Biophysical and phenomenological models of spike-timing dependent plasticity (Badoual et al. 2006)

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Accession:116096
"Spike-timing dependent plasticity (STDP) is a form of associative synaptic modification which depends on the respective timing of pre- and post-synaptic spikes. The biophysical mechanisms underlying this form of plasticity are currently not known. We present here a biophysical model which captures the characteristics of STDP, such as its frequency dependency, and the effects of spike pair or spike triplet interactions. ... A simplified phenomenological model is also derived..."
Reference:
1 . Badoual M, Zou Q, Davison AP, Rudolph M, Bal T, Fregnac Y, Destexhe A (2006) Biophysical and phenomenological models of multiple spike interactions in spike-timing dependent plasticity. Int J Neural Syst 16:79-97 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell;
Brain Region(s)/Organism:
Cell Type(s):
Channel(s): I Na,t; I K; I M; I Calcium;
Gap Junctions:
Receptor(s): AMPA; NMDA;
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Simplified Models; Synaptic Plasticity; Long-term Synaptic Plasticity; STDP;
Implementer(s):
Search NeuronDB for information about:  AMPA; NMDA; I Na,t; I K; I M; I Calcium;
/* ----------------------------------------------------------------
   
   Script to reproduce Figures 2 and 3 from:
   
   M. Badoual, Q. Zou, A.P. Davison, M. Rudolph, T. Bal,
   Y. Frégnac and A. Destexhe (2006) Biophysical and phenomenological
   models of multiple spike interactions in spike-timing dependent
   plasticity.
   Int J. Neural Syst. 16: 79-97
      
   Authors: Mathilde Badoual and Andrew Davison
  
---------------------------------------------------------------- */

xopen("cell.hoc")

proc init() {
    finitialize(v_init)
    fcurrent()
    tmpdt = dt
    t = -1000 // ms 
    dt = 1    // ms 
    while (t < 0) {
            fadvance()
            cadend_cadspine=dendrite.cai
    }
    dt = tmpdt
    lneck_cadspine = neck.L
    sneck_cadspine = pi*neck.diam*neck.diam/4
    vspine_cadspine = pi*spine.diam*spine.diam*spine.diam/6
    access spine
    onset_NMDAKIT = ampasyn.onset
    period_NMDAKIT = ampasyn.periodpre
    nbre_NMDAKIT = ampasyn.nbrepre
    st.del = ampasyn.onset+ampasyn.delta
    access spine
    jpost = 1
    kin.trans = ampasyn.C
    ltp = 0.0
    ltd = 0.0
    ltpint = 0.0
    ltdint = 0.0
    maxltp = 0.0
    maxltd = 0.0
    kin.n = 0
    kin.h = 0
    kin.m = 0
    kin.nbegin = 1
    kin.mbegin = 1
    kin.hbegin = 1
}

proc advance() {
    fadvance()
    kin.trans=ampasyn.C
    cadend_cadspine=dendrite.cai

    ltp=kin.n
    ltpint=ltpint+ltp*dt
    ltd=kin.m * kin.h

    ltdint=ltdint+ltd*dt
    if (ltp>maxltp) {maxltp=ltp}
    if (ltd>maxltd) {maxltd=ltd}
    if (jpost<ampasyn.nbrepost) {
      if ((t>st.del+ampasyn.periodpost-1.5*dt) && (t<st.del+ampasyn.periodpost-0.5*dt)) {
        st.del=st.del+ampasyn.periodpost
        jpost=jpost+1
      }
    }
}

xopen("graphs.hoc")

proc set_parameters_for_Figs2and3() {
    tstop = 500
    ampasyn.onset = 150
    ampasyn.delta = -100
    ampasyn.periodpre = 25
    ampasyn.periodpost = 20
    ampasyn.nbrepre = 1
    ampasyn.nbrepost = 1
    ampasyn.tau0 = 0.34
    ampasyn.tau1 = 2
    ampasyn.gmax = 0.0005
    spine {
        onset_NMDAKIT = 150
        period_NMDAKIT = 25
        nbre_NMDAKIT = 1
        tau0_NMDAKIT = 2
        tau1_NMDAKIT = 80
        cao_NMDAKIT = 1.5
        gmax_NMDAKIT = 0.04
    }
    kin.an = 3e9
    kin.bn = 1
    kin.am = 200
    kin.bm = 0.1
    kin.ah = 1
    kin.bh = 0.4
    D_cadspine = 0 
}

set_parameters_for_Figs2and3()

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