Thalamic reticular neurons: the role of Ca currents (Destexhe et al 1996)

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Accession:17663
The experiments and modeling reported in this paper show how intrinsic bursting properties of RE cells may be explained by dendritic calcium currents.
Reference:
1 . Destexhe A, Contreras D, Steriade M, Sejnowski TJ, Huguenard JR (1996) In vivo, in vitro, and computational analysis of dendritic calcium currents in thalamic reticular neurons. J Neurosci 16:169-85 [PubMed]
Citations  Citation Browser
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): Thalamus reticular nucleus cell;
Channel(s): I Na,t; I T low threshold; I K; I Sodium; I Calcium; I Potassium;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Dendritic Action Potentials; Bursting; Simplified Models; Active Dendrites; Influence of Dendritic Geometry; Detailed Neuronal Models; Action Potentials; Calcium dynamics;
Implementer(s): Destexhe, Alain [Destexhe at iaf.cnrs-gif.fr];
Search NeuronDB for information about:  Thalamus reticular nucleus cell; I Na,t; I T low threshold; I K; I Sodium; I Calcium; I Potassium;
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dendre
cells
README
capump.mod *
HH2.mod *
IT2.mod
VClamp.mod *
El.oc *
leak.oc *
loc3.oc *
loc80.oc *
locD.oc *
mosinit.hoc *
re1_cc.oc
re3_cc.oc
re3_vc.oc
re80_cc.oc
re80_vc.oc
reD_cc.oc
reD_vc.oc
rundemo.hoc *
                            
TITLE decay of internal calcium concentration
:
: Internal calcium concentration due to calcium currents and pump.
: Differential equations.
:
: Simple model of ATPase pump with 3 kinetic constants (Destexhe 92)
:     Cai + P <-> CaP -> Cao + P  (k1,k2,k3)
: A Michaelis-Menten approximation is assumed, which reduces the complexity
: of the system to 2 parameters: 
:       kt = <tot enzyme concentration> * k3  -> TIME CONSTANT OF THE PUMP
:	kd = k2/k1 (dissociation constant)    -> EQUILIBRIUM CALCIUM VALUE
: The values of these parameters are chosen assuming a high affinity of 
: the pump to calcium and a low transport capacity (cfr. Blaustein, 
: TINS, 11: 438, 1988, and references therein).  
:
: Units checked using "modlunit" -> factor 10000 needed in ca entry
:
: VERSION OF PUMP + DECAY (decay can be viewed as simplified buffering)
:
: All variables are range variables
:
:
: This mechanism was published in:  Destexhe, A. Babloyantz, A. and 
: Sejnowski, TJ.  Ionic mechanisms for intrinsic slow oscillations in
: thalamic relay neurons. Biophys. J. 65: 1538-1552, 1993)
:
: See also: http://www.cnl.salk.edu/~alain ,  http://cns.fmed.ulaval.ca
:
:
: Written by Alain Destexhe, Salk Institute, Nov 12, 1992
:

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

NEURON {
	SUFFIX cad
	USEION ca READ ica, cai WRITE cai
	RANGE depth,kt,kd,cainf,taur
}

UNITS {
	(molar) = (1/liter)			: moles do not appear in units
	(mM)	= (millimolar)
	(um)	= (micron)
	(mA)	= (milliamp)
	(msM)	= (ms mM)
}

CONSTANT {
	FARADAY = 96489		(coul)		: moles do not appear in units
:	FARADAY = 96.489	(k-coul)	: moles do not appear in units
}

PARAMETER {
	depth	= .1	(um)		: depth of shell
	taur	= 700	(ms)		: rate of calcium removal
	cainf	= 1e-8	(mM)
	kt	= 1	(mM/ms)		: estimated from k3=.5, tot=.001
	kd	= 5e-4	(mM)		: estimated from k2=250, k1=5e5
}

STATE {
	cai		(mM) 
}

INITIAL {
	cai = kd
}

ASSIGNED {
	ica		(mA/cm2)
	drive_channel	(mM/ms)
	drive_pump	(mM/ms)
}
	
BREAKPOINT {
	SOLVE state METHOD derivimplicit
}

DERIVATIVE state { 

	drive_channel =  - (10000) * ica / (2 * FARADAY * depth)

	if (drive_channel <= 0.) { drive_channel = 0. }	: cannot pump inward

:	drive_pump = -tot * k3 * cai / (cai + ((k2+k3)/k1) )	: quasistat
	drive_pump = -kt * cai / (cai + kd )		: Michaelis-Menten

	cai' = drive_channel + drive_pump + (cainf-cai)/taur
}