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interpolation points, as given in Algorithm 2 (Chaturantabut and Sorensen, 2009).

We define the reduced gating variables by

w = Pw,

(3.13)

substitute into the nonlinear term, and apply the matrices computed from the DEIM

to obtain

N(Uv,w) ≈ W(P^τW)'¹P^τN(Uv,Pw).

(3.14)

Substituting (3.13)-(3.14) into (3.12) and (3.3), and applying (3.10), we obtain

V =Hv- (RΦ(w)e).(Zv) — RΦ(w)E_i + U^τG.(Uv — E_s)          (3.15)

w' = (A(v) - w).∕B(v),                                        (3.16)

where the reduced functions are

À(v) ≡ P^tA(Uv) , B(v) ≡ P^τB(Uv), and Φ(w) ≡ P^τΦ(Pw)

(3∙17)