Parametric computation and persistent gamma in a cortical model (Chambers et al. 2012)

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Accession:144579
Using the Traub et al (2005) model of the cortex we determined how 33 synaptic strength parameters control gamma oscillations. We used fractional factorial design to reduce the number of runs required to 4096. We found an expected multiplicative interaction between parameters.
Reference:
1 . Chambers JD, Bethwaite B, Diamond NT, Peachey T, Abramson D, Petrou S, Thomas EA (2012) Parametric computation predicts a multiplicative interaction between synaptic strength parameters that control gamma oscillations. Front Comput Neurosci 6:53 [PubMed]
Citations  Citation Browser
Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network; Axon; Synapse; Channel/Receptor; Dendrite;
Brain Region(s)/Organism:
Cell Type(s): Neocortex V1 L6 pyramidal corticothalamic GLU cell; Neocortex V1 L2/6 pyramidal intratelencephalic GLU cell; Neocortex V1 interneuron basket PV GABA cell; Neocortex fast spiking (FS) interneuron; Neocortex spiny stellate cell; Neocortex spiking regular (RS) neuron; Neocortex spiking low threshold (LTS) neuron;
Channel(s): I A; I K; I K,leak; I K,Ca; I Calcium; I_K,Na;
Gap Junctions: Gap junctions;
Receptor(s): GabaA; AMPA; NMDA;
Gene(s):
Transmitter(s): Gaba; Glutamate;
Simulation Environment: NEURON;
Model Concept(s): Oscillations; Parameter sensitivity;
Implementer(s): Thomas, Evan [evan at evan-thomas.net]; Chambers, Jordan [jordandchambers at gmail.com];
Search NeuronDB for information about:  Neocortex V1 L6 pyramidal corticothalamic GLU cell; Neocortex V1 L2/6 pyramidal intratelencephalic GLU cell; Neocortex V1 interneuron basket PV GABA cell; GabaA; AMPA; NMDA; I A; I K; I K,leak; I K,Ca; I Calcium; I_K,Na; Gaba; Glutamate;
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FRBGamma
mod
alphasyndiffeq.mod *
alphasynkin.mod *
alphasynkint.mod *
ampa.mod *
ar.mod *
cad.mod *
cal.mod *
cat.mod *
cat_a.mod *
gabaa.mod *
iclamp_const.mod *
k2.mod *
ka.mod *
ka_ib.mod *
kahp.mod *
kahp_deeppyr.mod *
kahp_slower.mod *
kc.mod *
kc_fast.mod *
kdr.mod *
kdr_fs.mod *
km.mod *
naf.mod
naf_tcr.mod *
naf2.mod
nap.mod
napf.mod *
napf_spinstell.mod *
napf_tcr.mod *
par_ggap.mod *
pulsesyn.mod *
rampsyn.mod *
rand.mod *
ri.mod
traub_nmda.mod *
                            
TITLE Second Sodium transient current for Traub RD et al 2005

COMMENT
	This sodium current was present in Gabaergic interneurons and spiny stellate
	cells in the Traub et al 2005 model: deepaxax, deepbask, deepLTS, spinstell,
	supaxax, supbask, supLTS, nRT
	Tom Morse 3/8/2006
	Modified from the
	Implementation of naf by Maciej Lazarewicz 2003 (mlazarew@seas.upenn.edu)
	made for RD Traub, J Neurophysiol 89:909-921, 2003
ENDCOMMENT

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

UNITS { 
	(mV) = (millivolt) 
	(mA) = (milliamp) 
} 
NEURON { 
	SUFFIX naf2
	USEION na READ ena WRITE ina
	RANGE gbar, ina,m, h, df, fastNa_shift, a, b, c, d, minf, mtau
}
PARAMETER { 
	fastNa_shift = -3.5 (mV): 0 : orig -3.5 (mV)
	a = 0 (1)
	b = 0 (1)
	c = 0 (1)
	d = 0 (1)
	gbar = 0.0 	   (mho/cm2)
	v (mV) ena 		   (mV)  
} 
ASSIGNED { 
	ina 		   (mA/cm2) 
	minf hinf 	   (1)
	mtau (ms) htau 	   (ms)
	df	(mV)
} 
STATE {
	m h
}
BREAKPOINT { 
	SOLVE states METHOD cnexp
	ina = gbar * m * m * m * h * ( v - ena ) 
	df = v - ena
} 
INITIAL { 
	settables( v )
	m = minf
	m = 0
	h  = hinf
} 
DERIVATIVE states { 
	settables( v ) 
	m' = ( minf - m ) / mtau 
	h' = ( hinf - h ) / htau
}

UNITSOFF 

PROCEDURE settables(v1(mV)) {

	TABLE minf, hinf, mtau, htau  FROM -120 TO 40 WITH 641

	minf  = 1 / ( 1 + exp( ( - ( v1 + fastNa_shift ) - 38 ) / 10 ) )
	if( ( v1 + fastNa_shift ) < -30.0 ) {
		mtau = 0.0125 + 0.1525 * exp( ( ( v1 + fastNa_shift ) + 30 ) / 10 )
	} else{
		mtau = 0.02 + a + (0.145+ b) * exp( ( - ( v1 + fastNa_shift +d ) - 30 ) / (10+c) ) 
	}

	: hinf, and htau are shifted 3.5 mV comparing to the paper

	hinf  = 1 / ( 1 + exp( ( ( v1 + fastNa_shift * 0 ) + 58.3 ) / 6.7 ) )
	htau = 0.225 + 1.125 / ( 1 + exp( ( ( v1 + fastNa_shift * 0 ) + 37 ) / 15 ) )
}

UNITSON