A generalized theory of particulate electron conduction enzymes applied to cytochrome oxidase. A theory of coupled electron and/or ion transport applied to pyruvate carboxylase

A previously developed theory of particulate electron conduction enzymes was based on a model of an enzyme particle catalyzing the oxidation-reduction of two different substrates at two different enzymatic sites on the same particle with conduction of electrons between the two sites through the enzyme particle. Using the simplifying assumption that the percent reduction of the second substrate is held constant, there was previously shown to be a hyperbolic relationship between the first order rate constant (k′) and the sum (C _x ) of oxidized plus reduced substrate, of the formk′=α/(C _x +β), where α and β are positive constants. It is shown here that if this simplifying assumption is omitted, a positive constant is added to the right hand side of this equation, which describes exactly the experimental data of Smith and conrad on cytochrome oxidase. If electron transport is assumed to be coupled to ion transport, this equation becomesk′=(α/C _x )?γ (where γ is a positive constant) which describes the experimental data of Eadie and Gale on pyruvic carboxylase of yeast. It seems probable that the same theory is applicable to coupled ion-ion transport and coupled electron-electron transport in both membranous systems, and in particulate preparations consisting of membrane fragments.     

A generalized theory of particulate electron conduction enzymes applied to cytochrome oxidase. A theory of coupled electron and/or ion transport applied to pyruvate carboxylase

A previously developed theory of particulate electron conduction enzymes was based on a model of an enzyme particle catalyzing the oxidation-reduction of two different substrates at two different enzymatic sites on the same particle with conduction of electrons between the two sites through the enzyme particle. Using the simplifying assumption that the percent reduction of the second substrate is held constant, there was previously shown to be a hyperbolic relationship between the first order rate constant (k′) and the sum (C _x ) of oxidized plus reduced substrate, of the formk′=α/(C _x +β), where α and β are positive constants. It is shown here that if this simplifying assumption is omitted, a positive constant is added to the right hand side of this equation, which describes exactly the experimental data of Smith and conrad on cytochrome oxidase. If electron transport is assumed to be coupled to ion transport, this equation becomesk′=(α/C _x )−γ (where γ is a positive constant) which describes the experimental data of Eadie and Gale on pyruvic carboxylase of yeast. It seems probable that the same theory is applicable to coupled ion-ion transport and coupled electron-electron transport in both membranous systems, and in particulate preparations consisting of membrane fragments.     

The kinetics of the succinoxidase

Rate equations for the enzymatic oxidation of succinic acid are derived on the assumption that when a single molecule of substrate combines with an enzyme molecule, it can do so with either one or two sites on the enzyme, and that oxidation occurs only in the second case. In addition it is assumed that the product of the reaction, fumaric acid, combines reversibly with the enzyme. With certain enzyme preparations the data fitted such an equation satisfactorily. In others the rate was that of a first-order reaction, but addition of cytochrome changed it to the former type. It was concluded that the transfer of hydrogen to oxygen was a first-order reaction and dominated the whole rate when enzyme preparations were used which had been washed relatively free of cytochrome. When the limiting factor was succino-dehydrogenase the rates followed the new equation. Criteria for recognizing noncompetitive inhibition are given, and inhibition by di-tertiary butyl peroxide was shown to be of this type.     

Stepwise binding of nickel to horseradish peroxidase and inhibition of the enzymatic activity

The incubation of horseradish peroxidase C (HRPC) with millimolar concentrations of nickel, at room temperature and at pH 4.0, induced the progressive formation of a metal-enzyme complex characterized by alterations of the enzyme Soret absorption band that were time- as well as nickel concentration- dependent. For any given incubation period between 1 and 60 min, 2 values for the apparent dissociation constant (K(d)) were found, suggesting the presence of binding sites with different affinities for nickel. The value of each K(d) dropped as the incubation time increased, indicating a progressive stabilization of the metal-enzyme complex. Hill plots suggested a cooperative binding of up to four Ni2+ ions per molecule of HRPC. The inhibition of the enzymatic activity by nickel was studied by following the H2O2-mediated oxidation of o-dianisidine by HRPC under steady-state kinetic conditions. Ni2+ was found to be either a noncompetitive or a mixed inhibitor of HRPC depending both on the duration of preincubation with the enzyme and on Ni2+ concentration. The enzyme remained active only over a limited metal concentration range and data indicated that binding of one Ni2+ affected the substrate binding site, binding of a second Ni2+ affected both substrate and peroxide binding sites, and binding of more than 2 Ni2+ per HRPC molecule led to complete loss of enzymatic activity. Results pointed to the damaging effects of prolonged exposure to heavy metals and also to the existence of a critical metal concentration beyond which immediate abolishing of enzymatic activity was observed.     

Enzymatic Activity in the M Band

Experiments which combined histochemistry and electron microscopy were performed in studying the sites of enzymatic hydrolysis of thiolacetic acid in the presence of lead ions in diaphragmatic and cardiac muscle. It was found that in these striated muscles the electron opaque, final product of the histochemical reaction (PbS) was discretely deposited on the swelling of the thick elemental filaments that occurs at the M band. Additional sites of enzymatic activity occurred in mitrochondria and in round sarcoplasmic bodies. A reaction, probably non-enzymatic, also occurred in contraction bands in the area of the Z bands and in the sarcoplasmic reticulum. To ascertain the enzymatic nature of the reaction and to define the enzyme involved, control experiments were carried out and the effect of various esterase inhibitors was assayed. It is suggested that the M band enzyme is a cholinesterase, but the enzymes in the mitochondria and the sarcoplasmic bodies that hydrolyze the substrate appear to be different. A possible role of the M band enzyme is discussed.     

Role of Two Chloride-Binding Sites in Functioning of Testicular Angiotensin-Converting Enzyme

Modeling the structure of the C-domain of bovine angiotensin-converting enzyme revealed two putative chloride-binding sites. The kinetic parameters, K(m) and k(cat), of hydrolysis of the substrate Cbz-Phe-His-Leu catalyzed by the testicular (C-domain) enzyme were determined over a wide range of chloride concentrations. Chloride anions were found to be enzyme activators at relatively low concentrations, but they inhibit enzymatic activity at high concentrations. A general scheme for the effect of chloride anions on activity of the C-domain of bovine angiotensin-converting enzyme accounting for binding the "activating" and "inhibiting" anions is suggested.     

A site in a tRNA precursor that can be processed by the whole RNase P enzyme but not by the RNA alone

A precursor molecule for 10 Sb RNA, the RNA moiety of the RNA processing enzyme RNase P, was purified, characterized for enzymatic activity, and compared to 10 Sb RNA and to RNase P. In these studies the K RNA, a dimeric precursor of tRNAGln-tRNALeu, coded by bacteriophage T4, was used as a substrate. This precursor contains two RNase P cleavage sites, one at each 5' end of the two tRNAs. The precursor 10 Sb and 10 Sb RNAs have the capacity to cleave the precursor tRNA molecule but only at the 5' end of tRNALeu, not at the 5' end of tRNAGln. Even when a substrate was prepared that contained only one site for RNase P (the one next to tRNAGln), this substrate was not cleaved by the RNA alone while the whole enzyme was effective in processing this substrate. The possible function of the protein of RNase P in the enzymatic reaction is discussed.     

Kinetic and physical properties of Co2+ enolase

The activation of yeast enolase by cobaltous ion in 0.1 M KCl is characterized by an activation constant of 1 microM and an inhibition constant of 18 microM. Measurements of binding of Co2+ to the apoenzyme show that a maximum of four Co2+ ions are bound per dimer in the presence or absence of substrate although binding is far tighter in the presence of substrate. Ultraviolet spectral titrations show evidence for a conformational change due exclusively to the binding of the first two ions of Co2+. Both visible and EPR spectra confirm that the environment of the first pair of cobalt ions ("conformational sites") is markedly different from that of the second pair in the "catalytic" sites. Cobalt at the conformational site appears to be a tetragonally distorted octahedral complex while the second pair of metal ions appears to be in a more regular tetrahedral symmetry. Addition of either Mg2+ or substrate to the enzyme with only one pair of cobalt ions per dimer causes striking changes in the metal ion environment. The conformational metal sites appear sufficiently shielded from solvent to be inaccessible to oxidation by H2O2, in contrast to the second pair of cobaltous ions whose ready oxidation by H2O2 inactivates the enzyme. Comparison of kinetic and binding data suggests that only one site of the dimeric enzyme can be active, since activity requires more than two metals bound per dimer and inactivation results from the binding of the fourth ion per dimer.     

Kinetics of enzymatic depolymerization of guar galactomannan

A new mathematical model based on Michaelis Menten (MM) kinetics is developed to predict the changes in molecular weight distribution (MWD) during the enzymatic depolymerization of guar galactomannan. The model accounts for the effect of branching by considering the guar molecule as a substrate having three types of bonds with different MM kinetic parameters. The overall kinetics of the enzymatic reactions then can be represented in terms of composite kinetic parameters that are functions of the MM parameters for the individual bonds. The depolymerization is assumed to follow a random scission mechanism, in which an enzyme randomly attacks the substrate molecule at any one of the three types of bonds, and leaves the substrate on cleavage of the bond. Expressions for the variation in molecular weights during depolymerization are developed by applying moment generating techniques to the kinetic model. The model is evaluated against the complete MWD obtained using gel permeation chromatography. During the initial stages of depolymerization, the enzymatic reaction is in the zero-order regime of MM kinetics and the polydispersity index (PDI) increases with time. Subsequently, the PDI decreases as the depolymerization tends to follow first order kinetics. We also show that for a zero-order, random or nonrandom scission, the variation of PDI with time can exhibit a maximum. These analyses confirm that an increase in PDI during the depolymerization is not necessarily due to nonrandom scission, as previously concluded.     

Mitochondrial GTP-AMP phosphotransferase. 2. Kinetic and equilibrium dialysis studies.

Kinetic and equilibrium dialysis substrate binding studies have been done to investigate the properties of mitochondrial GTP-AMP phosphotransferase. The results show that the enzyme has a specific requirement for divalent metal ions, namely Mg2+, Mn2+ or Ca2+ (Ca2+ is active only in the forward direction, the direction of formation of ADP). The reaction rate depends upon the ratio [Mg2+]:[substrate] rather than on the metal ion concentration alone. The enzymatic activity is influenced by NaCl (or KCl) and optimum pH occurs at 11.5 and 9.5 for guanosine and inosine nucleotides respectively. Examination of binding of substrates to the enzyme showed that there is one binding site (GTP site) for MgGTP, GTP, MgGDP or GDP per molecule of enzyme, with dissociation constants of 4.5, 4.4, 3.0, 2.2 micron respectively and one binding site (AMP site) for AMP, ADP or ATP per molecule of enzyme with dissociation constants of 20.9, 33.4 and 33.4 microns respectively. Since, within the limitations of equilibrium dialysis used in the present studies, AMP binding to one site of the enzyme could be detected only when GDP or GTP is present, the mechanism of the forward reaction may be assumed to be nearly ordered. For the reverse reaction there is no requirement of order of binding of the two nucleotides and so the mechanism of reaction may be assumed to be random.     

Effects of conformational selectivity and of overlapping kinetically influential ionizations on the characteristics of pH-dependent enzyme kinetics. Implications of free-enzyme pKa variability in reactions of papain for its catalytic mechanism.

The effects of selection by a small molecule, when binding to a protein, of a particular conformation from an equilibrium stereopopulation on the characteristics of the pH-dependence of reaction with a reactivity probe or substrate were determined by analysis of an appropriate kinetic model. For reaction in one protonic state containing an equilibrium mixture of two conformational isomers, the pH-second-order rate constant (k) profile is of conventional sigmoidal form. The apparent pKa value is a composite of the pKa values of the two conformational states. The value of pKapp. for a given enzyme under given experimental conditions will always be the same (provided that the site-specificity assumed in the model is maintained) irrespective of whether only one conformation reacts or both react, with the same or with different rate constants. The experimentally determined pH-independent rate constant (kapp.) is an average of the reactivities of the two conformational states weighted in favour of the predominant form. The presence of an additional but unreactive conformational state also affects the value of kapp. The possibility that overlapping acid dissociations that affect the reactivity of the enzyme might provide pH-k profiles often indistinguishable in practice from simple sigmoidal dissociation curves and subject to variability in apparent pKa values was evaluated by a simulation study. If two reactive protonic states of the enzyme respond differently to changes in the structure of the substrate or site-specific reactivity probe, differences in apparent pKa values of up to approx. 1 unit can be exhibited without deviation from sigmoidal behaviour being reliably observed. Differences in apparent pKa values observed in some site-specific reactions of papain and their possible consequences for its catalytic mechanism are discussed.     

Hill coefficient ratios give binding ratios of allosteric enzyme effectors; inhibition, activation, and squatting in deoxycytidylate aminohydrolase (EC 3.5.4.12)

The ratio of the steady-state kinetic Hill coefficients of two different effectors equals (under some rather weak general assumptions) the ratio in which the effectors displace each other from an enzyme. This principle can make implications of experimental allosteric enzyme kinetic data immediately apparent. We can use it to find that one molecule of the allosteric inhibitor of dCMP aminohydrolase, at moderately high effector concentrations, displaces one molecule of substrate, or one molecule of activator, whereas at very high concentrations, one molecule of inhibitor displaces two of substrate. Further use of the principle suggests that substrate, at high concentrations, binds binds to activator sites. However, ratios of substrate, activator, and inhibitor Hill coefficients are incompatible with a simple model of activation in which substrate and activator are bound to the same conformation.     

AMP deaminase from baker's yeast. Kinetic and molecular properties.

The kinetic and molecular properties of AMP deaminase [AMP aminohydrolase, EC 3.5.4.6] purified from baker's yeast (saccharomyces cerevisiae) were investigated. The enzyme was activated by ATP and dATP, but inhibited by Pi and GTP in an allosteric manner. Alkali metal ions and alkaline earth metal ions activated the enzyme to various extent. Kinetic negative cooperativity was observed in the binding of nucleoside triphosphates. Kinetic analysis showed that the number of interaction sites for AMP (substrate) and Pi (inhibitor) is two each per enzyme molecule. The molecular weight of the native enzyme was estimated to be 360,000 by sedimentation equilibrium studies. On polyacrylamide gel electrophoresis in the presence of sodium dodecyl sulfate, the enzyme gave a single polypeptide band with a molecular weight of 83,000, suggesting that the native enzyme has a tetrameric structure. Baker's yeast AMP deaminase was concluded to consist of two "promoter" units which each consist of two polypeptide chains with identical molecular weight.     

The nature of the multiple forms of D-erythrodihydroneopterin triphosphate synthetase.

1. Three forms of the Lactobacillus plantarum enzyme D-erythro-dihydroneopterin triphosphate synthetase, the first enzyme in folate biosynthesis, have been demonstrated by polyacrylamide gel electrophoresis. The enzyme forms designated the alpha prime, alpha and beta forms have been shown to be conformers with molecular weights of approx. 200 000. Study of the subunit structure of the beta enzyme species by sodium dodecylsulfate-polyacrylamide gel electrophoresis revealed a single protein with an estimated molecular weight of 20 000 which suggests that the enzyme molecule may be composed of ten polypeptide chains. 2. Of the three conformers only one form, the beta form, appears to be enzymatically active. The two other conformers must undergo conformational changes to the beta species before enzymatic activity can be demonstrated in reaction mixtures containing these enzyme forms. 3. The three enzyme species are interconvertible. The removal of phosphate ions from the enzymatically active beta form results in the formation of two inactive species which suggests that the conformation of the active enzyme is stabilized by non-covalently bound phosphate ions. Conversion of the inactive species to the beta enzyme form may be effected by the readdition of phosphate, substrate or certain nucleotides.     

Circular dichroism (CD) studies on yeast enolase: activation by divalent cations

The effect of divalent cations on the near ultraviolet circular dichroism (CD) spectrum of yeast enolase showed that calcium, magnesium, and nickel ions produced identical changes. This was interpreted as indicating that the cations bound to the same sites on the enzyme and produced identical changes in tertiary structure. There was no effect of magnesium ion on the far ultraviolet spectrum. Evidently magnesium ion has no effect on the secondary structure. Substrate bound to the enzyme when the above cations were present although calcium permits no enzymatic activity. The CD spectral difference produced by the substrate was nearly the reverse of that produced by the metal ions. Glycolic acid phosphate, a competitive inhibitor lacking carbon-3, produced no effect, indicating carbon-3 was necessary for the CD spectral changes. The CD and visible absorption spectra of nickel and cobalt bound to various sites on the enzyme showed that the binding sites were octahedral or distorted octahedral in coordination and that the ligands appeared to be oxyligands: water molecules, hydroxyl or carboxyl groups. Examination of the effects of substrate and two compounds thought to be "transition state analogues" showed that these perturbed the "conformational" sites of the enzyme. The "catalytic" and "inhibitory" sites did not appear to be very CD active.     

Spatial proximity of two divalent metal ions at the active site of S-adenosylmethionine synthetase

S-Adenosylmethionine synthetase from Escherichia coli is shown to require 2 divalent metal ions/enzyme subunit for maximal enzymatic activity. In the absence of substrate, the tetrameric enzyme binds 1 Mn(II) ion/subunit, whereas in the presence of a nucleotide substrate, adenylylimidodiphosphate, or the product pyrophosphate, there are two Mn(II)-binding sites/subunit. Electron paramagnetic resonance spectra of Mn(II) bound to the enzyme reveal a spin exchange interaction between 2 Mn(II) ions in complexes of enzyme and Mn(II) which also contain adenosylmethionine, K+, and either pyrophosphate or imidotriphosphate. Since a spin exchange interaction requires orbital overlap between the 2 ions, the metal ions must be bound close to one another, and they may share a common ligand.     

Toward delineating the structure and function of the particulate methane monooxygenase from methanotrophic bacteria

The particulate methane monooxygenase (pMMO) is a complex membrane protein complex that has been difficult to isolate and purify for biochemical and biophysical characterization because of its instability in detergents used to solubilize the enzyme. In this perspective, we summarize the progress recently made toward obtaining a purified pMMO-detergent complex and characterizing the enzyme in pMMO-enriched membranes. The purified pMMO is a multi-copper protein, with ca. 15 copper ions sequestered into five trinuclear copper clusters: two for dioxygen chemistry and alkane hydroxylation (catalytic or C-clusters) and three to provide a buffer of reducing equivalents to re-reduce the C-clusters following turnover (electron transfer or E-clusters). The enzyme is functional when all the copper ions are reduced. When the protein is purified under ambient aerobic conditions in the absence of a hydrocarbon substrate, only the C-clusters are oxidized; there is an apparent kinetic barrier for electron transfer from the E-cluster copper ions to the C-clusters under these conditions. Evidence is provided in support of both C-clusters participating in the dioxygen chemistry, but only one C-cluster supporting alkane hydroxylation. Acetylene modification of the latter C-cluster in the hydrophobic pocket of the active site lowers or removes the kinetic barrier for electron transfer from the E-clusters to the C-clusters so that all the copper ions could be fully oxidized by dioxygen. A model for the hydroxylation chemistry when a hydrocarbon substrate is bound to the active site of the hydroxylation C-cluster is presented. Unlike soluble methane monooxygenase (sMMO), pMMO exhibits limited substrate specificity, but the hydroxylation chemistry is highly regioselective and stereoselective. In addition, the hydroxylation occurs with total retention of configuration of the carbon center that is oxidized. These results are consistent with a concerted mechanism involving direct side-on insertion of an active singlet "oxene" from the activated copper cluster across the "C-H" bond in the active site. Finally, in our hands, both the purified pMMO-detergent complex and pMMO-enriched membranes exhibit high NADH-sensitive as well as duroquinol-sensitive specific activity. A possible role for the two reductants in the turnover of the enzyme is proposed.     

Steady state and pre-steady state kinetic properties of rat liver selenium-glutathione peroxidase.

The kinetic properties of partially purified rat liver selenium-glutathione peroxidase were studied under various conditions. Steady state kinetic measurements show sigmoidal saturation curves, parabolic double reciprocal plots, and Hill coefficients greater than unity. Although these kinetic results appear to show cooperative interactions between subunits, they more reflect the presence of several oxidation-reduction forms of the catalytic site. A substrate-induced transition between enzyme forms was evidence by the occurrence of a lag in the attainment of the final steady state velocity under certain preincubation conditions. This hysteretic behavior was evident only when the enzyme was incubated in the absence of reduced glutathione, the donor substrate. Thus, reduced glutathione induces the transition to the fully active form of the enzyme, a slow process requiring about 0.5 min after addition of glutathione, depending on conditions. The length, tau, of the lag period is dependent on the concentrations of enzyme and glutathione, but to a first approximation, this lag period is independent of the concentration of the hydroperoxide acceptor substrate. The lag period is also relatively independent of the nature of the hydroperoxide species. A model for the transition process that is compatible with these observations and with the possible oxidation-reduction properties of the selenium moiety of the enzyme is suggested.     

Effect of association-dissociation on the catalytic properties of glyceraldehyde 3-phosphate dehydrogenase.

The enzymatic activity of d-glyceraldehyde 3-phosphate dehydrogenase depends nonlinearly on protein concentration in the range 3 × 10^?8 to 3 × 10^?6m. With increasing enzyme concentrations the apparently hyperbolic substrate saturation curves turn into sigmoidal ones. From the kinetic and physicochemical data it is assumed that the enzyme exists as an equilibrium mixture of different oligomeric states. The system is found to be consistent with a model characterized by rapid equilibrium between monomer-dimer-tetramer, the tetramer being inactive, assuming identical intrinsic binding constants for the substrate in the monomer and in the dimer.