Effects of KIR current inactivation in NAc Medium Spiny Neurons (Steephen and Manchanda 2009)

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"Inward rectifying potassium (KIR) currents in medium spiny (MS) neurons of nucleus accumbens inactivate significantly in ~40% of the neurons but not in the rest, which may lead to differences in input processing by these two groups. Using a 189-compartment computational model of the MS neuron, we investigate the influence of this property using injected current as well as spatiotemporally distributed synaptic inputs. Our study demonstrates that KIR current inactivation facilitates depolarization, firing frequency and firing onset in these neurons. ..."
1 . Steephen JE, Manchanda R (2009) Differences in biophysical properties of nucleus accumbens medium spiny neurons emerging from inactivation of inward rectifying potassium currents. J Comput Neurosci 27:453-70 [PubMed]
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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: Basal ganglia;
Cell Type(s): Nucleus accumbens spiny projection neuron;
Channel(s): I Na,p; I L high threshold; I T low threshold; I p,q; I A; I h; I K,Ca; I CAN; I A, slow; I Krp; I R;
Gap Junctions:
Receptor(s): AMPA; NMDA; Gaba;
Gene(s): Cav1.3 CACNA1D; Cav1.2 CACNA1C; IRK;
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Ion Channel Kinetics; Action Potentials; Synaptic Integration; Delay;
Implementer(s): Steephen, John Eric [johneric at duk.ac.in];
Search NeuronDB for information about:  AMPA; NMDA; Gaba; I Na,p; I L high threshold; I T low threshold; I p,q; I A; I h; I K,Ca; I CAN; I A, slow; I Krp; I R;
TITLE    GABA synapse for nucleus accumbens model
: see comments below

  RANGE gbar, tau_r, tau_d, scale, spkcnt, countflag, i, t1, Erev, qfact

  (nA) = (nanoamp)
  (mV) = (millivolt)
  (umho) = (micromho)

	gbar = 0.0021  (umho)	: Nusser 2003 - conductance = 435 pS per synapse
							:   G = dI/dV, compare vh = +10 and vh = 0
	tau_r = 0.5 	(ms)   	: Galaretta 1997, Table 1
	tau_d = 7.5  	(ms)   	: Galaretta 1997, Table 1
	Erev  = -60    (mV)   	: reversal potential, Czubayko 2002, Tepper 2004
	saturate = 1.2 			: causes the conductance to saturate - matched to 
							:    Destexhe's reduced model in [1]
	qfact = 2				: convert 22 degC to 35 degC
}							: standard correction - Gutfreund, Table 7.1

	g (umho)
	v (mV)   		: postsynaptic voltage
	i (nA)   		: current = g*(v - Erev)
	t1  (ms)
	y1_add (/ms)    : value added to y1 when a presynaptic spike is registered
	y1_loc (/ms)

	countflag	: start/stop counting
	spkcnt		: counts number of events delivered to synapse

	scale		: scale allows the current to be scaled by weight
}			: so NetCon(...,2) gives 2*the current as NetCon(...,1)

	y1 (/ms) 
	y2    			: sum of beta-functions, describing the total conductance

  y1_add = 0
	scale = 0
	spkcnt = 0
	countflag = 0
	t1 = 0
	y1_loc = 0

  SOLVE betadyn METHOD cnexp
	g =  gbar * y2 
  i = scale * g * (v - Erev)

DERIVATIVE betadyn {
  : dynamics of the beta-function, from [2]
  y1' = -y1 / (tau_d/qfact)
  y2' = y1 - y2 / (tau_r/qfact)

NET_RECEIVE( weight, y1_loc (/ms)) {
  : updating the local y1 variable
  y1_loc = y1_loc*exp( -(t - t1) / (tau_d/qfact) )

  : y1_add is dependent on the present value of the local
  : y1 variable, y1_loc
  y1_add = (1 - y1_loc/saturate)

  : update the local y1 variable
  y1_loc = y1_loc + y1_add

  : presynaptic spike is finaly registered
  y1 = y1 + y1_add

  : store the spike time
  t1 = t

	spkcnt = spkcnt + 1

	scale = weight

Author Johan Hake (c) spring 2004
:     Summate input from many presynaptic sources and saturate 
:     each one of them during heavy presynaptic firing

: [1] Destexhe, A., Z. F. Mainen and T. J. Sejnowski (1998)
:     Kinetic models of synaptic transmission
:     In C. Koch and I. Segev (Eds.), Methods in Neuronal Modeling

: [2] Rotter, S. and M. Diesmann (1999) Biol. Cybern. 81, 381-402
:     Exact digital simulation of time-invariant linear systems with application 
:     to neural modeling

Galaretta M, Hestrin S (1997). Properties of GABAA receptors underlying inhibitory
 synaptic currents in neocortical pyramidal neurons. J Neurosci 17(19): 7220-7227.
Czubayko U, Plenz D (2002) Fast synaptic transmission between striatal
spiny projection neurons. Proc Nat Acad Sci USA 99:15764-15769.

Tepper JM, Koos T, Wilson CJ (2004) GABAergic microcircuits in the
neostriatum. Trends Neurosci 27:662-669.

Gutfreund H, Kinetics for the Life Sciences, Cambridge University Press, 1995, pg 234.
(suggested by Ted Carnevale)

Nusser, Z., Hajos, N., Somogyi, P., and Mody, I. (1998). Increased
number of synaptic GABA(A) receptors underlies potentiation at
hippocampal inhibitory synapses. Nature 395, 172-177.