:Tone to Interneuron Cells AMPA+NMDA with local Ca2+ pool
NEURON {
POINT_PROCESS tone2interDNE
USEION ca READ eca
NONSPECIFIC_CURRENT inmda, iampa
RANGE initW
RANGE Cdur_nmda, AlphaTmax_nmda, Beta_nmda, Erev_nmda, gbar_nmda, W_nmda, on_nmda, g_nmda
RANGE Cdur_ampa, AlphaTmax_ampa, Beta_ampa, Erev_ampa, gbar_ampa, W, on_ampa, g_ampa
RANGE eca, ICan, P0n, fCan, tauCa, Icatotal
RANGE ICaa, P0a, fCaa
RANGE Cainf, pooldiam, z
RANGE lambda1, lambda2, threshold1, threshold2
RANGE fmax, fmin, Wmax, Wmin, maxChange, normW, scaleW, srcid, destid
RANGE pregid,postgid
}
UNITS {
(mV) = (millivolt)
(nA) = (nanoamp)
(uS) = (microsiemens)
FARADAY = 96485 (coul)
pi = 3.141592 (1)
}
PARAMETER {
srcid = -1 (1)
destid = -1 (1)
Cdur_nmda = 16.7650 (ms)
AlphaTmax_nmda = .2659 (/ms)
Beta_nmda = 0.008 (/ms)
Erev_nmda = 0 (mV)
gbar_nmda = .5e-3 (uS)
Cdur_ampa = 0.713 (ms)
AlphaTmax_ampa = 10.1571 (/ms)
Beta_ampa = 0.4167 (/ms)
Erev_ampa = 0 (mV)
gbar_ampa = 1e-3 (uS)
eca = 120
Cainf = 50e-6 (mM)
pooldiam = 1.8172 (micrometer)
z = 2
tauCa = 50 (ms)
P0n = .015
fCan = .024
P0a = .0015 : .001
fCaa = .024
lambda1 = 3 : 4 : 3 : 4 : 5 : 7 : 10
lambda2 = 0.01
threshold1 = 0.45 : 0.5 : 0.55 : .4 : 0.35
threshold2 = 0.50 : 0.55 : 0.6 : 0.45 : 0.4
initW = 4.5 : 6 : 8 : 7.5 : 6 : 5 : 4 : 5 : 4 : 3 : 4
fmax = 4.3 : 3.8 : 4 : 3
fmin = .8
NEstart1 = 39500
NEstop1 = 40000
NEstart2 = 35900
NEstop2 = 36000
NE_t1 = 1.0
NE_t2 = 1.2 : 1.4 : 1.2
NE_S = 1.4 : 1.2
Beta1 = 0.001 (/ms) : 1/decay time for neuromodulators
Beta2 = 0.0001 (/ms)
GAPstart1 = 96000
GAPstop1 = 196000
}
ASSIGNED {
v (mV)
inmda (nA)
g_nmda (uS)
on_nmda
W_nmda
iampa (nA)
g_ampa (uS)
on_ampa
W
t0 (ms)
ICan (mA)
ICaa (mA)
Afactor (mM/ms/nA)
Icatotal (mA)
dW_ampa
Wmax
Wmin
maxChange
normW
scaleW
pregid
postgid
}
STATE { r_nmda r_ampa capoolcon }
INITIAL {
on_nmda = 0
r_nmda = 0
W_nmda = initW
on_ampa = 0
r_ampa = 0
W = initW
t0 = -1
Wmax = fmax*initW
Wmin = fmin*initW
maxChange = (Wmax-Wmin)/10
dW_ampa = 0
capoolcon = Cainf
Afactor = 1/(z*FARADAY*4/3*pi*(pooldiam/2)^3)*(1e6)
}
BREAKPOINT {
SOLVE release METHOD cnexp
}
DERIVATIVE release {
if (t0>0) {
if (t-t0 < Cdur_nmda) {
on_nmda = 1
} else {
on_nmda = 0
}
if (t-t0 < Cdur_ampa) {
on_ampa = 1
} else {
on_ampa = 0
}
}
r_nmda' = AlphaTmax_nmda*on_nmda*(1-r_nmda)-Beta_nmda*r_nmda
r_ampa' = AlphaTmax_ampa*on_ampa*(1-r_ampa)-Beta_ampa*r_ampa
dW_ampa = eta(capoolcon)*(lambda1*omega(capoolcon, threshold1, threshold2)-lambda2*GAP1(GAPstart1, GAPstop1)*W)*dt
: Limit for extreme large weight changes
if (fabs(dW_ampa) > maxChange) {
if (dW_ampa < 0) {
dW_ampa = -1*maxChange
} else {
dW_ampa = maxChange
}
}
:Normalize the weight change
normW = (W-Wmin)/(Wmax-Wmin)
if (dW_ampa < 0) {
scaleW = sqrt(fabs(normW))
} else {
scaleW = sqrt(fabs(1.0-normW))
}
W = W + dW_ampa*scaleW
:Weight value limits
if (W > Wmax) {
W = Wmax
} else if (W < Wmin) {
W = Wmin
}
g_nmda = gbar_nmda*r_nmda *NEn(NEstart1,NEstop1)*NE2(NEstart2,NEstop2) : NE effect on NMDA
inmda = W_nmda*g_nmda*(v - Erev_nmda)*sfunc(v)
g_ampa = gbar_ampa*r_ampa
iampa = W*g_ampa*(v - Erev_ampa)
ICan = P0n*g_nmda*(v - eca)*sfunc(v)
ICaa = P0a*W*g_ampa*(v-eca)/initW
Icatotal = ICan + ICaa
capoolcon'= -fCan*Afactor*Icatotal + (Cainf-capoolcon)/tauCa
}
NET_RECEIVE(dummy_weight) {
t0 = t
}
:::::::::::: FUNCTIONs and PROCEDUREs ::::::::::::
FUNCTION sfunc (v (mV)) {
UNITSOFF
sfunc = 1/(1+0.33*exp(-0.06*v))
UNITSON
}
FUNCTION eta(Cani (mM)) {
LOCAL taulearn, P1, P2, P4, Cacon
P1 = 0.1
P2 = P1*1e-4
P4 = 1
Cacon = Cani*1e3
taulearn = P1/(P2+Cacon*Cacon*Cacon)+P4
eta = 1/taulearn*0.001
}
FUNCTION omega(Cani (mM), threshold1 (uM), threshold2 (uM)) {
LOCAL r, mid, Cacon
Cacon = Cani*1e3
r = (threshold2-threshold1)/2
mid = (threshold1+threshold2)/2
if (Cacon <= threshold1) { omega = 0}
else if (Cacon >= threshold2) { omega = 1/(1+50*exp(-50*(Cacon-threshold2)))}
else {omega = -sqrt(r*r-(Cacon-mid)*(Cacon-mid))}
}
FUNCTION NEn(NEstart1 (ms), NEstop1 (ms)) {
LOCAL NEtemp1, NEtemp2, NEtemp3, NEtemp4, NEtemp5, NEtemp6, NEtemp7, NEtemp8, NEtemp9, NEtemp10, NEtemp11, NEtemp12, NEtemp13, NEtemp14, NEtemp15, NEtemp16, NEtemp17, NEtemp18,s
NEtemp1 = NEstart1+4000
NEtemp2 = NEtemp1+4000
NEtemp3 = NEtemp2+4000
NEtemp4 = NEtemp3+4000
NEtemp5 = NEtemp4+4000
NEtemp6 = NEtemp5+4000
NEtemp7 = NEtemp6+4000
NEtemp8 = NEtemp7+4000
NEtemp9 = NEtemp8+4000
NEtemp10 = NEtemp9+4000
NEtemp11 = NEtemp10+4000
NEtemp12 = NEtemp11+4000
NEtemp13 = NEtemp12+4000
NEtemp14 = NEtemp13+4000
NEtemp15 = NEtemp14 + 4000 + 100000 : 100sec Gap
NEtemp16 = NEtemp15 + 4000
NEtemp17 = NEtemp16 + 4000
NEtemp18 = NEtemp17 + 4000
if (t <= NEstart1) { NEn = 1.0}
else if (t >= NEstart1 && t <= NEstop1) {NEn = NE_t1} : 2nd tone in early conditioning (EC)
else if (t > NEstop1 && t < NEtemp1) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-NEstop1))} : Basal level
else if (t >= NEtemp1 && t <= NEtemp1+500) {NEn = NE_t1} : 3rd tone EC
else if (t > NEtemp1+500 && t < NEtemp2) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-NEstop1))} : Basal level
else if (t >= NEtemp2 && t <= NEtemp2+500) {NEn = NE_t1} : 4th tone EC
else if (t > NEtemp2+500 && t < NEtemp3) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-(NEtemp2+500)))} : Basal level
else if (t >= NEtemp3 && t <= NEtemp3+500) {NEn = NE_t1} : 5th tone EC
else if (t > NEtemp3+500 && t < NEtemp4) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-(NEtemp3+500)))} : Basal level
else if (t >= NEtemp4 && t <= NEtemp4+500) {NEn = NE_t1} : 6th tone EC
else if (t > NEtemp4+500 && t < NEtemp5) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-(NEtemp4+500)))} : Basal level
else if (t >= NEtemp5 && t <= NEtemp5+500) {NEn = NE_t1} : 7th tone EC
else if (t > NEtemp5+500 && t < NEtemp6) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-(NEtemp5+500)))} : Basal level
else if (t >= NEtemp6 && t <= NEtemp6+500) {NEn = NE_t1} : 8th tone EC
else if (t > NEtemp6+500 && t < NEtemp7) {NEn = 1.0 + (NE_t1-1)*exp(-Beta1*(t-(NEtemp6+500)))} : Basal level
else if (t >= NEtemp7 && t <= NEtemp7+500) {NEn = NE_t2} : 9th tone - Second Step late cond (LC)
else if (t > NEtemp7+500 && t < NEtemp8) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp7+500)))} : Basal level
else if (t >= NEtemp8 && t <= NEtemp8+500) {NEn = NE_t2} : 10th tone LC
else if (t > NEtemp8+500 && t < NEtemp9) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp8+500)))} : Basal level
else if (t >= NEtemp9 && t <= NEtemp9+500) {NEn = NE_t2} : 11th tone LC
else if (t > NEtemp9+500 && t < NEtemp10) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp9+500)))} : Basal level
else if (t >= NEtemp10 && t <= NEtemp10+500) {NEn = NE_t2} : 12th tone LC
else if (t > NEtemp10+500 && t < NEtemp11) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp10+500)))} : Basal level
else if (t >= NEtemp11 && t <= NEtemp11+500) {NEn = NE_t2} : 13th tone LC
else if (t > NEtemp11+500 && t < NEtemp12) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp11+500)))} : Basal level
else if (t >= NEtemp12 && t <= NEtemp12+500) {NEn = NE_t2} : 14th tone LC
else if (t > NEtemp12+500 && t < NEtemp13) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp12+500)))} : Basal level
else if (t >= NEtemp13 && t <= NEtemp13+500) {NEn = NE_t2} : 15th tone LC
else if (t > NEtemp13+500 && t < NEtemp14) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp13+500)))} : Basal level
else if (t >= NEtemp14 && t <= NEtemp14+500) {NEn = NE_t2} : 16th tone LC
else if (t > NEtemp14+500 && t < NEtemp15) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp14+500)))} : Basal level
else if (t >= NEtemp15 && t <= NEtemp15+500) {NEn = NE_t2} : 1st tone in Early Extinction EE
else if (t > NEtemp15+500 && t < NEtemp16) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp15+500)))} : Basal level
else if (t >= NEtemp16 && t <= NEtemp16+500) {NEn = NE_t2} : 2nd tone EE
else if (t > NEtemp16+500 && t < NEtemp17) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp16+500)))} : Basal level
else if (t >= NEtemp17 && t <= NEtemp17+500) {NEn = NE_t2} : 3rd tone EE
else if (t > NEtemp17+500 && t < NEtemp18) {NEn = 1.0 + (NE_t2-1)*exp(-Beta2*(t-(NEtemp17+500)))} : Basal level
else if (t >= NEtemp18 && t <= NEtemp18+500) {NEn = NE_t2} : 4th tone EE
else { NEn = 1.0}
}
FUNCTION NE2(NEstart2 (ms), NEstop2 (ms)) {
LOCAL NE2temp1, NE2temp2, NE2temp3, NE2temp4, NE2temp5, NE2temp6, NE2temp7, NE2temp8, NE2temp9, NE2temp10, NE2temp11, NE2temp12, NE2temp13, NE2temp14, NE2temp15, NE2temp16,s
NE2temp1 = NEstart2 + 4000
NE2temp2 = NE2temp1 + 4000
NE2temp3 = NE2temp2 + 4000
NE2temp4 = NE2temp3 + 4000
NE2temp5 = NE2temp4 + 4000
NE2temp6 = NE2temp5 + 4000
NE2temp7 = NE2temp6 + 4000
NE2temp8 = NE2temp7 + 4000
NE2temp9 = NE2temp8 + 4000
NE2temp10 = NE2temp9 + 4000
NE2temp11 = NE2temp10 + 4000
NE2temp12 = NE2temp11 + 4000
NE2temp13 = NE2temp12 + 4000
NE2temp14 = NE2temp13 + 4000
NE2temp15 = NE2temp14 + 4000
if (t <= NEstart2) { NE2 = 1.0}
else if (t >= NEstart2 && t <= NEstop2) {NE2 = NE_S } : 1st shock
else if (t > NEstop2 && t < NE2temp1) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NEstop2+500)))}
else if (t >= NE2temp1 && t <= NE2temp1+100) {NE2=NE_S} : 2nd shock
else if (t > NE2temp1+100 && t < NE2temp2) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp1+100)))}
else if (t >= NE2temp2 && t <= NE2temp2+100) {NE2=NE_S} : 3rd shock
else if (t > NE2temp2+100 && t < NE2temp3) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp2+100)))}
else if (t >= NE2temp3 && t <= NE2temp3+100) {NE2=NE_S} : 4th shock
else if (t > NE2temp3+100 && t < NE2temp4) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp3+100)))}
else if (t >= NE2temp4 && t <= NE2temp4+100) {NE2=NE_S} : 5th shock
else if (t > NE2temp4+100 && t < NE2temp5) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp4+100)))}
else if (t >= NE2temp5 && t <= NE2temp5+100) {NE2=NE_S} : 6th shock
else if (t > NE2temp5+100 && t < NE2temp6) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp5+100)))}
else if (t >= NE2temp6 && t <= NE2temp6+100) {NE2=NE_S} : 7th shock
else if (t > NE2temp6+100 && t < NE2temp7) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp6+100)))}
else if (t >= NE2temp7 && t <= NE2temp7+100) {NE2=NE_S} : 8th shock
else if (t > NE2temp7+100 && t < NE2temp8) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp7+100)))}
else if (t >= NE2temp8 && t <= NE2temp8+100) {NE2=NE_S } : 9th shock
else if (t > NE2temp8+100 && t < NE2temp9) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp8+100)))}
else if (t >= NE2temp9 && t <= NE2temp9+100) {NE2=NE_S } : 10th shock
else if (t > NE2temp9+100 && t < NE2temp10) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp9+100)))}
else if (t >= NE2temp10 && t <= NE2temp10+100) {NE2=NE_S} : 11th shock
else if (t > NE2temp10+100 && t < NE2temp11) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp10+100)))}
else if (t >= NE2temp11 && t <= NE2temp11+100) {NE2=NE_S } : 12th shock
else if (t > NE2temp11+100 && t < NE2temp12) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp11+100)))}
else if (t >= NE2temp12 && t <= NE2temp12+100) {NE2=NE_S} : 13th shock
else if (t > NE2temp12+100 && t < NE2temp13) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp12+100)))}
else if (t >= NE2temp13 && t <= NE2temp13+100) {NE2=NE_S } : 14th shock
else if (t > NE2temp13+100 && t < NE2temp14) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp13+100)))}
else if (t >= NE2temp14 && t <= NE2temp14+100) {NE2=NE_S} : 15th shock
else if (t > NE2temp14+100 && t < NE2temp15) {NE2 = 1.0 + (NE_S-1)*exp(-Beta2*(t-(NE2temp14+100)))}
else if (t >= NE2temp15 && t <= NE2temp15+100) {NE2=NE_S} : 16th shock
else { NE2 = 1.0}
}
FUNCTION GAP1(GAPstart1 (ms), GAPstop1 (ms)) {
LOCAL s
if (t <= GAPstart1) { GAP1 = 1}
else if (t >= GAPstart1 && t <= GAPstop1) {GAP1 = 1} : During the Gap, apply lamda2*2
else { GAP1 = 1}
}