TITLE sodium calcium exchange
: taken from Courtemanche et al Am J Physiol 1998 275:H301
NEURON {
SUFFIX nax
USEION ca READ cao, cai WRITE ica
USEION na READ nao, nai WRITE ina
RANGE ica, ina , itot
GLOBAL imax, kna, kca
}
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
F = (faraday) (coulombs)
R = (k-mole) (joule/degC)
}
PARAMETER {
imax = 3.2 (mA/cm2)
kna = 87.5 (mM)
kca = 1.38 (mM)
gamma = .35 : voltage dependence factor
}
ASSIGNED {
celsius (degC)
v (mV)
ica (mA/cm2)
ina (mA/cm2)
itot (mA/cm2)
cao (mM)
cai (mM)
nao (mM)
nai (mM)
}
BREAKPOINT {
LOCAL rate
rate = pumprate(v,nai,nao,cai,cao)
ina = 3*rate
ica = -2*rate
itot=ina+ica
}
FUNCTION pumprate(v,nai,nao,cai,cao) {
LOCAL q10, Kqa, KB, k
k = R*(celsius + 273.14)/(F*1e-3)
q10 = 3^((celsius - 37)/10 (degC))
Kqa = exp(gamma*v/k)
KB = exp( (gamma - 1)*v/k)
pumprate = q10*imax*(Kqa*nai*nai*nai*cao-KB*nao*nao*nao*cai)/((kna*kna*kna + nao*nao*nao)*(kca + cao)*(1 + 0.1*KB))
}