Analysis of conformationally-linked dissociation of proteins

Conformationally-linked dissociation equilibria of dimeric proteins have been examined to determine how experimentally obtainable parameters, such as the apparent dissociation constant, k_D, and the apparent conformational transition constant, K_conf, are related to intrinsic subunit interaction constants, K_A or K_B, and intrinsic isomerization constants, K₁ or k₂. Limiting models are considered in which either the conformational change occurs before dissociation or in which the dissociation occurs before the conformational change, as well as a general model including both possibilities. Models are also considered in which three conformations are allowed or in which four subunits (tetramers) are involved. Simulated data for the dimer equilibria are presented to show how variation of protein concentration and variation of certain constants affect the proportion of various molecular species, the weight-average molecular weight, and the overall extent of conformational change. Methods are suggested to distinguish between the different limiting cases based upon the dependence of K_D and/or K_conf on protein concentration, perturbant concentration, and temperature. It is concluded that methods used to calculate self-dissociation constants oligomeric proteins include linked isomerization reactions such that the equilibrium constant obtained should not be considered as a true subunit interaction term. Indeed, dissociation can occur under the influence of a perturbant with no change in the intrinsic affinity of the subunits but with the sole effect of the perturbant being on a linked conformational change. Additional experiments on the thermodynamics of the conformational change are required to determine the actual relationship. Depending on the complexity of the equilibria involved and the relative value of the equilibrium constants, the extent of the conformational change can vary directly with, vary inversely with, or he independent of the total protein concentration. Even when intrinsic subunit affinities are not affected by the perturbant, the extent of conformational change can vary with protein concentration. Interpretation of data from proteins which may be involved in conformationally-linked dissociation reactions, therefore, must be made with caution.