Formations of algebras with complemented subformations

Formations of universal algebras with systems of complemented subformations are considered. In particular, a presentation of the Mal'tsev formations, all subformations of which are complemented, is obtained.Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 43, Nos. 7 and 8, pp. 1008–1012, July–August, 1991.     

On the distributivity of the lattice of solvable totally local fitting classes

It is proved that the lattice of all solvable totally local Fitting classes is algebraic and distributive. Translated fromMatematicheskie Zametki, Vol. 67, No. 5, pp. 662–673, May, 2000.     

On one generalization of modular subgroups

We study the influence of generalized modular subgroups on the structure of finite groups.     

On Hall subgroups of a finite group

New criteria of existence and conjugacy of Hall subgroups of finite groups are given.     

Study of interaction between tiagabine HCl and 2-HPβCD: investigation of inclusion process

Tiagabine (TGB) is an antiepileptic agent enhancing the activity of GABA at neuronal and glial region. It has recently been shown that enhancement of TGB chemical stability was improved by complexation with 2-hydroxypropyl-beta-cyclodextrin (2-HPβCD). The aim of this project is to explain the improvement of the chemical stability of complexed TGB by studying the inclusion properties and factors affecting the complexation selectivity between 2-HPβCD and TGB. Analysis of the interaction between 2-HPβCD and TGB and the effect of 2-HPβCD on TGB solubility was performed by phase solubility method described by Higuchi and Connors; the complexation was followed by characterization using DSC, FTIR and NMR spectroscopy. In aqueous media, the analysis of NMR proton shift change continuous variation method (Job’s plot) and the NMR diffusion-ordered spectroscopy (DOSY) measurements clearly show that TGB form 1:1 inclusion complex with 2-HPβCD with an association constant (K _a) of 3396 M^?1. More detailed information about the inclusion mode and the geometry of the complex was obtained by the analysis of 2D NMR NOESY experiment and molecular modelling calculations. The inclusion process indicates that A-ring, C₁₀–C₁₁ double bond and the half of the B-ring of TGB molecule were located inside the cavity while the nipecotic acid part of TGB (Ring C) was exposed towards the outside of the 2-HPβCD cavity. These results suggest that the inclusion of the C₁₀–C₁₁ double bond in the 2-HPβCD cavity may possibly the reason of improvement of TGB chemical stability.     

An integral equation technique for scattering problems with mixed boundary conditions

This paper presents an integral formulation for Helmholtz problems with mixed boundary conditions. Unlike most integral equation techniques for mixed boundary value problems, the proposed method uses a global boundary charge density. As a result, Calderón identities can be utilized to avoid the use of hypersingular integral operators. Numerical results illustrate the performance of the proposed solution technique.     

Finite Groups with Weakly Subnormal and Partially Subnormal Subgroups

Siberian Mathematical Journal - We study the influence of weakly subnormal and partially subnormal subgroups on the structure of a group  $ G $ . In particular, we prove that a...     

Monitoring the Reversibility of GPCR Signaling by Combining Photochromic Ligands with Label-free Impedance Analysis

G protein-coupled cell surface receptors (GPCR) trigger complex intracellular signaling cascades upon agonist binding. Classic pharmacological assays provide information about binding affinities, activation or blockade at different stages of the signaling cascade, but real time dynamics and reversibility of these processes remain often disguised. We show that combining photochromic NPY receptor ligands, which can be toggled in their receptor activation ability by irradiation with light of different wavelengths, with whole cell label-free impedance assays allows observing the cell response to receptor activation and its reversibility over time. The concept demonstrated on NPY receptors may be well applicable to many other GPCRs providing a deeper insight into the time course of intracellular signaling processes.