薯蓣皂素免疫原的合成及其免疫效果分析

采用二环己基碳二亚胺(dicyclohexyIcarbodiimide，DCC)法和水溶性碳二亚胺[1-ethyl-3-(3-dimethy-laminopropyl)carbodiimide hydrochloride，EDC]法，分别将琥珀酸酐化的薯蓣皂素与牛血清白蛋白(bovine serurmalbumin，BSA)偶联，得到不同的免疫原，通过免疫获得兔多克隆抗体，用间接竞争性Dot-ELISA方法分析比较量两种免疫原的免疫效果，结果表明，DCC法合成的薯蓣皂素免疫原免疫效果优于EDC法。     

The length of a shortest geodesic net on a closed Riemannian manifold

In this paper we will estimate the smallest length of a minimal geodesic net on an arbitrary closed Riemannian manifold Mⁿ in terms of the diameter of this manifold and its dimension. Minimal geodesic nets are critical points of the length functional on the space of immersed graphs into a Riemannian manifold. We prove that there exists a minimal geodesic net that consists of m geodesics connecting two points p,q∈Mⁿ of total length ≤md, where m∈{2,…,(n+1)} and d is the diameter of Mⁿ. We also show that there exists a minimal geodesic net with at most n+1 vertices and geodesic segments of total length .These results significantly improve one of the results of [A. Nabutovsky, R. Rotman, The minimal length of a closed geodesic net on a Riemannian manifold with a nontrivial second homology group, Geom. Dedicata 113 (2005) 234-254] as well as most of the results of [A. Nabutovsky, R. Rotman, Volume, diameter and the minimal mass of a stationary 1-cycle, Geom. Funct. Anal. 14 (4) (2004) 748-790].     

求解常微分方程组的并行θ-块预估-校正法

为并行求解常微分方程组,本文给出了一类带有参数θ的块预估-校正法,并讨论了该类方法的稳定性和校正过程的收敛性。理论分析证明,该方法不仅稳定区间比一般的块预估-校正法大许多,而且具有很大的收敛区域。因此,非常适于并行求解常微分方程初值问题。数值实验验证了这一结论。     

Dynamic wettability of wood surface modified by acidic dyestuff and fixing agent

Acidic dyestuffs can bring brilliant colors to the wood and fixing agents can avoid the color loss. They could change the surface wettability of wood, which impact the gluing process of veneers. In condition of the higher moisture content of wood, the rare veneers, the veneers dyed by acidic dyestuffs and the dyed veneers fixed by Chitosan were glued respectively by one-component wet-curing isocyanate adhesive and the contact angles (θ) of the different gluing interfaces were measured. The dynamic wettability of these gluing interfaces was characterized by both the contact angle θ and the spreading-penetration parameter (K) calculated by θ. The results showed that the θ-values decreased significantly with the extension of time and the initial contact angles (θ_i) decreased with the moisture contents of veneers increasing, but the variation of the balance contact angles (θ_e) was reversed with θ_i. When the moisture contents of veneers were same, the variation of θ of the rare veneers was minimal and the variation of θ of the fixed veneers was maximal. The K-values of these gluing interfaces all decreased significantly with the moisture contents of veneers increasing, but the variations of K were different. The wetting model describing the dynamic wetting process was established on the basis of these variations.     

聚氧乙烯月桂醚在含醇的非水体系中的热力学性质的微量量热法研究

对于非离子表面活性剂聚氧乙烯月桂醚(Brij-35)/N,N-二甲基甲酰胺(DMF)/长链醇(庚醇,辛醇,壬醇,癸醇)体系,利用滴定微量量热仪测定了胶束形成过程的热功率-时间曲线.根据热力学理论,测定了临界胶束浓度和胶束形成热(ΔHmθ),计算了热力学函数(ΔGmθ和ΔSmθ).讨论了温度、醇中的碳原子数、醇的浓度与临界胶束浓度和热力学函数之间的关系.结果表明:聚氧乙烯月桂醚(Brij-35)/DMF/长链醇体系:(1)在含有相同浓度的各种醇的体系中,ΔHmθ和ΔSmθ的值随着温度的升高而增大;CMC,ΔGmθ的值随着温度的升高而降低;(2)在相同温度及相同浓度的醇体系中,CMC,ΔHmθ,ΔGmθ和ΔSmθ的值都随着醇中碳原子数的增加而降低;(3)在相同温度及相同醇的体系中,CMC,ΔHmθ,ΔSmθ和ΔGmθ的值随着醇的浓度的增加都减小.     

单调型条件下随机微分方程θ-方法的均方指数稳定性

本文研究高度非线性随机微分方程(SDEs)的数值解稳定性性质.给出θ-方法均方指数稳定性的充分条件.与现有文献不同,本文无需单边线性增长条件和充分小的步长.本文在单调型的条件下,并且至于要步长满足一个很弱的条件即可.因此本文是对现有文献的很大改进.     

Quadratic reflected BSDEs with unbounded obstacles

In this paper, we analyze a real-valued reflected backward stochastic differential equation (RBSDE) with an unbounded obstacle and an unbounded terminal condition when its generator f$f$ has quadratic growth in the z$z$-variable. In particular, we obtain existence, uniqueness, and stability results, and consider the optimal stopping for quadratic g$g$-evaluations. As an application of our results we analyze the obstacle problem for semi-linear parabolic PDEs in which the non-linearity appears as the square of the gradient. Finally, we prove a comparison theorem for these obstacle problems when the generator is concave in the z$z$-variable.     

带Neumann边界条件的延迟泛函偏微分方程线性θ-方法的稳定性

本文主要研究延迟泛函偏微分方程Neumann边值问题的数值稳定性.首先,获得解析解渐近稳定的充分条件,接着用线性θ-方法离散方程,对于参数θ的不同取值范围,讨论数值解的稳定性,与相应的Dirichlet边值问题相比,本文的结论更直观且易于验证.最后,给出了一些用以检验理论结果的数值例子.     

子群的θ-偶和群的结构

研究极大子群和2-极大子群的θ-偶对群结构的影响.设G是有限群,本文得到了:如果G的每一个极大子群M都有极大θ-偶(C,D),使MC=G且C/D是2-闭的,那么G可解;如果G的每一个2-极大子群H都有θ-偶(C,D),使C/D幂零且G=HC,那么G是幂零.     

θ型Calderón-Zygmund算子交换子的CBMO估计

讨论了满足一定条件的θ型Calderon—Zygmund奇异积分与CBMO函数生成的交换子在HAb^p空间及Herz型Hardy空间上的有界性．