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COMPARISON　THEOREMS　TO　BOUNDARY　VALUE　PROBLEMS　FOR　ORDINARY　DIFFERENTIAL　EQUATIONS

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Chinese Annals of Mathematics,Series B 1994年第2期15卷 165-172页

作者： LI YONG WANG HUAIZHONG(department of Matehematics,jilin university, changchun 130023, jilin, china) jilin UNIV DEPT MATHCHANGCHUN 130023PEOPLES R CHINA

A unified approach is given to several classes of nonlinear boundary value problems, and some previous existence theorems are extended.

关键词： Boundary value problem Existence theorem Brouwer degree,Schauder's fixed point theorem.

CHAOS FOR MIXING TRANSFORMATIONS

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Chinese Annals of Mathematics,Series B 1994年第4期15卷 501-506页

作者： LIAO GONGFU (department of Mathematics,jilin university, changchun 130023, china.) jilin UNIV DEPT MATH CHANGCHUN 130023 PEOPLES R CHINA

For a class of mixing transformations of a compact metric space it is proved that each chaoticsubset is'small' but the possibility for any finite subset to display chaotic behavior is 'large'.

关键词： Compact metric space Chaotic subset Mixing transformation Topological mixing map.

A hybrid method for inverse cavity scattering problem for shape

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Applied Mathematics(A Journal of Chinese Universities) 2010年第2期25卷 127-136页

作者： LIU Juan MA Fu-ming school of Mathematics, jilin university, changchun 130012, china. school of Mathematics Jilin University Changchun China

In this paper, we give a hybrid method to numerically solve the inverse open cavity scattering problem for cavity shape, given the scattered solution on the opening of the cavity. This method is a hybrid between an iterative method and an integral equations method for solving the Cauchy problem. The idea of this hybrid method is simple, the operation is easy, and the computation cost is small. Numerical experiments show the feasibility of this method, even for cases with noise.

关键词： Open cavity Cauchy problem Helmholtz equation integral equations system method iterativehybrid method.

Estrogen influences the differentiation, maturation and function of dendritic cells in rats with experimental autoimmune encephalomyelitis

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Acta Pharmacologica Sinica 2004年第4期25卷 110-115页

作者： Qing-hong ZHANG2, Yu-zhen HU, Jun CAO3, Yan-qing ZHONG,Yu-feng ZHAO, Qi-bing MEI4 department of physiology, department ofOrthodontics, 3 4department of Pharmacology, The Fourth Military medical university, Xi’an 710032, china department of physiology The Fourth Military Medical University Xi'an 710032 China

AIM: To examine if estrogen can affect the immune response at the dendritic cells (DCs) level in rats with experi- mental autoimmune encephalomyelitis (EAE). METHODS: Lewis rats were immunized with inoculum containing MBP68-86. DCs were derived from spleen monocytes of EAE rats with IL-4 and GM-CSF in presence of 17β- estradiol (E2). Nitric oxide (NO) was detected by Griess reagent. The surface markers and cytokines production of DCs were shown by flow cytometry. DCs were cocultured with MBP-specific T cells, [3H]-TdR incoportation was used to reveal the antigen presentability, the supernatant of the coculture were collected to examine the cytokines secretion by ELISA. RESULTS: E2 activated DCs by accelerating the maturation process characterized by upregulation of MHC II and costimulating molecule B7-1, B7-2, drastic high expression of CD40. IFN-γ–produc- ing DCs were also elevated without any alteration of IL-10. Estradiol-treated DCs (E2-DCs) secreted more NO in the culture supernatant. By contrast, E2-DCs showed decreased antigen presentation ability with reduced secretion of IFN-γ but no alteration of IL-10 in the coculture with T cells. CONCLUSION: Estrogen can affect the differentiation, maturation and function of DCs from EAE rats, which may be attributed to its protection against EAE and the remission of multiple sclerosis patients in pregnancy.

关键词： multiple sclerosis experimental autoimmune encephalomyelitis dendritic cells estrogens nitric oxide

A scheme for the RCP pattern of the nano-structure

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Communications in Nonlinear Science and Numerical Simulation 2001年第4期6卷 201-204页

作者： Guangwu YAN, Hongxue QU and Bing YAN department of Mathematics, jilin university, changchun 130012, china Institute of Atomic and Molecular Physics, jilin university. changchun 130023, china department of Mathematics Juin University Changchun 130012 China Inst. of Atom. and Molecular Physics Jilin University Changchun 130023 China

A new scheme for the Random-Continuous-Pile (RCP) pattern is proposed to simulate a two-dimensional structure The RCP pattern is plotted.

关键词： RCP pattern. Maxwell distribution balls-filling

Continuous Solutions of the First Boundary Value Problems for Nonlinear Diffusion Equations

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Acta Mathematica Sinica,English Series 1994年第1期10卷 64-71页

作者： Yin Jingxue department of Mathematics jilin university changchun,130023 china 1. department of Mathematics Jilin University 130023 Changchun China

We establish the existence of continuous solutions of the first boundary value prob- lem for nonlinar diffusion equations of the form θu/ t=div(α（u）|▽u|m-1▽u)+ （u）▽u, under the conditions that A（s）=integral from n=o to s(a1/m（σ）dσis strictly increasing and m>n-1,where n is the space ***,the uniqueness is proved for solutions with some regularities.

关键词： Math lim

The restricted EM algorithm under linear inequalities in a linear model with missing data

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Science china Mathematics 2005年第6期48卷 819-828页

作者： ZHENG Shurong, SHI Ningzhong & GUO Jianhua school of Mathematics and Statistics, Northeast Normal university, changchun 130024, china Institute of Mathematics, jilin university, changchun 130012, china 1. school of Mathematics and Statistics Northeast Normal University 130024 Changchun China 2. Institute of Mathematics Jilin University 130012 Changchun China

This paper discusses the maximum likelihood estimate of β under linear inequalities A0β≥ a in a linear model with missing data, proposes the restricted EM algo rithm and proves the convergence.

关键词： EM algorithm, linear model, maximum likelihood estimate, missing data.

Genetic polymorphism and mRNA levels of cytochrome P450ⅡE1 and glutathione S-transferase P1 in patients with alcoholic liver disease in different nationalities

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Hepatobiliary & Pancreatic Diseases International 2009年第2期8卷 162-167页

作者： Ying Liu,Xiang-Wei Meng,Ling-Yun Zhou,Pei-Yi Zhang,Xun Sun and Ping Zhang department of Gastroenterology,First Affiliated Hospital,jilin university,changchun 130021,china department of Gastroenterology,Heilongjiang Province Hospital,Harbin 150036,china department of medical Molecular Biology,Harbin medical university,Harbin 150086,china department of Gastroenterology First Affiliated Hospital Jilin University Changchun 130021 China.

BACKGROUND:Alcohol abuse and dependence are major factors in the pathogenesis of alcoholic liver disease(ALD).Alcohol abuse is becoming an increasingly severe problem among the Han,Mongol,and Korean nationalities in northeast *** study aimed to investigate the relationship between ALD and the genetic polymorphism and expression levels of two enzymes,cytochrome P450ⅡE1(CYPⅡE1)and glutathione S-transferase P1(GSTP1)in patients of three ***:Peripheral blood was collected from 353 Chinese patients with ALD,300 alcohol dependent patients without liver disease(alcoholic),and 360 healthy *** group included patients from the Han,Mongol and Korean ***-time polymerase chain reaction(PCR)and PCR-restriction fragment length polymorphism(PCR-RFLP)were ***:Regardless of nationality,patients who carried the rare CYPⅡE1 C2 and GSTP1 Val alleles were at higher risk of *** frequency of C2 and Val in patients with ALD was respectively 50.00%and 26.98%in the Han,31.36%and 22.87%in the Mongol,and 45.87%and 22.02% in the Korean *** significant differences were seen in the frequency of either C2 or Val alleles in ALD patients among the three *** each nationality,the frequency of both C2 and Val alleles was significantly higher in ALD compared to alcoholic and healthy *** for nationality,the average mRNA levels of CYPⅡ E1 in ALD patients and healthy controls were 10.05%and 2.21%,*** average mRNA levels of GSTP1 in ALD patients and healthy controls were 0.53%and 2.12%,*** mRNA level of CYPⅡE1 was higher,and that of GSTP1 was lower in patients with ALD compared to the ***:Except for nationality,patients with ALD in this series tended to have a higher mRNA expression of CYPⅡE1 and to carry the C2 allele,and tended to have a lower mRNA expression of GSTP1 and to carry the Val *** is a causal relationship between the polymorphic alleles,which lea

关键词： alcoholic liver disease alcoholic genetic polymorphism mRNA expression

Sonographic differentiation of diffuse liver cancer from portal cirrhosis

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Hepatobiliary & Pancreatic Diseases International 2002年第4期1卷 536-538页

作者： Song-Qing Yang Ying Sun the department of Ultrasound, First Hospital, jilin university, changchun 130021, china department of Ultrasound First Hospital Jilin University Changchun 130021 China. yanglili@***

Objective: To differentiate diffuse liver cancer from portal cirrhosis by using ultrasonography. Methods: We analyzed the sonographic images of 15 patients with diffuse liver cancer and 30 patients with portal cirrhosis. Results: The patients with diffuse liver cancer showed enlarged liver and obvious echo of nodules. The rate of portal embolism and swelling of lymph nodes a- round the porta hepatis was high. The patients with portal cirrhosis showed diminished liver and the obvi- ous echo of fiber proliferation. The rates of spleen enlargement and ascites as well as gallbladder edema were high. Conclusions: To identify sonographic characteristics inside and outside of the liver. It is helpful in diffe- rentiating diffuse liver cancer from portal cirrhosis. The sonographic characteristics inside the liver in- clude surface and size, node echo, echo of fibrous tissue hyperplasia. They are difficult to identify when diffuse liver cancer merges with considerable cirrho- sis. The acoustic image characteristics of the two di- seases overlap. Hence attention should be paid to the size of the liver, proliferation of cells of diffuse liver carcinoma. In sonographic characteristics outside the liver, embolism of the portal vein and swelling of lymph nodes in the porta hepatis are particularly use- ful to identify diffuse liver cancer or diffuse liver cancer combined with liver cirrhosis in particular.

关键词： diffuse liver cancer portal cirrhosis diagnosis ultrasound portal vein embolism swelling of lymph nodes