Nerve Cells Can Conduct Many Action Potentials in the Absence of ATP

The depolarization of the membrane during an action potential results from movement of just a small number of Na+ ions into a neuron and does not significantly affect the intracellular Na+ concentration. A typical nerve cell has about 10 voltage-gated Na+ channels per square micrometer (µm2) of plasma membrane. Since each channel passes about 5000–10,000 ions during the millisecond it is open (see Figure 11-23), a maximum of 105 ions per µm2 of plasma membrane will move inward during each action potential.

To assess the effect of this ion flux on the cytosolic Na+ concentration of 10 mM (0.01 mol/L) typical of a resting axon, we focus on a segment of axon 10 micrometers (µm) long and 1 µm in diameter. The volume of this segment is 78 µm3, or 7.8 x 10−13 liters, and it contains 4.7 x 109 Na+ ions: (10−2 mol/L) (7.8 x 10−13 L) (6 x 1023 Na+/mol). The surface area of this segment of the axon is 31 µm2, and during passage of one action potential, 105 Na+ ions will enter per µm2 of membrane. Thus this Na+ influx increases the number of Na+ ions in this segment by only one part in about 1500: (4.7 x 109) / (3.1 x 106). Likewise, the repolarization of the membrane due to the efflux of K+ ions through voltage-gated K+ channels does not significantly change the intracellular K+ concentration.