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ON A CONSTRUCTION OF INERTIALMANIFOLDS FOR A CLASS OF SECOND ORDER IN TIME EVOLUTION EQUATIONS

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Chinese Annals of mathematics,Series B 1999年第3期20卷 271-278页

作者： wang ZONGXIN(institute of mathematics, fudan university, shanghai 200433, china.) institute of mathematics Fudan University Shanghai 200433 China

Inertial manifolds for a class of second order in time dissipative equations are *** author also proves an asymptotic completeness property for the inertial manifolds and characterizes the inertial manifolds as the set of trajectories whose growth is at most of order O(e-μt ) for some p > 0. As applications, a nonlinear wave equation and a problem of nonlinear oscillations of a shallow shell are considered.

关键词： Dynamical systems Inertial manifolds Nonlinear evolution equations

Averaging of Hamilton-Jacobi equation in infinite dimensions and application

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Chinese Science Bulletin 1998年第1期43卷 30-32页

作者： wang Shihong institute of mathematics, fudan university, shanghai 200433, china fudan university Institute of Mathematics Shanghai China

The averaging of Hamilton_Jacobi equation with fast variables in viscosity solution sense in infinite dimensions is studied. It is proved that viscosity solution of the original equation converges to viscosity solution of the averaged equation and this result is applied to study the limit problem of the value function for optimal control problem with fast variables.

关键词： infinite dimensions averaging of HJB equation viscosity solution optimal control problem value function.

FORMATION OF SINGULARITIES FOR A KIND OF QUASILINEAR NON-STRICTLY HYPERBOLIC SYSTEM

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Chinese Annals of mathematics,Series B 2002年第4期23卷 439-454页

作者： wang LIBINinstitute of mathematics, fudan university, shanghai 200433, china. institute of mathematics Fudan University Shanghai 200433 China

The author gets a blow-up result of C1 solution to the Cauchy problem for a first order quasilinear non-strictly hyperbolic system in one space dimension.

关键词： Formation of singularity Quasilinear non-strictly hyperbolic system Weak linear degeneracy

A categorical interpretation of Yetter-Drinfel'd modules

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Chinese Science Bulletin 1999年第9期44卷 771-778页

作者： KAN Haibin and wang Shuanhonginstitute of mathematics , fudan university , shanghai 200433 , china Department of mathematics , Henan Normal university, Xinxiang 453002, china institute of mathematics Fudan Univrrsity Shanghai China Dcpartment of mathematics Henun Normal University Xinxiang China

It is known that any strict tensor category （C, I） can determine a strict braided tensor category Z （ C）, the centre of C. When A is a finite Hopf algebra, Drinfel’d has proved that Z（AM） is equivalent to D（A）M as a braided tensor category, where AM is the left A-module category, and D （A） is the Drinfel’d double of A. This is the categorical interpretation of D （A）.Z（4M） is proved to be equivalent to the Yetter-Drinfel’ d module category AY D4 as a braided tensor category for any Hopf algebra A. Furthermore, for right A-comodule category MA , Z（MA） is proved to be equivalent to the Yetter-Drinfel’ d module category AY D4 as a braided tensor category. But, in the two cases, the Yetter-Drinfel’ d module category AY DA has different braided tensor structures.

关键词： Yetter-Drinfel’d module tensor category equivalence.

Local Existence of the Shock Front Solution to the Axi-symmetrical Piston Problem in Compressible Flow

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Acta Mathematicae Applicatae Sinica 2004年第4期 589-604页

作者： Ze Jun wang institute of mathematics,fudan university,shanghai 200433,P.R.china

In this paper,we study a kind of 2-dimensional axi-symmetrical piston problem in com-pressible *** corresponding mathematical model is the well-known Euler *** theNewton iteration procedure and energy estimate,we give... 详细信息

关键词： Piston problem Euler system Shock front solution Newton iteration Energy estimate

Preparation and characterization of some surface negatively charged residue mutants of cytochrome b_5

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Chinese Science Bulletin 2001年第7期46卷 555-559页

作者： wang Yunhua, wang Wenhu, LU Junxia, REN Yi, GU Shaohua, XIE Yi & HUANG Zhongxian1. Chemical Biology Lab, Department of Chemistry, fudan university, shanghai 200433, china 2. Genetic institute, School of Life, fudan university, shanghai 200433, china Chemical Biology Lab Department of Chemistry Fudan University Shanghai China Genetic institute School of Life Fudan University Shanghai China

Site-directed mutagenesis was used to obtain seven variants of tryptic fragment of bovine liver cytochrome bs (cyt bs), in which the negatively charged residues around the heme exposed edge of cyt bs were replaced by hydropho-bic amino acid alanine. Double-site mutants, triple-site mutants and even quadruple-site mutants were obtained. DNA sequencing and molecular weight measurements of the mutant proteins both confirmed that these site-directed muta-genesises were successfully performed. Spectroelectrochem-istry of these mutant proteins revealed that the apparent redox potentials of these mutant proteins caused a positive shift of 2-10 mV. The global structure of these mutant proteins did not show much difference from that of the wild type cyt bs, providing a solid base for the further study on the roles of the proteins’ surface charges.

关键词： cytochrome bs site-directed mutagenesis negative charge on the protein surface redox potential.

Involvement of GABA and opioid peptide receptors in sevoflurane-induced antinociception in rat spinal cord

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Acta Pharmacologica Sinica 2005年第9期26卷 1045-1048页

作者： Ying-wei wang~1 Xiao-ming DENG~2 Xin-min YOU~1 Shu-xiao LIU~2 Zhi-qi ZHAO~31 Department of Anesthesiology,Xinhua Hospital,shanghai Second Medical university,shanghai 200092,china 2 Department of Anesthesiology,Changhai Hospital,Second Military Medical university shanghai 200433,china 3 institute of Neurobiology,fudan university,shanghai 200433,china Department of Anesthesiology Xinhua Hospital Shanghai Second Medical University Shanghai China Department of Anesthesiology Changhai Hospital Second Military Medical University Shanghai China institute of Neurobiology Fudan University Shanghai China

Aim:The spinal cord is pivotal in immobility induced by volatile anestheticsbecause the anesthetics depress the activity of motor neurons in the spinal *** aim of this study was to observe the effects of sevoflurane on pain process-ing at the spinal ***:The firing of the gastrocnemius muscle wasevoked by electrical stimulation to the ipsilateral hindpaw in *** nociceptiveC response of electromyography（EMG）was selected to *** GABAAreceptor antagonist bicuculline（0.1 mg/kg）and opioid receptor antagonist nalo-xone（0.4 mg/kg）were administered intravenously,either in the presence or in theabsence of 1.0% ***:In rats with transected spinal cord,sevoflurane produced a profound reduction in the C response in a dose-and time-dependent *** the presence of 1.0% sevoflurane,the C responses wereincreased after injections of bicuculline and ***:Sevofluraneis a volatile anesthetic that acts directly on the spinal cord to suppress the nocice-ptive *** sevoflurane-induced suppression of the C response is antago-nized by either bicuculline or *** results suggest that spinal GABAAreceptors and opioid peptide receptors are involved in the sevoflurane-inducedsuppression of spinal nociception.

关键词： sevoflurane spinal cord pain measurement GABA receptors opioid receptors

Prognostic role of diabetes mellitus in hepatocellular carcinoma patients after curative treatments:a meta-analysis

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Hepatobiliary & Pancreatic Diseases International 2011年第4期10卷 346-355页

作者： Wei-Min wang,Yang Xu,Xin-Rong Yang,Yao-Hui wang,Hai-Xiang Sun and Jia Fan institute of Biomedical Sciences,fudan university,shanghai 200032,china Key Laboratory of Carcinogenesis and Cancer Invasion,Ministry of Education,and Liver Cancer institute,Zhongshan Hospital,fudan university,shanghai 200032,china fudan university shanghai Cancer Center,shanghai 200032,china institute of Biomedical Sciences Fudan University Shanghai 200032 China Key Laboratory of Carcinogenesis and Cancer Invasion Ministry of Education and Liver Cancer Institute Zhongshan Hospital Fudan University Shanghai 200032 China fudan university shanghai Cancer Center Shanghai 200032 China

BACKGROUND:The prognostic role of diabetes mellitus (DM) coexisting with hepatocellular carcinoma (HCC) remains *** clarify its impact on survival in HCC patients after curative treatments,a meta-analysis was *** SOURCES:Eligible studies were identified through multiple search strategies in the databases PubMed (MEDLINE),EMBASE,the Cochrane Library and ACP Journal Club between January 1950 and March *** studies fulfilled the inclusion criteria,and data were aggregated comparing overall survival and recurrence-free survival in HCC patients according to DM ***:The pooled hazard ratios (HRs) estimate for overall survival was 1.34 (95% CI,1.18-1.51;P<0.0001) and for recurrence-free survival was 1.48 (95% CI,1.00-2.18;P<0.0001),showing a worse survival for HCC with coexisting ***,the patients with DM had a shorter survival time in HCV-related HCC (HR=1.71;95% CI,1.10-2.66;P=0.016),while HBV-related cases were not significantly different (HR=1.29;95% CI,0.69-2.40;P=0.182).Meanwhile,the coexistence of DM impaired overall survival in HCC patients with a small tumor burden (HR=1.63;95% CI,1.25-2.12;P<0.0001).CONCLUSION:HCC patients with coexisting DM have a shorter survival time and a higher risk for tumor recurrence after curative treatments,while the precise value should be defined in more clinical trials with consistent methodology,especially prospective studies.

关键词： hepatocellular carcinoma diabetes mellitus prognostic factors survival meta-analysis

LEVITIN-POYAK WELL-POSEDNESS OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS WITH FUNCTIONAL CONSTRAINTS

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Acta Mathematica Scientia 2010年第5期30卷 1400-1412页

作者：王刚黄学祥张杰陈光亚 School of Management Fudan University institute of Applied mathematics Chongqing University of Posts and Telecommunications Academy of mathematics and Systems Science CAS

In this article, we study Levitin-Polyak type well-posedness for generalized vector equilibrium problems with abstract and functional constraints. Criteria and characterizations for these types of well-posednesses are... 详细信息

关键词： generalized vector equilibrium problems well-posedness set-valued map approximating solution sequence