Single compartment Dorsal Lateral Medium Spiny Neuron w/ NMDA and AMPA (Biddell and Johnson 2013)

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A biophysical single compartment model of the dorsal lateral striatum medium spiny neuron is presented here. The model is an implementation then adaptation of a previously described model (Mahon et al. 2002). The model has been adapted to include NMDA and AMPA receptor models that have been fit to dorsal lateral striatal neurons. The receptor models allow for excitation by other neuron models.
1 . Biddell K, Johnson J (2013) A Biophysical Model of Cortical Glutamate Excitation of Medium Spiny Neurons in the Dorsal Lateral Striatum 56th IEEE Midwest Symposium on Circuits and Systems
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell; Connectionist Network;
Brain Region(s)/Organism: Basal ganglia;
Cell Type(s): Neostriatum spiny direct pathway neuron; Neostriatum spiny neuron;
Channel(s): I Na,p; I K; I K,leak; I A, slow; I_Ks; I Krp; I Na, leak;
Gap Junctions:
Receptor(s): AMPA; NMDA;
Transmitter(s): Glutamate;
Simulation Environment: NEURON;
Model Concept(s): Detailed Neuronal Models; Short-term Synaptic Plasticity; Parkinson's; Learning; Deep brain stimulation;
Implementer(s): Biddell, Kevin [kevin.biddell at];
Search NeuronDB for information about:  Neostriatum spiny direct pathway neuron; AMPA; NMDA; I Na,p; I K; I K,leak; I A, slow; I_Ks; I Krp; I Na, leak; Glutamate;
AMPA channel
This is an adapted version of Exp2Syn.
Adapted by Kevin M Biddell similar to as described by wolf et al 2006
verified 3/29/2012

Two state kinetic scheme synapse described by rise time tauon,
and decay time constant tauoff. The normalized peak condunductance is 1.
Decay time MUST be greater than rise time.

The solution of A->G->bath with rate constants 1/tauon and 1/tauoff is
 A = a*exp(-t/tauon) and
 G = a*tau2/(tauoff-tauon)*(-exp(-t/tauon) + exp(-t/tauoff))
	where tauon < tauoff

If tauoff-tauon -> 0 then we have a alphasynapse.
and if tauon -> 0 then we have just single exponential decay.

The factor is evaluated in the
initial block such that an event of weight 1 generates a
peak conductance of 1.

Because the solution is a sum of exponentials, the
coupled equations can be solved as a pair of independent equations
by the more efficient cnexp method.


	RANGE tauon, tauoff, gAmax, gA, Erev, i
	GLOBAL total

	(nA) = (nanoamp)
	(mV) = (millivolt)
	(uS) = (microsiemens)
	(pS) = (picosiemens)

	Erev	= 0    (mV)	: reversal potential
	gAmax	= 30  (pS)	: maximal conductance fit ~5/07 by KMB
	tauon	= 1.1  (ms)<1e-9,1e9>
	tauoff	= 5.75 (ms)<1e-9,1e9>

	v (mV)
	i (nA)
	gA (uS)
	total (uS)

	m (uS)
	h (uS)

	total = 0
	if (tauon/tauoff > .9999) {
		tauon = .9999*tauoff
	m = 0
	h = 0
	tp = (tauon*tauoff)/(tauoff - tauon) * log(tauoff/tauon)
	factor = -exp(-tp/tauon) + exp(-tp/tauoff)
	factor = 1/factor

	SOLVE state METHOD cnexp
	gA = (1e-6)*gAmax*(h-m) 	: the 1e-6 is to convert pS to microSiemens
        i = gA*(v - Erev)

	m' = -m/tauon
	h' = -h/tauoff

NET_RECEIVE(weight (uS)) {
	state_discontinuity(m, m + weight*factor)
	state_discontinuity(h, h + weight*factor)
	total = total+weight

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