COMMENT
THIS IS THE MORE EFFICIENT VERSION of EPSPPlas.
Since short-term plasticity, and the synaptic dynamics is the same
for all the presynaptic terminals of a neuron, we can calculate these
parameters presynaptically, and then pass them to each synapse model.
For computational efficiency it is obviously better to process the release
parameters in the presynaptic mechanism, rather than do the same calculations
in each synaptic mechanism. The problem is the synaptic delay.
To deal with this problem I have created a history (histR, histG) of the
synaptic conductances, that are accessed by the synaptic mechanisms. The vector
index accessed corresponds to the delay.
In the vector the first index (0) is always the current time step.
Thus if dt = 0.1 to implement a delay of 1ms you should setpointer:
setpointer syn.R_1, IN[0].soma.histR_ExIAF[10]
for a zero ms delay
setpointer syn.R_1, IN[0].soma.histR_ExIAF[0]
ENDCOMMENT
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
NEURON {
: NONSPECIFIC_CURRENT i
:POINT_PROCESS EPlasSom
SUFFIX EPlasSom
RANGE C, lastrelease, lastspike, releaseat, Delay
GLOBAL Cdur, Deadtime, terror
GLOBAL Alpha_1, Beta_1
RANGE ampa, R0_1, R1_1, Rinf_1, Rtau_1
GLOBAL Alpha_2, Beta_2
GLOBAL DurNMDA, tauNMDA
:SHORT-TERM PLASTICITY
GLOBAL U, trec, tfac
RANGE R, u, RG
}
UNITS {
(nA) = (nanoamp)
(mV) = (millivolt)
(umho) = (micromho)
(mM) = (milli/liter)
}
STATE {
nmda : fraction of open NMDA channels
R_2
}
PARAMETER {
terror
Cdur = 1 (ms) : transmitter duration (rising phase)
Deadtime = 1 (ms) : mimimum time between release events
Delay = 1.5 (ms) : T - Synaptic Delay
Alpha_1 = 1.5 (/ms mM) : AMPA forward (binding) rate
Beta_1 = 0.75 (/ms) : AMPA backward (unbinding) rate
Alpha_2 = 0.25 (/ms mM) : NMDA forward (binding) rate
Beta_2 = 0.025 (/ms) : NMDA backward (unbinding) rate
DurNMDA = 0.4 : used in sigmoid R_G, small values long time-peak
tauNMDA =50 : in ms
tfac = 0.01 (ms) : this value should be close to 0 for no facilitation
trec = 500 (ms) : recovery from depression time constant
U = 0.5 : percent of transmitter released on first pulse
}
ASSIGNED {
dt (ms)
v (mV) : postsynaptic voltage
i (nA) : current = g*(v - Erev)
C (mM) : transmitter concentration
ampa
R0_1 : open channels at start of release
R1_1 : open channels at end of release
Rinf_1 : steady state channels open
Rtau_1 (ms) : time constant of channel binding
RG : reflects binding of Transm -> G protein
lastrelease (ms) : time of last spike
lastspike (ms)
releaseat
R : Releasable pool
u : for running value of U
}
INITIAL {
terror = dt/10
C = 0
ampa = 0
lastrelease = -9e4
lastspike = -9e4
releaseat = -9e4
R = 1
u = U
}
BREAKPOINT {
SOLVE release
}
PROCEDURE release() { LOCAL q
:will crash if user hasn't set pre with the connect statement
:FIND OUT THERE WAS A SPIKE
q = (t - lastspike) : time since last release ended
if (q > Deadtime) { : ready for another release?
if (v > 0) { : spike occured?
lastspike = t
releaseat = t + Delay
}
}
: CALCULATE RELEASE PARAMETERS
q = (t - lastrelease -Cdur) : time since last spike with delay
if (q > Deadtime) { : start release
if (t > releaseat - terror && t < releaseat + terror) {
lastrelease = t
u = u*(exptable(-q/tfac)) + U*(1-u*exptable(-q/tfac))
R = R*(1 - u)*exptable(-q/trec) + 1 - exptable(-q/trec)
C = R*u : start new release, turn on
Rinf_1 = C*Alpha_1 / (C*Alpha_1 + Beta_1)
Rtau_1 = 1 / ((Alpha_1 * C) + Beta_1)
R0_1 = ampa
R_2=(1-R_2)*0.5+R_2
}
} else if (q < 0) { : still releasing?
: do nothing
} else if (C > 0) { : in dead time after release, turn off
C = 0.
R1_1 = ampa
}
if (C > 0) { : transmitter being released?
ampa = Rinf_1 + (R0_1 - Rinf_1) * exptable (- (t - lastrelease) / Rtau_1)
} else { : no release occuring
ampa = R1_1 * exptable (- Beta_1 * (t - (lastrelease + Cdur)))
}
SOLVE G_protein METHOD cnexp : see http://www.neuron.yale.edu/phpBB/viewtopic.php?f=28&t=592
VERBATIM
return 0;
ENDVERBATIM
}
DERIVATIVE G_protein { : ready for anotherelease?
R_2'=-(R_2/tauNMDA)
if (R_2<0.01) {
RG = 0.0
} else {
RG = 1/( 1 + exptable(-((R_2)-DurNMDA)/0.05) ) : binding of T -> G
}
nmda' = Alpha_2 * RG * (1-nmda) - Beta_2 * nmda
:printf("D-------->%f\n",t)
}
FUNCTION exptable(x) {
TABLE FROM -10 TO 10 WITH 2000
if ((x > -10) && (x < 10)) {
exptable = exp(x)
} else {
exptable = 0.
}
}