On Some New Characterizations of Weakly Compact Sets and Super Weakly Compact Sets

本文致力弱紧集、超弱紧集的特征研究。我们利用广义的Davis-Figiel-Johnson-Pelzy\'nski定理以及广义的G\^ateaux可微性定理证明了“Banach空间的有界闭凸集是弱紧的当且仅当其能仿射一致嵌入进某个自反空间”、“Banach空间的有界闭凸集能Lipschitz嵌入进自反空间当且仅当其闭线性包本身就是自反子空间”(第二章)；利用对次微分、Fr\'echet可微、$w^*$-强暴露点以及Fr\'echet导数等的讨论证明了“Banach空间$X$的有界子集$K$是相对弱紧的当且仅当在$X^*$上存在$w^*$-l.s.c.半范$q$，使得：(i)$q$在其支撑集上的...This paper is aimed to the research of characterizations of the weakly compact sets and the super-weakly compact sets.Applying a generalized Davis-Figiel-Johnson-Pelzy\'nski's theorem and a generalized G\^ateaux differentiability theorem for Lipschitz mappings, we prove first that “a bounded closed convex subset $C$ of a Banach space $X$ is weakly compact if and only if $C$ can be affinely uniform...学位：理学博士院系专业：数学科学学院数学与应用数学系_基础数学学号：1902006015315

On the Coarse Embeddability of l_p-Spaces Into l_2

对l(_P-)空间与l_2之间粗嵌入关系作进一步的研究,证明了度量空间X可粗嵌入进l_2当且仅当存在某个20 such that X can be coarsely embedded into {l_p,2<p≤p_0} uniformly.This gave an equivalent condition for the coarse embeddability of metric spaces into l_2.国家自然科学基金(11101340;11201160); 福建省自然科学基金(2010J05012;2012J05006); 华侨大学高层次人才科研启动项目(11BS223

Intraparticle Mass and Heat Transport Model for Gas-Phase Propylene Polymerization Catalyzed with Metallocene Catalysts

在分析负载茂金属催化的丙烯气相聚合过程中催化剂颗粒破碎行为基础上,提出了该过程聚丙烯颗粒内部传质与传热物理模型,耦合丙烯聚合本征反应建立了丙烯气相聚合过程的单颗粒模型:改进的多粒模型。采用上述模型得到了丙烯气相聚合过程中聚丙烯颗粒内部的单体浓度、平均温度、颗粒内部的温度梯度以及催化剂活性中心浓度等的变化规律。模拟结果表明,聚丙烯颗粒内部的温度及催化剂浓度变化较小,而颗粒内部的传质阻力对聚合影响较大。另外,模拟结果也表明负载茂金属催化剂颗粒在聚合过程是一个由外到里的逐层破裂过程。Based on the analysis of the catalyst fragmentation during the polymerization,a physical model used to describe the mass and heat transport behaviors of the gas-phase propylene polymerization catalyzed by a silica-supported metallocene catalyst was proposed.Furthermore,a modified multigrain model(MMGM) was obtained by coupling the physical model proposed with the intrinsic reaction of the propylene polymerization.Accordingly,the variation rules of the monomer concentration,mean temperature,temperature gradient and catalyst concentration,etc.in the polymer particles were obtained based on the MMGM.The simulation results show that both the catalyst concentration change and temperature gradient in the polymer particles are very small and the intraparticle mass transport resistance has a great effect on the polymerization.In addition,the simulation results also show that the silica-supported metallocene catalyst fragmentation happens according to the shell-by-shell way from the surface to the centre of the catalyst during the polymerization.中国石油化工股份有限公司资助项目(x505029

截短组织因子作为效应因子的肿瘤血管靶向治疗

肿瘤的新陈代谢离不开血液供应,实体瘤的进行性生长依赖血管网的建立和发展,目前以肿瘤血管为靶点的治疗方案包括抗肿瘤血管生成治疗策略和阻断肿瘤血流策略。阻断肿瘤血流的治疗策略是破坏或栓塞已经存在的肿瘤血管,阻断肿瘤血流使肿瘤细胞坏死。阻断肿瘤血流策略中,治疗的靶点十分重要,其效应因子也同样重要,本文就截短组织因子(truncated Tissue Factor,tTF)作为肿瘤血管靶向治疗的效应因子的最新研究进展进行简要综述

肿瘤细胞核抗原特异性抗体治疗肿瘤的研究进展

肿瘤坏死靶向治疗(Tumor necrosis targeted therapy,TNT)是分子靶向治疗方法之一,针对肿瘤细胞核抗原的特异性抗体(肿瘤坏死靶向治疗抗体,TNT抗体)是肿瘤坏死靶向治疗的关键,嵌合性肿瘤细胞核单克隆抗体-3(chTNT-3)是目前临床实验效果最佳的TNT抗体,本文就TNT抗体的作用机制、chTNT-3及其衍生物治疗肿瘤的现状、TNT抗体的应用前景进行简要综述

靶向血栓蛋白(RGD)_3-tTF与肿瘤血管标志物α_vβ_3特异性结合能力的研究

背景与目的:研究靶向血栓蛋白(RGD)3-tTF融合蛋白结合肿瘤血管标志物整合素αvβ3的能力,旨在探讨融合蛋白的RGD多肽数量和化学结构与其结合整合素αvβ3能力的关系及其意义。材料与方法:用3个串联的RGD多肽与截短组织因子(truncated tissue factor,tTF)合成融合基因(RGD)3-tTF,表达于大肠杆菌(E.coli)BL21(DE3),用镍柱纯化融合蛋白。通过凝血实验检测融合蛋白tTF组分的活性,运用间接酶联免疫吸附试验(ELISA)分析其特异性结合整合素αvβ3的能力,并与RGD-tTF融合蛋白的活性进行比较。结果:(RGD)3-tTF与RGD-tTF融合蛋白凝血活性相似(F=0.019,P>0.05),但(RGD)3-tTF融合蛋白特异性结合整合素αvβ3的能力明显升高(F=140.17,P<0.01)。当融合蛋白浓度为0.24μmol/L时,(RGD)3-tTF融合蛋白的OD405nm值是RGD-tTF融合蛋白的1.32倍(1.25/0.95)。结论:(RGD)3-tTF融合蛋白带有两个二硫键和3个RGD多肽,保留了组织因子凝血活性的同时,提高了与整合素αvβ3特异性结合的能力,为开展选择性肿瘤血管血栓靶向治疗的动物实验奠定了基础

(RGD)_3-tTF融合蛋白选择性结合结肠癌裸鼠模型肿瘤血管的实验研究

背景与目的:肿瘤血管作为肿瘤分子靶向治疗的靶点受到广泛的关注,近年来有报道称利用抗体(Ab@作为组织因子(TF@胞外区截短组织因子(truncated tissue factor,tTF@的载体,表达的抗体--截短组织因子(Ab-tTF@融合蛋白能够选择性结合肿瘤血管,诱发实体肿瘤组织血管栓塞,导致肿瘤衰退,但是该方法存在一些弊端。本实验旨在研究以精氨酸-甘氨酸-天冬氨酸(GRGDSP,RGD@多肽作为tTF载体所表达的(RGD@3-tTF融合蛋白选择性结合结肠癌裸鼠模型肿瘤血管的能力。方法:用3个串联的RGD多肽与tTF合成融合基因(RGD@3-tTF,表达于大肠埃希菌(Escherichia coli,E.coli@BL21(DE3@,用镍柱纯化融合蛋白。用RGD-tTF融合蛋白作对照,通过凝血实验和凝血因子Ⅹ(FⅩ@活化实验检测(RGD@3-tTF融合蛋白的凝血活性,运用间接酶联免疫吸附试验(ELISA@方法分析其特异性结合肿瘤血管标志物整合素αvβ3的能力。结肠癌裸鼠模型分为3组(每组1只@,肿瘤组织分别用异硫氰酸荧光素(FITC@标记的(RGD@3-tTF、RGD-tTF融合蛋白、tTF进行荧光染色,免疫荧光实验分析融合蛋白在结肠癌裸鼠模型组织的定位。结果:(RGD@3-tTF融合蛋白保留了组织因子的凝血活性,在Ca2+存在时随着融合蛋白浓度的增加,凝血时间相应缩短,浓度为6μmol/L时,凝血时间为(9.96±0.56@min(与对照组比较,P0.05@。同浓度(RGD@3-tTF融合蛋白与整合素αvβ3的结合能力强于RGD-tTF(F=164.81,P<0.01@,当融合蛋白浓度为0.24μmol/L时,(RGD@3-tTF融合蛋白和RGD-tTF融合蛋白的A405nm分别为1.25和0.95。免疫荧光实验显示,(RGD@3-tTF融合蛋白富集于结肠癌裸鼠模型的肿瘤血管。结论:(RGD@3-tTF融合蛋白在保留组织因子凝血活性的同时通过高效、特异地结合肿瘤血管标志物整合素αvβ3,选择性地定位在结肠癌裸鼠模型的肿瘤血管上,为发展tTF作为效应因子的结肠癌分子靶向治疗奠定了基础

Radon-Nikodym property and the differentiability of convex function

本文得到了用范数的Gateaux可微性所刻划的Radon-Nikodym性质（RNP）的新的特征定理。In this paper,we obtained a new characterization theorem of Radon-Nikodym property(RNP) by the Gateaux differentiability of the norm.学位：理学硕士院系专业：数学系_基础数学学号：20002300

Radon-Nikodym Property and Gteaux Differentiability of Norms

本文研究了Banach空间中集合的RNP与范数的G^ateaux可微性之间的关系 ,给出了关于Banach空间中集合具RNP的一些充要条件This paper presents a characterization of convex sets in Banach spaces having the Radon-Nikodym property by using Gteaux differentiability properties of the norms

Human Hand as a Meta-tool

手的形成与手的工具化是相伴相生的自然选择过程。人手的形成必然具备工具化的特点,工具化了的手是人手形成的标志。手的形成意味着人类的诞生,人类最早的制造工具活动就是从"手"中开始的。手具有自然属性和工具属性:自然属性与一般动物无异,工具属性则从人类诞生之日起就存在着。手的形成过程就是其元工具特征演化并凝固于手的过程。而器械作为手的工具属性的延伸,成为了人类改造自然的强大力量。Human hand is a recta-tool. The forming of human hand and its function as a tool, which transacted each other, share a very long and same history. A human hand has to be a tool at first, and becoming a tool is the final stage of forming human hand. Human being must have human hand first and the first human behavior of making tools is from ＇hand＇. Human hand has natural property and instrumental property. The natural property of human hands is the same to animals＇, while the instrumental property exists only in human being as early as the existence of us. Machines which are powerful tool for practice, are the hands of human being＇ instrumental hand