TITLE Cardiac IKur current & nonspec cation current with identical kinetics
: Hodgkin - Huxley type channels, modified to fit IKur data from Feng et al Am J Physiol 1998 275:H1717 - H 1725
: Suffix from Kv15 to Kv1_5
NEURON {
SUFFIX Kv1_5
USEION k READ ek,ki,ko WRITE ik
USEION na READ nai,nao
USEION no WRITE ino VALENCE 1: nonspecific cation current
RANGE gKur, ik, ino, Tauact, Tauinactf,Tauinacts, gnonspec, nao, nai, ko,ki
RANGE minf, ninf, uinf, mtau , ntau, utau
}
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
(mM) = (milli/liter)
F = (faraday) (coulombs)
R = (k-mole) (joule/degC)
}
PARAMETER {
gKur=0.13195e-3 (S/cm2) <0,1e9>
Tauact=1 (ms)
Tauinactf=1 (ms)
Tauinacts=1 (ms)
gnonspec=0 (S/cm2) <0,1e9>
}
STATE {
m n u
}
ASSIGNED {
v (mV)
celsius (degC) : 37
ik (mA/cm2)
minf ninf uinf
mtau (ms)
ntau (ms)
utau (ms)
ek (mV)
ino (mA/cm2)
ki (mM)
ko (mM)
nai (mM)
nao (mM)
}
INITIAL {
rates(v)
m = minf
n = ninf
u = uinf
}
BREAKPOINT { LOCAL z
z = (R*(celsius+273.15))/F
SOLVE states METHOD derivimplicit
ik = gKur*(0.1 + 1/(1 + exp(-(v - 15)/13)))*m*m*m*n*u*(v - ek)
ino=gnonspec*(0.1 + 1/(1 + exp(-(v - 15)/13)))*m*m*m*n*u*(v - z*log((nao+ko)/(nai+ki)))
}
DERIVATIVE states { : exact when v held constant
rates(v)
m' = (minf - m)/mtau
n' = (ninf - n)/ntau
u' = (uinf - u)/utau
}
UNITSOFF
FUNCTION alp(v(mV),i) { LOCAL q10 : order m n
v = v
q10 = 2.2^((celsius - 37)/10)
if (i==0) {
alp = q10*0.65/(exp(-(v + 10)/8.5) + exp(-(v - 30)/59))
} else if (i==1) {
alp = 0.001*q10/(2.4 +10.9* exp(-(v + 90)/78))
}
}
FUNCTION bet(v(mV),i) (/ms) { LOCAL q10 : order m n u
v = v
q10 = 2.2^((celsius - 37)/10)
if (i==0){
bet = q10*0.65/(2.5 + exp((v + 82)/17))
}else if (i==1){
bet = q10*0.001*exp((v - 168)/16)
}
}
FUNCTION ce(v(mV),i)(/ms) { : order m n u
v = v
if (i==0) {
ce = 1/(1 + exp(-(v + 30.3)/9.6))
}else if (i==1){
ce = 1*(0.25+1/(1.35 + exp((v + 7)/14)))
}else if (i==2){
ce = 1*(0.1+1/(1.1 + exp((v + 7)/14)))
}
}
PROCEDURE rates(v) {LOCAL a,b,c :
a = alp(v,0) b=bet(v,0) c = ce(v,0)
mtau = 1/(a + b)/3*Tauact
minf = c
a = alp(v,1) b=bet(v,1) c = ce(v,1)
ntau = 1/(a + b)/3*Tauinactf
ninf = c
c = ce(v,2)
uinf = c
utau = 6800*Tauinacts
}
UNITSON