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ROBUST ESTIMATION IN PARTIAL LINEAR MIXED MODEL FOR LONGITUDINAL DATA

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Acta Mathematica Scientia 2008年第2期28卷 333-347页

作者：秦国友朱仲义 Department of Statistics East china Normal university Department of Statistics fudan university

In this article, robust generalized estimating equation for the analysis of partial linear mixed model for longitudinal data is used. The authors approximate the nonparametric function by a regression spline. Under some regular conditions, the asymptotic properties of the estimators are obtained. To avoid the computation of high-dimensional integral, a robust Monte Carlo Newton-Raphson algorithm is used. Some simulations are carried out to study the performance of the proposed robust estimators. In addition, the authors also study the robustness and the efficiency of the proposed estimators by simulation. Finally, two real longitudinal data sets are analyzed.

关键词： Generalized estimating equation longitudinal data metropolis algorithm,mixed effect partial linear model robustness

Identification and Characterization of a Rat Novel Gene RSEP4 Expressed Specifically in Central Nervous System

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Acta Biochimica et Biophysica Sinica 2004年第7期36卷 501-507页

作者： Xi-Dao WANG1,2, Ling-Wei KONG1, Zhi-Qin XIE1, Yu-Qiu ZHANG3, Zhi-Xin LIN2, Zhi-Qi ZHAO3,Lei YU4, and Nai-He JING1* 1 Laboratory of Molecular Cell Biology, Laboratory of Stem Cell Biology, 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 school of life Science and Biotechnology, 2 shanghai Jiaotong university, shanghai 200030, china Institute of Neurobiology, fudan university, shanghai 200433, china 3 4 Department of Cell Biology, Neurobiology and Anatomy, College of Medicine, university of Cincinnati, Cincinnati, Ohio, USA Laboratory of Molecular Cell Biology Laboratory of Stem Cell Biology Institute of Biochemistry and Cell Biology Shanghai Institutes for Biological Sciences Chinese Academy of Sciences Graduate School of the Chinese Academy of SciencesShanghai 200031 China school of life Science and Biotechnology Shanghai Jiaotong UniversityShanghai 200030 China Institute of Neurobiology Fudan UniversityShanghai 200433 China Department of Cell Biology Neurobiology and Anatomy College of Medicine University of CincinnatiCincinnati Ohio USA

The low-abundantly expressed genes composed the majorities of the mRNAs expressed in the central nervous system (CNS), and were thought to be important for the normal brain functions. Through differential screening a low-abundance cDNA sublibrary with mRNA from neuropathic pain of chronic constriction injury (CCI) model, we have identified a novel rat gene, rat spinal-cord expression protein 4 gene (RSEP4). The total length of RSEP4 cDNA is 2006 bp, with a 501 nucleotide open reading frame (ORF) that encodes a 167 amino acid polypeptide. Northern blot revealed that RSEP4 was expressed specifically in the CNS. In situ hybridization showed that the mRNA of RSEP4 was strongly expressed in the CA1, CA2, CA3 and DG regions of hippocampus, the Purkinje cells of cerebellum, and the small sensory neurons of dorsal horn and large motor neurons of ventral horn of spinal cord. Over-expression of RSEP4-EGFP fusion protein in the human embryonic kidney 293T cells showed that RSEP4 protein was mainly localized in the cell cytoplasm. These results suggest that RSEP4 may play some roles in the CNS.

关键词： central nervous system (CNS) rat Northern blot in situ hybridization

Enhancement of naked FIX minigene expression by chloroquine in mice

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Acta Pharmacologica Sinica 2004年第5期25卷 28-33页

作者： Hong-yan CHEN, Huan-zhang ZHU, Bin LU, Xuan XU, Ji-hua YAO, Qi SHEN, Jing-lun XUE1State Key Laboratory of Genetic Engineering, Institute of Genetics,school of life sciences, fudan university, shanghai 200433, china Institute of Genetics School of Life Sciences Fudan University State Key Laboratory of Genetic Engineering 上海 200433

AIM: To study the effect of chloroquine on the expression of human clotting factor IX (hFIX) in mice. METHODS:Hydrodynamics-based naked DNA plasmid administration was performed by tail vein injection of 10 g of pCMV-hFIX and chloroquine (0, 100, 200, and 500 mol/L) in 2.2 mL of Ringer solution within 6-7 s, the level andstability of hFIX expression, liver damage and toxicity were then examined. RESULTS: The maximum expression ofhFIX level was 4.41.8 mg/L at 8 h after injection, 9.71.6 mg/L at 24 h only existed in 200 mol/L chloroquine-treated animals, which is 3-4 fold higher than that of control (P0.05). CONCLUSION: Chloroquine can enhance and sustain exogenous geneexpression in vivo without side effect under our experimental conditions.

关键词： chloroquine factor IX naked plasmids

Micro/nanosystems for controllable drug delivery to the brain

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The Innovation 2024年第1期5卷 139-157页

作者： Mingzhen Tian Zhichao Ma Guang-zhong yang Institute of Medical Robotics School of Biomedical EngineeringShanghai Jiao Tong UniversityShanghai 200240China

Drug delivery to the brain is crucial in the treatment for central nervous system *** significant progress has been made in recent years,there are still major challenges in achieving controllable drug delivery to the *** clinical needs arise from various factors,including controlled drug transport,handling large drug doses,methods for crossing biological barriers,the use of imaging guidance,and effective models for analyzing drug *** advances in micro/nanosystems have shown promise in addressing some of these *** include the utilization of microfluidic platforms to test and validate the drug delivery process in a controlled and biomimetic setting,the development of novel micro/nanocarriers for large drug loads across the blood-brain barrier,and the implementation of micro-intervention systems for delivering drugs through intraparenchymal or peripheral *** this article,we present a review of the latest developments in micro/nanosystems for controllable drug delivery to the *** also delve into the relevant diseases,biological barriers,and conventional *** addition,we discuss future prospects and the development of emerging robotic micro/nanosystems equipped with directed transportation,real-time image guidance,and closed-loop control.

关键词： equipped doses barriers

A QP-FREE AND SUPERLINEARLY CONVERGENT ALGORITHM FOR INEQUALITY CONSTRAINED OPTIMIZATIONS

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Acta Mathematica Scientia 2001年第1期21卷 121-130页

作者：徐以凡王薇 school of Management Fudan University Shanghai 200433 China Department of Applied Mathematics Tongji University Shanghai 200331 China

In this paper, a new mixed quasi-Newton method for inequality constrained optimization problems is proposed. The feature of the method is that only the systems of linear equations are solved in each iteration, other than the quadratic programming, which decrease the amount of computations and is also efficient for large scale problem. Under some mild assumptions without the strict complementary condition., the method is globally and superlinearly convergent.

关键词： quasi-Newton method strict complementary condition global convergence superlinear convergence

Expression of estrogen receptor （ER） -α and -βtranscripts in the neonatal and adult rat cerebral cortex, cerebellum, and olfactory bulb

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Cell Research 2001年第4期11卷 321-324页

作者： GUO XING zhong, JUN DA SU, QING WEN SUN, BING HUA JIAO Department of Biochemistry and Molecular Biology, Second Military Medical university, shanghai 200433 school of life sciences and Medical Engineering, Tongji university, shanghai 200092, china Shangha Department of Biochemistry and Molecular Biology Second Military Medical University Shanghai school of life sciences and Medical Engineering Tongji University Shanghai China shanghai Institute of Physiology Chinese Academy of Sciences Shanghai China

In the present study expression of estrogen receptor subtype -α(ERα) and -β (ERβ) in the cerebral cortex, cerebellum, and olfactory bulb was investigated and compared between neonatal (1～3-days-old) and adult (250～350g) rats, using reverse transcription-polymerase chain reaction (RT- PCR). No ERα transcripts were detectable in the adult cerebellum and olfactory bulb, whereas very weak expression of ERα was present in the adult cerebral cortex. No significant difference in ERβ transcripts was detectable between the neonatal and adult rats. While transcripts for both ER subtypes were co-expressed in these brain areas of neonatal rats, although ERα expression was significantly weaker than ERβ. Even in the cerebral cortex known to contain both ER subtypes in adult rats, ERα transcripts in neonatal rats were much higher than in adult. These observations provide evidence for the existence of different expression patterns of ERcα/ERβ transcripts in these three brain areas between the neonatal and adult rats, suggesting that each ER subtype may play a distinct role in the regulation of differentiation, development, and functions of the brain by estrogen.

关键词： Cerebellum cerebral cortex estrogen receptor (ER) olfactory bulb RT-PCR.

Delay Induced Hopf Bifurcation of Small-World Networks

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Chinese Annals of Mathematics,Series B 2007年第4期28卷 453-462页

作者： Zhang CHEN Donghua ZHAO Jiong RUAN school of Mathematics and System sciences Shandong University Jinan 250100 China school of Mathematical sciences and Laboratory of Mathematics for Nonlinear sciences Fudan UniversityShanghai 200433 China

在这篇论文，稳定性；有时间延期的小世界的网络的 Hopf 分叉被学习。由分析延期的变化，我们在马厩上获得几个足够的条件；不稳定的性质。当延期传递批评价值时， Hopf 分叉可以出现。而且，方向；区分周期的答案的稳定性被正常形式理... 详细信息

在这篇论文，稳定性；有时间延期的小世界的网络的 Hopf 分叉被学习。由分析延期的变化，我们在马厩上获得几个足够的条件；不稳定的性质。当延期传递批评价值时， Hopf 分叉可以出现。而且，方向；区分周期的答案的稳定性被正常形式理论调查；中心歧管减小。由数字模拟，最后，我们进一步在这篇论文说明定理的有效性。

关键词： Hopf分歧时滞小世界网络网络理论

On Galois Extension of Hopf Algebras

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Chinese Annals of Mathematics,Series B 2008年第1期29卷 65-70页

作者： Guohua LIU Shenglin ZHU Department of Mathematics Southeast University Nanjing 210096 China Key Laboratory of Mathematics for Nonlinear sciences School of Mathematical Sciences Pudan University Shanghai 200433 China

让 H 是在地 k 上的 cosemisimple Hopf 代数学，；π：→ H 是双性人代数学的 surjective cocentral 双性人代数学同形。如果 A 是在它的硬币变体 B = LH 克尔π上的 Galois，作者证明那；B 是 A 的 sub-Hopf 代数学，当时， A 是自己 ... 详细信息

让 H 是在地 k 上的 cosemisimple Hopf 代数学，；π：→ H 是双性人代数学的 surjective cocentral 双性人代数学同形。如果 A 是在它的硬币变体 B = LH 克尔π上的 Galois，作者证明那；B 是 A 的 sub-Hopf 代数学，当时， A 是自己 Hopf 代数学。这概括 Cegarra 的结果[3 ] 在分级组的代数学上。

关键词：霍普夫代数伽罗瓦扩张数学分析双代数

The rate of convergence of the Lax-Oleinik semigroup-degenerate fixed point case

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Science china Mathematics 2011年第3期54卷 545-554页

作者： WANG KaiZhi1,2 & YAN Jun1 1school of Mathematical sciences and Key Lab of Mathematics for Nonlinear Science, fudan university, shanghai 200433, china 2school of Mathematics, Jilin university, Changchun 130012, china school of Mathematical sciences and Key Lab of Mathematics for Nonlinear Science Fudan University Shanghai China school of Mathematics Jilin University Changchun China

For the standard Lagrangian in classical mechanics, which is defined as the kinetic energy of the system minus its potential energy, we study the rate of convergence of the corresponding Lax-Oleinik semigroup. Under the assumption that the unique global minimum point of the Lagrangian is a degenerate fixed point, we provide an upper bound estimate of the rate of convergence of the semigroup.

关键词：收敛速度半群退化不动点拉格朗日经典力学能量系统上限估计