TITLE BK calcium-activated potassium current
: Calcium activated K channel.
COMMENT
from "An Active Membrane Model of the Cerebellar Purkinje Cell
1. Simulation of Current Clamp in Slice"
ENDCOMMENT
UNITS {
(molar) = (1/liter)
}
UNITS {
(mV) = (millivolt)
(mA) = (milliamp)
(mM) = (millimolar)
}
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
NEURON {
SUFFIX KC2
USEION ca READ cai
USEION k WRITE ik
RANGE gkbar,gk,zinf,ik
}
PARAMETER {
celsius=37 (degC)
v (mV)
gkbar=.08 (mho/cm2) : Maximum Permeability
cai = .04e-3 (mM)
ek = -85 (mV)
dt (ms)
}
ASSIGNED {
ik (mA/cm2)
minf
mexp
zinf
zexp
gk
}
STATE { m z } : fraction of open channels
BREAKPOINT {
SOLVE state
: gk = gkbar*m*z*z
ik = gkbar*m*z*z*(v - ek)
}
:UNITSOFF
:LOCAL fac
:if state_cagk is called from hoc, garbage or segmentation violation will
:result because range variables won't have correct pointer. This is because
: only BREAKPOINT sets up the correct pointers to range variables.
PROCEDURE state() { : exact when v held constant; integrates over dt step
rate(v, cai)
m = m + mexp*(minf - m)
z = z + zexp*(zinf - z)
VERBATIM
return 0;
ENDVERBATIM
}
INITIAL {
rate(v, cai)
m = minf
z = zinf
}
FUNCTION alp(v (mV), ca (mM)) (1/ms) { :callable from hoc
alp = 40/(ca*1000)
}
FUNCTION bet(v (mV)) (1/ms) { :callable from hoc
bet = 0.11/exp((v-35)/14.9)
}
PROCEDURE rate(v (mV), ca (mM)) { :callable from hoc
LOCAL a,b
a = alp(v,ca)
zinf = 1/(1+a)
zexp = (1 - exp(-dt/10))
b = bet(v)
minf = 7.5/(7.5+b)
mexp = (1 - exp(-dt*(7.5+b)))
}
:UNITSON