Optimality for set functions with values in ordered vector spaces

Let (X, , ) be a finite atomless measure space,L a convex subfamily of , andY andZ locally convex Hausdorff topological vector spaces which are ordered by the conesC andD, respectively. LetF:LY beC-convex andG:LZ beD-convex set functions. Consider the following optimization problem (P): minimizeF(), subject to L andG() _D . The paper generalizes the Moreau-Rockafellar theorem with set functions. By applying this theorem, a Kuhn-Tucker type optimality condition and a Fritz John type optimality condition for problem (P) are established. The duality theorem for problem (P) is also studied.This work was partially supported by National Science Council, Taipei, Taiwan. This paper was written while the first author was visiting at the University of Iowa, 1987-88.The authors would like to express their gratitude to the two anonymous referees for their valuable comments. Also, they would like to thank Professor P. L. Yu for his encouragement and suggestions which improved the material presented here considerably.     

Quantitative characterization of chaotic instabilities in semiconductors

A method for quantitative characterization of chaotic dynamical systems is discussed. An electronic instrument for determining the number of independent variablesk ^*, involved in the motion, is described. It allows one to obtain these in real time from a single observable. The suggested technique has been applied to quantification of strange attractors underlying chaotic instabilities in semi-insulating GaAsCr, and n-Ge, irradiated with high energy electrons. In n-Ge, for instance, the measured numbersk ^* range from 2 to 4 depending on control parameters. These measurements reveal the highly deterministic nature of the observed chaotic oscillations. The physical mechanisms responsible for the current instabilities and chaotic behaviour are discussed.     

Urokinase片断的二级、三级结构预测及构效关系研究

urokinase(简称UK)属于絲氨酸蛋白酶,其一级结构已经测定。去掉前135个残基后得到的低分子量UK(LUK)氨基酸残基的顺序与糜胰蛋白酶、胰蛋白酶等絲氨酸蛋白酶十分类似。从二硫桥的配置来看LUK与糜胰蛋白酶比较接近,而UK对Lys侧链处肽键的专一性则和胰蛋白酶相近。在这一类酶中,起到活性中心作用的氨基酸为Ser195,His57及Asp102.在UK中此三个氨基酸都保留了下来。蛋白水解酶中起专一性作用的残基主要是     

Comparison of the dehalogenation of dihalomethanes (CH2XI, where X = Cl, Br, I) following ultraviolet photolysis in aqueous and NaCl saltwater environments

The ultraviolet photolysis of low concentrations of CH(2)XI (X = Cl, Br, I) were investigated in water and saltwater solutions by photochemistry and picosecond time-resolved resonance Raman spectroscopy. Photolysis in both kinds of solutions formed mostly CH(2)(OH)(2) and HI and HX products. However, photolysis of the CH(2)XI molecules in saltwater resulted in production of some CH(2)XCl products not observed in aqueous solutions without salt present. The appearance of these new products in saltwater solutions is accompanied by a decrease in the amount of CH(2)(OH)(2), HI, and HX products compared to photolysis in aqueous solutions without salt present. The possible implications for photolysis of CH(2)XI and other polyhalomethanes in seawater and other salt aqueous environments compared to nonsaltwater solvated environments is briefly discussed.     

Effects of polymer architecture and composition on the adhesion of poly(tetrafluoroethylene).

Poly(glycidyl methacrylate), PGMA, chains in linear and arborescent structures were incorporated onto surfaces of poly(tetrafluoroethylene), PTFE, films by hydrogen plasma and ozone treatment and atom transfer radical polymerization. The epoxide groups of the PGMA chains were further reacted with acetic acid (AAc), oxalic acid (XAc), allyl amine (AA), and ethylenediamine (EDN) to introduce hydroxyl and amine groups to the surfaces of the PTFE films. Surface characterizations performed by Fourier Transform infrared attenuated total reflectance (FTIR-ATR) spectroscopy and X-ray photoelectron spectroscopy (XPS) confirmed the surface modification and the chemical structure. The PGMA chains in arborescent structures show a high effectiveness for the enhancement of the adhesion of PTFE films. The adhesion of PTFE films was also significantly enhanced by ring-opening reactions of the PGMA epoxide groups with acetic acid and amine compounds. A high value of 9.5 N cm(-1) in the optimum 180 degrees peel strength test was observed with PTFE/copper assemblies.     

关于静电作用对酶活性部位残基pKa影响的定量计算

随着基因技术的发展,人们几乎已经可以任意替换蛋白质序列中的特定残基。由于理论上对蛋白质性能的预测工作还远远跟不上实验的发展,只能花费大量的人力、物力利用实验方法筛选突变体。这就迫切需要建立一套能够正确预测蛋白质性质的方法。静电作用在酶促反应中起到了重要作用。基于表面带电残基对酶活性部位残基pK_α的影响,可利用替换表面残基的方法改变酶促反应随pH的变化趋势,是蛋白质工程研究中的一种有效方法。由于表面极性残基处于高介电常数的溶剂(水)与低介电常数的蛋白质的界面上,对此问题尚未有圆满的理论方法进行解决。我们利用Kirkwood理论定量地表述了表面荷电残基的替换对酶活性部位残基pK_α的影响,为研究酶突变体的性质,如突变体的电化学性质、酶催化反应随pH变化趋势的改变,酶专一性的改变等提供了一种简便的方法。