: Fast Na+ channel
: from Durstewitz & Gabriel (2006), Cerebral Cortex
NEURON {
SUFFIX Naf
USEION na WRITE ina
RANGE gNafbar, gna, ena
}
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
}
PARAMETER {
gNafbar= 0.086 (mho/cm2) <0,1e9>
ena = 55 (mV)
}
ASSIGNED {
v (mV)
ina (mA/cm2)
gna (mho/cm2)
}
STATE {
m
h
}
INITIAL {
m = malf(v)/(malf(v)+mbet(v))
h = half(v)/(half(v)+hbet(v))
}
BREAKPOINT {
SOLVE states METHOD derivimplicit
gna = gNafbar*m*m*m*h
ina = gna*(v-ena)
}
DERIVATIVE states {
m' = (1-m)*malf(v)-m*mbet(v)
h' = (1-h)*half(v)-h*hbet(v)
}
UNITSOFF
FUNCTION malf(v(mV)) (/ms) {
LOCAL va
va=v+28
if (fabs(va)<1e-04){
malf = -0.2816*(-9.3-va*0.5)
}
else {
malf = -0.2816*va/(-1+exp(-va/9.3))
}
}
FUNCTION mbet(v(mV)) (/ms) {
LOCAL vb
vb=v+1
if (fabs(vb)<1e-04) {
mbet = 0.2464*(6-vb*0.5)
}
else {
mbet = 0.2464*vb/(-1+exp(vb/6))
}
}
FUNCTION half(v(mV)) (/ms) {
half=0.098*exp(-(v+43.1)/20)
}
FUNCTION hbet(v(mV)) (/ms) {
hbet=1.4/(1+exp(-(v+13.1)/10))
}
UNITSON