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Single Peak Solutions for a Schr?dinger Equation with Variable Exponent

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Acta Mathematica Sinica,English Series 2023年第11期39卷 2207-2218页

作者： zhong yuan liu Peng LUO Hua Fei XIE School of Mathematics and Statistics He’nan UniversityKaifeng 475004P.R.China School of Mathematics and Statistics&Hubei Key Laboratory of Mathematical Sciences Central China Normal UniversityWuhan 430079P.R.China School of Mathematics and Statistics Nanyang Normal UniversityNanyang 473061P.R.China

We study the following Schr?dinger equation with variable exponent−Δu+u=u^(p+∈a)(x),u>0 in R^(N),where∈>0,1 详细信息

We study the following Schr?dinger equation with variable exponent−Δu+u=u^(p+∈a)(x),u>0 in R^(N),where∈>0,1

关键词： Single peak solutions Schr?dinger equation variable exponent

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Down-Regulation of Bcl-2 Protein Sensitizes NCI-H460 Cells to Radiotherapy-Induced Apoptosis

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Chinese Journal of Clinical Oncology 2006年第2期3卷 110-113页

作者： Dongmei He yuan zhong Gexiu liu Institute of Hematology Medical Collegeof Jinan University Guangzhou 510632China.

OBJECTIVE To determine whether Bc1-2 protein down-regulation can render NCI-460 cells more susceptible to gamma radiation-induced apoptosis by treatment with antisense oligonucleotide （ASODN） against the coding region of Bcl-2 mRNA. METHODS Cell survival was determined using the trypan blue dye exclusion. Expression of the Bcl-2 protein was assayed using immunofluo- rescence labeling with fluoresce isothiocyanate. Apoptosis was determined by Giemsa staining and flow cytomertry. RESULTS It was found that Bcl-2 ASODN combined with radiation sig- nificantly reduced the number of viable cells （P〈0.05）. There was no difference in cell survival between a nonsense oligodeoxynucleotide/radiation combination and cells treated with radiation alone. Bcl-2 ASODN combined with radiation significantly inhibited expression of the Bcl-2 protein in the NCI-H460 cells （P〈0.05）. Using Giemsa staining, cells treated with Bcl-2 ASODN combined with radiation at 72 h displayed classic apoptotic changes. Apoptotic rates of the NCI-H460 cells treated with Bcl-2 ASODN combined with radiation significantly increased （P〈 0.05）, compared with either a nonsense oligodeoxynucleotide/radiation combination or radiation-treatment cells alone. CONCLUSION ASODN against the coding region of Bcl-2 mRNA increases radiation-induced apoptosis in NCI-H460 cells.

关键词： Bcl-2 ontisense oligonucleoticle.H460 cells rodiation apoptosis.

A probability theory for filtered ghost imaging

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Chinese Physics B 2023年第4期32卷 329-337页

作者：刘忠源孟少英陈希浩 Key Laboratory of Optoelectronic Devices and Detection Technology College of PhysicsLiaoning UniversityShenyang 110036China

Based on probability density functions,we present a theoretical model to explain filtered ghost imaging(FGI)we first proposed and experimentally demonstrated in 2017[***.425290(2017)].An analytic expression for the joint intensity probability density functions of filtered random speckle fields is derived according to their probability ***,the normalized second-order intensity correlation functions are calculated for the three cases of low-pass,bandpass and high-pass filterings to study the resolution and visibility in the FGI *** simulations show that the resolution and visibility predicted by our model agree well with the experimental results,which also explains why FGI can achieve a super-resolution image and better visibility than traditional ghost imaging.

关键词： ltered ghost imaging probability density function super-resolution

多重调和Dirichlet问题奇异正解的对称性

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数学学报（中文版） 2022年第1期65卷 115-122页

作者：刘忠原河南大学数学与统计学院开封475004

我们在穿孔单位球上研究下面多重调和Dirichlet问题{(-△)^(k)u=f(u),在B\{0}内,u>0,在B\{0}内,u=■u/■v=…=■^(k-1)u/■v^(k-1)=0,在■B上,其中,B是R^(N)中的单位球,v是■B的单位外法向量,N>2k,k≥2.在f满足适当假设条件下,如果0是不可去奇点,我们利用移动平面法得到奇异正解的径向对称性.由此,我们可以得到临界双调和Dirichlet问题正解的不存在性.

关键词：奇异正解的对称性多重调和问题移动平面法

Calculation of valence band structures of InAs/GaAs quantum ring and quantum dot:using numerical Fourier transform method

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The Journal of China Universities of Posts and Telecommunications 2010年第1期17卷 106-110页

作者： JIA Bo-yong,YU zhong-yuan,liu Yu-min,TIAN Hong-da Key Laboratory of Information Photonics and Optical Communications,Ministry of Education,Beijing University of Posts and Telecommunications,Beijing 100876,China [a] Key Laboratory of Information Photonics Optical Communications Ministry of Education Beijing University of Posts Telecommunications Beijing 100876 China

This article puts forward a new method in calculating the band structures of low-dimensional semiconductor structures. In this study, the valence band structures of InAs/GaAs quantum ring and lens-shaped quantum dot are calculated with four-band model, in the framework of effective-mass envelope function theory. To determine the Hamiltonian matrix elements, this article develops the numerical Fourier transform method instead of the widely used analytical integral method. The valence band mixing is considered. The hole energy levels change dramatically with the geometrical parameters of the quantum ring and quantum dot. It is demonstrated that numerical Fourier transform method can be adopted in low-dimensional structures with any shape. The results of Fourier transform method are consistent with the ones of analytical integral in literature; and they are helpful for studying and fabricating optoelectronic devices.

关键词： valence band structures quantum ring quantum dot numerical Fourier transform

Altered nuclear factor-kappaB inducing kinase expression in insulin-resistant mice

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Chinese Medical Journal 2011年第22期124卷 3646-3651页

作者： SU Lei XIU Ling-ling WEI Guo-hong zhong Xing liu yuan-yuan CAO Xiao-pei LI Yan-bing XIAO Hai-peng Department of Endocrinology First Affiliated Hospital of Sun Yat-sen University Guangzhou Guangdong 510080 China

Background Insulin resistance is an underlying feature of both type 2 diabetes and metabolic syndrome. Currently, it is unclear whether nuclear factor （NF）-KB inducing kinase （NIK） plays a role in the development of insulin resistance. The present in vivo study investigated the roles of NIK and IKB kinase a （IKKa） in obesity-induced insulin resistance using animal models. Methods NIK expression was evaluated by Western blotting in male Lepob mice and C57BL/6J mice fed a high-fat diet （HFD）（45% fat）. After metformin and sulfasalazine treatment, NIK expression was investigated during the improvement of insulin resistance. Results NIK was increased by about 1-fold in the renal tissues of Lepab mice and C57BL/6J mice fed a HFD for 12 weeks. After 1 and 3 weeks of high-fat feeding, we observed an almost 50% decrease in NIK and IKKa expression in the liver and renal tissues of C57BL/6J mice. NIK expression was significantly lower in the liver and renal tissues of HFD-fed mice that were treated with insulin sensitizers, metformin and sulfasalazine. However, IKKa expression was increased after metformin treatment in both tissues. Conclusion These results suggest a possible role of NIK in the liver and renal tissues of insulin-resistant mice.

关键词： nuclearfactor-KB inducing kinase IKbB kinase a renal tissue," liver tissue," insulin resistance

A NEW BIFUNCTIONAL CHELATING AGENT α,ε-N,N'-BIS(L-CYSTEINYL)-L-LYSINE FOR RADIOLABELLING OF MONOCLONAL ANTIBODIES WITH TECHNETIUM-99M

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Chinese Chemical Letters 1991年第4期2卷 285-288页

作者： Bi zhong LI yuan Fang liu Yong Hui WU Department of Technical PhysicsYun Hua YE Department of Chemistry,Peking University,Beijing 100871

α,ε-N,N'-bis(L-cysteinyl)-L-lysine was synthesized and char- acterized for the first *** was then employed as a bifunctional chelating agent to chelate technetium-99m and subsequently conjugated to fragment F(ab')_2... 详细信息

关键词： A NEW BIFUNCTIONAL CHELATING AGENT L-CYSTEINYL L-LYSINE FOR RADIOLABELLING OF MONOCLONAL ANTIBODIES WITH TECHNETIUM-99M N,N BIS

CRYSTAL AND MOLECULAR STRUCTURE OF N-CYANOMETHYL PH-THALIMIDE AND N-CYANOMETHYL SUCCIMIDE

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Chinese Journal of Structural Chemistry 1991年第3期10卷 187-191页

作者： Tu Jun-Li Deng Run-Hua Li Yue-PingChengdu Institute of Organic Chemistry, Academia SinicaZhou zhong-yuan liu Li Yu Kai-BeiChengdu Center of Analysis and Determination, Academia Sinica 中科院成都有机化学所四川成都中科院成都分院分析测试中心四川成都

Diethylaminoacetonitrile (1) reacts with phthalimide (2) or succirnide (3) to produce N-cyanomethyl phthalimide (4) C10H6O2N2 (Mr = 186. 168) or N-cyanomethyl succirnide (5) C6H6O2N2(Mr= 138. 128),respectively. Their molecular and crystal structures were determined by IR, 1H NMR, MS and X-ray diffraction analysis, compound (4) crystallizes in monoclinic space group P21/a(P21/c) ,with cell dimensions 0=8. 225(4) ,6= 10. 956(4),c= 10. 041(5) A .β=102. 43(4)°,V=883. 1A3, μ= 0. 90cm-1, F (000) = 384, Z = 4; compound (5) crystallizes in monoclinic space group P1,with a=8. 404(2),b = 9. 710(2),c= 10. 093(2) A ,α= 104. 73(2)°,β = 108. 55(2)°, γ= 112. 03(2)°,V= 655. 2 A3,μ= 1.0cm-1 ,F(000) = 288,Z= 4. The average inner angles of the five-membered ring of (4) and (5) are about 108°. The imide and the carbon atom of the methylene radical of N-cyanomethyl and phenyl ring are all in one plane . so the bonds are delocalized and the α-hydrogen atoms of N-cyanomethyl are activated. The syntheses and crysta

关键词： CRYSTAL AND MOLECULAR STRUCTURE OF N-CYANOMETHYL PH-THALIMIDE AND N-CYANOMETHYL SUCCIMIDE

A Mobile UHF RFID Reader with High Linearity Receiver

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A Mobile UHF RFID Reader with High Linearity Receiver