SPM的数学基础及其在脑功能成像研究中的应用

探讨SPM的数学基础,给出了SPM中利用一般线性模型(General LinearModel,GLM)构建统计参数图的方法;为了适应处理功能磁共振成像(functionalMagnetic Resonance Imaging,fMR I)数据的需要,对一般线性模型做了扩展,推导出扩展的GLM的检验统计量和自由度.最后将扩展的一般线性模型应用于一个具体的fMR I实验,说明了方法的有效性.     

Computational fluid dynamics for dense gas-solid fluidized beds

Many computational fluid dynamics (CFD) models for describing the hydrodynamics of dense gas-solid flows in fluidized beds have been put forward in the past few decades. These models treat the solid phase as continuum or discrete particles, which leads to Eulerian-Eulerian or Eulerian-Lagrangian formulations, respectively. Different governing equations and closure relations essentially result from an insufficient understanding of the complex gas?particle and particle?particle interactions for gas?solid flows. The current status of these models is discussed briefly in this paper. All the approaches in the literature modify only the solid phase momentum balance equation introducing various forms of the solid phase stress tensor and the solid phase pressure drop in the Eulerian-Eulerian models. Taking them into consideration, a new model for predicting the fluid behavior of dense gas?solid flows in fluidized beds has been developed, which contains new terms in both the particle and gas phase momentum balance equations and requires only the use of an experimental drag force correlation. Several results are shown to verify the model’s reliability, which include the homogeneous fluidization of Geldart type A particles, the bubbling and jetting fluidization of Geldart type B particles in rectangular beds, and fluid dynamics in a complicated geometry for a bubbling?bed of a fast internally circulating fluidized?bed biomass gasifier.     

Dn-最优确切设计的改进单纯形构造法及其在焊接工艺中的应用

详细地研究了Dn 最优确切设计的数值构造法以及对称算法理论,对Evans的单纯形搜索来构造D 最优设计的方法进行了改进·应用改进的Fibonacci技巧来求新增设计点并引入负测度,采取双循环多点迭代的方法来构造多分量对数项混料模型的Dn 最优确切设计,提出了Dn 最优确切设计的改进单纯形构造法;并运用此新方法构造了多分量对数项混料模型的Dn 最优确切设计·将构造出的Dn 最优确切设计,应用在焊接工艺的配料比中,得到较好的预测与回归效果·从而有力地证明了该算法的有效性及Dn 最优确切设计的实际应用价值·     

实物期权方法在多项目预算决策中的应用

研究了实物期权方法在可推迟的多项目预算决策中的应用·通过二叉树方法描述了项目价值随时间变化的路径,进而构造出多项目资本预算决策的模型,并探讨了根据实际需要如何对模型的各种限制条件进行调整·与净现值法相比,实物期权方法考虑了项目的投资机会价值,能求得在资本预算限制下公司可以投资的具有内在期权价值的项目组合,因而可以对公司战略决策中高不确定性项目的投资决策提供支持·     

非线性随机效应模型的若干统计推断

该文利用非线性随机效应模型在欧氏空间的BW几何结构，求出了固定效应参数估计的渐近性质与随机展开式。利用随机展开式，求出固定效应参数的偏差和方差的曲率表示式。     

具有时间相依索赔的破产概率

研究一类风险过程的破产概率，其中一类索赔可产生另一类索赔且索赔时间可延迟．得到了破产概率的上下限，并给出了索赔为指数分布的情形下破产概率的解析表达式。     

水稻对硅、钾、钙、镁的吸收动力学研究

为了研究水稻对硅、钾、钙、镁的不同吸收效应，同时探索含钾硅酸盐矿物的肥料价值，本文采用了动力学研究方法．结果表明：水稻对硅、钾、钙、镁的吸收速率因肥料配比差异而不同；而施用多元复合物，水稻生长过程中对硅、钾、钙、镁的吸收速率明显增加；四个动力学方程对水稻吸收养分规律的拟合度都达到了极显著性或显著性水平；单从相关系数及其变异系数来看，四种养分的拟合情况均以Freybdkucg方程为最好．     

黄蜀葵在化妆品中的应用——黄蜀葵去痘美容液

根据黄蜀葵的药用特性,设计了一系列以黄蜀葵为主,其它相关药材为辅的去痘美容液配方,主治粉刺、消炎、去脓包。通过近50人试用评价,现已确定了疗效较佳的几种配方,并对其理化、防晒、保湿性能做了测试,得到了较满意的结果。     

轮胎纵向力的神经网络模型

将人工神经网络方法用于轮胎纵向力特性的建模，建立了以滑移(转)率为变量，以垂直载荷为参变量的轮胎纵向力神经网络模型。对轮胎实测数据与神经网络模型预测结果的对比表明，轮胎神经网络模型的精度能满足工程要求，BP前馈神经网络可有效地应用于车辆轮胎纵向力特性的数学建模，且建模过程简单，模型计算较快，预测精度较高。     

Synthesis and Characterization of Porphyrin-Trisbenzimidazole Dinucleating Ligand and Its Heterodinuclear Complex as CcO Active Site Model

A new dinucleating ligand having two metal-binding sites has been designed and synthesized as model ligand for Cytochrome c Oxidase. The corresponding heterodi-nuclear complex, as an active site model of Cytochrome c Oxidase, consisting of a porphyrinatocobalt compound covalently linked with a copper derivative of tris(2-benzimidazylmethyl) amine bearing three benzimidazole ligands for copper was synthesized and spectroscopically characterized. The spectra data suggest that there are interactions between the cobalt and copper coordination units. The cobalt is coordinated to four central nitrogens of the porphyrin and the copper has pentaco-ordinate geometry with the four tertiary amine nitrogens and a chloride.