非稳态酶活化动力学的布尔函数图论分析

以非稳态酶动力学的布尔函数图形方法研究非稳态酶活化动力学问题,推导出此类反应的非稳态酶动力学方程,并对此动力学方程进行了讨论,分析了酶活化反应体系的非稳态酶动力学过程．     

反竞争性抑制的非稳态酶动力学布尔函数图解研究

以非稳态酶动力学的布尔函数图形方法,来研究一类反竞争性抑制的非稳态酶动力学问题,推导出此类反应的非稳态酶动力学方程,并对此动力学方程进行了讨论,分析了此类反竞争性制酶反应体系的非稳态酶动力学问题。     

一类非竞争性抑制的非稳态酶动力学布尔函数图解研究

本文以非稳态酶动力学的布尔函数图形方法^[1],来研究一类非竞争性抑制的非稳态酶动力学问题,推导出此类反应的非稳态酶动力学方程,并对此动力学方程进行了讨论,分析了此类非竞争性抑制的非稳态酶动力学的动力学过程。     

Random Bi Bi机制的非稳态酶动力学布尔函数图论研究

本文以非稳态酶动力学的布尔函数图形方法^[1],来研究一类Random Bi Bi机制的非稳态酶动力学问题,推导同此类反应的非稳态酶动力学方程,并对此动力学方程进行了讨论,分析了此类Random Bi Bi机制酶反应体系的非稳态酶动力学方程。     

竞争性抑制的非稳态酶动力学布尔函数图论研究

以非稳戊酶动力学的布尔函数图形方法,来研究一类竞争性抑制的非稳态酶动力学问题,推导出此类反应的百稳态酶动力学方程,并对此动力学方程进行了讨论,分析了此类竞争性抑制酶反应体系的非稳态酶动力学问题。     

Ping Pong Bi Bi机制的非稳态酶动力学分布函数图论研究

以非稳态酶动力学的布尔函数图形方法,来研究一类PingPongBiBi机制的非记酶动力学问题,推导出此类反应的非稳态酶动力学方程,并对此动力学方程进行了讨论,分析了此类PingPongBiBi机制酶反应体系的非稳态酶动力学方程。     

钾离子通道两态跳跃的通透机制

采用两态跳跃模型研究离子通道的通透机制,从两态动力学方程得到了平衡态下的能斯特方程、稳态条件下的米氏动力学关系。得出：若电压小于100mV,电导-电压关系是线性的;在电流-浓度关系中,电流具有饱和特性。这些与实验结果是一致的。此外,还讨论了钾离子通道到达稳态前的暂态过程,并用特征时间来描述这一过程。发现采用两态跳跃模型用较少的参数就可以说明离子通透的机制。     

具垂直传播的林龄结构病虫害模型平衡态的稳定性

讨论连续使用杀虫剂和具有垂直传播的林龄结构病虫害模型,对模型的动力学性态进行了分析,得到模型的基本再生数,讨论了模型无病平衡态的稳定性和病虫害平衡态的不稳定性,分析了病虫害的机理参数对病害流行的影响.     

代谢途径的进化

生物的新陈代谢是通过一系列的代谢途径来实现的.这些调节精妙、相瓦协作的代谢途径是如何进化形成的一直是一个引人入胜的重要问题.自1945年有关该问题的第一个假说--"逆向进化假说"提出以来,迄今已发展出七种假说,包括"逆向进化假说"、"半酶理论"、"向前发展模型"、"酶的招募假说"、"多功能酶特化假说"、"整个代谢途径的复制假说"和"从头创造假说".其中最受关注的是"逆向进化假说"和"酶的招募假说",而最近提出的"多功能酶特化假说"由于有较好的理论基础和实验证据支持,也逐渐引起人们的关注.本文对这些假说逐一作了概述,并结合作者的相关研究工作,对该领域的研究现状和发展趋势进行了分析讨论和展望.     

一类带有接种和年龄结构的SVIR传染病模型

数学地分析了一类带有接种和年龄结构的SVIR传染病模型的动力学性质,得到了接种疫苗策略φ和年龄a有关的基本再生数R(φ,a)的表达式,证明了当R(0,a)1时,系统中无病平衡态是全局渐近稳定的;当R(φ,a)1时,无病平衡态是不稳定的,此时系统至少存在一地方病平衡态.     

Activation of D-tyrosine by Bacillus stearothermophilus tyrosyl-tRNA synthetase: 2. Cooperative binding of ATP is limited to the initial turnover of the enzyme

The activation of D-tyrosine by tyrosyl-tRNA synthetase has been investigated using single and multiple turnover kinetic methods. In the presence of saturating concentrations of D-tyrosine, the activation reaction displays sigmoidal kinetics with respect to ATP concentration under single turnover conditions. In contrast, when the kinetics for the activation reaction are monitored using a steady-state (multiple turnover) pyrophosphate exchange assay, Michaelis-Menten kinetics are observed. Previous investigations indicated that activation of l-tyrosine by the K233A variant of Bacillus stearothermophilus tyrosyl-tRNA synthetase displays sigmoidal kinetics similar to those observed for activation of d-tyrosine by the wild-type enzyme. Kinetic analyses indicate that the sigmoidal behavior of the d-tyrosine activation reaction is not enhanced when Lys-233 is replaced by alanine. This supports the hypothesis that the mechanistic basis for the sigmoidal behavior is the same for both d-tyrosine activation by wild-type tyrosyl-tRNA synthetase and activation of l-tyrosine by the K233A variant. The observed sigmoidal behavior presents a paradox, as tyrosyl-tRNA synthetase displays an extreme form of negative cooperativity, known as "half-of-the-sites reactivity," with respect to tyrosine binding and tyrosyl-adenylate formation. We propose that the binding of D-tyrosine weakens the affinity with which ATP binds to the functional subunit in tyrosyl-tRNA synthetase. This allows ATP to bind initially to the nonfunctional subunit, inducing a conformational change in the enzyme that enhances the affinity of the functional subunit for ATP. The observation that sigmoidal kinetics are observed only under single turnover conditions suggests that this conformational change is stable over multiple rounds of catalysis.     

A generalized theory of the transition time for sequential enzyme reactions.

In a sequence of coupled enzyme reactions the steady-state production of product is preceded by a lag period or transition time during which the intermediates of the sequence are accumulating. Provided that a steady state is eventually reached, the magnitude of this lag may be calculated, even when the differentiation equations describing the process have no analytical solution. The calculation may be made for simple systems in which the enzymes obey Michaelis-Menten kinetics or for more complex pathways in which intermediates act as modifiers of the enzymes. The transition time associated with each intermediate in the sequence is given by the ratio of the appropriate steady-state intermediate concentration to the steady-state flux. The theory is also applicable to the transition between steady states produced by flux changes. Application of the theory to coupled enzyme assays allows a definition of the minimum requirements for successful operation of the assay. The theory can be extended to deal with sequences in which the enzyme concentration exceeds substrate concentration.     

Kinetics of coupled enzyme reactions

A theory has been developed for the kinetics of coupled enzyme reactions. This theory does not assume that the first reaction is irreversible. The validity of this theory is confirmed by a model system consisting of enoyl-CoA hydratase (EC 4.2.1.17) and 3-hydroxyacyl-CoA dehydrogenase (EC 1.1.1.35) with 2,4-decadienoyl coenzyme A (CoA) as a substrate. This theory, in contrast to the conventional theory, proves to be indispensible for dealing with coupled enzyme systems where the equilibrium constant of the first reaction is small and/or the concentration of the coupling enzyme is higher than that of the intermediate. Equations derived on the basis of this theory can be used to calculate steady-state velocities of coupled enzyme reactions and to predict the time course of coupled enzyme reactions during the pre steady state.     

Cooperativity and specificity in enzyme kinetics: a single-molecule time-based perspective

An alternative theoretical approach to enzyme kinetics that is particularly applicable to single-molecule enzymology is presented. The theory, originated by Van Slyke and Cullen in 1914, develops enzyme kinetics from a “time perspective” rather than the traditional “rate perspective” and emphasizes the nonequilibrium steady-state nature of enzymatic reactions and the significance of small copy numbers of enzyme molecules in living cells. Sigmoidal cooperative substrate binding to slowly fluctuating, monomeric enzymes is shown to arise from association pathways with very small probability but extremely long passage time, which would be disregarded in the traditional rate perspective: A single enzyme stochastically takes alternative pathways in serial order rather than different pathways in parallel. The theory unifies dynamic cooperativity and Hopfield-Ninio's kinetic proofreading mechanism for specificity amplification.     

A test for measuring the effects of enzyme inactivation

In the single-enzyme, single-substrate reaction with non-mechanism-based enzyme inactivation, the formation of the product and inactivation of the enzyme occur independently. For this reaction, we show that the steady-state hypothesis is applicable even when degradation of the enzyme occurs. An equation for the rate of product formation has been derived and it shows Michaelis-Menten kinetics with an apparent Michaelis-Menten constant K(M)(app)=K(M)+K(delta) where K(delta) is the enzyme inactivation constant. Use of a Lineweaver-Burk plot yields values for K(M)(app), which can be used to estimate K(delta) and, consequently, the degree of enzyme inactivation in a particular experiment. We employ this methodology to estimate the inactivation constant for the arsenate reductase catalyzed production of arsenite with appreciable enzyme inactivation.     

Evaluating the efficiency of enzyme accelerated CO2 capture: chemical kinetics modelling for interpreting measurement results

In this paper, the efficiency of the carbonic anhydrase (CA) enzyme in accelerating the hydration of CO₂ is evaluated using a measurement system which consists of a vessel in which a gaseous flow of mixtures of nitrogen and CO₂ is bubbled into water or water solutions containing a known quantity of CA enzyme. The pH value of the solution and the CO₂ concentration at the measurement system gas exhaust are continuously monitored. The measured CO₂ level allows for assessing the quantity of CO₂, which, subtracted from the gaseous phase, is dissolved into the liquid phase and/or hydrated to bicarbonate. The measurement procedure consists of inducing a transient and observing and modelling the different kinetics involved in the steady-state recovery with and without CA. The main contribution of this work is exploiting dynamical system theory and chemical kinetics modelling for interpreting measurement results for characterising the activity of CA enzymes. The data for model fitting are obtained from a standard bioreactor, in principle equal to standard two-phase bioreactors described in the literature, in which two different techniques can be used to move the process itself away from the steady-state, inducing transients.     

The ribonuclease inhibitors from porcine thyroid and liver are slow, tight-binding inhibitors of bovine pancreatic ribonuclease A

Ribonuclease inhibitors were purified from the latent ribonuclease fractions of porcine thyroid and liver and used to test the hypothesis that their inhibition of bovine pancreatic ribonuclease A is correctly described by tight-binding rather than Michaelis-Menton kinetics. Both proteins were found to act as slow, tight-binding inhibitors of the enzyme. These steady-state velocities also showed that both the thyroid and liver inhibitors were competitive inhibitors of bovine pancreatic ribonuclease A with Ki's of 0.1 and 0.4 nM, respectively. In contrast to interpretations based on Michaelis-Menton assumptions that show non-competitive inhibition, these results suggest that an enzyme:inhibitor:substrate complex does not exist.     

Basis for the anomalous effect of competitive inhibitors on the kinetics of hydrolysis of short-chain phosphatidylcholines by phospholipase A2.

The effect of four specific competitive inhibitors on the kinetics of hydrolysis of short-chain diacyl-sn-glycero-3-phosphocholines below their critical micelle concentrations was examined. The kinetics of hydrolysis of short-chain substrates dispersed as solitary monomers were generally consistent with the classical Michaelis-Menten formalism; i.e., hydrolysis began without any latency period, the steady-state rate was observed at higher substrate concentrations, the steady-state initial rate showed a linear dependence on the enzyme concentration, and the hyperbolic dependence of the initial rate on the substrate concentration could be described in terms of KM and Vmax parameters. The competitive nature of the inhibitors used in this study has been established by a variety of techniques, and the equilibrium dissociation constants for the inhibitors bound to the enzyme were measured by the protection method [Jain et al. (1991) Biochemistry 30, 7306-7317]. The kinetics of hydrolysis in the presence of competitive inhibitors could be described by a single dissociation constant. However, the value of the dissociation constant obtained under the kinetic conditions was comparable to that obtained by the protection method for the inhibitor-enzyme complex bound to a neutral diluent, rather than to the value of the dissociation constant obtained with solitary monomeric inhibitors and the enzyme in the aqueous phase. Spectroscopic methods showed that the effectively lower dissociation constant of an inhibitor bound to PLA2 at the interface is due to the stabilization of the enzyme-inhibitor complex by interaction with other amphiphiles present in the reaction mixture.(ABSTRACT TRUNCATED AT 250 WORDS)     

Kinetics of diffusion-influenced multisite phosphorylation with enzyme reactivation

The simplest way to account for the influence of diffusion on the kinetics of multisite phosphorylation is to modify the rate constants in the conventional rate equations of chemical kinetics. We have previously shown that this is not enough and new transitions between the reactants must also be introduced. Here we extend our results by considering enzymes that are inactive after modifying the substrate and need time to become active again. This generalization leads to a surprising result. The introduction of enzyme reactivation results in a diffusion-modified kinetic scheme with a new transition that has a negative rate constant. The reason for this is that mapping non-Markovian rate equations onto Markovian ones with time-independent rate constants is not a good approximation at short times. We then developed a non-Markovian theory that involves memory kernels instead of rate constants. This theory is now valid at short times, but is more challenging to use. As an example, the diffusion-modified kinetic scheme with new connections was used to calculate kinetics of double phosphorylation and steady-state response in a phosphorylation-dephosphorylation cycle. We have reproduced the loss of bistability in the phosphorylation-dephosphorylation cycle when the enzyme reactivation time decreases, which was obtained by particle-based computer simulations.