Electrogenic Properties of the Sodium Pump in a Dynamic Model of Membrane Transport

The general purpose of this theoretical work is to contribute to understand the physiological role of the electrogenic properties of the sodium pump, by studying a dynamic model that integrates diverse processes of ionic and water transport across the plasma membrane. For this purpose, we employ a mathematical model that describes the rate of change of the intracellular concentrations of Na⁺, K⁺ and Cl⁻, of the cell volume, and of the plasma membrane potential (V _m ). We consider the case of a nonexcitable, nonpolarized cell expressing the sodium pump; Na⁺, K⁺, Cl⁻ and water channels, and cotransporters of KCl and NaCl in its plasma membrane. We particularly analyze here the conditions under which the physiological V _m can be generated in a predominantly electrogenic fashion, as a result of the activity of the sodium pump. A major conclusion of this study is that, for the cell model considered, a low potassium permeability is not a sufficient condition for a predominantly electrogenic generation of the V _m by the sodium pump. The presence of an electroneutral exchange of Na⁺ and K⁺ represents a necessary additional requirement. Received: 8 September 1999/Revised: 21 March 2000