Fitting abnormal oxygen equilibrium curves of hemoglobin

A growing number of oxygen equilibrium curves for hemoglobin (Hb) mutants, post-translational modifications, or the binding of potent new effectors of Hb cannot be fitted adequately with the two-state model. Examples are curves showing double maxima in the derivative of the Hill plot, or slopes of less than unity. We present such examples of modified hemoglobins and strong effectors in this study and calculate at which substate level the two-state model differs from the data. Analysis of hemoglobin oxygen equilibrium curves is reconsidered using the two-state model extended to allow variation of the individual substate probabilities. In this way the effect on the equilibrium due to perturbations in energy of each substate can be studied as a diagnostic tool.     

Analysis of hemoglobin oxygen equilibrium curves. Are unique solutions possible?

As a hemoglobin tetramer is oxygenated, it converts from a form with low ligand affinity to a high-affinity structure. This allosteric transition occurs in partially liganded molecules, typically after two or three ligands are bound. As a result of the co-operative nature of the process, the populations of the partially liganded forms are low. The relative proportions and precise properties of these intermediate substrates are therefore difficult to measure and are subject to controversy. The problem is compounded by compensating effects; for example, over-estimation of the oxygen affinity of triply liganded forms will result in under-estimation of the proportion of these species. Specifically, published values for the oxygen affinity of the triply liganded species vary for identical conditions by a factor of more than 6. In analyses based on the highest affinity values, the triply liganded species virtually disappears. However, this affinity is usually calculated from the last few per cent of the oxygenation curve, and this part of the curve is extremely sensitive to the normalization of the data. We conclude that unique solutions for the ligand affinity and substrate populations may be impossible to achieve, and that unusual mechanisms based on particular combinations of parameters, therefore, should be viewed with caution.     

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.     

Precision determination and Adair scheme analysis of oxygen equilibrium curves of concentrated hemoglobin solution. A strict examination of Adair constant evaluation methods

To examine the validity of the recent finding by Gill et al. (S.J. Gill, E. Di Cera, M.L. Doyle, G.A. Bishop and C.H. Robert, Biochemistry 26 (1987) 3995) that the third overall Adair constant (A3) for human hemoglobin tetramers (Hb A) is too small to be determined and therefore that the contribution of the triply ligated species in the oxygenation process is negligibly small, highly accurate oxygen equilibrium curves for concentrated pure Hb A solutions were determined with an automatic oxygenation apparatus and analyzed by a least-squares curve-fitting method with various options. The present results indicate that an appropriate choice of weighting for data points is the key to the correct evaluation of the Adair constants and the present experimental data cannot accommodate the Adair scheme with A3 = 0, giving distinctly positive values for A3. Several criteria for correct determination of the Adair constants are presented.     

Ruthenium-iron hybrid hemoglobins as a model for partially liganded hemoglobin: oxygen equilibrium curves and resonance Raman spectra

The structure and function of iron(II)-ruthenium(II) hybrid hemoglobins alpha(Ru-CO)2 beta(Fe)2 and alpha(Fe)2 beta(Ru-CO)2, which can serve as models for the intermediate species of the oxygenation step in native human adult hemoglobin, were investigated by measuring oxygen equilibrium curves and the Fe(II)-N epsilon (His F8) stretching resonance Raman lines. The oxygen equilibrium properties indicated that these iron-ruthenium hybrid hemoglobins are good models for the half-liganded hemoglobin. The pH dependence of the oxygen binding properties and the resonance Raman line revealed that the quaternary and tertiary structural transition was induced by pH changes. When the pH was lowered, both the iron-ruthenium hybrid hemoglobins exhibited relatively higher cooperativity and a Raman line typical of normal deoxy structure, suggesting that their structure is stabilized at a "T-like" state. However, the oxygen affinity of alpha(Fe)2 beta(Ru-CO)2 was lower than that of alpha(Ru-CO)2 beta(Fe)2, and the transition to the "deoxy-type" Fe-N epsilon stretching Raman line of alpha(Fe2)beta(Ru-CO)2 was completed at pH 7.4, while that of the complementary counterpart still remained in an "oxy-like" state under the same condition. These observations clearly indicate that the beta-liganded hybrid has more "T"-state character than the alpha-liganded hybrid. In other words, the ligation to the alpha subunit induces more pronounced changes in the structure and function in Hb than the ligation to the beta subunit. This feature agrees with our previous observations by NMR and sulfhydryl reactivity experiments. The present results are discussed in relation to the molecular mechanism of the cooperative stepwise oxygenation in native human adult hemoglobin.     

The effect of formaldehyde on the oxygen equilibrium of hemoglobin

1. When formaldehyde (0.10 M) is added to solutions of human hemoglobin, the oxygen affinity of the hemoglobin increases considerably (more than tenfold near pH 7). The interaction between hemes of the same hemoglobin molecule decreases, as shown by a drop in the value of n in Hill's equation from 2.9 to 1.5 or less. 2. In the presence of formaldehyde, both n and the oxygen pressure for half-saturation fall gradually as the pH rises in the range from pH 6.2 to 7.2. 3. Some of the effect of formaldehyde on the oxygen equilibrium may be due to combination with sulfhydryl groups of the protein, but nitrogenous groups are probably also involved.     

Monomer-dimer equilibrium and oxygen binding properties of ferrous Vitreoscilla hemoglobin

The monomer-dimer equilibrium and the oxygen binding properties of ferrous recombinant Vitreoscilla hemoglobin (Vitreoscilla Hb) have been investigated. Sedimentation equilibrium data indicate that the ferrous deoxygenated and carbonylated derivatives display low values of equilibrium dimerization constants, 6 x 10(2) and 1 x 10(2) M(-1), respectively, at pH 7.0 and 10 degrees C. The behavior of the oxygenated species, as measured in sedimentation velocity experiments, is superimposable to that of the carbonylated derivative. The kinetics of O(2) combination, measured by laser photolysis at pH 7.0 and 20 degrees C, is characterized by a second-order rate constant of 2 x 10(8) M(-1) s(-1) whereas the kinetics of O(2) release at pH 7.0 is biphasic between 10 and 40 degrees C, becoming essentially monophasic below 10 degrees C. Values of the first-order rate constants (at 20 degrees C) and of the activation energies for the fast and slow phases of the Vitreoscilla Hb deoxygenation process are 4.2 s(-1) and 19.2 kcal mol(-1) and 0.15 s(-1) and 24.8 kcal mol(-1), respectively. Thus the biphasic kinetics of Vitreoscilla Hb deoxygenation is unrelated to the association state of the protein. The observed biphasic oxygen release may be accounted for by the presence of two different conformers in thermal equilibrium within the monomer. The two conformers may be assigned to a structure in which the heme-iron-bound ligand is stabilized by direct hydrogen bonding to TyrB10 and a structure in which such interaction is absent. The slow interconversion between the two conformers may reflect a very large conformational rearrangement in the disordered distal pocket segment connecting helices C and E.     

Dissociation and oxygen equilibrium properties of the extracellular hemoglobin of Eisenia foetida

The dissociation and oxygen equilibrium properties of whole blood and the purified hemoglobin from Eisenia foetida were compared. Oxygen affinities agreed approximately with each other in the range of pH 6.0 to 9.5. The values of n1/2 were higher in whole blood than in the purified hemoglobin between pH 7.0 and 9.5. The maximum values, obtained near pH 8, were about 6 in whole blood and 3.5 in the purified hemoglobin. In the purified hemoglobin, alkaline dissociation started at pH 7.8, and the approximately 60 S whole molecule dissociated completely into approximately 10 S and 5-6 S components at pH 9.1. In whole blood, however, the dissociation started at pH 8.2 and the complete disappearance of the approximately 60 S molecule occurred at pH 9.6. The values of n1/2 for the dissociation products were lower than those of the purified hemoglobin between pH 7.0 and 9.0. The value of n1/2 decreased with increasing dissociation of the approximately 60 S whole molecule with a pH rise in both whole blood and the purified hemoglobin. Addition of CaCl2 or MgCl2 up to 10 mM to the purified hemoglobin at pH 8.0-8.1 induced increases in oxygen affinity and cooperativity and in the stability of the approximately 60 S whole molecule. The effect on the oxygenation properties was greater with CaCl2 than MgCl2 at the same molar concentration. The stabilizing effect on the approximately 60 S molecule was almost the same with both CaCl2 and MgCl2. These results suggest that the dissociation of property of the hemoglobin in whole blood is controlled by both Ca2+ and Mg2+, and that its oxygenation property is controlled by Ca2+.     

The oxygen equilibrium of the hemoglobin of the eel,Anguilla rostrata

Kawamoto had reported that eel hemoglobin has a hyperbolic oxygen equilibrium function, with n in the Hill equation equal to 1. On the basis of Kawamoto's data and with new measurements, it is shown that the equilibrium function is in fact S-shaped, as in most other vertebrates, and n in Hill's equation equals 1.8.     

Effects of hemoglobin symmetry in a statistical equilibrium model for oxygen binding

The effect of hemoglobin symmetry on the statistical mechanics of its motions is considered. Hemoglobin binding equilibrium constants are presented in which symmetry factors appear that differ from one binding step to another. Inclusion of the symmetry factors improves the fit of a symmetry-modified Koshland, Némethy, Filmer expression (1966, Biochemistry, 5:365-385) with tetrahedral oxy-oxyhemoglobin subunit interactions to the high-ionic-strength binding curve of Rossi-Fanelli, Antonini and Caputo (1961, J. Biol. Chem., 236:397-400).