KT-nearfields of rank 2

Summary Nearfields of rank 2 over their kernel which are not Dickson nearfields have recently been constructed by H. Zassenhaus. Here it is shown that KT-nearfields of rank 2 over their kernels and of characteristic 2 are necessarily Dickson nearfields which are coupled to quadratic field extensions and their Dickson group is isomorphic to ₂. Using results of Gröger one obtains all KT-nearfields of rank 2 over the field of rational numbers.     

Experimental and Computational Study of the Thermal Decomposition of 3‐Methyl‐3‐buten‐1‐ol in m‐Xylene Solution

An experimental study of the thermal decomposition of a β‐hydroxy alkene, 3‐methyl‐3‐buten‐1‐ol, in m‐xylene solution, has been carried out at five different temperatures in the range of 513.15–563.15 K. The temperature dependence of the rate constants for the decomposition of this compound in the corresponding Arrhenius equation is given by ln k (s^?1) = (25.65 ± 1.52) ? (17,944 ± 814) (kJ·mol^?1)·T^?1. A computational study has been carried out at the M05–2X/6–31+G(d,p) level of theory to calculate the rate constants and the activation parameters by the classical transition state theory. There is a good agreement between the experimental and calculated rate constants and activation Gibbs energies. The bonding characteristics of reactant, transition state, and products have been investigated by the natural bond orbital analysis, which provides the natural atomic charges and the Wiberg bond indices. Based on the results obtained, the mechanism proposed is a one‐step process proceeding through a six‐membered cyclic transition state, being a concerted and slightly asynchronous process. The results have been compared with those obtained previously by us (Struct Chem 2013, 24, 1811–1816) for the thermal decomposition of 3‐buten‐1‐ol, in m‐xylene solution. We can conclude that in the compound studied in this work, 3‐methyl‐3‐buten‐1‐ol, the effect of substitution at position 3 by a weakly activating CH₃ group is the stabilization of the transition state formed in the reaction and therefore a small increase in the rate of thermal decomposition.     

Structural and Kinetic Aspects of Blood Plasma Protein Adsorption on the Surface of Hydrophobic Polymers

Abstract

Due to the wide use of polymers in medicine, researchers are required to solve a very important problem–to understand the interaction between materials of nonphysiological origin and the surrounding biological liquids, and tissues, particularly blood.     

Spectral analysis for finite rank perturbations of diagonal operators in non-archimedean Hilbert space

In this paper we are concerned with the spectral analysis for some classes of finite rank perturbations of diagonal operators in the form, A = D + F, where D is a diagonal operator and F = u ₁ ? v ₁ + u ₂ ? v ₂ + … + u _m ? v _m is an operator of finite rank in the non-archimedean Hilbert space \(\mathbb{E}_\omega \) . Using the theory of Fredholm operators in the non-archimedean setting and the concept of essential spectrum for linear operators, we compute the spectrum of A. A few examples are given at the end of the paper to illustrate our main results.     

A fluorogenic assay using pressure-driven flow on a microchip.

A fluorogenic assay for human T-cell phosphatase (TCPTP) was conducted on an etched glass microchip using pressure driven flow. The TCPTP enzyme catalyzes the removal of a phosphate group from 6,8-difluoro-4-methylumbelliferyl/phosphate (DiFMUP) to produce the fluorogenic product 6,8-difluoro-4-methylumbelliferone (DiFMU). Enzyme assays with real-time on-chip dilution were performed in both low-viscosity (1 cP) buffer and an enzyme solution containing 50% glycerol (6 cP). Single side channels connect a series of reagent wells to a main channel where the fluorescent product of the enzyme reaction passes the detector region. Flow regulation of mixed viscosity fluids requires a pressure control on each arm of the chip contributing to the overall flow. An 8-channel pressure controller was built to regulate the air pressure above all wells feeding channels of the chip, thereby controlling the dilution ratios of buffer, substrate and enzyme. Well pressures maintained a constant concentration of enzyme in the detector channel while adjusting the flow contribution of substrate and buffer. The substrate concentration was stepped over two orders of magnitude while verifying fluid dilutions using marker dyes. The kinetic parameters, Km, Vmax, and Kcat, showed good agreement with the values determined using a standard well plate and fluorometer.     

Sharply 2- and 3-transitive groups with kernels of finite index

Aequationes mathematicae -