Label-free technologies for quantitative multiparameter biological analysis

In the postgenomic era, information is king and information-rich technologies are critically important drivers in both fundamental biology and medicine. It is now known that single-parameter measurements provide only limited detail and that quantitation of multiple biomolecular signatures can more fully illuminate complex biological function. Label-free technologies have recently attracted significant interest for sensitive and quantitative multiparameter analysis of biological systems. There are several different classes of label-free sensors that are currently being developed both in academia and in industry. In this critical review, we highlight, compare, and contrast some of the more promising approaches. We describe the fundamental principles of these different methods and discuss advantages and disadvantages that might potentially help one in selecting the appropriate technology for a given bioanalytical application.

Class numbers of quadratic fields and

Let be a square free integer. We shall show that there exist infinitely many positive fundamental discriminants 0$"> with a positive density such that the class numbers of quadratic fields and are both not divisible by 3.

     

Vasodilatory Effect of Alpinia officinarum Extract in Rat Mesenteric Arteries

Background: Alpinia officinarum (A. officinarum) is known to exhibit a beneficial effect for anti-inflammatory, anti-oxidant, and anti-hyperlipidemic effects. However, no sufficient research data are available on the cardiovascular effect of A. officinarum. Thus, in this study, we investigate whether A. officinarum extract has direct effects on vascular reactivity. Methods: To examine whether A. officinarum extract affects vascular functionality, we measured isometric tension in rat mesenteric resistance arteries using a wire myograph. After arteries were pre-contracted with high-K⁺ (70 mM), phenylephrine (5 µM), or U46619 (1 µM), A. officinarum extract was treated. Results: A. officinarum extract induced vasodilation in a concentration-dependent manner, and this effect was endothelium independent. To further investigate the mechanism, we incubated arteries in a Ca²⁺-free and high-K⁺ solution, followed by the cumulative addition of CaCl₂ (0.01–2.5 mM) with or without A. officinarum extract (30 µg/mL). Pre-treatment of A. officinarum extract reduced the contractile responses induced by cumulative administration of Ca²⁺, which suggests that extracellular Ca²⁺ influx was inhibited by the treatment of A. officinarum extract. These results were associated with a reduction in phosphorylated MLC₂₀ in VSMCs treated with A. officinarum extract. Furthermore, eucalyptol, an active compound of A. officinarum extract, had a similar effect as A. officinarum extract, which causes vasodilation in mesenteric resistance arteries. Conclusion: A. officinarum extract and its active compound eucalyptol induce concentration-dependent vasodilation in mesenteric resistance arteries. These results suggest that administration of A. officinarum extract could exert beneficial effects to treat high blood pressure.     

Special Issue Dedicated to Professor Paul H.Rabinowitz's 80th Birthday

The conference Calculus of Variations—A celebration of Paul Rabinowitz's 80th birthday was held during Oct.31-Nov.2,2019 at UniHotel Jeju,Korea.The conference was dedi-cated to Professor Paul Rabinowitz on the occasion of his 80th birthday.The current special issues in the journal Analysis in Theory and Applications are formed by papers contributed by speakers in this conference.     

Real quadratic fields with class number divisible by 3

 We shall show that the number of real quadratic fields whose absolute discriminant is ≤ x and whose class number is divisible by 3 is improving the existing best known bound of K. Chakraborty and R. Murty. Received: 7 January 2003 Published online: 19 May 2003 This work was supported by Korea Research Foundation Grant KRF-2002-003-C00001. Mathematics Subject Classification(2000): 11R11, 11R29     

Facial structures for positive linear maps in two-dimensional matrix algebra

We completely determine the lattice structure for the faces of the convex cone of all positive linear maps between the 2×2 matrix algebras, in terms of pairs of subspaces of M ₂.     

Selective oxidation of allylic sulfides by hydrogen peroxide with the trirutile-type solid oxide catalyst LiNbMoO(6).

Chemoselective sulfur oxidation of allylic sulfides containing double bonds of high electron density due to multiple alkyl substituents or extended conjugation was developed using the composite metal oxide catalyst, LiNbMoO(6), without any epoxidation of the electron-rich double bond(s). Selective oxidation to either the corresponding sulfoxides or the sulfones was realized by controlling the stoichiometry of the quantitative oxidant, H(2)O(2). This new oxidant system had general applicability for chemoselective oxidation of various allylic, benzylic, or propargylic sulfides containing unsaturated carbon-carbon bonds with different electron properties. Various functional groups including hydroxy, formyl, and ethers of THP or TBDMS are compatible under this mild oxidation reaction condition.     

Assessment of solvent effects: do weak alignment media affect the structure of the solute?

Alignment media used for measuring residual dipolar couplings, such as solutions of filamentous phages, phospholipid mixtures, polyacrylamide gels and various lyotropic liquid crystalline systems were investigated with respect to solvent effects on molecular structure. Structural parameters of the small rigid model compound 13C-acetonitrile were calculated from dipolar couplings and variations from expectation values were used for assessment of solvent effects. Only minor solvent effects were observed for most of the media employed and the measured structural data are in good agreement with microwave data and theoretical predictions.