[The solving and simulation of cable equation under the stimulation of point electrical source]

The character of the membrane of fiber can be simulated by nonpower RC network on condition that the offset of distance between the transmembrane potential of unmyelinated nerve fiber and the resting potential of nerve fiber cell is small enough. Thus, it is possible to found the successive cable equation with external stimulation under subthreshold linear state. So far, most scholars use time-domain analysis method. In this paper are reported the method of integral transform and the analytical expression of cable equation under the stimulation of point electrical source firstly. And at the same time, computer-aided simulation of transmembrane potential of nerve fiber and analysis of the possibility of activating action potential are presented.