Reported values of the dissociation constant, K d , of ATP with the E1 conformation of the Na + ,K + -ATPase fall in two distinct ranges depending on how it is measured. Equilibrium binding studies yield values of 0.1-0.6 µM, whereas presteady-state kinetic studies yield values of 3-14 µM. It is unacceptable that K d varies with the experimental method of its determination. Using simulations of the expected equilibrium behavior for different binding models based on thermodynamic data obtained from isothermal titration calorimetry we show that this apparent discrepancy can be explained in part by the presence in presteady-state kinetic studies of excess Mg 2+ ions, which compete with the enzyme for the available ATP. Another important contributing factor is an inaccurate assumption in the majority of presteady-state kinetic studies of a rapid relaxation of the ATP binding reaction on the time scale of the subsequent phosphorylation. However, these two factors alone are insufficient to explain the previously observed presteady-state kinetic behavior. In addition one must assume that there are two E1-ATP binding equilibria. Because crystal structures of P-type ATPases indicate only a single bound ATP per R-subunit, the only explanation consistent with both crystal structural and kinetic data is that the enzyme exists as an (R ) 2 diprotomer, with protein-protein interactions between adjacent R-subunits producing two ATP affinities. We propose that in equilibrium measurements the measured K d is due to binding of ATP to one R-subunit, whereas in presteadystate kinetic studies, the measured apparent K d is due to the binding of ATP to both R-subunits within the diprotomer.Throughout the animal kingdom, the Na + ,K + -ATPase is responsible for pumping Na + and K + ions across the plasma membrane and thus maintaining electrochemical potential gradients for both ions across the membrane. A major function of the Na + electrochemical potential gradient is to act as a driving force for the uptake of essential metabolites such as glucose and amino acids. Probably the most enduring controversy in the Na + ,K + -ATPase 1 field is whether the enzyme functions as a monomer, dimer, or higher oligomer (1, 2). The idea that the functional unit of the Na + ,K + -ATPase might consist of an association of two protein monomers was first proposed in the 1970s (3,4). Since then, the idea has had many supporters (5-16) but also some vocal critics (17)(18)(19)(20)(21)(22) so that the hypothesis of a functional Na + ,K + -ATPase dimer or higher oligomer has never been universally accepted.One of the puzzling observations in the Na + ,K + -ATPase field is that the affinity of the E1 conformation appears to differ depending on whether it is measured by an equilibrium method or a presteady-state kinetic method. From ATP binding studies, a single ATP binding equilibrium with a K d in the range 0.12-0.63 µM has been detected (23-27). In contrast, from presteady-state kinetic studies based on enzyme phosphorylation, much higher dissoci...