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AN EQUIVALENCY CONDITION OF NONSINGULARITY IN NONLINEAR SEMIDEFINITE PROGRAMMING

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Journal of Systems Science & Complexity 2010年第4期23卷 822-829页

作者： Chengjin LI Wenyu SUN Raimundo J. B. de SAMPAIO School of Mathematical Sciences Nanjing Normal and Computer Science Fujian Normal University Wenyu SUN University Nanjing 210046 China School of Mathematics Fuzhou 350007 China School of Mathematical Sciences Nanjing Normal University Nanjing 210046 China Pontifical Catholic university of Parana ( PUCPR) Graduate Program in Production and Systems Engineering (PPGEPS) CEP 81611-970 Curitiba Parana Brazil

In this paper,an equivalency condition of nonsingularity in nonlinear semidefinite programming,which can be viewed as a generalization of the equivalency condition of nonsingularity for linearsemidefinite programming,... 详细信息

关键词： Equivalency condition of nonsingularity nonlinear semidefinite programming semidefinite programming.

Algebraic Independence of Certain Numbers

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Acta Mathematica Sinica,English Series 1999年第4期15卷 507-514页

作者： Yonggao Chen Department of Mathematics,nanjing normal university,nanjing 210097,P.R.ChinaYaochen Zhu Institute of Applied Mathematics,Academia Sinica,Beijing 100080,P.R.China Department of Mathematics Nanjing Normal University Nanjing P. R. China Institute of Applied Mathematics Academia Sinica Beijing P. R. China

In this note the algebraic independence of values of general Mahler series with different parameters at algebraic points is established.

关键词： Algebraic independence General Mahler series Continued fraction

Local Dissipativity and Attractors for the Evolutionary Superconductivity Problem

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Acta Mathematica Sinica,English Series 2001年第3期17卷 381-390页

作者： Hong Jun GAO Department of Mathematics,nanjing normal university,nanjing 210024,P.R.China E-mail:gaohj@hotmail.comJi Shan FAN Department of Alathernatics,Suzhou university,Suzhou 215006.P.R.China Department of Mathematics Nanjing Normal University Nanjing 210024 P. R. China

In this paper,under the Lorenz gauge,the global existence,local dissipativity and at- tractors of the evolutionary superconductivity problem which is a parabolic-hyperbolic system are obtained.

关键词： Superconductivity Attractor Ginzburg-Landau system

Distribution and role of calmodulin in tip growing hyphae of Saprolegnia ferax

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Cell Research 1995年第2期5卷 255-262页

作者： YUAN SHENG LING LU SHAOBAI XUE(Depariment of Biology, nanjing normal university, nanjing 210097, China)(Dceartment of Biology, Beijing normal university, Beijing 100875, China) Department of Biology Beijing Normal University Beiring 100875 China

Since direct staining of growing hyphae with trifluoperazine (TFP) could result in the migration of protoplasm in hyphae of water mold Saprolegnia feraX, an improved staining method for fixation of growing hyphae was developed. When hyphae of Saprolegnia ferax were pre-fixed with paraformaldehyde, the TFP fluorescence showed a clear tip-high Ca(2+)-activated calmodulin (CaM) gradient. By indirect immunohistochemical staining, we proved that total CaM also mainly concentrated in the apex of *** is noticeble that when the hyphal tip growth ceased, the high intensity of TFP fluorescence usually disappeared in non-growing tips and became evident in the newly emerged growing tips, which implied that the concentration of CaM shifted in concord with the transfer of growing point in hyphae. 2×10(-5) mol/L CaM inhibitor TFP could reduce the tip growth rate and the percentage of growing hyphal tips to about 50%, and induce multibranching of hyphal tips. These findings strongly suggest that the high concentration of calmodulin in the hyphal tip may be involved in regulation of hyphal tip growth.

关键词： Calmodulin calcium tip growth trifluoperazine Saprolegnia ferax

ON NICE SEQUENCES CONCERNING HAMILTONICITY OF GRAPHS

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Systems Science and Mathematical Sciences 1993年第4期6卷 373-375页

作者： LIU Yiping WU Zhengsheng Department of Mathematics, nanjing normal university, nanjing 210024, China

In the paper, the （k-1）-traceable-nice （（k-1）-T-nice） and k-homogeneously-traceable-nice （k-HT-nice） sequence are defined similarly to the definition of k-Hamilton-nice （k-H-nice） and （k+1）-Hamilton-connected-nice （（k+1）-HC-nice） sequence. Therelationships among these four nice sequences are discussed. The main results are asfollows: Letη=(a1, a2,…, ak+1 be a non-negative rational sequence, k≥2. （1） If η is（k+1）-HC-nice and ak+1=2, then η is k-HT-nice, （2） If η is k-HT-nice and ak+1=2,then η is （k-1）-T-nice, （3） If η is k-H-nice, then η is k-HT-nice. Meanwhile, four unsolvedproblems on these topics are proposed.

关键词： k-H-nice sequence (k-1)-T-nice sequence k-HT-nice sequence (k+1)-HC-nice sequence

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双轴向列相液晶的表面能

物理学报 2002年第12期51卷 2786-2792页

作者：刘红南京师范大学物理系南京210097

利用双轴向列相液晶表面能对指向矢和序参量矩阵的旋转不变性 ,构造了与指向矢 ^a ,^b ,^c对易取向轴 ^a0 ,^b0 ,^c0 的偏离有关的表面能Fs(a ,b ,c) ,以及与序参量矩阵有关的表面能Fs(Q) ,并得到两种表达式的等价形式 .在Fs(a ,b ,c)和... 详细信息

利用双轴向列相液晶表面能对指向矢和序参量矩阵的旋转不变性 ,构造了与指向矢 ^a ,^b ,^c对易取向轴 ^a0 ,^b0 ,^c0 的偏离有关的表面能Fs(a ,b ,c) ,以及与序参量矩阵有关的表面能Fs(Q) ,并得到两种表达式的等价形式 .在Fs(a ,b ,c)和Fs(Q)中分别有四个和两个独立参量 .为讨论上述独立参量的物理意义 ,假设一液晶分子对表面相互作用的简单模型 ,将液晶分子沿易取向轴 ^b0 ,^c0 的双轴性取向看成是受到沿 ^b0 ,^c0 两相互垂直的平均场作用的结果 .为测量表面锚泊系数 ,考虑了三种简单形变位型 ,即在外磁场中 ^b和 ^c绕 ^a0 ,^c和 ^a绕 ^b0 ,^a和^b绕 ^c0 的Freedericksz相变 .通过测量其Freedericksz相变的磁场阈值 ,可求出表面能中与这三个形变有关的锚泊系数Wa,Wb,Wc.

关键词：双轴向列相液晶弹性能表面能

HAJOS' CONJECTURE AND CONNECTIVITY OF EULERIAN GRAPHS

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Journal of Systems Science & Complexity 2002年第3期15卷 295-298页

作者： XU Baogang (School of Mathematics and Computer Science, nanjing normal university, nanjing 210097, China) School of Mathematics and Computer Science Nanjing Normal University Nanjing 210097

Hajos' conjecture asserts that a simple eulerian graph on n vertices can be decomposed into at most n-1/2 circuits. In this paper, we propose a new conjecture which is equivalent to Hajos' conjecture, and show that to prove Hajos' conjecture, it is sufficient to prove this new conjecture for 3-connected graphs. Furthermore, a special 3-cut is considered also.

关键词： Circuit decomposition connectivity eulerian graph.

Molecular dynamics simulation study on zwitterionic structure to maintain the normal conformations of Glutathione

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Science China Chemistry 2007年第5期50卷 660-664页

作者： YAN Han1, ZHU HaoMiao2 & SHEN Jian1,2 1 Jiangsu Research Center of Surface and Interface Chemical Engineering and Technology, nanjing university, nanjing 210093, China 2 Jiangsu Engineering Research Center for Bio-medical function Materials, nanjing normal university, nanjing 210097, China Jiangsu Research Center of Surface and Interface Chemical Engineering andTechnology Nanjing UniversityNanjing 210093China Jiangsu Engineering Research Center forBio-medical function Materials Nanjing Normal UniversityNanjing 210097China

Molecular dynamics simulations were applied to normal conformational Glutathione (GSH) and GSH over zwitterionic and hydrophobic surfaces respectively. Conformational analysis of GSH during the simulation time on RMSD, conformational flexibility and dihedral distribution were performed. The re- sults showed that zwitterionic structure maintains the normal conformations of GSH to a better extent, which should be a first good proof of the hypothesis of "maintain of normal structure".

关键词： protein-surface interactions, molecular dynamics simulation, zwitterionic structure, Glutathione, conformational changes, antithrombotic material

Immobilization of acetylcholinesterase on one-dimensional gold nanoparticles for detection of organophosphorous insecticides

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Science China Chemistry 2010年第4期53卷 820-825页

作者： LI YanRong, GAN ZhiYong, LI YanFen, Liu Qian, BAO JianChun, DAI ZhiHui & HAN Min Jiangsu Key Laboratory of Biofunctional Materials College of Chemistry and Environmental Science, nanjing normal university, nanjing 210097, China 1. Jiangsu Key Laboratory of Biofunctional Materials Nanjing Normal University Nanjing 210097 China2. College of Chemistry and Environmental Science Nanjing Normal University Nanjing 210097 China

This paper reports a simple method for immobilization of acetylcholinesterase (AChE) on one-dimensional (1D) gold (Au) nanoparticles for detection of organophosphorous (OP) insecticides. 1D Au nanoparticles were prepared by electrodeposition in the pores of an alumina template which was subsequently removed by 2.0 M NaOH solution. They were characterized by XRD and FESEM. The immobilized AChE retained its biological activity and catalyzed the hydrolysis of acetylthiocholine to form thiocholine, which was subsequently oxidized to produce detectable signals. Based on the inhibition toward the enzymatic activity of AChE by OP insecticides, sensitive detection of methamidophos (an OP insecticide) was performed. Under optimal conditions, the sensors could be used for the determination of methamidophos ranging from 0.004 to 24 μg/mL with the detection limit of 0.001 μg/mL. The developed OP insecticide biosensors exhibited satisfactory stability and reproducibility. This work demonstrated that 1D Au nanoparticles could serve as an ideal carrier for immobilization of AChE to fabricate the corresponding biosensor.

关键词： acetylcholinesterase organophosphorous insecticides immobilization gold