Dentate Gyrus Feed-forward inhibition (Ferrante et al. 2009)

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Accession:124291
In this paper, the model was used to show how that FFI can change a steeply sigmoidal input-output (I/O) curve into a double-sigmoid typical of buffer systems.
Reference:
1 . Ferrante M, Migliore M, Ascoli GA (2009) Feed-forward inhibition as a buffer of the neuronal input-output relation PNAS 106(42):18004-18009
Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network; Neuron or other electrically excitable cell;
Brain Region(s)/Organism: Dentate gyrus;
Cell Type(s): Dentate gyrus granule cell; Dentate gyrus MOPP cell;
Channel(s): I Na,t; I A; I K;
Gap Junctions:
Receptor(s): GabaA; AMPA; NMDA;
Gene(s):
Transmitter(s): Gaba; Glutamate;
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Activity Patterns; Ion Channel Kinetics; Synchronization; Spatio-temporal Activity Patterns; Action Potentials; Noise Sensitivity;
Implementer(s): Migliore, Michele [Michele.Migliore at Yale.edu]; Ferrante, Michele [mferr133 at bu.edu]; Ascoli, Giorgio A [ascoli at gmu.edu];
Search NeuronDB for information about:  Dentate gyrus granule cell; GabaA; AMPA; NMDA; I Na,t; I A; I K; Gaba; Glutamate;
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FFI
MOPP_Fig_1B_left
ichan2.mod *
kaprox.mod
kdrca1.mod
na3n.mod
Fig_1B_left.hoc
fixnseg.hoc *
mosinit.hoc
n257-noaxon.hoc
                            
TITLE ichan2.mod  
 
COMMENT
konduktivitas valtozas hatasa- somaban 
ENDCOMMENT
 
UNITS {
        (mA) =(milliamp)
        (mV) =(millivolt)
        (uF) = (microfarad)
	(molar) = (1/liter)
	(nA) = (nanoamp)
	(mM) = (millimolar)
	(um) = (micron)
	FARADAY = 96520 (coul)
	R = 8.3134	(joule/degC)
}
 
? interface 
NEURON { 
SUFFIX ichan2 
USEION nat READ enat WRITE inat VALENCE 1
USEION kf READ ekf WRITE ikf  VALENCE 1
USEION ks READ eks WRITE iks  VALENCE 1
NONSPECIFIC_CURRENT il 
RANGE  gnat, gkf, gks
RANGE gnatbar, gkfbar, gksbar
RANGE gl, el
RANGE minf, mtau, hinf, htau, nfinf, nftau, inat, ikf, nsinf, nstau, iks
}
 
INDEPENDENT {t FROM 0 TO 100 WITH 100 (ms)}
 
PARAMETER {
        v (mV) 
        celsius = 6.3 (degC)
        dt (ms) 
        enat  (mV)
	gnatbar (mho/cm2)   
        ekf  (mV)
	gkfbar (mho/cm2)
        eks  (mV)
	gksbar (mho/cm2)
	gl (mho/cm2)    
 	el (mV)
}
 
STATE {
	m h nf ns
}
 
ASSIGNED {
         
        gnat (mho/cm2) 
        gkf (mho/cm2)
        gks (mho/cm2)

        inat (mA/cm2)
        ikf (mA/cm2)
        iks (mA/cm2)


	il (mA/cm2)

	minf hinf nfinf nsinf
 	mtau (ms) htau (ms) nftau (ms) nstau (ms)
	mexp hexp nfexp nsexp
} 

? currents
BREAKPOINT {
	SOLVE states
        gnat = gnatbar*m*m*m*h  
        inat = gnat*(v - enat)
        gkf = gkfbar*nf*nf*nf*nf
        ikf = gkf*(v-ekf)
        gks = gksbar*ns*ns*ns*ns
        iks = gks*(v-eks)

	il = gl*(v-el)
}
 
UNITSOFF
 
INITIAL {
	trates(v)
	
	m = minf
	h = hinf
      nf = nfinf
      ns = nsinf
	
	VERBATIM
	return 0;
	ENDVERBATIM
}

? states
PROCEDURE states() {	:Computes state variables m, h, and n 
        trates(v)	:      at the current v and dt.
        m = m + mexp*(minf-m)
        h = h + hexp*(hinf-h)
        nf = nf + nfexp*(nfinf-nf)
        ns = ns + nsexp*(nsinf-ns)
        VERBATIM
        return 0;
        ENDVERBATIM
}
 
LOCAL q10

? rates
PROCEDURE rates(v) {  :Computes rate and other constants at current v.
                      :Call once from HOC to initialize inf at resting v.
        LOCAL  alpha, beta, sum
       q10 = 3^((celsius - 6.3)/10)
                :"m" sodium activation system - act and inact cross at -40
	alpha = -0.3*vtrap((v+60-17),-5)
	beta = 0.3*vtrap((v+60-45),5)
	sum = alpha+beta        
	mtau = 1/sum      minf = alpha/sum
                :"h" sodium inactivation system
	alpha = 0.23/exp((v+60+5)/20)
	beta = 3.33/(1+exp((v+60-47.5)/-10))
	sum = alpha+beta
	htau = 1/sum 
        hinf = alpha/sum 
             :"ns" sKDR activation system
        alpha = -0.028*vtrap((v+65-35),-6)
	beta = 0.1056/exp((v+65-10)/40)
	sum = alpha+beta        
	nstau = 1/sum      nsinf = alpha/sum
            :"nf" fKDR activation system
        alpha = -0.07*vtrap((v+65-47),-6)
	beta = 0.264/exp((v+65-22)/40)
	sum = alpha+beta        
	nftau = 1/sum      nfinf = alpha/sum
	
}
 
PROCEDURE trates(v) {  :Computes rate and other constants at current v.
                      :Call once from HOC to initialize inf at resting v.
	LOCAL tinc
        TABLE minf, mexp, hinf, hexp, nfinf, nfexp, nsinf, nsexp, mtau, htau, nftau, nstau
	DEPEND dt, celsius FROM -100 TO 100 WITH 200
                           
	rates(v)	: not consistently executed from here if usetable_hh == 1
		: so don't expect the tau values to be tracking along with
		: the inf values in hoc

	       tinc = -dt * q10
        mexp = 1 - exp(tinc/mtau)
        hexp = 1 - exp(tinc/htau)
	nfexp = 1 - exp(tinc/nftau)
	nsexp = 1 - exp(tinc/nstau)
}
 
FUNCTION vtrap(x,y) {  :Traps for 0 in denominator of rate eqns.
        if (fabs(x/y) < 1e-6) {
                vtrap = y*(1 - x/y/2)
        }else{  
                vtrap = x/(exp(x/y) - 1)
        }
}
 
UNITSON


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