Syntheses of AM-toxin III and its analogs using the Hofmann degradation

Syntheses of cyclotetradepsipeptides, AM-toxin III and two analogs, were achieved, in which the Hofmann degradation method was used in order to derive a dehydroalanine residue from a 2,3-diaminopropionic acid residue in cyclodepsipeptide precursors.     

On topologically stable singular surfaces in a 3-manifold

A formula for the Euler number of a generic singular surface in a 3-manifold is given. We also give an estimate of the number of connected components of the complement of such a surface.     

Extensions of the mandala of Legendrian dualities for pseudo-spheres in Lorentz-Minkowski space

In this paper we define one-parameter families of Legendrian double fibrations in the products of pseudo-spheres in Lorentz-Minkowski space which are the extensions of four Legendrian double fibrations in the previous research (Izumiya, 2009 [9]). We show that these are contact diffeomorphic to each other. Moreover, we construct one-parameter families of new extrinsic differential geometries on spacelike hypersurfaces in these pseudo-spheres as applications of such extensions of the Legendrian double fibrations.     

Studies on responsiveness of hepatoma cells to catecholamines. V. Loss of adrenergic response of glycogen phosphorylase in rat ascites hepatoma AH130 cells

The beta-adrenoceptor-cyclic adenosine monophosphate (AMP) dependent glycogenolytic cascade was examined in normal rat hepatocytes and rat ascites hepatoma AH130 cells. The cyclic AMP content in AH130 cells was half of that in normal hepatocytes, and the cyclic AMP levels in both kinds of cells were clearly increased by isoproterenol (IPN). Cyclic AMP-dependent protein kinase activity was higher in AH130 cells than in normal hepatocytes. Phosphorylase kinase activities in 10000 x g supernatant of normal hepatocytes and AH130 cells were also increased in the presence of cyclic AMP. Phosphorylase a activities in the supernatant of both kinds of cells gradually decreased during incubation with 40 mM glucose at 37 degrees C, and the enzyme activity of normal hepatocytes was completely restored by the addition of Mg2(+)-adenosine triphosphate (ATP), but in the case of the hepatoma cells the recovery was small. The decreased phosphorylase a activity in the hepatoma cells was increased by additional glycogen but did not exceed the level before the incubation. In the case of normal hepatocytes it was not affected by glycogen. This indicates that glycogen contained in the cells influences the activation of phosphorylase; the glycogen content in AH130 cells was far less than in normal hepatocytes. On the other hand, when intact cells were incubated with a high concentration of glucose, phosphorylase a activity in the homogenate of normal hepatocytes was decreased and could be restored by IPN and dibutyryl cyclic AMP, but the enzyme activity in the homogenate of AH130 cells was very low and hardly changed after the incubation and treatment with these agents.(ABSTRACT TRUNCATED AT 250 WORDS)     

Syntheses of gramicidin s analogs containing D-Serine or a dehydroalanine residue,and asymmetric hydrogenation of the dehydroalanine

Gramicidin S (GS) analogs, (D-Ser(Bzl)^4,4′]-GS ($\text{17}$), [D-Ser^4,4′]-GS ($\text{18}$), and [L-Orn(Boc)^2,2′,D-Ser^4,4′]-GS ($\text{19}$) were synthesized and $\text{17}$ showed high antibacterial activity. One residue of D-Ser in $\text{19}$ was converted asymmetrically to D-Ala via α,β-dehydroalanine.     

A characterization of complete integrability for partial differential equations of first order

We give a characterization of the notion of complete integrability for overdetermined systems of first order partial differential equations of real valued functions.Dedicated to the memory of Professor Masahisa Adachi     

Singularities of Anti de Sitter torus Gauss maps

We study timelike surfaces in Anti de Sitter 3-space as an application of singularity theory. We define two mappings associated to a timelike surface which are called Anti de Sitter nullcone Gauss image and Anti de Sitter torus Gauss map. We also define a family of functions named Anti de Sitter null height function on the timelike surface. We use this family of functions as a basic tool to investigate the geometric meanings of singularities of the Anti de Sitter nullcone Gauss image and the Anti de Sitter torus Gauss map.