Multipliers on Vector-valued L~1-spaces for Hypergroups

In this article, we extend the well known Wendel's theorem to the context of vector-valued L~1-spaces on hypergroups. In this regard, various cases have been studied.     

Axioms of spheres in lightlike geometry of submanifolds

We prove that if an indefinite Kaehler manifold \(\bar {M}\) with lightlike submanifolds satisfies the axioms of holomorphic 2r-spheres, axioms of holomorphic 2r-planes, axioms of transversal r-spheres and axioms of transversal r-planes, then it is an indefinite complex space form.     

以液体核磁共振波谱分析与帕金森氏病相关的I93M 突变对人类泛素碳端水解酶结构的影响

人类泛素碳端水解酶（UCH-L1）是涉及帕金森氏病并且在神经元高度表达的蛋白．UCH-L1 的家族性突变与转译后修饰会引起聚集倾向增加与去泛素活性损失,这二者都可能成为致病因素．作者所在实验室之前的研究指出与帕金森氏病相关的突变I93M 显著降低UCH-L1 的折叠稳定性并且加速其构型展开动力学．该研究使用液体核磁共振分析方法,包括侧链甲基化学位移,松弛骨干动力学和残余偶极耦合,以进一步阐明I93M 突变如何影响UCH-L1 的结构和动态．结果显示I93M 显著影响突变位点周围的疏水核心侧链构型．然而,这样的结构扰动并不会影响在纳秒时间尺度的快速骨干动力学．透过残余偶极耦合分析显示UCH-L1 在水溶液中的结构与之前报道的晶体结构有相当显著的偏离,另外I93M 突变也导致超出突变位点的远距离结构扰动．这一系列水溶液结构的分析结果可补充之前已知的晶体学数据,并对UCH-L1 在帕金森氏病相关的基因突变影响并提供详细的见解．     

A comparative study on dual colour soft aperture cascaded second-order mode-locking with different nonlinear optical crystals

A comparative study in terms of optimized output power and stability is made on cascaded second-order nonlinear optical mode-locking with KTP, BBO and LBO crystals for both 1064 nm and 532 nm. Large nonlinear optical phase shift achieved in a non-phase-matched second harmonic generating crystal, is transformed into amplitude modulation through soft aperturing the nonlinear cavity mode variation at the laser gain medium to mode-lock a Nd:YVO4 laser. The laser delivers stable dual wavelength cw mode-locked pulse train with pulse duration 10.3 ps and average power of 1.84 W and 255 mW at 1064 nm and 532 nm respectively for the optimum performance in type-II KTP crystal. The exceptional stability achieved with KTP is accounted by simulating the mode-size variation with phase mismatch.     

METAL-COPOLYMER COMPLEXES OF N-ISOPROPYLACRYLAMIDE FOR AFFINITY PRECIPITATION OF PROTEINS

ABSTRACT

Copolymers of N-isopropylacrylamide (NIPAM) with styrene derivative of iminodiacetic acid (st-IDA) and 1-vinylimidazole (VI) were synthesized by radical copolymerization and metal complexation characteristics of the copolymers were investigated. The theromoprecipitation property of the copolymers indicate the application of Cu(II) loaded copolymer of poly(VI/NIPAM) as a potential carrier for the metal chelate affinity precipitation of proteins. The studies carried out on the purification of protein inhibitors from different cereals, suggest the specific interaction of metal ions bound on the copolymer and the histidine residues on the surface of the target protein. The recovered copolymers could be reloaded with metal ions and can be reused number of times with high efficiency.     

Growth and Approximation of Generalized Bi-Axially Symmetric Potentials

The paper deals with growth estimates and approximation (not necessarily entire) of solutions of certain elliptic partial differential equations. These solutions are called generalized bi-axially symmetric potentials (GBASP's). To obtain more refined measure of growth, we have defined $q$-proximate order and obtained the characterization of generalized $q$-type and generalized lower $q$-type with respect to $q$-proximate order of a GBASP in terms of approximation errors and ratio of these errors in sup norm.