ON MEAN CURVATURES OF A PARALLEL CONVEX BODY

In this article, we obtain some results about the mean curvature integrals of the parallel body of a convex set in R^n. These mean curvature integrals are generalizations of the Santalo＇s results.     

2-苄硫基-5,7-二甲氧基-1,2,4-三唑并[1,5-a]嘧啶的合成研究

2-苄硫基-5，7-二甲氧基-1，2，4-三唑并[1，5-a]嘧啶（Ⅲ）是磺草唑胺（metosulam）及1，2，4-三唑[1，5-a]嘧啶醚类超高效除草剂的重要中间体．由5-氨基-3-苄硫基-1，2，4-三唑（Ⅰ）为起始原料，经环合、氯代一步反应制得2-苄硫基-5，7-二氯-1，2，4-三唑并[1，5-a]嘧啶（Ⅱ）．优化试验发现90℃、丙二酸与（Ⅰ）摩尔比为1．1：1、反应20h时收率达85％以上．（Ⅱ）与甲醇钠进行置换反应制得（Ⅲ），对反应温度和物料配比进行了优化试验，发现25℃、甲醇钠与（Ⅱ）的摩尔比为5：1时收率达到90％以上．中间体（Ⅱ）、（Ⅲ）的结构经^1H-NMR、MS、IR确证．该方法原料易得、操作简便，总收率较高．     

BIOLUMINESCENCE TOMOGRAPHY： BIOMEDICAL BACKGROUND,MATHEMATICAL THEORY,AND NUMERICAL APPROXIMATION

Over the last couple of years molecular imaging has been rapidly developed to study physiological and pathological processes in vivo at the cellular and molecular levels. Among molecular imaging modalities, optical imaging stands out for its unique advantages, especially performance and cost-effectiveness. Bioluminescence tomography （BLT） is an emerging optical imaging mode with promising biomedical advantages. In this survey paper, we explain the biomedical significance of BLT, summarize theoretical results on the analysis and numerical solution of a diffusion based BLT model, and comment on a few extensions for the study of BLT.     

A LAW OF ITERATED LOGARITHM FOR THE MLE IN A RANDOM CENSORING MODEL WITH INCOMPLETE INFORMATION

In this article, a law of iterated logarithm for the maximum likelihood estimator in a random censoring model with incomplete information under certain regular conditions is obtained.     

Synthesis and antitumor activity of 9-methyl-10-hydroxycamptothecin

A novel camptothecin analogue, 9-methyl-10-hydroxycamptothecin （4）, was unexpectedly synthesized from 10-hydroxycamptothecin in two steps. The key step included an efficient Mannich-type reaction. The overall yield was 47.2%. An ether analogue of 4, 9-methyl-10-benzylaminomethoxycamptothecin （5）, was also prepared. These new camptothecin analogues were evaluated for in vitro cytotoxicity against four human cancer cell lines, and exhibited more potent antitumor activities than contrals camptothecin and topotecan against several cancer cells.     

矩阵方程∑rk=0AkXBk=F的解

讨论矩阵方程∑rk=0AkXBk=F存在惟一解的充要条件,并给出了两种迭代求解法.     

准确标记金属簇合物中的桥基配体

在金属有机化学的学习中 ,我阅读了一篇关于环戊二烯类有机金属含硫族化学新进展的图 1文献[1] 。在学习中 ,我发现文献中对含硫桥基配体的配位情况文字解释较清楚 ,但标记方法却不清晰 ,如标记“μ2 Ｓ2 ”可能是 :ＳＣｒＳＣｒ 或 ＳＣｒ Ｓ Ｃｒ 。又如Ｃｐ 2 Ｉｒ2 (μ2 Ｓ4) 2 (图 1 )中的两个Ｓ4配体均标记为 (μ2 Ｓ4)。这样对于桥基配体的标记 ,很难让读者从标记上了解到清晰的信息。　　考虑到桥基配体是金属簇合物中常见的一种配体 ,因此我特地到图书馆翻阅了 2 0多本提及金属簇合物的教科书 ,并在ＣＡ上查找了一些关于桥基配…