查询词典 adjoint differential expression

Objective To explore livin, MTA1 and the caspase3 protein expression, their correlation and clinical pathology in colon cancer Methods The expressions of livin, MTA1 and caspase3 protein in 88 cases of colon cancer were detected by immunohistochemistry stainingResults Livin, caspase3 protein and MTA1 positive expression rates in colon cancer tissues were more than those in tissues beside the cancer Furthermore there were obvious relevance between livin protein, MTA1 positive expression rate and degree of histodifferentiation and lymph node metabasis and between caspase3 protein positive expression rate and degree of histodifferentiation of colon cancer Caspase3 protein expression had prominent inverse correlation with the livin expressionConclusions ①Over expression of livin having inhibtion on colon cancer is one of important factors of colon carcinogenesis ②Caspase3 protein expression in colon cancer tissues is inhibited to less and has prominent inverse correlation with livin expression Accordingly, suppressing caspase3 protein activity is one of channels, by which livin promotes colon carcinogenesis ③MTA1 plays the important role in histodifferentiation degree and lymph node metastasis of colon cancer

采用免疫组织化学染色方法检测88例结肠癌组织中Livin，Caspase3 及MTA1的表达情况。结果（1）结肠癌组织中Livin的阳性表达率显著高于癌旁组织，且Livin的表达与结肠癌的组织分化程度及淋巴结转移程度显著相关。（2）结肠癌组织中Caspase3蛋白的阳性表达率显著高于癌旁组织，且Caspase3蛋白的表达与结肠癌的组织分化程度显著相关。（3）结肠癌组织中MTA1的阳性表达率显著高于癌旁组织，且MTA1的表达与结肠癌的组织分化程度及淋巴结转移程度显著相关。（4）Caspase3蛋白的表达又与Livin的表达呈显著负相关。结论（1）Livin在结肠癌组织中过表达，它可能是促进结肠癌发生的重要因素之一。（2）Caspase3蛋白在结肠癌组织中表达被抑制而降低，且与Livin的表达呈负相关。因此，抑制Caspase3蛋白的活性是Livin促进结肠癌发生的途径之一。（3）MTA1对结肠癌的组织分化及淋巴转移发挥重要作用。

The Frechet derivative of the cost function is determined via the solution of an adjoint partial differential equation, and the boundary shape is then modified in a direction of descent. This process is repeated until an optimum solution is approached. The advantage is that the cost function variation is independent of the flow field variation, with the result that the gradient of cost function with respect to arbitrary number of design variables can be determined without the need for additional flow-field evaluations. So each design cycle requires the numerical solution of both the flow and the adjoint equations leading to a computational cost roughly equal to the cost of two flow solutions.

虽然他们的研究成果大多数都可以在公开性文献上看到，但是其中一些具体的细节问题的处理方法却没有透露，比如：伴随方程如何离散求解才能减小最终梯度计算中的误差，使得设计过程有效地进行；伴随方程与流动方程的边界条件是不同的，如何合理地处理伴随方程的边界条件，才能推动设计过程朝着设计目标而发展；在减阻问题中目标函数如何定义，求解梯度的具体数学公式如何推导，如何通过数值方法来实现它们等。

First of all,we have given some of the basic concepts of differential equations, described the constant coefficient linear ordinary differential equation solution, for a class of second-order variable coefficient linear ordinary differential equation initial value problem, an approximate solution, the method is first unknown function of a definition for N sub-interval, and then in between each district within a constant coefficient ordinary differential equations similar to the replacement, the solution has been the problem as similar to the original analytical solution, and then gives a detailed second-order change order coefficient of linear homogeneous ordinary differential equation solution examples, the examples of the approximate method proposed in this paper is valid.

首先给出了微分方程的一些基本概念，讲述了常系数线性常微分方程的解法，针对一类二阶变系数线性常微分方程初值问题，提出了一个近似解法，本方法是先对未知函数的一个定义区间作N等分，然后在每一个小区间内用一个常系数常微分方程近似替换，所得到的解作为原问题的近似解析解，随后详细给出了一个求二阶变系数齐次线性常微分方程的解的实例，该实例说明本文提出的近似方法是有效的。

In order to obtain more general solution of second order linear differential equation with constant coefficients, which is important in theory and practice, on the basis of knowing a special of the second order linear differential equation with constant coefficients and by using the method of variation of constant, the second order linear differential equation with constant coefficients is transferred to the reduced differential equation and a general formula of the second order linear differential equation with constant coefficients is derived.

为了更多地得到理论上和应用上占有重要地位的二阶常系数线性非齐次微分方程的通解，这里使用常数变易法，在先求得二阶常系数线性齐次微分方程一个特解的情况下，将二阶常系数线性非齐次微分方程转化为可降阶的微分方程，从而给出了一种运算量较小的二阶常系数线性非齐次微分方程通解的一般公式，并且将通解公式进行了推广，实例证明该方法是可行的。

Content: By learning this course, students should grasp the elementary solution of first order differential equation, the structure theory of linear differential equation or system of linear differential equations and the solution of constant coefficient differential equation or system of constant coefficient differential equations.

主要内容：通过对本课程学习，使学生掌握一阶微分方程的初等解法、线性微分方程的结构理论和常系数方程的解法，对微分方程初值问题的一些基础理论有一定的了解，对

Limited slip differential is improved according to common differential. Not having the common differentials disadvantage of dividing the torque into two equal parts, limited slip differential can give most torque or even all torque to another driving wheel which is not revolving in order to make use of the friction of this driving wheel to produce enough traction. This will greatly increase the dynamical capability, the passing capability, the stability and the safety of automobiles on different friction roads. So limited slip differential is substitute for common differential.

防滑差速器是对普通差速器的革新与改进，它克服了普通差速器只能平均分配扭矩的缺点，可以使大部分甚至全部扭矩传给另外一个不滑转的驱动轮，以充分利用这一驱动轮的附着力而产生足够的牵引力，大大提高了汽车在双附着系数路面上的动力性和通过性，显著改善了汽车操纵稳定性，有效地提高了汽车行驶安全性，是普通差速器的理想替代产品。

In this paper, the adjointness of the product of two differential operators generated by a third order normal and singular symmetric differential expression in the limit-circle case is discussed. The necessary and sufficient conditions which make the product operators being the adjoint operators obtained by the matrix analysis and calculation. At the same time, the adjointness of the product of the power and adjointness operator obtained.

本文首先讨论了正则和奇异两种情况下两个极限圆型三阶对称微分算式生成的微分算子的乘积的自共轭性，运用矩阵分析和计算，得到了乘积算子为自共轭算子时边界应满足的充分必要条件，同时得到了幂算子的自共轭性、自共轭算子乘积的自共轭性等乘积算子的其它若干性质。

In Chapter 3, we discuss the self-adjoint boundary-value problems for products of m differential operators generated by the same symmetric differential expression of order n defined on a, b

第三章 讨论了m个由同一n阶对称微分算式生成的赋予某种边界条件的微分算子乘积自伴边值问题，结合常微分算子自伴扩张的一般构造理论，分别给出了两个四阶微分算子、两个n阶微分算子、m个n阶微分算子乘积自伴边条件的解析刻划，得到了乘积微分算子是自伴的充分必要条件及与乘积算子自伴性有关的一些有益结果。

Known differential expression gene: In the 46 points of known differential expression gene, there were down - regulate gene expression 41 points and up- regulate gene expression 5 points; twenty - eight genes related to hypoxia/reoxygenation had not been reported and 18 genes had been reported.

已知差异表达基因：在46个已知差异表达基因中，表达下调的基因有41个，表达上调的基因有5个，未见报道的与缺氧/复氧处理相关基因23个，已报道的有18个。

Results］ the expression of cox-2 in hepatocellular carcinoma and its adjacent tissues with cirrhosis were 70.0% and 92.0% respectively, and they were higher than that in normal liver tissue (20.0%). the cox-2 expression in carcinoma adjacent tissues with cirrhosis was higher than that in hcc. expression of cox-2 in well differential hcc was higher than that in poor differential hcc, and higher in case with metastasis than that without metastasis(p＜0.01).the expression of cox-2 in hcc did not relate to tumor size, tumor capsula and the level of afp.

结果］ cox-2蛋白在hcc、癌旁肝硬化中表达阳性率分别为70.0%和92.0%，显著高于在正常肝组织中的20.0%（p＜0.05），而cox-2在癌旁肝硬化组织中的表达高于hcc组织。cox-2蛋白在分化好hcc中的表达显著高于分化差的hcc（p＜0.05），转移组中cox-2蛋白表达显著高于无转移组（p＜0.01）；而cox-2蛋白的表达与肿瘤大小、有无包膜及afp水平无关。

There are different types of personal loans available.

有许多不同类型的个人贷款优惠。

The above mentioned teaching model of spiral rising can be used to avoid rigidness in teaching.

上述螺旋式上升的教学模式，可以避免教学形成模式後的僵化现象。