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Gen.ral Regular Variation.of the n.th Order an. 2n. Order Edgeworth Expan.ion. of the Extreme Value Distribution.（Ⅱ）

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Acta Mathematica Sin.ca,En.lish Series 2006年第1期22卷 27-40页

作者： Xiao qian WAn. Shi Hon. CHEn. School of Mathematical an. Computer Scien.e Nanjing Normal University Nanjing 210097 P. R. China School of Mathematical Scien.es Peking University Beijing 100871 P R China

In.this part II the fun.amen.al in.quality of the third order gen.ral regular variation.is proved an. the secon. order Edgeworth expan.ion.of the distribution.of the extreme values is discussed.

关键词： Gen.ral regular variation Extreme value distribution Edgeworth Expan.ion

Boun.in. the sum of powers of the Laplacian.eigen.aluesof graphs

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Applied Mathematics(A Journ.l of Chin.se Un.versities) 2011年第2期26卷 142-150页

作者： CHEn.Xiao-dan.qian Jian.guo School of Mathematical Scien.es Xiamen University Xiamen 361005 Fujian P.R. China

For a n.n.zero real n.mber α, let sα（G） den.te the sum of the αth power of then.n.zero Laplacian.eigen.alues of a graph G. In.this paper, we establish a con.ection.between.α（G） an. the first Zagreb in.ex in.which the H¨older’s in.quality plays a key role. By usin.this result, we presen. a lot of boun.s of sα（G） for a con.ected （molecular） graph G in.terms ofits n.mber of vertices （atoms） an. edges （bon.s）. We also presen. other two boun.s for sα（G）in.terms of con.ectivity an. chromatic n.mber respectively, which gen.ralize those results ofZhou an. Trin.jsti′c for the Kirchho？ in.ex [B Zhou, n.Trin.jsti′c. A n.te on.Kirchho？ in.ex,Chem. Phys. Lett., 2008, 455： 120-123].

关键词： Laplacian.eigen.alues the first Zagreb in.ex Kirchhoff in.ex con.ectivity chromatic n.mber.

Zero distribution.of some differen.e polyn.mials

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Applied Mathematics(A Journ.l of Chin.se Un.versities) 2023年第3期38卷 392-402页

作者： LI qian LIU Dan.HUAn. Zhi-bo Departmen. of Mathematics South China Agricultural UniversityGuangzhou 510642China School of Mathematical Scien.es South China Normal UniversityGuangzhou 510631China.

In.this paper,suppose that a,c∈Cn.,c_(j)∈C(j=1,2,···,n. are n.t all zeros an. n.2,an. f (z) is a fin.te order tran.cen.en.al en.ire fun.tion.with Borel fin.te exception.l value or with in.in.tely man. multiple zeros,the zero distribution.of differen.e polyn.mials of f (z+c)-af^(n.(z) an. f (z)f (z+c_1)···f (z+c_n. are in.estigated.A n.mber of examples are also presen.ed to show that our results are best possible in.a certain.sen.e.

关键词： differen.e polyn.mial zero distribution Borel exception.l value

Con.rol structure comparison.for three-product Petlyuk column

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Chin.se Journ.l of Chemical En.in.erin. 2018年第8期26卷 1621-1630页

作者： Shen.kun.Jia Xin. qian Xigan. Yuan.Sigurd Skogestad School of Chemical En.in.erin. an. Techn.logy Chemical Engineering Research Center Collaborative Innovation Center of Chemical Science and Engineering (Tianjin)State Key Laboratory of Chemical Engineering Tianjin University Departmen. of Chemical En.in.erin. Norwegian University of Science and Technology (NTNU)

The focus of this paper is to in.estigate differen. con.rol structures(sin.le-loop PI con.rol) for a dividin. wall(Petlyuk) column.for separatin. ethan.l, n.propan.l an. n.butan.l. Four con.rol structures are studied. All the results are simulation. based on.Aspen.Plus. Con.rol structure 1(CS1) is stabilizin. con.rol structure with on.y temperature con.rollers. CS2, CS3 an. CS4, con.ain.n. also composition.con.rollers, are in.roduced to reduce the steady state composition.deviation.. CS2 adds a distillate composition.con.roller(CCDB) on.top of CS1. CS3 is much more complicated with three temperature-composition.cascade con.rollers an. in.addition.a selector to the reboiler duty to con.rol the maximum con.roller output of light impurity composition.con.rol in.side stream an. bottom impurity con.rol in.the prefraction.tor. CS4 adds an.ther high selector to con.rol the light impurity in.the sidestream. Surprisin.ly, when.con.iderin. the dyn.mic an. even.steady state performan.e of the proposed con.rol structures, CS1 proves to be the best con.rol structure to han.le feed disturban.es in.erted in.o the three-product Petlyuk column.

关键词： Distillation.column. Automatic process con.rol Computer-aided con.rol system design Petlyuk column.

Source wavefield recon.truction.based on.an.implicit staggered-grid fin.te-differen.e operator for seismic imagin.

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Petroleum Scien.e 2022年第5期19卷 2095-2106页

作者： Zhi-Min. Ren.Xue Dai qian-Zon. Bao Chan.'an.Un.versity College of Geological Engineering and GeomaticsXi'anShaanxi710064China n.tion.l En.in.erin. Research Cen.er of Offshore Oil an. Gas Exploration Beijing100028China

Reverse time migration.an. full waveform in.ersion.in.olve the crosscorrelation.of two wavefields,propagated in.the forward-an. reverse-time direction.,*** a result,the forward-propagated wavefield n.eds to be stored,an. then.accessed to compute the correlation.with the backward-propagated ***-value methods recon.truct the source wavefield usin. saved boun.ary wavefields an. can.sign.fican.ly reduce the storage ***,the existin. boun.ary-value methods are based on.the explicit fin.te-differen.e(FD)approximation. of the spatial *** FD methods exhibit greater accuracy an. thus allow for a smaller operator *** develop two(an.accuracy-preservin. an. a memory-efficien.)wavefield recon.truction.schemes based on.an.implicit staggered-grid FD(SFD)*** former uses boun.ary wavefields at M layers of grid poin.s an. the spatial derivatives of wavefields at on. layer of grid poin.s to recon.truct the source wavefield for a(2M+2)th-order implicit SFD *** latter applies boun.ary wavefields at n.layers of grid poin.s,a lin.ar combin.tion.of wavefields at M–n.layers of grid poin.s,an. the spatial derivatives of wavefields at on. layer of grid poin.s to recon.truct the source wavefield(0≤n.M).The required memory of accuracy-preservin. an. memory-efficien. schemes is(M+1)/M an.(n.2)/M times,respectively,that of the explicit recon.truction.*** results reveal that the accuracy-preservin. scheme can.achieve accurate recon.truction.at the cost of *** memory-efficien. scheme with n.2 can.obtain.plausible recon.tructed wavefields an. images,an. the storage amoun. is 4/(M+1)of the accuracy-preservin. scheme.

关键词： Fin.te differen.e Reverse time migration Source wavefield recon.truction Implicit Staggered grid

In.luen.e of phen.l on.ammon.a removal in.an.in.ermitten. aeration.bioreactor treatin. biologically pretreated coal gasification.wastewater

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Journ.l of En.iron.en.al Scien.es 2016年第5期28卷 99-105页

作者： Chun.an.Xu Hon.jun.Han.Shen.yon. Jia qian Zhao State Key Laboratory of Urban.Water Resource an. En.iron.en. Harbin Institute of Technology

A laboratory-scale in.ermitten. aeration.bioreactor was in.estigated to treat biologically pretreated coal gasification.wastewater that was main.y composed of n._3-n.an. *** results showed that in.reasin. phen.l loadin. had an.adverse effect on.n._3-n.removal;the con.en.ration.in.effluen. at phen.l loadin. of 40 mg phen.l/（L·day） was 7.3 mg/L, 36.3%of that at 200 mg phen.l/（L·day）. The en.yme ammon.a mon.oxygen.se showed more sen.itivity than.hydroxylamin. oxidoreductase to the in.ibitory effect of phen.l, with32.2% an. 10.5% activity in.ibition. respectively at 200 mg phen.l/（L·day）. Owin. to in.ermitten. aeration.con.ition., n.tritation.type n.trification.an. simultan.ous n.trification.an. den.trification.Sn.） were observed, givin. a maximum Sn. efficien.y of 30.5%.Addition.lly, ammon.a oxidizin. bacteria（AOB） an. den.trifyin. bacteria were the main.group iden.ified by fluorescen. in.situ hybridization. However, their relative abun.an.e represen.ed opposite variation. as phen.l loadin. in.reased, ran.in. from 30.1% to 17.5%an. 7.6% to 18.2% for AOB an. den.trifyin. bacteria, respectively.

关键词： Coal gasification.wastewater n.tritation.type n.trification.Den.trification.Fluorescen. in.situ hybridization.Phen.l

Effects of culture con.ition. on.lign.n.lytic en.ymes an. protease production.by Phan.rochaete chrysosporium in.air

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Journ.l of En.iron.en.al Scien.es 2008年第1期20卷 94-100页

作者： XIOn. Xiaopin. WEn.Xian.hua BAI Yan.n.qian Yi State Key Join. Laboratory of En.iron.en.al Simulation.an. Pollution.Con.rol Department of Environmental Science and Engineering Tsinghua University Beifing 100084 China.

The production.of lign.n.lytic en.ymes an. protease by Phan.rochaete chrysosporium was in.estigated un.er differen. culture con.ition.. Differen. amoun.s of medium were employed in.free an. immobilized culture, together with two kin.s of medium with differen. C/n.ratios. Little lign.n.peroxidase （LIP）（〈 2 U/L） was detected in.free culture with n.trogen.limited medium （C/n.ratio： 56/2.2, in.mmol/L）, while man.an.se peroxidase （Mn.） maximum activity was 231 an. 240 U/L in.50 an. 100 ml medium culture, respectively. Immobilized culture with 50 ml n.trogen.limited medium gave the highest Mn. an. LiP production.with the maximum values of 410 an. 721 U/L separately on.the day 5; however, flasks con.ain.n. 100 ml n.trogen.limited medium on.y produced less Mn. with a peak value of 290 U/L. Comparatively, carbon.limited medium （C/n.ratio： 28/44, in.mmol/L） was adopted in.culture but produced little Mn. an. LiE Medium type had the greatest impact on.protease production. Large amoun. of protease was produced due to glucose limitation. Culture type an. medium volume in.luen.e protease activity corporately by affectin. oxygen.supply. The results implied shallow immobilized culture was a possible way to gain.high production.of lign.n.lytic en.ymes.

关键词： protease culture con.ition. lign.n.lytic en.ymes Phan.rochaete chrysosporiurn

Glycation.of high-den.ity lipoprotein.triggers oxidative stress an. promotes the proliferation.an. migration.of vascular smooth muscle cells

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Journ.l of Geriatric Cardiology 2017年第7期14卷 473-480页

作者： qian DU Min.-Min. qian Pin.Li LIU Le ZHAn. Yan.WAn. Don.-Hui LIU Departmen. of Cardiology the Affiliated Cardiovascular Hospital of Xiamen University Medical College of Xiamen University Xiamen China Departmen. of En.ocrin.logy the Second Hospital of Hebei Medical University Shijiazhuang China

Backgroun. In.type 2 diabetes mellitus （T2DM）, high-den.ity lipoprotein.（HDL） impairs its an.i-atherogen.c properties an. even.develops to a pro-in.lammatory an. pro-atherogen.c phen.type because of abn.rmal composition. an. modification.. In.this study, we ex- amin.d the effects an. the related mechan.sms of glycation.of HDL on.the proliferation.an. migration.of vascular smooth muscle cells （VSMCs）. Methods ＆ Results Glycated HDL （G-HDL） was modified with D-glucose （25 mmol/L） in.vitro. Diabetic HDL （D-HDL） was isolated from T2DM patien.s. Rat VSMCs were isolated from the thoracic aortas. Human.VSMCs were obtain.d from Scien.ell Research Laboratories. Alpha-actin.was detected through immun.fiuorescen.e. VSMC proliferation.was assayed by Cell Coun.. VSMC migration.was determin.d by tran.well chamber an. scratch-woun. assay. In.racellular reactive oxygen.species （ROS） was detected based on.ROS-medi- ated 2＇,7＇-dichlorofluorescein.（DCFH-DA） fluorescen.e. Compared to n.tive HDL （n.HDL）, G-HDL remarkably promoted VSMC prolif- eration.an. migration.in.the dose an. time-depen.en. man.ers. In.addition. G-HDL en.an.ed ROS gen.ration.in.VSMCs. However, the ROS scaven.er, n.acetylcystein., efficien.ly decreased ROS production.an. subsequen.ly in.ibited the proliferation.of VSMCs in.uced by G-HDL. Similarly, D-HDL from T2DM patien.s also promoted ROS release an. VSMC proliferation.an. migration. Con.lusion. HDL either glycated in.vitro or isolated from T2DM patien.s triggered VSMC proliferation. migration. an. oxidative stress. These results might partly in.erpret the higher morbidity of cardiovascular disease in.T2DM patien.s.

关键词： High-den.ity lipoprotein Glycation Migration Proliferation Vascular smooth muscle cells

Separation.of methyl lin.len.te an. its an.logues by fun.tion.l mixture of imidazolium based ion.c liquid-organ.c solven.-cuprous salt

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Chin.se Journ.l of Chemical En.in.erin. 2019年第4期27卷 811-817页

作者： Xian.hon. Lu Jiajian.Zhu Xin. qian Jian.in. Ji Zhejian. Provin.ial Key Laboratory of Biofuel College of Chemical EngineeringZhejiang University of Technology

Methyl lin.len.te was separated from its an.logues by a n.w extraction.system con.tructed by solven.,imidazolium based ion.c liquids an. cuprous salt. Firstly, the effect of ion.c liquid on.the dissolution.of CuCl in.aceton.trile, n.n.dimethylformamide(DMF), methan.l an. water was evaluated by visual observation.[C4Mim][Cl]can.improve the dissolution.of CuCl in.aceton.trile. Then. for the n.w system as aceton.trile-ILs-CuCl, extraction.equilibrium, distribution.ratio an. selectivity of methyl lin.len.te an. its an.logues were determin.d by gas chromatography an.lysis an. the mass balan.e. The extraction.time, IL structures an. CuCl con.en.ration. were in.estigated. Distribution.ratio decreased slightly, but selectivity in.reased sign.fican.ly with the addition.of CuCl,[C4Mim][Cl] or [C4Vim][n.F2] in.o aceton.trile.[C4Vim][n.F2] had higher selectivity than.[C4Mim][Cl].But the selectivity of the system combin.n. CuCl with [C4Vim][n.F2] was much lower than.with [C4 Mim][Cl].For the CuCl-[C4Mim][Cl]-aceton.trile, the extraction.efficien.y was better than.CuCl-aceton.trile, in.reasin. Cu^+ con.en.ration.effectively improved the separation.selectivity when.ratio of CuCl/[C4Mim][Cl] was less than.1. Compared with previous aqueous Agn.3 extraction., the method of usin. CuCl is a much cheaper an. practical way to en.ich un.aturated fatty acid.

关键词： Methyl lin.len.te Cuprous salt Ion.c liquid Cosolven. Extraction