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, Frégnac 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;
: Biophysical model of STDP
: Author: Mathilde Badoual, 2004

INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}

NEURON {
        POINT_PROCESS KINASE
	USEION ca READ cai
	
	RANGE an,bn,trans,am,bm,ah,bh

}
UNITS {
        (celsius) = (degC)        
	(nA) = (nanoamp)
        (mV) = (millivolt)
        (umho) = (micromho)
        (mM) = (milli/liter)

}

PARAMETER {

	trans
	cai		(mM)		: Ca concentration inside
	an	(1/mM/mM/mM/mM/ms)
	bn	(1/ms)
	am	(1/mM/ms)
	bm	(1/ms)
	ah	(1/mM/ms)
	bh	(1/ms)
 }


STATE {
        n nbegin m h mbegin hbegin:fraction of open sites by Ca
}




INITIAL {
	n=0.0
	nbegin=1.0
	m=0.0
	h=0.0
	mbegin=1.0
}

KINETIC scheme {
	~ nbegin + 4 cai <-> n (an, bn)
	~ hbegin + trans <-> h (ah, bh)
	~ mbegin + cai <-> m (am, bm)
}

BREAKPOINT {
	SOLVE scheme METHOD sparse
	if (n<0) {
 	  n=0.0
	}

	if (m<0) {
 	  m=0.0
	}
	if (h<0) {
 	  h=0.0
	}

	if (mbegin<0) {
 	  mbegin=0.0
	}
	if (nbegin<0) {
 	  nbegin=0.0
	}
	if (hbegin<0) {
 	  hbegin=0.0
	}
}





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