The gelation of deoxyhemoglobin S in erythrocytes as detected by transverse water proton relazation measurements

At 37 °C, when samples of blood, washed erythrocytes, or isolated hemoglobin from individuals with sickle cell disease are deoxygenated, the transverse water proton relaxation time is sharply decreased. In similar samples from normal adults homozygous for hemoglobin A, only a slight decrease in t₂ is observed upon deoxygenation at 37 °C. In samples containing deoxyhemoglobin S the value of t₂ increases as the temperature is decreased from 37 °C to 4 °C, in contrast to samples containing oxyhemoglobin S, oxyhemoglobin A, or deoxyhemoglobin A where t₂ decreases as the temperature decreases. It is suggested that this decrease in t₂ observed in samples of deoxyhemoglobin S at 37 °C is the result of an increase in the amount of preferentially oriented water at macromolecular interfaces which occurs under conditions known to produce deoxyhemoglobin S gelation. Conditions which reverse deoxyhemoglobin S gelation such as lowering the temperature to 4 °C decrease the amount of preferentially oriented water which results in an increase in the value of t₂. Thus, measurement of the transverse water proton relaxation time can be used to monitor the gelation of deoxyhemoglobin S inside the erythrocyte.     

Kinetics of polymerization of deoxyhemoglobin S and mixtures of hemoglobin A and hemoglobin S at high hemoglobin concentrations

Transverse water proton relaxation times (T₂) have been measured as a function of time after deoxygenation of solutions containing hemoglobin S. The shortened T₂ values observed upon deoxygenation of hemoglobin S result from an increase in the correlation time (τ_c) of the water fraction irrotationally bound to deoxyhemoglobin S as it polymerizes. Therefore, the change in τ_c as a function of time after deoxygenation can be used to measure the rate of polymer formation. The change in τ_c observed is reasonably fit by the first-order equation τ = τ₀ (1 ? e^?kt) + τ_oxy. At a total hemoglobin concentration of approximately 300 mg/ml, the pseudo-first-order rate constant in a heterozygous AS sample is 25 times slower than in a homozygous S sample, k = 0.019 and 0.47 s^?1, respectively. Since the transit time for an erythrocyte in vivo is approximately 15 s, these results suggest that the heterozygous A/S erythrocyte would traverse the circulation and become reoxygenated before extensive polymerization and, therefore, cell sickling could occur. For the homozygous S/S erythrocyte, there is ample time for polymerization and for cell sickling during circulation.     

Inhibitory effect of deoxyhemoglobin A2 on the rate of deoxyhemoglobin S polymerization.

From a consideration of the primary sequence of hemoglobin A₂ and the reported 5 å molecular contacts between deoxyhemoglobin S molecules in a crystal, it is predicted that hemoglobin A₂ might act as an inhibitor of the polymerization of deoxyhemoglobin S in a manner similar to hemoglobin. F. This has been tested experimentally by measuring the rate of change of the transverse water proton relaxation times (T₂) in equimolar mixtures of hemoglobin S and one of the non-gelling hemoglobins A, F or A₂. Hemoglobins A₂ and F have far more pronounced inhibitory effects on the rate of polymerization than does hemoglobin A. These molecules contain several amino acid differences from hemoglobin A beta chains which are located in the 5 Å molecular crystal contacts and these altered crystal contacts result in a much stronger inhibition of the rate of polymerization. Since hemoglobin A₂ is a normal hemoglobin found in small amounts in all adult red cells, increased delta chain synthesis may have potential importance in therapy for sickle cell disease.     

Tracer diffusion coefficients of oxyhemoglobin a and oxyhemoglobin s in blood cells as determined by pulsed field gradient NMR

It is demonstrated that tracer diffusion coefficients can be determined for oxyhemoglobin A (HbA-O₂) and oxyhemoglobin S (HbS-O₂) in intact blood cells by means of pulsed field gradient NMR (PFG-NMR). This is possible because the method discriminates between both rapidly moving water molecules and molecules having small proton transverse relaxation times (T₂). The results indicate that only hemoglobin molecules contribute to the echo signals when large field gradients are used. The dependence of the measured diffusion coefficients on osmolarity and pH are attributed to changes in hemoglobin concentration resulting from changes in cell volume.     

Gelation of sickle cell hemoglobin in mixtures with normal adult and fetal hemoglobins.

We report the results of thermodynamic and kinetic studies on the gelation of mixtures of sickle cell (S) deoxyhemoglobin with normal human adult (A) and fetal (F) deoxyhemoglobins. The delay time of thermally induced gelation was monitored by the increase in turbidity. At the completion of gelation the solubility was determined by sedimenting the polymers and measuring the supernatant concentration spectrophotometrically. Addition of hemoglobins A or F, at mole fractions from 0 to 0.6, resulted in large increases in both the solubility and the delay time. For a 50:50 mixture of deoxyhemoglobin F with deoxyhemoglobin S, the solubility increased by a factor of 1.8 and the delay time by a factor of 10⁷ relative to pure deoxyhemoglobin S at the same total concentration, while for a 50:50 mixture of deoxyhemoglobins A and S the solubility increased by a factor of 1.4 and the delay time by a factor of 10⁴. The relative delay times were independent of both temperature and total hemoglobin concentration. The data have been analyzed according to theoretical models which treat the effects of temperature, concentration, non-ideality and solution composition on the thermodynamics and kinetics of gelation. The increased solubility in mixtures with deoxyhemoglobin F is fully explained by a model in which only deoxyhemoglobin S molecules polymerize. The effect of fetal hemoglobin (α₂γ₂) and hybrid α₂γβ^S molecules is to increase the solution non-ideality through the contribution of their excluded volume. The smaller increase in the solubility observed in comparable mixtures with deoxyhemoglobin A requires that the hybrid α₂β^Aβ^S molecules copolymerize with the deoxyhemoglobin S. The kinetic results for the mixtures can be quantitatively accounted for using a nucleation model in which the equilibrium properties of the polymer are used to describe the critical nucleus. The very large increases in delay time observed for the $\text{S}\text{F}$ mixtures can be explained by assuming that only α₂β₂^S molecules participate in the formation of a nucleus containing about 25 monomers. As in the thermodynamic analysis, the smaller effect of adding deoxyhemoglobin A can be attributed to the contribution of the hybrid molecules in forming the critical nucleus. Thus the difference between the polymerization properties of mixtures of deoxyhemoglobin S with deoxyhemoglobins A and F can be attributed solely to the copolymerization of the α₂β^Aβ^S hybrid molecule and the absence of any significant copolymerization of the α₂γβ^S hybrid.     

Water proton magnetic resonance studies of normal and sickle erythrocytes Temperature and volume dependence

The temperature and cell volume dependence of the NMR water proton linewidth, spin-lattice, and spin-spin relaxation times have been studied for normal and sickle erythrocytes as well as hemoglobin A and hemoglobin S solutions. Upon deoxygenation, the spin-spin relaxation time (T₂) decreases by a factor of 2 for sickle cells and hemoglobin S solutions but remains relatively constant for normal cells and hemoglobin A solutions. The spin-lattice relaxation time (T₁) shows no significant change upon dexygenation for normal or sickle packed red cells. Studies of the change in the NMR linewidth, T₁ and T₂ as the cell hydration is changed indicate that these parameters only slightly by a 10–20% cell dehydration. This result suggests that the reported 10% cell dehydration observed with sickling is not important in the altered NMR properties. Low temperature studies of the linewidth and T₁ for oxy and deoxy hemoglobin A and hemoglobin S solutions suggest that the “bound” water possesses similar properties for all four species. The low temperature linewidth ranges from about 250 Hz at ?15°C to 500 Hz at ?36°C and analysis of the NMR curves yield hydration values near 0.4 g water/g hemoglobin for all four species. The low temperature T₁ data go through a minimum at ?35°C for measurements at 44.4 MHz and ?50°C for measurements at 17.1 MHz and are similar for oxy and deoxy hemoglobin A and hemoglobin S. These similarities in the low temperature NMR data for oxy and deoxy hemoglobin A and hemoglobin S suggest a hydrophobically driven sickling mechanism. The room temperature and low temperature relaxation time data for normal and sickle cells are interpreted in terms of a three-state model for intracellular water. In the context of this model the relaxation time data imply that type III, or irratationally bound water, is altered during the sickling process.     

Kinetics of the polymerization of hemoglobin S: studies below normal erythrocyte hemoglobin concentration.

The kinetics of polymerization of deoxyhemoglobin S have been studied by measuring transverse water proton relaxation times (T₂) in hemoglobin solutions. As seen by other techniques, the kinetic profile consists of a delay time followed by a decrease in T₂ during polymerization. The length of the delay time can be decreased and the rate of change of T₂ can be increased by increasing the concentration of hemoglobin S or non-gelling hemoglobin or ovalbumin. At a total protein concentration of about 210 mg/ml the kinetic profiles in all three cases are indistinguishable suggesting that a non-specific protein-protein interaction may be involved in the kinetics of polymerization. In addition, it is suggested that no polymer formation occurs during the delay period.     

Observation of allosteric transition in hemoglobin

Two conclusions have been drawn from NMR studies of mixed state hemoglobins. First the α and β subunits in hemoglobin are not equivalent in their conformational properties. Second the mixed state hemoglobin (α^IIICN β^II)₂ can take two different quaternary structures without changing the degree of ligation. One of the two structures is similar to that of deoxyhemoglobin and the other to that of oxyhemoglobin.     

ESR correlation times of 2,2,6,6-tetramethyl piperidone-N-oxyl (Tempone) in solutions of hemoglobin A and hemoglobin S.

Correlation times for the tumbling motion of the spin probe 2,2,6,6,-tetramethyl piperidone-N-oxyl (Tempone) were obtained in the presence of different concentrations of oxyhemoglobin A, oxyhemoglobin S, and deoxyhemoglobin S and compared to the viscosity of non-gelling hemoglobin solutions. Reorientational motion (or tumbling) of Tempone in gelled solutions of deoxyhemoglobin S is as great as that in non-gelled hemoglobins of the same total concentration. It is concluded that the gel does not exclusively partition Tempone into an aqueous phase of lower solute concentration after gel formation. The gel at room temperature is a highly mobile and dynamic structure on the microscopic level.     

Inhibition of the gelation of extracellular and intracellular hemoglobin S by selective acetylation with methyl acetyl phosphate

Methyl acetyl phosphate binds to the 2,3-diphosphoglycerate (2,3-DPG) binding site of hemoglobin and selectively acetylates three amino groups at or near that site. The subsequent binding of 2,3-DPG is thus impeded. When intact sickle cells are exposed to methyl acetyl phosphate, their abnormally high density under anaerobic conditions is reduced to the density range of oxygenated, nonsickling erythrocytes. This change is probably due to a combination of direct and indirect effects induced by the specific acetylation. The direct effect is on the solubility of deoxyhemoglobin S, which is increased from 17 g/dL for unmodified hemoglobin S to 22 g/dL for acetylated hemoglobin S at pH 6.8. Acetylated hemoglobin S does not gel at pH 7.4, up to a concentration of 32 g/dL. The indirect effect could be due to the decreased binding of 2,3-DPG to deoxyhemoglobin S within the sickle erythrocyte, thus hindering the conversion of oxyhemoglobin S to the gelling form, deoxyhemoglobin S.     

Evaluation of the water environments in deoxygenated sickle cells by longitudinal and transverse water proton relaxation rates

The longitudinal and transverse water proton relaxation rates of oxygenated and deoxygenated erythrocytes from both normal adults and individuals with sickle cell disease were measured as a function of temperature at two different frequencies. The simplest model which fits all of the data consists of three different environments for water molecules. The majority of the water (98%) has a correlation time indistinguishable from bulk water (3 × 10^?11 sec). Secondly, there is a small amount of water (1.3–1.5%) present which has a correlation time of 2–4 × 10 ^?9 sec and is apparently independent of the erythrocyte sample studied. Presumably this water is the hydration sphere around the hemoglobin molecules and its correlation time is significantly slower than bulk water. The third environment contains approximately 0.2% of the water present and has a correlation time≥ 10^?7 sec. This third environment is considered tightly bound to the hemoglobin because the water proton correlation time is very similar to the expected rotational correlation time for the hemoglobin molecules. The value of the transverse relaxation rate, f_b(T_2b)^?1, for the tightly bound water fraction decreases in oxy ($\text{S}\text{S}$), deoxy ($\text{A}\text{A}$), and oxy ($\text{A}\text{A}$) erythrocyte samples as the temperature is increased as expected for a rotational correlation time process. In dramatic contrast,f_b (T_2b)^?1 increases almost linearly as the temperature is increased over the whole 4 ° to 37 °C temperature range in samples of deoxy ($\text{S}\text{S}$) erythrocytes. The observation suggests a continual increase in the formation of deoxyhemoglobulin S polymers rather than a sudden transition from a homogeneous solution of deoxyhemoglobin S molecules to a solid gel.     

Hemoglobin-water interactions in normal and sickle erythrocytes by proton magnetic resonance T1ϱ measurements

The dependence of the water proton magnetic resonance spin-lattice relaxation rate (T_1?^?1) in the rotating frame on the strength of the spin-locking (H₁) field has been investigated for packed oxy and deoxy normal and sickle erythrocytes at temperatures from 9 to 40 °C. The T_1?^?1 of oxy or deoxy normal erythrocytes shows no dependence on H₁ up to ~7 G at any temperature studied. On the other hand, T_1?^?1 decreases from about 40 s^?1 to 15 s^?1 (H₁ from 0 to ~7 G) for deoxygenated packed sickle cells at 40 °C. The magnitude of this variation of T_1?^?1 with H₁ decreases with decreasing temperature. Oxy packed sickle cells also show a dependence of T_1?^?1 on H₁ but the magnitude is <10% of that of the deoxygenated samples. These results suggest that water proton T_1?^?1 measurements are a sensitive probe of hemoglobin S polymerization and provide a novel technique for the study of slow water motions in these systems. The T_1?^?1 results are compared with low frequency T₁^?1 results of other investigators on hemoglobin S solutions. Analysis of the data suggests that water proton motions with correlation times of the order of 10^?5 s are present in the deoxygenated sickle cell samples at temperatures above 10 °C.     

The Binding of Asparagine,Glutamine and Homoserine to Human Erythrocytes Containing Hemoglobins S and CS and to Soluble Hemoglobins S and CS

Abstract

Tritium labeled asparagine binds to oxyhemoglobin S and to a mixture of hemoglobins C and S in the molar ratio of 3.38:1 and 8.2:1 respectively. From the dialysis equilibrium studies it appears that labeled asparagine does not bind to oxy- or deoxy- hemoglobin A nor to deoxyhemoglobin S. The constant for equilibrium association of asparagine for oxyhemoglobin S is 7.38 × 10⁷ M^?1 and for'oxyhemoglobin CS 4.8 × 10⁴ M^?1 at 23°C. Tritium labeled asparagine is bound to oxyhemoglobin S and CS sufficiently strongly to prevent dissociation under the conditions of gel electrophoresis at pH 9.50. The protein with and without bound asparagine, gluta-mine or homoserine, is indistinguishable in molecular net charge and size by the criteria of quantitative polyacrylamide gel electrophoresis (PAGE). Also there were no significant differences in mobility between hemoglobin S and hemoglobin C in the presence and absence of asparagine, glutamine and homoserine as detectable in agar coated cellulose acetate electrophoresis at pH 6.3. Erythrocytes containing hemoglobin S and CS, after incubation with tritium labeled asparagine and lysis under the conditions of gel electrophoresis at pH 9.5, release hemoglobin S and C with bound tritiated asparagine. No tritiated asparagine remains bound to the ghost.     

Molecular dynamics simulations indicate that deoxyhemoglobin,oxyhemoglobin, carboxyhemoglobin,and glycated hemoglobin under compression and shear exhibit an anisotropic mechanical behavior

We developed a new mechanical model for determining the compression and shear mechanical behavior of four different hemoglobin structures. Previous studies on hemoglobin structures have focused primarily on overall mechanical behavior; however, this study investigates the mechanical behavior of hemoglobin, a major constituent of red blood cells, using steered molecular dynamics (SMD) simulations to obtain anisotropic mechanical behavior under compression and shear loading conditions. Four different configurations of hemoglobin molecules were considered: deoxyhemoglobin (deoxyHb), oxyhemoglobin (HbO₂), carboxyhemoglobin (HbCO), and glycated hemoglobin (HbA_1C). The SMD simulations were performed on the hemoglobin variants to estimate their unidirectional stiffness and shear stiffness. Although hemoglobin is structurally denoted as a globular protein due to its spherical shape and secondary structure, our simulation results show a significant variation in the mechanical strength in different directions (anisotropy) and also a strength variation among the four different hemoglobin configurations studied. The glycated hemoglobin molecule possesses an overall higher compressive mechanical stiffness and shear stiffness when compared to deoxyhemoglobin, oxyhemoglobin, and carboxyhemoglobin molecules. Further results from the models indicate that the hemoglobin structures studied possess a soft outer shell and a stiff core based on stiffness.     

Interactions of adenosine triphosphate with snake hemoglobins. Studies in Liophis miliaris,Boa constrictor and Bothrops alternatus

The hemoglobins of three snake species: Liophis miliaris, Bothrops alternatus and Boa constrictor present a single ATP binding site per tetramer. The ATP association constant values for the deoxyhemoglobins at pH 7.5 were about K_D ≅ 10⁶ M⁻¹ (10⁷ M⁻¹ for B. contrictor), three to four orders of magnitude higher than the respective values for oxyhemoglobin of about K_O ≅ 10² M⁻¹. The deoxyhemoglobin constant values markedly decrease as a function of pH, becoming, at pH 8.5, about K_D ≅ 10³ M⁻¹ whereas for the oxyhemoglobin the constants remain of about the same, K_O ≅ 10² M⁻¹, at the pH range studied. The high ATP binding affinity constants, compared to those of human hemoglobin A, were explained from a molecular structural standpoint, considering L. miliaris hemoglobin, whose complete primary sequence is known. Two distinct amino acid residue differences were found in the β-chain, one being Trp (NA3) (more hydrophobic) in the snake hemoglobin which substitutes the Leu (NA3) in human hemoglobin, and the second being Val 101 β (G3) instead of Glu 101 β (G3). The substitutions could provide an un-neutralized, positively charged, residue Lys-104β and, taking into account its high pK value, the pH dependence of ATP binding affinity for the snake hemoglobin would originate from pH-dependent ionization of phosphate groups of the allosteric effector. The physiological implications of the high ATP binding constant, as well as the possible protective role of the nucleotide binding against the effect of high environmental temperatures on the oxygen dissociation curves, are discussed.     

Hemoglobin oxygen fractional saturation regulates nitrite-dependent vasodilation of aortic ring bioassays

Nitrite reacts with deoxyhemoglobin to generate nitric oxide (NO). This reaction has been proposed to contribute to nitrite-dependent vasodilation in vivo and potentially regulate physiological hypoxic vasodilation. Paradoxically, while deoxyhemoglobin can generate NO via nitrite reduction, both oxyhemoglobin and deoxyhemoglobin potently scavenge NO. Furthermore, at the very low O(2) tensions required to deoxygenate cell-free hemoglobin solutions in aortic ring bioassays, surprisingly low doses of nitrite can be reduced to NO directly by the blood vessel, independent of the presence of hemoglobin; this makes assessments of the role of hemoglobin in the bioactivation of nitrite difficult to characterize in these systems. Therefore, to study the O(2) dependence and ability of deoxhemoglobin to generate vasodilatory NO from nitrite, we performed full factorial experiments of oxyhemoglobin, deoxyhemoglobin, and nitrite and found a highly significant interaction between hemoglobin deoxygenation and nitrite-dependent vasodilation (P < or = 0.0002). Furthermore, we compared the effect of hemoglobin oxygenation on authentic NO-dependent vasodilation using a NONOate NO donor and found that there was no such interaction, i.e., both oxyhemoglobin and deoxyhemoglobin inhibited NO-mediated vasodilation. Finally, we showed that another NO scavenger, 2-carboxyphenyl-4,4-5,5-tetramethylimidazoline-1-oxyl-3-oxide, inhibits nitrite-dependent vasodilation under normoxia and hypoxia, illustrating the uniqueness of the interaction of nitrite with deoxyhemoglobin. While both oxyhemoglobin and deoxyhemoglobin potently inhibit NO, deoxyhemoglobin exhibits unique functional duality as an NO scavenger and nitrite-dependent NO generator, suggesting a model in which intravascular NO homeostasis is regulated by a balance between NO scavenging and NO generation that is dynamically regulated by hemoglobin's O(2) fractional saturation and allosteric nitrite reductase activity.     

Effect of pH, carbamylation and other hemoglobins on deoxyhemoglobin S aggregation inside intact erythrocytes as detected by proton relaxation rate measurements.

Measurement of the transverse water proton relaxation rate has been used to study the effect of pH, carbamylation, and other hemoglobins on the aggregation of deoxyhemoglobin S inside intact erythrocytes. Upon complete deoxygenation, cyanate-treated ($\text{S}\text{S}$) erythrocytes and erythrocytes heterozygous with respect to hemoglobin S ($\text{A}\text{S}$, $\text{C}\text{S}$, and $\text{S}\text{D}$) have high transverse water proton relaxation rates very similar to the values obtained with homozygous ($\text{S}\text{S}$) erythrocytes. These results suggest extensive intermolecular interactions between deoxyhemoglobin S molecules and a resultant increase in the correlation time for the small fraction of “irrotationally bound” water. When the transverse relaxation rate in deoxygenated ($\text{S}\text{S}$) erythrocytes was measured as a function of pH, the maximum rate was observed between pH 7.0 and 7.5. Upon increasing the pH beyond this range the observed relaxation rate decreases as does the number of sickled cells. Upon decreasing the pH, the observed transverse relaxation rate also decreases but the ratio of values from $\text{deoxy}\text{oxy}$ ($\text{S}\text{S}$) erythrocytes remains in the normal range of 4–6 and the number of sickled cells does not change. Therefore, the deoxyhemoglobin S aggregate inside sickled erythrocytes, as observed by water proton relaxation rates, is not altered by carbamylation or by the presence of nongelling hemoglobins. In addition, the enhancement of the relaxation rates as a function of pH is consistent with the number of sickled forms observed.     

Demonstration of lag phase in the sol-gel transformation of deoxygenated S hemoglobin without temperature alteration.

1). During the sol to gel transformation of deoxygenated sickle hemoglobin, a time-dependent process preceding gel formation (lag phase) was demonstrated that was inversely proportional to a function of the hemoglobin concentration and that occurred without alteration in temperature, pH, or oxygen tension. 2). As determined by the Schachman modification of the capillary viscometer, preparations of oxyhemoglobin S and A and deoxyhemoglobin A were indistinguishable when compared over a wide range of concentrations. Up to the concentration at which gelling occurred, deoxyhemoglobin S exhibited the same viscosity behavior. The viscosity of deoxygenated hemoglobin S within the lower gelling concentration range was normal during the lag phase and became abnormally high only at the time of gelation.     

Kinetics of ligand binding to ferrous heme groups of hemoglobin MSaskatoon.

Hemoglobin M_Saskatoon (α₂^Aβ₂^63tyr) has two α chains in the normal ferrous state, while its two β chains are in the ferric state. The reaction of hemoglobin M_Saskatoon with carbon monoxide at pH 7 and 20 °C in the presence and absence of dithionite was studied. In the absence of dithionite only the α chains react and the combination rate is slow and similar to that of normal deoxyhemoglobin. After the addition of dithionite the rate of reaction is greatly increased initially and then decreases to a rate similar to that seen in the absence of dithionite. The dissociation of oxygen from hemoglobin M_Saskatoon at pH 7 and 20 °C was found for the α subunits to be similar to that seen for normal oxyhemoglobin. This similarity in the kinetic properties of normal hemoglobin and the α subunits of hemoglobin M_Saskatoon in both ligand combination and dissociation reactions indicates that the α subunits of hemoglobin M_Saskatoon undergo a structural transition from a low to high affinity form on liganding. Since the β subunits react rapidly with carbon monoxide even when the α subunits are unliganded, it appears that the ligand binding sites of the β chains are uncoupled from the state of liganding of the α subunits.     

Ligand binding and the gelation of sickle cell hemoglobin.

The solubility equilibrium between monomer and polymer which has been shown to exist in deoxyhemoglobin S solutions is examined in solutions partially saturated with carbon monoxide. The total solubility is found to increase monotonically with increasing fractional saturation. At low fractional saturations the increase is nearly linear, amounting roughly to an increase of 0.01 g cm^?3 in solubility for each 10% increase in fractional saturation. Linear dichroism measurements on the spontaneously aligned polymer phase are used to examine the composition of the polymer as a function of the fractional saturation of the corresponding solution phase. The dichroism experiments show that the polymer phase contains less than 5% of CO-liganded hemes even at supernatant fractional saturations in excess of 70%. The polymer selects against totally liganded hemoglobin molecules by a minimum factor of 65 and against singly liganded molecules by a factor of at least 2.5. Consequently, polymerized hemoglobin S has a ligand affinity which is significantly lower than that of monomeric hemoglobin S in the deoxy quaternary structure.The kinetics of the polymerization reaction in the presence of CO are similar to those observed in pure deoxyhemoglobin S solutions. The polymerization is preceded by a pronounced delay, the duration of which, t_d, is proportional roughly to the 30th power of the solubility. At low fractional saturations, this amounts to a tenfold increase in t_d for each 10% increase in the fractional saturation.These results show that the polymerization reaction is nearly specific for deoxyhemoglobin. Models for the dependence of the solubility and the polymer saturation on ligand partial pressure demonstrate the importance of solution phase non-ideality in determining the solubility of mixtures. The results require selection against partially liganded species which is significantly greater than is predicted by the two-state allosteric model. The data are compatible with either sequential or allosteric models in which the major polymerized component is the unliganded hemoglobin molecule.