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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 2.0433, china.) fudan Univ Inst Math Shanghai 200433 Peoples R 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

A NONLOCAL NONLINEAR BOUNDARYVALUE PROBLEM FOR THE HEAT EQUATIONS

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Chinese Annals of Mathematics,Series B 1996年第3期17卷 365-374页

作者： YAN JINHAI(Department of Mathematics, fudan university, shanghai 2.0433, china) fudan UNIV DEPT MATHSHANGHAI 200433PEOPLES R CHINA

The existence and limit behaviour of the solution for a kind of nonlocal nonlinear boundaryvalue condition on a part of the boundary is studied for the heat equation, which physicallymeans that the potential is the function of the total flux. When this part of boundary shrinksto a point in a certain wayt this condition either results in a Dirac measure or simply disappearsin the corresponding problem.

关键词： Heat equation Nonlinear boundary problem Potential Limit behavior

Recent developments of nanoparticle-based enrichment methods for mass spectrometric analysis in proteomics

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Science china Chemistry 2010年第4期53卷 695-703页

作者： ZHANG LiJuan, LU HaoJie & YANG PengYuan Department of Chemistry and Institutes of Biomedical sciences, fudan university, shanghai 2.0433, china 1. Department of Chemistry and Institutes of Biomedical sciences Fudan University Shanghai 200433 China

In proteome research, rapid and effective separation strategies are essential for successful protein identification due to the broad dynamic range of proteins in biological samples. Some important proteins are often expressed in ultra low abundance, thus making the pre-concentration procedure before mass spectrometric analysis prerequisite. The main purpose of enrichment is to isolate target molecules from complex mixtures to reduce sample complexity and facilitate the subsequent analyzing steps. The introduction of nanoparticles into this field has accelerated the development of enrichment methods. In this review, we mainly focus on recent developments of using different nanomaterials for pre-concentration of low-abundance peptides/ proteins, including those containing post-translational modifications, such as phosphorylation and glycosylation, prior to mass spectrometric analysis.

关键词： enrichment nanoparticles mass spectrometry proteomics phosphorylation glycosylation

The neural mechanisms of pain-related affect and memory

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Progress in Natural Science:Materials International 2006年第4期16卷 338-345页

作者： ZHANG Yuqiu Institute of Neurobiology, fudan university, shanghai 2.0433, china [a]Institute of Neurobiology Fudan University Shanghai China

The pain experience includes a sensory-discriminative and an emotional-affective components. The affective dimension refers to the unpleasantness or aversion of sensation. The great progress at the genetic, molecular, cellular, and systemic levels on the study of the sensory dimension of pain has been made over past four decades. However, "to consider only the sensory features of pain, and ignore its motivational and affective properties, is to look at only part of the problem and not even the most important part of that". A line of clinic observations indicate that the patients with chronic pain suffer from much more affective disturbance than pain itself. Obviously, physiological arousal and hypervigilance to pain cause negative affect, such as anxiety, anger, worry, aversion, even tendency of suicide, these negative affective states in turn enhance pain sensation. Today, more and more attention has been paid to the study on mechanisms underlying affective dimension of pain. In order to deepen and expand our understanding of the nature of pain, this review summarizes the main progress and recent findings from our laboratory regarding affective component of pain in neuroanatomy, neurophysiology, and cell biochemistry.

关键词： pain emotion medial pain system anterior cingnlate cortex formalin conditioned place avoidance cAMP responsive element binding protein extracellular signal-regulated kinase.

SOBOLEV INEQUALITY ON RIEMANNIAN MANIFOLDS

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Chinese Annals of Mathematics,Series B 2005年第4期26卷 651-658页

作者： WANG MENG Department of Mathematics, Zhejiang university, Hangzhou 310027, china school of Mathematical sciences, Pudan university, shanghai 2.0433, china. Department of Mathematics Zhejiang University Hangzhou 310027 China. school of Mathematical sciences Fudan University Shanghai 200433 China

Let M be an n dimensional complete Riemannian manifold satisfying the doublingvolume property and an on-diagonal heat kernel estimate. The necessary-sufficientcondition for the Sobolev inequality ‖f‖q ≤ Cn,,v,p,q(... 详细信息

关键词： Sobolev inequality Complete manifold Riesz transform Potential Heat kernel

THE CAPACITY DENSITY AND THE HAUSDORFF DIMENSION OF FRACTAL SETS

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Chinese Annals of Mathematics,Series B 1995年第1期16卷 43-50页

作者： Xu You (Institute of Mathematics, fudan university, shanghai 2.0433, shanghai, china). fudan UNIV INST MATHSHANGHAI 200433PEOPLES R CHINA

This paper defines the upper capacity densities of the subsets of R￣n, gets uniform lower bound of the upper capacity densities for -almost all points of the Hausdorff s-sets or the analytic sets with Hausdorff dimen... 详细信息

关键词： Capacity density Hausdorff dimension Fractal set.

Determination of Unknown Boundary in the Composite Materials with Stefan-Boltzmann Conditions

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Chinese Annals of Mathematics,Series B 2010年第2期31卷 145-162页

作者： Xiaoyi HU Wenbin CHEN school of Mathematical sciences Fudan University Shanghai 200433 China.

Abstract The authors consider one specific kind of heat transfer problems in a threedimensional layered domain, with nonlinear Stefan-Boltzmann conditions on the boundaries as well as on the interfaces. To determine the unknown part of the boundary （or corrosion） by the Cauchy data on the reachable part is an important inverse problem in engineering. The mathematical model of this problem is introduced, the well-posedness of the forward problems and the uniqueness of the inverse problems are obtained.

关键词： Inverse heat problem Stefan-Boltzmann conditions Uniqueness

Role of Apolipoprotein A-I in Protecting against Endotoxin Toxicity

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Acta Biochimica et Biophysica Sinica 2004年第6期36卷 419-424页

作者： Juan MA, Xue-Ling LIAO, Bin LOU, and Man-Ping WU* Department of Biochemistry, school of Pharmacy, fudan university, shanghai 200032, china Department of Biochemistry School of Pharmacy Fudan UniversityShanghai 200032 China

High density lipoprotein (HDL) binds lipopolysaccharide (LPS or endotoxin) and neutralizes its toxicity. We investigated the function of Apolipoprotein A-I (ApoA-I), a major apolipoprotein in HDL, in this process. Mouse macrophages were incubated with LPS, LPS+ApoA-I, LPS+ApoA-I+LFF (lipoprotein-free plasma fraction d>1.210 g/ml), LPS+HDL, LPS+HDL+LFF, respectively. MTT method was used to detect the mortality of L-929 cells which were attacked by the release-out cytokines in LPS-activated macrophages. It was found that ApoA-I significantly decreased L-929 cells mortality caused by LPS treatment (LPS vs. LPS+ApoA-I, P<0.05) and this effect became even more significant when LFF was utilized (LPS vs. LPS+ApoA-I+LFF, P<0.01; LPS vs. LPS+HDL+LFF, P<0.01). There was no significant difference between LPS+ApoA-I+LFF and LPS+HDL+LFF treatment, indicating that ApoA-I was the main factor. We also investigated in vivo effects ofApoA-I on mouse mortality rate and survival time after LPS administration. We found that the mortality in LPS+ApoA-I group (20%) and in LPS+ApoA-I+LFF group (10%) was signifi- cantly lower than that in LPS group (80%) (P<0.05, P<0.01, respectively); the survival time was (43.20 ± 10.13) h in LPS+ApoA-I group and (46.80 ± 3.79) h in LPS+ApoA-I+LFF group, which were significantly longer than that in LPS group (16.25 ± 17.28) h (P<0.01). We also carried out in vitro binding study to investigate the binding capacity of ApoA-I and ApoA-I+LFF to fluorescence labeled LPS (FITC-LPS). It was shown that both ApoA-I and ApoA-I+LFF could bind with FITC-LPS, however, the binding capacity of ApoA-I+LFF to FITC-LPS (64.47 ± 8.06) was significantly higher than that of ApoA-I alone (24.35 ± 3.70) (P<0.01). The results suggest that: (1) ApoA-I has the ability to bind with and protect against LPS; (2) LFF enhances the effect of ApoA-I; (3) ApoA-I is the major contributor for HDL anti-endotoxin function.

关键词： Apolipoprotein-I lipopolysaccharide (LPS) macrophages FITC-lipopolysaccharide (FITC-LPS) L-929 cells

Antitumor Effect of a Novel Adeno-associated Virus Vector Targeting to Telomerase Activity in Tumor Cells

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Acta Biochimica et Biophysica Sinica 2004年第7期36卷 492-500页

作者： Yi-Gang WANG1,2#, Jin-Hui WANG1#, Yan-Hong ZHANG1, Qing GU2*, and Xin-Yuan LIU1* 1Institute of Biochemistry and Cell Biology, shanghai Institutes for Biological sciences, Chinese Academy of sciences, Graduate school of the Chinese Academy of sciences, shanghai 200031, china school of life Science, Nanchang university, Nanchang 330047, china Institute of Biochemistry and Cell Biology Shanghai Institutes for Biological Sciences Chinese Academy of Sciences Graduate School of the Chinese Academy of Sciences Shanghai 200031 China

Telomerase activity is a wide tumor marker. Human telomerase reverse transcriptase (hTERT), the catalytic subunit of the telomerase, is transcriptionally upregulated exclusively in about 90% of cancer cells. In this study, we constructed a novel adeno-associated virus (AAV) vector containing the human interferon-β (hIFN-β) gene under the control of hTERT promoter (AAV-hTERT-hIFN-β) and investigated its antitumor effect against various human cancer cells in vitro. AAV-hTERT-hIFN-β displayed cancer-specific hIFN-β expression and cytotoxicity. The cytotoxic ratio was positively correlated with the time length of infection. AAV-hTERT-hIFN-β-mediated apoptotic morphology was observed by transmission electron microscopy. Flow cytometry assay also revealed that the cytotoxicity of AAV-hTERT-hIFN-β was mainly an apoptotic process. These data indicate that AAV in combination with hTERT-mediated therapeutic gene expression may open new possibilities for long-lasting and targeting gene therapy of varieties of cancers.

关键词： adeno-associated virus (AAV) telomerase hTERT promoter human interferon-β cancer