Allosteric kinetics and equilibria of triligated, cross-linked hemoglobin.

Using modulated excitation, we have measured the forward and reverse rates of the allosteric transition between relaxed (R) and tense (T) quaternary structures for triply ligated hemoglobin (Hb), cross-linked between the alpha chains at Lys 99. Oxygen, carbon monoxide, and water were used as ligands and were studied in phosphate and low Cl- bis-Tris buffers at neutral pH. Since the cross-link prohibits disproportionation, triply ligated aquomet Hb species with ferrous beta chains were specifically isolated by isoelectric focusing. Modulated excitation provides rate pairs and therefore gives equilibrium constants between quaternary structures. To coordinate with that information, oxygen binding curves of fully ferrous and tri-aquomet Hb were also measured. L3, the equilibrium constant between three liganded R and T structures, is determined by modulated excitation to be of order unity for O2 or CO (1.1 to 1.5 for 3O2 and 0.7 for 3CO bound), while with three aquomet subunits it is much greater (> or = 23). R-->T conversion rates are similar to those found for HbA, with weak sensitivity to changes in L3. The L3 values from HbXL O2 were used to obtain a unique allosteric decomposition of the ferrous O2 binding curve in terms of KT, KR, and L3. From these values and the O2 binding curve of tri-aquomet HbXL, L3 was calculated to be 2.7 for the tri-aquomet derivative. Consistency in L3 values between equilibrium and modulated excitation data for tri-aquomet-HbXL can be achieved if the equilibrium constant for O2 binding to the alpha chains is six times lower than that for binding to the beta chains in the R state, while the cooperative properties remain homogeneous. The results are in quantitative agreement with other studies, and suggest that the principal effect of the cross-link is to decrease the R state and T state affinity of the alpha subunits with almost no change in the affinity of the beta subunits, leaving the allosteric parameters L and c unchanged.     

Allosteric interpretation of the oxygen-binding reaction of human hemoglobin tetramers

An allosteric model is presented that provides a simple explanation for the low population of triply ligated species, relative to the other species, in the oxygenation of human hemoglobin tetramers as found in high-concentration studies [Gill, S. J., Di Cera, E., Doyle, M. L., Bishop, G. A., & Robert, C. H. (1987) Biochemistry (preceding paper in this issue)]. The model is a quantitative interpretation of the Perutz mechanism [Perutz, M. F. (1970) Nature (London) 228, 726-739] and is based on a number of structural and thermodynamic findings so far reported in the analysis of hemoglobin properties. Human hemoglobin is assumed to exist in two quaternary states: the T or low-affinity state and the R or high-affinity state. An extreme chain heterogeneity in the T state is postulated so that oxygen binds only to the alpha chains. Nearest-neighbor interactions between the alpha chains may lead to cooperativity within the T state. The R state is noncooperative, and both the alpha and beta chains have equal oxygen affinity.     

Carbon dioxide and oxygen linkage in human hemoglobin tetramers

Differential binding curve measurements for oxygen in the presence of fixed carbon dioxide activities have allowed a detailed determination of the linkage between carbon dioxide and the oxygenated intermediates of human hemoglobin. Model-independent analysis of the data shows that at pH 7.4: (1) the oxygen binding curves are asymmetrical, the population of the triply oxygenated species being negligible; (2) the shape of the oxygen binding curve is invariant with carbon dioxide activity; (3) the maximum linkage is -0.32 moles carbon dioxide per mole oxygen; and (4) the overall carbon dioxide-dependent shift in the oxygen binding curve cannot be explained in terms of carbamino formation alone, the additional influence of bicarbonate being required. An allosteric model that accounts for the low population of triply oxygenated hemoglobin species is employed here as a framework from which to explore the carbon dioxide linkage mechanism at the intermediate stages of oxygenation. Carbon dioxide binding constants are found to be 780 M-1 and 580 M-1 for carbon dioxide binding to the deoxygenated alpha and beta chains, respectively, and 150 M-1 for carbon dioxide binding to the oxygenated form of both chains, as determined by simultaneous fitting of the oxygen binding curves with the model. Finally, by use of the determined binding polynomial for the carbon dioxide-oxygen linkage scheme, we have constructed a series of linkage graphs.     

Double-mixing kinetic studies of the reactions of monoliganded species of hemoglobin: alpha 2(CO)1 beta 2 and alpha 2 beta 2(CO)1.

The kinetics of CO association to and dissociation from the two isomers of monoliganded species alpha ICO beta I(alpha II beta II) and alpha I beta I (alpha II beta COII) has been studied by double-mixing stopped-flow and microperoxidase methods. The monoliganded species were generated by hybridization between excess ferric Hb and alpha CO2 beta +2 or alpha +2 beta CO2 prepared by high-pressure liquid chromatography (HPLC). The results indicated that: 1) there were no significant differences in the reactivities of alpha and beta chains in the first step of ligation; 2) in the second step of ligation there was significant cooperativity in the reaction of deoxyhemoglobin with 0.05 or 0.1 equivalent of CO. Diliganded species were therefore formed in significant amounts. The double-mixing HPLC results suggested that in the second step of ligation alpha chains reacted faster than the beta chains, and the main diliganded species formed was alpha I beta ICO (alpha IICO beta II) or its isomer alpha ICO I(alpha II beta IICO). These results seem to indicate that the reaction of the first CO is mostly random and in the second step of ligation CO binds more to the tetramers in which one beta chain is already ligated: alpha I beta I (alpha II beta II) + CO----alpha ICO beta I (alpha II beta II) and alpha I beta ICO (alpha II beta II) + CO----alpha I beta ICO (alpha IICO beta II).     

Modulation of reactivity and conformation within the T-quaternary state of human hemoglobin: the combined use of mutagenesis and sol-gel encapsulation

A range of conformationally distinct functional states within the T quaternary state of hemoglobin are accessed and probed using a combination of mutagenesis and sol-gel encapsulation that greatly slow or eliminate the T --> R transition. Visible and UV resonance Raman spectroscopy are used to probe the proximal strain at the heme and the status of the alpha(1)beta(2) interface, respectively, whereas CO geminate and bimolecular recombination traces in conjunction with MEM (maximum entropy method) analysis of kinetic populations are used to identify functionally distinct T-state populations. The mutants used in this study are Hb(Nbeta102A) and the alpha99-alpha99 cross-linked derivative of Hb(Wbeta37E). The former mutant, which binds oxygen noncooperatively with very low affinity, is used to access low-affinity ligated T-state conformations, whereas the latter mutant is used to access the high-affinity end of the distribution of T-state conformations. A pattern emerges within the T state in which ligand reactivity increases as both the proximal strain and the alpha(1)beta(2) interface interactions are progressively lessened after ligand binding to the deoxy T-state species. The ligation and effector-dependent interplay between the heme environment and the stability of the Trp beta37 cluster in the hinge region of the alpha(1)beta(2) interface appears to determine the distribution of the ligated T-state species generated upon ligand binding. A qualitative model is presented, suggesting that different T quaternary structures modulate the stability of different alphabeta dimer conformations within the tetramer.     

Heats of carbon monoxide binding by hemoglobin M Iwate.

The heat of reaction of CO gas with the alpha2Mmetbeta2 and alpha2Mbeta2 species of the alpha-chain mutant hemoglobin M Iwate has been studied in buffers with different heats of ionization of 25degrees and in the absence of organic phosphates. For the alpha2Mmetbeta2deoxy species we find a small Bohr effect (0.12 mol of H+/mol of CO) which is in correspondence with that found in equilibrium studies. The heat of reaction, when corrected for proton reaction with buffer, is -18.4 +/- 0.3 kcal/mol of CO at pH 7.4 At pH 9 the same value is observed within experimental error. This value compares closely with heats of reaction of CO with myoglobin and with van't Hoff determinations of the heat of oxygen binding to isolated hemoglobin alpha and beta chains after correction for the heat of replacement of O2 by CO. Furthermore, an analysis of the differential heat of ligand binding as a function of the extent of reaction indicated that, within experimental error, the heat of reaction with the first beta-chain heme in alpha2Mmetbeta2deoxy is the same as the second. Since the quaternary Tleads to R transition is blocked in this mutant hemoglobin, we compared it with Hb A to estimate the enthalpic component of the allosteric T leads to R transition in Hb A. The heats of reaction with CO(g) and Hb A are -15.7 +/- 0.5 and -20.9 +/- 0.5 kcal/mol at pH 7.4 and 9.0, respectively. In going from the T to the R state we find an enthalpy of transition of 9 +/- 2.5 kcal at pH 7.4 and -12 +/- 2.5 kcal at pH 9.0. From published free energies of transsition we conclude the T leads to R transition is enthalpically controlled at p/ 7.4 but entropically controlled at pH 9.0 A near normal Bohr effect is estimated from heats of reaction of CO with alpha2Mdeoxybeta2deoxy in various buffers. A large than normal heat of reaction (-21.6 +/- 0.5 kcal/mol of CO) is attributed to the abnormal alpha chains in Hb M Iwate.     

Carbon monoxide binding to human hemoglobin A0

The carbon monoxide binding curve to human hemoglobin A0 has been measured to high precision in experimental conditions of 600 microM heme, 0.1 M N-(2-hydroxyethyl)piperazine-N'-2-ethanesulfonic acid, 0.1 M NaCl, 10 mM inositol hexaphosphate, 1 mM disodium ethylenediaminetetraacetic acid, pH 6.94, and 25 degrees C. Comparison to the oxygen binding curve in the same experimental conditions demonstrates that the two curves are not parallel. This result invalidates Haldane's two laws for the partitioning between carbon monoxide and oxygen to human hemoglobin. The partition coefficient is found to be 263 +/- 27 at high saturation, in agreement with previous studies, but is lowered substantially at low saturation. Although the oxygen and carbon monoxide binding curves are not parallel, both show the population of the triply ligated species to be negligible. The molecular mechanism underlying carbon monoxide binding to hemoglobin is consistent with the allosteric model [Di Cera, E., Robert, C. H., & Gill, S. J. (1987) Biochemistry 26, 4003-4008], which accounts for the negligible contribution of the triply ligated species in the oxygen binding reaction to hemoglobin [Gill, S. J., Di Cera, E., Doyle, M. L., Bishop, G. A., & Robert, C. H. (1987) Biochemistry 26, 3995-4002]. The nature of the different binding properties of carbon monoxide stems largely from the lower partition coefficient of the T state (123 +/- 34), relative to the R state (241 +/- 19).(ABSTRACT TRUNCATED AT 250 WORDS)     

New twists on an old story: hemoglobin

New determinations of oxygen and carbon monoxide binding to human hemoglobin, indicating an extremely small population of triply ligated species, suggest a close relationship with structural features that govern the allosteric mechanism of cooperativity.     

The molecular code for hemoglobin allostery revealed by linking the thermodynamics and kinetics of quaternary structural change. 1. Microstate linear free energy relations

A novel model linking the thermodynamics and kinetics of hemoglobin's allosteric (R --> T) and ligand binding reactions is applied to photolysis data for human HbCO. To describe hemoglobin's kinetics at the microscopic level of structural transitions and ligand-binding events for individual [ij]-ligation microstates ((ij)R --> (ij)T, (ij)R + CO --> ((i)(+1))(k)R, and (ij)T + CO --> ((i)(+1))(k)T), the model calculates activation energies, (ij)DeltaG(++), from previously measured cooperative free energies of the equilibrium microstates (Huang, Y., and Ackers, G. K. (1996) Biochemistry 35, 704-718) by using linear free energy relations ((ij)DeltaG(++) - (01)DeltaG(++) = alpha[(ij)DeltaG - (01)DeltaG], where the parameter alpha, describing the variation of activation energy with reaction energy perturbation, can depend on the natures of both the reaction and the perturbation). The alpha value measured here for the allosteric dynamics, 0.21 +/- 0.03, corresponds closely to values observed previously, strongly suggesting that the thermodynamic microstate energies directly underlie the allosteric kinetics (as opposed to the alpha((ij)DeltaG(RT)) serving merely as arbitrary fitting parameters). Besides systematizing the study of hemoglobin kinetics, the utility of the microstate linear free energy model lies in the ability to test microscopic aspects of allosteric dynamics such as the "symmetry rule" for quaternary change deduced previously from thermodynamic evidence (Ackers, G. K., et al. (1992) Science 255, 54-63). Reflecting a remarkably detailed correspondence between thermodynamics and kinetics, we find that a kinetic model that includes the large free energy splitting between doubly ligated T microstates implied by the symmetry rule fits the data significantly better than one that does not.     

Control of heme reactivity by diffusion: structural basis and functional characterization in hemoglobin mutants.

The effect of mutagenesis on O(2), CO, and NO binding to mutants of human hemoglobin, designed to modify some features of the reactivity that hinder use of hemoglobin solutions as blood substitute, has been extensively investigated. The kinetics may be interpreted in the framework of the Monod-Wyman-Changeux two-state allosteric model, based on the high-resolution crystallographic structures of the mutants and taking into account the control of heme reactivity by the distal side mutations. The mutations involve residues at topological position B10 and E7, i.e., Leu (B10) to Tyr and His (E7) to Gln, on either the alpha chains alone (yielding the hybrid tetramer Hbalpha(YQ)), the beta chains alone (hybrid tetramer Hbbeta(YQ)), or both types of chains (Hb(YQ)). Our data indicate that the two mutations affect ligand diffusion into the pocket, leading to proteins with low affinity for O(2) and CO, and especially with reduced reactivity toward NO, a difficult goal to achieve. The observed kinetic heterogeneity between the alpha(YQ) and beta(YQ) chains in Hb(YQ) has been rationalized on the basis of the three-dimensional structure of the active site. Furthermore, we report for the first time an experiment of partial CO binding, selective for the beta chains, to high salt crystals of the mutant Hb(YQ) in the T-state; these crystallographic data may be interpreted as "snapshots" of the initial events possibly occurring on ligand binding to the T-allosteric state of this peculiar mutant Hb.     

Semihemoglobins, high oxygen affinity dimeric forms of human hemoglobin respond efficiently to allosteric effectors without forming tetramers

Significant reduction in oxygen affinity resulting from interactions between heterotropic allosteric effectors and hemoglobin in not only the unligated derivative but also the fully ligated form has been reported (Tsuneshige, A., Park, S. I., and Yonetani, T. (2002) Biophys. Chem. 98, 49-63; Yonetani, T., Park, S. I., Tsuneshige, A., Imai, K., and Kanaori, K. (2002) J. Biol. Chem. 277, 34508-34520). To further investigate this effect in more detail, alpha- and beta-semihemoglobins, namely, alpha(heme)beta(apo) and alpha(apo)beta(heme), respectively, were prepared and characterized with respect to the impact of allosteric effectors on both conformation and ligand binding properties. Semihemoglobins are dimers characterized by a high affinity for oxygen and lack of cooperativity. We found that, compared with stripped conditions, semihemoglobins responded to effectors (inositol hexaphosphate and L35) by decreasing the affinity for oxygen by 60- and 130-fold for alpha- and beta-semihemoglobins, respectively. 1H NMR and sedimentation velocity experiments carried out with their ligated and unligated forms in the absence and presence of effectors revealed that semihemoglobins always remain as single-heme-carrying dimers. Recombination kinetics of their photolyzed CO derivatives showed that effectors did indeed interact with their ligated forms. Measurements of the Fe-His stretching mode show that the semihemoglobins undergo a large ligand binding-induced conformational shift and that both ligand-free and ligand derivatives respond to the presence of effectors. Contradictions to the Monod-Wyman-Changeaux/Perutz allosteric model arise since 1) the modulation of ligand affinity is not achieved in semihemoglobins by the formation of a low affinity T conformation (quaternary effect) but by direct interaction with effectors, 2) effectors do interact significantly with ligated forms of high affinity semihemoglobins, and 3) modulation of the ligand affinity and the cooperativity are not necessarily linked but instead can be separated into two distinct phenomena that can be isolated.     

Quaternary structure and geminate recombination in hemoglobin: flow-flash studies on alpha 2CO beta 2 and alpha 2 beta 2CO.

The kinetics of geminate recombination for the diliganded species alpha 2CO beta 2 and alpha 2 beta 2CO of human hemoglobin were studied using flash photolysis. The unstable diliganded species were generated just before photolysis by chemical reduction in a continuous flow reactor from the more stable valency hybrids alpha 2CO beta 2+ and alpha 2+ beta 2CO, which could be prepared by high pressure liquid chromatography. Before the flash photolysis studies, the hybrids had been characterized by double-mixing stopped-flow kinetics experiments. At pH 6.0 in the presence of inositol hexaphosphate (IHP) both of the diliganded species show second order kinetics for overall addition of a third CO that is clearly characteristic of the T state (l' = 1-2 x 10(5) M-1 s-1), whereas at higher pH and in the absence of IHP they show combination rates characteristic of an R state. The kinetics of geminate recombination following photolysis of a bound CO, however, showed little dependence on pH and IHP concentration. This surprising observation is explained on the basis that the kinetics of geminate recombination of CO primarily depends on the tertiary structure of the ligand binding site, which apparently does not differ much between the R state and the liganded T state formed on adding IHP in this system. Since this explanation requires distinguishing different tertiary structures within a particular quaternary structure, it amounts to a contradiction to the two-state allosteric model.     

The dissociation of carbon monoxide from hemoglobin intermediate

To investigate the mechanism of allosteric switching in human hemoglobin, we have studied the dissociation of the ligand (CO) from several intermediate ligation states by a stopped-flow kinetic technique that utilizes competitive binding of CO by microperoxidase. The hemoglobin species investigated include Hb(CO)4, the diliganded symmetrical species (alpha beta-CO)2 and (alpha-CO beta)2, and the di- and monoliganded asymmetrical species (alpha-CO beta-CO)(alpha beta), (alpha-CO beta)(alpha beta-CO), (alpha beta-CO) (alpha beta), and (alpha-CO beta)(alpha beta). They were obtained by rapid reduction with dithionite of the corresponding valence intermediates that in turn were obtained by chromatography or by hybridization. The nature and concentration of the intermediates were determined by isoelectric focusing at -25 degrees C. The study was performed at varying hemoglobin concentrations (0.1, 0.02, and 0.001 mM [heme]), pH (6.0, 7.0, 8.0), with and without inositol hexaphosphate. The results indicate that: (a) hemoglobin concentration in the 0.1-0.02 mM range does not significantly affect the kinetic rates; (b) the alpha chains dissociate CO faster than the beta chains; (c) the symmetrical diliganded intermediates show cooperativity with respect to ligand dissociation that disappears in the presence of inositol hexaphosphate; (d) the monoliganded intermediates dissociate CO faster than the diliganded intermediates; (e) the asymmetrical diliganded intermediates are functionally different from the symmetrical species.     

Determination of the rate and equilibrium constants for oxygen and carbon monoxide binding to R-state human hemoglobin cross-linked between the alpha subunits at lysine 99

The kinetics of O2 and CO binding to R-state human hemoglobin A0 and human hemoglobin cross-linked between the alpha chains at Lys99 residues were examined using ligand displacement and partial photolysis techniques. Oxygen equilibrium curves were measured by Imai's continuous recording method (Imai, K. (1981) Methods Enzymol. 76, 438-449). The rate of the R to T transition was determined after full laser photolysis of the carbon monoxide derivative by measuring the resultant absorbance changes at an isosbestic point for ligand binding. Chemical cross-linking caused the R-state O2 affinity of alpha subunits to decrease 6-fold compared with unmodified hemoglobin. This inhibition of O2 binding was the result of both a decrease in the rate constant for ligand association and an increase in the rate constant for dissociation. The O2 affinity of R-state beta subunits was reduced 2-fold because of an increase in the O2 dissociation rate constant. These changes were attributed to proximal effects on the R-state hemes as the result of the covalent cross-link between alpha chain G helices. This proximal strain in cross-linked hemoglobin was also expressed as a 5-fold higher rate for the unliganded R to T allosteric transition. The fourth O2 equilibrium binding constant, K4, measured by kinetic techniques, could be used to analyze equilibrium curves for either native or cross-linked hemoglobin. The resultant fitted values of the Adair constants, a1, a2, and a3 were similar to those obtained when K4 was allowed to vary, and the fits were of equal quality. When K4 was fixed to the kinetically determined value, the remaining Adair constants, particularly a3, became better defined.     

Kinetic studies of the reactions of O(2) and NO with reduced Thermus thermophilus ba(3) and bovine aa(3) using photolabile carriers

The reactions of molecular oxygen (O(2)) and nitric oxide (NO) with reduced Thermus thermophilus (Tt) ba(3) and bovine heart aa(3) were investigated by time-resolved optical absorption spectroscopy to establish possible relationships between the structural diversity of these enzymes and their reaction dynamics. To determine whether the photodissociated carbon monoxide (CO) in the CO flow-flash experiment affects the ligand binding dynamics, we monitored the reactions in the absence and presence of CO using photolabile O(2) and NO complexes. The binding of O(2)/NO to reduced ba(3) in the absence of CO occurs with a second-order rate constant of 1×10(9)M(-1)s(-1). This rate is 10-times faster than for the mammalian enzyme, and which is attributed to structural differences in the ligand channels of the two enzymes. Moreover, the O(2)/NO binding in ba(3) is 10-times slower in the presence of the photodissociated CO while the rates are the same for the bovine enzyme. This indicates that the photodissociated CO directly or indirectly impedes O(2) and NO access to the active site in Tt ba(3), and that traditional CO flow-flash experiments do not accurately reflect the O(2) and NO binding kinetics in ba(3). We suggest that in ba(3) the binding of O(2) (NO) to heme a(3)(2+) causes rapid dissociation of CO from Cu(B)(+) through steric or electronic effects or, alternatively, that the photodissociated CO does not bind to Cu(B)(+). These findings indicate that structural differences between Tt ba(3) and the bovine aa(3) enzyme are tightly linked to mechanistic differences in the functions of these enzymes. This article is part of a Special Issue entitled: Respiratory Oxidases.     

Oxygen binding constants for human hemoglobin tetramers

High-precision studies of oxygen binding in hemoglobin (HbA0) solutions at near-physiological concentrations (2-12 mM heme; pHs 7.0-9.1; various buffers) have led to an unanticipated result: an unmeasurably low contribution from the triply ligated species. We have obtained this result from new differential oxygen-binding measurements for human hemoglobin through the use of a thin-layer apparatus, which enables study of solutions at high Hb concentrations. The effect of tetramer dissociation into dimers, which becomes significant at hemoglobin concentrations below 1 mM in heme, is avoided. The analysis of the binding reactions is thus cast in terms of tetramer-binding polynomial written with overall Adair equilibrium constants which directly reflect the contributions of intermediate ligated species. The unmeasurable contribution of the triply ligated species renders the equilibrium constants of the third and fourth stepwise reactions practically undeterminable.     

NMR characterization of a diamagnetic model of unliganded alpha chains from human hemoglobin.

This paper reports the reconstitution and spectroscopic characterization of a complex between alpha globin from human adult hemoglobin and protoporphyrin IX-Zn(II). Optical and proton one-dimensional (1-D) NMR spectra indicate that the prosthetic group binds in a 1:1 stoichiometry to the apoglobin in a single conformation. Using 2-D proton NMR techniques we assigned resonances corresponding to the majority of porphyrin substituents and to several side chains of amino acids in contact with the porphyrin. Analysis of nuclear Overhauser enhancement interactions between identified protons indicated that the complex contains only one rotation isomer of the prosthetic group. The diamagnetic Zn(II) ion is coordinated to the proximal histidine (His87) and does not bind O2 or CO as a sixth ligand. The ring current effects on protons from the distal valine (Val62) are considerably higher than in the liganded form providing strong evidence for a more compact ligand binding pocket relative to the carbon monoxy state. Therefore, protoporphyrin-Zn(II)/alpha globin complex is a suitable diamagnetic model for unliganded alpha chains and will be used for structure determination by NMR and modeling methods.     

Flash photolytic studies of carbon monoxide binding to the ferrous chains of [Mn(II),Fe(II)] hybrid hemoglobins: kinetic mechanism for the early stages of hemoglobin ligation

Flash photolysis is employed to investigate the kinetics of CO recombination to the ferrous chains of [Mn(II),Fe(II)] hemoglobin (Hb) hybrids. At low pH (6.6), Hb remains predominantly in the T quaternary state for the first two CO ligation steps, when binding to either the alpha chains or beta chains. At elevated pH, CO binding to the alpha chains produces a larger degree of T to R conversion than binding to the beta chains, in support of earlier equilibrium measurements. This study provides the full pH dependence of the CO binding rate constants for both alpha- and beta-Fe chains within the T state and at elevated values of pH gives the R-state rate constants for the monoliganded analogues. The data can be analyzed within the context of a two-state model for Hb cooperativity, but they give clear evidence for slow quaternary structure interconversion at the monoliganded level.     

Equilibrium oxygen binding to human hemoglobin cross-linked between the alpha chains by bis(3,5-dibromosalicyl) fumarate

Oxygen equilibrium curves of human hemoglobin Ao (HbAo) and human hemoglobin cross-linked between the alpha chains (alpha alpha Hb) by bis(3,5-dibromosalicyl) fumarate were measured as a function of pH and chloride or organic phosphate concentration. Compared to HbAo, the oxygen affinity of alpha alpha Hb was lower, cooperativity was maintained, although slightly reduced, and all heterotropic effects were diminished. The major effect of alpha alpha-cross-linking appears to be a reduction of the oxygen affinity of R-state hemoglobin under all conditions. However, while the oxygen affinity of T-state alpha alpha Hb was slightly reduced at physiologic chloride concentration and in the absence of organic phosphates, KT was the same for both hemoglobins in the presence of 2,3-diphosphoglycerate (or high salt) and higher for alpha alpha Hb in the presence of inositol hexaphosphate. The reduced O2 affinity arises from smaller binding constants for both T- and R-state alpha alpha Hb rather than through stabilization of the low affinity conformation. All four Adair constants could be determined for alpha alpha Hb under most conditions, but a3 could not be resolved for HbAo without constraining a4, suggesting that the cross-link stabilizes triply ligated intermediates of hemoglobin.