This paper presents a closed expression of the layered-plate factor used to calculate the coil eddy-current impedance over the multi-layer plate conductor. By using this expression, the general series of eddy-current ...This paper presents a closed expression of the layered-plate factor used to calculate the coil eddy-current impedance over the multi-layer plate conductor. By using this expression, the general series of eddy-current impedance can be written directly without solving the undetermined constant equations. The series expression is easy to use for theoretical analysis and programming. Experimental results show that calculated values and measured values are in agreement. As an application, when the bottom layer of the layered plate is a non-ferromagnetic thin layer conductor and the product of the thickness and conductivity of the layer remains unchanged, using the layered-plate factor expression proposed in this paper, it can be theoretically predicted that the eddy-current impedance curves corresponding to different thin layer thickness values will coincide.展开更多
In this paper, we shall give an Abel type theorem of Jacobi series and then based on it discuss asymptotic expressions near the ellipse of convergence of Jacobi series in complex plane.
Objective:Hepatocellular carcinoma(HCC)is a severely lethal cancer that usually originates from chronic liver injury and inflammation.Although progress on diagnosis and treatment is obvious,the cause of HCC remains un...Objective:Hepatocellular carcinoma(HCC)is a severely lethal cancer that usually originates from chronic liver injury and inflammation.Although progress on diagnosis and treatment is obvious,the cause of HCC remains unclear.In this study,we sought to determine key genes in HCC development.Methods:To identify key regulators during HCC progression,we performed transcriptome sequencing to obtain time series gene expression data from a mouse model with diethylnitrosamine-induced liver tumors and further verified gene expression and function in vitro and in vivo.Results:Among the differentially expressed genes,Cyp2c29 was continuously downregulated during HCC progression.Overexpression of Cyp2c29 suppressed N F-kB activation and proinflammatory cytokine production by increasing the production o f 14,15-epoxyeicosatrienoic acid in vitro.Furthermore,overexpression of Cyp2c29 in vivo protected against liver inflammation in mouse models of liver injury induced by both acetaminophen and CC14.Two human homologs of mouse Cyp2c29,CYP2C8 and CYP2C9,were found to be downregulated in human HCC progression,and their expression was positively correlated with overall survival in patients with HCC(significance:P=0.046 and 0.0097,respectively).Conclusions:Collectively,through systematic analysis and verification,we determined that C yp2c29 is a novel gene involved in liver injury and inflammation,which may be a potential biomarker for HCC prevention and prognosis determination.展开更多
The multiple solutions for one-dimensional cubic nonlinear problem u'+u^3=0,u(0)=u(π)=0are computed,on the basis of the eigenpairs of-φ'_k=λ_(kφk),k=1,2,3....There exist two nonzero solutions±u_k corr...The multiple solutions for one-dimensional cubic nonlinear problem u'+u^3=0,u(0)=u(π)=0are computed,on the basis of the eigenpairs of-φ'_k=λ_(kφk),k=1,2,3....There exist two nonzero solutions±u_k corresponding to each k,and their Morse index MI(k) for 1(?)k(?)20 is to be exactly determined.It isshown by the numerical results that MI(k)(?)k.展开更多
In this paper, we construct a class of nowhere differentiable continuous functions by means of the Cantor series expression of real numbers. The constructed functions include some known nondifferentiable functions, su...In this paper, we construct a class of nowhere differentiable continuous functions by means of the Cantor series expression of real numbers. The constructed functions include some known nondifferentiable functions, such as Bush type functions. These functions are fractal functions since their graphs are in general fractal sets. Under certain conditions, we investigate the fractal dimensions of the graphs of these functions, compute the precise values of Box and Packing dimensions, and evaluate the Hausdorff dimension. Meanwhile, the Holder continuity of such functions is also discussed.展开更多
基金supported by the National Natural Science Foundation of China(Grant No.51577004)
文摘This paper presents a closed expression of the layered-plate factor used to calculate the coil eddy-current impedance over the multi-layer plate conductor. By using this expression, the general series of eddy-current impedance can be written directly without solving the undetermined constant equations. The series expression is easy to use for theoretical analysis and programming. Experimental results show that calculated values and measured values are in agreement. As an application, when the bottom layer of the layered plate is a non-ferromagnetic thin layer conductor and the product of the thickness and conductivity of the layer remains unchanged, using the layered-plate factor expression proposed in this paper, it can be theoretically predicted that the eddy-current impedance curves corresponding to different thin layer thickness values will coincide.
文摘In this paper, we shall give an Abel type theorem of Jacobi series and then based on it discuss asymptotic expressions near the ellipse of convergence of Jacobi series in complex plane.
基金grants from The National Key Research and Development Program of China(Grant No.2017YFA0700403)National Natural Science Foundation of China(Grant Nos.81573013,31822030,and 31771458)National Basic Research Program of China(Grant No.2018YFA0208903).
文摘Objective:Hepatocellular carcinoma(HCC)is a severely lethal cancer that usually originates from chronic liver injury and inflammation.Although progress on diagnosis and treatment is obvious,the cause of HCC remains unclear.In this study,we sought to determine key genes in HCC development.Methods:To identify key regulators during HCC progression,we performed transcriptome sequencing to obtain time series gene expression data from a mouse model with diethylnitrosamine-induced liver tumors and further verified gene expression and function in vitro and in vivo.Results:Among the differentially expressed genes,Cyp2c29 was continuously downregulated during HCC progression.Overexpression of Cyp2c29 suppressed N F-kB activation and proinflammatory cytokine production by increasing the production o f 14,15-epoxyeicosatrienoic acid in vitro.Furthermore,overexpression of Cyp2c29 in vivo protected against liver inflammation in mouse models of liver injury induced by both acetaminophen and CC14.Two human homologs of mouse Cyp2c29,CYP2C8 and CYP2C9,were found to be downregulated in human HCC progression,and their expression was positively correlated with overall survival in patients with HCC(significance:P=0.046 and 0.0097,respectively).Conclusions:Collectively,through systematic analysis and verification,we determined that C yp2c29 is a novel gene involved in liver injury and inflammation,which may be a potential biomarker for HCC prevention and prognosis determination.
基金Supported by The Special Funds of State Major Basic Research Projects (No.G1999032804)National Natural Science Foundation of China (No.19331021)Mathematical Tianyuan Youth Foundation of National Natural Science Foundation of China (No.10226016)
文摘The multiple solutions for one-dimensional cubic nonlinear problem u'+u^3=0,u(0)=u(π)=0are computed,on the basis of the eigenpairs of-φ'_k=λ_(kφk),k=1,2,3....There exist two nonzero solutions±u_k corresponding to each k,and their Morse index MI(k) for 1(?)k(?)20 is to be exactly determined.It isshown by the numerical results that MI(k)(?)k.
基金the Natural Science Foundation of Education Committee of Anhui Province (No.2001kj198zc).
文摘In this paper, we construct a class of nowhere differentiable continuous functions by means of the Cantor series expression of real numbers. The constructed functions include some known nondifferentiable functions, such as Bush type functions. These functions are fractal functions since their graphs are in general fractal sets. Under certain conditions, we investigate the fractal dimensions of the graphs of these functions, compute the precise values of Box and Packing dimensions, and evaluate the Hausdorff dimension. Meanwhile, the Holder continuity of such functions is also discussed.
