Membrane voltage as a function of space and time in a passive axon.
This is an axon with all the voltage dependent
conductances blocked. The stimulus is a current step I injected at x=0, starting at time
t=0. The time constant (tau) represents the time it takes to charge
the membrane patch to (1-1/e)=0.63 of its final value.It is given by: Where Rm is the membrane resistance
(in Kohm cm^2) and Cm is the membrane capacitance in uF/cm^2. The
space constant (lambda) represents the distance at which the voltage
decays to 1/e=0.37 of it maximum value in the steady state.It is given
by Where a is the radius of the axon
(in cm) and Ri is the internal resistivity of the axoplasm (in Kohm cm).
start initiates the I step.
The Voltage can be plotted as a
function of distance as times evolves (V vs X) or as a function of
time at five different places (V vs T),