Excitation and deexcitation are fundamental phenomena in the electroph
ysiology of excitable cells. Both of them can be induced by stimulatin
g a cell with intracellularly injected currents. With extracellular st
imulation, deexcitation was never observed; only cell excitation was f
ound. Why? A generic model with two variables (FitzHugh) predicts that
an extracellular stimulus can both excite the cell and terminate the
action potential (AP). Our experiments with single mouse myocytes have
shown that short (2-5 ms) extracellular pulses never terminated the A
P. This result agrees with our numerical experiments with the Beeler-R
euter model. To analyze the problem, we exploit the separation of time
scales to derive simplified models with fewer equations. Our analysis
has shown that the very specific form of the current-voltage (I-V) ch
aracteristics of the time-independent potassium current (almost no dep
endence on voltage for positive membrane potentials) is responsible he
re. When the shape of the I-V characteristics of potassium currents wa
s modified to resemble that in ischemic tissues, or when the external
potassium concentration (K-0) is increased, the AP was terminated by e
xtracellular pulses. These results may be important for understanding
the mechanisms of defibrillation.