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Three-dimensional Holographic Vector of Atomic Interaction Field(3D-HoVAIF) for the QSPR/QSAR of Polychlorinated Naphthalenes 被引量:1
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作者 李正华 陈刚 +3 位作者 陈志涛 夏之宁 程凡圣 陈华 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2012年第3期345-352,共8页
Three-dimensional holographic vector of atomic interaction field(3D-HoVAIF) is used to describe the chemical structures of polychlorinated naphthalenes(PCNs).After variable screening by stepwise multiple regressio... Three-dimensional holographic vector of atomic interaction field(3D-HoVAIF) is used to describe the chemical structures of polychlorinated naphthalenes(PCNs).After variable screening by stepwise multiple regression(SMR) technique,the liner relationships between gas-chromatographic relative retention time(RRT),298 K supercooled liquid pressures(logPL),n-octanol/air partition coefficient(logKOA),n-octanol/water partition coefficient(logKOW),aqueous solubilities(logSW),relative in vitro potency values(-logEROD) of PCNs and 3D-HoVAIF descriptors have been established by partial least-square(PLS) regression.The result shows that the 3D-HoVAIF descriptors can be well used to express the quantitative structure-property(activity) relationships of PCNs.Predictive capability of the models has also been demonstrated by leave-one-out cross-validation.Moreover,the predicted values have been presented for those PCNs which are lack of experimentally physico-chemical properties and biological activity by the optimum models. 展开更多
关键词 polychlorinated naphthalenes three-dimensional holographic vector of atomic interaction field QSPR QSAR
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Quantitative Structure Activity Relationship Studies of Benzoxazinone Derivative Antithrombotic Drug Using New Three-dimensional Structure Descriptors
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作者 仝建波 李云飞 +1 位作者 刘淑玲 孟元亮 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2010年第12期1893-1899,共7页
A novel three-dimensional holographic vector of atomic interaction field(3D-HoVAIF) was used to describe the chemical structures of 23 benzoxazinone derivatives as antithrombotic drugs.Here a quantitative structure ... A novel three-dimensional holographic vector of atomic interaction field(3D-HoVAIF) was used to describe the chemical structures of 23 benzoxazinone derivatives as antithrombotic drugs.Here a quantitative structure activity relationship(QSAR) model was built by partial least-squares(PLS) regression.The estimation stability and prediction ability of the model were strictly analyzed by both internal and external validations.The correlation coefficients of established PLS model,leave-one-out(LOO) cross-validation,and predicted values versus experimental ones of external samples were R2=0.899,RCV2=0.854 and Qext2=0.868,respectively.These values indicated that the built PLS model had both favorable estimation stability and good prediction capabilities.Furthermore,the satisfactory results showed that 3D-HoVAIF could preferably express the information related to the biological activity of benzoxazinone derivatives. 展开更多
关键词 benzoxazinone derivatives antithrombotic drug three-dimensional holographic vector of atomic interaction field(3D-HoVAIF) quantitative structure-activity relationship(QSAR)
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首次积分在三维幂零向量场规范形化简中的应用
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作者 李静 袁星 张丽娜 《北京工业大学学报》 EI CAS CSCD 北大核心 2012年第11期1745-1748,共4页
为了研究三维幂零向量场的超规范形(最简规范形、唯一规范形),运用常微分方程与动力系统的规范形理论,利用新次数函数及线性部分的首次积分相结合,获得该系统的一阶规范形;在满足一阶规范形中二次项系数不为零的条件下得到系统的二阶规... 为了研究三维幂零向量场的超规范形(最简规范形、唯一规范形),运用常微分方程与动力系统的规范形理论,利用新次数函数及线性部分的首次积分相结合,获得该系统的一阶规范形;在满足一阶规范形中二次项系数不为零的条件下得到系统的二阶规范形,并证明了其唯一性. 展开更多
关键词 三维幂零向量场 唯一规范形 首次积分 新次数函数
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一类三维幂零向量场的5次超规范形
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作者 李静 张丽娜 李鑫 《北京工业大学学报》 CAS CSCD 北大核心 2013年第9期1429-1433,共5页
为了研究三维幂零向量场的超规范形(最简规范形、唯一规范形),利用新次数函数和多重李括号方法,通过引入分块矩阵的新记号,研究了一类具有对称性质的三维幂零向量场的5次超规范形问题;证明了在一定条件下,此类向量场的二阶规范形是超规... 为了研究三维幂零向量场的超规范形(最简规范形、唯一规范形),利用新次数函数和多重李括号方法,通过引入分块矩阵的新记号,研究了一类具有对称性质的三维幂零向量场的5次超规范形问题;证明了在一定条件下,此类向量场的二阶规范形是超规范形,并获得其二阶5次超规范形的唯一形式;还研究了此类向量场的退化情况,验证了与二维结论的一致性. 展开更多
关键词 三维幂零向量场 超规范形 新次数函数 多重李括号
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一类四维幂零向量场的超规范形及应用 被引量:1
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作者 寇力英 李静 +1 位作者 张伟 奚帅杰 《动力学与控制学报》 2019年第2期159-167,共9页
研究一类具有对称性质的四维幂零向量场的超规范形问题,并将其应用于具有实际工程背景的高维非线性动力学模型的简化.发展与完善由Sanders、Baider和KOW提出的规范形进一步简化的理论,利用线性次数函数、多重李括号与分块矩阵的新记号... 研究一类具有对称性质的四维幂零向量场的超规范形问题,并将其应用于具有实际工程背景的高维非线性动力学模型的简化.发展与完善由Sanders、Baider和KOW提出的规范形进一步简化的理论,利用线性次数函数、多重李括号与分块矩阵的新记号表示相结合的方法,分别获得四维幂零向量场3次、5次截断的超规范形的一般形式,并将超规范形理论应用于研究环型桁架卫星天线模型的化简问题.本文通过引入并完善大尺寸分块矩阵的新记号表示方法,获得一种处理大尺寸分块矩阵运算的新方法,简化繁琐的大尺寸矩阵的运算,为后续的研究带来便利条件. 展开更多
关键词 四维幂零向量场 超规范形 线性次数函数 多重李括号
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一般二步幂零群上Laplacian算子的基本解
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作者 王海蒙 谢非非 《高校应用数学学报(A辑)》 CSCD 北大核心 2013年第3期347-358,共12页
考虑(2n+p)维空间R^(2n)×R^p上的向量场X_j,j=1,…,2n.通过构造二步幂零Lie群,利用群上的Fourier变换的方法得到了△=1/2∑_(j=1)^(2n) X_j^2的基本解.首先由二步幂零群的Fourier变换理论得到了群上的Plancherel公式,逆公式以及△... 考虑(2n+p)维空间R^(2n)×R^p上的向量场X_j,j=1,…,2n.通过构造二步幂零Lie群,利用群上的Fourier变换的方法得到了△=1/2∑_(j=1)^(2n) X_j^2的基本解.首先由二步幂零群的Fourier变换理论得到了群上的Plancherel公式,逆公式以及△的表示,即△通过群上的Fourier变换转化为一个可逆的Hilbert-Schmidt算子,其次,通过群上的Plancherel公式得到的逆算子定义一个缓增分布,最后,利用Heimite函数和Laguerre函数的性质得到了基本解的积分表达式. 展开更多
关键词 向量场 幂零 群上的Fourier变换 基本解
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Three-dimensional magnetization reconstruction from electron optical phase images with physical constraints
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作者 Boyao Lyu Shihua Zhao +5 位作者 Yibo Zhang Weiwei Wang Fengshan Zheng Rafal E.Dunin-Borkowski Jiadong Zang Haifeng Du 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2024年第11期122-132,共11页
The ability to characterize three-dimensional(3D)magnetization distributions in nanoscale magnetic materials and devices is essential to fully understand their static and dynamic magnetic properties.Phase contrast tec... The ability to characterize three-dimensional(3D)magnetization distributions in nanoscale magnetic materials and devices is essential to fully understand their static and dynamic magnetic properties.Phase contrast techniques in the transmission electron microscope(TEM),such as electron holography and electron ptychography,can be used to record two-dimensional(2D)projections of the in-plane magnetic induction of 3D nanoscale objects.Although the 3D magnetic induction can in principle be reconstructed from one or more tilt series of such 2D projections,conventional tomographic reconstruction algorithms do not recover the 3D magnetization within a sample directly.Here,we use simulations to describe the basis of an improved model-based algorithm for the tomographic reconstruction of a 3D magnetization distribution from one or more tilt series of electron optical phase images recorded in the TEM.The algorithm allows a wide range of physical constraints,including a priori information about the sample geometry and magnetic parameters,to be specified.It also makes use of minimization of the micromagnetic energy in the loss function.We demonstrate the reconstruction of the 3D magnetization of a localized magnetic soliton—a hopfion ring—and discuss the influence of noise,choice of magnetic constants,maximum tilt angle and number of tilt axes on the result.The algorithm can in principle be adapted for other magnetic contrast imaging techniques in the TEM,as well as for other magnetic characterization techniques,such as those based on X-rays or neutrons. 展开更多
关键词 three-dimensional magnetization vector field tomography differentiable programming electron holography MICROMAGNETISM
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QSAR Studies on Influenza Neuraminidase Inhibitors——Acylthiourea Analogue
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作者 景举华 梁桂兆 +3 位作者 梅虎 张巧霞 李志良 吕凤林 《Chinese Journal of Structural Chemistry》 SCIE CAS CSCD 2009年第2期200-204,共5页
The quantitative structure-activity relationship (QSAR) of 30 acylthiourea analogues was studied by using a three-dimensional holographic vector of atomic interaction field (3D-HoVAIF) to describe their chemical s... The quantitative structure-activity relationship (QSAR) of 30 acylthiourea analogues was studied by using a three-dimensional holographic vector of atomic interaction field (3D-HoVAIF) to describe their chemical structures. The descriptors obtained were screened by stepwise multiple regression (SMR) and a partial least-squares (PLS) regression model was built. The correlation coefficient r^2 of the established model and Leave-One-Out (LOO) Cross-Validation (CV) correlation coefficient q^2 are 0.624 and 0.409, respectively. The model has favorable stability and good prediction capability, and further QSAR analysis showed that hydrophobic interaction has the most important effect on the activity of acylthiourea analogue and 3D-HoVAIF was applicable to the molecular structural characterization and biologicalactivity prediction. 展开更多
关键词 ACYLTHIOUREA neuraminidase inhibitors three-dimensional holographic vector of atomic interaction field (3D-HoVAIF) quantitative structure-activity relationship (QSAR)
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一类具有对称性的幂零向量场的高阶规范形 被引量:1
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作者 张冬梅 《内江师范学院学报》 2011年第6期11-13,共3页
规范形是研究非线性向量场的动分岔问题强有力的工具,它包含了原系统在平衡点附近的所有动力学特性.对于一类具有γ对称的线性部分Jacobian矩阵为幂零矩阵的非线性向量场,在Ushiki规范形理论的基础上,利用无穷小形变的方法,得到了一维... 规范形是研究非线性向量场的动分岔问题强有力的工具,它包含了原系统在平衡点附近的所有动力学特性.对于一类具有γ对称的线性部分Jacobian矩阵为幂零矩阵的非线性向量场,在Ushiki规范形理论的基础上,利用无穷小形变的方法,得到了一维和二维的幂零向量场的具有γ对称的三阶、五阶规范形,并推导和证明了具有γ对称的且1-节退化的向量场的k阶规范形. 展开更多
关键词 规范形 无穷小形变 幂零向量场
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