Numerical simulation of solid tumor angiogenesis with Endostatin treatment： a combined analysis of inhibiting effect of anti-angiogenic factor and micro mechanical environment of extracellular matrix

To investigate the influence of anti-angiogenesis drug Endostatin on solid tumor angiogenesis, a mathematical model of tumor angiogenesis was developed with combined influences of local extra-cellular matrix mechanical environment, and the inhibiting effects of Angiostatin and Endostatin. Simulation results show that Angiostatin and Endostatin can effectively inhibit the process of tumor angiogenesis, and decrease the number of blood vessels in the tumor. The present model could be used as a valid theoretical method in the investigation of anti-angiogenic therapy of tumors.     

反正切级数的和

基于反正切函数恒等式利用裂项法给出了一类反正切级数■的和.     

Simulation of tumor microvasculature and microenvironment response to anti-angiogenic treatment by angiostatin and endostatin

The effects of anti-angiogenesis treatment by angiostatin and endostatin on normalization of tumor microvasculature and microenvironment are investigated, based on mathematical modeling and numerical simulation of tumor anti-angiogenesis and tumor haemodynamics. The results show that after anti-angiogenesis treatment: (i) the proliferation, growth, and branching of neo-vessels are effectively inhibited, and the extent of vascularization in tumors is accordingly reduced. (ii) the overall blood perfusion inside of tumor is declined, the plateau of tumor interstitial fluid pressure (IFP) is relieved, the interstitial fluid oozing out from the tumor periphery into the surrounding normal tissue is reduced, the reduction of overall extravasation across vasculature to tumor interstium is much less than the decreased overall blood perfusion, due to the decline of IFP, the intravasations is remarkablely effected by the change, in some cases there are no intravasation flow appear.     

两种代森金属配合物的合成及性能研究

用代森铵、硫酸锰、硫酸铜、乙酸镍在适宜条件下反应生成配合物合成代森铜镍、代森锰铜。通过红外测试、熔点测试、折光率测试对其物质结构进行表征。把所得产物配成不同浓度的溶液,以苹果为培养基进行抑菌实验,并与相同浓度的代森锰锌进行了抑菌对比试验,证明所得产物与代森锰锌具有类似的抑菌效果。     

凹凸棒黏土固载AlCl3的制备、表征及其催化水杨酸乙酰化活性

以凹凸棒黏土（ATP）为载体,采用回流吸附法制备了AlCl3负载型固体酸催化剂AlCl3/ATP,并将其用于催化阿司匹林合成反应。 利用红外光谱、X射线粉末衍射、比表面（BET）、能谱(EDS) 和Hammett指示剂等测试技术对催化剂结构、组成和酸强度进行了表征。 以催化合成阿司匹林收率为考察指标,对影响其催化性能的凹土酸处理浓度、热活化温度、催化剂用量和AlCl3负载量进行优化,并比较了载体和负载前后催化剂的催化性能。 结果表明, ATP经10 mol/L盐酸室温酸化12 h,300 ℃热活化2 h后对AlCl3的负载量达1.18 mmol/g,当AlCl3/ATP用量为水杨酸质量的5%时,其催化阿司匹林合成反应收率达92.5%,高于未负载的AlCl3催化剂及载体本身,且该催化剂重复使用多次仍可保持相当的活性。     

一类重积分解法的探讨

从一道考研试题入手,给出了当二重积分的被积函数或积分区域边界含x2-y2时的"双曲坐标变换"法.通过实例,对比说明该方法能够解决一类用直角坐标不易计算或不能计算的二重积分问题,并且可以运用到三重积分的计算上.     

一类含参量和式极限的定积分方法

借助于定积分定义,考虑一类与Riemann和有关的和式的极限,该和式中含有参数.得到一个有意思的结果并给出应用例子.     

一类与积分∫baf~n(x)dx相关的极限

针对第九届中国大学生数学竞赛(数学类)预赛的一道题进行拓广.通过对该竞赛题解答的关键步骤的分析,得到在较一般的情形下,与积分∫baf~n(x)dx相关的一类数列极限的简洁计算方法,给出相应函数类.     

二维离散数学模型模拟肿瘤内外血管生成

建立九点差分格式的二维离散数学模型,模拟肿瘤内外的血管生成,模型扩展了内皮细胞沿9个方向运动,考虑存在两根母血管的情况下,耦合内皮细胞在肿瘤内外不同力学环境下的随机、趋化和趋触性运动,数值生成了肿瘤内外异构的血管网.结果表明,该模型可以产生相对真实的具有接近肿瘤病理生理特性的血管网,可为临床研究提供有益的信息.     

强化全过程管理是基金项目完成的保证

基础研究是技术进步的基础，经济发展的后盾，国际交流的窗口，培养人才的摇篮，科学基金制的实行有利于稳定和加强基础性研究。本文从加强先期研究和技术储备、做好基金项目申请的组织工作、建立科学规范的管理机制、加强项目后期管理等几个方面介绍强化基金项目的全过程管理，以确保项目的高质量，提高基金项目的申报通过率。