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 v → R7v×c×f and B : Rjv → R7v×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