: Nas is the slower, TTX-insensitive current in Schild 1994
NEURON {
SUFFIX anas
USEION na READ ena WRITE ina
RANGE gbar, ena, ina
}
UNITS {
(S) = (siemens)
(mV) = (millivolts)
(mA) = (milliamp)
}
PARAMETER {
gbar =0.000901878 (S/cm2): (S/cm2)
Q10nasm=2.30
Q10nash=1.50
V0p5m=-20.35 (mV):As defined by Schild 1994, zinf=1.0/(1.0+exp((V0p5z-V)/S0p5z)
S0p5m=4.45 (mV)
V0p5h=-18.00 (mV)
S0p5h=-4.50 (mV)
A_taum=1.50 (ms) :As defined by Schild 1994, tauz=A_tauz*exp(-B^2(V-Vpz)^2)+C
B_taum=0.0595 (/mV)
C_taum=0.15 (ms)
Vpm=-20.35 (mV)
A_tauh=4.95 (ms)
B_tauh=0.0335 (/mV)
C_tauh=0.75 (ms)
Vph=-20.00 (mV)
}
COMMENT
The above Q10 constants were given in Schild 1994 with no indication of how they
were implemented. It was decided, based on the value of the Q10 constants given,
that the most likely answer was that the tau of each gating variable was divided by
the Q10. This is reflected below where tau_x=tau_x*(1/Q10x). Note that Schild only
provides a single constant, not any type of equation for q10. The equations are orginally
given for 22C, and this constant changes the equation to 37C.
ENDCOMMENT
ASSIGNED {
v (mV) : NEURON provides this
ina (mA/cm2)
celsius (degC)
g (S/cm2)
tau_h (ms)
tau_m (ms)
minf
hinf
ena (mV)
}
STATE { m h }
BREAKPOINT {
SOLVE states METHOD cnexp
g = gbar * m^3 * h
ina = g * (v-ena)
}
INITIAL {
rates(v) : set tau_m, tau_h, hinf, minf
: assume that equilibrium has been reached
m = minf
h = hinf
}
DERIVATIVE states {
rates(v)
m' = (minf - m)/tau_m
h' = (hinf - h)/tau_h
}
FUNCTION rates(Vm (mV)) (/ms) {
tau_m = A_taum*exp(-(B_taum)^2*(Vm-Vpm)^2)+C_taum
minf = 1.0/(1.0+exp((Vm-V0p5m)/(-S0p5m)))
tau_h = A_tauh*exp(-(B_tauh)^2*(Vm-Vph)^2)+C_tauh
hinf = 1.0/(1.0+exp((Vm-V0p5h)/(-S0p5h)))
if (celsius >= 37) {
tau_m=tau_m*(1/Q10nasm)
tau_h=tau_h*(1/Q10nash)
}
}