COMMENT
Author: Mark Cembrowski, 2015
This is an extension of the Exp2Syn class to incorporate tracking of the
specific features of different excitatory synapses. Specifically, this includes
whether a synapse has an isOn attribute, which acts as a switch
on whether the synapse is on (if = 0, conductance is always = 0; if = 1,
synapse behaves as normal).
As background, the Exp2Syn features are described as:
Two state kinetic scheme synapse described by rise time tau1,
and decay time constant tau2. The normalized peak condunductance is 1.
Decay time MUST be greater than rise time.
The solution of A->G->bath with rate constants 1/tau1 and 1/tau2 is
A = a*exp(-t/tau1) and
G = a*tau2/(tau2-tau1)*(-exp(-t/tau1) + exp(-t/tau2))
where tau1 < tau2
If tau2-tau1 -> 0 then we have a alphasynapse.
and if tau1 -> 0 then we have just single exponential decay.
The factor is evaluated in the
initial block such that an event of weight 1 generates a
peak conductance of 1.
Because the solution is a sum of exponentials, the
coupled equations can be solved as a pair of independent equations
by the more efficient cnexp method.
ENDCOMMENT
NEURON {
POINT_PROCESS excSyn
RANGE tau1, tau2, e, i
NONSPECIFIC_CURRENT i
RANGE g
RANGE xEff
RANGE isOn
}
UNITS {
(nA) = (nanoamp)
(mV) = (millivolt)
(uS) = (microsiemens)
}
PARAMETER {
tau1=.2 (ms) <1e-9,1e9>
tau2 = 2.5 (ms) <1e-9,1e9>
e=0 (mV)
xEff=-1
isOn=0
}
ASSIGNED {
v (mV)
i (nA)
g (uS)
factor
}
STATE {
A (uS)
B (uS)
}
INITIAL {
LOCAL tp
if (tau1/tau2 > .9999) {
tau1 = .9999*tau2
}
A = 0
B = 0
tp = (tau1*tau2)/(tau2 - tau1) * log(tau2/tau1)
factor = -exp(-tp/tau1) + exp(-tp/tau2)
factor = 1/factor
}
BREAKPOINT {
SOLVE state METHOD cnexp
g = (B - A)*isOn
i = g*(v - e)
}
DERIVATIVE state {
A' = -A/tau1
B' = -B/tau2
}
NET_RECEIVE(weight (uS)) {
A = A + weight*factor
B = B + weight*factor
}