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 the T quaternary structure has kinetic properties almost identical to those of subunits of the R quaternary structure. Addition of allosteric inhibitors reduces both the fraction of R-like subunits and the oxygen affinity of the T quaternary 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.T he two-state allosteric model of Monod, Wyman, and Changeux (1) represented a conceptual breakthrough in explaining the cooperative and regulated behavior of multisubunit proteins, with application to a wide range of biological systems (2-5). Monod, Wyman, and Changeux proposed that ligands control protein function by altering a preexisting equilibrium between high (R) and low (T) reactivity conformations that differ in intersubunit bonding (quaternary structure) and not by inducing conformational changes that are propagated to neighboring subunits as in a sequential model (6, 7). Enzyme activation, for example, results from preferential binding of ligands to the R quaternary structure, whereas inhibitors preferentially bind to T. However, a long-known serious deficiency in the application of the Monod-Wyman-Changeux (MWC) model to hemoglobin, the paradigm of allosteric proteins, is that inhibitors may also change oxygen (O 2 ) affinity without a change in quaternary structure (8-11). To understand this phenomenon, we have investigated the ligand binding kinetics and equilibria of hemoglobin encapsulated in silica gels in either the T or R quaternary structure (Fig. 1).Previous studies of hemoglobin encapsulated in silica gels showed greatly simplified equilibrium properties, compared with those in solution, because quaternary conformational changes are markedly slowed by the constraints of the surrounding cross-linked polymer (12-16). In sharp contrast to hemoglobin free in solution, O 2 binding to gel-encapsulated hemoglobin, like O 2 binding to the hemoglobin crystal (17-19), is noncooperative (Fig. 2). Encapsulation as the fully deoxygenated molecule traps hemoglobin in the low-affinity T quaternary structure, whereas encapsulation as the fully oxygenated molecule traps hemoglobin in the high-affinity R structure (12). Moreover, the affinity of the deoxy-encapsulated molecule is lowered by inhibitor ligands (called negative heterotropic allosteric effectors) such as protons, chloride ions, inositol hexaphosphate, and bezafibrate (Fig. 2) in the ...