A class of similarity solutions for radial motions of compressible hyperelastic spheres and cylinders

A class of similarity solutions is obtained for radial motions of spherical and cylindrical bodies made of a certain type of compressible hyperelastic materials. The equations satisfied by the infinitesimal generators of the symmetry group of the unified governing first order field equations for spheres and cylinders are found. It is shown that these equations admit a special class of solutions which generate a five-parameter group of transformations. The form of the strain energy function corresponding to the resulting symmetry group is evaluated. The similarity variable is determined and ordinary differential equations satisfied by similarity solutions are obtained. Numerical solutions are given for a Ko material which falls into the class of admissible materials.     

In vitro evaluation of apoptosis detection by 99mTc-tetrofosmin in MCF-7 breast cancer cell line

Radiolabeled molecules have an important role to evaluate tumor characteristics such as aggressiveness, and to identify the effectiveness of cancer treatments such as chemotherapy and radiotherapy. Various radionuclide (¹⁸F, ^99mTc, ¹²⁴I) labeled molecules can be used apoptosis detection by estimating decrescendos cell viability after therapy. ^99mTc-tetrofosmin which is used as a myocardial perfusion imaging agent in routine and at the same time is known to accumulate in various tumors including breast tumor. The aim of this study was to assess the utility of ^99mTc-tetrofosmin for monitoring the early response of MCF-7 breast cancer to chemotherapy. To evaluate the role of ^99mTc-tetrofosmin in vitro chemotherapy, the uptake ratio was determined using MCF-7 breast cancer line after the cells had been treated with cisplatin. When we examined the apoptotic ratios which induced with different dose of cisplatin in MCF-7 breast cancer cells by using Annexin V and TUNEL methods, it was observed that the rate of apoptosis increased with soaring dose. The uptake rates of ^99mTc-tetrofosmin in MCF-7 cell line in the chemotherapeutic groups were lower than it is in the control group (p < 0.01). The negative correlation between uptake ratios and apoptotic rates shows that ^99mTc-tetrofosmin may be used a radiopharmaceutical for evaluating chemotherapy response. ^99mTc-tetrofosmin might be probably useful as an imaging agent for estimation of early chemotherapy response in breast cancer.     

Exact Solutions of Klein-Gordon Equation with Exponential Scalar and Vector Potentials

We obtain the exact analytical solution of the Klein-Gordon equation for the exponential vector and scalar potentials by using the asymptotic iteration method. For the scalar potential greater than the vector potential case, the exact bound state energy eigenvalues and corresponding eigenfunctions are presented. The bound state eigenfunction solutions are obtained in terms of the confluent hypergeometric functions.     

Development and Validation of Analytical Methods for the Detection and Quantification of a Novel Dimeric Ceramide in Stratum Corneum and Other Layers of the Skin

Ceramides (CERs) are integral parts of the intercellular lipid lamellae of the stratum corneum (SC), which is responsible for the barrier function of the skin. Many skin diseases such as atopic dermatitis and psoriasis are associated with depletion or disturbance of the level of CERs in the SC. Administration of an exogenous novel dimeric ceramide (dCER) deep into the SC may help to stabilize the SC barrier substantially and to treat some skin disease conditions and with the help of the existing technology it might be possible to formulate various pharmaceutical dosage forms that can facilitate penetration of dCER into the SC. However, assessment of the rate and extent of permeability of the exogenous dCER involves appropriate analytical techniques which can discriminately quantify the exogenous dCER in the SC and in the other skin layers. Therefore, an attempt was made to develop an AMD-HPTLC and an HPLC/APCI-MS method for the detection and quantification of exogenous dCER in the SC as well as other skin layers. The method involved synthesis of the dCER and development of appropriate HPTLC and LC/ESI-MS methods for the separation and quantification of the dCER in the SC and deeper layers of the skin. The methods developed were optimized for quantification of a novel dCER. In comparison to the AMD-HPTLC method, the HPLC/MS method offers a higher sensitivity. Both methods could be used for the quantification of dCER in presence of a complex matrix (e.g., skin extract). The developed methods are complementary and could be used for the quantification of dCER in any further stage of substance research and industrial application. The methods developed are robust, linear and sensitive with a low limit of detection (LOD) and low limit of quantification (LOQ).

     

Excited state properties of 5H-dibenzo(a,d) cycloheptene

A number of photophysical properties of 5H-dibenzo(a,d) cycloheptene have been measured including the emission and triplet-triplet absorption spectra. The quantum yields and decay parameters for the triplet state of this molecule as a function of temperature have also been measured. The results are discussed and compared to those of molecules.     

Estimating parameters of a multiple autoregressive model by the modified maximum likelihood method

We consider a multiple autoregressive model with non-normal error distributions, the latter being more prevalent in practice than the usually assumed normal distribution. Since the maximum likelihood equations have convergence problems (Puthenpura and Sinha, 1986) [11], we work out modified maximum likelihood equations by expressing the maximum likelihood equations in terms of ordered residuals and linearizing intractable nonlinear functions (Tiku and Suresh, 1992) [8]. The solutions, called modified maximum estimators, are explicit functions of sample observations and therefore easy to compute. They are under some very general regularity conditions asymptotically unbiased and efficient (Vaughan and Tiku, 2000) [4]. We show that for small sample sizes, they have negligible bias and are considerably more efficient than the traditional least squares estimators. We show that our estimators are robust to plausible deviations from an assumed distribution and are therefore enormously advantageous as compared to the least squares estimators. We give a real life example.     

High resolution electronic absorption spectra of aniline, anilino and silicon dioxide

High resolution electronic absorption spectra of aniline and anilino free radical have been recorded in the vapor phase at room temperature by flash photolysis technique, and subsequent reactions have been investigated by kinetic spectroscopy. It was possible to follow the kinetics of the anilino radical's decay which occurred predominantly by bimolecular recombination. Decay parameters of anilino free radical were measured from the absorption bands.     

Evaluation of the multiobjective ant colony algorithm performances on biobjective quadratic assignment problems

The difficulty of resolving the multiobjective combinatorial optimization problems with traditional methods has directed researchers to investigate new approaches which perform better. In recent years some algorithms based on ant colony optimization (ACO) metaheuristic have been suggested to solve these multiobjective problems. In this study these algorithms have been reported and programmed both to solve the biobjective quadratic assignment problem (BiQAP) instances and to evaluate the performances of these algorithms. The robust parameter sets for each 12 multiobjective ant colony optimization (MOACO) algorithms have been calculated and BiQAP instances in the literature have been solved within these parameter sets. The performances of the algorithms have been evaluated by comparing the Pareto fronts obtained from these algorithms. In the evaluation step, a multi significance test is used in a non hierarchical structure, and a performance metric (P metric) essential for this test is introduced. Through this study, decision makers will be able to put in the biobjective algorithms in an order according to the priority values calculated from the algorithms’ Pareto fronts. Moreover, this is the first time that MOACO algorithms have been compared by solving BiQAPs.     

Vibrational Spectroscopic Studies on the tn-Td-Type Mn(tn)Zn(CN)4_2C6H6 and the Chelated tn-Td-Type Zn(tn)Zn(CN)4_2C6H6 Clathrates

IR spectra of Mn(trimethylenediamine)Zn(CN)₄2C₆H₆ and IR and Raman spectra of Zn(trimethylenediamine)Zn(CN)₄_2C₆H₆ are reported. The spectral data suggest that the host frameworks of these compounds are similar to those of the tn-Td-type Cd(trimethylenediamine)M(CN)₄_2benzene (M = Cd or Hg) and the chelated pn-Td-type Cd(propylenediamine)Cd(CN)₄_1,2-dichloro-ethane clathrates, respectively.