The axon hillock 250 mu m away from this synapse The membran

The axon hillock 250 mu m away from this synapse. The membrane space constant 400 threshold for firing action potentials is 20 mV depolarized relative to the resting membrane potential. Will the 40 mV EPSP trigger an action potential at the axon hillock? Show work supporting your answer.

Solution

YES

Vx = V₀e^–x/= 40 mV x e^-250m /400m= 40 x 0.535262 = 21.4 mV

HENCE IT WILL TRIGGER ACTION POTENTIAL AT THE AXON HILLOCK.