This paper proposes a new mathematical framework that can be applied to biological problems such as analysis of the structures of proteins and protein complexes. In particular, it gives a new method for encoding the three-dimensional structure of a protein into a binary sequence, where proteins are approximated by a folded tetrahedron sequence. The feature of the method is the correspondence be...

Two 3-D and one 2-D metal-organic frameworks [Cu(8)I(8)(L1)(4)](n) (1), [Cu(8)I(8)(L2)(4)](n) (2) and [Cu(4)I(4)(L3)(2)](n) ()3 were synthesized using three novel pyridine and pyrazole supported 1,2,3-triazoles, 1-(4-picolyl)-4-butyl-1H-1,2,3-triazole (L1), 1-(4-picolyl)-4-pentyl-1H-1,2,3-triazole (L2) and 1-(4-picolyl)-4-(3,5-dimethylpyrazolylmethyl)-1H-1,2,3-triazole (L3). In both complexes 1...

Transition metal complexes of thiosemicarbazones have generated considerable interest due to their wide ranging biological activities. Zinc II complexes with thiosemicarbazone ligands were reported to posses antiproliferative, antitumor and antimicrobial activities. In this work, zinc (II) complex of 2-acetylbenzothiophene 3-thiosemicarbazone [Zn(BTTS)2] has been prepared by condensation of zin...

Recent work on state sum models of quantum gravity in 3 and 4 dimensions has led to interest in the ‘quantum tetrahedron’. Starting with a classical phase space whose points correspond to geometries of the tetrahedron in R3, we use geometric quantization to obtain a Hilbert space of states. This Hilbert space has a basis of states labeled by the areas of the faces of the tetrahedron together wi...

High yielding synthetic routes to 3’,5’-diamino-2’,3’,5’-trideoxycytidine and 3’,5’-diamino-2’,3’,5’-trideoxyadenosine are described. In addition, the protonation behavior of 3’,5’-diamino-2’,3’,5’-trideoxycytidine, 3’,5’-diamino-2’,3’,5’-trideoxyadenosine, 3’,5’diamino-3’,5’-dideoxythymidine, and 3’,5’-diamino-2’,3’,5’-trideoxyuridine has been studied by means of pH-metric measurements and NMR...