COMMENT
Described by Gruber et al. 2003, which they based on Mermelstein et al. 1998
Gruber, A.J., Solla, S.A., Surmeier, D.J., and Houk, J.C.
Modulation of striatal single units by expected reward:
a spiny neuron model displaying dopamine-induced bistability.
J. Neurophysiol. 90:1095-1114, 2003.
Mermelstein, P.G., Song, W-J., Tkatch, T., Yan, Z., and Surmeier, D.J.
Inwardly rectifying potassium currents are correlated with irk subunit expression
in rat nucleus accumbens medium spiny neurons.
J. Neurosci. 18:6650-6661, 1998.
Unlike the formulation used by Gruber et al.,
which assumed instantaneous activation,
this implementation assumes a constant activation time constant
that is relatively fast compared to the time scale of the model
(100-1000 ms).
ENDCOMMENT
NEURON {
SUFFIX kir2
USEION k READ ek WRITE ik
RANGE gbar, g, i
GLOBAL ninf, ntau
POINTER mu : hoc level DAsyn[i].msg--see dasyn.mod
}
UNITS {
(mA) = (milliamp)
(uA) = (microamp)
(mV) = (millivolt)
(mS) = (millimho)
}
PARAMETER {
gbar = 1.2 (mS/cm2) <0,1e9>
ek = -90 (mV)
vh = -111 (mV) : half activation
ve = -11 (mV) : slope
ntauconst = 0.1 (ms) : n activates much faster than 100-1000 ms
}
ASSIGNED {
v (mV)
g (mho/cm2)
i (uA/cm2) : for consistency with their usage of uA/cm2
ik (mA/cm2)
ninf (1)
ntau (ms)
mu (1)
}
STATE {
n
}
BREAKPOINT {
SOLVE states METHOD cnexp
g = mu*(0.001)*gbar*n
ik = g*(v - ek)
i = (1000)*ik
}
INITIAL {
rates(v)
n = ninf
}
DERIVATIVE states {
rates(v)
n' = (ninf-n)/ntau
}
: rates() computes rate and other constants at present v
: call once from hoc to initialize inf at resting v
PROCEDURE rates(v(mV)) {
UNITSOFF
: "n" potassium activation
ntau = ntauconst
ninf = 1/(1 + exp(-(v - vh)/ve))
}
UNITSON