Characterization of the cardiac Na/K pump by development of a comprehensive and mechanistic model

A large amount of experimental data on the characteristics of the cardiac Na⁺/K⁺ pump have been accumulated, but it remains difficult to predict the quantitative contribution of the pump in an intact cell because most measurements have been made under non-physiological conditions. To extrapolate the experimental findings to intact cells, we have developed a comprehensive Na⁺/K⁺ pump model based on the thermodynamic framework (Smith and Crampin, 2004) of the Post-Albers reaction cycle combined with access channel mechanisms. The new model explains a variety of experimental results for the Na⁺/K⁺ pump current (I_NaK), including the dependency on the concentrations of Na⁺ and K⁺, the membrane potential and the free energy of ATP hydrolysis. The model demonstrates that both the apparent affinity and the slope of the substrate-I_NaK relationship measured experimentally are affected by the composition of ions in the extra- and intracellular solutions, indirectly through alteration in the probability distribution of individual enzyme intermediates. By considering the voltage dependence in the Na⁺- and K⁺-binding steps, the experimental voltage-I_NaK relationship could be reconstructed with application of experimental ionic compositions in the model, and the view of voltage-dependent K⁺ binding was supported. Re-evaluation of charge movements accompanying Na⁺ and K⁺ translocations gave a reasonable number for the site density of the Na⁺/K⁺ pump on the membrane. The new model is relevant for simulation of cellular functions under various interventions, such as depression of energy metabolism.