Subunit interactions in enzyme transition states--antagonism between substrate binding and reaction rate

The principles of structural kinetics as applied to polymeric enzymes have been reinvestigated in order to take account of the probable existence of subunit interactions in the enzyme transition states. On the basis of simple and plausible postulates, structural rate equations have been derived for dimeric enzymes and compared to substrate binding isotherms. It then becomes possible to understand how subunit interactions affect substrate affinity and enzyme reaction rate. There exists an antagonism between substrate binding to the enzyme and the steady state rate of product appearance. If subunit interactions increase the rate of product appearance, they decrease the fractional saturation of the enzyme by the substrate. Alternatively, if they decrease the reaction velocity they increase the fractional saturation. This seemingly paradoxical effect is the direct consequence of subunit interactions occurring in both the ground and the transition states.     

Double-site enzymes and squatting. A study of the regulation by one or several ligands binding at two different classes of site

The existence of two (generally different) binding sites per protomer for the same ligand has already been observed (“double-site enzymes”). Furthermore, in some instances, the two sites appear to be shared in common by two or more ligands (“squatting”). The theoretical implications of such cases have been emphasized here using a generalization of an allosteric V model. This model, by taking into account the competition between ligands which occurs in vivo, evidences various, or even peculiar regulatory patterns, and could be of general physiological interest. It has been illustrated here by some real systems.     

The nature of the allosteric interactions of ribonuclease and its ligands.

The allosteric model for ribonuclease activity by Walker, Ralston & Darvey [(1975) Biochem.J. 147, 425--433; (1976) Biochem.J. 153, 329--337] involves the binding of a large number of molecules of substrate or substrate analogue to a series of allosteric sites on the enzyme. In the present paper, the nature of these allosteric interactions is investigated. The effects of ionic strength pH carbamoylation of lysine to homocitrulline and of deamidation of glutamine and asparagine on plots of velocity versus substrate concentration are examined and evidence is presented that the allosteric transition involves an electrostatic interaction between the negatively charged substrate molecules and the cationic groups on the enzyme.     

Deregulation of allosteric response of Lactococcus lactis prolidase and its effects on enzyme activity

The allosteric behaviour of Lactococcus lactis prolidase (Xaa-Pro dipeptidase) of this proline-specific peptidase was investigated where it was hypothesized that intersubunit interactions between a loop structure and three residues near the active site contributed to this behaviour. Seven mutant prolidases were constructed, and it was observed that the loopless mutant and His303 substitution inactivated the enzyme. Ser307 substitution revealed that this residue influenced the substrate binding, as judged from its kinetic constants and substrate specificity; however, this residue did not contribute to allostery of prolidase. R293S mutation resulted in the disappearance of the allosteric behaviour yielding a Hill constant of 0.98 while the wild type had a constant of 1.58. In addition, the R293S mutation suppressed the substrate inhibition that was observed in other mutants and wild type. The K_m value of R293S was 2.9-fold larger and V_max was approximately 50% less as compared to the wild type. The results indicated that Arg293 increased the affinity for substrates while introducing allosteric behaviour and substrate inhibition. Computer modelling suggested that negative charges on the loop structure interacted with Arg293 and Ser307 to maintain these characteristics. It was, therefore, concluded that Arg293, His303, Ser307 and the loop contributed to the enzyme's allosteric characteristics.     

Structure of yeast hexokinase: IV. Low-resolution structure of enzyme—Substrate complexes revealing negative co-operativity and allosteric interactions

We conclude from X-ray diffraction studies at low resolution (7 Å) that the binding of sugar and nucleotide substrates to dimeric yeast hexokinase BII crystals exhibits both negative co-operativity and positive allosteric co-operativity. Difference electron density maps show the positions of sugar and nucleotide binding sites and extensive substrate-induced structural changes in the protein. Sugar substrates and inhibitors bind in the deep cleft that divides each subunit into two lobes and nucleotide substrates bind nearby to one site per dimer, which lies between the subunits and on the molecular symmetry axis. Although the inhibitors o- and p-iodobenzoylglucosamine and o-toluoylglucosamine bind equally to both subunits, the degree of substitution of glucose or xylose is very different for the two subunits. The substrate analog β, γ-imido ATP shows only one strong binding site per dimer. This negative co-operativity in substrate binding may result from the heterologous or non-equivalent association of the two subunits (Anderson et al., 1974), which provides non-equivalent environments for the two chemically identical subunits.Further, there is a positive allosteric interaction between the sugar and nucleotide binding sites. Sugar binding is required for nucleotide binding at the intersubunit site and the binding of nucleotide modifies the binding of sugars. These positive heterotropic interactions appear to be mediated by extensive substrate-induced structural changes in the enzyme.     

Cooperativity in the inhibition of P-glycoprotein-mediated daunorubicin transport: evidence for half-of-the-sites reactivity

P-Glycoprotein (Pgp) is an important transport enzyme composed of two homologous domains and transports a wide range of structurally diverse xenobiotics from the cell. Recent studies have indicated that allosteric interactions occur between the nucleotide binding domains and between the substrate binding domains of the two halves, but the extent of this interaction as well as the means by which the enzyme can transport such a wide variety of substrates has not been elucidated. Herein, the Pgp-mediated transport of a marker substrate, daunorubicin (DNR), out of viable cells was examined in the presence of a variety of other known substrates of Pgp. For most of the typical Pgp substrates examined, the relationship between inhibition of DNR efflux and competing substrate concentration was sigmoidal and therefore not a simple mutually exclusive competitive inhibition of transport. The Hill coefficient ranged from about 3 to 5 for the inhibition of transport of DNR. This negative cooperativity in combination with recent evidence, including several examples of noncompetitive inhibition between the homologous halves of Pgp, indicates a "half-of-the-sites" reactivity. Our data support the mechanistic proposal that substrate binding at one putative transport binding site precludes activity at another unequal site; many of the substrates examined exert a negative allosteric effect on the other transport site (and vice versa). A half-of-the-sites reactivity model would account for many of these observations and may be critical to the efficiency of Pgp substrate transport of a broad spectrum of compounds.     

H/D Exchange Characterization of Silent Coupling: Entropy-Enthalpy Compensation in Allostery

The allosteric coupling constant in K-type allosteric systems is defined as a ratio of the binding of substrate in the absence of effector to the binding of the substrate in the presence of a saturating concentration of effector. As a result, the coupling constant is itself an equilibrium value comprised of a ΔH and a TΔS component. In the scenario in which TΔS completely compensates ΔH, no allosteric influence of effector binding on substrate affinity is observed. However, in this “silent coupling” scenario, the presence of effector causes a change in the ΔH associated with substrate binding. A suggestion has now been made that “silent modulators” are ideal drug leads because they can be modified to act as either allosteric activators or inhibitors. Any attempt to rationally design the effector to be an allosteric activator or inhibitor is likely to be benefitted by knowledge of the mechanism that gives rise to coupling. Hydrogen/deuterium exchange with mass spectrometry detection has now been used to identify regions of proteins that experience conformational and/or dynamic changes in the allosteric regulation. Here, we demonstrate the expected temperature dependence of the allosteric regulation of rabbit muscle pyruvate kinase by Ala to demonstrate that this effector reduces substrate (phosphoenolpyruvate) affinity at 35°C and at 10°C but is silent at intermediate temperatures. We then explore the use of hydrogen/deuterium exchange with mass spectrometry to evaluate the areas of the protein that are modified in the mechanism that gives rise to the silent coupling between Ala and phosphoenolpyruvate. Many of the peptide regions of the protein identified as changing in this silent system (Ala as the effector) were included in changes previously identified for allosteric inhibition by Phe.     

Coupling between substrate binding and allosteric regulation in ribozyme catalysis

The contribution of substrate binding to allosteric regulation in the ribozyme catalysis has been investigated using allosteric ribozymes consisting of the hammerhead ribozyme and a flavin mononucleotide (FMN) aptamer. Kinetic parameters were measured for various lengths of the substrates with a wide range of binding energy. The maximum cleavage rate of each ribozyme was retained with the long substrates. However, the cleavage rates largely decreased by the truncation of the substrates according to loss in the free energy of substrate binding. The high sensitivity to the substrate lengths is attributed to the increase in the energetic requirement for the catalytic core folding, which is caused by the incorporation of the aptamer region. One role of FMN binding is assisting the promotion of the core folding through the stabilization of the aptamer domain. The allosteric effect is significantly expressed only when the substrate binding energy is insufficient for the core folding of the ribozyme-substrate complex. This type of allosteric interaction dominates the substrate dependency of another type of regulation. These results demonstrate that an adequate correlation between the type of regulation and the substrate binding is responsible for the effective allosteric interaction in the kinetic process.     

Molecular basis for ATPase-powered substrate translocation by the Lon AAA+ protease

The Lon AAA+ (adenosine triphosphatases associated with diverse cellular activities) protease (LonA) converts ATP-fuelled conformational changes into sufficient mechanical force to drive translocation of a substrate into a hexameric proteolytic chamber. To understand the structural basis for the substrate translocation process, we determined the cryo-electron microscopy (cryo-EM) structure of Meiothermus taiwanensis LonA (MtaLonA) in a substrate-engaged state at 3.6 Å resolution. Our data indicate that substrate interactions are mediated by the dual pore loops of the ATPase domains, organized in spiral staircase arrangement from four consecutive protomers in different ATP-binding and hydrolysis states. However, a closed AAA+ ring is maintained by two disengaged ADP-bound protomers transiting between the lowest and highest position. This structure reveals a processive rotary translocation mechanism mediated by LonA-specific nucleotide-dependent allosteric coordination among the ATPase domains, which is induced by substrate binding.     

Lysine-sensitive aspartokinase of Escherichia coli K12. Synergy and autosynergy in an allosteric V system.

The interactions of the lysine-sensitive aspartokinase of E. coli K12 with lysine and leucine, as evidenced in the inhibition and binding curves, are well explained by the equations of an allosteric V model. Mathematical treatments of such a model lead to new linearized plots. These representations are applied to our experimental results and allow the direct determination of some parameters of the model (equilibrium constant L' and leucine dissociation constants). The other parameters are obtained by an optimization method. The theoretical curves drawn according to this model account well for the synergistic inhibition between lysine and leucine and for the role of the two nonequivalent lysine binding sites ("autosynergy").     

Ionic contacts at DnaK substrate binding domain involved in the allosteric regulation of lid dynamics

To gain further insight into the interactions involved in the allosteric transition of DnaK we have characterized wild-type (wt) protein and three mutants in which ionic interactions at the interface between the two subdomains of the substrate binding domain, and within the lid subdomain have been disrupted. Our data show that ionic contacts, most likely forming an electrically charged network, between the N-terminal region of helix B and an inner loop of the beta-sandwich are involved in maintaining the position of the lid relative to the beta-subdomain in the ADP state but not in the ATP state of the protein. Disruption of the ionic interactions between the C-terminal region of helix B and the outer loops of the beta-sandwich, known as the latch, does not have the same conformational consequences but results equally in an inactive protein. This indicates that a variety of mechanisms can inactivate this complex allosteric machine. Our results identify the ionic contacts at the subdomain and interdomain interfaces that are part of the hinge region involved in the ATP-induced allosteric displacement of the lid away from the peptide binding site. These interactions also stabilize peptide-Hsp70 complexes at physiological (37 degrees C) and stress (42 degrees C) temperatures, a requirement for productive substrate (re)folding.     

A structural basis for the allosteric regulation of non-hydrolysing UDP-GlcNAc 2-epimerases

The non-hydrolysing bacterial UDP-N-acetylglucosamine 2-epimerase (UDP-GlcNAc 2-epimerase) catalyses the conversion of UDP-GlcNAc into UDP-N-acetylmannosamine, an intermediate in the biosynthesis of several cell-surface polysaccharides. This enzyme is allosterically regulated by its substrate UDP-GlcNAc. The structure of the ternary complex between the Bacillus anthracis UDP-GlcNAc 2-epimerase, its substrate UDP-GlcNAc and the reaction intermediate UDP, showed direct interactions between UDP and its substrate, and between the complex and highly conserved enzyme residues, identifying the allosteric site of the enzyme. The binding of UDP-GlcNAc is associated with conformational changes in the active site of the enzyme. Kinetic data and mutagenesis of the highly conserved UDP-GlcNAc-interacting residues confirm their importance in the substrate binding and catalysis of the enzyme. This constitutes the first example to our knowledge, of an enzymatic allosteric activation by direct interaction between the substrate and the allosteric activator.     

The theoretical analysis of kinetic behaviour of “hysteretic” allosteric enzymes. II. The dissociating and associating enzymic systems in which the rate of installation of equilibrium between the oligomeric forms is small in comparison with that of enzymatic reaction

The present paper is concerned with the specificities of kinetic behaviour of dissociating enzyme systems where the equilibrium between oligomeric forms installs rather slowly in comparison with the rate of enzymatic reaction. In the slowly dissociating enzyme systems of the type Np ? P (P is enzyme oligomer and p is a subunit; N ? 2) in which the forms P and p exhibit different allosteric interactions between active and allosteric sites the initial rate of enzymatic reaction (v) versus the substrate concentration (S) or the effector concentration (F) were shown to be of rather complex pattern. In similar systems the v versus [S]₀ plots may show an intermediate plateau, maximum and minimum simultaneously, an intermediate plateau and its preceding S-shape, etc., as well as v versus [F]₀ may show an intermediate plateau.     

Mechanism of substrate inhibition in Escherichia coli phosphofructokinase

Phosphofructokinase from Escherichia coli (EcPFK) is a homotetramer with four active sites, which bind the substrates fructose-6-phosphate (Fru-6-P) and MgATP. In the presence of low concentrations of Fru-6-P, MgATP displays substrate inhibition. Previous proposals to explain this substrate inhibition have included both kinetic and allosteric mechanisms. We have isolated hybrid tetramers containing one wild type subunit and three mutated subunits (1:3). The mutated subunits contain mutations that decrease affinity for Fru-6-P (R243E) or MgATP (F76A/R77D/R82A) allowing us to systematically simplify the possible allosteric interactions between the two substrates. In the absence of a rate equation to explain the allosteric effects in a tetramer, the data have been compared to simulated data for an allosteric dimer. Since the apparent substrate inhibition caused by MgATP binding is not seen in hybrid tetramers with only a single native MgATP binding site, the proposed kinetic mechanism is not able to explain this phenomenon. The data presented are consistent with an allosteric antagonism between MgATP in one active site and Fru-6-P in a second active site.     

Binding of the factor IX gamma-carboxyglutamic acid domain to the vitamin K-dependent gamma-glutamyl carboxylase active site induces an allosteric effect that may ensure processive carboxylation and regulate the release of carboxylated product

Propeptides of the vitamin K-dependent proteins bind to an exosite on gamma-glutamyl carboxylase; while they are bound, multiple glutamic acids in the gamma-carboxyglutamic acid (Gla) domain are carboxylated. The role of the propeptides has been studied extensively; however, the role of the Gla domain in substrate binding is less well understood. We used kinetic and fluorescence techniques to investigate the interactions of the carboxylase with a substrate containing the propeptide and Gla domain of factor IX (FIXproGla41). In addition, we characterized the effect of the Gla domain and carboxylation on propeptide and substrate binding. For the propeptide of factor IX (proFIX18), FIXproGla41, and carboxylated FIXproGla41, the Kd values were 50, 2.5, and 19.7 nM and the koff values were 273 x 10(-5), 9 x 10(-5), and 37 x 10(-5) s(-1), respectively. The koff of proFIX18 is reduced 3-fold by FLEEL and 9-fold by the Gla domain (residues 1-46) of FIX. The pre-steady state rate constants for carboxylation of FIXproGla41 was 0.02 s(-1) in enzyme excess and 0.016 s(-1) in substrate excess. The steady state rate in substrate excess is 4.5 x 10(-4) s(-1). These results demonstrate the following. 1) The pre-steady state carboxylation rate constant of FIXproGla41 is significantly slower than that of FLEEL. 2) The Gla domain plays an allosteric role in substrate-enzyme interactions. 3) Carboxylation reduces the allosteric effect. 4) The similarity between the steady state carboxylation rate constant and product dissociation rate constant suggests that product release is rate-limiting. 5) The increased dissociation rate after carboxylation contributes to the release of product.     

Expression mechanism of the allosteric interactions in a ribozyme catalysis.

The contribution of substrate binding to cooperative regulation in the rate process of ribozyme catalysis has been investigated using allosteric ribozymes. The high sensitivity to the substrate lengths is attributed to the catalytic core folding which proceeds due to the energetic contribution of the substrate binding. One role of the effector (FMN) is the promotion of the core folding through the stabilization of the aptamer domain. Another role is the inhibition of the cleavage chemistry by perturbing the intermediate state in the rate process. The total effects of these two types of kinetic regulation determine the substrate dependency of the cooperative interaction on the catalytic reaction. An adequate correlation between the type of regulation and the substrate binding is responsible for the cooperative interaction in the kinetic process.     

Amino acid substitutions in the sugar kinase/hsp70/actin superfamily conserved ATPase core of E. coli glycerol kinase modulate allosteric ligand affinity but do not alter allosteric coupling

IIA^Glc, the glucose-specific phosphocarrier protein of the phosphoenolpyruvate:glycose phosphotransferase system, is an allosteric inhibitor of Escherichia coli glycerol kinase. A linked-functions initial-velocity enzyme kinetics approach is used to define the MgATP-IIA^Glc heterotropic allosteric interaction. The interaction is measured by the allosteric coupling constants Q and W, which describe the mutual effect of the ligands on binding affinity and the effect of the allosteric ligand on V_max, respectively. Allosteric interactions between these ligands display K-type activation and V-type inhibition. The allosteric coupling constant Q is about 3, showing cooperative coupling such that each ligand increases the affinity for binding of the other. The allosteric coupling constant W is about 0.1, showing that the allosteric inhibition is partial such that binding of IIA^Glc at saturation does not reduce V_max to zero. E. coli glycerol kinase is a member of the sugar kinase/heat shock protein 70/actin superfamily, and an element of the superfamily conserved ATPase catalytic core was identified as part of the IIA^Glc inhibition network because it is required to transplant IIA^Glc allosteric control into a non-allosteric glycerol kinase [A.C. Pawlyk, D.W. Pettigrew, Proc. Natl. Acad. Sci. USA 99 (2002) 11115-11120]. Two of the amino acids at this locus of E. coli glycerol kinase are replaced with those from the non-allosteric enzyme to enable determination of its contributions to MgATP-IIA^Glc allosteric coupling. The substitutions reduce the affinity for IIA^Glc by about 5-fold without changing significantly the allosteric coupling constants Q and W. The insensitivity of the allosteric coupling constants to the substitutions may indicate that the allosteric network is robust or the locus is not an element of that network. These possibilities may arise from differences of E. coli glycerol kinase relative to other superfamily members with respect to oligomeric structure and location of the allosteric site in a single domain far from the catalytic site.     

The Tertiary Origin of the Allosteric Activation of E. coli Glucosamine-6-Phosphate Deaminase Studied by Sol-Gel Nanoencapsulation of Its T Conformer

The role of tertiary conformational changes associated to ligand binding was explored using the allosteric enzyme glucosamine-6-phosphate (GlcN6P) deaminase from Escherichia coli (EcGNPDA) as an experimental model. This is an enzyme of amino sugar catabolism that deaminates GlcN6P, giving fructose 6-phosphate and ammonia, and is allosterically activated by N-acetylglucosamine 6-phosphate (GlcNAc6P). We resorted to the nanoencapsulation of this enzyme in wet silica sol-gels for studying the role of intrasubunit local mobility in its allosteric activation under the suppression of quaternary transition. The gel-trapped enzyme lost its characteristic homotropic cooperativity while keeping its catalytic properties and the allosteric activation by GlcNAc6P. The nanoencapsulation keeps the enzyme in the T quaternary conformation, making possible the study of its allosteric activation under a condition that is not possible to attain in a soluble phase. The involved local transition was slowed down by nanoencapsulation, thus easing the fluorometric analysis of its relaxation kinetics, which revealed an induced-fit mechanism. The absence of cooperativity produced allosterically activated transitory states displaying velocity against substrate concentration curves with apparent negative cooperativity, due to the simultaneous presence of subunits with different substrate affinities. Reaction kinetics experiments performed at different tertiary conformational relaxation times also reveal the sequential nature of the allosteric activation. We assumed as a minimal model the existence of two tertiary states, t and r, of low and high affinity, respectively, for the substrate and the activator. By fitting the velocity-substrate curves as a linear combination of two hyperbolic functions with K _t and K _r as K_M values, we obtained comparable values to those reported for the quaternary conformers in solution fitted to MWC model. These results are discussed in the background of the known crystallographic structures of T and R EcGNPDA conformers. These results are consistent with the postulates of the Tertiary Two-States (TTS) model.     

Nucleotide binding to glycogen phosphorylase b in the crystal.

The binding of the allosteric activator, AMP, and the inhibitor, ATP, to glycogen phosphorylase b has been studied in the crystal at 3 Å resolution. The nucleotides bind to two sites on the enzyme which are identified as site N, the allosteric effector site which is close to the subunit-subunit interface, and site I, a nucleoside inhibitor site which blocks the entrance to the active site crevasse. AMP when bound at the allosteric effector site makes several defined interactions with the enzyme in agreement with the results of solution studies. The contacts involve the N-10 position of the base, the 2′ hydroxyl of the ribose and the phosphate. IMP, analysed at 4 Å resolution, appears to bind in an identical conformation to AMP. At 3 Å resolution no well defined conformational changes are observed on binding AMP, although there are indications of a disturbance of the crystal lattice. It is concluded that the forces which stabilise the crystal lattice prevent the allosteric response of the enzyme in the crystal.