Analysis of oxygen binding by hemoglobin on the basis of mean intrinsic thermodynamic quantities

The binding data for oxygenation of human hemoglobin, Hb, at various temperatures and in the absence and presence of 2,3-diphosphoglycerate, DPG, and inositol hexakis phosphate, IHP, were analyzed for extraction of mean intrinsic Gibbs free energy, DeltaGo, enthalpy, DeltaHo, and entropy, DeltaSo, of binding at various partial oxygen pressures. This method of analysis considers all the protein species present such as dimer and tetramer forms which were not considered by Imai et al. (Imai K et al., 1970, Biochim Biophys Acta 200: 189-196), in their analysis which was based on Adair equation. In this regard, the values of Hill equation parameters were estimated with high precision at all points of the binding curve and used for calculation of DeltaGo, DeltaHo and DeltaSo were also calculated by analysis of DeltaGo values at various temperatures using van't Hoff equation. The results represent the enthalpic nature of the cooperativity in Hb oxygenation and the compensation effect of intrinsic entropy. The interpretation of results also to be, into account the decrease of the binding affinity of sites for oxygen in the presence of DPG and IHP without any considerable changes in the site-site interaction (extent of cooperativity). In other words, the interactions between bound ligands, organic phosphates and oxygen, are more due to a decreasing binding affinity and not to the reduction of the cooperative interaction between sites. The results also document the more heterotropic effect of IHP compared to DPG.     

Cooperativity of ligand binding as a function of monomer-dimer equilibrium parameters and acceptor concentration

A general monomer-dimer equilibrium system involving ligand interactions ispresented. Cooperativity features of specific limited models are analyzed by selecting the appropriate family of equilibrium constants from this general scheme. Each system is then characterized in terms of Hill coefficient dependency on alterations in values of equilibrium constants and total acceptor concentration. This method permits comparison of predicted cooperativity trends between systems. Contrasting reports concerning cooperativity dependencies for certain defined equilibrium systems are compared and the discrepancies resolved. Characteristics of cooperativity binding patterns are shown to include symmetry about dimerization association constant values, both positive and negative cooperativity for a single set of parameters, and significant changes in cooperativity features with relatively small changes in equilibrium parameters.     

Cofactor binding to Escherichia coli D-3-phosphoglycerate dehydrogenase induces multiple conformations which alter effector binding

The inhibition of Escherichia coli d-3-phosphoglycerate dehydrogenase by l-serine is positively cooperative with a Hill coefficient of approximately 2, whereas the binding of the inhibitor, l-serine, to the apoenzyme displays positive cooperativity in the binding of the first two serine molecules and negative cooperativity in the binding of the last two serine molecules. An earlier report demonstrated that the presence of phosphate appeared to lessen the degree of both the positive and negative cooperativity, but the cause of this effect was unknown. This study demonstrates that the presence of intrinsically bound NADH was responsible to a substantial degree for this effect. In addition, this study also provides evidence for negative cooperativity in NADH binding and for at least two NADH-induced conformational forms of the enzyme that bind the inhibitor in the physiological range. Successive binding of NADH to the enzyme resulted in an increase in the affinity for the first inhibitor ligand bound and a lessening of both the positive and negative cooperativity of inhibitor binding as compared with that seen in the absence of NADH. This effect was specific for NADH and was not observed in the presence of NAD+ or the substrate alpha-ketoglutarate. Conversely, the binding of l-serine did not have a significant effect on the stoichiometry of NADH binding, consistent with it being a V-type allosteric system. Thus, cofactor-related conditions were found in equilibrium binding experiments that significantly altered the cooperativity of inhibitor binding. Since the result of inhibitor binding is a reduction in the catalytic activity, the binding of inhibitor to these NADH-induced conformers must also induce additional conformations that lead to differential inhibition of catalytic activity.     

The binding capacity is a probability density function.

The binding capacity of a system, or equivalently, the fluctuations of the number of ligands bound around the average value defined by the binding isotherm, can be regarded as a probability density function for the chemical potential of the ligand. The first moment of this density function is the mean ligand activity as defined by Wyman and gives the average free energy (in kT units) of binding per site. The second moment is directly related to the cooperativity of the system. These and higher moments can be obtained from numerical integration of experimental data in a direct way. An analytical expression for the moment generating function shows that the N independent coefficients of the partition function of a system containing N sites are uniquely defined by the first N moments of the binding capacity.     

Binding Cooperativity Matters: A GM1-Like Ganglioside-Cholera Toxin B Subunit Binding Study Using a Nanocube-Based Lipid Bilayer Array

Protein-glycan recognition is often mediated by multivalent binding. These multivalent bindings can be further complicated by cooperative interactions between glycans and individual glycan binding subunits. Here we have demonstrated a nanocube-based lipid bilayer array capable of quantitatively elucidating binding dissociation constants, maximum binding capacity, and binding cooperativity in a high-throughput format. Taking cholera toxin B subunit (CTB) as a model cooperativity system, we studied both GM₁ and GM₁-like gangliosides binding to CTB. We confirmed the previously observed CTB-GM₁ positive cooperativity. Surprisingly, we demonstrated fucosyl-GM₁ has approximately 7 times higher CTB binding capacity than GM₁. In order to explain this phenomenon, we hypothesized that the reduced binding cooperativity of fucosyl-GM₁ caused the increased binding capacity. This was unintuitive, as GM₁ exhibited higher binding avidity (16 times lower dissociation constant). We confirmed the hypothesis using a theoretical stepwise binding model of CTB. Moreover, by taking a mixture of fucosyl-GM₁ and GM₂, we observed the mild binding avidity fucosyl-GM₁ activated GM₂ receptors enhancing the binding capacity of the lipid bilayer surface. This was unexpected as GM₂ receptors have negligible binding avidity in pure GM₂ bilayers. These unexpected discoveries demonstrate the importance of binding cooperativity in multivalent binding mechanisms. Thus, quantitative analysis of multivalent protein-glycan interactions in heterogeneous glycan systems is of critical importance. Our user-friendly, robust, and high-throughput nanocube-based lipid bilayer array offers an attractive method for dissecting these complex mechanisms.     

Cooperative equilibrium curves generated by ordered ligand binding to multi-site molecules

The sigmoid shape of equilibrium curves in normal axes and Hill coefficients higher than unity, are indexes of cooperativity or homotropic allostery where the affinity for the ligand increases as saturation progresses. The mathematical transformation of the Adair scheme of equilibria in the Hill plot, reveals that sigmoid binding curves can also be generated by ordered ligand binding to a receptor with multiple binding sites of identical microscopic association constants. This mechanism only based on the law of mass action, could participate to some extent to certain cooperative effects observed in non-biological systems and perhaps in the physiological binding of oxygen to heme proteins.     

Cooperative binding of oxygen to hemoglobin: analysis of accurate equilibrium binding data

Accurate equilibrium binding data for the oxygenation of hemoglobin are used (a) to show that various models for cooperativity are inconsistent with the best available experimental data, (b) to determine the equilibrium constants for binding of 2,3-diphosphoglycerate to hemoglobin molecules in intermediate stages of oxygenation, and (c) to deduce a mechanism for allosteric effects in hemoglobin which is consistent with the best available experimental data. The total free energy of cooperativity is defined and discussed.     

Macromolecular binding

Formulas for the free energy of binding to a macromolecule are obtained by thermodynamic and statistical mechanical methods, and it is shown that the free energy of binding is intimately related with the binding polynomial and Wyman's binding potential. The expression for the free energy of binding is applied to a number of cases of ligand-induced conformational changes, cooperativity, association reactions, etc.     

Characterization of insulin binding to the erythroleukemia cell line K 562

The K 562 is a transformed human erythroid stemcell and is used as a target cell for NK-T-cells. In this study the presence of insulin receptors in K 562 is established.The best binding and negative cooperativity was found in the two Hepes containing buffers whereas no cooperativity was obtained in the Krebs-Ringer buffer. The calculated affinity constants and receptor number per cell varied according to the buffer. Preincubation with insulin caused a down-regulation of the insulin binding capacity. 10 ng/ml caused a lowering of the affinity, with an unchanged number of receptors. 100 ng/ml caused a decrease in receptor number with unchanged affinity. These results were found in both Hepes and Krebs-Ringer phosphate buffer. IGF-I shows cross-reactivity with the insulin receptor, with a potency of 12 and 100 times less than insulin in Krebs-Ringer phosphate buffer and G-buffer respectively. However, no specific IGF-I receptors were found.The presence of receptors on K 562 cells suggests a biological role for insulin. The different results in the different buffers, indicate that a buffer containing Hepes and/or Tris, is required to expose negative cooperativity and make the receptors more accessible to insulin.     

Specific interactions at the regulatory domain-substrate binding domain interface influence the cooperativity of inhibition and effector binding in Escherichia coli D-3-phosphoglycerate dehydrogenase

The crystal structure of d-3-phosphoglycerate dehydrogenase reveals a limited number of contacts between the regulatory and substrate binding domains of each subunit in the tetrameric enzyme. These occur between the side chains of Arg-339, Arg-405, and Arg-407 in the regulatory domain and main chain carbonyls in the substrate binding domain. In addition, Arg-339 participates in a hydrogen bonding network within the regulatory domain involving Arg-338 and Tyr-410, the C-terminal residue of the enzyme subunit. Mutagenic analysis of these residues produce profound effects on the enzyme's sensitivity to serine, the cooperativity of serine inhibition, and in some cases, the apparent overall conformation of the enzyme. Mutations of Arg-405 and Arg-407, which span the interface where the two domains come together, reduce the cooperativity of inhibition and increase the sensitivity of the enzyme to serine concentration. Serine binding studies with Arg-407 converted to Ala demonstrate that cooperativity of serine binding is also significantly reduced in a manner similar to the reduction in the cooperativity of inhibition. Mutations of Tyr-410 and Arg-338 decrease the sensitivity to serine without an appreciable effect on the cooperativity of inhibition. In the case of Tyr-410, a deletion mutant demonstrates that this effect is due to the loss of the C-terminal carboxyl group rather than the tyrosine side chain. All mutations of Arg-339, with the exception of its conversion to Lys, had profound effects on the stability of the enzyme. In general, those mutants that decrease sensitivity to serine are those that participate mainly in intradomain interactions and may also directly affect the serine binding sites themselves. Those mutants that decrease cooperativity are those that participate in interdomain interaction within the subunit. The observation that the mutants that decrease cooperativity also increase sensitivity to serine suggests a potential separation of pathways between how the simple act of serine binding results in noncooperative active site inhibition in the first place and how serine binding also leads to cooperativity between sites in the native enzyme.     

Energetics of cooperative protein-DNA interactions: comparison between quantitative deoxyribonuclease footprint titration and filter binding

Using the binding of cI repressor protein to the lambda right and left operators as a model system, we have analyzed the two common experimental techniques for studying the interactions of genome regulatory proteins with multiple, specific sites on DNA. These are the quantitative DNase footprint titration technique [Brenowitz, M., Senear, D. F., Shea, M. A., & Ackers, G. K. (1986) Methods Enzymol. 130, 132-181] and the nitrocellulose filter binding assay [Riggs, A., Suzuki, H., & Bourgeois, S. (1970) J. Mol. Biol. 48, 67-83]. The footprint titration technique provides binding curves that separately represent the fractional saturation for each site. In principle, such data contain the information necessary to determine the thermodynamic constants for local site binding and cooperativity. We show that in practice, this is not possible for all values of the constants in multisite systems, such as the lambda operators. We show how these constants can nevertheless be uniquely determined by using additional binding data from a small number of mutant operators in which the number of binding sites has been reduced. The filter binding technique does not distinguish binding to the individual sites and yields only macroscopic binding parameters which are composite averages of the various local site and cooperativity constants. Moreover, the resolution of even macroscopic constants from filter binding data for multisite systems requires ad hoc assumptions as to a relationship between the number of ligands bound and the filter retention of the complex. Our results indicate that no such relationship exists. Hence, the technique does not permit determination of thermodynamically valid interaction constants (even macroscopic) in multisite systems.     

A new DNA binding mode for CAP

In the absence of cyclic AMP, the Escherichia coli cyclic AMP receptor protein (CAP) binds without detectable sequence specificity to restriction fragments containing lac and crp promoter sequences. Under standard conditions (10 mM Tris, 1 mM EDTA, pH 8.0), our estimates of the equilibrium constant and cooperativity parameter for complex formation are 114,000 +/- 1400 M-1 and 1.3 +/- 0.8, respectively. Thus, this interaction lacks the substantial cooperativity previously reported for CAP binding to genomic DNAs. Using the electrophoresis mobility shift assay, we find that complexes of increasing CAP content differ by a highly uniform mobility decrement. This result is most consistent with a binding mode in which little or no DNA bending occurs. The ability of CAP to distinguish between restriction fragments and genomic DNA, shown by the difference in binding cooperativity, suggests the existence of previously unsuspected DNA sequences or structures that modulate its binding cooperativity.     

Stoichiometric and electrostatic characterization of calcium binding to native and lipid-substituted adenosinetriphosphatase of sarcoplasmic reticulum

The stoichiometry of calcium binding to specific sites (i.e., those producing enzyme activation) was found to be 8-10 nmol/mg protein in native sarcoplasmic reticulum vesicles, and 13.9-15.4 nmol/mg of ATPase purified by non-ionic detergent solubilization and anion exchange chromatography. Parallel measurements of phosphoenzyme yielded levels of 4.0-4.9 and 6.0-7.7 nmol/mg of protein in the two preparations, respectively, demonstrating that each 115 kDa ATPase chain includes one catalytic site and two calcium binding sites. The apparent association constant, K = (6 +/- 2) X 10(5) M-1, and the binding cooperativity, nH = 1.9, were unchanged when measurements were carried out with native sarcoplasmic reticulum vesicles and when the membrane surface charge was altered by lipid substitution with phosphatidylcholine or phosphatidylserine, at neutral pH in the presence of 10 mM MgCl2 and 80 mM KCl. On the other hand, the apparent association constant was increased in the absence of Mg2+ or, to a lesser extent, in the absence of monovalent cations. It was also observed that the cooperative character of the calcium binding isotherms was reduced in low ionic-strength media. Analysis of the electrostatic effects indicates that the calcium-binding domain is shielded from the membrane phospholipid surface charge by virtue of its location within the ATPase protein. The effects of various electrolytes are attributed to monovalent-cation binding in the calcium-binding domain. The apparent loss of cooperativity of the calcium binding isotherms at low ionic strength is attributed to a progressive displacement of the titration curve which is minimal at low degrees of saturation and becomes larger at higher degrees of saturation. This behavior is described quantitatively by the progressive effect of calcium binding on an electrostatic potential generated by localized protein charge densities within, or near, the calcium-binding domain.     

Effects of heterogeneity and cooperativity on the forms of binding curves for multivalent ligands

An exploratory investigation is made of the binding behavior that is likely to be encountered with multivalent ligands under circumstances where a single intrinsic binding constant does not suffice to describe all acceptor-ligand interactions. Numerical simulations of theoretical binding behavior have established that current criteria for recognizing heterogeneity and cooperativity of acceptor sites on the basis of the deviation of the binding curve from rectangular hyperbolic form for univalent ligands also apply to the interpretation of the corresponding binding curves for multivalent ligands. However, for systems in which the source of the departure from equivalence and independence of binding sites resides in the ligand, these criteria are reversed. On the basis of these observations a case is then made for attributing results of an experimental binding study of the interaction between pyruvate kinase and muscle myofibrils to positive cooperativity of enzyme sites rather than to heterogeneity or negative cooperativity of the myofibrillar sites.     

Role of mutation Y6F on the binding properties of Schistosoma japonicum glutathione S-transferase

The role of the hydroxyl group of tyrosine 6 in the binding of Schistosoma japonicum glutathione S-transferase has been investigated by isothermal titration calorimetry (ITC). A site-specific replacement of this residue with phenylalanine produces the Y6F mutant, which shows negative cooperativity for the binding of reduced glutathione (GSH). Calorimetric measurements indicated that the binding of GSH to Y6F dimer is enthalpically driven over the temperature range investigated. A concomitant net uptake of protons upon binding of GSH to Y6F mutant was detected carrying out calorimetric experiments in various buffer systems with different heats of ionization. The entropy change is favorable at temperatures below 26 °C for the first site, being entropically favorable at all temperatures studied for the second site. The enthalpy change of binding is strongly temperature-dependent, arising from a large negative ΔC°_p1=−3.45±0.62 kJ K⁻¹ mol⁻¹ for the first site, whereas a small ΔC°_p2=−0.33±0.05 kJ K⁻¹ mol⁻¹ for the second site was obtained. This large heat capacity change is indicative of conformational changes during the binding of substrate.     

Inhibition of insulin receptor binding by dimethyl sulfoxide.

Little is known of the effects of the solvent on hormone-receptor interactions. In the present study the effect of the polar solvent dimethyl sulfoxide on the binding of insulin to its surface receptors on cultured human lymphocytes of the IM-9 line was investigated. At concentrations exceeding 0.1% (v/v), dimethyl sulfoxide produced a dose-related inhibition of 125-I-labeled insulin binding. Insulin binding was totally abolished in 20% dimethyl sulfoxide. This inhibition was immediately present and was totally reversible. Analysis of the data of binding at steady state indicated that the decrease in binding of 125I-labeled insulin was due to a reduced affinity of the insulin receptor without noticeable change in the concentration of receptor sites. Kinetic studies showed that the decreased affinity could largely be accounted for by a decreased association rate constant; effects on dissociation and negative cooperativity of the insulin receptor was affected to a much lesser extent.     

The positively cooperative binding of concanavalin a to corn starch: The isotherm of binding and a measure of the cooperativity

The binding of concanavalin A to corn starch was investigated by fluorimetric assay. The extent of binding varied linearly with the mass of ligand, and followed a hyperbolic law with respect to the mass of starch. This led to an isotherm of binding: r = 0.33A_oME_o^?0.88, where r is the extent of binding, A_o is the mass of concanavalin A present (both bound and unbound), and M_o is the mass of starch. These results, and Scatchard plots of the data, showed the binding to be positively cooperative. The exponent of the M_o term was shown to be a measure of cooperativity. The binding was dependent on the ionic strength of the dispersion medium, and this indicated that the binding may have an electrostatic component.     

Virus-receptor interaction in the adenovirus system: characterization of the positive cooperative binding of virions on HeLa cells.

The established positive cooperativity of adenovirus 2 binding to HeLa cells revealed a strong temperature dependence. The degree of cooperativity, quantified by means of Hill coefficients, progressively increased from 10 degrees C to reach a maximum level, which was maintained between 20 and 37 degrees C. On the other hand, negative cooperativity of virion attachment was apparent at 3.0 degrees C and on glutaraldehyde-stabilized cells. The corresponding monovalent ligand of the system, the fiber antigen, demonstrated only weak-positive cooperativity of the binding at 37.0 degrees C, which was absent at 3.0 degrees C. Dithiothreitol and dansylcadaverine, reagents inhibiting clustering of ligand-receptor complexes in the plasma membrane, markedly reduced the degree of positive cooperative binding at 37.0 degrees C. Evidently, the positive cooperative binding of adenovirus to HeLa cells at 37.0 degrees C is a consequence of both the multivalency of virus attachment proteins, i.e., fibers, on the virion and of the capacity of the receptor sites to migrate in the plane of the plasma membrane, forming local aggregates of virus-receptor site complexes.