Theoretical research on rotational dispersion coefficient of fiber in turbulent shear flow of fiber suspension

The rotational dispersion coefficient of the fiber in the turbulent shear flow of fiber suspension was studied theoretically. The function of correlation moment between the different fluctuating velocity gradients of the flow was built firstly. Then the expression, dependent on the characteristic length, time, velocity and a dimensionless parameter related to the effect of wall, of rotational dispersion coefficient is derived. The derived expression of rotational dispersion coefficient can be employed to the inhomogeneous and non-isotropic turbulent flows. Furthermore it can be expanded to three-dimensional turbulent flows and serves the theoretical basis for solving the turbulent flow of fiber suspension.     

Structural Studies of Self‐Assembled Subviral Particles: Combining Cell‐Free Expression with 110 kHz MAS NMR Spectroscopy

Viral membrane proteins are prime targets in combatting infection. Still, the determination of their structure remains a challenge, both with respect to sample preparation and the need for structural methods allowing for analysis in a native‐like lipid environment. Cell‐free protein synthesis and solid‐state NMR spectroscopy are promising approaches in this context, the former with respect to its great potential in the native expression of complex proteins, and the latter for the analysis of membrane proteins in lipids. Herein, we show that milligram amounts of the small envelope protein of the duck hepatitis B virus (DHBV) can be produced by cell‐free expression, and that the protein self‐assembles into subviral particles. Proton‐detected 2D NMR spectra recorded at a magic‐angle‐spinning frequency of 110 kHz on <500 μg protein show a number of isolated peaks with line widths comparable to those of model membrane proteins, paving the way for structural studies of this protein that is homologous to a potential drug target in HBV infection.     

Spectrum envelope analysis for interleaved sampled gratings with phase-shift

An analytical method is proposed for calculating reflection-spectrum envelope of interleaved sampled gratings with phase-shifts. Effects of parameters on reflection-spectrum envelope of the grating are discussed, such as two grating segment lengths, phase-shift and interleaved length. The unique optimal interleaved length can be obtained to provide the broadest flat-top reflection-spectrum envelope without ripples. Accuracy of the analytical expression is verified due to the calculated results in good agreement with the reflection spectra obtained by the piecewise uniform transform matrix method.     

给定零点的最近复系数多项式计算问题

Nearest polynomial with given properties has many applications in control theory and applied mathematics. Given a complex univariate polynomial f(z) and a zero α, in this paper we explore the problem of computing a complex polynomial f(z) such that f(α) = 0 and the distance ∥f-f ∥ is minimal. Considering most of the existing works focus on either certain polynomial basis or certain vector norm, we propose a common computation framework based on both general polynomial basis and general vector norm, and summarize the computing process into a four-step algorithm. Further, to find the explicit expression of f(z), we focus on two specific norms which generalize the familiar lp-norm and mixed norm studied in the existing works, and then compute f(z) explicitly based on the proposed algorithm. We finally give a numerical example to show the effectiveness of our method.     

黄颡鱼MyoD基因的克隆及其表达

采用RT-PCR和RACE(cDNA末端快速扩增)方法克隆黄颡鱼MyoD(myogenic differentiation antigen,成肌分化抗原)基因的cDNA全长序列,对其进行生物信息学和在雌雄个体组织中的表达差异分析.结果表明,黄颡鱼MyoD基因编码区由810个碱基组成,编码269个氨基酸,其中第1～89个氨基酸为Basic区,第90～141个氨基酸为bHLH结构;黄颡鱼的MyoD基因与斑点叉尾鮰的同源性最高为93%.在雌雄成体组织中的表达分析显示,雄性个体中肌肉和胃组织中的表达量极显著高于雌性个体(p<0.01),雌性个体的肾脏和鳃组织中的表达量显著高于雄性(p<0.05).通过MyoD基因在雌雄个体中表现出的组织表达差异,认为这可能是造成黄颡鱼雌雄生长差异的重要因素之一.     

Hybrid particle swarm optimization and tabu search approach for selecting genes for tumor classification using gene expression data

Gene expression data are characterized by thousands even tens of thousands of measured genes on only a few tissue samples. This can lead either to possible overfitting and dimensional curse or even to a complete failure in analysis of microarray data. Gene selection is an important component for gene expression-based tumor classification systems. In this paper, we develop a hybrid particle swarm optimization (PSO) and tabu search (HPSOTS) approach for gene selection for tumor classification. The incorporation of tabu search (TS) as a local improvement procedure enables the algorithm HPSOTS to overleap local optima and show satisfactory performance. The proposed approach is applied to three different microarray data sets. Moreover, we compare the performance of HPSOTS on these datasets to that of stepwise selection, the pure TS and PSO algorithm. It has been demonstrated that the HPSOTS is a useful tool for gene selection and mining high dimension data.     

葡萄球菌肠毒素B基因原核表达系统的构建及其表达产物促淋巴细胞增殖和抑制肿瘤细胞生长作用的研究

构建葡萄球菌肠毒素B（staphylococcal enterotoxins B,SEB）基因原核表达系统,了解重组表达产物rSEB促淋巴细胞增殖和抑制肿瘤生长的作用．采用高保真PCR从金黄色葡萄球菌FRIS6B株DNA中扩增全长SEB基因片段,T—A克隆后测序,构建SEB基因原核表达系统pET32α-SEB—E．coliBL2IDE3．采用SDS-PAGE检测rSEB表达产量,Ni—NTA亲和层析法提纯rSEB．采用TCID50法测定rSEB对Vero细胞的细胞毒性作用并计算TCID50值．采用MTT比色法分别检测不同浓度rSEB体外对小鼠脾细胞、人外周血单个核细胞（PBMC）的促增殖作用以及对HepG2细胞（人肝腺癌细胞）、HeLa细胞（人宫颈癌上皮细胞）的生长抑制作用．与公布的相关序列比较,所克隆的SEB基因核苷酸序列相似性为100％．rSEB表达量约为细菌总蛋白的40％．rSEB对Vero细胞的TCIC50为3．02μg．5．0～20．0μg／ml的rSEB对小鼠脾细胞和人PBMC均有明显的促增殖作用（P〈0．05）．5．0～20．0μg／ml rSEB作用的人PBMC上清均能有效地抑制HepG2细胞和HeLa细胞生长（P〈0．05）．本研究成功地构建了rSEB高效原核表达系统．rSEB仍然具有生物学活性．所建立的细胞毒性、促淋巴细胞增殖和抑制肿瘤细胞生长作用的检测方法,为以后减毒rSEB突变体的筛选奠定了基础．     

二阶滞后型差分方程解的渐近性质

本文研究非线性差分方程 △~2x_n+q_nx_(n+1)=a_nφ(x_n+m)(x_n+k)+bn的解的渐近表示,设对应的齐次方程非振动,建立条件使方程的任意解可表成(z_n+y_n+z_no(1))的形式,其中z_n和y_n分别是对应齐次方程的主解和非主解。