TITLE transient and low threshold calcium current (T-current)
COMMENT
Unit check passed only with Units off
ENDCOMMENT
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
NEURON {
SUFFIX CaT
USEION Ca READ Cai, Cao WRITE iCa VALENCE 2
RANGE minf, mtau, hinf, htau, iCa, p
GLOBAL pmax
}
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
(mM) = (milli/liter)
FARADAY = 96489 (coul)
R = 8.314 (volt-coul/degC)
}
PARAMETER {
v (mV)
celsius (degC)
Cai (mM)
Cao (mM)
pmax = 4e-7 (cm/s)
}
STATE {
m h
}
ASSIGNED {
iCa (mA/cm2)
mtau (ms)
minf
hinf
htau (ms)
p (cm/s)
}
BREAKPOINT {
: SOLVE state :METHOD euler
SOLVE state METHOD euler
: SOLVE state METHOD cnexp
p = pmax*m*m*m*h
iCa = p*ghk(v,Cai,Cao,2)
: iCa = pmax * m*m*m*h*ghk(v,0.001,Cao,2)
}
DERIVATIVE state {
rates(v)
m'= (minf-m) / mtau
h'= (hinf-h) / htau
}
INITIAL {
rates(v)
m = minf
h = hinf
}
FUNCTION ghk( v(mV), ci(mM), co(mM), z) (millicoul/cm3) { LOCAL e, w
w = v * (.001) * z*FARADAY / (R*(celsius+273.16))
if (fabs(w)>1e-4)
{ e = w / (exp(w)-1) }
else : denominator is small -> Taylor series
{ e = 1-w/2 }
ghk = - (.001) * z*FARADAY * (co-ci*exp(w)) * e
}
FUNCTION_TABLE tabmtau(v(mV)) (ms)
FUNCTION_TABLE tabhtau(v(mV)) (ms)
UNITSOFF
PROCEDURE rates(v(mV)) {
mtau = tabmtau(v)
htau = tabhtau(v)
minf = 1 / (1+exp((v+51.73)/-6.53))
hinf = 1 / (1+exp((v+80)/6.7))
}
: UNITSON