The name is absent

ε is small, then the perturbed voltage and gating variables are assumed to be

v_b = v_b + εv_b + C^,(ε²)

(2.28)

w_bcf = w_bcf + εw_bcf + O(ε²).

(2.29)

Note here that the rest values v_b and w_bcf are now spatially-varying. Substituting
(2.28) into (2.17), we construct a linearized model by solving for the perturbation
terms v_b, w_bcf of order ε. After substitution we find

Qcf

c=l

∕=ι

I ^5b _ _

- (^gbs + εg_bs{t)')δ(x - x_bs)(y_b + εv_b - E_bs)

(2.30)

ε¾w_6c∕(t) =

w_cf,∞(υ_b + ε⅞) - (wbcf + εw_bcf)

τ_cf (υ_b + εv_b)

(2.31)

The initial conditions are now

v_f,(τ,0) = w_6c∕(τ,0) = 0

while boundary conditions, because they are already linear, remain the same as in
(2.19), (2.20), (2.24). The soma conditions contain nonlinear terms, but they may be
linearized in the same manner as shown here.

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