A conformal mapping approach for investigating the free-boundary seepage from symmetric channels

We present a new method to investigate the two-dimensional free-boundary groundwater seepage from symmetric soil channels into a homogeneous isotropic porous medium. We use Levi–Civitá’s function to construct an integral representation for the conformal mapping of the complex potential domain onto the physical flow domain. A genetic algorithm (GA) is used to calculate the coefficients of the Maclaurin series expansion of Levi–Civitá’s function. The coordinates of the points from the channel contour, calculated by means of the integral representation, must satisfy the analytic equation of the contour. We use this condition to define the objective function of the genetic algorithm. Levi–Civitá’s function is afterwards used to calculate the seepage loss, the free lines, the streamlines, the equipotential lines, the isobars and the velocity field. Some examples illustrate the method.     

Application of the Combustion Method in a Closed Flask to the Lead Determination in Atmospheric Aerosols

Abstract

The destruction of the filter for metal determination in atmospheric aerosols is an important step in the analysis. Nowadays the decomposition of this kind of sample has not been completely solved, so it is interesting to study new methods for filter sample attack. In the present work the application of the combustion method in a closed flask for mixed cellulose esters filter decomposition for lead determination is proposed. For this purpose optimum operating conditions as stopper flask design, sample size, flask volume, shaking time and volume and concentration of absorbing solution are established, and accuracy and precision of the proposed method using AAS for the measurements is given. The results obtained by the closed flask combustion are compared with those found by wet attack with HNO₃. The method proposed is rapid, has low reagent contamination and no loss of lead by volatilization or by amalgamation occurs. This method shows an accuracy and a precision in good agreement with the standard method.     

Formation of Glyco-Functionalized Platinum Complexes by Cross-Metathesis and Evaluation of Their Efficacy in Inhibition of Lung Tumor Cell Lines

Syntheses of carbohydrate-functionalized platinum complexes resembling presently employed cytostatics were performed. Mono-allylated sugar substrates obtained in two steps from glucose and galactose were connected with 2-allyl diethyl malonate by cross-metathesis. Following hydrogenation and acidic cleavage of the ester and alkylidene functionalities gave dicarboxylated glycoconjugates, which were transformed into their diammine platinum complexes. The antitumor activities of these platinum complexes were checked by sensitivity testing with 11 lung cancer cell lines. The novel glucose-platinum complex proved to be comparable to the drug carboplatin.     

Gap formulas for closed linear relations

A classical formula for the gap between two densely defined closed operators in a Hilbert space is extended to the case of linear relations. Copyright © 2014 John Wiley & Sons, Ltd.     

Garcinielliptone G from Garcinia subelliptica Induces Apoptosis in Acute Leukemia Cells

Cytotoxicity and apoptosis-inducing properties of compounds isolated from Garcinia subelliptica leaves were investigated. The hexane-soluble portion of MeOH extracts of G. subelliptica leaves that showed cytotoxic activity was separated to yield seven compounds 1–7. Chemical structure analysis using NMR spectroscopy and mass spectrometry confirmed that compound 1 was canophyllol, and compounds 2–7 were garcinielliptones N, O, J, G, F, and garcinielliptin oxide, respectively. Among them, garcinielliptone G (5) showed growth inhibition by causing apoptosis in THP-1 and Jurkat cells derived from human acute monocytic leukemia and T lymphocyte cells, respectively. Apoptosis induced by garcinielliptone G (5) was demonstrated by the detection of early apoptotic cells with fluorescein-labeled Annexin V and increases in cleaved caspase-3 and cleaved PARP protein levels. However, the addition of caspase inhibitor Z-VAD-FMK did not affect growth arrest or apoptosis induction. These results suggest that garcinielliptone G (5) can induce both caspase-3 activation and caspase-independent apoptosis. Therefore, garcinielliptone G (5) may be a potential candidate for acute leukemia treatment.     

差分收敛法对双原子分子高J值转动谱线的预言

为了更精确地预言转动量子数J ≥ 100时双原子分子R支和Q支的振转跃迁谱线, 本文在考虑了转动能级展开式中高阶小项H_v的前提下重新推导出能更好地预言R支和Q支跃迁谱线的物理解析公式. 另一方面, 通过对差分收敛法计算过程的细致分析, 从物理误差的角度提出了一个在没有实验数据作为参照时仍然能有效收敛的重要物理判据. 应用这些新公式和新判据对TiF和CO分子R支振转跃迁谱线和TiF分子Q支振转跃迁谱线进行了研究. 结果表明: 包含高阶小项H_v的新公式的预言结果精度比原有不含H_v的公式的结果提高了一个数量级; 新判据的使用能更有效地减小预言谱线的可能误差, 提高预言结果精度. 最后通过与最小二乘法计算结果的对比, 进一步说明新公式和新判据在预言R支和Q支振转跃迁谱线数据方面的有效性和准确性.     

沿直线分布电荷体系电场线的解析解

通过求解电场线所满足的微分方程,得到了沿直线分布电荷体系电场线的严格解析解,根据所得电场线簇方程,讨论了各种沿直线分布电荷体系的电场线特点,并在计算机上利用Mathematica软件绘出了相应的电场线分布图.     

Apis mellifera syriaca Venom: Evaluation of Its Anticoagulant Effect,Proteolytic Activity,and Cytotoxicity along with Its Two Main Compounds—MEL and PLA2—On HeLa Cancer Cells

Bee venom (BV) is one of the most remarkable natural products that has been a subject of studies since ancient times. Recent studies have shown that Apis mellifera syriaca venom possesses antibacterial as well as cytotoxic effects on cancer cell lines. The venom contains a variety of bioactive molecules—mainly melittin (MEL) and phospholipase A2 (PLA2), as well as other compounds that are not well characterized. In this work, we continue the biological characterization of A. mellifera syriaca venom by testing its anticoagulant effect on human plasma using the prothrombin time (PT) test, as well as assessing its proteolytic activity. In addition, the cytotoxicity of the crude venom—and of its two main components, MEL and PLA2—was tested on HeLa cancer cell lines for the first time. The results obtained showed the capacity of A. mellifera syriaca venom to increase clotting time, thereby proving its anticoagulant effect. Moreover, the venom did not demonstrate a significant proteolytic activity unless administrated at concentrations ≥ 5 mg/mL. Finally, we showed that crude A. mellifera syriaca venom, along with MEL, exhibit a strong in vitro cytotoxic effect on HeLa cancer cell lines, even at low concentrations. In summary, our findings could serve as a basis for the development of new natural-based drug candidates in the therapeutic field.     

动生、感生电动势与法拉第电磁感应定律等价性的研究

法拉第电磁感应定律与动生电动势、感生电动势之和是完全等价的。本文通过实例证明,等价是有条件的。当回路中存在大块导体时,则不等价。     

混合染料荧光选择性增强受激拉曼散射Stokes波

报道用不同混合比的罗丹明6G(R6G)和罗丹明B(RB)混合染料荧光选择性放大CCl₄和苯的受激拉曼散射不同阶次Stokes波。CCl₄二至五阶Stokes波分别被混合摩尔比为20∶2,20∶13及20∶40(R6g∶RB)的R6G和RB的混合染料荧光放大;一阶Stokes波强度被混合溶液削弱。这是由于到二至五阶Stokes波分别位于以上三种混合溶液荧光峰附近,并且都远离了R6G和RB的吸收峰,混合溶液的荧光增强作用大于吸收作用,因此这几阶Stokes被混合溶液荧光放大。而CCl₄的一阶Stokes位于RB吸收峰附近,又远离各混合溶液荧光峰,溶液的吸收作用大于荧光增强作用,导致一阶Stokes被混合溶液削弱。文章还报道了苯的一、二和三阶Stokes波分别被不同混合比的R6G和DCM的混合乙醇溶液放大,并预测了该方法应用前景。