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A Generalization of the mean size Formula of Wavelet Packets in L_p

Acta Mathematica Sinica,English Series 2005年第6期21卷 1475-1486页

作者： Song LI Guo Mao WANG Zhi Song LIU Department of Mathematics Zhejiang University Hangzhou 310027 P. R. China

The purpose of this paper is to investigate the mean size formula of wavelet packets in Lp for 0 〈 p ≤ ∞. We generalize a mean size formula of wavelet packets given in terms of the p-norm joint spectral radius and we also give some asymptotic formulas for the Lp-norm or quasi-norm on the subdivision trees. All results will be given in the general setting,

关键词： mean size joint spectral radii wavelet packet subdivision sequence

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Immunological Effect of Subunit Influenza Vaccine Entrapped by Liposomes

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Biomedical and Environmental Sciences 2009年第5期22卷 388-393页

作者： SHUI-HUA ZHANG JIA-XU LIANG SHU-YAN DAI XIAO-LIN QIU YAN-RONG YI YUN PAN College of Life Sciences and Technology Shanghai Jiao Tong University Shanghai 200240 China Shenzhen Neptunus Interlong Bio-technique Company Ltd Shenzhen 518054 Guangdong China

Objective To elevate the immunological effect of subunit influenza vaccine in infants and aged people （over 60） using liposomal adjuvant in the context of its relatively low immunity and to investigate the relation between vaccine antigens and liposomal characteristics. Methods Several formulations of liposomal subunit influenza vaccine were prepared. Their relevant characteristics were investigated to optimize the preparation method. Antisera obtained from immunizinged mice were used to evaluate the antibody titers of various samples by HI and EL1SA. Results Liposomal trivalent influenza vaccine prepared by film evaporation in combinedation with freeze-drying significantly increased its immunological effect in SPF Balb/e mice. Liposomal vaccine stimulated the antibody titer of H3N2, H1N1, and B much stronger than conventional influenza vaccine. As a result, liposomal vaccine （mean size： 4.5-5.5 pm, entrapment efficiency： 30%-40%） significantly increased the immunological effect of subunit influenza vaccine. Conclusion The immune effect of liposomal vaccine depends on different antigens, and enhanced immunity is not positively correlated with the mean size of liposome or its entrapped efficiency.

关键词： Liposome Subunit influenza vaccine size distribution mean size Entrapped efficiency

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SHOULD BESTOW MORE PHYSICAL CONNOTATION ON GRAIN size PARAMETER

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International Journal of Sediment Research 1997年第3期 54-61页

作者： CHEN YingyanAssociate Professor, Institute of Mountain Hazards and Environment, Chinese Academy of Sciences, Chengdu, Sichuan, 610041, China

Traditional methods for getting mean size of grain or sediment are derived from some mathematical transform, hence these methods make the mean size lose its physical significance to some extent. This paper discusses some inadequacies of these methods and introduces a new calculative method of mean size which is called equal volume and surface area one. This method has a clearly physical significance and bestows more plenty physical connotation on size parameter. After using this method. we have obtained more satisfactory results than using the traditional ones. Although this method is not quite perfect, anyway it is based on describing physical characteristics of *** smash the pure mathematical transform shackles. We believe it will get a wider use than traditional mean parameters.

关键词： mean size mathematical transform physical connotation equal volume and surface pseudo-black hole

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Optimal design and experimental measurement of the subharmonic characterizations of encapsulated microbubble

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Chinese Journal of Acoustics 2006年第1期25卷 45-57页

作者： ZONG Yujin WAN Mingxi WANG Suping CHEN Hong ZHANG Guolu The Key Laboratory of Biomedical Information Engineering of Ministry of Education and Department of Biomedical engineering School of Life Science and Technology Xi'an Jiaotong University Xi'an 710049

Based on a theoretical motion equation of encapsulated microbubbles within an ultrasound field, the subharmonic characterizations of microbubbles are optimally designed and analyzed by a computer aided design system. The effects of size, shell elasticity and acoustic pressure on subharmonic response of microbubbles are calculated theoretically to obtain the optimal parameters for nondestructive subharmonic imaging. In addition, microbubbles with different shell elasticity are prepared, and their subharmonic responses are measured in vitro. The results of theoretical calculation and acoustic measurement show that good subharmonic enhancement can be obtained by using the encapsulated microbubbles with the mean size of 3 μm, which were prepared from the surfactant solution with the proper ratio of shell material. It is also shown that the best operating acoustic pressure is 200 to 400 kPa for nondestructive subharmonic imaging based on such kind of microbubbles.

关键词： acoustic pressure computer aided design system theoretical calculation acoustic measurement surfactant solution optimal parameters ultrasound field motion equation mean size in vitro

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