Relationships between Structural Dynamics and Functional Kinetics in Oligomeric Membrane Receptors

Recent efforts to broaden understanding of the molecular mechanisms of membrane receptors in signal transduction make use of rate-equilibrium free-energy relationships (REFERs), previously applied to chemical reactions, enzyme kinetics, and protein folding. For oligomeric membrane receptors, we distinguish between a), the Leffler parameter α_L, to characterize the global transition state for the interconversion between conformations; and b), the Fersht parameter, ϕ_F, to assign the degree of progression of individual residue positions at the transition state. For both α_L and ϕ_F, insights are achieved by using harmonic energy profiles to reflect the dynamic nature of proteins, as illustrated with single-channel results reported for normal and mutant nicotinic receptors. We also describe new applications of α_L based on published results. For large-conductance calcium-activated potassium channels, data are satisfactorily fit with an α_L value of 0.65, in accord with REFERs. In contrast, results reported for the flip conformational state of glycine and nicotinic receptors are in disaccord with REFERs, since they yield α_L values outside the usual limits of 0–1. Concerning published ϕ_F values underlying the conformational wave hypothesis for nicotinic receptors, we note that interpretations may be complicated by variations in the width of harmonic energy profiles.