[Applicability of molecular electrostatic interaction models to describing ionic strength dependence of reaction rate...

The nonlinear regression method was used for the evaluation of applicability of the known model equations (Wherland-Gray, Brönsted-Debay-Hukkel and "parallel disks") which describe the ionic strength dependence of the reaction rate between charged molecules to the redox reaction of cytochrome c with sperm whale myoglobin modified at His 12(A10) with the bromoacetate spin label, and pig myoglobin. Unlike the native sperm whale Mb studied earlier [1], the objects chosen have monotonous pH-dependence of the reaction rate and are more simple with regards to electrostatic interactions in the electron-transfer complex. This allowed to study the influence of the total as well as the local protein charge on the correspondence of the ion strength dependencies to the theoretical models and optimal parameters of the equations. It was shown that the models considered, as in the case of the native sperm whale Mb-Cyt c reaction, permit satisfactory description of the experimental data, but the obtained parameters cannot be applied to the whole proteins or their contact sites. In the best case (Wherland-Gray equation) it is possible to do if the distribution of electrostatic potential in the contact area is considered. The reason can be that, unlike other protein redox-systems, the contact sites of both Mb and Cyt c have the charged residues of both signs, and the His GH1 residue located in the contact Mb site is not only involved in the electrostatic interactions in electron-transfer complex, but also participates directly in the mechanism of charge transfer.