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125 lines
2.8 KiB
125 lines
2.8 KiB
2 years ago
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: AdEx GIF model
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: This implementation is for the equations in:
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: Naud R, Marcille N, Clopath C, Gerstner W. Firing patterns in the adaptive
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: exponential integrate-and-fire model. Biol Cybern. 2008 Nov;99(4-5):335-47. doi:
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: 10.1007/s00422-008-0264-7. Epub 2008 Nov 15. PubMed PMID: 19011922; PubMed
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: Central PMCID: PMC2798047.
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: Which in turn is based on:
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: Brette R, Gerstner W. Adaptive exponential integrate-and-fire model as an
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: effective description of neuronal activity. J Neurophysiol. 2005
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: Nov;94(5):3637-42. Epub 2005 Jul 13. PubMed PMID: 16014787.
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:
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: Paul B. Manis
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: 9 Nov 2017, Washington DC
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:
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NEURON {
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: ARTIFICIAL_CELL AdEx
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SUFFIX AdEx
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RANGE gl, el, delt, vt, vr, w, b, cm, is, a, tauw
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RANGE refract, Vm
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NONSPECIFIC_CURRENT i
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: m plays the role of voltage
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}
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INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
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PARAMETER {
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cm = 200 (pF)
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el = -70 (mV) : leak (RMP)
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gl = 10 (nS) : resting input R
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delt = 2 (mV) : spike threshold sharpness
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vt = -50 (mV)
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vr = -58 (mV): reset value after a spike
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a = 2 (nS)
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b = 0 (pA)
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is = 0 (pA)
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tauw = 30 (ms)
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refract = 1 (ms)
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}
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ASSIGNED {
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i (mA/cm2)
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t0(ms) : time of last spike
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refractory : flag indicating when in a refractory period
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}
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STATE {
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w
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Vm
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}
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INITIAL {
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Vm = el
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t0 = t
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w = 0
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refractory = 0 : 0-integrates input, 1-refractory
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}
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BREAKPOINT {
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SOLVE states METHOD cnexp
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if (refractory == 0 && Vm <= 0.) {
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states()
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}
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if (refractory == 1) {
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if ((t-t0) >= refract){
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refractory = 0
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Vm = vr
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states()
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}
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else {
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Vm = 0.
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}
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}
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if (refractory == 0 && Vm > 0.) {
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refractory = 1
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t0 = t
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Vm = 0.
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w = w + b
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}
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}
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DERIVATIVE states { : update adaptation variable w
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LOCAL eterm, et
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w' = (a*(Vm - el) - w)/tauw
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eterm = (Vm-vt)/delt
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if (eterm > 700 ) { : prevent overflow of the exponential term
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: (it would be better to estimate the value... but for this
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: implementation, not necessary as this will be the term
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: that drives the model to spike - after that V is reset
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: so the time evolution no longer matters)
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et = 700.
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}
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else {
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et = exp(eterm)
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}
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Vm' = ( -gl*(Vm-el) + gl*delt*et + is - w)/cm
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}
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COMMENT
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NET_RECEIVE (w) {
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if (refractory == 0) { : inputs integrated only when excitable
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i = -gl*(v-el) + gl*delt*exp((Vm-vt)/delt) - w
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m = i/cm
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t0 = t
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states()
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if (m > 0) {
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refractory = 1
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m = 0
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net_send(refractory, refractory)
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net_event(t)
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}
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} else if (flag == 1) { : ready to integrate again
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t0 = t
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refractory = 0
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m = vr
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}
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}
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ENDCOMMENT
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