Sivozhelezov V S, Komarov Iu E, Postnikova G B
Biofizika. 1996 Nov-Dec;41(6):1180-92.
The nonlinear regression method was used for the evaluation of applicability of the known model equations that describe the ionic strength dependence of the rate of reaction between charged molecules to the electron transfer reaction between myoglobin and cytochrome c. The full and simplified equations of Bronsted-Debay-Hukkel and Wherland-Gray equation, as well as equations, derived from models of complementary interactions and "parallel disks" were used. The experimental dependences of reaction rate on ionic strength at all pH values in the pH interval 5-8 have a negative slope which corresponds to opposite charges of reacting particles and does not correspond (even in sign) to the total charges of Mb and Cyt c. It is found that all models considered, except for those of complementary interactions, permit a satisfactory description of the experimental data. In the case of "parallel disks" and Bronsted-Debay-Hukkel equations, however, the optimal values of Z1Z2 and R1 = R2 = R do not correspond to the real size of the Mb-Cyt c electron transfer complex and to the radii and charges at their contact sites found from the experiment. The Wherland-Gray equation allows the best approximation of the experimental ionic strength dependences assuming that Z1Z2 and R1 = R2 = R are some effective parameters that reflect the protein field distribution in the contact site. This distribution can be approximated as a monopole with parameters not coinciding with the parameters of the protein.
采用非线性回归方法,评估已知的描述带电分子间反应速率与离子强度关系的模型方程对肌红蛋白和细胞色素c之间电子转移反应的适用性。使用了布朗斯特 - 德拜 - 休克尔方程的完整和简化形式、韦兰德 - 格雷方程,以及从互补相互作用模型和“平行盘”模型推导的方程。在pH值区间5 - 8内所有pH值下,反应速率对离子强度的实验依赖性具有负斜率,这对应于反应粒子的相反电荷,且(甚至在符号上)与肌红蛋白(Mb)和细胞色素c(Cyt c)的总电荷不对应。结果发现,除互补相互作用模型外,所有考虑的模型都能对实验数据进行令人满意的描述。然而,在“平行盘”模型和布朗斯特 - 德拜 - 休克尔方程的情况下,Z1Z2的最佳值以及R1 = R2 = R并不对应于Mb - Cyt c电子转移复合物的实际大小,也不对应于从实验中发现的它们接触位点的半径和电荷。韦兰德 - 格雷方程能最好地拟合实验离子强度依赖性,假设Z1Z2和R1 = R2 = R是一些反映接触位点蛋白质场分布的有效参数。这种分布可以近似为一个单极子,其参数与蛋白质的参数不一致。