudzusapogenol A 22-O-acetate (5), respectively. It is noteworthy that two arabinopyranosyl moieties in the same molecule, echinosophoroside B (2), have different conformations. The conformation of the arabinopyranosyl moiety existing in the trisaccharide moiety was determined to be (1)C(4), whereas that of the arabinopyranosyl unit at C-22 was identified as (4)C(1).     

Solvent effects on the nπ* transition of pyrimidine in aqueous solution

A hybrid quantum mechanical and molecular mechanical potential is used in Monte Carlo simulations to examine the solvent effects on the electronic excitation energy for the n→π* transition of pyrimidine in aqueous solution. In the present study, the pyrimidine molecule is described by the semi-empirical AM1 model, while the solvent molecules are treated classically. Two sets of calculations are performed: the first involves the use of the pairwise three-point charge TIP3P model for water, and the second computation employs a polarizable many-body potential for the solvent. The latter calculation takes into account the effect of solvent polarization following the solute electronic excitation, and makes a correction to the energies determined using pairwise potentials, which neglects such fast polarization effects and overestimates the solute-solvent interactions on the Franck-Condon excited states. Our simulation studies of pyrimidine in water indicate that the solvent charge redistribution following the solute electronic excitation makes modest corrections (about −130␣cm⁻¹) to the energy predicted by using pairwise potentials. Specific hydrogen bonding interactions between pyrimidine and water are important for the prediction of solvatochromic shifts for pyrimidine. The computed n→π* blue shift is 2275±110 cm⁻¹, which may be compared with the experimental value (2700 cm⁻¹) from isooctane to water. Received: 14 January 1997 / Accepted: 21 February 1997     

Conformational preferences and cis-trans isomerization of L-lactic acid residue

The conformational study on N-acetyl- N'-methylamide of l-lactic acid (Ac-Lac-NHMe, the Lac dipeptide) is carried out using ab initio HF and density functional methods with the self-consistent reaction field method to explore its backbone conformational preferences and cis-trans isomerization for the depsipeptide with an ester bond in the gas phase and in solution. In the gas phase and in chloroform, the conformation tB with a trans depsipeptide bond is most preferred for the Lac dipeptide, whose backbone torsion angles are phi approximately -150 degrees and psi approximately -5 degrees , juxtaposed to those of the 3 10-helical structure. The larger shift in phi is brought to reduce the repulsion between the two carbonyl carbons of the acetyl and NHMe groups. However, the polyproline II-like tF conformation becomes more populated and the relative stability of conformation tB decreases significantly as the solvent polarity increases. This may be ascribed to weakening a C(5) hydrogen bond between the depsipeptidyl oxygen and the carboxyl amide hydrogen that plays a role in stabilizing the conformation tB in the gas phase and in chloroform. The cis populations about the depsipeptide bond are nearly negligible in the gas phase and in solution. The rotational barriers to the cis-trans isomerization of the depsipeptide bond for the Lac dipeptide are calculated to be about 11 kcal/mol, which is about half of those for the Ala dipeptide, although they increase somewhat with the increase of solvent polarity. The cis-trans isomerization of the depsipeptide bond proceeds through either clockwise or anticlockwise rotations with torsion angles of about +90 degrees or -90 degrees , respectively, in the gas phase and in solution, whereas it has been known that the isomerization proceeds through only the clockwise rotation for alanyl and prolyl peptide bonds. The pertinent distances between the depsipeptidyl oxygen and the carboxyl amide hydrogen can describe the role of this hydrogen bond in stabilizing the transition state structures in the gas phase and in solution.     

Self-assembling semicrystalline polymer into highly ordered, microscopic concentric rings by evaporation

A drop of semicrystalline polymer, poly(ethylene oxide) (PEO), solution was placed in a restricted geometry consisting of a sphere on a flat substrate (i.e., sphere-on-flat geometry). Upon solvent evaporation from the sphere-on-flat geometry, microscopic concentric rings of PEO with appropriate high molecular weight were produced via controlled, repetitive pinning ("stick") and depinning ("slip") cycles of the contact line. The evaporation-induced concentric rings of PEO exhibited a fibrillar-like surface morphology. Subsequent isothermal crystallization of rings at 40 and 58 degrees C led to the formation of multilayer of flat-on lamellae (i.e., spiral morphology). In between adjacent spirals, depletion zones were developed during crystallization, as revealed by AFM measurements. The present highly ordered, concentric PEO rings may serve as a platform to study cell adhesion and motility, neuron guidance, cell mechanotransduction, and other biological processes.     

Analysis of polyamines as carbamoyl derivatives in urine and serum by liquid chromatography-tandem mass spectrometry

A quantitative analysis of polyamines in urine and serum by liquid chromatography-tandem mass spectrometry (LC-MS/MS) is described. The polyamines were carbamylated with isobutyl chloroformate, extracted with diethyl ether under pH 9.0, and analyzed by LC-MS/MS with single reaction monitoring mode. The limit of quantification was 1 ng/mL based on a signal-to-noise ratio>3, and the correlation coefficient (r2) for the calibration curves was >0.99 for both urine and serum samples. The present method was applied to urine and serum samples from 30 breast cancer patients and 30 normal female controls. There was no significant difference in the urinary polyamine levels between breast cancer patients and controls. However, 1,3-diaminopropane, putrescine, spermine and N-acetylspermidine levels in serum increased in breast cancer patients. These four serum polyamines may be a good index to study both production and metabolism of polyamines, and a useful tool in assessment of the polyamine status of breast cancer patients.