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The binding of colchicine to tubulin, purified by two cycles of assembly-disassembly, has been studied. Equilibrium studies indicated a dissociation constant which declined during incubation approaching a minimum value of approximately 0.30 times 10- minus 6 M after 13 hours of incubation. Because tubulin is unstable during prolonged incubation (t1/2 of 5.2 hours for free tubulin, t1/2 of 12.5 hours for tubulin bound to colchicine), the equilibrium Kd was felt to be an overestimation of the true Kd. The rate constant of dissociation (k-1 equal to 0.009 hour- minus 1 hour- minus 1) and the rate constant of association (k1 equal to 0.37 times 10-6 M-minus 1) were measured under conditions designed to circumvent or correct for tubulin instability. The dissociation constant determined by the ratio k-1/k1 was 0.024 times -minus 6 M. To determine whether the discrepancy between the "equilibrium" and "kinetic" determined dissociation constants could be accounted for on the basis of tubulin instability, the binding reaction was computer-simulated using the measured association and dissociation rate constants and the rate constants for decay of bound and free tubulin. Computer simulation was in close agreement with the experimentally determined behavior of the reaction during a 13-hour incubation. It is concluded that the Kd determined by equilibrium methodology results in a considerable overestimation due to the instability of tubulin, and that the best estimate for the Kd of the colchicine-tubulin equilibrium is the value determined by the ratio of the rate constants. |
