On the effect of unstirred layers on K+-activated electrogenic Na+ pumping in cardiac Purkinje strands.

Many studies of electrogenic Na+ pumping in Purkinje strands have involved intracellular Na+ loading by exposure to 0 mM K+, followed by reexposure to K+. For sheep Purkinje strands the K+ concentration for half-maximal stimulation (K0.5) in such studies is higher than K0.5 of canine Purkinje strands. A model was developed to determine if gradients in the K+ concentration of extracellular fluid layers during enhanced pump activity can account for the discrepancy. Pump activity was assumed linearly dependent on [Na+]i and dependent on [K+]o, according to Michaelis-Menten kinetics. The model simulated diffusion of K+ across unstirred layers and both depletion and accumulation of K+ in extracellular clefts of Purkinje strands during changes in the K+ concentration of the tissue bath. Errors in estimates of K0.5 occurred when delay in achieving a steady state extracellular K+ concentration was simulated. The simulations suggested that a linear relationship between pump current and intracellular Na+, a monoexponential decay of pump current, independence of the rate constants for the current decay on the initial Na+ load and holding potential, and apparent Michaelis-Menten K+ kinetics is not sufficient evidence against pump-induced interstitial K+ depletion having introduced errors in determination of K0.5. It is concluded that interstitial K+ depletion may account for the difference between determinations of K0.5 in sheep and canine Purkinje strands.