A possible mechanism for the Na,K-ATPase

A model previously described for the Ca²⁺ pump of sarcoplasmic reticulum has been modified in a thought experiment so that it has the properties of a Na,K-adenosinetriphosphatase (ATPase). When the two Ca²⁺-specific sites are changed into three Na⁺-specific sites, and the channel which opens in the actively transporting conformation made univalent- instead of divalent-cation-selective, the model has the properties of the Na-ATPase which is observed on red cell membranes in the absence of both Na⁺ and K⁺ externally. As in the model for the Ca-ATPase the driving force for transport is generated by a change in solvent structure so that a preformed ionic equilibrium is displaced in favour of less-highly hydrated species; in this case highly hydrated Mg²⁺ ions displace the less highly hydrated Na⁺ ions from binding sites; and Na⁺ diffuses out through a simultaneously opened channel. With the addition of three external K⁺-selective sites per α-polypeptide chain, and the constraint that pump units with their external sites occupied by any univalent cation cannot be phosphorylated by ATP, the model turns out to have the properties of a Na,K-ATPase. It operates in the $\text{Na}{}^{\mathrm{+}}\text{K}{}^{\mathrm{+}}$ exchange, $\text{Na}{}^{\mathrm{+}}\text{Na}{}^{\mathrm{+}}$ exchange, $\text{K}{}^{\mathrm{+}}\text{K}{}^{\mathrm{+}}$ exchange, K⁺-dependent phosphatase, uncoupled Na⁺ efflux and pump reversal modes. It is concluded that if the modified water in the cleft of the phospho-enzymes has properties similar to those of water at 5°C the pump is competent to exchange three intracellular Na⁺ ions for two extracellular K⁺ ions, and one intracellular Na⁺ ion but it is incapable of exchanging three Na⁺ ions for three K⁺ ions.