A kinetic description of ligand binding to sperm whale myoglobin

Nanosecond recombination time courses were measured by photolyzing O2, NO, CO, methyl, ethyl, n-propyl, n-butyl, and tert-butyl isocyanide complexes of sperm whale myoglobin with a 30-ns laser pulse at pH 7, 20 degrees C. Absorbance was measured both during and after the excitation pulse and as a function of laser light intensity. The results were analyzed quantitatively in terms of a three-step reaction scheme, MbX in equilibrium B in equilibrium C in equilibrium Mb + X, where Mb is myoglobin, B represents a geminate state in which the ligand is present in the distal pocket but not covalently bound to the iron atom, and C, a state in which the ligand is still embedded in the protein but further away from the heme group. The fitted rate parameters were required to be consistent with the observed overall quantum yield, Q, which had been measured independently using much longer (approximately 0.5 ms) xenon flash pulses. Three major conclusions were derived from these analyses. First, the overall quantum yield of the ligand complex is determined primarily by the competition between the rate of iron-ligand bond formation from the initial photoproduct, kB----MbX, and the rate of migration away from state B, kB----C. For example, kB----C approximately equal to 30-100 microseconds-1 for all three gaseous ligands, whereas both Q and kB----MbX vary over 3 orders of magnitude (i.e. NO, Q = 0.001, kB----MbX approximately equal to 16,000 microseconds-1; O2, Q = 0.1, kB----MbX approximately equal to 500 microseconds-1; CO, Q = 1.0, kB----MbX approximately equal to 2 microseconds-1). Second, for NO, O2, and the isonitriles, the rate-limiting step in the overall association reaction starting from ligand in solution is the formation of state B. The rate constant for this process varies from 2 X 10(7) M-1 s-1 for the gaseous ligands to 0.02-1.4 X 10(5) M-1 s-1 for the isonitriles. In contrast, the B to MbX transition is limiting for CO binding. Third, for all the ligands except CO, the overall rate of dissociation is limited significantly both by the rate of thermal bond disruption, kMbX----B, and the competition between geminate recombination and migration away from the distal pocket (i.e. kB----C/(kB----MbX + kB----C]. In the case of CO, the rate of bond disruption is equal to the observed dissociation rate constant.