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94

5.4.5 Network input impedance

2D input impedance

The input impedance measured from a point in the two-dimensional network Rιn2D is given
by the steady-state voltage response of a cell divided by the value of the current step injected
into it. Solving the discretized equation 5.14 numerically for the voltage response of a unit
point source of current injected into that cell gives the input resistance wo,o = Rin2D∙

The analytical form is [69] :

2 ( 7 ʌ Γ 4

(5.15)


Rin2D ~ ¾0 ^^ Rm I 7 I ɪɔ I T
π ∖y + 4/ I Lt + 4

where D is the elliptic integral of the first kind [69]. For this work, the numerical solution
for υss was used to calculate the input impedance.

ID input impedance

The one-dimensional input impedance is given by:

RiniD =V0 = ——§                      (5.16)

It is important to note that the one-dimensional input impedance RmiD is different from
the two-dimensional input impedance Rin2D∙ The one-dimensional impedance is not as
useful for a two-dimensional network because it would be very hard to measure experimen-
tally. It would be the input impedance to a current injection into a column of photoreceptors

§We derive this relationship in appendix A.5                             ,



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