Table 3.

Non-uniform channel model and kinetics. I_Na and I_K use Hodgkin-Huxley type kinetics, while I_A uses Connor-Stevens type kinetics and a spatial distribution of conductance based on Hoffman’s work. For G(x), x is measured in μm from the soma. Note that the I_A channel kinetics do not have α and β functions explicitly defined (Connor and Stevens, 1971) (Hoffman et al., 1997)

Ionic Current	Gating Variables	G(x) (mS/cm2)	E(mV)
Leak		0.3	−47
INa	m3, h	60	55
IK	n4	20	−72
IA	a3, b	$\frac{47.7}{2.3}(0.2+0.002x)$	−75

Gating Var.	α	β	τ	ω∞
m	$\frac{0.38(v+29.7)}{1-exp(-(v+29.7)/10)}$	15.2exp(−0.0556(v+54.7))	$\frac{1}{\alpha +\beta }$	$\frac{\alpha }{\alpha +\beta }$
h	0.266exp(−0.05(v+48))	$\frac{3.8}{1+exp(-(v+18)/10)}$	$\frac{1}{\alpha +\beta }$	$\frac{\alpha }{\alpha +\beta }$
n	$\frac{0.02(v+45.7)}{1-exp(-(v+45.7)/10)}$	0.25exp(−0.0125(v + 55.7))	$\frac{1}{\alpha +\beta }$	$\frac{\alpha }{\alpha +\beta }$

Gating Var.	τ	ω∞
a	$0.3632+\frac{1.158}{1+exp(0.0497(v+55.96))}$	${\left(\frac{0.0761exp(0.0314(v+94.22))}{1+exp(0.0346(v+1.17))}\right)}^{1/3}$
b	$1.24+\frac{2.678}{1+exp(0.0624(v+50))}$	${\left(\frac{1}{1+exp(0.0688(v+53.3))}\right)}^4$