Multicompartmental cerebellar granule cell model (Diwakar et al. 2009)

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Accession:116835
A detailed multicompartmental model was used to study neuronal electroresponsiveness of cerebellar granule cells in rats. Here we show that, in cerebellar granule cells, Na+ channels are enriched in the axon, especially in the hillock, but almost absent from soma and dendrites. Numerical simulations indicated that granule cells have a compact electrotonic structure allowing EPSPs to diffuse with little attenuation from dendrites to axon. The spike arose almost simultaneously along the whole axonal ascending branch and invaded the hillock, whose activation promoted spike back-propagation with marginal delay (<200 micros) and attenuation (<20 mV) into the somato-dendritic compartment. For details check the cited article.
Reference:
1 . Diwakar S, Magistretti J, Goldfarb M, Naldi G, D'Angelo E (2009) Axonal Na+ channels ensure fast spike activation and back-propagation in cerebellar granule cells J Neurophysiol 101(2):519-32 [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: Cerebellum;
Cell Type(s): Cerebellum interneuron granule cell;
Channel(s): I A; I M; I h; I K,Ca; I Sodium; I Calcium; I Potassium; I A, slow;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Active Dendrites; Detailed Neuronal Models; Axonal Action Potentials; Action Potentials; Intrinsic plasticity;
Implementer(s): Diwakar, Shyam [shyam at amrita.edu];
Search NeuronDB for information about:  Cerebellum interneuron granule cell; I A; I M; I h; I K,Ca; I Sodium; I Calcium; I Potassium; I A, slow;
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GrC
fig10
readme.html
AmpaCOD.mod *
GRC_CA.mod *
GRC_CALC.mod *
GRC_GABA.mod *
GRC_KA.mod *
GRC_KCA.mod *
GRC_KIR.mod *
GRC_KM.mod *
GRC_KV.mod *
GRC_LKG1.mod *
GRC_LKG2.mod *
GRC_NA.mod *
NmdaS.mod *
Pregen.mod *
ComPanel.hoc
Grc_Cell.hoc
mosinit.hoc
Parametri.hoc
screenshot.jpg
simple.ses
Start.hoc
                            
TITLE Cerebellum Granule Cell Model

COMMENT
        Kir channel
   
	Author: E.D'Angelo, T.Nieus, A. Fontana
	Last revised: 8.10.2000
	Old values:
			gkbar = 0.0003 (mho/cm2) 
			
ENDCOMMENT
 
NEURON { 
	SUFFIX GRC_KIR
	USEION k READ ek WRITE ik 
	RANGE gkbar, ik, g, alpha_d, beta_d 
	RANGE Aalpha_d, Kalpha_d, V0alpha_d
	RANGE Abeta_d, Kbeta_d, V0beta_d
	RANGE d_inf, tau_d 
} 
 
UNITS { 
	(mA) = (milliamp) 
	(mV) = (millivolt) 
} 
 
PARAMETER { 
	Aalpha_d = 0.13289 (/ms)

	:Kalpha_d = -0.041 (/mV)
	Kalpha_d = -24.3902 (mV)

	V0alpha_d = -83.94 (mV)
	Abeta_d = 0.16994 (/ms)

	:Kbeta_d = 0.028 (/mV)
	Kbeta_d = 35.714 (mV)

	V0beta_d = -83.94 (mV)
	v (mV) 
	gkbar = 0.0009 (mho/cm2) 
	ek = -84.69 (mV) 
	celsius = 30 (degC) 
} 

STATE { 
	d 
} 

ASSIGNED { 
	ik (mA/cm2) 
	d_inf 
	tau_d (ms) 
	g (mho/cm2) 
	alpha_d (/ms) 
	beta_d (/ms) 
} 
 
INITIAL { 
	rate(v) 
	d = d_inf 
} 
 
BREAKPOINT { 
	SOLVE states METHOD derivimplicit
	g = gkbar*d   : primo ordine!!!
	ik = g*(v - ek) 
	alpha_d = alp_d(v) 
	beta_d = bet_d(v) 
} 
 
DERIVATIVE states { 
	rate(v) 
	d' =(d_inf - d)/tau_d 
} 
 
FUNCTION alp_d(v(mV))(/ms) { LOCAL Q10
	Q10 = 3^((celsius-20(degC))/10(degC))
	alp_d = Q10*Aalpha_d*exp((v-V0alpha_d)/Kalpha_d) 
} 
 
FUNCTION bet_d(v(mV))(/ms) { LOCAL Q10
	Q10 = 3^((celsius-20(degC))/10(degC))
	bet_d = Q10*Abeta_d*exp((v-V0beta_d)/Kbeta_d) 
} 
 
PROCEDURE rate(v (mV)) {LOCAL a_d, b_d 
	TABLE d_inf, tau_d  
	DEPEND Aalpha_d, Kalpha_d, V0alpha_d, 
	       Abeta_d, Kbeta_d, V0beta_d, celsius FROM -100 TO 30 WITH 13000 
	a_d = alp_d(v)  
	b_d = bet_d(v) 
	tau_d = 1/(a_d + b_d) 
	d_inf = a_d/(a_d + b_d) 
} 


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