Frontal gel chromatographic analysis of the interaction of a protein with self-associating ligands: aberrant saturation in the binding of flavins to bovine serum albumin

Frontal gel chromatography is an accurate method to obtain the total free ligand concentration of a protein-ligand mixture in which ligands self-associate. The average number of bound ligands per protein molecule is obtained as a function of the total free ligand concentration. The method was applied to the interaction of bovine serum albumin with self-associating flavins. The binding curves for FMN and FAD leveled off at about 0.7 and 0.5, respectively. These data were simulated well by a binding model where flavins undergo isodesmic indefinite self-association and the monomer alone binds to a single binding site of albumin. The isodesmic association constants of FMN and FAD were (1.7 +/- 0.1) x 10(2) and (2.2 +/- 0.3) x 10(2) M(-1), respectively. The binding constants of the monomer of FMN and FAD were (7.6 +/- 0.2) x 10(2) and (3.5 +/- 0.2) x 10(2) M(-1), respectively. FMN competitively inhibited the binding of FAD to albumin. The affinity to flavins was in the following order at pH 5.8: lumiflavin, FMN, riboflavin, and FAD. The SH modification and the binding of palmitate did not affect the FMN binding to bovine albumin at pH 5.8. As pH increased from 5.8 to 9.0, the affinity to FMN of bovine albumin decreased 3-fold, whereas that of human albumin increased about 80-fold. The present study clearly showed how isodesmic self-association of a ligand can cause apparent saturation of the interaction of a protein with the ligand at levels lower than 1.     

Testing of the portal hypothesis: analysis of a V32G, F57G, K58G mutant of the fatty acid binding protein of the murine adipocyte

The portal region of fatty acid binding proteins is hypothesized to function as a dynamic aperture, controlling accessibility of external ligands to the internal fatty acid binding cavity. To test this hypothesis, a triple mutant of the murine FABP4 has been developed (V32G, F57G, K58G, referred to as the portal mutant) that is predicted to constitutively enlarge the opening due to a reduction in the molecular dimensions of the side chains of key portal amino acids. The portal mutant was purified from expressing Escherichia coli, its stability was evaluated, and the thermodynamics and kinetics of ligand binding were compared to that of wild-type protein. Introduction of the three amino acid substitutions caused no significant change in the stability of the protein with a free energy of unfolding of 13.7 kJ/mol as compared to 14.0 kJ/mol for the wild-type protein. The portal mutant exhibited a modest decrease (4-fold) in ligand binding affinity using the fluorescent probe 1-anilinonaphthalene-8-sulfonic acid (1,8-ANS) as a surrogate ligand. 1,8-ANS displacement assays revealed that the binding affinity for oleate increased from a K0.5 of 196 +/- 15 nM for the wild-type protein to 165 +/- 8 for the portal mutant, while that for arachidonate decreased from the wild type of 186 +/- 11 nM to 418 +/- 26 nM for the portal mutant. To evaluate cavity accessibility, rate of 1,8-ANS binding was assessed between the portal and wild-type protein. Using equimolar amounts of ligand and protein at 4 degrees, 1,8-ANS bound within the cavity to 95% saturation (t0.95) in 750 ms, while the mutant protein was fully modified in less than 1.4 ms. To independently evaluate cavity accessibility, modification of the sole protein cysteine residue, C117 residing within the cavity near C2-C4 of the bound ligand, was monitored using 5,5'-dithio-bis(2-nitrobenzoic acid) modification. The half time for modification (t0.5) for the wild-type protein was approximately 20 s, while that for V32G F57G K58G occurred in less than a second. As such, enlargement of the portal region of FABP4 markedly increased the accessibility of ligands to the cavity while having only modest effects on ligand affinity. Taken together, these data provide support for the portal region hypothesis and suggest dynamic fluctuations in this region regulate cavity access, but not ligand affinity or selectivity.     

Isolation of a biotin receptor from hepatic plasma membranes

Biotin, one of the growth promoting members of the B complex vitamin family, was found in the present investigation to have a specific receptor on isolated plasma membranes. Biotin bound to its receptor in a linear manner at 20 degrees C with some binding as early as 30 minutes and full equilibrium binding being present at 20 hours. The best binding was found at 0.6 mg/ml of protein, but significant binding was still present at 0.6 microgram/ml. The saturation of ligand binding sites was at 10(-7)M. Half maximal saturation of binding was between 10(-9) and 10(-10)M. These results demonstrate that a receptor for biotin does exist on purified plasma membranes.     

Validation of the polyethylene glycol precipitation technique for the characterization of rat ventricular beta-adrenoceptors.

The use of polyethylene glycol (PEG) to separate [125I]cyanopindolol bound to rat ventricular membranes from free ligand in the characterization of beta-adrenoceptors was compared with the more frequently utilized filtration technique through GF/F glass-fiber filters. The results obtained in tissue from 14 rats demonstrated the following: (i) no significant difference between the two methods for the density of beta-adrenoceptors in ventricular tissue (PEG: 30.9 +/- 1.5 vs GF/F: 28.6 +/- 2.0 fmol/mg of protein); (ii) no significant difference for the dissociation constant (PEG: 70.7 +/- 5.3 vs GF/F: 57.7 +/- 7.7 pM); (iii) similar values for the Hill coefficient (PEG: 0.996 +/- 0.004 vs GF/F: 0.988 +/- .016); (iv) a significant difference for the relationship of bound/free vs bound, expressed as r2 (PEG: 0.82 +/- 0.03 vs GF/F: 0.74 +/- 0.03 P less than 0.05). The apparently greater accuracy of the PEG method over the filtration technique is probably explained by a lower degree of nonspecific binding observed with this method than with the filtration technique. In conclusion, the PEG precipitation method is an interesting and accurate alternative to the more standard filtration technique in ventricular beta-adrenoceptor characterization.     

Studies on the interactions between the cyclic nucleotide-binding sites of cGMP-dependent protein kinase

The rate and equilibrium kinetics of [3H]cGMP binding to the two rapidly exchanging and two slowly exchanging sites of dimeric cGMP-dependent protein kinase from bovine lung were studied. As observed by McCune and Gill (McCune, R. W., and Gill, G. N. (1979) J. Biol. Chem. 254, 5083-5091), unlabeled cGMP retarded the dissociation of [3H]cGMP bound to the "slow" site. This effect was due to interaction of unlabeled cGMP with the "rapid" rather than the slow site. First, the potencies of unlabeled cGMP and a number of cGMP analogs correlated nearly perfectly with their affinities for the rapid site. Second, the rate of dissociation in the absence of unlabeled ligand was independent of the degree of saturation of the slow sites. Third, unlabeled ligand inhibited the rate of dissociation more (about 10-fold) than theoretically predicted (maximum 2-fold) from interaction between two similar sites in one macromolecule. A favorable free energy coupling appeared to exist between the rapid and slow sites but not between the slow sites. cGMP associated faster to the slow site than the rapid site. Mg/ATP decreased the rate of association to either site by 50% and increased about ten-fold the rate of dissociation from the slow site. The dissociation of cGMP from the slow site could be described by a single activation energy (Ea = 71 kJ X mol-1) for the whole temperature range (0-37 degrees C) tested. These data indicated that the cyclic nucleotide-binding sites of the cGMP-kinase are kinetically more homologous to those in the cAMP-dependent protein kinases than previously recognized.     

Characterisation of an uridine-specific binding site in rat cerebrocortical homogenates

Parameters of [3H]uridine binding to synaptic membranes isolated from rat brain cortex (K(D)=71+/-4 nM, B(max)=1.37+/-0.13 pmol/mg protein) were obtained. Pyrimidine and purine analogues displayed different rank order of potency in displacement of specifically bound [3H]uridine (uridine>5-F-uridine>5-Br-uridine approximately adenosine>5-ethyl-uridine approximately suramin>theophylline) and in the inhibition of [14C]uridine uptake (adenosine>uridine>5-Br-uridine approximately 5-F-uridine approximately 5-ethyl-uridine) into purified cerebrocortical synaptosomes. Furthermore, the effective ligand concentration for the inhibition of [14C]uridine uptake was about two order of magnitude higher than that for the displacement of specifically bound [3H]uridine. Adenosine evoked the transmembrane Na(+) ion influx, whereas uridine the transmembrane Ca(2+) ion influx much more effectively. Also, uridine was shown to increase free intracellular Ca(2+) ion levels in hippocampal slices by measuring Calcium-Green fluorescence. Uridine analogues were found to be ineffective in displacing radioligands that were bound to various glutamate and adenosine-recognition and modulatory-binding sites, however, increased [35S]GTPgammaS binding to membranes isolated from the rat cerebral cortex. These findings provide evidence for a rather specific, G-protein-coupled site of excitatory action for uridine in the brain.     

An equilibrium study of the cooperative binding of adenosine cyclic 3',5'-monophosphate and guanosine cyclic 3',5'-monophosphate to the adenosine cyclic 3',5'-monophosphate receptor protein from Escherichia coli

The binding of adenosine cyclic 3',5'-monophosphate (cAMP) and guanosine cyclic 3',5'-monophosphate (cGMP) to the adenosine cyclic 3',5'-monophosphate receptor protein (CRP) from Escherichia coli was investigated by equilibrium dialysis at pH 8.0 and 20 degrees C at different ionic strengths (0.05--0.60 M). Both cAMP and cGMP bind to CRP with a negative cooperativity that is progressively changed to positive as the ionic strength is increased. The binding data were analyzed with an interactive model for two identical sites and site/site interactions with the interaction free energy--RT ln alpha, and the intrinsic binding constant K and cooperativity parameter alpha were computed. Double-label experiments showed that cGMP is strictly competitive with cAMP, and its binding parameters K and alpha are not very different from that for cAMP. Since two binding sites exist for each of the cyclic nucleotides in dimeric CRP and no change in the quaternary structure of the protein is observed on binding the ligands, it is proposed that the cooperativity originates in ligand/ligand interactions. When bound to double-stranded deoxyribonucleic acid (dsDNA), CRP binds cAMP more efficiently, and the cooperativity is positive even in conditions of low ionic strength where it is negative for the free protein. By contrast, cGMP binding properties remained unperturbed in dsDNA-bound CRP. Neither the intrinsic binding constant K nor the cooperativity parameter alpha was found to be very sensitive to changes of pH between 6.0 and 8.0 at 0.2 M ionic strength and 20 degrees C. For these conditions, the intrinsic free energy and entropy of binding of cAMP are delta H degree = -1.7 kcal . mol-1 and delta S degree = 15.6 eu, respectively.     

Quantitative demonstration of the reciprocity of ligand effects in the ternary complex of chicken heart lactate dehydrogenase with nicotinamide adenine dinucleotide oxalate.

The reciprocity of effects of two ligands simultaneously bound to a protein as a ternary complex may be proven by measurements of four standard free energies of binding. Two of these are for the binding of each ligand in the absence of the other, and the other two for the binding of each ligand in the presence of saturating amounts of the other (conditional free energies). These four quantities have been measured for the complexes of oxalate and nicotinamide adenine dinucleotide with chick heart lactate dehydrogenase. The differences between conditional and unconditional free energies are: oxalate, -1.1 +/- 0.3 kcal; NADH,-1.3 +/- 0.2 kcal, thus proving the reciprocity within experimental error.     

The binding of palmitoyl-CoA to bovine serum albumin

Bovine serum albumin (BSA) is routinely utilized in vitro to prevent the adverse detergent effects of long-chain acyl-CoA esters (i.e., palmitoyl-CoA) in enzyme assays. Determination of substrate saturation kinetics in the presence of albumin would only be valid if the relationship between bound and free substrate concentrations was known. To elucidate the relationship between bound and free palmitoyl-CoA concentrations in the presence of BSA, several different techniques including equilibrium dialysis, equilibrium partitioning, fluorescence polarization and direct fluorescence enhancement were investigated. Direct fluorescence enhancement using a custom synthesized fluorescent probe, 16-(9-anthroyloxy)palmitoyl-CoA (AP-CoA), was the best approach to this question. Measurement of the relationship between mol of palmitoyl-CoA bound per mol of BSA (nu) versus -log[free palmitoyl-CoA] revealed that the binding of palmitoyl-CoA to BSA, like palmitate was nonlinear, suggesting the presence of more than one class of acyl-CoA binding sites. Computer analyses of the binding data gave a best fit to the 2,4 two-class Scatchard model, suggesting the presence of two high-affinity primary binding sites (k1 = (1.55 +/- 0.46) x 10(-6) M-1) and four lower affinity secondary binding sites (k2 = (1.90 +/- 0.09) x 10(-8) M-1). Further analyses using the six parameter stoichiometric (stepwise) ligand binding model supports the existence of six binding sites with the higher affinities associated with the binding of the first mole of palmitoyl-CoA and weaker binding occurring after the first two sites are occupied. The association constants from this model of multiple binding diminish sequentially (i.e., K1 greater than K2 greater than K3 greater than...greater than or equal to K6), suggesting that each mol of long-chain acyl-CoA binds to BSA with decreasing affinities.     

A simple theoretical model for fluorescence polarization binding assay development

Fluorescence polarization is a screening technology that is radioactivity free, homogeneous, and ratiometric. The signal measured with this technology is a weighted value of free and bound ligand. As a consequence, saturation curves are accessible only after calculation of the corresponding concentrations of free and bound ligand. To make this technology more accessible to assay development, the authors propose a simple mathematical model that predicts fluorescence polarization values from ligand and receptor total concentrations, depending on the corresponding dissociation constant. This model was validated using data of Bodipy-NDP-alphaMSH binding to MC(5), obtained after either ligand saturation of a receptor preparation or, conversely, receptor saturation of a ligand solution. These experimental data were also used to calculate the actual concentration of free and bound ligand and receptor and to obtain pharmacological constants by Scatchard analysis. A general method is proposed, which facilitates the design of fluorescence polarization binding assays by relying on the representation of theoretical polarization values. This approach is illustrated by the application to 2 systems of very different affinities.     

A recognition system for sex-hormone-binding protein-estradiol complex in human decidual endometrium plasma membranes

We have studied the specific binding of human serum sex-hormone-binding protein and its complexes with estradiol and testosterone to an enriched membrane fraction isolated from human decidual endometrium. The specific binding of sex-hormone-binding protein to these membranes has been found to be dependent on it being bound with estradiol. When estradiol concentration in the medium is high enough to provide for the saturation of sex-hormone-binding protein with the steroid, the protein exhibits specific binding to the membranes with an apparent equilibrium constant, Kd = (3.5 +/- 2.0) X 10(-12) M. In the absence of estradiol, the binding protein devoid of steroid or complexed with testosterone does not interact with the membranes. At low concentrations of sex-hormone-binding protein and estradiol, when their complex is almost completely dissociated in solution, it can be reconstituted on the membranes with the optimum estradiol to binding protein ratio being 1:1 (mol/mol). It is proposed that, in plasma membranes of the estradiol target cells, there is a recognition system for the sex-hormone-binding protein-estradiol complex which may allow these cells to take up from blood not only free estradiol, but also estradiol complexed with the binding protein.     

Analysis of Competition Binding Assays: Assessment of the Range of Validity of a Commonly Invoked Assumption

Abstract

A common assumption invoked in the analysis of competition binding assays is that the fractional saturation of sites with the unlabeled ligand is given by 1 - (the concentration of bound labeled ligand in the presence of unlabeled ligand)/(the concentration of bound labeled ligand in the absence of unlabeled ligand). This assumption is critically evaluated in the context of several binding models: (a) binding of univalent ligands to multiple classes of equivalent and independent sites, with and without nonspecific binding; (b) cooperative binding of univalent ligands; and (c) binding of multivalent ligands to a single class of univalent acceptors. We show that the conventional assumption is only valid when the labeled ligand is mainly in the free form, occupies a small fraction of the total sites and binds univalently to all sites in an equivalent and independent manner, and when the unlabeled ligand forms l : l complexes with the acceptor sites. When these conditions are satisfied, the conventional assumption is valid even if the unlabeled ligand binds to nonequivalent sites or exhibits cooperativity. Finally, we apply the theory derived for case (a) above to the binding of fluoresceinated epidermal growth factor to A431 cells and demonstrate that the analysis of data obtained from both conventional and competition assays provides information which is difficult, if not impossible, to obtain from either assay alone.     

Endogenous phosphorylation of sarcoplasmic reticulum fragments of rabbit fast skeletal muscles

The purified membrane fragments of sarcoplasmic reticulum (SR) of rabbit fast skeletal muscles were found to incorporate 32P from[gamma-32P]ATP in endogenous membrane substrates and in histone H1. The existence of membrane-bound protein kinase of SR was demonstrated by steady state binding of [3H]-cAMP to the SR membranes. The constant of [3H]cAMP binding to the membranes is 2.5 +/- 0.003 x 10(6) M-1, the number of binding sites is 6.1 +/- 0.8 pmol per 1 mg of protein. The endogenous phosphorylation of SR components was inhibited by cAMP and cGMP at concentrations of 10(-7)-10(-6) and depended on Mg2+ and Ca2+. The thermostable protein inhibitor of cAMP-dependent protein kinase inhibited the endogenous phosphorylation of SR membranes by 30-40%. The protein phosphoproduct of SR membranes revealed the properties of a phosphoester. The membrane-bound protein kinase was active towards the exogenous substrate--histone H1. Phosphorylation in the presence of histones was independent of cyclic nucleotides, Mg2+ and Ca2+. Fractionation of 32P-labelled solubilized membranes in polyacrylamide gel in the presence of Na-SDS showed that the radioactivity is bound to protein zones with molecular weights of 95 000 and 6000.     

Characterization of [3H]forskolin binding sites in the iris-ciliary body of the albino rabbit

[3H]Forskolin binding sites were identified using membranes prepared from the iris-ciliary body of adult, albino rabbits. Scatchard analysis of saturation binding experiments demonstrated that [3H]forskolin bound to a single population of high affinity sites. The Kd and Bmax values were 8.7 +/- 0.9 nM and 119.0 +/- 30.9 fmol/mg prot. using membranes prepared from frozen tissue and 17.0 +/- 6.2 nM and 184.4 +/- 47.2 fmol/mg prot. using fresh tissue. The binding of [3H]forskolin was magnesium-dependent. The Bmax was enhanced by sodium fluoride and Gpp(NH)p, a nonhydrolyzable guanine nucleotide analog. Forskolin was the most potent inhibitor of [3H]forskolin binding; two commercially-available analogs were weaker inhibitors. In an adenylate cyclase assay, there was the same rank order of potency to enhance enzyme activity. Based upon binding affinities, magnesium-dependence, sensitivity to sodium fluoride and Gpp(NH)p, rank order of potencies of analogs and correlation of binding with adenylate cyclase activity, these studies suggest that the [3H]forskolin binding site in the iris-ciliary body is similar to the binding site in other tissues.     

Effect of a contaminating competitive ligand on ligand-binding curves. Inverse protein concentration dependence

A theoretical binding model is considered which provides an explanation for the inverse protein concentration dependence observed for a variety of ligands. The model describes the inhibition of binding caused by a highly bound contaminant. The complete binding equation is derived and examined in terms of form, limits, and protein dependence. Furthermore, several approximate relations are derived which are useful for obtaining initial estimates of the model parameters and for a qualitative test of the applicability of the model. It is found that the binding curve may show a characteristic plateau at a saturation equal to the uncontaminated fraction of the protein and that the free ligand concentration at half saturation depends linearly on protein concentration. The practical implications of the present findings are discussed based on an analysis of simulated as well as experimental data.     

Benzodiazepine binding studies on living cells: application of small ligands for fluorescence correlation spectroscopy

We demonstrate the applicability of fluorescence correlation spectroscopy (FCS) for receptor binding studies using low molecular weight ligands on the membranes of living nerve cells. The binding of the benzodiazepine Ro 7-1986/602 (N-des-diethyl-fluorazepam), labeled with the fluorophore Alexa 532, to the benzodiazepine receptor was analyzed quantitatively at the membrane of single rat hippocampal neurons. The values obtained for the dissociation constant Kd = (9.9 +/- 1.9) nm and the rate constant for ligand-receptor dissociation kdisS = (1.28 +/- 0.08) x 10(-3) s(-1) show that there is a specific and high affinity interaction between the dye-labeled ligand (Ro-Alexa) and the receptor site. The binding was saturated at approx. 100 nM and displacement of 10 nM Ro-Alexa, with a 1,000-fold excess of midazolam, showed a non-specific binding of 7-10%. Additionally, two populations of the benzodiazepine receptor that differed in their lateral mobility were detected in the membrane of rat neurons. The diffusion coefficients for these two populations [D(bound1) = (1.32 +/- 0.26) microm2/s; D(bound2) = (2.63 +/- 0.63) x 10(-2) microm2/s] are related to binding sites, which shows a mono-exponential decay in a time-dependent dissociation of the ligand-receptor complex.     

Characterization of low density lipoprotein binding to human adipocytes and adipocyte membranes

125I-labeled low density lipoprotein (LDL) binding to purified plasma membranes prepared from freshly isolated human adipocytes was saturable, specific, and displaceable by unlabeled ligand. The maximum specific binding capacity measured at saturating concentrations of 125I-LDL was 1.95 +/- 1.17 micrograms of LDL bound/mg of membrane protein (mean +/- S.D., n = 16). In contrast to cultured fibroblasts, specific binding of LDL to adipocyte membranes was calcium-independent, was not affected by EDTA or NaCl, and was not destroyed by pronase. Plasma membranes purified directly from homogenized adipose tissue also showed calcium-independent LDL specific binding (0.58 +/- 0.33 micrograms of LDL bound/mg of membrane protein, mean +/- S.D. n = 11). Specific binding, internalization, and degradation of 125I-methylated LDL was demonstrated in isolated adipocytes and competition experiments showed that native and methylated LDL interacted with adipocytes through some common recognition mechanism(s). Compared to native LDL, specific binding of methylated LDL to adipocyte membranes was significantly reduced (43%), indicating that interaction of LDL with adipocyte was dependent in part on the lysine residues of apolipoprotein B. LDL binding to adipocyte plasma membranes was also competitively inhibited by human high density lipoprotein subfractions HDL2 and HDL3. Thus, LDL metabolism in mature adipocytes appears to be regulated by mechanisms distinctly different from a variety of cultured mesenchymal cells. In addition, the ability of adipocytes to bind, internalize, and degrade significant amounts of methylated LDL supports the view that adipose tissue is involved in the metabolism of modified lipoproteins in vivo.     

What determines the van der Waals coefficient beta in the LIE (linear interaction energy) method to estimate binding free energies using molecular dynamics simulations?

Recently a semiempirical method has been proposed by Aqvist et al. to calculate absolute and relative binding free energies. In this method, the absolute binding free energy of a ligand is estimated as deltaGbind = alpha + beta, where Vel(bound) and Vvdw(bound) are the electrostatic and van der Waals interaction energies between the ligand and the solvated protein from an molecular dynamics (MD) trajectory with ligand bound to protein and Vel(free) and Vel(free) and Vvdw(free) are the electrostatic and van der Waals interaction energies between the ligand and the water from an MD trajectory with the ligand in water. A set of values, alpha = 0.5 and beta = 0.16, was found to give results in good agreement with experimental data. Later, however, different optimal values of beta were found in studies of compounds binding to P450cam and avidin. The present work investigates how the optimal value of beta depends on the nature of binding sites for different protein-ligand interactions. By examining seven ligands interacting with five proteins, we have discovered a linear correlation between the value of beta and the weighted non-polar desolvation ratio (WNDR), with a correlation coefficient of 0.96. We have also examined the ability of this correlation to predict optimal values of beta for different ligands binding to a single protein. We studied twelve neutral compounds bound to avidin. In this case, the WNDR approach gave a better estimate of the absolute binding free energies than results obtained using the fixed value of beta found for biotin-avidin. In terms of reproducing the relative binding free energy to biotin, the fixed-beta value gave better results for compounds similar to biotin, but for compounds less similar to biotin, the WNDR approach led to better relative binding free energies.     

Reciprocal cooperative effects of multiple ligand binding to pyruvate kinase

The formation of multiple ligand complexes with muscle pyruvate kinase was measured in terms of dissociation constants and the standard free energies of formation were calculated. The binding of Mn2+ to the enzyme (KA = 55 +/- 5 X 10(-6) M; deltaF degrees = -5.75 +/- 0.05 kcal/mol) and to the enzyme saturated with phosphoenolpyruvate (conditional free energy) KA' = 0.8 +/- 0.4 X 10(-6) M; deltaF degrees = -8.22 +/- 0.34 kcal/mol) has been measured under identical conditions giving a free energy of coupling, delta(deltaF degrees) = -2.47 +/- 0.34 kcal/mol. Such a large negative free energy of coupling is diagnostic of a strong positively cooperative effect in ligand binding. The binding of the substrate phosphoenolpyruvate to free enzyme and the enzyme-Mn2+ complex was, by necessity, measured by different methods. The free energy of phosphoenolpyruvate binding to free enzyme (KS = 1.58 +/- 0.10 X 10(-4)M; deltaF degrees = -5.13 +/- 0.04 kcal/mol) and to the enzyme-Mn2+ complex (K3 = 0.75 +/- 0.10 X 10(-6)M; deltaF degrees = -8.26 +/- 0.07 kcal/mol) also gives a large negative free energy of coupling, delta(deltaF degrees) = -3.16 +/- 0.08 kcal/mol. Such a large negative value confirms reciprocal binding effects between the divalent cation and the substrate phosphoenolpyruvate. The binding of Mn2+ to the enzyme-ADP complex was also investigated and a free energy of coupling, delta(deltaF degrees) = -0.08 +/- 0.08 kcal/mol, was measured, indicative of little or no cooperativity in binding. The free energy of coupling with Mn2+ and pyruvate was measured as -1.52 +/- 0.14 kcal/mol, showing a significant amount of cooperativity in ligand binding but a substantially smaller effect than that observed for phosphoenolpyruvate binding. The magnitude of the coupling free energy may be related to the role of the divalent cation in the formation of the enzyme-substrate complexes. In the absence of the activating monovalent cation, the coupling free energies for phosphoenolpyruvate and pyruvate binding decrease by 40-60% and 25%, respectively, substantiating a role for the monovalent cation in the formation of enzyme-substrate complexes with phosphoenolpyruvate and with pyruvate.