Exact solutions to the time-fractional differential equations via local fractional derivatives

This article utilizes the local fractional derivative and the exp-function method to construct the exact solutions of nonlinear time-fractional differential equations (FDEs). For illustrating the validity of the method, it is applied to the time-fractional Camassa–Holm equation and the time-fractional-generalized fifth-order KdV equation. Moreover, the exact solutions are obtained for the equations which are formed by different parameter values related to the time-fractional-generalized fifth-order KdV equation. This method is an reliable and efficient mathematical tool for solving FDEs and it can be applied to other non-linear FDEs.     

Composition Dependency of Lattice Anisotropy of TlBX2‐type Chain Mixed Crystals

Variation of the lattice parameters of TlTl_1‐xIn_xSe₂ chain mixed crystals with composition have been studied by X‐ray diffraction technique. The lattice anisotropy ( c/a ) of the TlBX₂‐type mixed crystals changes linearly with substitution of the atoms located both at the center and at the vertices of the BX4 tetrahedra. A brief survey of the important features of the effect of isomorphic atom substitution on the lattice anisotropy of TlBX₂‐type mixed crystals with chain structure has been presented.     

Developing an early warning system to predict currency crises

The purpose of this paper is to develop an early warning system to predict currency crises. In this study, a data set covering the period of January 1992–December 2011 of Turkish economy is used, and an early warning system is developed with artificial neural networks (ANN), decision trees, and logistic regression models. Financial Pressure Index (FPI) is an aggregated value, composed of the percentage changes in dollar exchange rate, gross foreign exchange reserves of the Central Bank, and overnight interest rate. In this study, FPI is the dependent variable, and thirty-two macroeconomic indicators are the independent variables. Three models, which are tested in Turkish crisis cases, have given clear signals that predicted the 1994 and 2001 crises 12 months earlier. Considering all three prediction model results, Turkey’s economy is not expected to have a currency crisis (ceteris paribus) until the end of 2012. This study presents uniqueness in that decision support model developed in this study uses basic macroeconomic indicators to predict crises up to a year before they actually happened with an accuracy rate of approximately 95%. It also ranks the leading factors of currency crisis with regard to their importance in predicting the crisis.     

Optimization of a validated stability‐indicating RP‐LC method for the determination of fulvestrant from polymeric based nanoparticle systems,drugs and biological samples

Fulvestrant is used for the treatment of hormone receptor‐positive metastatic breast cancer in postmenopausal women with disease progression following anti‐estrogen therapy. Several reversed‐phase columns with variable silica materials, diameters, lengths, etc., were tested for the optimization study. A good chromatographic separation was achieved using a Waters X‐Terra RP₁₈ column (250 × 4.6 mm i.d. × 5 µm) and a mobile phase, consisting of a mixture of acetonitrile–water (65:35; v/v) containing phosphoric acid (0.1%). The separation was carried out 40°C with detection at 215 nm.The calibration curves were linear over the concentration range between 1.0–300 and 1.0–200 µg/mL for standard solutions and biological media, respectively. The proposed method is accurate and reproducible. Forced degradation studies were also realized. This fully validated method allows the direct determination of fulvestrant in dosage form and biological samples. The average recovery of the added fulvestrant amount in the samples was between 98.22 and104.03%. The proposed method was also applied for the determination of fulvestrant from the polymeric‐based nanoparticle systems. No interference from using polymers and other excipients was observed in in vitro drug release studies. Therefore an incorporation efficiency of fulvestrant‐loaded nanoparticle could be determined accurately and specifically. Copyright © 2014 John Wiley & Sons, Ltd.     

MASH Suite: A User-Friendly and Versatile Software Interface for High-Resolution Mass Spectrometry Data Interpretation and Visualization

The rapid advancements in mass spectrometry (MS) instrumentation, particularly in Fourier transform (FT) MS, have made the acquisition of high-resolution and high-accuracy mass measurements routine. However, the software tools for the interpretation of high-resolution MS data are underdeveloped. Although several algorithms for the automatic processing of high-resolution MS data are available, there is still an urgent need for a user-friendly interface with functions that allow users to visualize and validate the computational output. Therefore, we have developed MASH Suite, a user-friendly and versatile software interface for processing high-resolution MS data. MASH Suite contains a wide range of features that allow users to easily navigate through data analysis, visualize complex high-resolution MS data, and manually validate automatically processed results. Furthermore, it provides easy, fast, and reliable interpretation of top-down, middle-down, and bottom-up MS data. MASH Suite is convenient, easily operated, and freely available. It can greatly facilitate the comprehensive interpretation and validation of high-resolution MS data with high accuracy and reliability.

Desolvation and Dehydrogenation of Solvated Magnesium Salts of Dodecahydrododecaborate: Relationship between Structure and Thermal Decomposition

Attempts to synthesize solvent‐free MgB₁₂H₁₂ by heating various solvated forms (H₂O, NH₃, and CH₃OH) of the salt failed because of the competition between desolvation and dehydrogenation. This competition has been studied by thermogravimetric analysis (TGA) and temperature‐programmed desorption (TPD). Products were characterized by IR, solution‐ and solid‐state NMR spectroscopy, elemental analysis, and single‐crystal or powder X‐ray diffraction analysis. For hydrated salts, thermal decomposition proceeded in three stages, loss of water to form first hexahydrated then trihydrated, and finally loss of water and hydrogen to form polyhydroxylated complexes. For partially ammoniated salts, two stages of thermal decomposition were observed as ammonia and hydrogen were released with weight loss first of 14 % and then 5.5 %. Thermal decomposition of methanolated salts proceeded through a single step with a total weight loss of 32 % with the release of methanol, methane, and hydrogen. All the gaseous products of thermal decomposition were characterized by using mass spectrometry. Residual solid materials were characterized by solid‐state ¹¹B magic ‐ angle spinning (MAS) NMR spectroscopy and X‐ray powder diffraction analysis by which the molecular structures of hexahydrated and trihydrated complexes were solved. Both hydrogen and dihydrogen bonds were observed in structures of [Mg(H₂O)₆B₁₂H₁₂] ? 6 H₂O and [Mg(CH₃OH)₆B₁₂H₁₂] ? 6 CH₃OH, which were determined by single‐crystal X‐ray diffraction analysis. The structural factors influencing thermal decomposition behavior are identified and discussed. The dependence of dehydrogenation on the formation of dihydrogen bonds may be an important consideration in the design of solid‐state hydrogen storage materials.     

Determination of Manganese and Lead in Roadside Soil Samples by FAAS with Ultrasound Assisted Leaching

An Ultrasonic Leaching Method (ULM) was developed for the analysis of manganese and lead on roadside soil samples in order to assess the pollution from motor vehicle exhaust. The variations in analyte recoveries by sonication periods were investigated and optimum recovery conditions were determined. The leachates of the soil samples, Mn and Pb, were analyzed by flame atomic absorption spectrometry (FAAS). The recoveries of ULM were tested by comparing the results with those of the conventional extraction method (CE) for Mn and Pb. With regard to the dissolution process, higher recoveries were obtained using ULM than with CE in a relatively shorter time. The precision of the method was found to be 1.9–3.7% for Pb and 4.6–8.4% for Mn (n = 4), as the average in terms of relative standard deviation (RSD%) depended on the analyte element concentrations and the nature of the samples. Using the ULM-FAAS method, significant results were obtained for Mn and Pb as vehicle exhaust pollutants. The pollution factors (PFs) obtained for Mn and Pb correlated mainly with vehicle exhaust emissions in different parts of Sivas and partly with some specific environmental conditions.__________From Zhurnal Analiticheskoi Khimii, Vol. 60, No. 5, 2005, pp. 529–535.Original English Text Copyright © 2005 by M. Ozkan, Gurkan, A. Ozkan, Akcay.This article was submitted by the authors in English.     

Diffusion,Adsorption and Electrode Kinetics of Electro‐oxidatons on a Stationary Solid Electrode

The i‐E oxidation curves, obtained using a boron doped diamond electrode, for studies of oxidations of two piperazine derivatives ARIP (I) and PIRI (II), resulted in a sharp increase of current in the range of the oxidation potentials. After reaching a value, depending on concentration of I or II, the current remains practically constant up to +1.6 V. Such limiting currents i₁ are a linear function of concentrations and depend on the v^1/2. Hence it is diffusion controlled, shifts of the oxidation potentials indicate, that the monoprotonated forms are oxidized. At more negative potentials a limiting current i₂ occurs, due to the oxidation of the diprotonated form. Current i₂ increases with decreasing pH in a shape of a part of a dissociation curve. Diffusion control reflects the large size of molecules I and II. The two‐electron oxidations yield a C=N bond in the piperazine ring. It seems to be the first reported diffusion controlled oxidation curves obtained on a stationary solid electrode.     

Solid electrodes in electroanalytical chemistry: present applications and prospects for high throughput screening of drug compounds

This review summarizes recent progress in the development and application of solid electrodes to the screening of pharmaceutical dosage forms and biological fluids. Recent trends and advances in the electroanalytical chemistry of solid electrodes, microelectrodes and electrochemical sensors are reviewed. The varieties of solid electrodes and their basic physico-chemical properties and some specific characteristics including some supramolecular phenomena at their surface are surveyed. This review also includes some selected designs and their applications. Despite many reviews about individual solid electrodes in the literature, this review offers the first comprehensive report on all forms of solid electrodes. Special attention is paid to the possibilities of solid electrodes in high throughput electroanalytical investigation of drug dosage forms and biological samples using modern electroanalytical techniques. Various selected studies on these subjects since 1996 are reviewed in this paper.