Bursting and resonance in cerebellar granule cells (D'Angelo et al. 2001)

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Accession:46839
In this study we report theta-frequency (3-12 Hz) bursting and resonance in rat cerebellar granule cells and show that these neurons express a previously unidentified slow repolarizing K1 current (IK-slow ). Our experimental and modeling results indicate that IK-slow was necessary for both bursting and resonance. See paper for more.
Reference:
1 . D'Angelo E, Nieus T, Maffei A, Armano S, Rossi P, Taglietti V, Fontana A, Naldi G (2001) Theta-frequency bursting and resonance in cerebellar granule cells: experimental evidence and modeling of a slow k+-dependent mechanism. J Neurosci 21:759-70 [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:
Cell Type(s): Cerebellum interneuron granule GLU cell;
Channel(s): I A; I K; I h; I Calcium; I A, slow;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Bursting; Ion Channel Kinetics; Oscillations;
Implementer(s): D'Angelo, Egidio [dangelo at unipv.it];
Search NeuronDB for information about:  Cerebellum interneuron granule GLU cell; I A; I K; I h; I Calcium; I A, slow;
TITLE Cerebellum Granule Cell Model

COMMENT
	Reference: Theta-Frequency Bursting and Resonance in Cerebellar Granule Cells:Experimental
	Evidence and Modeling of a Slow K+-Dependent Mechanism
	Egidio D'Angelo,Thierry Nieus,Arianna Maffei,Simona Armano,Paola Rossi,Vanni Taglietti,
	Andrea Fontana and Giovanni Naldi
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 = -24.3902 (mV)

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

	
	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   
	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 100 WITH 200 
	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) 
}