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The structure of weak Pareto solution sets in piecewise linear multiobjective optimization in normed spaces

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Science China Mathematics 2008年第7期51卷 1243-1256页

作者： zheng xiyin YANG XiaoQi Department of Mathematics Yunnan UniversityKunming 650091China Department of Applied Mathematics the Hong Kong Polytechnic UniversityHung HumKowloonHong KongChina

In general normed spaces, we consider a multiobjective piecewise linear optimization problem with the ordering cone being convex and having a nonempty interior. We establish that the weak Pareto optimal solution set of such a problem is the union of finitely many polyhedra and that this set is also arcwise connected under the cone convexity assumption of the objective function. Moreover, we provide necessary and sufficient conditions about the existence of weak (sharp) Pareto solutions.

关键词： piecewise linear function weak Pareto solution connectedness normed space 90C29 90C30 90C31

A Series of Convex Functions on a Banach Space

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Acta Mathematica Sinica,English Series 1998年第1期14卷 77-84页

作者： zheng xiyin Department of Mathematics, Yunnan University, Kunming 650091, China Department of Mathematics Yunnan University Kunming China

A series of convex functions on a Banach space is studied. The generalizations of the Moreau-Rockafellar theorem are given. As its application, the partial generalization of the Kuhn- Tucker theorem is obtained.

关键词： Pointwise convergence Locally uniform convergence Subdifferential Moreau-Rockafellar theorem Kuhn-Tucker theorem

ELABELA protects against diabetic kidney disease by activating high glucose-inhibited renal tubular autophagy

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The Journal of Biomedical Research 2023年第6期37卷 460-469页

作者： xiyin zheng Lulu Yin Jing Song Juan Chen Wensha Gu Min Shi Hong Zhang Department of Endocrinology the Affiliated Huai'an No.1 People's Hospital of Nanjing Medical UniversityHuai'anJiangsu 223300China

ELABELA(ELA),an endogenous ligand of the apelin receptor(also known as apelin peptide jejunum[APJ]),has been shown to decrease in the plasma of patients with diabetic kidney disease(DKD).In the current study,we explored the potential function as well as the underlying mechanisms of ELA in *** first found that the ELA levels were decreased in the kidneys of DKD ***,we found that ELA administration mitigated renal damage and downregulated the expression of fibronectin,collagenⅣ,and transforming growth factor-β1 in the db/db mice and the high glucose cultured HK-2 ***,the autophagy markers,Beclin-1 and LC3-Ⅱ/LC3-Ⅰratio,were significantly impaired in DKD,but the ELA treatment reversed these ***,the inhibitory effects of ELA on the secretion of fibrosis-associated proteins in high glucose conditions were blocked by pretreatment with 3-methyladenine(an autophagy inhibitor).In summary,these in vivo and in vitro results demonstrate that ELA effectively protects against DKD by activating high glucose-inhibited renal tubular autophagy,potentially serving as a novel therapeutic candidate for DKD.

关键词： diabetic kidney disease ELABELA renal injury fibrosis renal tubular autophagy

Essential role of NbNOG1 in ribosomal RNA processing

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Journal of Integrative Plant Biology 2018年第11期60卷 1018-1022页

作者： Jiangbo Guo Shaojie Han Jinping Zhao Cuihua Xin xiyin zheng Yule Liu Yan Wang Feng Qu School of Life Science and Technology Inner Mongolia University of Science and Technology MOE Key Laboratory of Bioinformatics Center for Plant Biology Tsinghua-Peking Joint Center for Life Sciences School of Life Sciences Tsinghua University Department of Plant Pathology the Ohio State University

Nucleolar GTP-binding protein 1（NOG1） is a highly conserved GTPase first reported in Trypanosoma as required for ribosome biogenesis. We characterized NbNOG1, a Nicotiana benthamiana NOG1ortholog sharing more than 45% amino acid identity with Trypanosoma,yeast, and human NOG1. N. benthamiana plants silenced for NbNOG1were stunted and produced sterile ***1is functionally interchangeable with yeast NOG1（ScNOG1）, rescuing yeast lethality caused by loss of ScNOG1. Finally, NbNOG1silencing caused overaccumulation of pre-rRNA processing intermediates,and concomitant loss of mature rRNAs. Collectively,these data support a role for NbNOG1in ribosomal RNA processing.

关键词： Essential role of NbNOG1 in ribosomal RNA processing Figure

带约束无穷多凸不等式系统解集法锥的表示公式及应用

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中国科学：数学 2020年第12期50卷 1939-1956页

作者：郑喜印云南大学数学与统计学院昆明650504

本文改进Cabot和Thibault (2014)关于一个凸不等式解集法锥的结果,给出了带约束无穷多凸不等式解集法锥的表示公式.作为应用,本文引进并研究了半无穷凸优化问题的近似KKT (Karush-Kuhn-Tucker)点.特别地,没有任何约束规格限制,本文通过... 详细信息

本文改进Cabot和Thibault (2014)关于一个凸不等式解集法锥的结果,给出了带约束无穷多凸不等式解集法锥的表示公式.作为应用,本文引进并研究了半无穷凸优化问题的近似KKT (Karush-Kuhn-Tucker)点.特别地,没有任何约束规格限制,本文通过近似KKT点给出了半无穷凸优化问题解集的表述公式.此外,在Slater条件下,本文建立了半无穷凸优化问题近似KKT点集的稳定性.

关键词：水平集法锥次微分近似KKT点

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没有线性结构的极大极小定理与鞍点定理

应用数学和力学 1998年第4期19卷 349-354页

作者：郑喜印温忠粦云南大学数学系华南师范大学教育科学研究所

在没有线性结构的一般集合上引入了函数的一种“凹（凸）”性概念，得到一个没有线性结构的ＦａｎＫｙ不等式；在此基础上，在一般的拓扑空间上建立了极大极小定理，并把著名的鞍点定理推广到没有线性结构的拓扑空间上·

关键词：极大极小定理鞍点定理拓扑空间非线性分析

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次可分与拟可分的Banach空间

数学学报（中文版） 1994年第1期37卷 43-49页

作者：郑喜印云南大学数学系

Ｘ是Ｂａｎａｃｈ空间，对Ｘ的每一弱可分且弱紧的子集Ｋ，若（ｋ，ω）可度量，则称Ｘ是次可分的。如果对任意的可分，则称Ｘ是拟可分的。本文证明了这两类新引入的空间比可分空间与弱紧生成的Ｂａｎａｃｈ空间都要广泛并且保留了可分... 详细信息

Ｘ是Ｂａｎａｃｈ空间，对Ｘ的每一弱可分且弱紧的子集Ｋ，若（ｋ，ω）可度量，则称Ｘ是次可分的。如果对任意的可分，则称Ｘ是拟可分的。本文证明了这两类新引入的空间比可分空间与弱紧生成的Ｂａｎａｃｈ空间都要广泛并且保留了可分空间的许多重要性质。

关键词：次可分拟可分可分巴拿赫空间

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用硬球3参数状态方程计算混合物临界性质

天然气化工—C1化学与化工 1992年第2期17卷 49-56页

作者：李平郑锡胤林纪方中国科学院北京化工冶金研究所博士后研究员100080 大连理工大学化学工程研究所 116012

应用硬球3参数状态(CSPT)方程关联了含烷轻、芳烃、含氧烃以及无机气体的各类型二元混合物系的汽液临界轨迹,并提出一个简单、快速的对于混合物临界性质的计算方法。计算结果表明,采用与温度有关的二元相互作用参数,使计算精度获得显著... 详细信息

应用硬球3参数状态(CSPT)方程关联了含烷轻、芳烃、含氧烃以及无机气体的各类型二元混合物系的汽液临界轨迹,并提出一个简单、快速的对于混合物临界性质的计算方法。计算结果表明,采用与温度有关的二元相互作用参数,使计算精度获得显著改善。同时给出了PT方程的计算结果以作比较。另外,将由二元临界数据获得的二元相互作用参数用于推算H_2-CO和H_2-CO_2物系的高压汽液平衡,推算结果十分满意。

关键词：混合物临界性质 CSPT方程计算

应用DDLC-SRK统一模型推算多元体系流体相平衡

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天然气化工(C1化学与化工) 1988年第2期 54-59页

作者：吴清波武广文张乃文郑锡胤大连工学院化学工程研究所

应用一种以共形混合物作为基准态的DDLC-SRK统一模型推算高压下多组分流体相平衡。结果表明,对于极性-非极性混合物,其推算精度比常规方法有明显提高;对非极性混合物,其精度与常规立方型状态方程相仿或稍佳。

关键词：统一模型常规相平衡流体相热力学平衡方程 DDLC-SRK