Nonlattice simulation for supersymmetric gauge theories in one dimension

Lattice simulation of supersymmetric gauge theories is not straightforward. In some cases the lack of manifest supersymmetry just necessitates cumbersome fine-tuning, but in the worse cases the chiral and/or Majorana nature of fermions makes it difficult to even formulate an appropriate lattice theory. We propose circumventing all these problems inherent in the lattice approach by adopting a nonlattice approach for one-dimensional supersymmetric gauge theories, which are important in the string or M theory context. In particular, our method can be used to investigate the gauge-gravity duality from first principles, and to simulate M theory based on the matrix theory conjecture.     

An efficient synthesis of cholanic acids from 20-ketopregnanes

An efficient synthesis of 3β-hydroxy-5-cholanic acid (8) and 3β-hydroxy-Δ⁵-cholanic acid (16) was carried out starting from 5-dihydropregnenolene (1) and pregnenolone (9). The monoacetates (3 and 11), prepared by Grignard reaction of 1 and 9 with 3,3-ethylenedioxypropylmagnesium bromide followed by acetylation, were dehydrated selectively to give the Δ²⁰⁽²²⁾-compounds (4 and 12) which on hydrogenation followed by acid treatment and Jones oxidation yielded 8 and 16, respectively.     

A stereoselective total synthesis of Δ9-progesterone via an intramolecular cycloaddition reaction

A stereoselective total synthesis of 19-nor-Δ⁹⁽¹⁰⁾-progesterone (14) was achieved through des-A B-aromatic steroid (3) which was obtained by an intramolecular cycloaddition of the $\text{o}$-quinodimethane generated $\text{in situ}$ from the thermolysis of 3-isopropenyl-5-(4-metho-xybenzocyclobutenyl)pentan-2-one-2-ethylene ketal (2), and the compound (14) thus obtained was further converted into Δ⁹-progesterone (18).     

Relationship between acetabular labrum evaluation by using radial magnetic resonance imaging and progressive joint space narrowing in mild hip dysplasia

OBJECTIVE: The aim of this study was to investigate the relationship between abnormal acetabular labrum depicted by radial magnetic resonance and progressive joint space narrowing (JSN) of hip dysplasia. METHODS: Subjects were 23 joints [21 patients; mean age: 35.1 years (16-53 years)] that had acetabular dysplasia with lateral center-edge angle of Wiberg (CE angle) greater than 5 degrees and smaller than 25 degrees (mean, 16.4 degrees ), which did not show any arthrotic changes on plain radiograms and were followed up for 3 years or longer. Radial images of acetabular labrum were classified into three stages. RESULTS: Progression of JSN was not significantly related to CE angle but to progression of MRI stage (P=.006). In multivariate analysis, one rank progression of MRI stage was significantly associated with progression of JSN (adjusted OR=11.41, 95% CI: 1.51-86.24, P=.018). CONCLUSION: Our findings showed that in patients whose acetabular dysplasia has 5-25 degrees CE angle, MRI staging based on radial MRI is a better factor for prediction of progression of JSN than CE angle.     

Porritoxins, metabolites of Alternaria porri, as anti-tumor-promoting active compounds

To search for possible cancer chemopreventive agents from natural sources, we performed primary screening of metabolites of Alternaria porri by examining their possible inhibitory effects on Epstein-Barr virus early antigen (EBV-EA) activation induced by 12-O-tetradecanoylphorbol-13-acetate (TPA) in Raji cells. The ethyl acetate extract of A. porri showed the inhibitory effect on EBV-EA activation. Three porritoxins (1-3) were obtained as inhibitory active compounds for EBV-EA from ethyl acetate extract. 6-(3',3'-Dimethylallyloxy)-4-methoxy-5-methylphthalide (2) showed the strongest activity among them. Inhibitory effect of porritoxin (1) and (2) was superior to that of beta-carotene, a well-known anti-tumor promoter. Furthermore, the structure-activity correlation of porritoxins and their related compounds were discussed.     

Localization of glass particles in animal organs derived from cutting of glass ampoules before intravenous injections

Glass particles derived from the cutting of glass ampoules and suspended in parenteral solutions were introduced into mouse organs by intravenous injections in the tail vein. Organs were removed, thin sectioned, and plasma ashed on glass slides by means of glow-discharged oxygen to remove organic matrices which interfered with microscopic observation of glass particles. The ashed specimens were subsequently coated with a thin film of plasma-polymerized tetrafluoroethylene which suppressed the hygroscopicity of the specimens so that they became hydrophobic and at the same time permanently preserved the microstructures of the ashed specimens. Microscopic investigation of the glass particles retained in the ashed specimens supported size-dependent localization of the glass particles in different organs; i.e., large particles over 20 μm in diameter were mostly retained in the lung, while smaller particles around 5–10 μm in diameter were found in the liver and spleen, and occasionally in the kidney. A mesh-screen effect was therefore supposed along the route of blood circulation. No glass particle was found in the brain. Large numbers of extremely small glass particles less than 5 μm in diameter were not accounted for in all the organs investigated, but a wide diffusion in the whole body at very low density was presumed.     

Acyclic diene metathesis (ADMET) of vinylsilanes over Re2O7–Al2O3 catalyst

Tetravinylsilane and divinylsilanes have been successfully metathesized for the first time over Re₂O₇/Al₂O₃ catalyst promoted with tetrabutyltin under mild reaction conditions. All of the products were acyclic oligomers via intermolecular metathesis; the cyclic products via intramolecular metathesis were not formed.     

Convergent and stereoselective synthesis of vitamin D3 via 3,5-cyclovitamins D3

A convergent and stereoselective synthesis of vitamin D₃ was achieved via 3,5-cyclovitamins D₃ (20) which were prepared from the chiral aldehyde (2) and the vinyl bromide (12) derived from Grundmann's ketone.     

A remark on an example of a 6-dimensional Einstein almost-Kähler manifold

In this paper, we introduce a 6-dimensional example of non-compact complete Einstein non-K?hler almost-K?hler manifold G with negative scalar curvature which was constructed by Apostolov-Drăghici- Moroianu ([5]) and discuss the geometric structures.      

Radical polymerization of alkyl crotonates as 1,2-disubstituted ethylenes leading to thermally stable substituted polymethylene

Radical polymerization of several alkyl crotonates (RCr) was carried out in bulk or in benzene in the presence of radical initiators. Homopolymerization of RCr bearing bulky ester alkyl groups, e.g. tert-butyl (tBCr), 1-adamantyl (AdCr), and 3,5-dimethyl-1-adamantyl crotonate (DMAdCr) proceeded to give a polymer with molecular weight of several thousands despite of the steric hindrance and chain transfer by the presence of the β-methyl group, while the methyl and ethyl esters gave no polymer. The kinetics of the polymerization was examined in detail and absolute rate constants were evaluated by means of electron spin resonance spectroscopy. The propagation rate constants of RCr were 0.41–1.0 L/mol s, being much smaller than those of the corresponding methacrylates (530–570 L/mol s). The termination rate constants were also determined from the analyses of steady state and non-steady state polymerizations. Radical copolymerizations of AdCr (M₂) with several vinyl monomers (M₁) were carried out in bulk at 60°C and the rate constants for cross propagations were calculated to examine reactivities of the monomer and its polymer radical. The structure and thermal properties of the resulting poly (AdCr) were also investigated. Onset temperature of decomposition and glass transition temperature of poly(AdCr) were revealed to be much high as 302 and 234°C, respectively. © 1994 John Wiley & Sons, Inc.