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Regularity of harmonic maps with the potential

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Science China Mathematics 2006年第5期49卷 599-610页

作者： CHU Yuming & LIU Xiangao Department of Mathematics, huzhou Teachers College, huzhou 313000, China Institute of Mathematics, Fudan University, Shanghai 200433, China Department of Mathematics Huzhou Teachers College Huzhou China Institute of Mathematics Fudan University Shanghai China

The aim of this work is to prove the partial regularity of the harmonic maps with potential. The main difficulty caused by the potential is how to find the equation satisfied by the scaling function. Under the assumption on the potential we can obtain the equation, however, for a general potential, even if it is smooth, the partial regularity is still open.

关键词： harmonic map, partial regularity, potential.

Peroxisome proliferator-activated receptor-γ 34C>G polymorphism and colorectal cancer risk: A meta-analysis

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World Journal of Gastroenterology 2010年第17期16卷 2170-2175页

作者： Yong-Liang Lu,Department of Surgery,huzhou Teachers College School of Medicine,huzhou 313000,Zhejiang Province,China Gai-Ling Li,SIP Healo & Halo Life Science Research Center,Suzhou 215000,Jiangsu Province,China Hui-Lian Huang,Jing Zhong,Li-Cheng Dai,huzhou Key Laboratory of Molecular Medicine,huzhou Central Hospital,huzhou 313000,Zhejiang Province,China Department of Surgery Huzhou Teachers College School of Medicine Huzhou 313000 Zhejiang Province China.

AIM: To investigate the association between peroxisome proliferator-activated receptor-γ (PPAR-γ ) gene polymorphism 34 C>G and colorectal cancer (CRC),a meta-analysis review was performed in this ***: A systematic literature search and selection of eligible relevant studies were carried *** independent studies with a total number of 4533 cases and 6483 controls were included in the meta-analysis on the association between polymorphism 34 C>G and ***: There was no evidence for the association between PPAR-γ 34 C>G and CRC if all of the subjects in the nine studies were ***,CG + GG showed a marginally significant difference from CC (OR = 0.84,95% CI: 0.69-1.01,P = 0.07) in random-effect *** meta-analysis indicated that PPAR-γ 34 C>G was associated with colon cancer (OR = 0.8,95% CI: 0.65-0.99,P = 0.04) in random-effect model,and the G allele decreased colon cancer *** significant association was observed between PPAR-γ 34 C>G and rectal ***: PPAR-γ 34 C>G is associated with colon cancer risk,but not associated with CRC and rectal cancer risk.

关键词： Peroxisome proliferator-activated receptor-γ Colorectal cancer Polymorphism Meta-analysis

On quasi-convex mappings of order α in the unit ball of a complex Banach space

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Science China Mathematics 2006年第11期49卷 1451-1457页

作者： LIU Taishun & XU Qinghua Department of Mathematics, huzhou Teachers College, huzhou, 313000, China Department of Mathematics, Jiangxi Normal University, Nanchang, 330022, China Department of Mathematics Huzhou Teachers College Huzhou China Department of Mathematics Jiangxi Normal University Nanchang China

In this paper, a class of biholomorphic mappings named quasi-convex mapping of order a in the unit ball of a complex Banach space is introduced. When the Banach space is confined to Cn, we obtain the relation between this class of mappings and the convex mappings. Furthermore, the growth and covering theorems of this class of mappings are given on the unit ball of a complex Banach space X. Finally, we get the second order terms coefficient estimations of the homogeneous expansion of quasi-convex mapping of order a defined on the polydisc in Cn and on the unit ball in a complex Banach space, respectively.

关键词： coefficient estimation the homogeneous expansion quasi-convex mapping quasi-convex mapping of order a.

THE　EXPONENTIAL　BOUND　OF　THE　SURVIVAL　FUNCTION　ESTIMAATOR　FOR　RANDOMLY　TRUNCATED　AND　CENSORED　DATA

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Systems Science and Mathematical Sciences 1996年第2期9卷 175-181页

作者： ZHU Yujie(huzhou Teacher’s Collage, huzhou 313000, China)

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ＴＨＥＥＸＰＯＮＥＮＴＩＡＬＢＯＵＮＤＯＦＴＨＥＳＵＲＶＩＶＡＬＦＵＮＣＴＩＯＮＥＳＴＩＭＡＡＴＯＲＦＯＲＲＡＮＤＯＭＬＹＴＲＵＮＣＡＴＥＤＡＮＤＣＥＮＳＯＲＥＤＤＡＴＡＺＨＵＹｕｊｉｅ（ＨｕｚｈｏｕＴｅａｃｈｅｒ＇ｓＣｏｌｌａｇｅ，Ｈｕｚｈｏｕ３１...

关键词： Exponential bound product-limit estimator left truncation right censorship.

THE SCHUR HARMONIC CONVEXITY FOR A CLASS OF SYMMETRIC FUNCTIONS

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Acta Mathematica Scientia 2010年第5期30卷 1501-1506页

作者：褚玉明孙天川 Department of Mathematics Huzhou Teachers College

In this article, we prove that the symmetric function Fn（x,r）=∑i1＋i2＋……in=r（x1（i1x2^i2……xn^in）1/r is Schur harmonic convex for x ∈ R＋n and r ∈N -=（1, 2, 3,...} As its applications, some analytic inequa... 详细信息

关键词： symmetric function Schur convex Schur harmonic convex

Antisense oligonucleotide targeting p53 increased apoptosis of MCF-7 cells induced by ionizing radiation

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Acta Pharmacologica Sinica 2006年第11期27卷 1453-1458页

作者： Li-cheng DAI~2 Xiang WANG Xing YAO Li-shan MIN Fu-chu QIAN Jian-fang HE huzhou Key Laboratory of Molecular Medicine,huzhou Central Hospital,huzhou 313000,China huzhou Key Laboratory of Molecular Medicine Huzhou Central Hospital Huzhou China

Aim:To investigate the effect of antisense compounds(AS)targeting human p53mRNA on radiosensitivity of MCF-7 ***:Western blotting and RT-PCR were used to analyze the protein content and mRNA ***,cellproliferation,cell cycle and cell apoptosis were all analyzed in irradiated or sham-irradiated ***:Among the five antisense compounds(AS),AS3 wasidentified to efficiently inhibit p53 mRNA level and protein ***,AS3 transfer has little effect on cell proliferation in DU-145 cells(mutant p53)afterionizing radiation(IR).In contrast,a marked increase of cell apoptosis and growthinhibition were observed in MCF-7 cells(wild-type p53),suggesting that AS3 canincrease radiosensitivity of MCF-7 ***,it was also observed thatthe transfection of AS3 decreased the fraction of G1phase cells,and increased theproportion of S phase cells compared to untreated cells 24 h after IR in MCF-7 ***:AS3 transfection increases MCF-7 cell apoptosis induced by5 Gy-radiation,and this mechanism may be closely associated with abrogation ofG1phase arrest.

关键词： antisense oligodeoxyribonucleotides MCF-7 p53 genes radiation tolerance cell cycle

The Interior Layer Problem for the Strongly Nonlinear Singularly Perturbed System

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Chinese Quarterly Journal of Mathematics 2004年第4期19卷 436-440页

作者： HAN Xiang-lin(Department of Mathematics, huzhou Teacher’s College, huzhou 313000, China) Department of Mathematics Huzhou Teacher's CollegeHuzhou 313000 China

The nonlinear strongly singularly perturbed systemεyi" = fi(t, y,y’), a < t < b, i = 1, 2, …, n, yi(a,ε)-pily’i(a,ε) = Ai, yi(b,ε)+pi2y’i(b,ε) = Biare considered. Under suitable conditions, using the theory o... 详细信息

关键词： strongly nonlinear system singular perturbation problem interior layer asymptotic behavior

Optimal variational principle for backward stochastic control systems associated with Lévy processes

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Science China Mathematics 2012年第4期55卷 745-761页

作者： TANG MaoNing 1 & ZHANG Qi 2,1 Department of Mathematical Sciences,huzhou University,huzhou 313000,China 2 School of Mathematical Sciences,Fudan University,Shanghai 200433,China Department of Mathematical Sciences Huzhou University Huzhou China School of Mathematical Sciences Fudan University Shanghai China

The paper is concerned with optimal control of backward stochastic differentiM equation （BSDE） driven by Teugel＇s martingales and an independent multi-dimensional Brownian motion, where Teugel＇s martingales are a family of pairwise strongly orthonormal martingales associated with L6vy processes （see e.g., Nualart and Schoutens＇ paper in 2000）. We derive the necessary and sufficient conditions for the existence of the optimal control by means of convex variation methods and duality techniques. As an application, the optimal control problem of linear backward stochastic differential equation with a quadratic cost criteria （or backward linear-quadratic problem, or BLQ problem for short） is discussed and characterized by a stochastic Hamilton system.

关键词： stochastic control stochastic maximum principle Ldvy processes Teugel's martingales backwardstochastic differential equations

QUASILINEAR-ADDITIVE PROPERTIES AND APPLICATIONS

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Acta Mathematica Scientia 2010年第3期30卷 726-732页

作者：张孝惠王根娣褚玉明 Department of Mathematics Huzhou Teachers College

In this article, the authors study some basic properties of the so-called quasilinear- additive functions, and some applications to the special functions of quasiconformal analysis are specified.

关键词： Quasilinear-additive generalized Grotzsch function quasiconformal