In this work, we proposed a new approach called integer sub-decomposition (ISD) based on the GLV idea to compute any multiple kP of a point P of order n lying on an elliptic curve E. This approach uses two fast endomorphisms ψ1 and ψ2 of E over prime field Fp to calculate kP. The basic idea of ISD method is to sub-decompose the returned values k1 and k2 lying outside the range √ n from the GLV ...

The uptake of circulating macromolecules by the arterial intima is thought to be a key step in atherogenesis. Such transport is dominantly advective, so elucidating the mechanisms of water transport is important. The relation between vasoactive agents and water transport in the arterial wall is incompletely understood. Here we applied our recently-developed combination of computational and expe...

Ubiquitination by the anaphase-promoting complex (APC/C) is essential for proliferation in all eukaryotes. The human APC/C promotes the degradation of mitotic regulators by assembling K11-linked ubiquitin chains, the formation of which is initiated by its E2 UbcH10. Here, we identify the conserved Ube2S as a K11-specific chain elongating E2 for human and Drosophila APC/C. Ube2S depends on the c...

Potexviruses frequently infect plants from the family Cactaceae. We report the complete genome sequence of a new Schlumbergera virus X (SchVX) isolate. The genome has 6,615 nucleotides and shares 94% nucleotide identity with SchVX-K11 from Schlumbergera. This is the first sequence of an isolate of SchVX from the genus Opuntia.

The crossing number of Kn is known for n 6 10. We develop several simple counting properties that we shall exploit in showing by computer that cr(K11) = 100, which implies that cr(K12) = 150. We also determine the numbers of non-isomorphic optimal drawings of K9 and K10.

Phenol and phenolic compounds are environmental pollutants present in industrial wastewaters such as coal tar, oil refineries and petrochemical plants. Phenol removal from industrial effluents is extremely important for the protection of environment. Usually, phenol degradation is carried out by physicochemical methods that are costly and produce hazardous metabolites. Recently, phenol biodegra...