Patterns of apparent co-operativity in a simple random non-equilibrium enzyme–substrate–modifier mechanism. Comparison with equilibrium allosteric models

It has often been claimed that random non-equilibrium mechanisms can result in apparent homotropic and heterotropic effects in steady-state kinetics of the kind more usually attributed to intersubunit allosteric interactions. However, it has never been shown whether any simple random mechanism could in fact give patterns of apparent interaction similar to those predicted by the well-known allosteric models. The patterns of apparent substrate co-operativity and affinity given by the steady-state of a standard simple random substrate-modifier mechanism in which catalytic velocity is proportional to substrate binding have been analysed mathematically and numerically. All patterns possible with this model are described. Some of them rather resemble those possible with standard allosteric models, in that there is a high-affinity and a low-affinity form at zero and infinite modifier concentrations (or vice versa) which show Michaelian behaviour, apparent co-operativity passing through a maximum or minimum at intermediate affinities. Unlike the allosteric models the family of curves is in principle not symmetrical. The random model can also give behaviour not possible with the standard allosteric models, such as higher substrate affinity at intermediate modifier concentrations than at either zero or infinite modifier, with concomitant negative apparent substrate co-operativity, or a single change of sign of apparent substrate co-operativity. The analysis uses recently discovered simplified forms of steady-state equations for random models.     

Evidence for two nicotinamide binding sites on L-glutamate dehydrogenase

Circular dichroism saturation in the nicotinamide band of NADH, provides direct evidence for the binding of two nicotinamide rings per protomer of L-glutamate dehydrogenase. These two binding sites are titrated by NADH in the presence of both the substrate (L-glutamate) and an allosteric effector (GTP or Zn²⁺) while only one reacts in the absence of the effector. We suggest that the second binding site, not accessible to NADPH, is demasked by a conformational change of the protein induced by the allosteric effector.     

Conditions for effective allosteric feedforward and feedback in metabolic pathways

Whether an allosteric feedback or feedforward modifier actually has an effect on the steady-state properties of a metabolic pathway depends not only on the allosteric modifier effect itself, but also on the control properties of the affected allosteric enzyme in the pathway of which it is part. Different modification mechanisms are analysed: mixed inhibition, allosteric inhibition and activation of the reversible Monod-Wyman-Changeux and reversible Hill models. In conclusion, it is shown that, whereas a modifier effect on substrate and product binding (specific effects) can be an effective negative feedback mechanism, it is much less effective as a positive feedforward mechanism. The prediction is that catalytic effects that change the apparent limiting velocity would be more effective in feedforward activation.     

Guanylate kinase, induced fit, and the allosteric spring probe

Since the introduction of the induced-fit theory by D. E. Koshland Jr., it has been established that conformational motion invariably accompanies the execution of protein function. The catalytic activity of kinases, specifically, is associated with large conformational changes (∼1 nm amplitude). In the case of guanylate kinase, upon substrate binding, the LID and nucleotide-monophosphate-binding domains are brought together and toward the CORE with large concerted movements about the α3 (helix 3) axis. However, whether the change in conformation mostly affects the catalytic rate or mostly increases binding affinities for one or the other substrate is unclear. We investigate this question using a nanotechnology approach based on mechanical stress. Using an “allosteric spring probe”, we bias conformational states in favor of the “open” (substrate-free) conformation of the enzyme; the result is that the binding constant for the substrate guanosine monophosphate (GMP) is reduced by up to a factor of 10, whereas the binding constant for adenosine triphosphate (ATP) and the catalytic rate are essentially unaffected. The results show that the GMP-induced conformational change, which promotes catalysis, does not promote ATP binding, consistent with previous mutagenesis studies. Furthermore, they show that this conformational change is of the induced-fit type with respect to GMP binding (but not ATP binding). We elaborate on this point by proposing a quantitative criterion for the classification of conformational changes with respect to the induced-fit theory. More generally, these results show that the allosteric spring probe can be used to affect enzymatic activity in a continuously controlled manner, and also to affect specific steps of the reaction mechanism while leaving others unaffected. It is presumed that this will enable informative comparisons with the results of future molecular dynamics or statistical mechanics computations.     

Allosteric modulation of the human P-glycoprotein involves conformational changes mimicking catalytic transition intermediates

The drug transport function of human P-glycoprotein (Pgp, ABCB1) can be inhibited by a number of pharmacological agents collectively referred to as modulators or reversing agents. In this study, we demonstrate that certain thioxanthene-based Pgp modulators with an allosteric mode of action induce a distinct conformational change in the cytosolic domain of Pgp, which alters susceptibility to proteolytic digestion. Both cis and trans-isomers of the Pgp modulator flupentixol confer considerable protection of an 80 kDa Pgp fragment against trypsin digestion, that is recognized by a polyclonal antibody specific for the NH(2)-terminal half to Pgp. The protection by flupentixol is abolished in the Pgp F983A mutant that is impaired in modulation by flupentixols, indicating involvement of the allosteric site in generating the conformational change. A similar protection to an 80 kDa fragment is conferred by ATP, its nonhydrolyzable analog ATPgammaS, and by trapping of ADP-vanadate at the catalytic domain, but not by transport substrate vinblastine or by the competitive modulator cyclosporin A, suggesting different outcomes from modulator interaction at the allosteric site and at the substrate site. In summary, we demonstrate that allosteric interaction of flupentixols with Pgp generates conformational changes that mimic catalytic transition intermediates induced by nucleotide binding and hydrolysis, which may play a crucial role in allosteric inhibition of Pgp-mediated drug transport.     

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.     

Ligand-induced conformational states of rabbit liver fructose 1,6-bisphosphatase as revealed by digestion with subtilisin

Fructose 1,6-bisphosphatase undergoes specific conformational changes in the presence of the substrate fructose 1,6-bisphosphate and of the allosteric modifier, AMP and also on activation by cystamine. These changes can be monitored by observing the changes in sensitivity to digestion by subtilisin. In the presence of AMP the enzyme is protected against the action of subtilisin. Some protection is also observed with high concentrations of fructose bisphosphate while low concentrations of this substrate, which are ineffective alone, enhance the protective effect of low concentrations of AMP. The results suggest that AMP induces a resistant conformation, and that fructose bisphosphate promotes the binding of AMP. Divalent cations, although essential for activity, do not protect the enzyme against digestion by subtilisin. The native enzyme is activated by disulfide exchange with cystamine, and the activated enzyme is also more resistant to subtilisin. Thus, the enzyme in both inhibited (AMP) and activated conformations (cystamine) is rendered resistant to modification by proteolysis.     

Conformational selection in G-proteins: lessons from Ras and Rho

The induced fit model has traditionally been invoked to describe the activating conformational change of the monomeric G-proteins, such as Ras and Rho. With this scheme, the presence or absence of the γ-phosphate of GTP leads to an instantaneous switch in conformation. Here we describe atomistic molecular simulations that demonstrate that both Ras and Rho superfamily members harbor an intrinsic susceptibility to sample multiple conformational states in the absence of nucleotide ligand. By comparing the distribution of conformers in the presence and absence of nucleotide, we show that conformational selection is the dominant mechanism by which Ras and Rho undergo nucleotide-dependent conformational changes. Furthermore, the pattern of correlated motions revealed by these simulations predicts a preserved allosteric coupling of the nucleotide-binding site with the membrane interacting C-terminus in both Rho and Ras.     

Design of allosteric hammerhead ribozymes activated by ligand-induced structure stabilization.

BACKGROUND: Ribozymes can function as allosteric enzymes that undergo a conformational change upon ligand binding to a site other than the active site. Although allosteric ribozymes are not known to exist in nature, nucleic acids appear to be well suited to display such advanced forms of kinetic control. Current research explores the mechanisms of allosteric ribozymes as well as the strategies and methods that can be used to create new controllable enzymes. RESULTS: In this study, we exploit the modular nature of certain functional RNAs to engineer allosteric ribozymes that are activated by flavin mononucleotide (FMN) or theophylline. By joining an FMN- or theophylline-binding domain to a hammerhead ribozyme by different stem II elements, we have identified a minimal connective bridge comprised of a G.U wobble pair that is responsive to ligand binding. Binding of FMN or theophylline to its allosteric site induces a conformational change in the RNA that stabilizes the wobble pair and ultimately favors the active form of the catalytic core. These ligand-sensitive ribozymes exhibit rate enhancements of more than 100-fold in the presence of FMN and of approximately 40-fold in the presence of theophylline. CONCLUSIONS: An adaptive strategy for modular rational design has proven to be an effective approach to the engineering of novel allosteric ribozymes. This strategy was used to create allosteric ribozymes that function by a mechanism involving ligand-induced structure stabilization. Conceivably, similar engineering strategies and allosteric mechanisms could be used to create a variety of novel allosteric ribozymes that function with other effector molecules.     

Is allostery an intrinsic property of all dynamic proteins?

Allostery involves coupling of conformational changes between two widely separated binding sites. The common view holds that allosteric proteins are symmetric oligomers, with each subunit existing in "at least" two conformational states with a different affinity for ligands. Recent observations such as the allosteric behavior of myoglobin, a classical example of a nonallosteric protein, call into question the existing allosteric dogma. Here we argue that all (nonfibrous) proteins are potentially allosteric. Allostery is a consequence of re-distributions of protein conformational ensembles. In a nonallosteric protein, the binding site shape may not show a concerted second-site change and enzyme kinetics may not reflect an allosteric transition. Nevertheless, appropriate ligands, point mutations, or external conditions may facilitate a population shift, leading a presumably nonallosteric protein to behave allosterically. In principle, practically any potential drug binding to the protein surface can alter the conformational redistribution. The question is its effectiveness in the redistribution of the ensemble, affecting the protein binding sites and its function. Here, we review experimental observations validating this view of protein allostery.     

Sulfhydryl groups of glucosamine-6-phosphate isomerase deaminase from Escherichia coli

Glucosamine-6-phosphate isomerase deaminase (2-amino-2-deoxy-d-glucose-6-phosphate ketol isomerase (deaminating), EC 5.3.1.10) from Escherichia coli is an hexameric homopolymer that contains five half-cystines per chain. The reaction of the native enzyme with 5′,5′-dithiobis-(2-nitrobenzoate) or methyl iodide revealed two reactive SH groups per subunit, whereas a third one reacted only in the presence of denaturants. Two more sulfhydryls appeared when denatured enzyme was treated with dithiothreitol, suggesting the presence of one disulfide bridge per chain. The enzyme having the exposed and reactive SH groups blocked with 5′-thio-2-nitrobenzoate groups was inactive, but the corresponding alkylated derivative was active and retained its homotropic cooperativity toward the substrate, d-glucosamine 6-phosphate, and the allosteric activation by N-acetyl-d-glucosamine 6-phosphate. Studies of SH reactivity in the presence of enzyme ligands showed that a change in the availability of these groups accompanies the allosteric conformational transition. The results obtained show that sulfhydryls are not essential for catalysis or allosteric behavior of glucosamine-6-phosphate deaminase.     

A conformational transition involved in antagonistic substrate binding to the allosteric phosphofructokinase from Escherichia coli.

The binding of fructose 6-phosphate, ATP or its nonhydrolyzable analogue adenylyl 5'-(beta,gamma-methylenediphosphonate), ADP, and phosphoenolpyruvate to Escherichia coli phosphofructokinase has been studied by changes in the protein fluorescence and/or equilibrium dialysis. The results lead to the following conclusions: (1) tetrameric phosphofructokinase can bind four ATP but only two fructose-6-phosphate, and this binding occurs without cooperativity; (2) only two conformational states, T and R, with respectively a high and a low fluorescence, seem accessible to phosphofructokinase, which exists as a mixture of one-third R and two-third T states in the absence of ligand; (3) the substrate fructose 6-phosphate and the allosteric activator ADP bind preferentially to the low-fluorescence R state, while the other substrate, ATP [or its nonhydrolyzable analogue adenylyl 5'-(beta,gamma-methylenediphosphonate)], and the allosteric inhibitor phosphoenolpyruvate bind to the high-fluorescence T state; (4) the binding of a given ligand is cooperative, with a Hill coefficient of 2, only when this binding is accompanied by a complete shift from one state to the other; for instance, the binding of the ATP analogue adenylyl 5'-(beta,gamma-methylenediphosphonate) to the T state is cooperative only in the presence of fructose 6-phosphate which favors the R state. This behavior is qualitatively consistent with a concerted transition, but quite different from that described earlier for phosphofructokinase from steady-state activity measurements (Blangy et al., 1968). This discrepancy suggests that the allosteric properties of phosphofructokinase are due in part to ligand binding and in part to the kinetics of the enzymatic reaction.     

The allosteric transition in DnaK probed by infrared difference spectroscopy. Concerted ATP-induced rearrangement of the substrate binding domain

The biological activity of DnaK, the bacterial representative of the Hsp70 protein family, is regulated by the allosteric interaction between its nucleotide and peptide substrate binding domains. Despite the importance of the nucleotide-induced cycling of DnaK between substrate-accepting and releasing states, the heterotropic allosteric mechanism remains as yet undefined. To further characterize this mechanism, the nucleotide-induced absorbance changes in the vibrational spectrum of wild-type DnaK was characterized. To assign the conformation sensitive absorption bands, two deletion mutants (one lacking the C-terminal alpha-helical subdomain and another comprising only the N-terminal ATPase domain), and a single-point DnaK mutant (T199A) with strongly reduced ATPase activity, were investigated by time-resolved infrared difference spectroscopy combined with the use of caged-nucleotides. The results indicate that (1) ATP, but not ADP, binding promotes a conformational change in both subdomains of the peptide binding domain that can be individually resolved; (2) these conformational changes are kinetically coupled, most likely to ensure a decrease in the affinity of DnaK for peptide substrates and a concomitant displacement of the lid away from the peptide binding site that would promote efficient diffusion of the released peptide to the medium; and (3) the alpha-helical subdomain contributes to stabilize the interdomain interface against the thermal challenge and allows bidirectional transmission of the allosteric signal between the ATPase and substrate binding domains at stress temperatures (42 degrees C).     

Computation of Conformational Coupling in Allosteric Proteins

In allosteric regulation, an effector molecule binding a protein at one site induces conformational changes, which alter structure and function at a distant active site. Two key challenges in the computational modeling of allostery are the prediction of the structure of one allosteric state starting from the structure of the other, and elucidating the mechanisms underlying the conformational coupling of the effector and active sites. Here we approach these two challenges using the Rosetta high-resolution structure prediction methodology. We find that the method can recapitulate the relaxation of effector-bound forms of single domain allosteric proteins into the corresponding ligand-free states, particularly when sampling is focused on regions known to change conformation most significantly. Analysis of the coupling between contacting pairs of residues in large ensembles of conformations spread throughout the landscape between and around the two allosteric states suggests that the transitions are built up from blocks of tightly coupled interacting sets of residues that are more loosely coupled to one another.     

Na+/H+ exchange in volume regulation and cytoplasmic pH homeostasis in lymphocytes

Osmotic shrinking activates an amiloride-sensitive Na+/H+ exchange in the membrane of blood and thymic lymphocytes. The exchange, which is virtually quiescent in isotonic conditions, can also be activated by lowering the cytoplasmic pH (pHi). Activation by pHi is largely caused by an allosteric interaction of H+ with a kinetic modifier site, different from the internal substrate site. The set point or threshold pHi for activation of the exchanger is dictated by the protonation of the modifier. Evidence is presented that indicates that cell shrinking alters the pHi sensitivity of the modifier, shifting the set point to more alkaline levels. In the presence of HCO3- and Cl- a volume increase will accompany the change in pHi. Volume changes can also be produced in isotonic solutions if the exchange is activated by acidification of the cytoplasm, e.g., by addition of propionate to the medium. The latter phenomenon provides a simple method for the detection of the Na+/H+ antiport by electronic cell sizing.     

Opening mechanism of a cyclic nucleotide-gated channel based on analysis of single channels locked in each liganded state.

Cyclic nucleotide-gated channels contain four subunits, each with a binding site for cGMP or cAMP in the cytoplasmic COOH-terminal domain. Previous studies of the kinetic mechanism of activation have been hampered by the complication that ligands are continuously binding and unbinding at each of these sites. Thus, even at the single channel level, it has been difficult to distinguish changes in behavior that arise from a channel with a fixed number of ligands bound from those that occur upon the binding and unbinding of ligands. For example, it is often assumed that complex behaviors like multiple conductance levels and bursting occur only as a consequence of changes in the number of bound ligands. We have overcome these ambiguities by covalently tethering one ligand at a time to single rod cyclic nucleotide-gated channels (Ruiz, ML., and J.W. Karpen. 1997. Nature. 389:389-392). We find that with a fixed number of ligands locked in place the channel freely moves between three conductance states and undergoes bursting behavior. Furthermore, a thorough kinetic analysis of channels locked in doubly, triply, and fully liganded states reveals more than one kinetically distinguishable state at each conductance level. Thus, even when the channel contains a fixed number of bound ligands, it can assume at least nine distinct states. Such complex behavior is inconsistent with simple concerted or sequential allosteric models. The data at each level of liganding can be successfully described by the same connected state model (with different rate constants), suggesting that the channel undergoes the same set of conformational changes regardless of the number of bound ligands. A general allosteric model, which postulates one conformational change per subunit in both the absence and presence of ligand, comes close to providing enough kinetically distinct states. We propose an extension of this model, in which more than one conformational change per subunit can occur during the process of channel activation.     

Inactivation of skeletal glycogen synthetase by diethylpyrocarbonate

Glycogen synthetase from skeletal muscle is rapidly inactivated by DEPC. In the presence of the substrate UDPG only 50% of the enzyme activity is lost. The concomitant addition of both UDPG and the allosteric activator glucose-6-phosphate almost completely prevents the inactivation by DEPC. Since glucose-6-phosphate alone does not prevent the inactivation by DEPC, it is concluded that it is effective through a potentiation of the effects of UDPG, possibly through a conformational change of the enzyme.     

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).