Kinetic studies on the binding of Streptomyces subtilisin inhibitor with subtilisin BPN′

The binding mechanism of Streptomyces subtilisin inhibitor and subtilisin BPN′ was studied kinetically with the stopped-flow method by monitoring the protein fluorescence increase due to complex formation. In the lower concentration range of proteins, the reaction followed the second-order kinetics. The pH dependence of the apparent second-order rate constant, k_on, suggested the involvement of the two ionizable groups of pK_a of 7.8 and 10 in the binding. The activation parameters were calculated from the temperature dependence of the apparent second-order rate constants. The value of the apparent activation energy (E_A = 39.7 kJ · mol^?1, 9.50 kcal · mol^?1) and insensitivity of k_on to the viscosity of the medium suggest that the binding is not a simple diffusion-controlled bimolecular association. Further studies with a much broader range of protein concentrations have revealed that the reaction tends to approach first-order kinetics as the inhibitor concentration increases. The binding reaction is, therefore, reconcilable with a two-step mechanism, in which a fast bimolecular association is followed by a slow unimolecular isomerization step; the dissociation constant of the first step, K_L, is estimated to be 1.2 × 10^?4m and the rate constant of the second step, k₊₂, to be 770 s^?1. It was also found that the increase of tryptophan fluorescence due to the complex formation occurs solely in the rate-determining unimolecular process.