NEURON {
SUFFIX GluTrans8st
RANGE part, C1, C2, C3, C4, C5, C6, C7, C8
GLOBAL k12, k21, k23, k32, k34, k43, k45, k54, k56, k65, k67, k76, k78, k87, k18, k81
GLOBAL Nain, Naout, Kin, Kout, Gluin, charge
RANGE itrans, Gluout, density
NONSPECIFIC_CURRENT itrans
}
UNITS {
(l) = (liter)
(nA) = (nanoamp)
(mV) = (millivolt)
(mA) = (milliamp)
(pS) = (picosiemens)
(umho) = (micromho)
(mM) = (milli/liter)
(uM) = (micro/liter)
F = (faraday) (coulombs)
PI = (pi) (1)
}
PARAMETER {
: Rates
k12 = 20 (/ms)
k21 = 1 (l /mM /ms)
k23 = 1.0e-2 (l /mM /ms)
k32 = 0.1 (/ms)
k34 = 6 (l /mM /ms)
k43 = 0.5 (/ms)
k45 = 2 (/ms)
k54 = 1.9 (/ms)
k56 = 1 (/ms)
k65 = 0.04 (l /mM /ms)
k67 =100 (/ms)
k76 = 100 (l /mM /ms)
k78 = 1 (l /mM /ms)
k87 = 1 (/ms)
k81 = 1.6 (/ms)
k18 = 2e-4 (/ms)
Nain = 8 (mM/l)
Naout = 146.2 (mM/l)
Kin = 155 (mM/l)
Kout = 2 (mM/l)
Gluin = 20 (mM/l)
Gluout = 0.0 (mM/l)
density =5e11 : (/cm2) : 5000 per um2
charge = 1.6e-19 (coulombs)
}
COMMENT
ENDCOMMENT
ASSIGNED {
v (mV) : voltage
itrans (mA/cm2) :
surf (cm2)
volin (liter)
volout (liter)
}
STATE {
: Transporter states (all fractions)
:
C1 (/cm2) :
C2 (/cm2) :
C3 (/cm2) :
C4 (/cm2) :
C5 (/cm2) :
C6 (/cm2)
C7 (/cm2) :
C8 (/cm2)
}
INITIAL {
Gluout = 0
C1 = 0.0090
C2 = 0.56056
C3 = 0.3111
C4 = 0.1046
C5 = 0.0021
C6 = 0.0124
C7 = 0
C8 = 0
volin = 1
volout = 1
surf = 1
}
BREAKPOINT {
SOLVE kstates METHOD sparse
itrans=-charge*density*(1e+006)*(0.46*(C2*k23*u(v,0.46)*Naout-C3*k32) +0.55*(C3*k34*u(v,0.55)*Gluout-C4*k43)+0.4*(C5*k56-C6*k65*Gluin*u(v,0.4)) + 0.59*(C8*u(v,0.59)*k81 - C1*k18))
}
KINETIC kstates {
COMPARTMENT volin { Nain Kin Gluin}
COMPARTMENT volout { Naout Kout Gluout}
: COMPARTMENT surf { C1 C2 C3 C4 C5 C6 C7 C8}
~ C1 <-> C2 + Kout (k12*surf, k21*surf)
~ C2 + Naout <-> C3 (k23*u(v,0.46)*surf,k32*surf)
~ C3 + Gluout <-> C4 (k34*u(v,0.55)*surf,k43*surf)
~ C4 <-> C5 (k45*surf,k54*surf)
~ C5 <-> C6 + Gluin (k56*surf,k65*u(v,0.4)*surf)
~ C6 <-> C7 + Nain (k67*surf,k76*surf)
~ C7 <-> C8 +Kin (k78*surf,k87*surf)
~ C8 <-> C1 (k81*u(v,0.59)*surf, k18*surf)
CONSERVE C1+C2+C3+C4+C5+C6+C7+C8= 1
: CONSERVE C1+C2= 1
}
FUNCTION u(x(mV), th) {
u = exp(th*x/(2*26.7))
}