15
Figure 2.3: Circuit diagram of the Hodgkin-Huxley cell. The voltage v is defined as v ≡ v,n — Vout-
resistors (Na+ and A+). Applying Kirchhoff’s Current Law again yields the following
system of ODEs describing the Hodgkin-HuxIey (HH) model:
Cmv' = -gL{y - El) - gNarn3h(v - ENa) - gκ∏i(υ - Eκ) + 7stim∕A
(2.3)
(2.4)
(2.5)
(2.6)
, rnoo(v) - m
m =---r~∖—
τm(v)
_ ⅛oo(v) - h
ι^h(υ)
l noo(y) - n
n =---rʒ—∙
τn(y)
2.2 The Quasi-Active Isopotential Cell
It is well-known that, while linear models do not reproduce spiking dynamics,
they do provide information about the frequency response of a system. For neuronal
modeling, the linearized systems are good at reproducing the nonlinear system’s sub-