An allosteric model for ribonuclease

Cooperativity in monomeric enzymes with single ligand-binding sites

Cooperativity is widespread in biology. It empowers a variety of regulatory mechanisms and impacts both the kinetic and thermodynamic properties of macromolecular systems. Traditionally, cooperativity is viewed as requiring the participation of multiple, spatially distinct binding sites that communicate via ligand-induced structural rearrangements; however, cooperativity requires neither multiple ligand binding events nor multimeric assemblies. An underappreciated manifestation of cooperativity has been observed in the non-Michaelis-Menten kinetic response of certain monomeric enzymes that possess only a single ligand-binding site. In this review, we present an overview of kinetic cooperativity in monomeric enzymes. We discuss the primary mechanisms postulated to give rise to monomeric cooperativity and highlight modern experimental methods that could offer new insights into the nature of this phenomenon. We conclude with an updated list of single subunit enzymes that are suspected of displaying cooperativity, and a discussion of the biological significance of this unique kinetic response.

The structural and functional studies of His119 and His12 in RNase A via chemical modification

The histidyl residues of bovine pancreatic ribonuclease A (RNase A) play a crucial role in enzymatic activity. Diethylpyrocarbonate (DEPC) is a potent inhibitor of RNase A, and its precise sites of action on the imidazole rings of the four histidyl residues of RNase A are not clearly defined. We have used a multidisciplinary approach including enzyme assay, calculation of accessible surface area (ASA), isoelectric pH gradient technique, fluorescence investigations, circular dichroism spectroscopy, differential scanning calorimetry, and 1H NMR analysis to study the sites of DEPC interaction with the imidazole rings of the four histidyl residues. Our results demonstrate that among the histidyl residues of RNase A, His48 is not accessible to react with DEPC. However, the sequential carbethoxylation of the imidazole rings of His119, His105, and His12 occurs on the nitrogen atoms of Ndelta, Nepsilon, and Nepsilon, respectively. Carbethoxylation of His119 was followed by conversion of the A conformation to the B conformation in the active site. However, the carbethoxylation of His12 was accompanied by a second spatial rotation of the corresponding imidazole ring in the active site to adopt a new conformation. These conformation changes are accompanied by subsequent decrements in the thermal stability of the protein. Therefore, these findings reinforce the important structural roles of the spatial positions for His119 and His12 in the active site of RNase A.

Allosteric interactions within subsites of a monomeric enzyme: kinetics of fluorogenic substrates of PI-specific phospholipase C

Two novel water-soluble fluorescein myo-inositol phosphate (FLIP) substrates, butyl-FLIP and methyl-FLIP, were used to examine the kinetics and subsite interactions of Bacillus cereus phosphatidylinositol-specific phospholipase C. Butyl-FLIP exhibited sigmoidal kinetics when initial rates are plotted versus substrate concentration. The data fit a Hill coefficient of 1.2-1.5, suggesting an allosteric interaction between two sites. Two substrate molecules bind to this enzyme, one at the active site and one at a subsite, causing an increase in activity. The kinetic behavior is mathematically similar to that of well-known cooperative multimeric enzymes even though this phosphatidylinositol-specific phospholipase C is a small, monomeric enzyme. The less hydrophobic substrate, methyl-FLIP, binds only to the active site and not the activator site, and thus exhibits standard hyperbolic kinetics. An analytical expression is presented that accounts for the kinetics of both substrates in the absence and presence of a nonsubstrate short-chain phospholipid, dihexanoylphosphatidylcholine. The fluorogenic substrates detect activation at much lower concentrations of dihexanoylphosphatidylcholine than previously reported.

Binding patterns and kinetics of RNase a interaction with RNA

Kinetics and binding studies of RNase A and its natural polymeric substrate (RNA), as well as the natural mixture of free 3'-ribonucleotides, were performed by difference spectrophotometry. The obtained kinetic saturation curve, with an anomalous nonhyperbolic shape and a distinct transition point, showed the interchange between the two conformational forms of the enzyme. This occurred in a narrow range of substrate concentration. At low substrate concentration, in spite of the existence of one catalytic cleft, RNase A behaves as a cooperative system, perhaps due to the interactions among the four cooperative binding subsites in the active cleft. At high substrate concentration, the conformational change did occur and was accompanied by a decrease in cooperativity and increment of the catalytic constant. The multiphasic shape of the binding curve, which, in the presence of the enzyme, produced 3'-ribonucleotides (as the ligand molecules), shows four binding subsites. The first three subsites are specific for the attachment of phosphate, ribose, and base moieties belonging to the first bound 3'-ribonucleotide in the direction of 3'-phosphate --> ribose --> base-5'. The fourth subsite relates to the second phosphate group of the second bound 3'-ribonucleotide. The binding direction also converts to 5'-phosphate --> ribose --> base-3' for the ribonucleotide monomers in the RNA structure.

The subsites structure of bovine pancreatic ribonuclease A accounts for the abnormal kinetic behavior with cytidine 2',3'-cyclic phosphate

The kinetics of the hydrolysis of cytidine 2',3'-cyclic phosphate (C>p) to 3'-CMP by ribonuclease A are multiphasic at high substrate concentrations. We have investigated these kinetics by determining 3'-CMP formation both spectrophotometrically and by a highly specific and quantitative chemical sampling method. With the use of RNase A derivatives that lack a functional p2 binding subsite, evidence is presented that the abnormal kinetics with the native enzyme are caused by the sequential binding of the substrate to the several subsites that make up the active site of ribonuclease. The evidence is based on the following points. 1) Some of the unusual features found with native RNase A and C>p as substrate disappear when the derivatives lacking a functional p2 binding subsite are used. 2) The kcat/Km values with oligocytidylic acids of increasing lengths (ending in C>p) show a behavior that parallels the specific velocity with C>p at high concentrations: increase in going from the monomer to the trimer, a decrease from tetramer to hexamer, and then an increase in going to poly(C). 3) Adenosine increases the kcat obtained with a fixed concentration of C>p as substrate. 4) High concentrations of C>p protect the enzyme from digestion with subtilisin, which results in a more compact molecule, implying large substrate concentration-induced conformational changes. The data for the hydrolysis of C>p by RNase A can be fitted to a fifth order polynomial that has been derived from a kinetic scheme based on the sequential binding of several monomeric substrate molecules.

Co-operativity in seminal ribonuclease function. Kinetic studies

Kinetic studies with substrates of the hydrolytic rate-limiting reaction step revealed that the non-hyperbolic kinetics of bovine seminal RNAse may not be ascribed to microheterogeneity of the enzyme or to hysteretic effects. The substrate saturation curves with intermediate plateau and the activating and inhibiting effects of the reaction product, respectively at low and high concentrations, are explained in terms of mixed co-operativity, with binding at subsites that is a prerequisite for full activity of the enzyme. A model is proposed that is supported also by the results of binding studies.

Are spontaneous conformational interconversions a molecular basis for long-period oscillations in enzyme activity?

An unconventional hypothesis to the molecular basis of enzyme rhythms is that the intrinsic physical instability of the protein molecules which, in an aqueous medium, tend to move continuously from one conformational state to another could lead, in the population of enzyme molecules, to sizeable long-period oscillations in affinity for substrate and sensitivity to ligands and regulatory effects. To investigate this hypothesis, malate dehydrogenase was extracted and purified from leaves of the plant Kalanchoe blossfeldiana. The enzyme solutions were maintained under constant conditions and sampled at regular intervals for up to 40 or 70 h for measurements of activity as a function of substrate concentration, Km for oxaloacetic acid and sensitivity to the action of 2,3-butanedione, a modifier of active site arginyl residues. The results show that continuous slow oscillations in the catalytic capacity of the enzyme occur in all the extracts checked, together with fluctuations in Km. Apparent circadian periodicities were observed in accordance with previous data established during long run (100 h) experiments. The saturation curves for substrate showed multiple kinetic functions, with various pronounced intermediary plateaus and "bumps" depending on the time of sampling. Variation in the response to the effect of butanedione indicated fluctuation in the accessibility to the active site. Taken together, the results suggest that, under constant conditions, the enzyme in solution shifts continuously and reversibly between different configurations. This was confirmed by parallel studies on the proton-NMR spectrum of water aggregates in the enzyme solution and proton exchange rates.(ABSTRACT TRUNCATED AT 250 WORDS)

The analysis of enzyme progress curves by numerical differentiation, including competitive product inhibition and enzyme reactivation

A new method for analyzing steady-state enzyme kinetic data is presented. The technique, which is based on the numerical differentiation of the complete reaction curve, has several advantages over initial velocity and integrated Michaelis-Menten equation methods. The differentiated data are fit to the differential equation describing the appropriate kinetic scheme. This approach is particularly valuable in cases of strong competitive product inhibition and of changing concentrations of active enzyme. The method assumes a reversible reaction and is applicable to a very wide variety of steady-state kinetic schemes. A particular advantage of this approach over integrated methods is that it is independent of [S0] and hence of errors in [S0]. The combination of complete progress curve and computer analysis makes this approach very efficient with respect to both time and materials. Running on an IBM PC XT or equivalent microcomputer with an 8087 coprocessor, the analyses are very fast, the complete process usually being complete in a minute or two. The utility of the technique is demonstrated by application to both simulated and real data. We show that the differentiation of the progress curve for the ribonuclease-catalyzed hydrolysis of 2',3'-cyclic cytidine monophosphate reveals strong product inhibition by 3'-CMP, and this product inhibition accounts for the large discrepancies reported in the literature for the value of Km for this substrate. The method was also applied to determine the rate of reactivation of beta-lactamase which had been reversibly inactivated by cloxacillin. Since large numbers of data points are required for the numerical differentiation the method has become practical only with the advent of computer-acquired data systems.

Co-operativity in seminal ribonuclease function: binding studies

Binding of nucleotides to bovine seminal RNAase was studied by differential spectrophotometry and equilibrium dialysis. Cytidine 3'-phosphate, the reaction product of the hydrolytic, rate-limiting step of the reaction, was found to be capable, in contrast to related nucleotides, of discriminating between the two structurally identical active sites of the enzyme. Negative co-operativity, with a 'half-of-sites' reactivity, was found at lower concentrations of ligand, whereas at higher concentrations positive co-operativity was detected. These findings exclude that the non-hyperbolic kinetics previously reported for the hydrolytic step of the reaction are due to hysteretic effect. A model of mixed-type co-operativity is proposed for interpreting the binding data.

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.

Different kinetic patterns in the alpha-chymotrypsin-catalysed hydrolysis of synthetic ester substrates

The reaction of alpha-chymotrypsin with AcTyr-OEt and with AcTrp-OEt at pH 7.0 and 7.8 was studied over a wide range of substrate concentrations. The reaction with AcTyr-OEt at pH 7.8 was shown to be non-hyperbolic using a variety of criteria whereas those at pH 7.0 with the same substrate and at both pH values with AcTrp-OEt were hyperbolic. The non-hyperbolicity of the reaction with AcTyr-OEt at pH 7.8 followed a pattern of negative cooperativity with a Hill coefficient for the high substrate concentration range of 0.48. Although other explanations are possible, the pH dependence of the reaction with AcTyr-OEt could be related to the slow transition of the two known forms of the enzyme.

Metrics from nonlinear dynamics adapted for characterizing the behavior of nonequilibrium enzymatic rate functions

Several metrics from nonlinear dynamics and statistical mechanics have been characterized on computer-generated number series with various signal-to-noise ratios, demonstrating their individual reliability as a function of sample size and their relationships to each other. The root mean square (RMS) evaluates amplitude, and the power spectral density (PSD) provides a visual display of the frequency spectrum; both measures have very high reliability even for an N as low as 50. The Fractal Dimension (D) is shown to converge rapidly and also to be reliable when N is as low as 50. These three measures (RMS, PSD, and D) have been applied to the complex kinetics of tyrosine hydroxylase time courses (50-point curves) at various BH4 concentrations (near physiological, but far from equilibrium levels). Recently developed measures of spectral entropy and the Liapunov Exponent, -lambda are also characterized.

The properties of the interaction between bovine pancreatic ribonuclease a and mononucleotides supports the existence of several binding sub-sites in the enzyme

The binding of 5'AMP, 5'GMP, 5'CMP, 3'CMP and Cl6RMP to RNAase A was studied by means of the gel filtration technique. It was found that only one molecule of 3'CMP binds strongly to the enzyme although a very unspecific binding is also present. The interaction of 5'AMP and 5'GMP with the enzyme shows one strong binding site and several weak binding sites, whereas two molecules of 5'CMP bind to RNAase A with equal strength. Cl6RMP shows an anomalous behaviour as both split peaks and troughs are found in the chromatogram. The Ka values for 3'CMP and the strong binding site of 5'AMP and 5'GMP are very similar whereas that for the two binding sites of 5'CMP is smaller (about 2.2 X 10(-4)M-1 and 0.5 X 10(-4)M-1, respectively at pH 5.5, I = 0.01 and 25 degrees C). The results are in general agreement with the known multiplicity of ligand-binding subsites in RNAase A.

Poly(adenylic acid) in small amounts, free or covalently linked to substrate, protects RNA from hydrolysis by ribonuclease

Short lengths (18 residues) of poly(A), covalently linked to the 3'-termini of Escherichia coli 5 S rRNA, induce powerful inhibitions (38-87%) of the activities of RNAases (ribonucleases) from Citrobacter sp., Enterobacter sp., bovine pancreas, human spleen and human plasma. As the polypurine chain length is extended, enzyme activity declines. Furthermore, poly(A) sequences, present only on a small subpopulation of RNA, and accounting for less than 1% of total RNA, serve to protect all RNA, polyadenylated or not, from enzyme-catalysed degradation. The quantity of 3'-terminal adenylic acid residues, relative to the amount of substrate, determines enzyme activity. The exact distribution of a fixed amount of poly(A) residues on the 3'-termini of substrate molecules is unimportant in this respect. Comparison of the efficacies of inhibition of RNAase activity, by using linked poly(A) and similar quantities of free poly(A), revealed that although the free polypurine inhibits RNAase activity, covalent linkage of poly(A) to RNA is more advantageous to the stability of an RNA substrate. However, the ratio of inhibited activities obtained by using linked or free poly(A) may change considerably with alterations in either substrate concentration or polyadenylic acid segment length.

A model for the behaviour of phosphorylase b. The generation of different binding sites via intermediate enzymatic states

The model given in this paper can be applied to enzymatic systems which have more than two conformational states in equilibrium and which clearly exhibit heterogeneity in the binding of one ligand. The model we propose makes possible quantitative interpretation of our experimental results and of those of many other workers as well. In some cases calorimetric, dialysis and kinetic magnitudes, when plotted against ligand concentration, give multiregional or "stepwise" curves. We suggest that such a behaviour arises because total occupation of one class of binding sites completely moves the enzyme towards a different conformational state in which the affinity for the ligand is greatly increased by the formation of a new class of binding sites. Our calorimetric results for the interaction between some nucleotides and phosphorylase b closely conform to our model.

Preparation of allosteric ribonuclease

A method for the preparation of allosteric ribonuclease from bovine pancreas is described. The effects of freeze-drying ribonuclease from acid and alkaline solutions on plots of velocity versus substrate concentration for the hydrolysis of 2':3'-cyclic CMP are examined. Comparison of these plots with the plots obtained with severeal commercial enzyme preparations indicates that the conformation of the enzyme is dependent on the method of preparation. Aging experiments demonstrate that further conformational changes occur at different rates, depending on the methods of storage. Results suggest that the allosteric behaviour of ribonuclease has not always been observed with commercial preparations, owing to variations in methods of preparation and storage of the enzyme.

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.

Further evidence for an allosteric model for ribonuclease

Evidence is presented from three experimental systems to support the allosteric model of Walker et al. (1975) (Biochem. J. 147, 425-433) which explains the substrate-concentration-dependent transition observed in the RNAase (ribonuclease)-catalysed hydrolysis of 2':3'-cyclic CMP (cytidine 2':3'-cyclic monophosphate). 1. Kinetic studies of the initial rate of hydrolysis of 2':3'-cyclic CMP show that the midpoint of the transition shifts to lower concentrations of 2':3'-cyclic CMP in the presence of the substrate analogues 3'-CMP, 5'-CMP, 3'-AMP, 3'-UMP and Pi; 2'-CMP and 2'-UMP do not cause such a shift. 2. Trypsin-digestion studies show that a conformational change in RNAase to a form less susceptible to tryptic inactivation is induced in the presence of the substrate analogues 3'-CMP, 5'-CMP, 3'-AMP, and 3'-UMP. 2'-CMP, 2'-AMP and 2'-UMP do not induce this conformational change. 3. Equilibrium-dialysis experiments demonstrate the multiple binding of molecules of 3'-CMP, 3'-AMP and 5'-AMP to a molecule of RNAase. 2'-CMP binds the ratio 1:1 over the analogue concentration range studied.