We have analysed the nanosecond-millisecond kinetics of ligand binding
and conformational changes in hemoglobin. The kinetics were determine
d from measurements of precise time-resolved optical spectra following
nanosecond photodissociation of the heme-carbon monoxide complex. To
fit the data, it was necessary to extend the two-state allosteric mode
l of Monod, Wyman, and Changeux (MWC) to include geminate ligand rebin
ding and nonexponential tertiary relaxation within the R quaternary st
ructure. Considerable simplification of the model is obtained by using
a;linear free energy relation for the rates of quaternary transitions
, and by incorporating concepts from recent studies on the physics of
geminate rebinding and conformational changes in myoglobin. The model,
described by 85 coupled differential equations, quantitatively explai
ns a demanding set of complex kinetic data. Moreover, with the same se
t of kinetic parameters it simultaneously fits the equilibrium data on
ligand binding and the distribution of ligation states. The present r
esults, together with those from single-crystal oxygen binding studies
, indicate that the two-state MWC allosteric model has survived its mo
st critical tests.