29
then the discretized system has N = n(m + 1) variables. Restricting our attention
to the bth branch, we compartmentalize the voltage by v-tb ∈ R7b, and similarly the
gating variables, to obtain
∂tZb = QbZfc + Bbufc
where
Zb =
υ-.,b
W-.,bll
∖W.,bCFc /
^diag(JCb)
≠.∙,*n
Φ-.,bl2
d-.,bn
≠.∙,bll
d-.j>i2
≠=,M2
d.fiCFc^
g J^7⅛(m+l)×7b(m+l)
∖ Φ∙.,bCFc
Ψ-.,bCFc /

I E Wb^b, ∪b ∈ IR76.
For example, if branch b receives synaptic input at τbl and Xb2, then we have,
( 0
- 1
2τΓ G>bhbCrn
0
gbi(t)(yb(xbi) - Еы)
0
0
gb2(t)(υb{xb2) - Eb2)
∖ 0 /
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