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61

per compartment and at most F gating variables per current, then we arrive at the
following system of ordinary differential equations

v,(t) = Hv(t) — (Φ(w(i))e).v(i) + Φ(w(f))Ei + G(i).(v(t) - Es), v(i) ∈ Rjv (3.2)

w'(i) = (Λ(v(t)) - »(t))./B(v(≠)), v(i) ∈ Rjv×c×f                            (3.3)

where H is the TV-by-# Hines matrix, e = [1 1 ∙ ∙ ■ l]τ ∈ Rc,

Φ : Rλ,×c×f R7v ×cj G : R → R7v,

A : R vR7v×c×f and B : RjvR7v×c×∙f,

Ei is the vector of channel reversal potentials

ɛi = [Ecι ENa Eχ ∙ ∙ ∙ ]τ ∈ Rc,

Es is the vector of synaptic reversal potentials

Es = [Eex Eex Ein ∙ ]τ ∈ R7v,

and the ‘dot’ operator, a.b, denotes element-wise multiplication and a.∕b denotes
elementwise division. In this section, we use only excitatory synapses with
Eex = 0



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