一类多分子生化反应系统的极限环

应用微分方程定性理论,研究了生化反应中一类多分子一级饱和反应的数学模型的极限环的存在性、不存在性和唯一性问题．     

一类一级饱和反应系统的极限环

本文研究生化反应中一类饱和反应的数学模型：应用微分方程定性理论,完整地解决了该系统极限环的存在性、唯一性和不存在性等问题．     

具有一般形式饱和接触率SEIS模型的周期解

利用重合度的延拓定理,导出了具有一般形式饱和接触率SEIS模型周期解的存在性准则.     

一类可逆多分子饱和生化反应系统的非线性分析

研究生化反应中一类可逆多分子饱和反应系统x=a-xy^n cy^n 1,y=xy^n-cy^n 1-dy／(y 6),应用微分方程定性理论,完整的解决了该系统极限环的存在性、不存在性和唯一性问题。     

可逆两分子饱和反应动力系统的极限环

研究生化反应中一类可逆两分子饱和反应的数学模型dx/dt＝δ-xy cy^2,dy/dt=xy-cy^2-ay/b b,应用微分方程定性理论,完整地解决了该系统极限环的存在性,不存在性和唯一性。     

具有捕食者饱和与竞争捕食模型解的存在性与唯一性（英文）

在本文中,我们考虑一类在Dirichlet边界条件下具有饱和与竞争项捕食模型的正解存在性.首先利用标准的不动点指数理论建立了正解的存在性和存在的充分必要条件.特别地,通过数学分析与积分不等式的技巧,得到了正解的唯一性。     

一类生化反应系统的定性分析

研究如下一类具米氏（Michalis）反应速度的化学反应模型dX/dt=A-BX-XY~2,dY/dt BX XY~2-υY/k Y'其中A,B,v及k为正常数,应用微分方程定性理论,在一定条件下研究了上述系统极限环的存在性,不存在性及唯一性问题．     

一类具有时滞和治愈率的HIV病理模型的稳定性

研究一类具有饱和感染率、治愈率和细胞内时滞的HIV病理模型.首先分析平衡态的存在性与稳定性,然后给出染病平衡态对于任意时滞保持稳定（不稳定）的充分条件,并利用Nyquist准则度量染病平衡点保持稳定的时滞长度.     

透性化嗜酸乳杆菌细胞转化亚油酸为共轭亚油酸的反应动力学

本实验旨在研究透性化嗜酸乳杆菌细胞生物转化共轭亚油酸的反应动力学。探讨了细胞浓度、底物浓度、反应体系pH值和温度等因素对生物转化共轭亚油酸反应速度的影响;建立了透性化嗜酸乳杆菌细胞生物转化共轭亚油酸的动力学模型。结果表明,透性化嗜酸乳杆菌细胞有利于共轭亚油酸的生物转化,最适细胞浓度、pH值和反应温度分别为10×1010ufc/mL、4.5和45℃;生物转化共轭亚油酸存在底物抑制现象,当亚油酸的浓度为0.6mg/mL时,反应速度达到最大值17.8μg/(mL·min)。在低亚油酸浓度下,反应初始阶段的反应规律与经典米氏方程相符,而在高亚油酸浓度下,存在底物抑制现象。在最适反应条件下建立了动力学模型,模型基本反映了共轭亚油酸的生物转化特性。     

金属离子对GTP结合蛋白Cdc42Hs的内源性GTP酶活性的影响

不同的金属离子会对GTP结合蛋白Cdc42Hs的内源性GTP水解酶活性产生不同的影响。相对于生理条件下的辅基Mg^2 而言,Mn^2 对Cdc42Hs酶活力有所激活,表现在饱和浓度时,实验曲线指数项的表观速率常数kobs有2倍左右的提高,而其稳态反应速度要低于Mg^2 。Mg^2 和Mn^2 的实验曲线在本质上没有什么差别,都是一个指数项和一个一次项的叠加,说明Mn^2 和Mg^2 以相似的机制结合于Cdc42Hs。在Ca^2 存在时,实验曲线无明显的指数项出现,Ca^2 的存在仅使稳态反应速度有所,说明Ca^2 以不同于Mg^2 和Mn^2 的机理与Cdc42Hs结合,随着Mg^2 和Mn^2 离子浓度的增大,指数项的表观速率常数kobs逐步升高,稳态反应速度vs逐渐降低,进一步的动力学模型分析得到了这一反应的微观动力学数学和Mg^2 、Mn^2 与蛋白的结合常数。     

Enzymatic synthesis of the precursor of Leu-enkephalin in water-immiscible organic solvent systems.

The precursor of Leu-enkephalin, Z-L-TyrGlyGly-L-Phe-L-LeuOEt, was synthesized from amino acid derivatives with three proteinases without the protection of the side chain of L-Tyr. First, Z-GlyGlyOBut and Z-L-TyrGlyGlyOBut were synthesized in quite a high yield, 83% and 99%, in an aqueous/organic biphasic system by papain and alpha-chymotrypsin, respectively. Then, Z-L-Phe-L-LeuOEt was synthesized by thermolysin from Z-L-Phe and L-LeuOEt either in buffer or in a biphasic system; the yields were 95% and 100%, respectively. The synthesis of Z-L-TyrGlyGly-L-Phe-L-LeuOEt from Z-L-TyrGlyGly and L-Phe-L-LeuOEt was performed effectively by thermolysin immobilized on Amberlite XAD-7 in a buffer and in an aqueous/organic biphasic system, as well as in saturated ethyl acetate, while the yield was low in reactions by free thermolysin. In the reaction with the immobilized enzyme (IME) in saturated ethyl acetate, the maximum yield of the precursor of Leu-enkephalin was 68%. The reasons for effective synthesis with IME are: (1) higher concentration of L-Phe-L-LeuOEt inside support, which resulted in rising the rate of the synthesis reaction and protecting the competitive hydrolysis of Z-L-TyrGlyGly by thermolysin, (2) entrapment of the product inside the support where thermolysin could not act in the case of reaction in buffer, and (3) extraction of the product with the organic solvent in the case of reaction in a biphasic system or in saturated organic solvent.     

Energetics of proline racemase: racemization of unlabeled proline in the unsaturated, saturated, and oversaturated regimes

The interconversion of L- and D-proline catalyzed by proline racemase has been studied. The entire time course of the approach to equilibrium has been followed. After a short time the product concentration is significant, and the reaction runs under reversible conditions. As the total substrate concentration is increased, the system moves from the unsaturated regime into the saturated regime. At very high substrate levels under the reversible conditions used, the rate constant for substrate racemization falls, as the system moves into the "oversaturated" regime. Here, the net rate of the enzyme-catalyzed reaction is limited by the rate of return of the free enzyme from the form that liberates product back to the form that binds substrate. The results are analyzed in terms of the simple mechanism (table; see text) and illustrate the additional information that is available from reactions studied under reversible conditions. In the unsaturated region the value of the second-order rate constant kU (equivalent to kcat/Km) is 9 X 10(5) M-1 s-1 in each direction. In the saturated region, kcat = kcat = 2600 s-1 and Km = 2.9 mM. In the oversaturated region, the rate constant kO is 81 M s-1. The substrate concentration at which unsaturated and saturated terms contribute equally is 2.9 mM, and the substrate concentration at which saturated and oversaturated terms contribute equally is 125 mM.     

Preparation of a diacylglycerol-enriched soybean oil by phosphalipase A1 catalyzed hydrolysis

Partial hydrolysis catalyzed by phospholipase A1 (Lecitase Ultra) in a solvent free system was firstly used to produce diacylglycerols (DAGs)-enriched soybean oil. In this study, five reaction parameters namely agitation speed (100–500 rpm), reaction time (2–10 h), water content (10–50 wt% of oil mass), enzyme load (5–40 U/g of oil mass), and reaction temperature (30–70 °C) were investigated. The reaction was up-scaled to 1 kg of soybean oil at 40 °C of reaction temperature, with 300 rpm of agitation speed, 40 wt% of water content, 6 h of reaction time and 22 U/g of enzyme load. Purification by molecular distillation yielded 70% DAG-enriched oil with 42.64 wt% of DAG. The composition of acylglycerols of soybean oil and the DAG-enriched soybean oil was analyzed and identified by high performance liquid chromatography (HPLC) and HPLC/electrospray ionization/mass spectrometer. The released fatty acid from the partial hydrolysis of soybean oil catalyzed by phospholipase A1 showed a higher saturated fatty acid content than that of the raw material. Compared to the lipase catalyzed process, this new phospholipase A1 catalyzed one showed the advantages of low amount production of byproduct, namely, monoacylglycerols.     

Electron paramagnetic resonance study of the products of the reaction between nitrogen oxides and several organic compounds]

A method of electron paramagnetic resonance was applied to the study of a possibility of paramagnetic centres formation in the nitrogen oxide reaction with saturated and unsaturated fatty acids and aromatic amino acids. Several paramagnetic centres are formed in interaction of NO2 with oleic acid at 20 degrees C. Saturated fatty acids formed no paramagnetic centres in the reaction with NO2. NO formed no paramagnetic centres not only with butyric, palmitic, and stearic acids, but also with oleic acid. The capacity of NO2 to form paramagentic centres with tyrosine in its saturated solution was revealed. In case of interaction between NO and NO2 with saturated phenylalanine and tryptophane solutions no formation of paramagnetic centres was observed. It is suggested that unsaturated fatty acids and tyrosine remnants of the membrane lipoprotein complexes could serve as peculiar targets with which NO2 interacted, and that formation of paramagnetic centres in the NO2 reaction with the mentioned substances was the primary act of the membrane damage.     

Synthesis of dipeptide precursors with an immobilized thermolysin in ethyl acetate

N-(Benzyloxycarbonyl)-L-aspartyl-L-phenylalanine methyl ester (Z-AspPheOMe), a precursor of the aspartame, and N-(benzyloxycarbonyl)-L-phenylalanyl-Lphenylalanine methyl ester (Z-PhePheOMe) were synthesized from the respective amino acid derivatives with an immobilized thermolysin (EC 3.4.24.4) in ethyl acetate. Various factors affecting the synthesis of these dipeptide precursors were clarified. The initial synthetic rate was the highest at the water content of 3.5% for both reactions. The substrate concentration dependencies of the initial synthetic rate of Z-AspkPheOMe and Z-PhePheOMe with the immobilized enzyme in ethyl acetate were different from those in an aqueous buffer solution saturated with ethyl acetate but similar to those in the aqueous/organic biphasic system using the free enzyme. Particularly, the initial synthetic rate of Z-AspPhOMe increased in order higher than first order with respect to the concentration of L-phenylalanine methyl ester (PheOMe), whereas it decreased sharply with the concentration of N-(benzyloxycarbonyl)-L-aspartic acid (Z-Asp). Such kinetic behavior could be explained by regarding the inside of the immobilized enzyme as being a biphasic mode composed from the organic phase and aqueous phase where the enzymatic reaction takes place. The reaction in the aqueous/organic biphasic system using the free enzyme could be simulated by taking into consideration the partition of the substrate and the initial rate of synthesis in the aqueous buffer saturated with ethyl acetate. Based on this analysis, the rate of reaction with the immobilized enzyme in ethyl acetate could also be predicted. Z-AsPheOMe and Z-PhePheOMe were synthesized by the fed-batch method where the acid component of the substrate was intermittently added during the course of reaction and by the batch method. In the synthesis of Z-AspPheOMe, the synthetic rate and maximum yield of reaction as well as the stability of the immobilized enzyme were higher in the fed-batch reaction than those in the batch reaction. In the synthesis of Z-PhePheOMe, the results obtained by both methods were similar. (c) 1994 John Wiley & Sons, Inc.     

Optimized lipase-catalyzed synthesis of adipate ester in a solvent-free system

Immobilized Candida antarctica lipase-catalyzed esterification of adipic acid and oleyl alcohol was investigated in a solvent-free system (SFS). Optimum conditions for adipate ester synthesis in a stirred-tank reactor were determined by the response surface methodology (RSM) approach with respect to important reaction parameters including time, temperature, agitation speed, and amount of enzyme. A high conversion yield was achieved using low enzyme amounts of 2.5% w/w at 60°C, reaction time of 438 min, and agitation speed of 500 rpm. The good correlation between predicted value (96.0%) and actual value (95.5%) implies that the model derived from RSM allows better understanding of the effect of important reaction parameters on the lipase-catalyzed synthesis of adipate ester in an organic solvent-free system. Higher volumetric productivity compared to a solvent-based system was also offered by SFS. The results demonstrate that the solvent-free system is efficient for enzymatic synthesis of adipate ester.     

Beta-ketoacyl-acyl carrier protein synthase III (FabH) is essential for bacterial fatty acid synthesis

beta-Ketoacyl-acyl carrier protein (ACP) synthase III (KAS III, also called acetoacetyl-ACP synthase) encoded by the fabH gene is thought to catalyze the first elongation reaction (Claisen condensation) of type II fatty acid synthesis in bacteria and plant plastids. However, direct in vivo evidence that KAS III catalyzes an essential reaction is lacking, because no mutant organism deficient in this activity has been isolated. We report the first bacterial strain lacking KAS III, a fabH mutant constructed in the Gram-positive bacterium Lactococcus lactis subspecies lactis IL1403. The mutant strain carries an in-frame deletion of the KAS III active site region and was isolated by gene replacement using a medium supplemented with a source of saturated and unsaturated long-chain fatty acids. The mutant strain is devoid of KAS III activity and fails to grow in the absence of supplementation with exogenous long-chain fatty acids demonstrating that KAS III plays an essential role in cellular metabolism. However, the L. lactis fabH deletion mutant requires only long-chain unsaturated fatty acids for growth, a source of long-chain saturated fatty acids is not required. Because both saturated and unsaturated fatty acids are required for growth when fatty acid synthesis is blocked by biotin starvation (which prevents the synthesis of malonyl-CoA), another pathway for saturated fatty acid synthesis must remain in the fabH deletion strain. Indeed, incorporation of [1-14C]acetate into fatty acids in vivo showed that the fabH mutant retained about 10% of the fatty acid synthetic ability of the wild-type strain and that this residual synthetic capacity was preferentially diverted to the saturated branch of the pathway. Moreover, mass spectrometry showed that the fabH mutant retained low levels of palmitic acid upon fatty acid starvation. Derivatives of the fabH deletion mutant strain were isolated that were octanoic acid auxotrophs consistent with biochemical studies indicating that the major role of FabH is production of short-chain fatty acid primers. We also confirmed the essentiality of FabH in Escherichia coli by use of a plasmid-based gene insertion/deletion system. Together these results provide the first genetic evidence demonstrating that FabH conducts the major condensation reaction in the initiation of type II fatty acid biosynthesis in both Gram-positive and Gram-negative bacteria.