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PEO/Cofactor助留体系应用于ONP/OMG脱墨浆生产纸材料 被引量:4
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作者 刘全校 张勇 +1 位作者 曹国荣 许文才 《包装工程》 CAS CSCD 北大核心 2006年第4期65-67,70,共4页
介绍了PEO/Cofactor助留体系应用于ONP/OMG脱墨浆生产纸材料。实验结果表明:PEO/Cofactor助留体系对以ONP/OMG脱墨浆为主要纤维原料的助留作用效果良好,并可有效控制浆料中的树脂。脱墨浆中的水溶性杂质和非离子性表面活性剂不利于PEO/C... 介绍了PEO/Cofactor助留体系应用于ONP/OMG脱墨浆生产纸材料。实验结果表明:PEO/Cofactor助留体系对以ONP/OMG脱墨浆为主要纤维原料的助留作用效果良好,并可有效控制浆料中的树脂。脱墨浆中的水溶性杂质和非离子性表面活性剂不利于PEO/Cofactor助留体系的作用效果的发挥;PEO/Cofactor助留体系与阳离子壳聚糖共用时,效果更好。PEO/Cofactor助留体系对细小组分的留着没有选择性。 展开更多
关键词 PEO/cofactor助留体系 ONP/OMG脱墨浆 纸材料
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Iron overload and cofactors with special reference to alcohol,hepatitis C virus infection and steatosis/insulin resistance 被引量:5
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作者 Yutaka Kohgo Katsuya Ikuta +2 位作者 Takaaki Ohtake Yoshihiro Torimoto Junji Kato 《World Journal of Gastroenterology》 SCIE CAS CSCD 2007年第35期4699-4706,共8页
There are several cofactors which affect body iron metabolism and accelerate iron overload. Alcohol and hepatic viral infections are the most typical examples for clarifying the role of cofactors in iron overload. In ... There are several cofactors which affect body iron metabolism and accelerate iron overload. Alcohol and hepatic viral infections are the most typical examples for clarifying the role of cofactors in iron overload. In these conditions, iron is deposited in hepatocytes and Kupffer cells and reactive oxygen species (ROS) produced through Fenton reaction have key role to facilitate cellular uptake of transferrin-bound iron. Furthermore, hepcidin, antimicrobial peptide produced mainly in the liver is also responsible for intestinal iron absorption and reticuloendothelial iron release. In patients with ceruloplasmin deficiency, anemia and secondary iron overload in liver and neurodegeneration are reported. Furthermore, there is accumulating evidence that fatty acid accumulation without alcohol and obesity itself modifies iron overload states. Ineffective erythropoiesis is also an important factor to accelerate iron overload, which is associated with diseases such as thalassemia and myelodysplastic syndrome. When this condition persists, the dietary iron absorption is increased due to the increment of bone marrow erythropoiesis and tissue iron overload will thereafter occurs. In porphyria cutanea tarda, iron is secondarily accumulated in the liver. 展开更多
关键词 Iron overload cofactorS ALCOHOL Chronic hepatic C Non-alcoholic steatohepatitis Insulin resistance Hepatocellular carcinoma
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Creation of cytochrome P450 catalysis depending on a non-natural cofactor for fatty acid hydroxylation
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作者 Qing Li Xiaojia Guo +4 位作者 Xueying Wang Junting Wang Li Wan Haizhao Xue Zongbao K.Zhao 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2023年第4期31-36,共6页
Cytochrome P450 enzymes catalyze diverse oxidative transformations at the expense of reduced nicotinamide adenine dinucleotide phosphate(NADPH),however,their applications remain limited largely because NADPH is cost-p... Cytochrome P450 enzymes catalyze diverse oxidative transformations at the expense of reduced nicotinamide adenine dinucleotide phosphate(NADPH),however,their applications remain limited largely because NADPH is cost-prohibitive for biocatalysis at scale yet tightly regulated in host cells.A highly challenging task for P450 catalysis has been to develop an alternative and biocompatible electrondonating system.Here we engineered P450 BM3 to favor reduced nicotinamide cytosine dinucleotide(NCDH)and created non-natural cofactor-dependent P450 catalysis.Two outstanding mutants were identified with over 640-fold NCDH preference improvement and good catalytic efficiencies of over15,000 M^(-1)s^(-1)for the oxidation of the fatty acid probe 12-(para-nitrophenoxy)-dodecanoate.Molecular docking analysis indicated that these mutants bear a compacted cofactor entrance.Upon fusing with an NCD-dependent formate dehydrogenase,fused proteins functioned as NCDH-specific P450catalysts by using formate as the electron donor.Importantly,these mutants and fusions catalyzed NCDH-dependent hydroxylation of fatty acids with similar chain length preference to those by natural P450 BM3 in the presence of NADPH and also similar regioselectivity for subterminal hydroxylation of lauric acid.As P450 BM3 and its variants are catalytically powerful to take diverse substrates and convey different reaction paths,our results offer an exciting opportunity to devise advanced cell factories that convey oxidative biocatalysis with an orthogonal reducing power supply system. 展开更多
关键词 Biocatalysis Cytochrome P450 Directed evolution Fatty acid hydroxylation Non-natural cofactor Synthetic biology
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Studies on Chem icalCom position ofIron-m olybdenum Cofactor fromNitrogenase by Fluorescence Analysis
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作者 ZHANG Feng-zhang XU Liang-shu +3 位作者 HUANG He-qing LONG Min-nan QIU Xue-hui CHEN Zhong 《Chemical Research in Chinese Universities》 SCIE CAS CSCD 1999年第3期286-293,共8页
The iron molybdenum cofactor(FeMoco) of nitrogenase MoFe protein from Azotobacter vinelandii OP was extracted by N methylformamide(NMF). The effects of FeMoco(in NMF) on electronic spectrum and fluorescence... The iron molybdenum cofactor(FeMoco) of nitrogenase MoFe protein from Azotobacter vinelandii OP was extracted by N methylformamide(NMF). The effects of FeMoco(in NMF) on electronic spectrum and fluorescence intensity of fluorescein dimercury acetate(FDMA)(in 1 mol/L NaOH) were investigated by fluorophotometric titrations and compared with those of (NH 4) 2MoS 4 and complexes of (NH 4) 2MoS 4 with Na 2S or Na 2S 2 or (NH 4) 2S x on the relative properties of FDMA. It was found that the electronic spectrum of FDMA displayed hypsochromic shift(17 nm) in the presence of FeMoco just like that in the presence of other inorganic sulfides and that the titration curve for the quench of FDMA with FeMoco is very similar to that for the quench of FDMA with complex of (NH 4) 2MoS 4 with Na 2S 2(mole ratio is 1∶3). The results showed that FeMoco(N) probably contained S—S bonds and its structure was found to be changed compared with Kim Rees structural model. This change should profit the formation of the polymer. 展开更多
关键词 NITROGENASE Iron molybdenum cofactor Fluorophotometric titration Structural change
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DECOMPOSITION THEOREM AND k-HYPERCONNECTION EXPRESSIONS FOR GENERAL k-ORDER COFACTORS
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作者 黄汝激 《Journal of Electronics(China)》 1991年第4期307-316,共10页
Two k-hyperconnection expressions of a general k-order cofactor Y<sub>(i,j)</sub> are presentedfor the indefinite parameter matrix Y of a linear system by applying directed hypergraph theory,and based on... Two k-hyperconnection expressions of a general k-order cofactor Y<sub>(i,j)</sub> are presentedfor the indefinite parameter matrix Y of a linear system by applying directed hypergraph theory,and based on it a decomposition theorem of Y<sub>(i,j)</sub> is derived.By this theorem,the multi-leveltearing and analysis can be carried out easily for any linear large system.This is a new mul-tilevel topological analysis method.Using proposed method the scale of systems which can betopologically analysed by a computer will be enlarged. 展开更多
关键词 Directed hypergrsph theory k-Order cofactor k-Hyperconnection MULTILEVEL TOPOLOGICAL analysis
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The roles of tubulin-folding cofactors in neuronal morphogenesis and disease
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作者 Misako Okumura Masayuki Miura Takahiro Chihara 《Neural Regeneration Research》 SCIE CAS CSCD 2015年第9期1388-1389,共2页
Microtubules play important roles in neuronal morphogenesis, including cellular polarization, neurite growth, and branching. A microtubule is a polymer of a- and β-tubulin heterodimers that are formed by a multistep ... Microtubules play important roles in neuronal morphogenesis, including cellular polarization, neurite growth, and branching. A microtubule is a polymer of a- and β-tubulin heterodimers that are formed by a multistep process assisted by at least five tubulin-fold- ing cofactors (TBCA-E) (Lopez-Fanarraga et al., 2001). Newly syn- thesized α- and β-tubulins associate with the cytosolic chaperonin complex (CCT), and then the quasi-native tubulins interact with five tubulin-folding cofactors. The α- and β-tubulins first interact with TBCB and TBCA, which are further transferred to TBCE and TBCD, respectively. The α- and β-tubulins, TBCC, TBCD, and TBCE form a supercomplex, and guanosine triphosphate (GTP) hydrolysis occurs within the supercomplex, releasing a tubulin heterodimer. In addition to their functions in tubulin folding and tubulin heterodimer formation, excess amounts of TBCD or TBCE may interact with tubulin heterodimers, leading to their degrada- tion. Thus, tubulin-folding cofactors may play a role in both the synthesis and degradation of tubulin heterodimers. 展开更多
关键词 The roles of tubulin-folding cofactors in neuronal morphogenesis and disease Figure
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Study of Cofactors Associated with Precancerous High-Grade Cervical Lesions at the Teaching Hospital Gabriel Touré, 2010 to 2015
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作者 Fané Seydou Bocoum Amadou +8 位作者 Sissoko Abdoulaye Traoré Soumana Oumar Sanogo Siaka Amara Mamadou Sima Kouma Aminata Traoré Alassane Tegueté Ibrahima Traoré Youssouf Mounkoro Niani 《Surgical Science》 2019年第9期328-337,共10页
Introduction: High grade dysplasia of the cervix has a high incidence and can progress to cervical cancer. The aim was to study cofactors associated with high-grade cervical dysplasia. Methodology: This was a retrospe... Introduction: High grade dysplasia of the cervix has a high incidence and can progress to cervical cancer. The aim was to study cofactors associated with high-grade cervical dysplasia. Methodology: This was a retrospective case-control study without matching. Women with high grade dysplasia were the cases while those with a normal screening test represented the controls. The study took place at the Gabriel Touré University Hospital Center in Bamako. We included 351 cases and 420 controls. The capture and analysis were performed using the SPSS 20 software. A univariate and multivariate logistic regression analysis was performed for the analysis of risk cofactors. The statistical tests used were the odds ratio and its confidence interval and the statistical significance threshold was set at p Results: In univariate analysis, the co-factors statistically significantly associated with the occurrence of high-grade dysplasia were parity 0.6 (0.5 - 0.9), gestational 0.7 (0.5 - 0.9), smoking of the spouse 3.4 (1.1 - 11.3), the non-schooling 1.4 (1.2 - 2.1). In multivariate analysis after adjusting for confounding factors, two co-factors have significantly increased the risk of high-grade dysplasia: lack of schooling 1.4 (1.2 - 2.0) and polygamy 1.5 (1.4 - 2.5). Conclusion: At the end of this study, polygamy and lack of schooling were the main risk factors. The prevention of cervical cancer will go through the education of girls and women as well as communication for behavioral change and social change. 展开更多
关键词 High Grade Dysplasia cofactor Cervical Cancer Teaching Hospital GABRIEL Touré
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Factors Affecting Fines Flocculation Performance with Cofactor-Polyethylene Oxide
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作者 M. R. Abdallah Qasaimeh Ahmad Qasaimeh F. Bani Hani 《Advances in Chemical Engineering and Science》 2014年第1期49-55,共7页
In literature, neutral polyethylene oxide (PEO) flocculated fines at low shear rates, while with cofactor (CF) addition, the formed CF-PEO complex showed larger ability to bridge fines, producing flocs. In this work, ... In literature, neutral polyethylene oxide (PEO) flocculated fines at low shear rates, while with cofactor (CF) addition, the formed CF-PEO complex showed larger ability to bridge fines, producing flocs. In this work, some process factors were found having significant effects on fines flocculation. Increases in CF to PEO ratio at constant PEO enhanced the bridging bonds, causing increases in flocculation initial rate (efficiency), amplitude (floc size), and fastness (a decrease in characteristic time). On the other hand, an increase in stirring rate (shear rate) in flocculation vessel caused decreases in initial rate and amplitude, and an increase in the fastness. All runs showed transient flocculation;the amplitude increased with time, reached maximum at equilibrium, and then started to decrease showing deflocculation. In brief, the CF to PEO ratio and the shear rate were found important parameters in mill operation, having significant effects on flocculation efficiency, fastness, and floc size. 展开更多
关键词 POLYETHYLENE Oxide cofactor FLOCCULATION SHEARING and BRIDGING
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牛蜘蛛腿综合征两个致病位点检测方法的建立 被引量:5
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作者 初芹 焦士会 +13 位作者 王雅春 刘林 刘爱荣 吴宏军 谢振全 侯诗宇 耿繁军 汪聪勇 黄锡霞 谭世新 谈锐 张毅 俞英 张沅 《遗传》 CAS CSCD 北大核心 2013年第5期623-627,共5页
牛蜘蛛腿综合征(Arachnomelia syndrome,AS)是一种隐性遗传疾病,虽然在瑞士褐牛和西门塔尔牛中症状相同,然而却是由两个不同的基因突变引起的,分别是SUOX基因c.363-364insG突变和MOCS1基因c.1224_1225delCA突变。文章利用51头西门塔尔牛... 牛蜘蛛腿综合征(Arachnomelia syndrome,AS)是一种隐性遗传疾病,虽然在瑞士褐牛和西门塔尔牛中症状相同,然而却是由两个不同的基因突变引起的,分别是SUOX基因c.363-364insG突变和MOCS1基因c.1224_1225delCA突变。文章利用51头西门塔尔牛及80头与配母牛和106头杂交后代,以及55头新疆褐牛公牛为研究群体,通过荧光标记引物PCR扩增结合毛细管电泳技术,建立了一种荧光自动化检测方法,能够快速、准确、一次性实现对引起牛AS疾病的两个突变位点的同时检测,为今后我国牛群中AS致病位点的筛查工作奠定了基础。 展开更多
关键词 蜘蛛腿综合征 西门塔尔牛 褐牛 SULFITE OXIDASE gene(SUOX) MOLYBDENUM cofactor synthesis STEP 1 gene(MOCS1)
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手性化合物酶法制备中辅酶再生体系的构建与应用进展 被引量:3
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作者 彭益强 张曙伟 《化工进展》 EI CAS CSCD 北大核心 2014年第7期1826-1831,共6页
辅酶的再生与反复利用对氧化还原型生物催化剂在手性化合物中的生产具有重要作用。辅酶的酶催化法再生具有高效、专一的特点,根据其催化环境可分为单细胞内辅酶再生体系、双细胞耦合体系及胞外酶耦合体系。本文详细阐述了酶法再生中各... 辅酶的再生与反复利用对氧化还原型生物催化剂在手性化合物中的生产具有重要作用。辅酶的酶催化法再生具有高效、专一的特点,根据其催化环境可分为单细胞内辅酶再生体系、双细胞耦合体系及胞外酶耦合体系。本文详细阐述了酶法再生中各种辅酶再生体系的构建方法,特别指出了辅酶再生体系使用中可能遇到的问题并给出了解决方法,如利用离子液体解决有机底物低水溶性的问题,利用共价固定方法解决小分子辅酶的留存问题,无细胞抽提液中内源性辅酶再生酶的利用等。除此之外,对每种辅酶再生方法与体系在工业催化中应用的优势与局限性作了评述,特别关注了辅酶再生体系反复多批次利用的问题。 展开更多
关键词 手性化合物 辅酶再生体系 酶耦合反应 细胞耦合 内源性辅酶再生酶
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余因子系与公因子分次判别准则 被引量:4
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作者 王晓辉 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2006年第4期1-5,共5页
引进了余因子系的概念,并利用余因子系给出一种惟一分解环上多项式系公因子存在性的分次判别准则,为在计算代数几何等领域的深入应用提供了理论依据.
关键词 惟一分解环 余因子系 分次判别准则
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余因子系的等价定义与树形表示 被引量:1
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作者 王晓辉 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2007年第3期8-11,共4页
利用图论的方法,讨论了余因子系的性质,分析了余因子系的等价定义,给出了几种重要的等价形式.并利用树的特殊结构,给出了余因子系的树形表示,为引入多项式系各种形式的结式矩阵做了理论准备.
关键词 惟一分解环 余因子系 完全图 支撑树
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Recent advance of chemoenzymatic catalysis for the synthesis of chemicals: Scope and challenge 被引量:2
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作者 Mengjiao Xu Zhuotao Tan +3 位作者 Chenjie Zhu Wei Zhuang Hanjie Ying Pingkai Ouyang 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2021年第2期146-167,共22页
Chemoenzymatic catalysis can give full play to the advantages of versatile reactivity of chemocatalysis and excellent chemo-,regio-,and stereoselectivities of biocatalysis.These chemoenzymatic methods can not only sav... Chemoenzymatic catalysis can give full play to the advantages of versatile reactivity of chemocatalysis and excellent chemo-,regio-,and stereoselectivities of biocatalysis.These chemoenzymatic methods can not only save resource,cost,and operating time but also reduce the number of reaction steps,and avoid separating unstable intermediates,leading to the generation of more products under greener circumstances and thereby playing an indispensable role in the fields of medicine,materials and fine chemicals.Although incompatible challenges between chemocatalyst and biocatalyst remain,strategies such as biphasic system,artificial metalloenzymes,immobilization or supramolecular host,and protein engineering have been designed to overcome these issues.In this review,chemoenzymatic catalysis according to different chemocatalysis types was classifiably described,and in particular,the classic dynamic kinetic resolutions(DKR)and cofactor regeneration were summarized.Finally,the bottlenecks and development of chemoenzymatic catalysis were summarized,and future development was prospected. 展开更多
关键词 CHEMOENZYMATIC Dynamic kinetic resolution cofactor regeneration BIOCATALYSIS Chemocatalysis
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二维1:-5 Lotka-Volterra复四次系统的可线性化条件(英文) 被引量:1
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作者 胡召平 张超 《上海师范大学学报(自然科学版)》 2017年第3期442-452,共11页
本文考虑了如下的一类平面四次复Lotka-Volterra系统的可线性化问题=x(1-a_(30)x^3-a_(21)x^2y-a_(12)xy^2-a_(03)y^3),=-y(5-b_(30)x^3-b_(21)x^2y-b_(12)xy^2-b_(03)y^3).该系统为四次齐次多项式扰动下的具有1:-5线性项的复Lotka-... 本文考虑了如下的一类平面四次复Lotka-Volterra系统的可线性化问题=x(1-a_(30)x^3-a_(21)x^2y-a_(12)xy^2-a_(03)y^3),=-y(5-b_(30)x^3-b_(21)x^2y-b_(12)xy^2-b_(03)y^3).该系统为四次齐次多项式扰动下的具有1:-5线性项的复Lotka-Volterra系统,给出了该系统可线性化的充分必要条件. 展开更多
关键词 多项式系统 可线性化 不变曲线 余因式
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A kind of bivariate spline space over rectangular partition and pure bending of thin plate 被引量:1
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作者 王仁宏 常锦才 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2007年第7期963-971,共9页
The mechanical background of the bivariate spline space of degree 2 and smoothness 1 on rectangular partition is presented constructively. Making use of mechanical analysis method, by acting couples along the interior... The mechanical background of the bivariate spline space of degree 2 and smoothness 1 on rectangular partition is presented constructively. Making use of mechanical analysis method, by acting couples along the interior edges with suitable evaluations, the deflection surface is divided into piecewise form, therefore, the relation between a class of bivariate splines on rectangular partition and the pure bending of thin plate is established. In addition, the interpretation of smoothing cofactor and conformality condition from the mechanical point of view is given. Furthermore, by introducing twisting moments, the mechanical background of any spline belong to the above space is set up. 展开更多
关键词 smoothing cofactor conformality condition pure bending of thin plate
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The Insphere of a Tetrahedron 被引量:1
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作者 Peter Paul Klein 《Applied Mathematics》 2020年第7期601-612,共12页
A contiguous derivation of radius and center of the insphere of a general tetrahedron is given. Therefore a linear system is derived. After a transformation of it the calculation of radius and center can be separated ... A contiguous derivation of radius and center of the insphere of a general tetrahedron is given. Therefore a linear system is derived. After a transformation of it the calculation of radius and center can be separated from each other. The remaining linear system for the center of the insphere can be solved after discovering the inverse of the corresponding coefficient matrix. This procedure can also be applied in the planar case to determine radius and center of the incircle of a triangle. 展开更多
关键词 Corkscrew Rule Hesse Normal Form Decomposed Linear system Block Upper Triangular Form of Coefficient Matrix cofactor Matrix
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代谢工程改造黑曲霉生产葡萄糖二酸 被引量:1
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作者 郭宇飞 闫荣媚 +2 位作者 张小茹 曹威 刘浩 《生物技术通报》 CAS CSCD 北大核心 2022年第11期227-237,共11页
葡萄糖二酸是葡萄糖的一种二元羧酸衍生物,是重要的平台化合物,被应用于医药、化工等领域。本研究以黑曲霉为底盘细胞,通过表达来自恶臭假单胞菌Pseudomonas putida KT2440的糖醛酸脱氢酶基因ppudh,成功在黑曲霉中实现了葡萄糖二酸的合... 葡萄糖二酸是葡萄糖的一种二元羧酸衍生物,是重要的平台化合物,被应用于医药、化工等领域。本研究以黑曲霉为底盘细胞,通过表达来自恶臭假单胞菌Pseudomonas putida KT2440的糖醛酸脱氢酶基因ppudh,成功在黑曲霉中实现了葡萄糖二酸的合成,产量为18.74 mg/L;在此基础上通过共过表达黑曲霉自身来源的肌醇加氧酶(anmioxA)和肌醇-1-磷酸合酶(aninoA)、酿酒酵母Saccharomyces cerevisiae S288C来源的羧酸转运蛋白(scJEN1),强化了合成通路和外泌途径,将产量提高至102.10 mg/L;通过表达来自乳酸乳球菌Lactococcus lactis subsp.cremoris MG1363的NADH氧化酶(llnox),建立NAD~+辅因子循环系统,使产量进一步提高至115.65 mg/L;利用RNA干扰技术对竞争支路中的关键酶磷酸果糖激酶(pfkA)和葡萄糖-6-磷酸脱氢酶(zwf)进行弱化表达,葡萄糖二酸最终的产量达到313.65 mg/L。本研究为微生物高效生产葡萄糖二酸和下游相关产品生产奠定基础。 展开更多
关键词 葡萄糖二酸 黑曲霉 辅因子循环系统 RNA干扰
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The theoretical study of one-carbon unit transfer with H_2O participation from imidazolidine to dUMP analogue
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作者 Chuan Song Qi Wei Li +1 位作者 Xin Min Wu Lei Xu 《Chinese Chemical Letters》 SCIE CAS CSCD 2007年第9期1159-1162,共4页
The ONIOM quantum mechanics method is used to study the reaction of one-carbon unit transfer from an imidazolidine to 6- aminouracil model with the participation of water molecules.The computation results show that in... The ONIOM quantum mechanics method is used to study the reaction of one-carbon unit transfer from an imidazolidine to 6- aminouracil model with the participation of water molecules.The computation results show that in this reaction the participation of H_2O molecule makes the energy barrier lower because of the H-bond interaction. 展开更多
关键词 Folate cofactor One-carbon unit transfer ONIOM DUMP dTMP
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DFT Study on One-carbon Unit Transfer from 1,10-CH^+- tetrahydroquinoxaline to Methylamine
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作者 Chuan Song QI Da Cheng FENG +1 位作者 Hua Yang WANG Zheng Ting CAI 《Chinese Chemical Letters》 SCIE CAS CSCD 2003年第1期72-75,共4页
Density Functional Theory (DFT) method was used in this paper to study one-carbon transfer from 1,10-tetrahydroquinoxaline, an analogue of tetrahydrofolic acid, to methylamine. This reaction can be completed via two ... Density Functional Theory (DFT) method was used in this paper to study one-carbon transfer from 1,10-tetrahydroquinoxaline, an analogue of tetrahydrofolic acid, to methylamine. This reaction can be completed via two paths. From the computation result we can conclude that a general-acid catalysis exists in this reaction. By computation we find DFT has its limitation in describing a newly incorporated structure with a unit charge. 展开更多
关键词 Density Functional Theory (DFT) folate cofactor tetrahydroquinoxaline one-carbon unit transfer.
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THE PROOF OF FERMAT'S LAST THEOREM
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作者 汪家訸 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 1996年第11期1031-1038,共8页
i) Instead of x ̄n+ y ̄n = z ̄n ,we use as the general equation of Fermat's Last Theorem (FLT),where a and b are two arbitrary natural numbers .By means of binomial expansion ,(0.1) an be written as Because a ̄... i) Instead of x ̄n+ y ̄n = z ̄n ,we use as the general equation of Fermat's Last Theorem (FLT),where a and b are two arbitrary natural numbers .By means of binomial expansion ,(0.1) an be written as Because a ̄r-(-b) ̄r always contains a +b as its factor ,(0.2) can be written as where φ_r =[a ̄r-(-b) ̄r]/ (a+b ) are integers for r=1 . 2, 3. ...n (ii) Lets be a factor of a+b and let (a +b) = se. We can use x= sy to transform (0.3 ) to the following (0.4)(iii ) Dividing (0.4) by s ̄2 we have On the left side of (0.5) there is a polynomial of y with integer coefficient and on the right side there is a constant cφ/s .If cφ/s is not an integer ,then we cannot find an integer y to satisfy (0.5), and then FLT is true for this case. If cφ_n/s is an integer ,we may change a and c such the cφ_n/s≠an integer . 展开更多
关键词 FACTORIZATION cofactor relative prime gcd combination.algebraic division. Fermat's Last Theorem
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