聚乙烯胺类修饰萘酰亚胺衍生物的合成、DNA键合行为和活性研究

合成了二乙烯三胺、三乙烯四胺和四乙烯五胺等低分子量聚乙烯胺类修饰的萘酰亚胺衍生物.通过UV-Vis谱、荧光光谱、圆二色谱和热变性试验研究了合成化合物与小牛胸腺DNA的键合行为,同时通过四甲基偶氮唑蓝(MTT)染色法研究了化合物对Bel-7402(人肝癌细胞)、HL-60(白血病细胞)、A549(人肺癌细胞)和Hela(人宫颈癌细胞)等细胞株的体外抗肿瘤活性,化合物NI1对A549细胞显示良好的抑制活性,优于阳性对照顺铂.     

煅烧制度对Lu2Ti2O7粉体生长形貌的影响

采用熔盐法制备Lu2Ti2O7粉体,研究了不同煅烧工艺对粉体形貌的影响,确定了适用于Lu2Ti2O7粉体合成的工艺条件,并在利用XRD、SEM等方法分析表征样品的基础上,提出了初步的粉体形貌生长转变机制。实验结果表明:形核速率和生长速率对粉体的颗粒尺寸和形状影响很大,过快的形核速率和生长速率有利于多面棱柱状晶粒的生长,反之则有利于八面体形状的晶粒生长。     

三维动边值问题的迎风差分方法

可压缩可混溶油、水三维渗流动边值问题的研究,对重建盆地发育中油气资源运移、聚集的历史和评估油气资源的勘探与开发有重要的价值, 其数学模型是一组非线性耦合偏微分方程组的动边值问题. 该文对有界域的动边值问题提出一类新的二阶修正迎风差分格式, 应用区域变换、 变分形式、能量方法、差分算子乘积交换性理论、高阶差分算子的分解、微分方程先验估计的理论和技巧, 得到了最佳 $l^2$ 误差估计结果. 该方法已成功应用到油资评估的数值模拟中. 它对这一领域的模型分析, 数值方法和软件研制均有重要的价值.     

Upwind finite difference method for miscible oil and water displacement problem with moving boundary values

The research of the miscible oil and water displacement problem with moving boundary values is of great value to the history of oil-gas transport and accumulation in the basin evolution as well as to the rational evaluation in prospecting and exploiting oil-gas resources. The mathematical model can be described as a coupled system of nonlinear partial differential equations with moving boundary values. For the twodimensional bounded region, the upwind finite difference schemes are proposed. Some techniques, such as the calculus of variations, the change of variables, and the theory of a priori estimates, are used. The optimal orderl2-norm estimates are derived for the errors in the approximate solutions. The research is important both theoretically and practically for the model analysis in the field, the model numerical method, and the software development.     

Radiation energy flux of Dirac field of static spherically symmetric black holes

By the statistical entropy of the Dirac field of the static spherically symmetric black hole, the result is obtained that the radiation energy flux of the black hole is proportional to the quartic of the temperature of its event horizon. That is, the thermal radiation of the black hole always satisfies the generalised Stenfan--Boltzmann law. The derived generalised Stenfan--Boltzmann coefficient is no longer a constant. When the cut-off distance and the thin film thickness are both fixed, it is a proportional coefficient related to the space--time metric near the event horizon and the average radial effusion velocity of the radiation particles from the thin film. Finally, the radiation energy fluxes and the radiation powers of the Schwarzschild black hole and the Reissner--Nordstrõm black hole are derived, separately.     

非线性脉冲微分系统的双测度稳定性

该文研究了非线性脉冲微分系统的双测度稳定性问题,借助类似于Ｌｙａｐｕｎｏｖ函数的一类函数,建立了有关双测度稳定性的几个定理,这些定理均不要求类似的Ｌｙａｐｕｎｏｖ函数其广义导数在讨论的整个区域不变号,而只须在一些特殊取值处的导数具有固定的符号,推广和改进了已有的结果．最后阐述了这些定理的应用．     

三氯化铁催化的一锅法合成3,4-二氢嘧啶-2-酮

六水合三氯化铁催化下,β-酮酸酯、芳香醛、脲(1:1:1.5)在无水乙醇中进行环化缩合反应,合成了3,4-二氢嘧啶-2-酮衍生物,改进了Biginelli用盐酸为催化剂的一锅法反应,缩短了反应时间,操作简便,产率高达80%～90%,且Fe^3^+对环境友好。     

离子伯恩斯坦波对低杂波驱动电流影响的研究

利用改进的二维Fokker-Planck方程和低杂波射线轨迹程序研究了在低杂波和离子伯恩斯坦波协同作用下低杂波的功率沉积分布、驱动电流分布。数值结果显示在两波协同作用下低杂波驱动非感应电流的效率得到了很大的改善。     

Careful numerical simulation and analysis of migration-accumulation of Tanhai Region

Numerical simulation of careful parallel arithmetic of oil resources migration-accumulation of Tanhai Region (three-layer) was done. Careful parallel operator splitting-up implicit iterative scheme, parallel arithmetic program, parallel arithmetic information and alternating-direction mesh subdivision were put forward.Parallel arithmetic and analysis of different CPU combinations were done. This numerical simulation test and the actual conditions are basically coincident. The convergence estimation of the model problem has successfully solved the difficult problem in the fields of permeation fluid mechanics, computational mathematics and petroleum geology.     

Parallel arithmetic numerical simulation and application of secondary migration-accumulation of oil resources

From such actual conditions as the effects of characteristics of miltilayer petroleum geology and permeation fluid mechanics, a new numerical model is put forward and coupling splitting-up implicit interactive scheme is formed. For the actual situation of Dongying hollow ( four-layer ) and Tanhai region ( three-layer ) of Shengli Petroleum Field, the numerical simulation test results and the actual conditions are coincident.