The name is absent



The solution of this differential equation is:

- -t/

(68)              V(t) = Vo e τ

or the voltage V drops e~2,72 times for time τ from the end of applied rectangular
impulse V
0.

In space and time the dynamics of a single EPSP could be described by the
following generalized equation:

- x/ -1/

(69)             V( x,t) = Voe λe τ

Here should be mentioned that the space constant λ depends on the diameter of
the dendrite, so we must decompose the dendritic tree into smaller segments
with approximately the same
λ in order to be more precise in our calculations.
But if we need rough approximation we could consider that the dendrite has
constant diameter of 1
μm and we can use the calculated value for the space
constant
λ~353μm.

Fig. 9 Cable net approximation of the dendritic tree. Modified from Sajda (2002)

38



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