矩阵方程AX=B,XC=D的定秩解

本文研究了一类矩阵方程组解的秩的范围.利用矩阵的奇异值分解以及Frobenius范数的特征,得到了解的极值秩以及解的通式,并就这些问题的特殊情况进行了讨论,得到了一些结果.     

Numerical simulations of falling leaves using a pseudo-spectral method with volume penalization

The dynamics of falling leaves is studied by means of numerical simulations. The two-dimensional incompressible Navier–Stokes equations, coupled with the equations governing solid body dynamics, are solved using a Fourier pseudo-spectral method with volume penalization to impose no-slip boundary conditions. Comparison with other numerical methods is made. Simulations performed for different values of the Reynolds number show that its decrease stabilizes the free fall motion.     

Novel Lanthanide Complexes of Ciprofloxacin: Synthesis,Characterization, Crystal Structure and in vitro Antibacterial Activity Studies

Novel lanthanide coordination compounds with ciprofloxacin (CPFX), including eleven complexes Ln(CPFX)₂Cl(H₂O), (Ln=Pr, Nd, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb; n = 7, 8, 9) and crystalline [Ce(CPFX)₂ (H₂O)₄] Cl (H₂O)_3.25 (C₂H₅‐OH)_0.25, were synthesized. The crystal is of triclinic space group Pi with a= 1.3865(2) nm, b = 1.3899(3) nm, c = 1.6505(2) nm, a = 92.73(1)°, β= 114.39(1)°, γ=115.55 (1)°, Z = 2 and R = 0.0449. FT‐IR, electronic spectroscopy and X‐ray diffraction were employed to show that the lanthanide ion, which displays an eight‐coordinate structure, is chelated by 3‐carboxyl and 4‐keto oxygen donors of CPFX and two six‐membered chelate rings are formed. Test of in vitro antibacterial activity against E. coli, P. aeruginosa and S. aureus indicated that the in vitro antibacterial activity of the ligand can be improved by complexation with Ce(III).     

脂质组成对硫辛酸脂质纳米粒的制备及其稳定性的影响

采用高压均质法制备硫辛酸(ALA)脂质纳米粒(ALA-NLC),确定了负载ALA的最佳体系。通过高效液相色谱、动态光散射、流变等测试研究了脂质成分、含量对ALA负载、ALA-NLC稳定性和分散液流变性质的影响,并用原子力显微镜观察了ALA-NLC的形貌。结果表明,脂质/ALA质量比在4.5∶1～6∶1之间,得到的脂质纳米粒分散均匀,颗粒规则;脂质中液态油脂的增加有利于保持ALA-NLC的粒径,储存稳定性和分散液的低粘度,并得到两个有望用于食品工业的ALA-NLC配方。     

Determination of asperosaponin VI in rat plasma by HPLC‐ESI‐MS and its application to preliminary pharmacokinetic studies

Asperosaponin VI (also named akebia saponin D) is a typical bioactive triterpenoid saponin isolated from the rhizome of Dipsacus asper Wall (Dipsacaceae). In this work, a sensitive high‐performance liquid chromatography–electrospray ionization–mass spectrometry (HPLC‐ESI‐MS) assay has been established for determination of asperosaponin VI in rat plasma. With losartan as the internal standard (IS), plasma samples were prepared by protein precipitation with methanol. Chromatographic separation was performed on a C₁₈ column with a mobile phase of 10 mm ammonium acetate buffer containing 0.05% formic acid–methanol (32 : 68, v/v). The analysis was performed on an ESI in the selected ion monitoring mode using target ions at m/z 951.4 for asperosaponin VI and m/z 423.2 for the IS. The calibration curve was linear over the range 3–1000 ng/mL and the lower limit of quantification was 3.0 ng/mL. The intra‐ and inter‐assay variability values were less than 9.5 and 7.8%, respectively. The accuracies determined at the concentrations of 3.0, 100.0, 300.0 and 1000 ng/mL for asperosaponin VI were within ±15.0%. The validated method was successfully applied to a pharmacokinetic study in rats after oral administration of asperosaponin VI. Copyright © 2009 John Wiley & Sons, Ltd.     

二氧化碳对同质外延生长单晶金刚石内应力的影响

本文研究了在反应气体中引入不同浓度的CO₂对微波等离子体化学气相沉积(MPCVD)法同质外延生长单晶金刚石内应力的影响，并对其作用机理进行了分析。研究发现，随着CO₂浓度增加，单晶金刚石内应力逐渐减小，这是由于添加的CO₂提供了含氧基团，可以有效刻蚀金刚石生长过程中的非金刚石碳，并能够降低金刚石中杂质的含量，从而避免晶格畸变，减少生长缺陷，并最终表现为单晶金刚石内应力的减小，其中金刚石内应力以压应力的形式呈现。此外反应气体中加入CO₂可以降低单晶金刚石的生长速率和沉积温度，且在合适的碳氢氧原子比(5∶112∶4)下能够得到杂质少、结晶度高的单晶金刚石。     

The comparative pharmacokinetics of four bioactive ingredients after administration of Ramulus Cinnamomi–Radix Glycyrrhizae herb pair extract,Ramulus Cinnamomi extract and Radix Glycyrrhizae extract

Ramulus Cinnamomi (RC)–Radix Glycyrrhizae (RG) is a classic herb pair, which is commonly used as a fixed form to treat cardiovascular disease in the clinic. Our work aimed to compare the pharmacokinetic difference of cinnamic acid, liquiritin, isoliquiritigenin and glycyrrhetinic acid in rats after oral administration of the RC–RG herb pair extracts [Guizhigancao Decoction (GGD) and Lingguizhugan Decoction (LGZGD)] and the single RC or RG extract. A HPLC‐MS method was developed and validated to study comparative pharmacokinetics. The pharmacokinetic parameters (C_max, AUC, MRT) of four compounds between the RC–RG herb pair group and the single herb (RC or RG) group showed significant differences (p < 0.05). Compared with the single herb (RC or RG) group, higher peak concentration, slower elimination and larger exposure could be observed after giving the RC–RG herb‐pair extracts. The pharmacokinetic differences might indicate the relativity of remedy in the RC–RG herb pair and provide scientific information for rational administration of the drug in the clinic. Copyright © 2016 John Wiley & Sons, Ltd.