CA1 pyramidal neuron: as a 2-layer NN and subthreshold synaptic summation (Poirazi et al 2003)

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Accession:20212
We developed a CA1 pyramidal cell model calibrated with a broad spectrum of in vitro data. Using simultaneous dendritic and somatic recordings, and combining results for two different response measures (peak vs. mean EPSP), two different stimulus formats (single shock vs. 50 Hz trains), and two different spatial integration conditions (within vs. between-branch summation), we found the cell's subthreshold responses to paired inputs are best described as a sum of nonlinear subunit responses, where the subunits correspond to different dendritic branches. In addition to suggesting a new type of experiment and providing testable predictions, our model shows how conclusions regarding synaptic arithmetic can be influenced by an array of seemingly innocuous experimental design choices.
References:
1 . Poirazi P, Brannon T, Mel BW (2003a) Arithmetic of subthreshold synaptic summation in a model CA1 pyramidal cell. Neuron 37:977-987 [PubMed]
2 . Poirazi P, Brannon T, Mel BW (2003b) Pyramidal Neuron as Two-Layer Neural Network. Neuron 37:989-999 [PubMed]
3 . Poirazi P, Brannon T, Mel BW (2003ab-sup) Online Supplement: About the Model Neuron 37 Online:1-20
4 . Polsky A, Mel BW, Schiller J (2004) Computational subunits in thin dendrites of pyramidal cells. Nat Neurosci 7:621-7 [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:
Cell Type(s): Hippocampus CA1 pyramidal cell;
Channel(s): I Na,p; I Na,t; I L high threshold; I T low threshold; I A; I K; I M; I h; I K,Ca; I Calcium;
Gap Junctions:
Receptor(s): GabaA; GabaB; NMDA; Glutamate;
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Action Potential Initiation; Activity Patterns; Dendritic Action Potentials; Active Dendrites; Influence of Dendritic Geometry; Detailed Neuronal Models; Action Potentials; Depression; Delay;
Implementer(s): Poirazi, Panayiota [poirazi at imbb.forth.gr];
Search NeuronDB for information about:  Hippocampus CA1 pyramidal cell; GabaA; GabaB; NMDA; Glutamate; I Na,p; I Na,t; I L high threshold; I T low threshold; I A; I K; I M; I h; I K,Ca; I Calcium;
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CA1_multi
mechanism
not-currently-used
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VClamp.omod *
                            
TITLE K-A channel from Klee Ficker and Heinemann
: modified to account for Dax A Current ----------
: M.Migliore Jun 1997
: modified by Poirazi on 10/2/00 according to Hoffman_etal97 
: to account for I_A distal (>100microns)
: (n) activation, (l) inactivation


UNITS {
	(mA) = (milliamp)
	(mV) = (millivolt)
}

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

PARAMETER {
        dt (ms)
	v (mV)
        ek (mV)              : must be explicitely def. in hoc
	gkabar=0.018 (mho/cm2)
        vhalfn= -1   (mV)
        vhalfl=-56   (mV)
}

NEURON {
	SUFFIX kad
	USEION k READ ek WRITE ik
        RANGE gkabar,gka
        GLOBAL ninf,linf,taul,taun
}

STATE {
	n
        l
}

ASSIGNED {
	ik (mA/cm2)
        ninf
        linf
        taul
        taun
        gka
}

INITIAL {
	rates(v)
	n=ninf
	l=linf
	gka = gkabar*n^4*l
	ik = gka*(v-ek)
}

BREAKPOINT {
	SOLVE states
	gka = gkabar*n^4*l
	ik = gka*(v-ek)
}

FUNCTION alpn(v(mV)) {
  alpn = -0.01*(v+34.4)/(exp((v+34.4)/-21)-1)
}


FUNCTION betn(v(mV)) {
  betn = 0.01*(v+34.4)/(exp((v+34.4)/21)-1)
}

FUNCTION alpl(v(mV)) {
  alpl = -0.01*(v+58)/(exp((v+58)/8.2)-1)
}

FUNCTION betl(v(mV)) {
  betl = 0.01*(v+58)/(exp((v+58)/-8.2)-1)
}

LOCAL facn,facl
PROCEDURE states() {     : exact when v held constant; integrates over dt step
        rates(v)
        n = n + facn*(ninf - n)
        l = l + facl*(linf - l)
        VERBATIM
        return 0;
        ENDVERBATIM
}

PROCEDURE rates(v (mV)) { :callable from hoc
        LOCAL a,b
        a = alpn(v)
        b = betn(v)
        ninf = a/(a + b)
        taun = 0.2
        facn = (1 - exp(-dt/taun))
        a = alpl(v)
        b = betl(v)
        linf = a/(a + b)
        
        if (v > -20) {
	   taul = 5 + 2.6*(v+20)/10
        } else {
	   taul = 5
        }
        facl = (1 - exp(-dt/taul))
}

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