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26

Expanding wcjθθ and τcf in (2.31) in a Taylor series about vb yields the linearized
equations for the gating variables

a = ⅛(⅞)⅞-w

τcf(vb)

In (2.30), if the product of gating variables is written as

Fc /                   4cf

Fbc(ε) = ɪɪ Iwbcf + εwbcf(t) j
∕=1 ×               ×

then differentiating with respect to ε yields

⅛(≈) = ∑
p=l


ι⅞ /               ∖9cf

Qcp(vJbcp d^ ε{∂bcp'j^ p ɪɪ f wbcf + εwbcf(t) j wbcp .

■                         ∕=1,∕≠P ×                 ×        .

The order 0 and order ε terms of Fbc are

Fe

Fbc(O) = ∏⅛'
/=1


Fe /              Fc

and Fb'c(0) = I ¾>fcΓ' ∏ wlccffwbcp
p=ι ∖          ∕=i,∕≠p         .

respectively. Hence the linearized ionic currents take the form

C          Z

ʃɪonie(^'j Vb↑ Wb) 52Gbc(x)(Fbc(O)⅛ + F'c(O)(Tb
c=l         ×



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