To understand why the classical two-state allosteric model of Monod, Wyman, and Changeux explains cooperative oxygen binding by hemoglobin but does not explain changes in oxygen affinity by allosteric inhibitors, we have investigated the kinetic properties of unstable conformations transiently trapped by encapsulation in silica gels. Conformational trapping reveals that after nanosecond photodissociation of carbon monoxide a large fraction of the subunits of theTquaternary structure has kinetic properties almost identical to those of subunits of theRquaternary structure. Addition of allosteric inhibitors reduces both the fraction ofR-like subunits and the oxygen affinity of theTquaternary structure. These kinetic and equilibrium results are readily explained by a recently proposed generalization of the Monod-Wyman-Changeux model in which a preequilibrium between two functionally different tertiary, rather than quaternary, conformations plays the central role.

To understand the interplay between tertiary and quaternary transitions associated with hemoglobin function and regulation, oxygen binding curves were obtained for hemoglobin A fixed in the T quaternary state by encapsulation in wet porous silica gels. At pH 7.0 and 15°C, the oxygen pressure at half saturation (p50) was measured to be 12.4 ± 0.2 and 139 ± 4 torr for hemoglobin gels prepared in the absence and presence of the strong allosteric effectors inositol hexaphosphate and bezafibrate, respectively. Both values are in excellent agreement with those found for the binding of the first oxygen to hemoglobin in solution under similar experimental conditions. The corresponding Hill coefficients of hemoglobin gels were 0.94 ± 0.02 and 0.93 ± 0.03, indicating, in the frame of the Monod, Wyman, and Changeux model, that high and low oxygen‐affinity tertiary T‐state conformations have been isolated in a pure form. The values, slightly lower than unity, reflect the different oxygen affinity of α‐ and β‐hemes. Significantly, hemoglobin encapsulated in the presence of the weak effector phosphate led to gels that show intermediate oxygen affinity and Hill coefficients of 0.7 to 0.8. The heterogeneous oxygen binding results from the presence of a mixture of the high and low oxygen‐affinity T states. The Bohr effect was measured for hemoglobin gels containing the pure conformations and found to be more pronounced for the high‐affinity T state and almost absent for the low‐affinity T state. These findings indicate that the functional properties of the T quaternary state result from the contribution of two distinct, interconverting conformations, characterized by a 10‐fold difference in oxygen affinity and a different extent of tertiary Bohr effect. The very small degree of T‐state cooperativity observed in solution and in the crystalline state might arise from a ligand‐induced perturbation of the distribution between the high‐ and low‐affinity T‐state conformations.

Significance: Although the theoretical model of Monod, Wyman, and Changeux (MWC) is one of the most influential and highly cited theoretical models in bioscience, it fails to explain allosteric effects in hemoglobin, the paradigm of allostery, because their model considers only quaternary preequilibria. By using a new kind of laser photolysis experiment, measurements of ligand rebinding kinetics for transient hemoglobin conformations trapped by encapsulation in silica gels support the simplest possible extension of the MWC allosteric model to include tertiary in addition to quaternary conformational preequilibria. While the MWC model provides a qualitative explanation for allostery in many multisubunit proteins, quantitative analysis will most probably require the extension used here to explain our new results.