Homotropic allosteric regulation in monomeric mammalian glucokinase

Glucokinase catalyzes the ATP-dependent phosphorylation of glucose, a chemical transformation that represents the rate-limiting step of glycolytic metabolism in the liver and pancreas. Glucokinase is a central regulator of glucose homeostasis as evidenced by its association with two disease states, maturity onset diabetes of the young (MODY) and persistent hyperinsulinemia of infancy (PHHI). Mammalian glucokinase is subject to homotropic allosteric regulation by glucose-the steady-state velocity of glucose-6-phosphate production is not hyperbolic, but instead displays a sigmoidal response to increasing glucose concentrations. The positive cooperativity displayed by glucokinase is intriguing since the enzyme functions as a monomer under physiological conditions and contains only a single binding site for glucose. Despite the existence of several models of kinetic cooperativity in monomeric enzymes, a consensus has yet to be reached regarding the mechanism of allosteric regulation in glucokinase. Experimental evidence collected over the last 45 years by a number of investigators supports a link between cooperativity and slow conformational reorganizations of the glucokinase scaffold. In this review, we summarize advances in our understanding of glucokinase allosteric regulation resulting from recent X-ray crystallographic, pre-equilibrium kinetic and high-resolution nuclear magnetic resonance investigations. We conclude with a brief discussion of unanswered questions regarding the mechanistic basis of kinetic cooperativity in mammalian glucokinase.     

The dependence of flux,sensitivity and response of the flux on the concentrations of substrate and modifiers for cooperative enzymes

The sensitivity (change of flux per unit change in the concentration of substrate) and response (change of flux per unit change in the concentration of modifier) are studied for a two-site Adair model in which cooperativity arises from both binding and catalytic interactions. For positive cooperativity, the sensitivity is weakly dependent on the Hill coefficient for the binding case, but can increase without limit for the catalytic case. Negatively cooperative enzymes (binding only) give very large sensitivities compared with positively or non-interacting systems, but the sensitivity rapidly decreases as the saturation increases above 25%. Modifiers greatly enhance the sensitivity; large changes in flux can be obtained for small changes in the concentrations of substrates and modifiers. In general, increasing the degree of kinetic cooperativity decreases the degree of binding cooperativity; selective pressure to maximize the sensitivity and response of allosteric enzymes may act to optimize cooperativity of binding modifiers and kinetic cooperativity of substrate turnover. The initial velocity equations including modifiers can be extended to bi-substrate, cooperative kinetics. The kinetics of methanol dehydrogenase are discussed.     

A novel type of allosteric regulation: functional cooperativity in monomeric proteins

Cooperative functional properties and allosteric regulation in cytochromes P450 play an important role in xenobiotic metabolism and define one of the main mechanisms of drug-drug interactions. Recent experimental results suggest that ability to bind simultaneously two or more small organic molecules can be the essential feature of cytochrome P450 fold, and often results in rich and complex pattern of allosteric behavior. Manifestations of non-Michaelis kinetics include homotropic and heterotropic activation and inhibition effects depending on the stoichiometric ratios of substrate and effector, changes in the regio- and stereospecificity of catalytic transformations, and often give rise to the clinically important drug-drug interactions. In addition, functional response of P450 systems is modulated by the presence of specific and non-specific effector molecules, metal ions, membrane incorporation, formation of homo- and hetero-oligomers, and interactions with the protein redox partners. In this article we briefly overview the main factors contributing to the allosteric effects in cytochromes P450 with the main focus on the sources of cooperative behavior in xenobiotic metabolizing monomeric heme enzymes with their conformational flexibility and extremely broad substrate specificity. The novel mechanism of functional cooperativity in P450 enzymes does not require substantial binding cooperativity, rather it implies the presence of one or more binding sites with higher affinity than the single catalytically active site in the vicinity of the heme iron.     

A specific human lysophospholipase: cDNA cloning, tissue distribution and kinetic characterization

Lysophospholipases are critical enzymes that act on biological membranes to regulate the multifunctional lysophospholipids; increased levels of lysophospholipids are associated with a host of diseases. Herein we report the cDNA cloning of a human brain 25 kDa lysophospholipid-specific lysophospholipase (hLysoPLA). The enzyme (at both mRNA and protein levels) is widely distributed in tissues, but with quite different abundances. The hLysoPLA hydrolyzes lysophosphatidylcholine in both monomeric and micellar forms, and exhibits apparent cooperativity and surface dilution kinetics, but not interfacial activation. Detailed kinetic analysis indicates that the hLysoPLA binds first to the micellar surface and then to the substrate presented on the surface. The kinetic parameters associated with this surface dilution kinetic model are reported, and it is concluded that hLysoPLA has a single substrate binding site and a surface recognition site. The apparent cooperativity observed is likely due to the change of substrate presentation. In contrast to many non-specific lipolytic enzymes that exhibit lysophospholipase activity, hLysoPLA hydrolyzes only lysophospholipids and has no other significant enzymatic activity. Of special interest, hLysoPLA does not act on plasmenylcholine. Of the several inhibitors tested, only methyl arachidonyl fluorophosphonate (MAFP) potently and irreversibly inhibits the enzymatic activity. The inhibition by MAFP is consistent with the catalytic mechanism proposed for the enzyme - a serine hydrolase with a catalytic triad composed of Ser-119, Asp-174 and His-208.     

Kinetic analysis of two purified forms of arginine kinase: absence of cooperativity in substrate binding of dimeric phosphagen kinase

Arginine kinase from sea urchin eggs and sea cucumber muscle are dimeric enzymes, unlike the more widely distributed monomeric enzyme found in other invertebrates. Both purified enzymes exhibited features characteristic of the monomeric arginine kinases including pH optima, formation of a catalytic dead-end complex (enzyme-MgADP-arginine) and stabilization of this complex by monovalent anions. A complete analysis of initial velocity data, in both directions for each substrate, indicated that substrate binding cooperativity was either minimal or non-existent. Unlike many other multi-subunit enzymes, the significance of the dimeric state of the phosphagen kinases remains unclear. These present results would suggest that (a) cooperativity, or so-called synergism in substrate binding is not a characteristic of the dimeric state of the protein and (b) the functional significance of the dimeric state is not related to the ability of some of these enzymes to undergo cooperativity in substrate binding. The significance of the dimeric state for the creatine kinases and arginine kinases remains to be established.     

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.     

Effect of Multimeric Structure of CaMKII in the GluN2B-Mediated Modulation of Kinetic Parameters of ATP

Interaction of GluN2B subunit of N-methyl-D-aspartate receptor with calcium/calmodulin dependent protein kinase II (CaMKII) is critical for the induction of long term potentiation at hippocampal CA3-CA1 synapses. We have previously reported that CaMKII binding to GluN2B increases its affinity but abolishes the cooperativity for ATP. In the present study, we demonstrate that the reduction in S_0.5 for ATP of an individual CaMKII subunit seems to be directly induced by the binding of GluN2B to the same subunit, while any GluN2B induced effects on the cooperativity and maximal velocity would additionally require the CaMKII holoenzyme structure. We measured the apparent kinetic parameters for ATP using an association domain truncated monomeric CaMKII and a heteromultimeric CaMKII (having subunits that are either GluN2B binding defective or ATP binding defective), in the presence of GluN2A or GluN2B substrates. The S_0.5 value for ATP of monomeric CaMKII is reduced ∼ 3 fold by the presence of GluN2B suggesting that the induced change in affinity for ATP is independent of the holoenzyme structure. The heteromultimeric mutant of CaMKII, did not exhibit cooperativity of ATP binding probably because of the interspersing of ATP binding defective subunits in the holoenzyme. In contrast to the wild type holoenzyme, presence of GluN2B increased the V_max of monomeric CaMKII which resulted in an approximately 4.0 fold increase in the apparent catalytic constant (V_max/S_0.5) as compared to GluN2A. The kinetic parameter values of the heteromultimeric CaMKII for ATP, on the other hand, did not show any significant difference between the phosphorylation of GluN2B and GluN2A suggesting that modulation requires binding of GluN2B to the same subunit. Overall, our present study provides insights into the role of multimeric structure of CaMKII in GluN2B-mediated regulation.     

Mathematical modelling of dynamics and control in metabolic networks. II. Simple dimeric enzymes

The dynamics of enzyme cooperativity are examined by studying a homotropic dimeric enzyme with identical reaction sites, both of which follow irreversible Michaelis-Menten kinetics. The problem is approached via scaling and linearization of the governing mass action kinetic equations. Homotropic interaction between the two sites are found to depend on three dimensionless groups, two for the substrate binding step and one for the chemical transformation. The interaction between the two reaction sites is shown capable of producing dynamic behavior qualitatively different from that of a simple Michaelis-Menten system; when the two sites interact to increase enzymatic activity over that of two independent monomeric enzymes (positive cooperativity) damped oscillatory behavior is possible, and for negative cooperativity in the chemical transformation step a multiplicity of steady states can occur, with one state unstable and leading to runaway behavior. Linear analysis gives significant insight into system dynamics, and their parametric sensitivity, and a way to identify regions of the parameter space where the approximate quasi-stationary and quasi-equilibrium analyses are appropriate.     

Multiple Escherichia coli RecQ Helicase Monomers Cooperate to Unwind Long DNA Substrates: A FLUORESCENCE CROSS-CORRELATION SPECTROSCOPY STUDY*

The RecQ family helicases catalyze the DNA unwinding reaction in an ATP hydrolysis-dependent manner. We investigated the mechanism of DNA unwinding by the Escherichia coli RecQ helicase using a new sensitive helicase assay based on fluorescence cross-correlation spectroscopy (FCCS) with two-photon excitation. The FCCS-based assay can be used to measure the unwinding activity under both single and multiple turnover conditions with no limitation related to the size of the DNA strands constituting the DNA substrate. We found that the monomeric helicase was sufficient to perform the unwinding of short DNA substrates. However, a significant increase in the activity was observed using longer DNA substrates, under single turnover conditions, originating from the simultaneous binding of multiple helicase monomers to the same DNA molecule. This functional cooperativity was strongly dependent on several factors, including DNA substrate length, the number and size of single-stranded 3′-tails, and the temperature. Regarding the latter parameter, a strong cooperativity was observed at 37 °C, whereas only modest or no cooperativity was observed at 25 °C regardless of the nature of the DNA substrate. Consistently, the functional cooperativity was found to be tightly associated with a cooperative DNA binding mode. We also showed that the cooperative binding of helicase to the DNA substrate indirectly accounts for the sigmoidal dependence of unwinding activity on ATP concentration, which also occurs only at 37 °C but not at 25 °C. Finally, we further examined the influences of spontaneous DNA rehybridization (after helicase translocation) and the single-stranded DNA binding property of helicase on the unwinding activity as detected in the FCCS assay.     

Filament compliance influences cooperative activation of thin filaments and the dynamics of force production in skeletal muscle

Striated muscle contraction is a highly cooperative process initiated by Ca²⁺ binding to the troponin complex, which leads to tropomyosin movement and myosin cross-bridge (XB) formation along thin filaments. Experimental and computational studies suggest skeletal muscle fiber activation is greatly augmented by cooperative interactions between neighboring thin filament regulatory units (RU-RU cooperativity; 1 RU = 7 actin monomers+1 troponin complex+1 tropomyosin molecule). XB binding can also amplify thin filament activation through interactions with RUs (XB-RU cooperativity). Because these interactions occur with a temporal order, they can be considered kinetic forms of cooperativity. Our previous spatially-explicit models illustrated that mechanical forms of cooperativity also exist, arising from XB-induced XB binding (XB-XB cooperativity). These mechanical and kinetic forms of cooperativity are likely coordinated during muscle contraction, but the relative contribution from each of these mechanisms is difficult to separate experimentally. To investigate these contributions we built a multi-filament model of the half sarcomere, allowing RU activation kinetics to vary with the state of neighboring RUs or XBs. Simulations suggest Ca²⁺ binding to troponin activates a thin filament distance spanning 9 to 11 actins and coupled RU-RU interactions dominate the cooperative force response in skeletal muscle, consistent with measurements from rabbit psoas fibers. XB binding was critical for stabilizing thin filament activation, particularly at submaximal Ca²⁺ levels, even though XB-RU cooperativity amplified force less than RU-RU cooperativity. Similar to previous studies, XB-XB cooperativity scaled inversely with lattice stiffness, leading to slower rates of force development as stiffness decreased. Including RU-RU and XB-RU cooperativity in this model resulted in the novel prediction that the force-[Ca²⁺] relationship can vary due to filament and XB compliance. Simulations also suggest kinetic forms of cooperativity occur rapidly and dominate early to get activation, while mechanical forms of cooperativity act more slowly, augmenting XB binding as force continues to develop.     

Mass spectrometry reveals that the antibiotic simocyclinone D8 binds to DNA gyrase in a "bent-over" conformation: evidence of positive cooperativity in binding

DNA topoisomerases are enzymes that control DNA topology and are vital targets for antimicrobial and anticancer drugs. Here we present a mass spectrometry study of complexes formed between the A subunit of the topoisomerase DNA gyrase and the bifunctional inhibitor simocyclinone D8 (SD8), an antibiotic isolated from Streptomyces. These studies show that, in an alternative mode of interaction to that found by X-ray crystallography, each subunit binds a single bifunctional inhibitor with separate binding pockets for the two ends of SD8. The gyrase subunits form constitutive dimers, and fractional occupancies of inhibitor-bound states show that there is strong allosteric cooperativity in the binding of two bifunctional ligands to the dimer. We show that the mass spectrometry data can be fitted to a general model of cooperative binding via an extension of the "tight-binding" approach, providing a rigorous determination of the dissociation constants and degree of cooperativity. This general approach will be applicable to other systems with multiple binding sites and highlights mass spectrometry's role as a powerful emerging tool for unraveling the complexities of biomolecular interactions.     

Binding of fructose-6-phosphate to phosphofructokinase from yeast.

Yeast phosphofructokinase binds one molecule of fructose-6-phosphate per subunit. The binding curve exhibits sigmoidality and yields a good fit to an equation derived from the kinetic model as developed previously for this enzyme. The results show that the allosteric kinetic response of the enzyme to fructose-6-phosphate is due to cooperativity of the binding process.     

Co-operativity in monomeric enzymes

It has been known for at least 20 years that monomeric enzymes can in principle show kinetic behaviour similar in appearance to the binding of ligands to oligomeric proteins in which there are co-operative interactions between multiple binding sites. However, the initial lack of experimental examples of kinetic co-operativity suggested that in nature co-operativity always arose from interactions between binding sites. Now, however, several examples are known, most of which cannot be explained in terms of multiple binding sites on one polypeptide chain. All current theoretical models for monomeric co-operativity postulate that it arises from the presence in the mechanism of parallel pathways for substrate binding that are slow compared with the possible rate of the catalytic reaction. Rapid removal of the intermediates produced in the slow steps prevents them from approaching equilibrium and allows the appearance of kinetic properties that would not be possible in systems at equilibrium.     

Binding isotherms and the interaction between proflavine and a DNA of high G · C content

Binding isotherms corresponding to several situations of ligand binding to a linear polymer are calculated, including cases of cooperativity or anticooperativity between the bound ligand states, multiple binding modes that are competitive or non competitive, and possible exclusion of an arbitrary number of adjacent sites upon occupancy of a site by a single ligand. The sequence generating function method of Lifson and Bradley is used, requiring the assumption that no end effects are involved. The case of strong binding of the dye proflavine to a DNA of high G. C content, that of M. lysodeikticus, is considered in detail, and a single model capable of reconciling the available kinetic and equilibrium data on this system, involving two competing binding modes, is discussed.     

A quantitative model for allosteric control of purine reduction by murine ribonucleotide reductase

The reduction of purine nucleoside diphosphates by murine ribonucleotide reductase requires catalytic (R1) and free radical-containing (R2) enzyme subunits and deoxynucleoside triphosphate allosteric effectors. A quantitative 16 species model is presented, in which all pertinent equilibrium constants are evaluated, that accounts for the effects of the purine substrates ADP and GDP, the deoxynucleoside triphosphate allosteric effectors dGTP and dTTP, and the dimeric murine R2 subunit on both the quaternary structure of murine R1 subunit and the dependence of holoenzyme (R1(2)R2(2)) activity on substrate and effector concentrations. R1, monomeric in the absence of ligands, dimerizes in the presence of substrate, effectors, or R2(2) because each of these ligands binds R1(2) with higher affinity than R1 monomer. This leads to apparent positive heterotropic cooperativity between substrate and allosteric effector binding that is not observed when binding to the dimeric protein itself is evaluated. Allosteric activation results from an increase in k(cat) for substrate reduction upon binding of the correct effector, rather than from heterotropic cooperativity between effector and substrate. Neither the allosteric site nor the active site displays nucleotide base specificity: dissociation constants for dGTP and dTTP are nearly equivalent and K(m) and k(cat) values for both ADP and GDP are similar. R2(2) binding to R1(2) shows negative heterotropic cooperativity vis-à-vis effectors but positive heterotropic cooperativity vis-à-vis substrates. Binding of allosteric effectors to the holoenzyme shows homotropic cooperativity, suggestive of a conformational change induced by activator binding. This is consistent with kinetic results indicating full dimer activation upon binding a single equivalent of effector per R1(2)R2(2).     

Biological significance of autoregulation through steady state analysis of genetic networks

Autoregulation of regulatory proteins is a recurring theme in genetic networks. Autoregulation is an important component of a genetic regulatory network besides protein-protein and protein-DNA interactions, stoichiometry, multiple binding sites and cooperativity. Although the biological significance of autoregulation has been studied before, its significance in presence of other mechanisms is not clearly enumerated. We have analyzed at steady state the significance of autoregulation in presence of other molecular mechanisms by considering hypothetical genetic networks. We demonstrate that autoregulation of a regulatory protein can impart amplification to the response. Further, autoregulation of an activator binding to the DNA as a dimer can introduce bistability, thus forcing the system to reside in two distinct steady states. In combination with autoregulation, cooperative binding can further increase the sensitivity and can yield a highly ultrasensitive response. We conclude that autoregulation with the help of other molecular mechanisms can impart distinct system level properties such as amplification, sensitivity and bistability. The results are further discussed in relation to various examples of genetic networks that exist in biological systems.     

Thermodynamic and kinetic analysis of sensitivity amplification in biological signal transduction

Based on a thermodynamic analysis of the kinetic model for the protein phosphorylation-dephosphorylation cycle, we study the ATP (or GTP) energy utilization of this ubiquitous biological signal transduction process. It is shown that the free energy from hydrolysis inside cells, DeltaG (phosphorylation potential), controls the amplification and sensitivity of the switch-like cellular module; the response coefficient of the sensitivity amplification approaches the optimal 1 and the Hill coefficient increases with increasing DeltaG. We discover that zero-order ultrasensitivity is mathematically equivalent to allosteric cooperativity. Furthermore, we show that the high amplification in ultrasensitivity is mechanistically related to the proofreading kinetics for protein biosynthesis. Both utilize multiple kinetic cycles in time to gain temporal cooperativity, in contrast to allosteric cooperativity that utilizes multiple subunits in a protein.     

D-glyceraldehyde-3-phosphate dehydrogenase subunit cooperativity studied using immobilized enzyme forms

Tetrameric D-glyceraldehyde-3-phosphate dehydrogenase (EC 1.2.1.12) isolated from rabbit skeletal muscle was covalently bound to CNBr-activated Sepharose 4B via a single subunit. Catalytically active immobilized dimer and monomeric forms of the enzyme were prepared after urea-induced dissociation of the tetramer. A study of the coenzyme-binding properties of matrix-bound tetrameric, dimeric and monomeric species has shown that: (1) an immobilized tetramer binds NAD+ with negative cooperativity, the dissociation constants being 0.085 microM for the first two coenzyme molecules and 1.3 microM for the third and the fourth one; (2) coenzyme binding to the dimeric enzyme form also displays negative cooperativity with Kd values of 0.032 microM and 1.1 microM for the first and second sites, respectively; (3) the binding of NAD+ to a monomer can occur with a dissociation constant of 1.6 microM which is close to the Kd value for low-affinity coenzyme binding sites of the tetrameric or dimeric enzyme forms. In the presence of NAD+ an immobilized monomer acquires a stability which is not inferior to that of a holotetramer. The catalytic properties of monomeric and tetrameric enzyme forms were compared and found to be different under certain conditions. Thus, the monomers of rabbit muscle D-glyceraldehyde-3-phosphate dehydrogenase displayed a hyperbolic kinetic saturation curve for NAD+, whereas the tetramers exhibited an intermediary plateau region corresponding to half-saturating concentrations of NAD+. At coenzyme concentrations below half-saturating a monomer is more active than a tetramer. This difference disappears at saturating concentrations of NAD+. Immobilized monomeric and tetrameric forms of D-glyceraldehyde-3-phosphate dehydrogenase from baker's yeast were also used to investigate subunit interactions in catalysis. The rate constant of inactivation due to modification of essential arginine residues in the holoenzyme decreased in the presence of glyceraldehyde 3-phosphate, probably as a result of conformational changes accompanying catalysis. This effect was similar for monomeric and tetrameric enzyme forms at saturating substrate concentrations, but different for the two enzyme species under conditions in which about one-half of the active centers remained unsaturated. Taken together, the results indicate that association of D-glyceraldehyde-3-phosphate dehydrogenase monomers into a tetramer imposes some constraints on the functioning of the active centers.(ABSTRACT TRUNCATED AT 400 WORDS)     

Perturbation of molecular species distribution in steady states supported by a flow of energy. Models analogous to Ca2(+)-dependent ATPase and phosphorylase b

When an allosteric macromolecular system is capable of existing in two conformations, both of which may be converted into energy-storing forms by the binding of a substrate or by the absorption of radiant energy, then a kinetic process may occur, such as an enzymic conversion of the substrate into products, which liberates energy and selectively depletes one or more of the forms of the macromolecule. Upon a continuous supply of energy, a steady state, or pseudoequilibrium, is reached during which the selective depletion of molecular species results effectively in a directional flow of energy through the system. This perturbs the distribution of the various molecular species. This effect may simulate both positive and negative binding cooperativity, and mimic the presence of multiple binding sites with different affinities even in monomeric, monovalent systems. Specific model systems are presented analogous to the transport of Ca2+ by sarcoplasmic reticulum and the allosteric behavior of phosphorylase b.     

Effect of coenzymes on the quaternary structure conformation of glyceraldehyde-3-phosphate dehydrogenases of mung beans and rabbit muscle.

Kinetics of thermal inactivation of glyceraldehyde-3-phosphate dehydrogenases of mung beans and rabbit muscle have been studied under different pH conditions in the absence and presence of various concentrations of NAD+ and NADH. The data have been discussed with respect to the effect of the coenzymes on the quaternary structure symmetry of the two enzymes and their binding isotherms. Both the (homo-tetrameric) apo-enzymes exhibit biphasic kinetics of thermal inactivation, characteristic of C2 symmetry, at lower pH values and a single exponential decay of enzyme activity, characteristic of D2 symmetry, at higher pHs. In each case, NAD+ has no effect on the biphasic kinetic pattern of thermal inactivation at lower pH values, but NADH brings about a change to single exponential decay. At higher pH values, NADH does not affect the kinetic pattern (single exponential decay) of any enzyme, but NAD+ alters it to biphasic kinetics in each case. The data suggest that NAD+ and NADH have higher affinity for the C2 and D2 symmetry conformation, respectively. With mung beans enzyme, the effect of NAD+ on the two rate constants of biphasic inactivation at pH 7.3 is consistent with a Kdiss equal to 110 microM. The NAD(+)-dependent changes in the kinetic pattern of thermal inactivation of this enzyme at pH 8.6 suggest a positive cooperativity in the coenzyme binding (nH = 3.0). In the binding of NADH to the mung beans enzyme, a weak positive cooperativity is observed at pH 7.3.(ABSTRACT TRUNCATED AT 250 WORDS)