TITLE NMDA receptor with Ca influx + AMPA receptor
COMMENT
Written by Eduardo Conde-Sousa, FCUP
econdesousa@gmail.com
and
Paulo Aguiar, FCUP
pauloaguiar@fc.up.pt
in Dec 2011
ENDCOMMENT
NEURON {
POINT_PROCESS ComboSyn
USEION ca WRITE ica
USEION mg READ mgo VALENCE 2
RANGE tau1, tau2, e_AMPA, i_AMPA
RANGE g_AMPA
RANGE tau_rise, tau_decay
RANGE i_NMDA, g_NMDA, e_NMDA, mg, i2, ica, ca_ratio
RANGE rr
NONSPECIFIC_CURRENT i
}
UNITS {
(nA) = (nanoamp)
(mV) = (millivolt)
(molar) = (1/liter)
(mM) = (millimolar)
}
PARAMETER {
tau1 = 0.1 (ms) <1e-9,1e9>
tau2 = 5 (ms) <1e-9,1e9>
e_AMPA = 0 (mV)
tau_rise = 5.0 (ms) <1e-9,1e9>
tau_decay = 70.0 (ms) <1e-9,1e9>
e_NMDA = 0.0 (mV) : synapse reversal potential
mgo = 1.0 (mM) : external magnesium concentration
ca_ratio = 0.1 (1) : ratio of Ca current to total current, Burnashev/Sakmann J.Phys.1995 485 403-418)
rr = 0.839486356
}
ASSIGNED {
v (mV)
i (nA)
i2 (nA)
g_AMPA (umho)
g_NMDA (umho)
factor (1)
ica (nA)
i_NMDA (nA)
i_AMPA (nA)
factor_AMPA
factor_NMDA
}
STATE {
A_AMPA (uS)
B_AMPA (uS)
A_NMDA (uS)
B_NMDA (uS)
}
INITIAL{
LOCAL tp_NMDA, tp_AMPA
if (tau_rise/tau_decay > .9999) {
tau_rise = .9999*tau_decay
}
A_NMDA = 0
B_NMDA = 0
tp_NMDA = (tau_rise*tau_decay)/(tau_decay-tau_rise)*log(tau_decay/tau_rise)
factor_NMDA = -exp(-tp_NMDA/tau_rise)+exp(-tp_NMDA/tau_decay)
factor_NMDA = 1/factor_NMDA
if (tau1/tau2 > .9999) {
tau1 = .9999*tau2
}
A_AMPA = 0
B_AMPA = 0
tp_AMPA = (tau1*tau2)/(tau2 - tau1) * log(tau2/tau1)
factor_AMPA = -exp(-tp_AMPA/tau1) + exp(-tp_AMPA/tau2)
factor_AMPA = 1/factor_AMPA
}
BREAKPOINT {
SOLVE state METHOD cnexp
g_NMDA = B_NMDA-A_NMDA
i2 = g_NMDA*mgblock(v)*(v-e_NMDA)
ica = ca_ratio*i2
i_NMDA = (1-ca_ratio)*i2
g_AMPA = B_AMPA - A_AMPA
i_AMPA = g_AMPA*(v - e_AMPA)
i=i_NMDA+i_AMPA
}
DERIVATIVE state{
A_NMDA' = -A_NMDA/tau_rise
B_NMDA' = -B_NMDA/tau_decay
A_AMPA' = -A_AMPA/tau1
B_AMPA' = -B_AMPA/tau2
}
FUNCTION mgblock(v(mV)) {
: from Jahr & Stevens 1990
mgblock = 1 / (1 + exp(0.062 (/mV) * -v) * (mgo / 3.57 (mM)))
}
NET_RECEIVE (weight (uS)){
A_NMDA = A_NMDA + weight*rr*factor_NMDA
B_NMDA = B_NMDA + weight*rr*factor_NMDA
A_AMPA = A_AMPA + weight*(1-rr)*factor_AMPA
B_AMPA = B_AMPA + weight*(1-rr)*factor_AMPA
}