State and location dependence of action potential metabolic cost (Hallermann et al., 2012)

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Accession:144526
With this model of a layer 5 pyramidal neuron the state and location dependence of the ATP usage and the metabolic efficiency of action potentials can be analyzed. Model parameters were constrained by direct subcellular recordings at dendritic, somatic and axonal compartments.
Reference:
1 . Hallermann S, de Kock CP, Stuart GJ, Kole MH (2012) State and location dependence of action potential metabolic cost in cortical pyramidal neurons Nat Neurosci. 15(7):1007-14 [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: Neocortex;
Cell Type(s): Neocortex V1 pyramidal corticothalamic L6 cell;
Channel(s): I Na,t; I K;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Action Potentials;
Implementer(s): Hallermann, Stefan [hallermann at medizin.uni-leipzig.de]; Kole, Maarten [m.kole at nin.knaw.nl];
Search NeuronDB for information about:  Neocortex V1 pyramidal corticothalamic L6 cell; I Na,t; I K;
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HallermannEtAl2012
readme.txt *
Cad.mod *
CaH.mod *
CaT.mod *
charge.mod *
h.mod *
Kca.mod *
Kv.mod *
Kv1_axonal.mod *
Kv7.mod *
na8st.mod
nax8st.mod
28_04_10_num19.hoc *
all_28_04_10_num19.ses *
Cell parameters.hoc
charge.hoc *
mosinit.hoc *
                            
COMMENT

kca.mod

Calcium-dependent potassium channel
Based on
Pennefather (1990) -- sympathetic ganglion cells
taken from
Reuveni et al (1993) -- neocortical cells

Author: Zach Mainen, Salk Institute, 1995, zach@salk.edu

Kole: the caix increased from 1 -> 4, Ra 0.01 to 0.05 and Rb 0.02 to 0.1, according to Schaefer et al, 2003 to allow BAC firing
	
ENDCOMMENT

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

NEURON {
	SUFFIX kca
	USEION k READ ek WRITE ik
	USEION ca READ cai
	RANGE n, gkca, ikca, gbar
	RANGE ninf, ntau
	GLOBAL Ra, Rb, caix
	GLOBAL q10, temp, tadj, vmin, vmax
}

UNITS {
	(mA) = (milliamp)
	(mV) = (millivolt)
	(pS) = (picosiemens)
	(um) = (micron)
} 

PARAMETER {
	gbar = 10   	(pS/um2)	: 0.03 mho/cm2
	v 		(mV)
	cai  		(mM)
	caix = 4	
									
	Ra   = 0.05	(/ms)		: max act rate  
	Rb   = 0.1	(/ms)		: max deact rate 

	dt		(ms)
	celsius		(degC)
	temp = 23	(degC)		: original temp 	
	q10  = 2.3			: temperature sensitivity

	vmin = -120	(mV)
	vmax = 100	(mV)
} 


ASSIGNED {
	a		(/ms)
	b		(/ms)
	ik 		(mA/cm2)
	ikca 		(mA/cm2)
	gkca		(pS/um2)
	ek		(mV)
	ninf
	ntau 		(ms)	
	tadj
}
 

STATE { n }

INITIAL { 
	rates(cai)
	n = ninf
}

BREAKPOINT {
        SOLVE states METHOD cnexp
	gkca =gbar*n
	ikca = (1e-4) * gkca * (v - ek)
	ik = ikca
} 

LOCAL nexp

DERIVATIVE states {   :Computes state variable n 
        rates(cai)      :             at the current v and dt.
        n' =  (ninf-n)/ntau

}

PROCEDURE rates(cai(mM)) {  

        

        a = Ra * cai^caix
        b = Rb

        tadj = q10^((celsius - temp)/10)

        ntau = 1/tadj/(a+b)
	ninf = a/(a+b)

 
:        tinc = -dt * tadj
:        nexp = 1 - exp(tinc/ntau)
}













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