Nanosecond time-resolved absorption studies of human oxyhemoglobin photolysis intermediates.

The time-resolved spectra of photoproducts from ligand photodissociation of oxyhemoglobin are measured in the Soret spectral region for times from 10 ns to 320 microseconds after laser photolysis. Four processes are detected at a heme concentration of 80 microM: a 38-ns geminate recombination, a 137-ns tertiary relaxation, and two bimolecular processes for rebinding of molecular oxygen. The pseudo-first-order rate constants for rebinding to the alpha and beta subunits of hemoglobin are 3.2 x 10(4) s-1 (31 microseconds lifetime) and 9.4 x 10(4) s-1 (11 microseconds lifetime), respectively. The significance of kinetic measurements made at different heme concentrations is discussed in terms of the equilibrium compositions of hemoglobin tetramer and dimer mixtures. The rebinding rate constants for alpha and beta chains are observed to be about two times slower in the dimer than in the tetramer, a finding that appears to support the observation of quaternary enhancement in equilibrium ligand binding by hemoglobin tetramers.     

Dynamics of the quaternary conformational change in trout hemoglobin

The kinetics of conformational changes in trout hemoglobin I have been characterized over the temperature range 2-65 degrees C from time-resolved absorption spectra measured following photodissociation of the carbon monoxide complex. Changes in the spectra of the deoxyheme photoproduct were used to monitor changes in the protein conformation. Although the deoxyheme spectral changes are only about 8% of the total spectral change due to ligand rebinding, a combination of high-precision measurements and singular value decomposition of the data permits a detailed analysis of both their amplitudes and relaxation rates. Systematic variation of the degree of photolysis was used to alter the distribution of liganded tetramers, permitting the assignment of the spectral relaxation at 20 microseconds to the R----T quaternary conformational change of the zero-liganded and singly liganded molecules and spectral relaxations at about 50 ns and 2 microseconds to tertiary conformational changes within the R structure. Analysis of the effect of photoselection by the linearly polarized excitation pulse indicates that a major contribution to the apparent geminate rebinding in the 50-ns relaxation arises from rotational diffusion of molecules containing unphotolyzed heme-CO complexes. The activation enthalpy and activation entropy for the R0----T0 transition are +7.4 kcal/mol and -12 cal mol-1 K-1. Using the equilibrium data, delta H = +29.4 kcal/mol and delta S = +84.4 cal mol-1 K-1 [Barisas, B. G., & Gill, S. J. (1979) Biophys. Chem. 9, 235-244], the activation parameters for the T0----R0 transition are calculated to be delta H = +37 kcal/mol and delta S = +73 cal mol-1 K-1. The similarity of the equilibrium and activation parameters for the T0----R0 transition indicates that the transition state is much more R-like than T-like. This result suggests that in the path from T0 to R0 the subunits have already almost completely rearranged into the R configuration when the transition state is reached, while in the path from R0 to T0 the subunits remain in a configuration close to R in the transition state. The finding of an R-like transition state explains why the binding of ligands causes much smaller changes in the R----T rates than in the T----R rates.     

Speed of intersubunit communication in proteins.

To determine the speed of communication between protein subunits, time-resolved absorption spectra were measured following partial photodissociation of the carbon monoxide complex of hemoglobin. The experiments were carried out using linearly polarized, 10-ns laser pulses, with the polarization of the excitation pulse both parallel and perpendicular to the polarization of the probe pulse. The substantial contribution to the observed spectra from photoselection effects was eliminated by isotropically averaging the polarized spectra, allowing a detailed comparison of the kinetics as a function of the degree of photolysis. These results show that prior to 1 microsecond both geminate ligand rebinding and conformational relaxation are independent of the number of ligands dissociated from the hemoglobin tetramer, as expected for a two-state allosteric model. After this time the kinetics depend on the ligation state of the tetramer. The conformational relaxation at 10 microseconds can be interpreted in terms of the two-state allosteric model as arising from the R to T quaternary conformational change of both unliganded and singly liganded molecules. These results suggest that communication between subunits requires about 1 microsecond and that the mechanism of the communication which occurs after this time is via the R to T conformational change. The optical anisotropy provides a novel means of accurately determining the extinction coefficients of the transient photoproduct. The decay in the optical anisotropy, moreover, provides an accurate determination of the rotational correlation time of 36 +/- 3 ns.     

Structure dynamics of the hemoglobin mutants Hb H?tel Dieu, HbG Philadelphia, HbJ Mexico, Hb St. Mandé and Hb San Diego, studied by nanosecond-laser-flash photolysis

The kinetics of the change from the carboxy to the deoxy conformation of the mutated hemoglobins mentioned in the title and of normal human adult hemoglobin were determined from measurements of light absorption changes occurring up to 50 microseconds after nanosecond-laser photodissociation of the corresponding CO complexes. The spectral evolution of the mutated hemoglobins was found to be similar in its main features to that of normal hemoglobin. The kinetics could be decomposed into two phases with rates 1.1-1.8 x 10(6) s-1 and 0.17-0.34 x 10(6) s-1 (except Hb St. Mandé which displayed only the faster phase). Study of the mutated subunits of HbJ Mexico (alpha subunit) and Hb H?tel Dieu (beta subunit) showed that they convert exponentially to the stable deoxy state after photodeligation at the same rates as the corresponding subunits of normal Hb: 1.1 x 10(6) s-1 (alpha) and 0.3 x 10(6) s-1 (beta). The results indicate that there is no direct correlation between the kinetics of spectral relaxation in the time range studied and the oxygenation properties for these hemoglobins. However, there is some indication that the kinetics are dependent upon the region of mutation.     

Proton nuclear magnetic resonance and spectrophotometric studies of nickel(II)-iron(II) hybrid hemoglobins

Ni(II)-Fe(II) hybrid hemoglobins, alpha(Fe)2 beta(Ni)2 and alpha(Ni)2 beta(Fe)2 have been characterized by proton nuclear magnetic resonance with Ni(II) protoporphyrin IX (Ni-PP) incorporated in apoprotein, which serves as a permanent deoxyheme. alpha(Fe)2 beta(Ni)2, alpha(Ni)2 beta(Fe)2, and NiHb commonly show exchangeable proton resonances at 11 and 14 ppm, due to hydrogen-bonded protons in a deoxy-like structure. Upon binding of carbon monoxide (CO) to alpha(Fe)2 beta(Ni)2, these resonances disappear at pH 6.5 to pH 8.5. On the other hand, the complementary hybrid alpha(Ni)2 beta(Fe-CO)2 showed the 11 and 14 ppm resonances at low pH. Upon raising pH, the intensities of both resonances are reduced, although these changes are not synchronized. Electronic absorption spectra and hyperfine-shifted proton resonances indicate that the ligation of CO in the beta(Fe) subunits induced changes in the coordination and spin states of Ni-PP in the alpha subunits. In a deoxy-like structure, the coordination of Ni-PP in the alpha subunits is predominantly in a low-spin (S = 0) four-coordination state, whereas in an oxy-like structure the contribution of a high-spin (S = 1) five-coordination state markedly increased. Ni-PP in the beta subunits always takes a high-spin five-coordination state regardless of solution conditions and the state of ligation in the partner alpha(Fe) subunits. In the beta(Ni) subunits, a significant downfield shift of the proximal histidyl N delta H resonance and a change in the absorption spectrum of Ni-PP were detected, upon changing the quaternary structure of the hybrid.(ABSTRACT TRUNCATED AT 250 WORDS)     

Polymerization and solubility of Ni(II)-Fe(II) hybrid Hb S

Polymerization of half-liganded Hb S was investigated using Ni(II)-Fe(II) hybrid Hb S, in which heme in either alpha or beta s subunits is replaced by Ni (II) protoporphyrin IX. Studies on the polymerization of these hybrid hemoglobins were carried out under aerobic conditions. Both alpha 2 (Ni) beta 2s (Fe-CO) and alpha 2 (Fe-CO) beta 2s (Ni) polymerized with a distinct delay time as do native deoxy-Hb S and Ni(II) Hb S. However, the critical concentration for polymerization of half-liganded Hb S, alpha 2 (Ni) beta 2s (Fe-CO) and alpha 2 (Fe-CO) beta 2s (Ni), was 4- and 8-times higher, respectively, than that of Ni(II)-Hb S. Kinetics of polymerization of both deoxygenated hybrid hemoglobins with CO completely removed were the same, although the critical concentrations for polymerization were intermediate between those for deoxy-Hb S and Ni(II)-Hb S. These results suggest that the small tertiary conformational change associated with the doubly liganded state may be much less favorable to polymerization than the completely unliganded state of Hb S. The conformational change depends on whether alpha or beta chain is liganded. The ease of polymerization and low solubility of sickle hemoglobin is dependent not only on quaternary, but on tertiary structural changes, as well as on the substitution of Val for Glu at the beta 6 position.     

Kinetic modulation in carbonmonoxy derivatives of truncated hemoglobins: the role of distal heme pocket residues and extended apolar tunnel

Truncated hemoglobins (trHbs), are a distinct and newly characterized class of small myoglobin-like proteins that are widely distributed in bacteria, unicellular eukaryotes, and higher plants. Notable and distinctive features associated with trHbs include a hydrogen-bonding network within the distal heme pocket and a long apolar tunnel linking the external solvent to the distal heme pocket. The present work compares the geminate and solvent phase rebinding kinetics from two trHbs, one from the ciliated protozoan Paramecium caudatum (P-trHb) and the other from the green alga Chlamydomonas eugametos (C-trHb). Unusual kinetic patterns are observed including indications of ultrafast (picosecond) geminate rebinding of CO to C-trHb, very fast solvent phase rebinding of CO for both trHbs, time-dependent biphasic CO rebinding kinetics for P-trHb at low CO partial pressures, and for P-trHb, an increase in the geminate yield from a few percent to nearly 100% under high viscosity conditions. Species-specific differences in both the 8-ns photodissociation quantum yield and the rebinding kinetics, point to a pivotal functional role for the E11 residue. The response of the rebinding kinetics to temperature, ligand concentration, and viscosity (glycerol, trehalose) and the viscosity-dependent changes in the resonance Raman spectrum of the liganded photoproduct, together implicate both the apolar tunnel and the static and dynamic properties of the hydrogen-bonding network within the distal heme pocket in generating the unusual kinetic patterns observed for these trHbs.     

Geminate recombination of n-butyl isocyanide to myoglobin

Transient optical absorption spectra of myoglobin were measured following photolysis of the n-butyl isocyanide complex with 10-ns laser pulses at room temperature. The data were analyzed by using singular value decomposition to give the kinetics of ligand rebinding and spectral changes. Geminate recombination phases were observed at 30 ns and 1 microsecond following photodissociation. These processes were accompanied by simultaneous changes in the shape of the Soret band which indicate changes in protein conformation. These spectral changes are not present in the geminate recombination of photolyzed complexes of myoglobin with the diatomic ligands oxygen and carbon monoxide. This difference in behavior, as well as the slower overall association rate of n-butyl isocyanide to myoglobin, can be rationalized as arising from distortion of the protein structure by the larger isocyanide ligand along the binding pathway.     

Modification of hemoglobin A with dimethyl adipimidate. Contribution of individual reacted subunits to changes in oxygen affinity.

The effect of dimethyl adipimidate, a bifunctional imidoester, on the oxygen affinity of hemoglobin A has been studied. Treatment of human oxyhemoglobin with 5 mM dimethyl adipimidate at pH 8.5, room temperature is accompanied by an increase in oxygen affinity in the presence and absence of 2,3-diphosphoglyceric acid. Circular dichroism measurements in the ultraviolet region indicate that dimethyl adipimidate-treated hemoglobin exhibits a reduced conformational change upon deoxygenation. In order to study the contribution of reacted individual subunits, alpha and beta subunits of dimethyl adipimidate-treated and untreated hemoglobin have been separated and reconstituted to form hybrid tetramers containing either the alpha-treated (alpha t beta c) or the beta-treated subunits (alpha c beta t). Electrophoresis on sodium dodecyl sulfate polyacrylamide gels of isolated alpha and beta globin subunits as well as hybrid tetramers from dimethyl adipimidate-treated hemoglobin reveals that 20% of the globin subunits are cross-linked. In the absence of 2,3-diphosphoglyceric acid, modification of alpha subunits increases the oxygen affinity and reduces the conformational change of the tetramer upon deoxygenation whereas modification of beta subunits has no effect. However, treatment of beta subunits decreases the effect of 2,3-diphosphoglyceric acid on the oxygen affinity of the hybrids and reduces the 2,3-diphosphoglyceric acid-induced spectral changes in oxyhemoglobin. Therefore the interaction of dimethyl adipimidate with both the alpha and beta subunits contributes to regulating the oxygen affinity of human hemoglobin.     

Quaternary structure dynamics and carbon monoxide binding kinetics of hemoglobin valency hybrids.

The kinetics of CO binding and changes in quaternary structure for symmetric valency hybrids of human hemoglobin have been extensively studied by laser photolysis techniques. Both alpha+beta and alpha beta+ hybrids were studied with five different ferric ligands, over a broad range of CO concentrations and photolysis levels. After full CO photolysis, the hybrid tetramers switch extensively and rapidly (< 200 microseconds) to the T quaternary structure. Both R --> T and T --> R transition rates for valency hybrid tetramers with 0 and 1 bound CO have been obtained, as well as the CO association rates for alpha and beta subunits in the R and T states. The results reveal submillisecond R reversible T interconversion, and, for the first time, the changes in quaternary rates and equilibria due to binding a single CO per tetramer have been resolved. The data also show significant alpha-beta differences in quaternary dynamics and equilibria. The allosteric constants do not vary with the spin states of the ferric subunits as predicted by the Perutz stereochemical model. For the alpha beta+CN hybrid the kinetics are heterogeneous and imply partial conversion to a T-like state with very low (seconds) R reversible T interconversion.     

Effect of ethanol on functional properties of the human hemoglobin molecule

The effect of ethanol on the oxygenation of hemoglobin was studied by kinetic absorption spectroscopy. It was found that the efficiency of oxygen geminate rebinding decreased upon ethanol addition. At ethanol concentrations up to 4.5 M, its influence on the structure and functional properties of the hemoglobin molecule is determined by changes in the bulk dielectric constant of solution. The decrease in the rate constant of the bimolecular stage of rebinding k'4 was caused by an increase in the viscosity of solution, with k'4 being approximately 1/eta 0.5. Upon oxidation of hemoglobin to hemichrome initiated by ethanol, dramatic conformational changes in the region of the heme pocket took place. They lead to a more than twofold increase in the efficiency of exit of oxygen molecules from the protein matrix to the solution after photodissociation.     

Proton nuclear magnetic resonance investigation of the spin-state equilibrium of the alpha and beta subunits in intact azidomethemoglobin

The hyperfine-shifted proton NMR spectra of human azidomethemoglobin were examined at 300 MHz in the 2-60 degree C range. From analysis of the temperature-dependent heme methyl shifts, the thermal spin-state equilibria of the alpha and beta subunits were independently analyzed in the intact tetramer. The thermodynamic values of the spin equilibrium of the alpha and beta subunits were comparable, suggesting that the spin equilibrium properties of the constituent subunits are similar to each other. Examination of the azidomethemoglobins reconstituted with deutero- or mesohemin further shows that the alpha and beta subunit difference is still small in these hemoglobins probably due to the smallness of the steric and electronic difference of the heme 2,4-substituents of the examined porphyrins. The similarity of the spin equilibrium profiles of the subunits indicates that the strain imposed from the globin to the heme iron is of comparable magnitude for the alpha and beta subunits within the azidomethemoglobins.     

Site-directed mutations of human hemoglobin at residue 35beta: a residue at the intersection of the alpha1beta1, alpha1beta2, and alpha1alpha2 interfaces

Because Tyr35beta is located at the convergence of the alpha1beta1, alpha1beta2, and alpha1alpha2 interfaces in deoxyhemoglobin, it can be argued that mutations at this position may result in large changes in the functional properties of hemoglobin. However, only small mutation-induced changes in functional and structural properties are found for the recombinant hemoglobins betaY35F and betaY35A. Oxygen equilibrium-binding studies in solution, which measure the overall oxygen affinity (the p50) and the overall cooperativity (the Hill coefficient) of a hemoglobin solution, show that removing the phenolic hydroxyl group of Tyr35beta results in small decreases in oxygen affinity and cooperativity. In contrast, removing the entire phenolic ring results in a fourfold increase in oxygen affinity and no significant change in cooperativity. The kinetics of carbon monoxide (CO) combination in solution and the oxygen-binding properties of these variants in deoxy crystals, which measure the oxygen affinity and cooperativity of just the T quaternary structure, show that the ligand affinity of the T quaternary structure decreases in betaY35F and increases in betaY35A. The kinetics of CO rebinding following flash photolysis, which provides a measure of the dissociation of the liganded hemoglobin tetramer, indicates that the stability of the liganded hemoglobin tetramer is not altered in betaY35F or betaY35A. X-ray crystal structures of deoxy betaY35F and betaY35A are highly isomorphous with the structure of wild-type deoxyhemoglobin. The betaY35F mutation repositions the carboxyl group of Asp126alpha1 so that it may form a more favorable interaction with the guanidinium group of Arg141alpha2. The betaY35A mutation results in increased mobility of the Arg141alpha side chain, implying that the interactions between Asp126alpha1 and Arg141alpha2 are weakened. Therefore, the changes in the functional properties of these 35beta mutants appear to correlate with subtle structural differences at the C terminus of the alpha-subunit.     

Functional and spectroscopic characterization of half-liganded iron-zinc hybrid hemoglobin: evidence for conformational plasticity within the T state

Functionally distinct conformations of HbA (human adult hemoglobin) were probed using deoxy and diliganded derivatives of symmetric Fe-Zn hybrids of HbA. To expand the range of accessible structures, different environments were utilized including solution, sol-gel encapsulation, and crystals. Further structural and functional modulation was achieved by the addition of allosteric effectors. Functional characterization included oxygen affinity measurements, CO combination rates, and geminate and bimolecular CO recombination, after photodissociation. The conformational properties were studied using visible resonance Raman spectroscopy as a probe of local tertiary structure at the iron-containing hemes and UV resonance Raman spectroscopy as a probe of elements of the globin known to be sensitive to quaternary structure. The combined results show a pattern in which there is a progression of conformational and functional properties that are consistent with a picture in which the T quaternary structure can accommodate a range of tertiary conformations (plasticity). At one end of the distribution is the equilibrium deoxy T state conformation that has the lowest ligand reactivity. At the other end of the distribution are T state conformations with higher ligand reactivity that exhibit "loosened" T state constraints within the globin including the alpha(1)beta(2) interface and reduced proximal strain at the heme.     

Mutational effects at the subunit interfaces of human hemoglobin: evidence for a unique sensitivity of the T quaternary state to changes in the hinge region of the alpha 1 beta 2 interface

A set of variant human hemoglobins, each with an Ala or Gly substitution at a single residue, has been prepared, and the kinetics of their reactions with carbon monoxide have been measured. This reaction is rate-limited by the binding of the first CO to the deoxygenated T state of the protein. The magnitudes of the effects of the mutations on CO combination vary widely, and, with the exception of beta Y145, the residues with the most significant effects on these kinetics are found in the hinge region of the alpha 1 beta 2 interface. Mixed-metal hybrids, with zinc protoporphyrin IX in place of heme on both alpha or both beta subunits, were prepared for beta W37E, beta W37A, alpha Y140G, and alpha Y140A, hinge region variants causing large kinetic changes, and for beta Y145G. Such hybrids permit measurements of the kinetics of CO binding to only the heme-containing alpha or beta subunits within the unliganded hemoglobin tetramer. Mutations at beta 37 and alpha 140 have global effects on the T state, increasing the rates of CO binding to both types of subunits. Mutation of beta Y145 has a large effect on the beta subunits in the deoxygenated T state, but very little effect on the alpha subunits. Oxygen equilibria measurements on the crystalline T state of beta W37E also indicate large affinity increases in both subunits of this variant. The overall oxygen equilibria of the variant hemoglobins in solution are sensitive to numerous variables besides the properties of the deoxygenated T state. In contrast to CO combination kinetics, the residues whose alterations cause the largest changes in overall oxygen equilibria in solution are scattered seemingly randomly within the alpha 1 beta 2 interface.     

A kinetic description of dioxygen motion within alpha- and beta-subunits of human hemoglobin in the R-state: geminate and bimolecular stages of the oxygenation reaction

Laser flash photolysis technique is used to study human hemoglobin (HbA) oxygenation. Monomolecular geminate oxygenation of triliganded R-state HbA molecules is described by a function of three exponentials. Geminate oxygenation of the alpha-subunit within R-state HbA is characterized by two components with time constants of 0.14 and 1 ns, while geminate oxygenation of the beta-subunit within HbA is characterized by two components with time constants of 1 and approximately 30 ns. Bimolecular oxygenation of triliganded R-state HbA molecules is described by a biexponential law. Two observed rate constants are assigned to oxygenation of the alpha- and beta-subunit within HbA. The bimolecular association rate constants for O(2) rebinding with the alpha- and beta-subunit within triliganded R-state HbA are k(alpha) = 18.8 +/- 1.3 (microM x s)(-1) and k(beta) = 52 +/- 4 (microM x s)(-1), respectively. The apparent quantum yields of photodissociation of the beta- and alpha-subunit within completely oxygenated R-state HbA differ from each other by a factor of 3.6 and are equal to 0.041 +/- 0.004 and 0.0114 +/- 0.0012, respectively. The apparent quantum yield of photodissociation of completely oxygenated R-state HbA is equal to 0.026 +/- 0.003.     

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.     

Investigation of laser-induced long-lived states of photolyzed MbCO

We present evidence from resonance Raman and absorption measurements that the extended exposure of MbCO to CW laser light at low temperatures alters the CO rebinding kinetics and leads to a significantly increased population of very long lived states of photolyzed MbCO. This optical "pumping" process is observed for samples frozen in both aqueous buffer and glycerol/buffer and exhibits power law behavior with a very weak temperature dependence. A comparison of the nonexponential rebinding kinetics of CO molecules from the pumped states with the rebinding observed in flash photolysis experiments suggests that the pumped states are distinct geminate states, not observed in flash photolysis experiments. Thus, a four-state model, with two geminate states, is implicated for MbCO. Pumped states may represent "separated geminate pair" states with the CO molecule still in the heme pocket or possibly trapped within a cavity on its way through the protein matrix, consistent with molecular dynamics simulations. The possibility of significant deoxyheme relaxation from a less domed to a more domed configuration, as a result of the multiple photolysis events associated with the pumping process, is also explored. However, the small changes observed in the Soret band line shape and position subsequent to pumping at T less than 180 K tend to rule out this explanation for the pumping process. Since the yield for creating a pumped state is small (e.g., less than 10(-7) for T greater than 100 K), pumping can be observed only after extended illumination and is absent in flash photolysis measurements, even after multiple flashes. At higher temperatures (T greater than 180 K), the escape of the CO molecule to the solvent is observed. Our data are consistent with a "phase transition" of the protein that is coupled to the surrounding matrix. The protein fluctuations are quenched below approximately 185 K for a solvent composed of 70% glycerol and below approximately 260 K for aqueous buffer. We also present the first large amplitude measurements of CO rebinding from the protein exterior, observed below 200 K after freezing the sample under laser illumination.     

Evolution of allosteric models for hemoglobin

We compare various allosteric models that have been proposed to explain cooperative oxygen binding to hemoglobin, including the two-state allosteric model of Monod, Wyman, and Changeux (MWC), the Cooperon model of Brunori, the model of Szabo and Karplus (SK) based on the stereochemical mechanism of Perutz, the generalization of the SK model by Lee and Karplus (SKL), and the Tertiary Two-State (TTS) model of Henry, Bettati, Hofrichter and Eaton. The preponderance of experimental evidence favors the TTS model which postulates an equilibrium between high (r)- and low (t)-affinity tertiary conformations that are present in both the T and R quaternary structures. Cooperative oxygenation in this model arises from the shift of T to R, as in MWC, but with a significant population of both r and t conformations in the liganded T and in the unliganded R quaternary structures. The TTS model may be considered a combination of the SK and SKL models, and these models provide a framework for a structural interpretation of the TTS parameters. The most compelling evidence in favor of the TTS model is the nanosecond - millisecond carbon monoxide (CO) rebinding kinetics in photodissociation experiments on hemoglobin encapsulated in silica gels. The polymeric network of the gel prevents any tertiary or quaternary conformational changes on the sub-second time scale, thereby permitting the subunit conformations prior to CO photodissociation to be determined from their ligand rebinding kinetics. These experiments show that a large fraction of liganded subunits in the T quaternary structure have the same functional conformation as liganded subunits in the R quaternary structure, an experimental finding inconsistent with the MWC, Cooperon, SK, and SKL models, but readily explained by the TTS model as rebinding to r subunits in T. We propose an additional experiment to test another key prediction of the TTS model, namely that a fraction of subunits in the unliganded R quaternary structure has the same functional conformation (t) as unliganded subunits in the T quaternary structure.