Banach空间中Mann迭代和Ishikawa迭代的等价性问题

用不同于已有的方法证明了任意实Banach空间中一致Lipschitz强连接伪压缩算子在具误差的修正的Mann迭代和具误差的修正的Ishikawa迭代下收敛和稳定的等价性,其中迭代参数{βn}仅需lim sup n→∞βn〈k/L（L＋1）,这推广和改进了目前需假设lim n→∞ βn=0和两迭代程序初始点的取值需相同条件下的已有结果.     

驻波情形的液体声光效应的理论与实验研究

模拟计算了液体声光衍射的贝塞尔函数,测量了不同质量分数NaCl溶液对激光的衍射效率和不同温度纯水对激光衍射的相对光强比,计算了不同质量分数NaCl溶液的声光相位延迟、声致折射率变化量幅值.结果表明:随着NaCl溶液质量分数的增加,声光衍射效率、相对光强比、声致折射率变化量幅值均不同程度下降,而温度对纯水的相对光强比影响很小.     

Attenuation correction for dedicated breast PET using only emission data based on consistency conditions

Accurate attenuation correction is required in dedicated breast PET imaging systems for image artifact removal and quantitative studies. In this study, a method using only emission data based on consistency conditions is proposed for attenuation correction in breast PET imaging systems. The consistency conditions are exploited to evaluate the accuracy of the estimated attenuation distribution and find the appropriate parameters that yield the most consistent attenuation distribution with the measured emission data. We have proved the validity of the method with experimental investigations and single-patient studies using a dedicated breast PET. The results show that the method is capable of accurately estimating the attenuation distribution of a uniform attenuator from the experimental data with various relatively low activities. The results also show that in single-patient studies, the method is robust for the irregular boundary of breast tissue and provides a distinct improvement in image quality.     

Multi-Slit Diffraction of Evanescent Electromagnetic Waves

The well-known Fraunhofer multi-slit diffraction is described as the multi-slit interference modulated by the singleslit diffraction, namely the multiplication between the single-slit diffraction factor and the multi-slit interference factor. By considering the simplified argument we show that the multi-slit diffraction of evanescent waves which are in the near-field region also has the interference and diffraction effects, and that this two-fold effect can be expressed as the convolution of the diffraction factor and the interference factor. Our conclusion could be helpful to understand the contribution of evanescent waves to the optical responses of sub-wavelength structures such as slits and grooves.     

细胞色素P450 2E1催化下乙醛羟基化反应动力学同位素效应的理论研究

采用建立在Eyring绝对反应速率理论基础上的计算模型,对细胞色素P4502E1催化下乙醛羟基化反应动力学同位素效应进行了理论研究.计算表明,乙醛羟基化反应的动力学同位素效应大小约为5.0(Wigner量子校正后约为7.0左右),远比烷烃羟基化反应的动力学同位素效应要小的多.这个反应对温度比较敏感,所以反应存在明显的量子隧穿现象.文中还对动力学同位素效应给出了相应的过渡态构型方面的解释.     

外开槽同轴波导大轨道回旋自谐振脉塞放大器

 运用大轨道电子束,对外开槽同轴波导回旋自谐振放大器进行了线性动力学理论分析和非线性自洽模型模拟。由线性动力学理论分析和非线性模拟得到的结果在线性增长部分吻合得很好。为了有效抑制绝对不稳定性,对电子束流的选择进行了讨论。计算结果表明：对于电压为700 kV, 电流为100 A, 电子束纵横向速度比为0.8的大轨道电子束, TE₅₁外开槽同轴波导回旋自谐振脉塞放大器的峰值功率和峰值效率分别可以达到6.27 MW和8.96%。     

Synthesis of Caffeic Acid Sulphonamide Derivatives and Preliminary Exploration of Their Biological Applications

Structural modification of native compounds is an effective way to develop new drugs with increased pharmacological activities and improved material characteristics. In this study, caffeic acid sulphonamide derivatives(CSs) were synthesised by conjugating sulphonamides to the backbone of caffeic acid. The structures of these derivatives were elucidated by means of Fourier transform infrared spectroscopy(FTIR), ¹H NMR, ¹³C NMR, and electrospray ionization mass spectroscopy(ESI-MS). A content determination method was established by ultraviolet detection. The lipophilicity, 2,2-diphenyl-1-picrylhydrazy free radical(DPPH) scavenging capacity, anti-coagulant effects, anti-bacterial activity, cytotoxicity, in vitro anti-proliferative activity against tumour cells, and the ability of the compounds to promote the proliferation of chondrocytes were evaluated. The results indicate that CSs exhibit strong DPPH scavenging activity, high lipophilicity, good anti-coagulant activities, wide anti-bacterial activity range, low cytotoxicity, and an excellent ability to promote chondrocyte proliferation.     

核酸与抗癌药物的作用和广义荧光猝灭方程

通过荧光法在不同温度下研究了2种抗癌新药:吡柔比星和表柔比星与小牛胸腺DNA的作用,分别应用荧光猝灭和荧光加强理论公式计算了它们的结合常数等,进而分别计算了它们的热力学函数.首先,热力学研究结果表明核酸与药物作用属于氢键和/或Van der Waals力;其次,即使是核酸类生物大分子其与药物的作用,荧光猝灭和荧光加强公式的计算结果仍符合等效性规律;第三,本文对这些猝灭图、双倒数图、生成常数、和热力学数据的差异进行了综合分析比较,结果表明,基于荧光加强理论公式(4)获得的图谱和数值显示更为合理.因而我们建议,即使在研究受体-底物的荧光猝灭反应时,采用荧光加强理论公式(4)可以获得更符合实际的结果.结合以前的类似结果,我们指出:对于任何生物大分子和活性小分子(含金属离子)之间由给体-受体作用所导致的荧光猝灭和荧光加强效应,均可应用我们导出的荧光加强理论公式(4)进行处理,因此我们定名其为广义的荧光猝灭方程.     

二氧化锰添加剂对莫来石相发育及性能影响

以氧化铝和二氧化硅作为原料,二氧化锰作为添加剂,在烧结温度1300℃时,研究了不同二氧化锰添加量制备所得试样的结构和性能,通过对试样物相组成、显微结构、体积密度、显气孔率和抗折强度五方面的分析,研究了二氧化锰作为添加剂对莫来石相的形成、发育和性能的影响,并分析了莫来石相形成和发育过程中二氧化锰的作用机理.结果表明:MnO2的添加能促进固相烧结反应,降低烧结温度,抑制石英相的生长,促进莫来石相的形核和发育.同时在烧结过程中Mn4+能够加快晶粒生长.     

Applications of Modular Microfluidics Technology

Microfluidics has been widely used in the life science, analytical chemistry, environmental science and other fields in the recent years. Traditional microfluidics systems usually use a highly integrated system with multiple components for handling the fluid in the micro/nano scale. The design and fabrication of integrated microfluidics usually require highly sophisticated instruments and operation professionals. With the experience inherited from integrated circuit and micro electro mechanical system, the modular microfluidics system has been experienced a rapid development in recent years. Modular microfluidics system is a combination of a series of individual modules to achieve complicated liquid handling functions. Compared with conventional microfluidics approach, the modular microfluidics method has the potential in significantly reducing the fabrication cost by using the massive production of single chip, besides, it is easy to be operated, and the user can easily assembly the modules to obtain their customized microfluidics system. The concept of modular microfluidics also indicates the future development path for the standardization of microfluidics system and also provides a promising approach for the industrial massive production of microfluidics. However, the study of modular microfluidics is still in an early stage. Although lots of studies have been conducted with varies materials, fabrication methods and interface technologies, issues like modular interface still restricted the further development of microfluidics. In this paper, a comprehensive review for the latest research on the modular microfluidics and applications in biological and medical fields is provided, and the future research trends of modular microfluidics is also discussed.