Calcium response prediction in the striatal spines depending on input timing (Nakano et al. 2013)

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Accession:151458
We construct an electric compartment model of the striatal medium spiny neuron with a realistic morphology and predict the calcium responses in the synaptic spines with variable timings of the glutamatergic and dopaminergic inputs and the postsynaptic action potentials. The model was validated by reproducing the responses to current inputs and could predict the electric and calcium responses to glutamatergic inputs and back-propagating action potential in the proximal and distal synaptic spines during up and down states.
Reference:
1 . Nakano T, Yoshimoto J, Doya K (2013) A model-based prediction of the calcium responses in the striatal synaptic spines depending on the timing of cortical and dopaminergic inputs and post-synaptic spikes. Front Comput Neurosci 7:119 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell; Synapse;
Brain Region(s)/Organism:
Cell Type(s): Neostriatum medium spiny direct pathway GABA cell;
Channel(s): I Na,p; I Na,t; I L high threshold; I A; I K; I K,leak; I K,Ca; I CAN; I Sodium; I Calcium; I Potassium; I A, slow; I Krp; I R; I Q; I Na, leak; I Ca,p; Ca pump;
Gap Junctions:
Receptor(s): D1; AMPA; NMDA; Glutamate; Dopaminergic Receptor; IP3;
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Reinforcement Learning; STDP; Calcium dynamics; Reward-modulated STDP;
Implementer(s): Nakano, Takashi [nakano.takashi at gmail.com];
Search NeuronDB for information about:  Neostriatum medium spiny direct pathway GABA cell; D1; AMPA; NMDA; Glutamate; Dopaminergic Receptor; IP3; I Na,p; I Na,t; I L high threshold; I A; I K; I K,leak; I K,Ca; I CAN; I Sodium; I Calcium; I Potassium; I A, slow; I Krp; I R; I Q; I Na, leak; I Ca,p; Ca pump;
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Nakano_FICN_model
stim_files2
tau_tables
readme.html
AMPA.mod
bkkca.mod *
cadyn.mod
caL.mod
caL13.mod
caldyn.mod
can.mod
caq.mod
car.mod *
cat.mod
damsg.mod
ER.mod
GABA.mod *
kaf.mod *
kas.mod *
kir.mod
krp.mod *
MGLU.mod
naf.mod
nap.mod *
NMDA.mod
skkca.mod *
stim.mod *
_control.hoc
_IVsaveplot.hoc
_paper_condition.hoc
_plot_post02.hoc
_plot_pre_spine.hoc
_reset.hoc
_run_me.hoc
_saveIVplot.hoc
_saveplots.hoc
_timed_input_1AP_spine_post.hoc
_timed_input_Glu.hoc
all_tau_vecs.hoc *
baseline_values.txt
basic_procs.hoc
create_mspcells.hoc *
current_clamp.ses
fig4a.png
make_netstims.hoc
mosinit.hoc
msp_template.hoc
nacb_main.hoc
netstims_template.hoc *
posttiming.txt
set_synapse.hoc
set_synapse_caL.hoc
set_synapse_caL13.hoc
set_synapse_can.hoc
set_synapse_caq.hoc
set_synapse_ER.hoc
set_synapse_kir.hoc
set_synapse_naf.hoc
set_synapse_NMDA.hoc
stimxout_jns_sqwave_noinput.dat
synapse_templates.hoc
                            
TITLE    AMPA synapse for nucleus accumbens model
: see comments below

NEURON {
	POINT_PROCESS AMPA
	RANGE gbar, tau_r, tau_d, scale, spkcnt, countflag, i, t1, ca_ratio, ical, itmp, qfact
	NONSPECIFIC_CURRENT i
 	USEION cal WRITE ical VALENCE 2

}

UNITS {
	(nA) = (nanoamp)
	(mV) = (millivolt)
	(umho) = (micromho)
}

PARAMETER {
	gbar = 8.5e-4   (umho) 	: approx 0.5:1 NMDA:AMPA ratio (Myme 2003)
							:   with mg = 0, vh = -70, one pulse, NMDA = 300 pS
							:   here AMPA = 593 pS (NMDA set to Dalby 2003)
	tau_r = 2.2 	(ms)   	: Gotz 1997, Table 1 - rise tau
	tau_d = 11.5  	(ms)   	: Gotz 1997, Table 1 - decay tau
	
	Erev = 0    	(mV)   	: reversal potential, Jahn 1998
	saturate = 1.2 			: causes the conductance to saturate - matched to 
							:    Destexhe's reduced model in [1]
	qfact = 2				: convert 22 degC to 35 degC
	ca_ratio = 0.0005:0.005			: ratio of calcium current to total current
}							: Burnashev/Sakmann J Phys 1995 485:403-418
							: with Carter/Sabatini Neuron 2004 44:483-493


ASSIGNED {
	g (umho)
	v (mV)   		: postsynaptic voltage
	itmp	(nA)	: temp value of current
	i (nA)   		: nonspecific current = g*(v - Erev)
	ical (nA)		: calcium current through AMPA synapse (Carter/Sabatini)
	t1 (ms)
	
	y1_add (/ms)    : value added to y1 when a presynaptic spike is registered
	y1_loc (/ms)

	countflag		: start/stop counting spikes delivered
	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)


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

INITIAL {
  	y1_add = 0
	scale = 0
	spkcnt = 0
	countflag = 0
	t1 = 0
	y1_loc = 0
}

BREAKPOINT {
  	SOLVE betadyn METHOD cnexp
	g = gbar * y2
  	itmp = scale * g * (v - Erev)
  	i = (1-ca_ratio) * itmp
  	ical = ca_ratio * itmp
}

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
}


COMMENT
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



Dalby, N. O., and Mody, I. (2003). Activation of NMDA receptors in rat
dentate gyrus granule cells by spontaneous and evoked transmitter
release. J Neurophysiol 90, 786-797.

Gotz, T., Kraushaar, U., Geiger, J., Lubke, J., Berger, T., and Jonas,
P. (1997). Functional properties of AMPA and NMDA receptors expressed in
identified types of basal ganglia neurons. J Neurosci 17, 204-215.

Jahn K, Bufler J, Franke C (1998) Kinetics of AMPA-type glutamate
receptor channels in rat caudate-putamen neurones show a wide range of
desensitization but distinct recovery characteristics. Eur J Neurosci
10:664-672.

Myme, C. I., Sugino, K., Turrigiano, G. G., and Nelson, S. B. (2003).
The NMDA-to-AMPA ratio at synapses onto layer 2/3 pyramidal neurons is
conserved across prefrontal and visual cortices. J Neurophysiol 90,
771-779.

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


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