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Spectrum of a class of fourth order left-definite differential operators

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Applied Mathematics(A Journal of Chinese Universities) 2008年第1期23卷 51-56页

作者： gao Yun-lan SUN Jiong Dept. of Math. Inner Mongolia Univ. of Tech. Hohhot 010051 China. Dept. of Math. Inner Mongolia Univ. Hohhot 010021 China.

The spectrum of a class of fourth order left-definite differential operators is studied. By using the theory of indefinite differential operators in Krein space and the relationship between left-definite and right-definite operators, the following conclusions are obtained： if a fourth order differential operator with a self-adjoint boundary condition that is left-definite and right-indefinite, then all its eigenvalues are real, and there exist countably infinitely many positive and negative eigenvalues which are unbounded from below and above, have no finite cluster point and can be indexed to satisfy the inequality …≤λ-2≤λ-1≤λ-0〈0〈λ0≤λ1≤λ2≤…

关键词： left-definite differential operator right-definite differential operator Krein space spectrum,eigenvalue.

Super-biderivations and Post-Lie Superalgebras on Some Lie Superalgebras

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Acta Mathematica Sinica,English Series 2023年第9期39卷 1736-1754页

作者： Munayim Dilxat Shou lan gao Dong Liu College of Mathematics and System Sciences Xinjiang UniversityUrumqi830046P.R.China Department of Mathematics Huzhou UniversityHuzhou313000P.R.China

In this paper,all symmetric super-biderivations of some Lie superalgebras are *** an application,commutative post-Lie super algebra structures on these Lie super algebras are also obtained.

关键词： Lie superalgebra super-biderivation post-Lie superalgebra

Wind disturbance compensated path-following control for fixed-wing UAVs in arbitrarily strong winds

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Chinese Journal of Aeronautics 2024年第2期37卷 431-445页

作者： Hao LU lan gao Yunda YAN Mingzhe HOU Chenliang WANG Hangzhou Innovation Institute Beihang UniversityHangzhou 310051China School of Information Science and Technology Hangzhou Normal UniversityHangzhou 311121China Department of Computer Science University College LondonLondon WC1E 6BTUnited Kingdom Center for Control Theory and Guidance Technology Harbin Institute of TechnologyHarbin 150001China School of Automation Science and Electrical Engineering Beihang UniversityBeijing 100191China

Wind is the primary challenge for low-speed fixed-wing unmanned aerial vehicles to follow a predefined flight *** cope with various wind conditions,this paper proposes a wind disturbance compensated path following control strategy where the wind disturbance estimate is incorporated with the nominal guiding vector field to provide the desired airspeed direction for the *** the control input vector for the outer-loop kinematic subsystem needs to satisfy a magnitude constraint,a scaling mechanism is introduced to tune the proportions of the compensation and nominal ***,an optimization problem is formulated to pursue a maximum wind compensation in strong winds,which can be solved analytically to yield two scaling factors.A cascaded inner-loop tracking controller is also designed to fulfill the outer-loop wind disturbance compensated guiding vector ***-fidelity simulation results under sensor noises and realistic winds demonstrate that the proposed path following algorithm is less sensitive to sensor noises,achieves promising accuracy in normal winds,and mitigates the deviation from a desired path in wild winds.

关键词： Path following Guiding vector field Wind disturbance Disturbance rejection Fixed wings

Synthesis,Structure and Luminescence of Zn_(4.5)Cu_3 Heteronuclear Coordination Polymer Comprising Macrocyclic Oxamide and 5-Sulfosalicylic Ion

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Chemical Research in Chinese Universities 2010年第4期26卷 501-504页

作者： SUN Ya-qiu WANG Jing FAN lan-lan gao Dong-zhao Tianjin Key Laboratory of Structure and Performance for Functional Molecule College of Chemistry and Life Science Tianjin Normal University Tianjin 300387 P. R. China

The complex [Zn4.5（SSA）3（CuL）3（H2O）6]n was synthesized and structurally determined, where SSA is fully deprotonated 5-sulfosalicylic acid（CuL, H2L=2,3-dioxo-5,6,14,15-dibenzo-1,4,8,12-tetraazacyclo-pentadeca- 7,13-dien）. The title complex crystallized in the triclinic system with space group P1^-, a=1.19788（17） nm, b=1.4253（2） nm, c=2.2890（4） nm, α=90.211（2）°, ,β=93.076（2）°, γ=90.600（2）°. The complex displayed a 1D ladderlike chain. All these 1D chains were further interlinked via hydrogen bonds, resulting in a 2D architecture. The luminescent property of the compound was also discussed.

关键词： Heteronuclear complex Macrocyclic oxamide Luminescence

Left-definite boundary conditions of Sturm-Liouville problems when the interval shrinks to a point

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Applied Mathematics(A Journal of Chinese Universities) 2011年第1期26卷 29-37页

作者： gao Yun-lan WANG Zhong WU Hong-you Department of Mathematics Inner Mongolia University of Technology Huhhot 010051 China Department of Mathematics ZhaoQing University Zhaoqing 526061 China Department of Mathematics Northern Illinois University DeKalb IL60115 USA

On the condition that the interval of the problem shrinks to a point, we investigated the separated boundary conditions Sα,β of left-definite Sturm-Liouville problem, and answered the following question： Is there a co ∈ J such that Sα,β is always left-definite or semi-left-definite for the Sturm-Liouville equation for each c ∈ （a, co）？

关键词： Left-definite Sturm-Liouville problem semi-left-definite Sturm-Liouville problem separatedboundary condition.

Chinese Medicine Regulates DNA Methylation to Treat Haematological Malignancies:A New Paradigm of"State-Target Medicine"

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Chinese Journal of Integrative Medicine 2022年第6期28卷 560-566页

作者： SHEN Feng-lin ZHAO Yan-na YU Xiao-ling WANG Bo-lin WU Xiao-long lan gao-chen gao Rui-lan Institute of Hematology Research The First Affiliated Hospital of Zhejiang Chinese Medical UniversityHangzhou310006China

Aberrant regulation of DNA methylation plays a crucial causative role in haematological malignancies(HMs).Targeted therapy,aiming for DNA methylation,is an effective mainstay of modem medicine;however,many issues remain to be *** progress of epigenetic studies and the proposed theory of"state-target medicine"have provided conditions to form a new treatment paradigm that combines the"body state adjustment"of CM with targeted *** discussed the correlation between Chinese medicine(CM)syndromes/states and DNA methylation in this ***,the latest research findings on the intervention and regulation of DNA methylation in HMs,including the core targets,therapy status,CM compounds and active components of the Chinese materia medica were concisely summarized to establish a theoretical foundation of"state-target synchronous conditioning"pattern of integrative medicine for HMs,simultaneously leading a new perspective in clinical diagnosis and therapy.

关键词： haematological malignancies DNA methylation Chinese medicine state-target medicine

Small Interfering RNA Targeting MDR1 Inhibits Ovarian Cancer Growth and Increases Efficacy of Chemotherapy in vivo

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Chinese Journal of Cancer Research 2009年第4期21卷 318-324页

作者： Fu-jun LIU Guo-lan gao Kai-jia Tu Li-qun Yu Jun gao Department of Obstetrics and Gynecology the First Affiliated Hospital Nanchang University Nanchang 330006 China Department of Obstetrics and Gynecology the Second Affiliated Hospital Nanchang University Nanchang 330006 China.

Objective： To further validate a knockdown approach for circumventing the multidrug resistance gene （MDR1）, we used small interfering RNA（siRNA） targeting MDR1 gene to inhibit the expression of MDR1 gene and P-glycoprotein（P-gp） in vivo. Methods： Ascite tumor xenografts were established by implanting human ovarian carcinoma cells SKOV3/AR intraperitoneally into the nude mice. The mice were randomized into the following three treatment groups with each group six mice respectively： Taxol, Taxol with lipofectamine and Taxol with siRNA/MDR1- lipofectamine intraperitoneal injection. The tumor growth rate and the ascite growth rate of mice were investigated. The expressions of MDR1 gene and P-gp in mice were determined by reverse transcription-polymerase chain reaction（RT-PCR） and immunohistochemistry respctively. Results： The growth of tumors and ascites in mice treated with Taxol and siRNA/MDR1- lipofectamine was significantly inhibited compared with those in mice of other groups. After 28 days＇ treatment, the average tumor weight and ascite volume decreased by 43.6% and 29.7% in the group treated with Taxol and siRNA/MDRl-lipofectamine compared with these treated with Taxol alone （P〈0.001）. The expressions of MDR1 gene and P-gp in the group treated with Taxol and siRNA/MDRl-lipofectamine were also decreased compared with those in the group treated with Taxol alone （P〈0.001）. Conclusion： Small interfering RNA targeting-MDR1 can effectively and specifically suppress the expression of MDRl（P-glycoprotein） and inhibit ovarian cancer growth in vivo.

关键词： RNA interference siRNA MDR1 gene Ovarian cancer Nude mice

Tris(2,2'-bipyridyl)ruthenium(Ⅱ) electrochemiluminescence (ECL) enhanced by rutin on platinum electrode

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Chinese Chemical Letters 2007年第5期18卷 561-564页

作者： Da Xu Zhong lan gao Na Li Ke An Li Key Laboratory of Bioorganic Chemistry and Molecular Engineering of Ministry of Education College of Chemistry and Molecular Engineering Peking University Beijing 100871 China

Ru（bpy）3^2＋ electrochemiluminescence （ECL） was applied to determination of rutin. ECL intensity of Ru（bpy）3^2＋ could be enhanced in the presence of rufin in basic solution on platinum electrode. At pH 9.9, lig... 详细信息

关键词： Ru(bpy)3^2+ Electrochemiluminescence Rutin Platinum electrode

Effects of Bufalin on Up-regulating Methylation of Wilm's Tumor 1 Gene in Human Erythroid Leukemic Cells

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Chinese Journal of Integrative Medicine 2017年第4期23卷 288-294页

作者： WANG Li-pei ZHAO Yan-na SUN Xin gao Rui-lan College of Basic Medical Sciences Zhejiang Chinese Medical University Institution of Oncology Zhejiang Provincial People's Hospital

Objective To explore the effects of bufalin on inhibiting proliferation, up-regulating methylation of Wilm’ tumor 1 gene (WT1) as well as its possible mechanisms in human erythroid leukemic (HEL) cells. Methods The HEL cells were treated with bufalin at various concentrations to observe cellular morphology, proliferation assay and cell cycle. The mRNA and protein expression levels of WT1 were detected by reverse transcription polymerase chain reaction (RT-PCR), Western blot and immunocytochemistry, DNA methylation of WT1 and protein expression levels of DNA methyltransferase 3a (DNMT3a) and DNMT3b were analyzed by methylation-specific PCR, and Western blot respectively. Results The bufalin was effective to inhibit proliferation of HEL cells in a dose-dependent manner, their suppression rates were from 23.4%±2.1% to 87.2%±5.4% with an half maximal inhibit concentration (IC50) of 0.046 μmol/L. Typical apoptosis morphology was observed in bufalin-treated HEL cells. The proliferation index of cell cycle decreased from 76.4%±1.9% to 49.7%±1.3%. The expression levels of WT1 mRNA and its protein reduced gradually with increasing doses of bufalin, meanwhile, the methylation status of WT1 gene changed from unmethylated into partially or totally methylated. While, the expression levels of DNMT3a and DNMT3b protein gradually increased by bufalin treatment in a dose-dependent manner. Conclusions Bufalin can not only significantly inhibit the proliferation of HEL cells and arrest cell cycle at G0/G1 phase, but also induce cellular apoptosis and down-regulate the expression level of WT1. Our results provide the evidence of bufalin for anti-leukemia, its mechanism may involve in increasing WT1 methylation status which is related to the up-regulation of DNMT3a and DNMT3b proteins in erythroid leukemic HEL cells.

关键词： bufalin human erythroid leukemic cells Wilm’s tumor 1 gene methylation DNA methyltransferase 3a DNA methyltransferase 3b