Coactions on Hochschild homology of Hopf-Galois extensions and their coinvariants

Let B⊆A be an H-Galois extension, where H is a Hopf algebra over a field K. If M is a Hopf bimodule then , the Hochschild homology of A with coefficients in M, is a right comodule over the coalgebra C_H=H/[H,H]. Given an injective left C_H-comodule V, our aim is to understand the relationship between and . The roots of this problem can be found in Lorenz (1994) [15], where and are shown to be isomorphic for any centrally G-Galois extension. To approach the above mentioned problem, in the case when A is a faithfully flat B-module and H satisfies some technical conditions, we construct a spectral sequence

     

A Zirconium Oxide Nanoparticle Modified Screen‐printed Electrode for Anodic Stripping Determination of Daclatasvir Dihydrochloride

A novel, sensitive and rapid voltammetric method applied for daclatasvir dihydrochloride (DSV.2HCl) detection in raw material, human plasma and urine using square wave voltammetry at a nano‐screen printed electrode (SPE) based on synthesized zirconium oxide nanoparticles (ZrO₂ NPs). The attention to zirconium oxide nanoparticle syntheses arises from its likely use in making an electrode material in the electroanalytical process. Anodic stripping square wave voltammetric peaks have been recorded at the optimum conditions of drug solution as pH, scan rate, accumulation time and accumulation potential. Morphology of the used nanoparticles has been performed by scanning electron microscope (SEM) and transmission microscope (TEM). ZrO₂ NPs were applied to screen printed electrode (ZrO₂‐MSPE) giving a new sensor to detect the DSV.2HCl drug. ZrO₂ NPs were tested for their electroactivity in improving electrodes sensitivity. The modified electrode has been used for the analysis of DSV.2HCl in spiked serum, spiked urine and pharmaceutical formulation.     

Formality and Deformations of Universal Enveloping Algebras

We describe enveloping algebras of finite-dimensional Lie algebras which are formal in the sense that their Hochschild complex as a differential graded Lie algebra is quasi-isomorphic to its Hochschild cohomology. For Abelian Lie algebras this is true thanks to the Kontsevich formality theorem. We are using his formality map twisted by the group-like element generated by the linear Poisson structure to simplify the problem, and then study examples. For instance, the universal enveloping algebras of the Lie algebras are formal. We also recover our rigidity results for enveloping algebras from this new angle and present some explicit deformations of linear Poisson structure in low dimensions.     

Influence of a magnetically permeable surface layer on transient fields for a thin circular loop antenna

The transient fields, in the time-domain, of a thin circular loop antenna, on a two-layered earth’s model are reexamined when the usually neglected magnetic permeability contrast is considered. It is shown that for a two-layered earth model, where the upper layer is permeable, the transient fields are modified over the nonpermeable case. The fields in the time domain are obtained as the inverse Laplace transforms of derived full wave time-harmonic solution. These time-domain solutions are obtained as a summation of waveguide modes plus contributions from branch cuts in the complex plane of the longitudinal wave number. The results should be useful for interpreting airborne electromagnetic systems and in cases where super-paramagnetic mineral constant is present.     

Influence of a magnetically permeable surface layer on transient electromagnetic field of a vertical magnetic dipole on a two-layer conducting earth

The transient electromagnetic field, in the frequency domain, on a two-layered conducting earth is reexamined when the usually neglected magnetic permeability contrast is considered. It is shown that for two-layered earth model, where the upper is permeable, the electromagnetic induction response is modified over the nonpermeable case. It is obtained as a summation of waveguide modes plus contributions from branch-cuts in the complex plane of the longitudinal wave number. The results from this paper can be used to evaluate numerical solution of other more complicated forward modeling algorithms. It can also be used in developing fast and simple interpretation tools, which can deliver quick estimation of the earth structure at the field.     

Sol-gel encapsulation of cells is not limited to silica: long-term viability of bacteria in alumina matrices

A colloidal route to aqueous alumina gels is described, allowing the long-term viability of encapsulated bacteria.     

Development and validation of chemometrics-assisted spectrophotometry and liquid chromatography methods for the simultaneous determination of the active ingredients in two multicomponent mixtures containing chlorpheniramine maleate and phenylpropanolamine hydrochloride

Multivariate spectrophotometric calibration and liquid chromatography (LC) methods were used for the simultaneous determination of the active ingredients in 2 multicomponent mixtures containing chlorpheniramine maleate and phenylpropanolamine hydrochloride with ibuprofen and caffeine (mixture 1) or with propyphenazone (mixture 2). For the multivariate spectrophotometric calibration methods, principal component regression (PCR) and partial least squares (PLS-1), a calibration set of the mixtures consisting of the components of each mixture was prepared in distilled water. A leave-1-out cross-validation procedure was used to find the optimum numbers of latent variables. Analytical parameters such as sensitivity, selectivity, analytical sensitivity, limit of quantitation, and limit of detection were determined for both PLS-1 and PCR. The LC method depends on the use of a cyanopropyl column with the mobile phase acetonitrile-12 mM ammonium acetate, pH 5.0 (25 + 75, v/v), for mixture 1 or acetonitrile-10 mM potassium dihydrogen phosphate, pH 4.7 (45 + 55, v/v), for mixture 2; the UV detector was set at 212 nm. In spite of the presence of a high degree of spectral overlap of these components, they were rapidly and simultaneously determined with high accuracy and precision, with no interference from the matrix excipients. The proposed methods were successfully applied to the analysis of pharmaceutical formulations and laboratory-prepared mixtures containing the 2 multicomponent combinations.     

Synthesis and Antimicrobial Evaluation of Newly Synthesized N,S‐Bisphosphonate Derivatives

An easy strategy for the synthesis of tetraethyl‐2‐(3‐mercapto‐4H‐1,2,4‐triazol‐4‐ylamino)‐2‐(aryl)ethane‐1,1‐diyldiphosphonate and tetraethyl‐(6‐(aryl)‐5,6‐dihydro[1,2,4]triazolo[3,4‐b]‐[1,3,4]thiadiazol‐6‐yl)methylenediphosphonate derivatives with reasonable 67–85% overall yields has been developed. The approach was achieved via applying Wadsworth–Horner–Emmons reagent, tetraethylmethylenebisphosphonate, to 4‐(arylideneamino)‐4H‐1,2,4‐triazole‐3‐thiols under phase‐transfer catalysis conditions. Screening results of antimicrobial potency for 12 out of 17 methylene‐1,1‐bisphosphonate products were reported. Two of the tested thiadiazolomethylenebisphosphonates displayed better spectrum of antimicrobial activity against the pathogens, compared with that of the positive controls.     

Spectrofluorimetric Approach for Quantification of Cyclizine in the Presence of its Toxic Impurities in Human Plasma; in silico Study and ADMET Calculations

Journal of Fluorescence - Cyclizine (CYZ); an antiemetic compound; is widely misused for its euphoric or hallucinatory effects, either by oral or intravenous routes. The concomitant abuse of CYZ...     

Synthesis,biological evaluation,and docking studies of various β-substituted porphyrin conjugates embedded with N-containing heterocycles

A new methodology for the synthesis of some new β-porphyrin heterocyclic compounds containing nitrogen derivatives 10 , 12 , 13 , 15 , 17 , 19 , 21 , 22 , 25 , 27 , and 29 was screened for their cytotoxic activities. Both elemental and spectral analyses were used to confirm the structures of new compounds. Compounds 22 , 27 , and 21 exhibited very strong activity against the HepG2 cell line. Investigation of the binding between porphyrin 22 and the binding site of telomerase was performed by molecular docking.