Mechanisms of fast rhythmic bursting in a layer 2/3 cortical neuron (Traub et al 2003)

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Accession:20756
This simulation is based on the reference paper listed below. This port was made by Roger D Traub and Maciej T Lazarewicz (mlazarew at seas.upenn.edu) Thanks to Ashlen P Reid for help with porting a morphology of the cell.
Reference:
1 . Traub RD, Buhl EH, Gloveli T, Whittington MA (2003) Fast rhythmic bursting can be induced in layer 2/3 cortical neurons by enhancing persistent Na+ conductance or by blocking BK channels. J Neurophysiol 89:909-21 [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): Neocortex L2/3 pyramidal GLU cell;
Channel(s): I Na,p; I Na,t; I L high threshold; I T low threshold; I A; I K; I h; I K,Ca; I Sodium; I Calcium; I Potassium;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Dendritic Action Potentials; Bursting; Active Dendrites; Detailed Neuronal Models; Axonal Action Potentials; Calcium dynamics;
Implementer(s): Lazarewicz, Maciej [mlazarew at gmu.edu]; Traub, Roger D [rtraub at us.ibm.com];
Search NeuronDB for information about:  Neocortex L2/3 pyramidal GLU cell; I Na,p; I Na,t; I L high threshold; I T low threshold; I A; I K; I h; I K,Ca; I Sodium; I Calcium; I Potassium;
TITLE Potasium C type current for RD Traub, J Neurophysiol 89:909-921, 2003

COMMENT

	Implemented by Maciej Lazarewicz 2003 (mlazarew@seas.upenn.edu)

ENDCOMMENT

INDEPENDENT { t FROM 0 TO 1 WITH 1 (ms) }

UNITS { 
	(mV) = (millivolt) 
	(mA) = (milliamp) 
}
 
NEURON { 
	SUFFIX kc
	USEION k READ ek WRITE ik
	USEION ca READ cai
	RANGE  gbar, ik
}

PARAMETER { 
	gbar = 0.0 	(mho/cm2)
	v ek 		(mV)  
	cai		(1)
} 

ASSIGNED { 
	ik 		(mA/cm2) 
	alpha beta	(/ms)
}
 
STATE {
	m
}

BREAKPOINT { 
	SOLVE states METHOD cnexp
	if( 0.004 * cai < 1 ) {
		ik = gbar * m * 0.004 * cai * ( v - ek ) 
	}else{
		ik = gbar * m * ( v - ek ) 
	}
}
 
INITIAL { 
	settables(v) 
	m = alpha / ( alpha + beta )
	m = 0
}
 
DERIVATIVE states { 
	settables(v) 
	m' = alpha * ( 1 - m ) - beta * m 
}

UNITSOFF 

PROCEDURE settables(v) { 
	TABLE alpha, beta FROM -120 TO 40 WITH 641

	if( v < -10.0 ) {
		alpha = 2 / 37.95 * ( exp( ( v + 50 ) / 11 - ( v + 53.5 ) / 27 ) )

		: Note that there is typo in the paper - missing minus sign in the front of 'v'
		beta  = 2 * exp( ( - v - 53.5 ) / 27 ) - alpha
	}else{
		alpha = 2 * exp( ( - v - 53.5 ) / 27 )
		beta  = 0
	}
}

UNITSON