Linked functions in allosteric proteins: Extension of the concerted (MWC) model for ligand-linked subunit assembly and its application to human hemoglobins

The allosteric model of Monod et al. (1965) (MWC) has been extended to take into account the effects of subunit dissociation. The problem is formulated theoretically in terms of a general model for two allosteric species (dimers and tetramers) linked by a polymerization reaction. Relationships are presented for interpreting the dimer-tetramer association constants in terms of allosteric model parameters.Sub-cases of the general model were tested against recent experimental data on the oxygenation-linked dimer-tetramer equilibria in normal human hemoglobin and in the variant hemoglobin Kansas (β₁₀₂, Asp → Thr). The objectives of these analyses were: (1) to find the simplest models capable of describing the linked dimer-tetramer equilibria in the two hemoglobin systems, and (2) to evaluate the corresponding model parameters so that allosteric properties of the two hemoglobins may be compared.In the simplest version of the model, the dimer is half of an R-state tetramer. This model was found to be excluded unequivocally by the data for both normal hemoglobin and hemoglobin Kansas when the α and β chains have equal binding affinities. When this two-state model was modified to permit non-equivalent affinities for the chains, the model could be fitted to hemoglobin Kansas, but not to hemoglobin A. A model, in which the dimers are allowed to exist in a state different from the tetramer R state, was found to be consistent with the data for hemoglobin A, with equivalent binding by the α and β chains. For hemoglobin A, the unliganded R-state tetramers have a different subunit dissociation energy from that of fully liganded R-state tetramers. The simplest model capable of describing both hemoglobin A and hemoglobin Kansas was obtained by extending this three-state model to permit (but not require) functional non-equivalence of the α and β chains. For these MWC models, unique estimates were obtained for the model parameters.The allosteric constants for tetrameric hemoglobins A and Kansas are approximately equal. The value obtained from hemoglobin A is similar to previous estimates, whereas the value for hemoglobin Kansas is lower than previously estimated (Edelstein, 1971) by approximately two orders of magnitude. The low affinity of hemoglobin Kansas tetramer does not arise from an unusually high allosteric constant favoring the T-state species. It is largely the consequence of a greatly reduced oxygen affinity of β chains in the T state, and reduced values for the ratio between affinities in the R and T states.     

Coupling of ferric iron spin and allosteric equilibrium in hemoglobin.

The allosteric transition in triply ferric hemoglobin has been studied with different ferric ligands. This valency hybrid permits observation of oxygen or CO binding properties to the single ferrous subunit, whereas the liganded state of the other three ferric subunits can be varied. The ferric hemoglobin (Hb) tetramer in the absence of effectors is generally in the high oxygen affinity (R) state; addition of inositol hexaphosphate induces a transition towards the deoxy (T) conformation. The fraction of T-state formed depends on the ferric ligand and is correlated with the spin state of the ferric iron complexes. High-spin ferric ligands such as water or fluoride show the most T-state, whereas low-spin ligands such as cyanide show the least. The oxygen equilibrium data and kinetics of CO recombination indicate that the allosteric equilibrium can be treated in a fashion analogous to the two-state model. The binding of a low-spin ferric ligand induces a change in the allosteric equilibrium towards the R-state by about a factor of 150 (at pH 6.5), similar to that of the ferrous ligands oxygen or CO; however, each high-spin ferric ligand induces a T to R shift by a factor of 40.     

T-state hemoglobin with four ligands bound

Flash photolysis kinetics have been measured for ligand recombination to hemoglobin (Hb) in the presence of two effectors: bezafibrate (Bzf) and inositol hexakisphosphate (IHP). The combined influence of the two independent effectors leads to predominantly T-state behavior. Samples equilibrated with 0.1 atm of CO are fully saturated, yet after photodissociation they show only T-state bimolecular recombination rates at all photolysis levels; this indicates that the allosteric transition from R to T occurs before CO rebinding and that the allosteric equilibrium favors the T-state tetramer with up to three ligands bound. Since all four ligands bind at the rate characteristic for the T-state, the return transition from T to R must occur after the fourth ligand was bound. At 1 atm of CO, rebinding to the initial R state competes with the allosteric transition resulting in a certain fraction of CO bound at the rate characteristic for the R state; this fraction is greater the smaller the percentage dissociation. Under 1 atm of oxygen, samples are not more than 93% saturated and show mainly T-state kinetics. The results show that all four hemes can bind oxygen or CO ligands in the T structure. The fraction of the kinetics occurring as geminate is less for partially liganded (T-state) samples than for fully liganded (R-state) Hb.     

Crystal structure of horse carbonmonoxyhemoglobin-bezafibrate complex at 1.55-A resolution. A novel allosteric binding site in R-state hemoglobin

Bezafibrate, an antilipidemic drug, is known as a potent allosteric effector of hemoglobin. The previously proposed mechanism for the allosteric potency of this drug was that it stabilizes and constrains the T-state of hemoglobin by specifically binding to the large central cavity of the T-state. Here we report a new allosteric binding site of fully liganded R-state hemoglobin for this drug. The high resolution crystal structure of horse carbonmonoxyhemoglobin in complex with bezafibrate reveals that the bezafibrate molecule lies near the surface of the E-helix of each alpha subunit and the complex maintains the quaternary structure of the R-state. Binding is caused by the close fit of bezafibrate into the binding pocket, which is composed of some hydrophobic residues and the heme edge, suggesting the importance of hydrophobic interactions. Upon binding of bezafibrate, the distance between Fe and the N epsilon(2) of distal His E7(alpha 58) is shortened by 0.22 A in the alpha subunit, whereas no significant structural changes are transmitted to the beta subunit. Oxygen equilibrium studies of R-state-locked hemoglobin with bezafibrate in a wet porous sol-gel indicate that bezafibrate selectively lowers the oxygen affinity of one type of subunit within the R-state, consistent with the structural data. These results disclose a new allosteric mechanism of bezafibrate and offer the first demonstration of how the allosteric effector interacts with R-state hemoglobin.     

Transposing sequences between fetal and adult hemoglobins indicates which subunits and regulatory molecule interfaces are functionally related

To correlate amino acid sequence changes with hemoglobin function we are carrying out a detailed recombinant analysis of the adult hemoglobin/fetal hemoglobin (HbA/HbF) systems. The important physiological differences between these two tetramers lie at unspecified sites in the 39 sequence substitutions of the 146 amino acids in their beta and gamma chains. In this paper, significant differences in the tetramer-dimer dissociation constants (referred to as tetramer "strength" or "stability") of adult (HbA) and fetal (HbF) hemoglobin tetramers have been used to probe the relationship between the allosteric, sliding interface and the effects of the allosteric regulator, 2,3-DPG, in promoting oxygen release. The single amino acid difference at the allosteric interfaces of these two hemoglobins, Glu-43(beta) --> Asp-43(gamma), which is not near the DPG binding site, leads to a significantly lower DPG response, approaching that of HbF. The results are inconsistent with the long-held idea that the replacement of His-143(beta) in HbA to Ser-143(gamma) in HbF is solely responsible for the lowered DPG response in HbF. On the other hand, the Val-1(beta) --> Gly-1(gamma) replacement near the DPG binding site has no effect on the DPG response. The replacement of His-116(beta) by the hydrophobic Ile-116(gamma) at the rigid alpha(1)beta(1) interface has a marginal yet detectable effect on the allosteric alpha(1)beta(2) interface. The results, overall, are interpreted using a model involving electrostatic coupling between certain side chains and extend the concept of a long-range relationship between some distant regions of the tetramer that are likely mediated through the central cavity.     

Probing the conformation of hemoglobin presbyterian in the R-state

The influence of allosteric effectors on the R-state (liganded) conformation of Tg-HbP (human hemoglobin Presbyterian expressed in transgenic pig) has been probed using a number of biophysical techniques, and the results have been compared with that of liganded of HbA (human normal adult hemoglobin) to gain insight into the molecular basis of Asn-108()->Lys mutation–induced low-oxygen affinity of Hb. The nuclear magnetic resonance studies of Tg-HbP revealed that the conformation of the ₁₁ and ₁₂ interfaces of the protein in the deoxy state are indistinguishable from that of deoxy HbA, whereas the conformation of the microenvironment of His-103() of Tg-HbP, a residue of the ₁₁ interface, is distinct from that of HbA in the R-state. In addition, the Presbyterian mutation also influences the structure of oxy Hb in other regions of the molecule. First, it facilitates the generation of deoxy (T)-state marker at 14.2 ppm (from 2,2-dimethyl-s-silapentane-5-sulfonate) on the interaction of oxy Hb with inositol hexa-phosphate without changing the ligation state. Second, it increases the geminate yield of the 10 ns photoproduct of CO-Hb. Third, it enhances the propensity of phosphate to increase the geminate yield. Fourth, it potentiates the ability of phosphate to induce deoxy-like features at the heme environment in the R-state. Fifth, it induces T-state-like signatures at the switch and hinge regions of the ₁₂ interface. Finally, molecular modeling studies have indicated an increased affinity for the four anion binding sites mapped in the midcentral cavity of Hb caused by the presence of Lys-108(). In short, Lys-108() in HbP induces a propensity for oxy Hb to access T-like conformational features in different regions of the oxy Hb molecule and also enhances the T-like signatures in the oxy state on interaction with allosteric effectors without changing its ligation. Interestingly, the intrinsic T-like conformational features of the R-state of HbP, in addition to those induced by the addition of allosteric effectors to liganded HbP, appear to be reminiscent of features of the B-state conformation of Hb found in rHb 1.1 (recombinant hemoglobin). We propose that the lowered oxygen affinity of Tg-HbP in the presence of allosteric effectors is a consequence of an altered R-state conformation of Hb, which reflects the facilitation of switching the R-state of HbP to the T-state compared with the normal R-state of HbA, thereby reducing HbA's affinity to oxygen.     

Asymmetric (deoxy dimer/azido-met dimer) hemoglobin hybrids dissociate within seconds.

Double mixing stopped-flow experiments have been performed to study the stability of asymmetric hemoglobin (Hb) hybrids, consisting of a deoxy and a liganded dimer. The doubly liganded [deoxy/cyano-met] hybrid (species 21) was reported to have an enhanced stability, with tetramer to dimer dissociation requiring over 100 seconds, based on a method that required an incubation of over two days. However, kinetic experiments revealed rapid ligand binding to species 21, as for triply liganded tetramers, which dissociate within a few seconds. For the present study, [deoxy dimer/azido-met dimer] hybrids are formed within 200 ms by stopped-flow mixing of dithionite with a solution containing oxyHb and azido-metHb. The dithionite scavenges oxygen, thus transforming oxyHb to deoxyHb, and the [oxy dimer/azido-met dimer] hybrid to the asymmetric [deoxy/azido-met] hybrid (species 21). After a variable aging time of the asymmetric hybrids, their allosteric state is probed by CO binding in a second mixing. As previously observed the freshly produced asymmetric hybrids bind CO rapidly as for R-state Hb. As the hybrids are aged from 0.1 to 10 seconds, the fraction of slow CO binding increases, consistent with a dissociation of the asymmetric hybrid to form the more stable deoxy Hb tetramer which reacts slowly with CO. Control experiments showed a predominantly slow phase for deoxy Hb, and fast rebinding for the symmetric hybrids.The kinetic data can be simulated with a tetramer to dimer dissociation rate for species 21 of 1.5/second at 100 mM NaCl (pH 7.2) and 1.9/second at 180 mM NaCl (pH 7.4). These values are similar to those reported for liganded Hb, as opposed to deoxy (T-state) tetramers which dissociate over four orders of magnitude more slowly. As expected from simulations of dimer exchange, the observed transition rate depends on the initial fractions of oxy- and metHb; this effect is not consistent with a slow R to T transition. These results, showing a lifetime of about one second for species 21, do not support the symmetry rule which is based on an enhanced stability of the asymmetric hybrid.     

Control of the allosteric equilibrium of hemoglobin by cross-linking agents

The kinetics of ligand rebinding have been studied for modified or cross-linked hemoglobins (Hbs). Several compounds were tested that interact with alpha Val 1 or involve a cross-link between alpha Val 1 and alpha Lys 99 of the opposite dimer. By varying the length of certain cross-linking molecules, a wide range in the allosteric equilibrium could be obtained. Several of the mono-aldehyde modified Hbs show a shift toward the high affinity conformation of Hb. At the other extreme, for certain di-aldehyde cross-linked Hbs, the CO kinetics are typical of binding to deoxy Hb, even at low photodissociation levels, with which the dominant photoproduct is the triply liganded species; in these cases the hemoglobin does not switch from the low to high affinity state until after the fourth ligand is bound. Although each modified Hb shows only two distinct rates, the kinetic data as a function of dissociation level cannot be simulated with a simple two-state model. A critical length is observed for the maximum shift toward the low affinity T-state. Longer or shorter lengths of the cross-linker yielded more high affinity R-state. Unlike native Hb, which is in equilibrium with free dimers, the cross-linked Hbs maintain the fraction slow kinetics, which is unique to Hb tetramers, even at 0.5 microM (total heme). Addition of HbCN to unmodified HbCO solutions results in dimer exchange, which decreases the relative fraction of slow bimolecular kinetics; the cross-linked Hbs did not show such an effect, indicating that they do not participate in dimer exchange.     

Kinetic studies on partially liganded species of carboxyhemoglobin: alpha 2 CO beta 2 and alpha 2 beta 2CO

The valency hybrids of Hb A, alpha 2CO beta 2+, and alpha 2+ beta 2CO have been prepared by a new high pressure liquid chromatography method, and the kinetics of their CO-combination and dissociation reactions have been studied by double mixing and microperoxidase methods. Both reactions are biphasic. The slow phase in CO-combination and the fast phase in CO-dissociation are due to the reactions of alpha CO2 beta T2 or alpha 2 beta 2CO,T. The fast phase in CO-combination reaction has two components, one due to the dimers of the hybrid and the other due to the R-state tetramer. Immediately after the reduction of the valency hybrids, the overall system is represented by the equation: 2 alpha CO beta in equilibrium alpha 2CO beta 2R in equilibrium alpha 2CO beta 2T or (formula: see text) If the solutions are aged for 3-11 s, the R-state population is reduced gradually to a very small size, and the main species after 11 s of aging are dimers and T-state tetramers. Analysis of the kinetic data indicates slow R in equilibrium T equilibria in the absence of phosphates and significant dissociation of the T-state tetramer. It is concluded that the subunit contacts alpha 1-beta 2 (or alpha 2-beta 1) are impaired seriously in the hybrids. Very slow R in equilibrium T relaxation makes these hybrids unlikely intermediates in the sequential binding of CO to Hb tetramer.     

Binding of diphosphoglycerate and ATP to oxyhemoglobin dimers

The relative affinity of diphosphoglycerate and ATP for hemoglobin dimers and tetramers can be measured under conditions where the protein is in large molar excess over the polyphosphate. Binding of both compounds to dimers was about 25 times stronger than to tetramers in the case of the three low-spin hemoglobins, oxyhemoglobin, carboxyhemoglobin and cyanomethemoglobin. The mutation in hemoglobin Kansas leads to an increased dissociation into alpha beta dimers. The increase in diphosphoglycerate binding by this hemoglobin was in good agreement with that expected from the dimer-tetramer dissociation constant over a wide range of hemoglobin concentrations. In contrast to the liganded hemoglobins, both deoxyhemoglobin and aquomethemoglobin bind the two polyanions as tetramers.     

R-state hemoglobin bound to heterotropic effectors: models of the DPG, IHP and RSR13 binding sites

We performed a docking study followed by a 500-ps molecular dynamics simulation of R-state human adult hemoglobin (HbA) complexed to different heterotropic effectors [2,3-diphosphoglycerate (DPG), inositol hexaphosphate (IHP), and 2-[4-[(3,5-dichlorophenylcarbamoyl)-]methyl]-phenoxy]-2-methylpropionic acid (RSR13)) to propose a molecular basis for recently reported interactions of effectors with oxygenated hemoglobin. The simulations were carried out with counterions and explicit solvation. As reported for T-state HbA, the effector binding sites are also located in the central cavity of the R-state and differ depending on effector anionic character. DPG and IHP bind between the alpha-subunits and the RSR13 site spans the alpha1-, alpha2- and beta2-subunits. The generated models provide the first report of the molecular details of R-state HbA bound to heterotropic effectors.     

Involvement of the distal histidine in the low affinity exhibited by Hb Chico (Lys beta 66----Thr) and its isolated beta chains.

Hemoglobin (Hb) Chico (Lys beta 66----Thr at E10) has a diminished oxygen affinity (Shih, D. T.-b., Jones, R. T., Shih, M. F.-C., Jones, M. B., Koler, R. D., and Howard, J. (1987) Hemoglobin 11, 453-464). Our studies show that its P50 is about twice that of Hb A and that its cooperativity, anion, and Bohr effects between pH 7 and 8 are normal. The Bohr effect above pH 8 is somewhat reduced, indicating a small but previously undocumented involvement of the ionic bond formed by Lys beta 66 in the alkaline Bohr effect. Since the oxygen affinity of the alpha-hemes is likely to be normal, that of the beta-hemes in the tetramer is likely to be reduced by the equivalent of 1.2 kcal/mol beta-heme in binding energy. Remarkably, both initial and final stages of oxygen binding to Hb Chico are of lowered affinity relative to Hb A under all conditions examined. The isolated beta chains also show diminished oxygen affinity. In T-state Hb A, Lys(E10 beta) forms a salt bridge with one of the heme propionates, but comparison with other hemoglobin variants shows that rupture of this bridge cannot be the cause of the low oxygen affinity. X-ray analysis of the deoxy structure has now shown that Thr beta 66 either donates a hydrogen bond to or accepts one from His beta 63 via a bridging water molecule. This introduces additional steric hindrance to ligand binding to the T-state that results in slower rates of ligand binding. We measured the O2/CO partition coefficient and the kinetics of oxygen dissociation and carbon monoxide binding and found that lowered O2 and CO affinity is also exhibited by the R-state tetramers and the isolated beta chains of Hb Chico.     

Probing the diphosphoglycerate binding pocket of HbA and HbPresbyterian (beta 108Asn --> Lys).

HbPresbyterian (beta 108Asn --> Lys, HbP) contains an additional positive charge (per alpha beta dimer) in the middle of the central cavity and exhibits a lower oxygen affinity than wild-type HbA in the presence of chloride. However, very little is known about the molecular origins of its altered functional properties. In this study, we have focused on the beta beta cleft of the Hb tetramer. Recently, we developed an approach for quantifying the ligand binding affinity to the beta-end of the Hb central cavity using fluorescent analogues of the natural allosteric effector 2, 3-diphosphoglycerate (DPG) [Gottfried, D. S., et al. (1997) J. Biol. Chem. 272, 1571-1578]. Time-correlated single-photon counting fluorescence lifetime studies were used to assess the binding of pyrenetetrasulfonate to both HbA and HbP in the deoxy and CO ligation states under acidic and neutral pH conditions. Both the native and mutant proteins bind the probe at a weak binding site and a strong binding site; in all cases, the binding to HbP was stronger than to HbA. The most striking finding was that for HbA the binding affinity varies as follows: deoxy (pH 6.35) > deoxy (pH 7.20) > CO (pH 6.35); however, the binding to HbP is independent of ligation or pH. The mutant oxy protein also hydrolyzes p-nitrophenyl acetate, through a reversible acyl-imidazole pathway linked to the His residues of the beta beta cleft, at a considerably higher rate than does HbA. This implies a perturbation of the microenvironment of these residues at the DPG binding pocket. Structural consequences due to the presence of the new positive charge in the middle of the central cavity have been transmitted to the beta beta cleft of the protein, even in its liganded conformation. This is consistent with a newly described quaternary state (B) for liganded HbPresbyterian and an associated change in the allosteric control mechanism.     

A third quaternary structure of human hemoglobin A at 1.7-A resolution.

Previous crystallographic studies have shown that human hemoglobin A can adopt two stable quaternary structures, one for deoxyhemoglobin (the T-state) and one for liganded hemoglobin (the R-state). In this paper we report our finding of a second quaternary structure (the R2-state) for liganded hemoglobin A. The magnitudes of the spatial differences between the R- and R2-states are as large as those between the R- and T-states. Of particular interest are the structural changes that occur as a result of R-T and R-R2 transitions at the so-called "switch" region of the critical alpha 1 beta 2 interface. In the R-state, His-97 beta 2 is positioned between Thr-38 alpha 1 and Thr-41 alpha 1, whereas in transition to the T-state His 97 beta 2 must "jump" a turn in the alpha 1 C helix to form nonpolar contacts with Thr-41 alpha 1 and Pro-44 alpha 1. This facet of the R-T transition presents a major steric barrier to the quaternary structure change. In the R2-state, His-97 beta 2 simply rotates away from threonines 38 alpha 1 and 41 alpha 1, breaking contact with these residues and allowing water access to the center of the alpha 1 beta 2 interface. With the switch region in an open position in the R2-state, His-97 beta 2 should be able to move by Thr-41 alpha 1 and make the transition to the T-state with a steric barrier that is less than that for the R-T transition. Thus the R2-state may function as a stable intermediate along a R-R2-T pathway. The T-, R-, and R2-states must coexist in solution. That is, the fact that these states can be crystallized implies that they are all energetically accessible structures. What remains to be determined are the T-to-R, T-to-R2, and R-to-R2 equilibrium constants for hemoglobin under various solution conditions and ligation states. Although this may prove to be difficult, we discuss previously published results which indicate that low concentrations of inorganic anions or low pH may favor the R2-state and at least one alpha 1 beta 2 interface mutation stabilizes a quaternary structure that is very similar to the R2-state.     

Allosteric interactions in non-alpha chains isolated from normal human hemoglobin, fetal hemoglobin, and hemoglobin Abruzzo (beta143 (H21) His replaced by Arg).

Oxygen-linked effects of inositol hexaphosphate occur in heme-containing non-alpha chains isolated from normal human hemoglobin, fetal hemoglobin, and the abnormal human hemoglobin Abruzzo, beta143(H21) His leads to Arg. The occurrence of these effects implies that the chains undergo ligand-linked conformational changes. Inositol hexaphosphate lowers the oxygen affinity of isolated beta and gamma chains by differential binding to their deoxy conformations. Neither 2,3-diphosphoglycerate nor inorganic phosphate produces such an effect. In the case of Abruzzo beta chains, the binding of inorganic phosphate and 2,3-diphosphoglycerate is also oxygen-linked. Stripped beta chains isolated from hemoglobin Abruzzo have much higher oxygen affinity than beta chains isolated from HbA. Their higher oxygen affinity and enhanced allosteric interactions with phosphates account, in large part, for the abnormal functional behavior of the hemoglobin Abruzzo tetramer. In this hemoglobin variant the substitution of arginine for histidine at beta143 involves a residue known to interact with anionic allosteric effectors of hemoglobin. It is of interest that the effect of inositol hexaphosphate observed with isolated gamma chains is comparable to the effect observed with isolated beta chains, even though the gamma143 position is occupied by an uncharged serine residue.     

Hemoglobin tertiary structural change on ligand binding its role in the co-operative mechanism

Analysis of the tertiary structural alterations in hemoglobin induced by ligand binding demonstrates that an allosteric core composed of the heme, histidine F8, the FG corner and part of the F-helix plays an essential role in co-operativity. This conclusion is based on structural and spectroscopic data and theoretical studies of hemoglobin chains. The methodology employed in the calculations is presented with details of the empirical energy function. Energy minimized structures of the unliganded hemoglobin chains, which serve as reference systems for the analysis, are described. To determine the structural changes induced by ligand binding, the effects of FeN bond shortening and of heme translation and tilting perturbations are examined. Energy minimization in the presence of the perturbations serves to provide information concerning the globin structural modifications produced by them. The validity of the results is supported by comparisons with the X-ray data of Anderson, Pulsinelli, Baldwin and Chothia on tertiary changes in the hemoglobin subunits.Internal to the allosteric core, there appear to be two stable positions for its elements: one of these corresponds to the liganded and the other to the unliganded species. The unliganded geometry fits without strain into the deoxy tetramer, while the liganded one fits without strain into the oxy tetramer. On ligation of a subunit in the deoxy tetramer, the structural changes within the allosteric core are in the direction of those found in going from the unliganded deoxy to the liganded oxy system, although they are reduced by the presence of constraints due to the other subunits in the deoxy tetramer. In addition, the quaternary constraints in the deoxy tetramer prevent the large overall displacement of the allosteric core that occurs in the transition to the liganded oxy tetramer. The coupling between the changes internal to the allosteric core, produced on ligation and the overall displacement of the core that accompanies the quaternary transition, is an essential element of the co-operative mechanism. As shown in previous work (Gelin & Karplus, 1977), the proximal histidine serves as the link between the position of the heme and the F-helix; the asymmetric orientation of the histidine in the deoxy structure, coupled with contributions from other heme-protein interactions, appears to initiate the tertiary structural changes induced by ligand binding. The reduced oxygen affinity of hemoglobin results not from tension on the heme in the unliganded structure (there is none) but instead from strain in the liganded subunit of the tetramer within the deoxy quaternary structure. Further, the changes in the allosteric core provide a relatively localized reaction path for transmitting information concerning ligand binding from the heme group to the surface of the subunit; particularly in the α-chain, the residue Val FG5 appears to play an important role in the reaction path.The present analysis has important implications for realistic statistical thermodynamic models of hemoglobin co-operativity. It suggests that the previously formulated model (Szabo & Karplus, 1972) should be generalized by the introduction of two different subunit tertiary structures in the deoxy and in the oxy tetramer; they would be associated with the unliganded and the liganded allosteric core, respectively, and would take account of steric constraints that reduce the ligand affinity of the deoxy tetramer.     

N-terminal contributions of the γ-subunit of fetal hemoglobin to its tetramer strength: Remote effects at subunit contacts

The greatly increased tetramer strength of liganded fetal hemoglobin compared with adult hemoglobin is shown by its 70-fold smaller tetramer-dimer dissociation constant. This property has been shown previously to be only partially caused by the 5-amino-acid differences at both types of interfaces in each hemoglobin. A major contributor to tetramer strengthening is the 18-amino-acid N-terminal A helix of the gamma-subunit of fetal hemoglobin, which differs from the beta-subunit of adult hemoglobin at eight amino acid residues. This long-distance communication between the A helix and the distant C helix and FG helical corner comprising the subunit contacts at the allosteric interface represents internal signaling. Physiologically, its greater tetramer strength endows fetal hemoglobin with the capacity to abstract oxygen from maternal adult hemoglobin. It also leads to resistance of fetal red cells to the malaria parasite because the HbF tetramer does not dissociate to dimers as readily as HbA; dimers are digested by malaria proteases but tetramers are not. In this communication, we report which sites on the A helix of the gamma-subunit are important for tetramer strengthening in HbF by substituting certain amino acids in the beta-subunit by the corresponding residues in the gamma-subunit. The recombinant hemoglobins containing up to five replacements together have been extensively characterized. Mass values were within 1 unit of theory. Gly 1 (gamma) of HbF with its high pK(a) of 8.1 compared with a 7.1 value for Val 1 (beta) of HbA creates a highly electropositive N terminus that may couple with the electronegative sequence just after it on the gamma-subunit. The Leu 3 to Phe replacement has no apparent role; however, position 5 is important because replacement of Pro 5 (beta) by Glu 5 (gamma) promotes tetramer strengthening. The Glu --> Asp replacement at position 7 enhances this effect because of the lower pK(a) of Asp but the Val --> Ile substitution at position 11 has no effect. Thus, the three positive/negative sites at positions 1, 5, and 7 account for practically all of the tetramer strength of HbF, as illustrated by an electrostatic surface potential analysis. The pathway by which information is transmitted to the distant allosteric subunit interfaces is currently under study. Oxygen-binding properties of the hemoglobins with charged substitutions more closely resemble those of HbA rather than those of HbF. Thus, whereas the A helix has a major role in controlling the strength of interactions at the tetramer-dimer allosteric interface, oxygen-binding properties of HbA and HbF are influenced by sequences in the C helix and at the FG helical corner constituting the allosteric interface.     

The assignment of carbon monoxide association rate constants to the alpha and beta subunits in native and mutant human deoxyhemoglobin tetramers

The association kinetics of CO binding to site-directed mutants of human deoxyhemoglobin were measured by stopped-flow rapid mixing techniques at pH 7.0, 20 degrees C. Hemoglobin tetramers were constructed from one set of native subunits and one set of mutated partners containing His(E7) to Gly, Val(E11) to Ala, or Val(E11) to Ile substitutions. The reactivity of beta Cys93 with p-hydroxymercuribenzoate was measured to ensure that the mutant deoxyhemoglobins were capable of forming T-state quaternary conformations. Time courses for the complete binding of CO were measured by mixing the deoxygenated proteins with a 5-fold excess of ligand in the absence and presence of inositol hexaphosphate. Association rate constants for the individual alpha and beta subunits in the T-state conformation were assigned by measuring time courses for the reaction of a small, limiting amount of CO with a 20-fold excess of deoxyhemoglobin (i.e. Hb4 + CO----Hb4(CO)). The effects of the E7 and E11 mutations in T-state alpha subunits were qualitatively similar to those observed for the same subunit in the R-state (Mathews, A.J., Rohlfs, R.J., Olson, J.S., Tame, J., Renaud, J-P., and Nagai, K. (1989) J. Biol. Chem. 264, 16573-16583). The alpha His58(E7) to Gly and Val62(E11) to Ala substitutions caused 80- and 3-fold increases, respectively, in k'CO for T-state alpha subunits, and the alpha Val62(E11) to Ile mutation caused a 3-fold decrease. The beta His63(E7) to Gly and Val67(E11) to Ala substitutions produced 70- and 8-fold increases, respectively, in k'CO for T-state beta subunits whereas these same mutations caused little effect on the rate of CO binding to R-state beta subunits. The beta Val67(E11) to Ile mutation produced the same large effect, a 23-fold reduction in k'CO, in both quaternary conformations of beta subunits. These kinetic results can be interpreted qualitatively in terms of differences between the alpha and beta subunits in the deoxy and liganded crystal structures of human hemoglobin (Perutz, M.F. (1990) Annu. Rev. Physiol. 52, 1-25). Both the structural and functional data suggest that the distal portion of the beta heme pocket is tightly packed in deoxyhemoglobin whereas the CO binding site in R-state beta subunits is much more open. In contrast, the distal portion of the alpha heme pocket is restricted sterically in both quaternary states.(ABSTRACT TRUNCATED AT 400 WORDS)     

The molecular code for hemoglobin allostery revealed by linking the thermodynamics and kinetics of quaternary structural change. 2. Cooperative free energies of (alphaFeCObetaFe)2 and (alphaFebetaFeCO)2 T-state tetramers

Ligand photodissociation experiments are used to measure the prephotolysis equilibria between doubly liganded R and T quaternary conformers of the symmetric Fe-Co HbCO hybrids, (alpha(FeCO)beta(Co))(2) and (alpha(Co)beta(FeCO))(2). The free energies obtained from these data are used to calculate the cooperative free energies of the (alpha(FeCO)beta(Fe))(2) and (alpha(Fe)beta(FeCO))(2) intermediate CO-ligation states of normal hemoglobin in the T conformation, quantities important to the evaluation of current models of cooperativity. The symmetry rule model, incorporating sequential cooperativity of T-state ligand binding within an alphabeta dimer in addition to the traditional two-state cooperativity of the tetramer, predicts a larger free energy penalty for disturbing both dimers in a doubly liganded T tetramer than would be expected in the two-state model as currently formulated. (Cooperative energy penalties are simply proportional to the number of tetramer-bound ligands in the traditional two-state model.) The value found here for the energies of doubly liganded T microstates in which both dimers are perturbed, 7.9 +/- 0.3 kcal/mol, is consistent with the symmetry rule model but significantly higher than that expected (5-6 kcal/mol) in the two-state model of cooperativity.