Electroanalytical Sensing of Green Tea Anticarcinogenic Catechin Compounds: Epigallocatechin Gallate and Epigallocatechin

A novel electroanalytical methodology for the sensing of anticarcinogenic catechin compounds epigallocatechin gallate (EGCG) and epigallocatechin (EGC) is presented. The protocol is based on the electrochemical oxidation of aminophenol in aqueous solutions, where the quinoneimine oxidation product chemically reacts with the EGCG or EGC compounds resulting in consumption of quinoneimine and consequently results in a reduction in the magnitude of the quinoneimine reduction wave, which is found to provide an analytical signal from which to indirectly detect EGCG and/or EGC.     

On certain modified boundary value problems for ordinary differential equations with irregular singularity

We consider a linear second-order differential equation with irregularly singular point at the beginning of the interval. For the corresponding homogeneous differential equation, we obtain the asymptotics of the solutions and their derivatives near the singular point. Using some modified Green functions and taking into account the asymptotics, we consider three boundary value problems with various boundary conditions (including a weighted one) at the singular point, proving theorems on the existence and uniqueness of the solutions and giving their structure. Lithuanian Mathematical Journal, Vol. 49, No. 1, 2009, pp. 109–121     

Heat transfer in composite materials with Stefan–Boltzmann interface conditions

In this paper, we discuss nonstationary heat transfer problems in composite materials. This problem can be formulated as the parabolic equation with Stefan–Boltzmann interface conditions. It is proved that there exists a unique global classical solution to one‐dimensional problems. Moreover, we propose a numerical algorithm by the finite difference method for this nonlinear transmission problem. Copyright © 2007 John Wiley & Sons, Ltd.     

A New Method for Computing Reproducing Kernels

§１．ＩｎｔｒｏｄｕｃｔｉｏｎＡｓｙｓｔｅｍａｔｉｃｒｅｓｅａｒｃｈｔｏｔｈｅｔｈｅｏｒｙｏｆｒｅｐｒｏｄｕｃｉｎｇｋｅｒｎｅｌｗａｓｆｉｒｓｔｍａｄｅｂｙＡｒｏｎｓｚａｊｎａｎｄＢｅｒｇｍａｎ［１］．Ｔｈｅｙｇａｖｅａｓｕｆｉｃｉｅｎｔａｎｄｎｅｃ...     

Rhenocene: Magnetic circular dichroism and laser-induced fluorescence in nitrogen matrices

Rhenocene generated in nitrogen matrices by photolysis of Re(η-C₅H₅)₂H, shows an intense, structured progression in magnetic circular dichroism. The non-linear magnetic field and temperature dependence of the dichroism indicate a ²E_2g(= 5/2) ground state. Lazer-induced fluorescence is used to establish the (0.0) component of the absorption band and to derive the energies of three totally symmetric vibrational fundamentals.     

The elasticity of elasticity

In this note we assert that the usual interpretation of what one means by “elasticity” is much too insular and illustrates our thesis by introducing implicit constitutive theories that can describe the non-dissipative response of solids. There is another important aspect to the introduction of such an implicit approach to the non-dissipative response of solids, the development of a hierarchy of approximations wherein, while the strains are infinitesimal the relationship between the stress and the linearized strain is non-linear. Such approximations would not be logically consistent within the context of explicit theories of Cauchy elasticity or Green elasticity that are currently popular.