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Reference分析最早由Bernardo(1979)提出的, Berger和Bernardo(1992a)做了进一步的发展. 而Berger 等(2001)提出了一个获得精确reference先验的方法, 它已经成为获取无信息先验的最成功的方法之一. 本文基于Berger等(2001)所提出的的算法, 研究了具有一般协方差结构的增长曲线模型的reference先验. 同时, 给出了相应结果的一些应用.     

单位圆中线性微分方程的解

本文研究了线性微分方程$f^{(k)}+A(z)f=0$ 和 $f^{(k)}+A(z)f=F(z)$解的性质,推广了原有的一些结果.     

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.