: this model is built-in to neuron with suffix syn_g_duo
COMMENT
synaptic current with exponential rise and decay conductance defined by
i = g * (v - e) i(nanoamps), g(micromhos);
where
g = 0 for t < onset and
g=amp*((1-exp(-(t-onset)/tau0))-(1-exp(-(t-onset)/tau1)))
for t > onset
ENDCOMMENT
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
NEURON {
POINT_PROCESS syn_g_duo
RANGE onset, tau0, tau1, tau2, tau3, gmax, ntar, e, i
NONSPECIFIC_CURRENT i
}
UNITS {
(nA) = (nanoamp)
(mV) = (millivolt)
(umho) = (micromho)
}
PARAMETER {
onset=0 (ms)
: ampa
tau0=0.3 (ms)
tau1=3.0 (ms)
: nmda from Larkum 2009
tau2=5.0 (ms)
tau3=90.0 (ms)
gmax=0 (umho)
ntar = 0.3
: nomad to amp ratio from Larkum 2009
e=0 (mV)
v (mV)
}
ASSIGNED { i (nA) g (umho) ga (umho) gn (umho) }
LOCAL a[4]
LOCAL tpeak
LOCAL adjust
LOCAL amp
BREAKPOINT {
ga = conda(t)
gn = condn(t)
g = ga+gn
i = (ga*(v - e)) + (gn*(v - e) *mgblock(v))
}
FUNCTION conda(x) {
tpeak=tau0*tau1*log(tau0/tau1)/(tau0-tau1)
adjust=1/((1-exp(-tpeak/tau0))-(1-exp(-tpeak/tau1)))
amp=adjust*gmax
if (x < onset) {
conda = 0
}else{
a[0]=1-exp(-(x-onset)/tau0)
a[1]=1-exp(-(x-onset)/tau1)
conda = amp*(a[0]-a[1])
}
}
FUNCTION condn(x) {
tpeak=tau2*tau3*log(tau2/tau3)/(tau2-tau3)
adjust=1/((1-exp(-tpeak/tau2))-(1-exp(-tpeak/tau3)))
amp=adjust*gmax*ntar
if (x < onset) {
condn = 0
}else{
a[2]=1-exp(-(x-onset)/tau2)
a[3]=1-exp(-(x-onset)/tau3)
condn = amp*(a[2]-a[3])
}
}
FUNCTION mgblock(v) {
: from Jahr & Stevens
mgblock = 1 / (1 + exp(0.062 * -v) * (2 / 3.57))
}