TITLE Persistent sodium current
: Implemented in Rubin and Cleland (2006) J Neurophysiology
: Adapted from Fransen et al (2004) Hippocampus
INDEPENDENT { t FROM 0 TO 1 WITH 1 (ms) }
UNITS {
(mV) = (millivolt)
(mA) = (milliamp)
}
NEURON {
SUFFIX NaP
USEION na READ ena WRITE ina
RANGE gbar, ina
}
PARAMETER {
gbar = 0.0 (mho/cm2)
v ena (mV)
}
ASSIGNED {
ina (mA/cm2)
minf (1)
mtau (ms)
hinf
htau (ms)
}
STATE {
m h
}
BREAKPOINT {
SOLVE states METHOD cnexp
ina = gbar * m * h * ( v - ena )
}
INITIAL {
settables(v)
m = minf
h = hinf
}
DERIVATIVE states {
settables(v)
m' = ( minf - m ) / mtau
h' = ( hinf - h ) / htau
}
UNITSOFF
PROCEDURE settables(v) {
TABLE minf, mtau, hinf, htau FROM -120 TO 40 WITH 641
minf = 1 / ( 1 + exp( -(v + 48.7) / 4.4 ) )
if( v == -38.0 ) {
mtau = .0013071895424837 :limit as v --> -38, a discontinuity in the mtau function
}else{
mtau = 1 / ((.091 * 1000 * (v + 38))/(1 - exp(-(v + 38)/5)) + (-.062 * 1000 * (v + 38))/(1 - exp((v + 38)/5)))
}
hinf = 1 / ( 1 + exp((v + 48.8) / 9.98 ))
htau = 1 / ((-2.88*.001*(v + 17.049))/(1 - exp((v - 49.1)/4.63)) + (6.94*.001*(v + 64.409))/(1 - exp(-(v + 447)/2.63)))
}
UNITSON