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Rational Points of Elliptic Curve y2 = x3＋ k3

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Algebra Colloquium 2018年第1期25卷 133-138页

作者： Xia Wu yan qin School of Mathematics Southeast University Nanjing 210096 China Nanjing University Business School Nanjing 210093 China

Let E be an elliptic curve defined over the field of rational numbers ~. Let d be a square-free integer and let Ed be the quadratic twist of E determined by d. Mai, Murty and Ono have proved that there are infinitely many square-free integers d such that the rank of Ed（Q） is zero. Let E（k） denote the elliptic curve y2 = x3 ＋ k. Then the quadratic twist E（1）d of E（1） by d is the elliptic curve E（d3）： y2 = x3＋ k3. Let r = 1, 2, 5, 10, 13, 14, 17, 22. Ono proved that there are infinitely many square-free integers d = r （rood 24） such that rankE（-d3）（Q） = 0, using the theory of modular forms. In this paper, we use the class number of quadratic field and Pell equation to describe these square-free integers k such that E（k3）（Q） has rank zero.

关键词： elliptic curve rational point class number Pell equation

A Novel 3D Supramolecular Network Constructed from [Cu(4,4'-bipyridine)(O_2CMe)_2]_2 Molecular Ladders by Hydrogen Bonding

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Chinese Journal of Structural Chemistry 2006年第11期25卷 1365-1368页

作者： yanG E WANG Xiao-qin qin Ye-yan College of Chemistry ＆ Materials Science Fujian Normal University Fuzhou 350007 China Fujian Institute of Research on the Structure of Matter The Chinese Academy of Sciences Fuzhou 350002 China

The title complex, {[Cu2（4,4＇-bipyridine）2（μ-O2CMe）2（O2CMe）2],H2O}n 1, was synthesized and structurally characterized by X-ray crystallography. It crystallizes in monoclinic, space group C2/c with a = 13.4474（5）, b = 11.7566（2）, c = 19.5380（6）A, β = 92.930（2）°, V = 3084.84（16） A^3, Z = 4, Cu2C28N409H30, Mr = 693.64, Dc = 1.494 g/cm^3, F（000） = 1424 and μ（MoKα） = 1.436 mm^-1. With the use of 2062 observed reflections （I 〉 2σ（I））, the structure was refined to R = 0.0769 and wR = 0.2154. In complex 1, the dimeric copper acetate units are linked through 4,4’-bipyridine to yield ID molecular ladders. These ladders are connected via O-H…O hydrogen bonds to generate 2D layers, which are further linked through C-H…O hydrogen bonds to give a 3D supramolecular network.

关键词： molecular ladder dimeric copper acetate 3D supramolecular network

The development of graphene-based devices for cell biology research

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Frontiers of Materials Science 2014年第2期8卷 107-122页

作者： Zhi-qin yan Wei ZHANG School of Mechanical Jinzhong University Yuci Jinzhong 030600 China CAS Key Laboratory for Biomedical Effects of Nanomaterials and Nanosafety National Center for Nanoscience and Technology 11 Beiyitiao 7hongguancun Beijing 100190 China

Graphene has emerged as a new carbon nanoform with great potential in many applications due to its exceptional physical and chemical properties. Especially, graphene and its derivatives are also gaining a lot of interest in the biomedical field as new components for biosensors, tissue engineering, and drug delivery. This review presents unique properties of graphene, the bio-effects of graphene and its derivatives, especially their interactions with cells and the development of graphene-based biosensors and nanomedicines for cancer diagnosis and treatment.

关键词： graphene graphene oxide (GO) cell sensor cancer

Overexpression pattern,function,and clinical value of proteasome 26S subunit non-ATPase 6 in hepatocellular carcinoma

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World Journal of Clinical Oncology 2025年第2期16卷 76-93页

作者： Sheng-Sheng Zhou Yu-Ping Ye Yi Chen Da-Tong Zeng Guang-Cai Zheng Rong-Quan He Bang-Teng Chi Lei Wang Qian Lin qin-yan Su Yi-Wu Dang Gang Chen Jia-Liang Wei Department of Medical Oncology The First Affiliated Hospital of Guangxi Medical UniversityNanning 530021Guangxi Zhuang Autonomous RegionChina Department of Clinical Laboratory The First Affiliated Hospital of Guangxi Medical UniversityNanning 530021Guangxi Zhuang Autonomous RegionChina Department of Pathology The First Affiliated Hospital of Guangxi Medical UniversityNanning 530021Guangxi Zhuang Autonomous RegionChina Department of Pathology Redcross Hospital of Yulin CityYulin 537000Guangxi Zhuang Autonomous RegionChina Department of Surgery Redcross Hospital of Yulin CityYulin 537000Guangxi Zhuang Autonomous RegionChina

BACKGROUND In recent years,many studies have shown that proteasome 26S subunit non-ATPase 6(PSMD6)plays an important role in the occurrence and development of malignant ***,there are no reports on the evaluation of the potential role of PSMD6 in hepatocellular carcinoma(HCC).AIM To comprehensively evaluate the overexpression pattern and clinical significance of PSMD6 in HCC *** This study integrated PSMD6 mRNA expression profiles from 4672 HCC and 3667 non-HCC tissues,along with immunohistochemical scores from 383 HCC and adjacent tissues,to assess PSMD6 overexpression in *** regularly interspaced short palindromic repeats knockout technology evaluated PSMD6’s essential role in HCC cell *** enrichment analysis explored the molecular mechanism of PSMD6 abnormalities in *** sensitivity analysis and molecular docking analysed the effect of abnormal expression of PSMD6 on the drug sensitivity of HCC *** The results of 41 external and two internal datasets showed that PSMD6 mRNA(SMD=0.26,95%CI:0.09-0.42,P<0.05)and protein(SMD=2.85,95%CI:1.19-4.50,P<0.05)were significantly overexpressed in HCC *** integrated analysis results showed that PSMD6 had a significant overexpression pattern in HCC tissues(SMD=0.40,95%CI:0.15-0.66,P<0.05).PSMD6 knockout inhibited HCC cell growth(chronos scores<-1).Functional enrichment implicated ribosome biogenesis and RNA *** enrichment of signalling pathways such as RNA degradation,ribosomes,and chemical carcinogenesis—reactive oxygen *** sensitivity analysis and a molecular docking model showed that high expression of PSMD6 was associated with the tolerance of HCC cells to drugs such as ML323,sepantronium bromide,and *** PSMD6 effectively distinguished HCC tissues(AUC=0.75,95%CI:0.71-0.79).CONCLUSION This study was the first to discover that PSMD6 was overexpressed in HCC ***6 is essential for the growth of HCC cell

关键词： Hepatocellular carcinoma Proteasome 26S subunit non-ATPase 6 Clustered regularly interspaced short palindromic repeats Ribosome biogenesis RNA splicing

Primal-dual Interior-point Algorithms for Second-order Cone Optimization Based on a New Parametric Kernel Function

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Acta Mathematica Sinica,English Series 2007年第11期23卷 2027-2042页

作者： yan qin BAI Guo Qiang WANG Department of Mathematics College of Sciences Shanghai University Shanghai 200444 P. R. China College of Vocational Technology Shanghai University of Engineering Science Shanghai 200437 P. R. China

A class of polynomial primal-dual interior-point algorithms for second-order cone optimization based on a new parametric kernel function, with parameters p and q, is presented. Its growth term is between linear and quadratic. Some new tools for the analysis of the algorithms are proposed. The complexity bounds of O（√Nlog N log N/ε） for large-update methods and O（√Nlog N/ε） for smallupdate methods match the best known complexity bounds obtained for these methods. Numerical tests demonstrate the behavior of the algorithms for different results of the parameters p and q.

关键词： second-order cone optimization linear optimization interior-point methods large- and small-update methods polynomial-time complexity

Effect of small peptide(P-15) on HJMSCs adhesion to hydroxyap-atite

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Science China(Physics,Mechanics & Astronomy) 2016年第2期59卷 102-107,109-112页

作者： Wei Cheng Xin Tong qin Gang Hu Yong Bin Mou Hai yan qin Nanjing Stomatological Hospital Medical School of Nanjing University Central Laboratory of Stomatology Nanjing Stomatological Hospital

P-15, a synthetic peptide of 15-amino acids, has been tested in clinical trials to enhance cell adhesion and promote osseointe-gration. This feature of P-15 has also inspired the development of designing new bone substitute materials. Despite the increasing applications of P-15 in bone graft alternatives, few studies focus on the mechanism of cell adhesion promoted by P-15 and the mechanical property changes of the cells interacting with P-15. In this article, we used atomic force microscope(AFM) based single cell indentation force spectroscopy to study the impact of P-15 on the stiffness and the adhesion ability of human jaw bone mesenchymal stem cells(HJMSCs) to hydroxyapatite(HA). We found that the stiffness of HJMSCs increases as the concentration of P-15 grows in short culture intervals and that the adhesion forces between HJMSCs and HA particles in both the presence and absence of P-15 are all around 30 p N. Moreover, by calculating the binding energy of HJMSCs to HA particles mixed with and without P-15, we proved that P-15 could increase the adhesion energy by nearly four times. Scanning electron microscope(SEM) was also exploited to study the morphology of HJMSCs cultured in the presence and absence of P-15 on HA disc surface for a short term. Apparent morphological differences were observed between the cells cultured with and without P-15. These results explain the probable underlying adhesion mechanism of HJMSC promoted by P-15 and can serve as the bases for the design of bone graft substitute materials.

关键词： atomic force microscopy (AFM) cell stiffness force spectroscopy

A Kind of Unified Strict Efficiency via Improvement Sets in Vector Optimization

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Journal of the Operations Research Society of China 2018年第4期6卷 557-569页

作者： Hui Guo yan-qin Bai Department of Mathematics Chongqing Normal UniversityChongqing 401331China College of Sciences Shanghai UniversityShanghai 200444China

In this paper,we propose a kind of unified strict efficiency named E-strict efficiency via improvement sets for vector *** kind of efficiency is shown to be an extension of the classical strict efficiency andε-strict efficiency and has many desirable *** also discuss some relationships with other properly efficiency based on improvement sets and establish the corresponding scalarization theorems by a base-functional and a nonlinear ***,some examples are given to illustrate the main conclusions.

关键词： E-strict efficiency Improvement sets Linear scalarization Nonlinear scalarization Vector optimization

Exact Solutions of a Generalized Multi-Fractional Nonlinear Diffusion Equation in Radical Symmetry

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Communications in Theoretical Physics 2009年第11期52卷 857-861页

作者： LIU yan-qin MA Jun-Hai School of Management Tianjin University Tianjin 300072 China Department of Mathematics Dezhou University Dezhou 253023 China

This paper is devoted to investigating exact solutions of a generalized fractional nonlinear anomalousdiffusion equation in radical *** presence of external force and absorption is also *** firstinvestigate the nonlinear anomalous diffusion equations with one-fractional derivative and then multi-fractional *** situations,we obtain the corresponding exact solutions,and the solutions found here can have a compact behavioror a long tailed behavior.

关键词： fractional derivative multi-fractional diffusion equation anomalous diffusion equation

A New Kernel Function Yielding the Best Known Iteration Bounds for Primal-Dual Interior-Point Algorithms

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Acta Mathematica Sinica,English Series 2009年第12期25卷 2169-2178页

作者： yan qin BAI Jin LiGUO Cornelis ROOS Department of Mathematics Shanghai University Shanghai 200436 P. R. China Business School University of Shanghai for Science and Technology Shanghai 200093 P. R. China Faculty of Electrical Engineering Mathematics and Computer Science Delft University of Technology P.O. Box 5031 2600 GA Delft The Netherlands

Kernel functions play an important role in defining new search directions for primal-dual interior-point algorithm for solving linear optimization problems. In this paper we present a new kernel function which yields ... 详细信息

关键词： linear optimization interior-point method primal-dual method large-update method polynomial complexity