Sasaki-Einstein Twist of Kerr-AdS Black Holes

We consider Kerr-AdS black holes with equal angular momenta in arbitrary odd spacetime dimensions \ge 5. Twisting the Killing vector fields of the black holes, we reproduce the compact Sasaki-Einstein manifolds constructed by Gauntlett, Martelli, Sparks and Waldram. We also discuss an implication of the twist in string theory and M-theory.Comment: 7 pages; Added the Page limit metric and extra parameter \delta shown to be trivia

New Infinite Series of Einstein Metrics on Sphere Bundles from AdS Black Holes

A new infinite series of Einstein metrics is constructed explicitly on S^2 x S^3, and the non-trivial S^3-bundle over S^2, containing infinite numbers of inhomogeneous ones. They appear as a certain limit of a nearly extreme 5-dimensional AdS Kerr black hole. In the special case, the metrics reduce to the homogeneous Einstein metrics studied by Wang and Ziller. We also construct an inhomogeneous Einstein metric on the non-trivial S^{d-2}-bundle over S^2 from a d-dimensional AdS Kerr black hole. Our construction is a higher dimensional version of the method of Page, which gave an inhomogeneous Einstein metric on CP^2\sharp\bar{CP^2}.Comment: 15 pages, remarks and minor corrections adde

Relationship between Pentosidine and Pyridinoline Levels in Human Diabetic Cataract Lenses

The relationship between the levels of two different crosslink compounds, pentosidine and pyridinoline, in human diabetic cataract lenses was investigated to elucidate the pathogenic mechanism of diabetic cataract. Subjects were classified into diabetes mellitus (DM) group and non-DM group according to the presence or absence of DM. The levels of the crosslink compounds were determined using high-performance liquid chromatography and spectrofluorometry after acid hydrolysis. In the non-DM group the pentosidine level was significantly and positively correlated with the pyridinoline level and age. In the DM group the pentosidine level was not significantly correlated with either pyridinoline level or age. Pyridinoline levels and age were not significantly correlated in either group. The increase in crosslink compounds due to glycation and the relationship between the compounds are changed in DM lenses

Selective Hydrogenation and Transfer Hydrogenation for Post-Functional Synthesis of Trifluoromethylphenyl Diazirine Derivatives for Photoaffinity Labeling

Elucidation of protein functions on the basis of structure–activity relationships can reveal the mechanisms of homeostasis functions in life and is one of the greatest interests of scientists. In the human body, many proteins are activated and/or inactivated by ligands to maintain homeostasis. Understanding the mechanism of molecular interactions between small bioactive ligands and proteins is an important step in rational drug design and discovery. ! Photoaffinity labeling, which is one of the most familiar approaches for chemical biology analysis, was initiated using diazocarbonyl derivatives in 1962 (Singh et al., 1962). Many researchers have subsequently tried to establish alternative approaches for the direct identification of target proteins for the bioactive small ligands. These approaches are based on the affinity between the ligand and the target protein (Figure 1). Several reviews are published for the recent applications of photoaffinity labeling (Tomohiro et al., 2005; Hashimoto & Hatanaka, 2008). To archive photoaffinity labeling, researchers have to prepare photoaffinity labeling ligands. The native ligands must be modified by photoreactive compounds (photophores) by organic synthesi

PROGNOSTIC IMPLICATIONS OF TYPE 2 MYOCARDIAL INFARCTION IN VASOSPASTIC ANGINA: A HIGH-RISK SUBGROUP

summary:The Golomb space ${\mathbb N}_\tau$ is the set ${\mathbb N}$ of positive integers endowed with the topology $\tau$ generated by the base consisting of arithmetic progressions $\{a+ bn: n\ge 0\}$ with coprime $a,b$. We prove that the Golomb space ${\mathbb N}_\tau$ has continuum many continuous self-maps, contains a countable disjoint family of infinite closed connected subsets, the set $\Pi$ of prime numbers is a dense metrizable subspace of ${\mathbb N}_\tau$, and each homeomorphism $h$ of ${\mathbb N}_\tau$ has the following properties: $h(1)=1$, $h(\Pi)=\Pi$, $\Pi_{h(x)}=h(\Pi_x)$, and $h(x^{{\mathbb N}})=h(x)^{\,\mathbb N}$ for all $x\in{\mathbb N}$. Here $x^{\mathbb N}:=\{x^n\colon n\in{\mathbb N}\}$ and $\Pi_x$ denotes the set of prime divisors of $x$