The name is absent

In a given point of time the distribution of the voltage along the dendrite is

∂V

obtained by the cable equation with V ≠ f (t) and = 0:

∂t

_∂2V

(64)               -λ² ∂VV + V = 0

∂x²

The solution of this differential equation is:

-x/       +x/

(65)               Vχ) = V,e ^λ + Vie ^λ

The second part of the equation V₁ e ^λ could be missed (Stoilov, 1985) because
it leads to unphysical results when x →∞. Thus we could just write:

x/

(66)              ^V(x) = ^V0^{e λ}

where for V₀ we will substitute the value of a single evoked EPSP. Here we won’t
take into account the contribution of another EPSPs that could summate with the
EPSP of interest.

If we investigate the change of V in a single point from the dendrite (x=0) we will
see that the impulse decrements with time and the cable equation is reduced to:

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