Cardiac Na+, K+-adenosine triphosphatase inhibition by ouabain and myocardial sodium: a computer simulation

The major evidence against the hypothesis that Na+, K+-adenosine triphosphatase (Na+, K+-ATPase) inhibition is the mechanism of the positive inotropic action of digitalis is that the myocardial sodium content does not increase at the time of the inotropic response. In order to understand the relationship between sodium pump inhibition and myocardial sodium content, a computer simulation of the intracellular sodium concentration ([Na+]i) during a cycle of myocardial function was performed. The model for the computer simulation is a small compartment adjacent to the inner surface of the sarcolemma. The change in [Na+]i in this compartment is determined by the rate of sodium influx (published data utilized) and the rate of active sodium transport was estimated from the activities of partially purified dog heart Na+, K+-ATPase preparations assayed with various concentrations of sodium and ouabain. The initial rapid sodium influx results in maximal sodium pump activation, but the pump activity decreases with time as the [Na+]i decreases. Thus, the sodium pump functions at a rate close to its maximal velocity during the initial phase of each cycle but at reduced rates during the later phase. Inhibition of Na+, K+-ATPase by ouabain decreases the maximal velocity during the intiial phase of each cycle but at reduced rates during the later phase. Inhibition of Na+, K+-ATPase by ouabain decreases the maximal velocity of the sodium pump but increases the time in each cycle at which the sodium pump operates at its highest possible rate under these conditions, i.e., a rate close to the inhibited maximal velocity. A 40% inhibition of Na+, K+-ATPase activity, caused by inotropic concentrations of ouabain, increases the peak [Na+]i but fails to cause intracellular sodium accumulation since [Na+]i approaches control levels before the beginning of the next cardiac cycle. With greater enzyme inhibition, caused by arrhythmic concentrations of ouabain, [Na+]i fails to return to the precycle level and thus each subsequent cycle causes a progressive accumulation of myocardial sodium. Computer simulation predicts that a positive inotropic concentration of ouabain causes a myocardial sodium accumulation at a high heart rate but not at a lower heart rate. This was confirmed by experiments with Langendorff preparations of guinea-pig hearts. It is concluded that a moderate sodium pump inhibition by inotropic concentrations of ouabain enhances the intracellular sodium transient (a transient increase in intracellular sodium concentration associated with each membrane excitation) but does not cause a significant myocardial sodium accumulation at normal heart rates. A progressive myocardial sodium accumulation occurs only when the degree of Na+, K+-ATPase inhibition exceeds a critical magnitude.