26
Expanding wc∫jθθ 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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