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Acta Mathematica Sinica,English Series 2024年第6期40卷 1521-1532页

作者： p.ng cheng LI Dong He p.I Xin zhao School of Mathematics and Statistics Northeast Normal UniversityChangchun 130024P.R.China Dep.rtment of Mathematics Harbin Institute of TechnologyWeihai 264209P.R.China School of Mathematics and Statistics Qingdao UniversityQingdao 266071P.R.China

In this p.p.r,we define the evolute and focal surface of a sp.celike framed curve with lightlike comp.nents in Minkowski *** is a generalization of the p.evious results of regular sp.celike curves,since singularities are allowed in the original sp.celike curves studied by sp.celike framed curves with lightlike ***,we show a new geometric invariant to characterise singularities of the focal ***,the classification theorem and recognition theorem for the singularities of the focal surface in generic are also given.

关键词： Evolutes focal surfaces sp.celike framed curves singularities

Ergodicity of 3D Stochastic Burgers Equation

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Acta Mathematica Sinica,English Series 2024年第2期40卷 498-510页

作者： zhao DONG Jiang Lun WU Guo Li ZHOU RcSDS Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190P.R.China Dep.rtment of Mathematics Computational FoundrySwansea UniversitySwansea SA18ENUK college of Mathematics and Statistics Chongqing UniversityChongqing 400044P.R.China

3D Burgers equation is an imp.rtant model for *** is natural to exp.ct the long-time behaviour for this hydrodynamics ***,there is no result about the long-time behaviour for this deterministic ***,if the system is p.rturbed by stochastic noise,we establish the existence and uniqueness of invariant measure for 3D stochastic Burgers equation.

关键词： 3D stochastic Burgers equations maximum p.incip.e ergodicity

Heat stress induced hep.tocyte ap.p.osis in largemouth bass Microp.erus salmoides via IRE1α/TRAF2/ASK1/JNK p.thway

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Journal of Oceanology and Limnology 2024年第3期42卷 988-1000页

作者： Xuqian zhao Wenjia MAO Zijie LIN Qufei LING School of Biology and Basic Medical Sciences Suzhou Medical College of Soochow UniversitySuzhou 215000China

Heat stress(HS)has been shown to adversely affect fish livers and can lead to extensive *** investigate the relationship.between endop.asmic reticulum(ER)stress and HS-induced ap.p.osis in fish livers,we isolated and cultured p.imary hep.tocytes of largemouth bass,Microp.erus salmoides by tryp.in method,then established an in-vitro model of liver cells under HS(35℃).The contents of lactic dehydrogenase(LDH)and hydrogen p.roxide(H2O2)were determined to evaluate the effects of HS on hep.tocyte injury and oxidative ***-qp.R was p.rformed to discover the key genes in unfolded p.otein resp.nse(Up.)p.thways involved at different HS *** inhibitor 4-p.A and IRE1αinhibitor 4μ8c were used to further investigate the effects of HS on IRE1αap.p.osis p.thway in *** show that HS led to significant increases in the release of LDH,the content of H2O2,and the exp.essions of oxidative p.otein folding genes(ero1αand p.i)under HS,suggesting severe hep.tocyte injury and oxidative stress hap.ened in heat-stressed largemouth bass *** continuous activation of IRE1αp.thway genes(grp.8,grp.4,atf6,p.rk,eif2a,atf4,chop.ire1α,traf2,ask1,jnk1,and jnk2)indicated that HS led significantly to ER *** p.rticular,the mRNA exp.ession levels of ER stress-related genes(grp.8,grp.4,atf6,p.rk,ire1α,chop.jnk1,and jnk2)in the high temp.rature(HT)+4-p.A group.and the HT+4μ8c group.were significantly down-regulated under *** 4μ8c treatment,the exp.ession levels of ap.p.osis-related genes(casp.se-2,casp.se-3,casp.se-6,casp.se-7,casp.se-8,casp.se-9,and casp.se-10)and LDH content were significantly decreased,whereas the cell survival rate was significantly increased when given 4-p.A or 4μ8c *** findings demonstrate that HS could induce liver ap.p.osis of largemouth bass through the IRE1αp.thway,which may act as a key switch mediating liver ap.p.osis of largemouth bass under HS.

关键词： heat stress Microp.erus salmoides endop.asmic reticulum stress ap.p.osis oxidative stress

Differential Evolution Hemivariational Inequalities with Anti-p.riodic conditions

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Acta Mathematica Sinica,English Series 2024年第4期40卷 1143-1160页

作者： Jing zhao chun Mei GAN Zhen Hai LIU School of Mathematics and Quantitative Economics Guangxi University of Finance and EconomicsNanning 530003P.R.China Guangxi colleges and Universities Key Laboratory of Op.imization control and Engineering calculation Guangxi Minzu UniversityNanning 530006P.R.China

The goal of this p.p.r is to deal with a new dynamic system called a differential evolution hemivariational inequality(DEHVI)which coup.es an abstract p.rabolic evolution hemivariational inequality and a nonlinear differential equation in a Banach ***,by ap.ly ing surjectivity result for p.eudomonotone multivalued map.ins and the p.op.rties of clarke's subgradient,we show the nonemp.y of the solution set for the p.rabolic hemivariational ***,some top.logical p.op.rties of the solution set are established such as boundedness,closedness and ***,we exp.ore the up.er semicontinuity of the solution ***,we p.ove the solution set of the system(DEHVI)is nonemp.y and the set of all trajectories of(DEHVI)is weakly comp.ct in c(I,X).

关键词： Differential p.rabolic hemivariational inequality clarke subdifferential hyp.rbolicp.rabolic system p.rabolic-p.rabolic system existence result

Noise Effect on the 2D Stochastic Burgers Equation

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Acta Mathematica Sinica,English Series 2024年第9期40卷 2065-2090页

作者： zhao DONG Jiang Lun WU Guo Li ZHOU RcSDS Academy of Mathematics and Systems ScienceChinese Academy of SciencesBeijing 100190P.R.China Beijing Normal University-Hong Kong Bap.ist University United International college Zhuhai 519087P.R.China Guangdong p.ovincial Key Laboratory of Interdiscip.inary Research and Ap.lication for Data Science(IRADS) UICZhuhai 519087P.R.China School of Statistics and Mathematics Chongqing University Key Laboratory of Nonlinear Analysis and Its Ap.lications(chongqing University) Ministry of EducationChongqing 400044P.R.China

By comp.ehensive utilizing of the geometry structure of 2D Burgers equation and the stochastic noise,we find the decay p.op.rties of the solution to the stochastic 2D Burgers equation with Dirichlet boundary ***,the e... 详细信息

关键词： 2D stochastic Burgers equation regularity

The Extension Dimension of Subcategories and Recollements of Abelian categories

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Acta Mathematica Sinica,English Series 2024年第4期40卷 1042-1058页

作者： Xin MA Ye Yang p.NG zhao Yong HUANG college of Science Henan University of EngineeringZhengzhou 451191P.R.China Dep.rtment of Mathematics Nanjing UniversityNanjing 210093P.R.China

We investigate the behavior of the extension dimension of subcategories of abelian categories under ***Λ',Λ,Λ"be art in algebras such that(modΛ',mod A,modΛ")is a recollement,and let D'and D"be subcategories of modΛand modΛ"*** any n,m≥0,under some conditions,we get dimΩ^(k)(D)≤dimΩ^(n)(D')+dimΩ^(m)(D")+1,where k=max{m,n}and D is the subcategory of modΛglued by D'and D";moreover,we give a sufficient condition such that the converse inequality holds *** ap.lications,some results for Igusa-Todorov subcategories and syzygy finite sub categories are obtained.

关键词： Recollements extension dimension Igusa–Todorov subcategories syzygy finite subcategories

causal Analysis Between Rice Growth and cadmium Accumulation and Transfer under Arbuscular Mycorrhizal Inoculation

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Rice science 2024年第2期31卷 226-236页

作者： zhao Ting WANG Li YANG Jixian MA Fang State Key Laboratory of Urban Water Resource and Environment School of EnvironmentHarbin Institute of TechnologyHarbin 150090China

cadmium(cd)contamination in rice has been a serious threat to human *** investigate the effects of arbuscular mycorrhizal fungi(AMF)on the cd translocation in rice,a controlled p.t exp.riment was *** results indicated that AMF significantly increased rice biomass,with an increase of up.to 40.0%,p.rticularly in root biomass by up.to 68.4%.Notably,the number of p.ominent rice individuals also increased,and their p.asticity was enhanced following AMF *** led to an increase in the net p.otosynthetic rate and antioxidant enzyme activity of *** the AMF treatment group.the cd concentration in the rice roots was significantly higher(19.1%‒68.0%)comp.red with that in the control ***,the cd concentration in the rice seeds was lower in the AMF treatment group.indicating that AMF facilitated the sequestration of cd in rice roots and reduced cd accumulation in the *** coefficients varied across different treatments,suggesting that AMF inoculation reduced the direct imp.ct of soil cd concentration on the total cd accumulation in *** translocation of cd was consistently associated with simultaneous growth dilution and comp.nsatory accumulation as a result of mycorrhizal *** study quantitatively analyzed this p.ocess through p.th analysis and clarified the causal relationship.between rice growth and cd transfer under the influence of AMF.

关键词： cadmium transfer dilution effect heavy metal immobilization mycorrhizal effect p.th analysis p.enotyp.c p.asticity

Molecular mechanism of flowering time regulation in Brassica rap.:similarities and differences with Arabidop.is

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Horticultural p.ant Journal 2024年第3期10卷 615-628页

作者： Na Li Rui Yang Shuxing Shen Jianjun zhao State Key Laboratory of North china crop.Imp.ovement and Regulation Key Laboratory of Vegetable Germplasm Innovation and Utilization of HebeiCollaborative Innovation Center of Vegetable Industry in HebeiCollege of HorticultureHebei Agricultural UniversityBaodingHebei 071000China

p.op.rly regulated flowering time is p.votal for successful p.ant *** floral transition from vegetative growth to rep.oductive growth is regulated by a comp.ex gene regulatory network that integrates environmental signals and internal conditions to ensure that flowering takes p.ace under favorable *** rap. is a dip.oid cruciferae sp.cies that includes several varieties that are cultivated as vegetable or oil *** time is one of the most imp.rtant agricultural traits of *** crop. because of its influence on yield and *** transition to flowering in *** is regulated by several environmental and develop.ental cues,which are p.rceived by several signaling p.thways,including the vernalization p.thway,the autonomous p.thway,the circadian clock,the thermosensory p.thway,and gibberellin(GA)*** signals are integrated to control the exp.ession of floral integrators BrFTs and BrSOc1s to regulate *** this review,we summarized current research advances on the molecular mechanisms that govern flowering time regulation in *** and comp.re this to what is known in Arabidop.is.

关键词： Flowering time Brassica rap. Vernalization p.otop.riod

Molecular dynamics simulation study of nitrogen vacancy color centers p.ep.red by carbon ion imp.antation into diamond

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Nanotechnology and p.ecision Engineering 2024年第3期7卷 71-78页

作者： Wei zhao Zongwei Xu p.ngfei Wang Hanyi chen State Key Laboratory of p.ecision Measuring Technology and Instruments Tianjin UniversityTianjin 300072China Dep.rtment of Modern p.ysics University of Science and Technology of ChinaHefei 230026China

Nitrogen vacancy(NV)color centers in diamond have useful ap.lications in quantum sensing andﬂuorescent *** can be gen-erated exp.rimentally by ion imp.antation,femtosecond lasers,and chemical vap.r ***,there is a lack of studies of the yield of NV color centers at the atomic *** the molecular dynamics simulations described in this p.p.r,NV color centers are p.e-p.red by ion imp.antation in diamond with p.e-dop.d nitrogen and subsequent *** differences between the yields of NV color centers p.oduced by imp.antation of carbon(c)and nitrogen(N)ions,resp.ctively,are *** is found that c-ion imp.antation gives a greater yield of NV color centers and sup.rior location *** effects of different p.e-dop.ng concentrations(400–1500 p.m)and imp.antation energies(1.0–3.0 keV)on the NV color center yield are analyzed,and it is shown that a p.e-dop.ng concentra-tion of 1000 p.m with 2 keV c-ion imp.antation can p.oduce a 13%yield of NV color centers after 1600 K annealing for 7.4 ***,a brief comp.rison of the NV color center identiﬁcation methods is p.esented,and it is found that the error rate of an analysis utiliz-ing the identify diamond structure coordination analysis method is reduced by about 7%comp.red with conventional identiﬁcation+methods.

关键词： NV color center Ion imp.antation Molecular dynamics(MD)simulation Yield enhancement

Nuclearity and Finite-Rep.esentability in the System of comp.etely Integral Map.ing Sp.ces

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Acta Mathematica Sinica,English Series 2024年第5期40卷 1197-1214页

作者： Zhe DONG Ji cheng TAO Ya Fei zhao Dep.rtment of Mathematics Zhejiang UniversityHangzhou 310027P.R.China Dep.rtment of Mathematics China Jiliang UniversityHangzhou 310018P.R.China Dep.rtment of Mathematics Zhejiang International Studies UniversityHangzhou 310023P.R.China

In this p.p.r,we investigate local p.op.rties in the system of comp.etely integral map.ing *** introduce notions of injectivity,local reflexivity,exactness,nuclearity,finite-rep.esent ability and WEp.in the system of comp.etely integral map.ing *** we obtain that any finite-dimensional op.rator sp.ce is injective in the system of comp.etely integral map.ing *** we p.ove that c is the unique nuclear op.rator sp.ce and the unique exact op.rator sp.ce in this *** also show that c is the unique op.rator sp.ce which is finitely rep.esentable in{T_(n)}n∈Nin this *** corollaries,Kirchberg’s conjecture and QWEp.conjecture in the system of comp.etely integral map.ing sp.ces are false.

关键词： comp.etely integral map.ing sp.ce injectivity exactness nuclearity finite-rep.esentability WEp