The theoretical analysis of kinetic behaviour of “hysteretic” allosteric enzymes V. Relaxation kinetics of dissociating enzyme systems

The expressions for relaxation time as a function of enzyme and specific ligand concentration are deduced for dissociating enzyme system 2p ? P (P is enzyme oligomer which is able to dissociate reversibly forming two identical halves p). It is assumed that ligand binding sites are equivalent and independent in each oligomeric enzyme form and the equilibrium between oligomeric forms develops rather slowly in comparison with the rate of the binding of the ligand. The kinetics of relaxation of the dissociating enzyme system 2p ? P with progressive change of the rate constants for association of oligomeric form p has been analysed in graphic form. The situations when one of the oligomeric enzyme forms is not able to bind the ligand are also considered. The principles of the analysis of relaxation kinetics of dissociating enzyme systems 2p ? P are discussed.     

Regulation of stromal sedoheptulose 1,7-bisphosphatase activity by pH and Mg2+ concentration

A scheme is proposed for the regulation of stromal sedoheptulose 1,7-bisphosphatase activity which enlarges upon a previously elaborated mechanism (Woodrow, I.E., and Walker, D.A. (1983) Biochim. Biophys. Acta 722, 508-516). The latter involves oxidized (inactive) and reduced (active) enzyme forms. Both the free enzymes and the enzyme-substrate complexes undergo slow oxidation/reduction. This study examines the behavior of the system under pH and Mg2+ concentration regimes that are likely to occur in the chloroplast stroma. The control of enzyme activity by pH can be described in terms of each free enzyme and enzyme-substrate complex existing in protonated and nonprotonated forms. The molecular dissociation constants for each protonation reaction were calculated from kinetic data. Mg2+ concentration changes modulate these constants. Under conditions that are likely to obtain in the stroma in the dark, the model predicts that approximately 99.1% of the enzyme will be in the inactive forms. Such inactivation is important since it would prevent the reductive pentose phosphate pathway from operating in darkness.     

Kinetic and mechanism of interaction of L-cysteine with alkaline phosphatase from calf intestines

The effect of L-cysteine on activity of hydrophobic forms of calf intestine alkaline phosphatase was investigated. Apparent inhibition constants for mixed type inhibition have been determined. The kinetic results allow supposing that the mechanism of equilibrium establishment between the inhibitor and enzyme involves the initial rapid formation of intermediate complex and a subsequent slower step leading to its stabilization in the substrate binding site. The microscopic rate constants for slow step of interaction of L-cysteine with alkaline phosphatase have been calculated. Effect of pH on apparent inhibition constants and kinetic parameters for enzymatic reaction in the presence of L-cysteine was analysed.     

Reversible loss of cooperative calcium ion binding by sarcoplasmic reticulum calcium adenosinetriphosphatase

Incubation of rabbit skeletal muscle sarcoplasmic reticulum vesicles in solutions of very low [Ca2+] caused Ca2+ to bind noncooperatively, as determined by the dependence of the intrinsic tryptophan fluorescence intensity on added increments of Ca2+. Cooperative Ca2+ binding was obtained if the ATPase was incubated in [Ca2+] high enough (25 microM) to saturate the two high-affinity Ca2+ binding sites and then titrated with [ethylenebis(oxyethylenenitrilo)]tetraacetic acid. The cooperative binding had an apparent association constant of 6.3 X 10(6) M-1 and a Hill coefficient of 2.6; these constants for the noncooperative binding case were 5.0 X 10(5) M-1 and 1.2, respectively. The transitions from the noncooperative to the cooperative Ca2+ binding forms of the enzyme were slow compared to the time required for Ca2+ binding to reach equilibrium. Thus, it appears that sarcoplasmic reticulum CaATPase is a hysteretic enzyme. Intrinsic association constants for Ca2+ binding and equilibrium constants for the transitions between the two forms in low and high [Ca2+] were estimated from analyses of a general scheme for cooperative and noncooperative binding.     

Oxygen and carbon monoxide kinetics of Glycera dibranchiata monomeric hemoglobin.

Oxygen and carbon monoxide kinetics of Glycera dibranchiata monomeric hemoglobin have been studied using laser photolysis, air flash, and stopped flow techniques. The reactions of this hemoglobin with both ligands were found to be more rapid than the corresponding reactions involving myoglobin and were also biphasic in nature, the rate constants being approximately an order of magnitude different for the fast and slow phases in each case. No pH or hemoglobin concentration dependence of the pseudo-first order rate constants was apparent between pH 6 and 9 and in the concentration range of 1.25 to 40 muM heme. Both fast and slow pseudo-first order oxygen combination rate constants varied linearly with oxygen concentration between 16 and 1300 muM. A first order slow relaxation was also noted which was linearly dependent on heme concentration and inversely dependent on oxygen concentration. This reaction has been shown to be due to a replacement of oxygen by carbon monoxide. The presence of this reaction is a result of the high affinity of Glycera monomer for carbon monoxide as shown by the partition coefficient Mr = approximately 20,000 ana an equilibrium dissociation constant of the order L = 1.1 X 10(-9) M.     

A kinetic study of cyclic adenosine 3':5'-monophosphate binding and mode of activation of protein kinase from Drosophila melanogaster embryos.

Cyclic AMP-dependent protein kinase and its regulatory subunit were isolated from Drosophila melanogaster embryos. The profiles of cyclic AMP binding by these proteins were significantly different. In order to explain such a difference and to find the mode of enzyme activation by cyclic AMP, a kinetic study of cyclic AMP binding was carried out. First, the association rate constant k1 and dissociation rate constant k-1 in the cyclic AMP-regulatory subunit interaction at 0 degrees C were estimated to be 2.3 X 10(6)M-1s-1 and 1.1 X 10(-3)s-1, respectively. Secondly, the three possible modes of enzyme activation by cyclic AMP were mathematically considered and could be described by a unique formula: r=APt + BQt (A + B=1) in which the parameters A, B, P, and Q are equivalent to rate constants in the sense that the rate constants are simply expressed by these parameters. Thirdly, the values of the parameters and subsequently the values of rate constants involved in the possible mechanisms were evaluated using a curve-fitting technique and compared with experimental observation. It was then found that the following mechanism was the only one which fitted the experimental observations. Namely, RC + L k3 equilibrium k-3 LRC k4 equilibrium k-4 RL + C where R, C, and L represent the regulatory and catalytic subunits and cyclic AMP as a ligand. Thus, our results indicate that in the presence of cyclic AMP the active enzyme (C) is released from a ternary intermediate which is the primary product of the cyclic AMP-holoenzyme interaction. The estimated values of the rate constants are: k3=3.5 X 10(6)M-1s-1;k-3=7.3 X 10(-1)s-1;and k4=3.8 X 10(-2)s. These estimates indicate that the reaction LRC leads to RL + C is relatively slow and limits the rate of the overall reaction. By comparing k-3 and k4, it is apparent that a large part of newly formed ternary intermediate reverts to the holoenzyme.     

An analysis of the reaction kinetics of the hexahaem nitrite reductase of the anaerobic rumen bacterium Wolinella succinogenes.

The reduction kinetics of both the resting and redox-cycled forms of the nitrite reductase from the anaerobic rumen bacterium Wolinella succinogenes were studied by stopped-flow reaction techniques. Single-turnover reduction of the enzyme by dithionite occurs in two kinetic phases for both forms of the enzyme. When the resting form of the enzyme is subjected to a single-turnover reduction by dithionite, the slower of the two kinetic phases exhibits a hyperbolic dependence of the rate constant on the square root of the reductant concentration, the limiting value of which (approximately 4 s-1) is assigned to a slow internal electron-transfer process. In contrast, when the redox-cycled form of the enzyme is reduced by dithionite in a single-turnover experiment, both kinetic phases exhibit linear dependences of the rate on the square root of dithionite concentration, with associated rate constants of 150 M-1/2.s-1 and 6 M-1/2.s-1. Computer simulations of both the reduction processes shows that no unique set of rate constants can account for the kinetics of both forms, although the kinetics of the redox-cycled species is consistent with a much enhanced rate of internal electron transfer. Under turnover conditions the time course for reduction of the enzyme, in the presence of millimolar levels of nitrite and 100 mM-dithionite, is extremely complex. A working model for the mechanism of the turnover activity of the enzyme is proposed which very closely describes the reaction kinetics over a wide range of substrate concentrations, as shown by computer simulation. The similarity in the action of the nitrite reductase enzyme and mammalian cytochrome c oxidase is commented upon.     

Chemical relaxation studies on the horse liver alcohol dehydrogenase system.

Chemical relaxation studies on the system horse liver alcohol dehydrogenase, nicotinamide adenine dinucleotide, and ethanol were conducted observing fluorescence changes between 400 and 500 nm. Temperature-jump experiments were performed at pH 6.5, 7.0, 8.0, and 9.0; concentration-jump experiments at pH 9.0. The reciprocal of the slowest relaxation time was found to be linearly dependent upon the enzyme concentration for relatively low enzyme concentrations, as predicted earlier. Use of the wide pH-range necessitated expression of the four apparent dissociation constants of the catalytic reaction cycle in terms of pH-independent constants. The system was described in terms of only one (or two) catalysis-linked protons not associated with the electron transfer. Protonic steps in a buffered system are in rapid equilibrium, too fast to be measured with the equipment available. Assuming only two of the four bimolecular reaction steps in the four-step cycle are fast compared to the remaining two, six cases may be considered with six expressions for the reciprocal of the slowest relaxation time. Comparison with the experimental data revealed that the bimolecular reaction steps governing the slowest relaxation time change with pH. Above the effective time resolution of the temperature-lump instrument with fluorescence detection (0.1 msec) only one other relaxation time was detectable and only at pH 9. This relaxation time, found to be independent of the concentration of all reactants within experimental error (r = 10 +/- 5 msec), is most likely due to an interconversion among ternary complexes.     

Bacterial luciferase: demonstration of a catalytically competent altered conformational state following a single turnover

Ziegler-Nicoli et al. [Ziegler-Nicoli, M., Meighen, E. A., & Hastings, J. W. (1974) J. Biol. Chem. 249, 2385-2392] reported that a highly reactive cysteinyl residue on the alpha subunit of bacterial luciferase resides in or near the flavin binding site such that the enzyme-flavin complex is protected from inactivation by alkylating reagents. These authors also observed that injection of reduced flavin mononucleotide (FMNH2) into an air-equilibrated solution of enzyme protected the enzyme from alkylation for much longer than the lifetime of the 4a-peroxydihydroflavin intermediate resulting from reaction of enzyme-bound FMNH2 with O2. Two related explanations were offered: either the product flavin mononucleotide dissociated from the enzyme much more slowly following a catalytic cycle than would be predicted from the Kd measured by equilibrium binding or the enzyme itself, without bound flavin, was in an altered conformational state in which the thiol was less reactive following a catalytic cycle. Either explanation involves a slow return of the enzyme to its initial state following a catalytic cycle. We have investigated this phenomenon in more detail and found that rapid removal of the flavin from the enzyme by chromatography following catalytic turnover did not return the enzyme to its original state of susceptibility to either alkylating reagents or proteolytic enzymes. The flavin-free enzyme returned to the susceptible conformation with a half-time of ca. 25 min at 0 degree C. Inactivation of the enzyme at intermediate times of relaxation by either a proteolytic enzyme or an alkylating reagent showed biphasic kinetics, indicative of a mixture of the protected and susceptible forms.(ABSTRACT TRUNCATED AT 250 WORDS)     

Membrane transport models with fast and slow reactions: General analytical solution for a single relaxation

Summary Membrane transport models are usually expressed on the basis of chemical kinetics. The states of a transporter are related by rate constants, and the time-dependent changes of these states are given by linear differential equations of first order. To calculate the time-dependent transport equation, it is necessary to solve a system of differential equations which does not have a general analytical solution if there are more than five states. Since transport measurements in a complex system rarely provide all the time constants because some of them are too rapid, it is more appropriate to obtain approximate analytical solutions, assuming that there are fast and slow reaction steps. The states of the fast steps are related by equilibrium constants, thus permitting the elimination of their differential equations and leaving only those for the slow steps. With a system having only two slow steps, a single differential equation is obtained and the state equations have a single relaxation. Initial conditions for the slow reactions are determined after the perturbation which redistribute the states related by fast reactions. Current and zero-trans uptake equations are calculated. Curve fitting programs can be used to implement the general procedure and obtain the model parameters.     

A quantitative treatment of the kinetics of the folding transition of ribonuclease A.

New experimental data and a quantitative theoretical treatment are given for the kinetics of the thermal folding transition of ribonuclease A at pH 3.0. A three-species mechanism is used as a starting point for the analysis: U1 (slow) in equilibrium U2(fast) in equilibrium N, where U1 and U2 are two forms of the unfolded enzyme with markedly different rates of refolding and N is the native enzyme. This mechanism is based on certain facts established in previous studies of refolding. The kinetics of unfolding and refolding show two phases a fast phase and a slow phase, over a range of temperatures extending above the transition midpoint, Tm. The three-species mechanism can be used in this range. At higher temperatures a new much faster kinetic phase is also observed corresponding to the transient formation of a new intermediate (I). Although the general solution for a four-species mechanism is complex it is not difficult to extend the three-species analysis for the special case found here, in which the fast reaction (I in equilibrium N) is well separated from the other two reactions. At temperatures below the transition zone the slow phase of refolding becomes kinetically complex. No attempt has been made to extend the analysis to include this effect. The basic test of the three-state analysis is the prediction as a function of temperature of alpha2, the relative amplitude of the fast phase, both for unfolding and refolding. At temperatures above Tm for which the three-state analysis must be extended to include the new intermediate I, a crresponding quanitity alpha2(cor) is predicted and compared with measured values. Data used in the three-state prediction are values of tau2 and tau1, the time constants of the fast and slow kinetic phases, plus a single value of alpha2 measured when tau2 and tau1 are well separated. The observed and predicted values of alpha2 agree within experimental error. The analysis predicts correctly that, for these experiments, alpha2 should have the same value in unfolding as in refolding in the final conditions. The analysis also predicts satisfactorily the equilibrium transition curve from kinetic data alone. Four striking properties of the kinetics are explained or correlated by the analysis: (a) the drop in alpha2 to a minimum near Tm as well as the delayed rise in alpha2 above Tm;(b) the vanishing of alpha1 above the transition zone; (c) the sharp drop in tau1 inside the transition zone followed by a partial leveling off outside this zone; and (d) the passage of tau2 through a maximum near Tm. Through a comparison of observed and predicted values of alpha2, the analysis also rules out the alternative three-species mechanism U1 (slow) in equilibrium N (fast) in equilibrium U2. Finally, the temperature dependence of the amplitude for the fast reaction (I in equilibrium N) is discussed; the behavior of I is like that of U2 and I may be an unfolded species populated at equilibrium...     

Relaxation kinetics of ribonuclease T1 binding with guanosine and 3'-GMP.

Temperature-jump relaxation kinetic studies were undertaken at 25 degrees C with ribonuclease T1 (RNase T1) alone and in the presence of guanosine (Guo) and 3'-guanylic acid (3'-GMP). No relaxations were observed in the absence of ligands and only one process was observed in their presence which reflected a simple on-off reaction in both cases. Apparent association rate constants, k(on), and dissociation rate constants, k(off), were evaluated at several pH values and their ratios, k(on)/k(off), were contrasted with independently determined values of the equilibrium association constant, Ka(eq). The value of k(on)/k(off) for Guo was significantly greater than Ka(eq), whereas Ka(eq) was significantly greater than k(on)/k(off) for 3'-GMP. The simplest interpretation of the result for Guo is that free RNase T1 undergoes a relatively slow undetected isomerization and Guo can bind only with one isomer. 3'-GMP can be considered to bind with the same preference, but in this case the initial enzyme complex undergoes a relatively slow undetected isomerization. These results are consistent with a recent NMR study which suggested that RNase T1 binding with Guo and 3'-GMP are coupled to slow exchange processes in a ligand dependent manner (Shimada, I. and Inagaki, F. (1990) Biochemistry 29, 757-764). It is tentatively concluded that binding of Guo and 3'-GMP at the active site of RNase T1 is limited to a sub-population of conformers involving the base-recognition site and that the phosphomonoester group of the nucleotide can engage in additional conformationally linked interactions at the adjacent catalytic site.     

Slow dissociation of ATP from the calcium ATPase

The acyl-phosphate intermediate of the sarcoplasmic reticulum calcium ATPase reaction, formed in a brief incubation of vesicular enzyme with 5 microM [gamma-32P]ATP and calcium, reacts biphasically with added ADP (pH 7.0, 25 degrees C, 100 mM KCl, 5 mM MgSO4). Both the burst size and the rate constant for the slow phase increase with increasing ADP concentration in the way that is expected if the burst represents very rapid formation of an equilibrium amount of enzyme-bound ATP and the slow phase represents rate-limiting dissociation of ATP. Also consistent with this interpretation are the slow labeling of phosphoenzyme under conditions in which unlabeled ATP must dissociate first and the observation of a burst of ATP formation on ADP addition to phosphoenzyme. Values of the equilibrium constants for ADP dissociation from phosphoenzyme (0.75 mM), for ATP formation on the enzyme (2.3), and for the ATP dissociation rate constant (37 s-1) were obtained from a quantitative analysis of the data.     

A model for the kinetics of activation and catalysis of ribulose 1,5-bisphosphate carboxylase.

Further evidence for time-dependent interconversions between active and inactive states of ribulose 1,5-bisphosphate carboxylase is presented. It was found that ribulose bisphosphate oxygenase and ribulose bisphosphate carboxylase could be totally inactivated by excluding CO2 and Mg2+ during dialysis of the enzyme at 4 degrees C. When initially inactive enzyme was assayed, the rate of reaction continually increased with time, and the rate was inversely related to the ribulose bisphosphare concentration. The initial rate of fully activated enzyme showed normal Michaelis-Menten kinetics with respect to ribulose bisphosphate (Km = 10muM). Activation was shown to depend on both CO2 and Mg2+ concentrations, with equilibrium constants for activation of about 100muM and 1 mM respectively. In contrast with activation, catalysis appeared to be independent of Mg2+ concentration, but dependent on CO2 concentration, with a Km(CO2) of about 10muM. By studying activation and de-activation of ribulose bisphosphate carboxylase as a function of CO2 and Mg2+ concentrations, the values of the kinetic constants for these actions have been determined. We propose a model for activation and catalysis of ribulose bisphosphate carboxylase: (see book) where E represents free inactive enzyme; complex in parentheses, activated enzyme; R, ribulose bisphosphate; M, Mg2+; C, CO2; P, the product. We propose that ribulose bisphosphate can bind to both the active and inactive forms of the enzyme, and slow inter-conversion between the two states occurs.     

Kinetic and binding studies of Mn (II) and fructose 1,6-bisphosphate with rabbit liver hexosebisphosphatase.

The separate interaction of the substrate fructose 1,6-bisphosphate and a metal ion cofactor Mn2+ with neutral hexosebisphosphatase has been studied under equilibrium conditions at pH 7.5 with gel filtration and electron paramagnetic resonance measurements, respectively. Binding data for both ligands to the enzyme yielded nonlinear Scatchard plots that analyze in terms of four negatively cooperative binding sites per enzyme tetramer. Graphical estimates of the binding constants were refined by a computer searching procedure and nonlinear least squares analysis. These results are qualitatively similar to those obtained from binding studies involving teh alkaline enzyme, a modified form of hexosebisphosphatase whose pH optimum is in the alkaline pH region. Both forms of the enzyme enhance the proton relaxation rate of water protons by a factor of approximately 7 to 8 at 24 MHz, demonstrating similar metal ion environments. Teh activator Co(III)-EDTA did not affect Mn2+ binding to the neutral enzyme. In the presence of (alpha + beta)methyl-D-fructofuranoside 1,6-bisphosphate, however, two sets--each containing four Mn2+ binding sites--were observed per enzyme tetramer with loss of the negatively cooperative interaction. These results are viewed in terms of four noncatalytic and four catalytic Mn2+ binding sites. Parallel kinetic investigations were conducted on the neutral enzyme to determine specific activity as a function of Mn2+ and fructose 1,6-bisphosphate concentration. A pro-equilibrium sequential pathway model involving Mn2+-enzyme and the Mn2+-fructose 1,6-bisphosphate complex both as substrate and as an allosteric inhibitor satisfactorily fit the kinetic observations. All possible enzyme species were computed from the determined binding constants and grouped according to the number of moles of Mn2+-fructose 1,6-bisphosphate complex bound to the Mn2+-enzyme, and individual rate constants were calculated. The testing of other models and their failure to describe the kinetic observations are discussed.     

Divalent metal ion, inorganic phosphate, and inorganic phosphate analogue binding to yeast inorganic pyrophosphatase

Four different techniques, equilibrium dialysis, protection of enzymatic activity against chemical inactivation, 31P relaxation rats, and water proton relaxation rates, are used to study divalent metal ion, inorganic phosphate, and inorganic phosphate analogue binding to yeast inorganic pyrophosphatase, EC 3.6.1.1. A major new finding is that the binding of a third divalent metal ion per subunit, which has elsewhere been implicated as being necessary for enzymatic activity [Springs, B., Welsh, K. M., & Cooperman, B. S. (1981) Biochemistry (in press)], only becomes evident in the presence of added inorganic phosphate and that, reciprocally, inorganic phosphate binding to both its high- and low-affinity sites on the enzyme is markedly enhanced in the presence of divalent metal ions, with Mn2+ causing an especially large increase in affinity. The results obtained allow evaluation of all of the relevant equilibrium constants for the binding of Mn2+ and inorganic phosphate or of Co2+ and inorganic phosphate to the enzyme and show that the high-affinity site has greater specificity for inorganic phosphate than the low-affinity site. In addition, they provide. The results obtained allow evaluation of all of the relevant equilibrium constants for the binding of Mn2+ and inorganic phosphate or of Co2+ and inorganic phosphate to the enzyme and show that the high-affinity site has greater specificity for inorganic phosphate than the low-affinity site. In addition, they provide. The results obtained allow evaluation of all of the relevant equilibrium constants for the binding of Mn2+ and inorganic phosphate or of Co2+ and inorganic phosphate to the enzyme and show that the high-affinity site has greater specificity for inorganic phosphate than the low-affinity site. In addition, they provide evidence against divalent metal ion inner sphere binding to phosphate for enzyme subunits having one or two divalent metal ions bound per subunit and evidence for a conformational change restricting active-site accessibility to solvent on the binding of a third divalent metal ion per subunit.     

Equations of substrate-limited growth: the case for blackman kinetics

A simplified model of cell metabolism, consisting of a series of linked reversible enzymatic reactions dependent on the concentration of a single external substrate has been developed. The general mathematical solution for this system of reactions is presented. This general solution confirms the concept of a rate-limiting step, or “master reaction”, in biological systems as first proposed by Blackman. The maximum rate of such a process is determined by, and equal to, the maximum rate of the slowest forward reaction in the series. Of practical interest in modeling the growth rate of cells are three cases developed from the general model. The simplest special case results in the Monod equation when the maximum forward rate of one enzymatic reaction in the cell is much less than the maximum forward rate of any other enzymatic reactions. More realistic is the case where the maximum forward rates of more than one enzymatic reaction are slow. When two slow enzymatic reactions are separated from each other by any number of fast reactions that overall can be described by a large equilibrium constant, the Blackman form results: and A third case is that in which two slow enzymatic steps are separated by an equilibrium constant that is not large. Unlike the Monod and Blackman forms, which contain only two arbitrary constants, this model contains three arbitrary constants: The Monod and Blackman forms are special cases of this three constant form. In comparing equations with two arbitrary constants the Monod equation gave poorer fit of the data in most cases than the Blackman form. It is concluded that workers modeling the growth of microorganisms should give a t least as much consideration to the Blackman form as is given to the Monod equation.     

Inhibition kinetics of green crab (Scylla serrata) alkaline phosphatase by zinc ions: a new type of complexing inhibition

The Tsou method was used to study the kinetic course of inactivation of green crab alkaline phosphatase by zinc ions. The results show that the enzyme was inactivated by a complexing scheme which has not been previously identified. The enzyme first reversibly and quickly binds Zn(2+) and then undergoes a slow reversible course to inactivation and slow conformational change. The inactivation reaction is a single molecule reaction and the apparent inactivation rate constant is for a saturated reaction being independent of Zn(2+) concentration if the concentration is sufficiently high. The microscopic rate constants of inactivation and the association constant were determined from the measurements.     

Inhibition kinetics of green crab (Scylla serrata) alkaline phosphatase activity by dithiothreitol or 2-mercaptoethanol

Green crab (Scylla serrata) alkaline phosphatase (EC 3.1.3.1) is a metalloenzyme which catalyzes the nonspecific hydrolysis of phosphate monoesters. Some pollutants in seawater affect the enzyme activity causing loss of the biological function of the enzyme, which affects the exuviating crab-shell and threatens the survival of the animal. The present paper studies the effects of thiohydroxyal compounds on the activity of green crab alkaline phosphatase. The results show that thiohydroxyal compounds can lead to reversible inhibition. The equilibrium constants have been determined for dithiothreitol (DTT) and mercaptoethanol (ME) binding with the enzyme and/or the enzyme-substrate complexes. The results show that both DTT and ME are non-competitive inhibitors. The kinetics of enzyme inactivation by ME at low concentrations has been studied using the kinetic method of the substrate reaction. The results suggest that at pH 10.0, the action of ME on green crab ALP is first quick equilibrium binding and then slow inactivation. The microscopic rate constants were determined for inactivation and reactivation. The rate constant of the forward inactivation (k(+0)) is much larger than that of the reverse reactivation (k(-0)). Therefore, when the ME concentration is sufficiently large, the enzyme is completely inactivated.     

The rates of defined changes in protein structure during the catalytic cycle of lactate dehydrogenase

Rapid mixing, kinetic experiments were performed on native and modified [Tyr(3NO2)237)] porcine H4 lactate dehydrogenase at low temperatures in a medium containing 30% dimethyl sulphoxide. In the temperature range -16 to +8 degrees C, the modified enzyme-NADH complex, when mixed with 1 mM pyruvate, is converted to enzyme, NAD+ and lactate at two distinctly different rates. At -16 degrees C the more rapid process occurs at a rate of 40 s-1 and the slower at 3 s-1. The slower rate is identical to that assigned to the steady-state turnover of the enzyme in these conditions and therefore reflects the slow, rate-limiting rearrangement of protein structure which has been inferred from previous kinetic experiments. The fast phase of NADH oxidation, however, proceeds at a rate which coincides with that of the closure of a loop of polypeptide over the active site of the enzyme (sensed by the nitrotyrosine group, which protonates in response to the approach of glutamate 107, a residue situated on this mobile loop). We explain these results by proposing that: (i) both the slow and fast changes in protein structure must occur before the enzyme can accomplish the redox step, (ii) the enzyme-NADH (binary) complex exists in two, slowly interconverting forms, (iii) the structural change giving rise to this slow conformational equilibrium can also occur in the ternary (enzyme-NADH-pyruvate) complex and (iv) it is this step which limits the rate of the steady-state reaction. Both of the binary forms are able to bind pyruvate, but the rate of NADH oxidation in one of the forms is rapid, since it has already undergone this slow rearrangement. In this rapidly reacting form, it is the closure of the loop (not transfer of the hydride ion) which limits the rate at which the coenzyme is oxidized, while the slowly reacting form must undergo both loop-closure and the slow structural conversion before the redox reaction can occur.