Construction of a solution of a quasilinear partial differential equation of parabolic type with oscillating and slowly varying coefficients

We study a boundary-value problem for a partial differential equation of parabolic type with coefficients in the form of Fourier series with coefficients and frequency slowly varying in time.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 8, pp. 1129–1135, August, 1995.     

Geometric structure of a molecule of Epitalon tetrapeptide: A molecular-dynamics simulation

Variation of the geometric parameters of a molecule of Epitalon tetrapeptide (Ala-Glu-Asp-Gly) over a period of 1500 ps was simulated by the method of molecular dynamics using AMBER force field. The structure of the molecule is stabilized by two salt bridges formed by the N-terminal nitrogen atom and oxygen atoms of Asp and Glu side chains. The biological effect of Epitalon was attributed to formation of salt or hydrogen bonds involving one or several ionizable functional groups of the molecules.     

A Quantum-Chemical Study of the Steric and Electronic Structure of the Molecules of Endogenic Peptides NP-4 and NP-5

The geometric parameters of the molecules of rabbit defensins NP-4 and NP-5 were fully optimized by the molecular-mechanics and semiempirical (MNDO, AM1) methods. It was suggested that the ligand - receptor binding of the molecules of these defensins occurring, according to the method of local fization of potential, in a 1:1 stoichiometric ratio is most probably due to hydrogen bonding involving the carboxy group of the pentant Glu¹⁴ chain.__________Translated from Zhurnal Obshchei Khimii, Vol. 75, No. 3, 2005, pp. 509–515.Original Russian Text Copyright © 2005 by Shchegolev, Rogachevskii, MacKee, Kokryakov, Plakhova, Krylov.     

On solutions of a quasilinear almost triangular system of difference equations

For an almost triangular system of difference equations, the problem of existence of particular solutions in the form of Fourier series with slowly varying coefficients and frequency is studied.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 4, pp. 525–530, April, 1995.