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_KCa 
	USEION k READ ek WRITE ik 
	USEION ca READ cai
	RANGE gkbar, ik, ica, g, alpha_c, beta_c
	RANGE Aalpha_c, Balpha_c, Kalpha_c
	RANGE Abeta_c, Bbeta_c, Kbeta_c 
	RANGE c_inf, tau_c 
} 
 
UNITS { 
	(mA) = (milliamp) 
	(mV) = (millivolt) 
	(molar) = (1/liter)
	(mM) = (millimolar)
} 
 
PARAMETER { 
	Aalpha_c = 2.5 (/ms)
	Balpha_c = 1.5e-3 (mM)

	:Kalpha_c = -0.085 (/mV)
	Kalpha_c =  -11.765 (mV)

	Abeta_c = 1.5 (/ms)
	Bbeta_c = 0.15e-3 (mM)

	:Kbeta_c = -0.085 (/mV)
	Kbeta_c = -11.765 (mV)

	v (mV) 
	cai (mM)
	gkbar= 0.004 (mho/cm2) 
	ek = -84.69 (mV) 
	celsius = 30 (degC) 
} 

STATE { 
	c 
} 

ASSIGNED { 
	ik (mA/cm2) 
	ica (mA/cm2)

	c_inf 
	tau_c (ms) 
	g (mho/cm2) 
	alpha_c (/ms) 
	beta_c (/ms) 
} 
 
INITIAL { 
	rate(v) 
	c = c_inf 
} 
 
BREAKPOINT { 
	SOLVE states METHOD derivimplicit 
	g = gkbar*c 
	ik = g*(v - ek) 
	alpha_c = alp_c(v) 
	beta_c = bet_c(v) 
} 
 
DERIVATIVE states { 
	rate(v) 
	c' =(c_inf - c)/tau_c 
} 
 
FUNCTION alp_c(v(mV))(/ms) { LOCAL Q10
	Q10 = 3^((celsius-30(degC))/10(degC))
	alp_c = Q10*Aalpha_c/(1+(Balpha_c*exp(v/Kalpha_c)/cai)) 
} 
 
FUNCTION bet_c(v(mV))(/ms) { LOCAL Q10
	Q10 = 3^((celsius-30(degC))/10(degC))
	bet_c = Q10*Abeta_c/(1+cai/(Bbeta_c*exp(v/Kbeta_c))) 
} 
 
PROCEDURE rate(v (mV)) {LOCAL a_c, b_c 
	TABLE c_inf, tau_c 
	DEPEND Aalpha_c, Balpha_c, Kalpha_c, 
	       Abeta_c, Bbeta_c, Kbeta_c, celsius FROM -100 TO 100 WITH 200 
	a_c = alp_c(v)  
	b_c = bet_c(v) 
	tau_c = 1/(a_c + b_c) 
	c_inf = a_c/(a_c + b_c) 
}