A detailed Purkinje cell model (Masoli et al 2015)

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Accession:229585
The Purkinje cell is one of the most complex type of neuron in the central nervous system and is well known for its massive dendritic tree. The initiation of the action potential was theorized to be due to the high calcium channels presence in the dendritic tree but, in the last years, this idea was revised. In fact, the Axon Initial Segment, the first section of the axon was seen to be critical for the spontaneous generation of action potentials. The model reproduces the behaviours linked to the presence of this fundamental sections and the interplay with the other parts of the neuron.
Reference:
1 . Masoli S, Solinas S, D'Angelo E (2015) Action potential processing in a detailed Purkinje cell model reveals a critical role for axonal compartmentalization. Front Cell Neurosci 9:47 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Neuron or other electrically excitable cell; Axon;
Brain Region(s)/Organism: Cerebellum;
Cell Type(s): Cerebellum Purkinje GABA cell;
Channel(s): I Sodium; I Calcium; I Na,t; I K;
Gap Junctions:
Receptor(s):
Gene(s): Cav2.1 CACNA1A; Cav3.1 CACNA1G; Cav3.2 CACNA1H; Cav3.3 CACNA1I; Nav1.6 SCN8A; Kv1.1 KCNA1; Kv1.5 KCNA5; Kv3.3 KCNC3; Kv3.4 KCNC4; Kv4.3 KCND3; KCa1.1 KCNMA1; KCa2.2 KCNN2; KCa3.1 KCNN4; Kir2.1 KCNJ2; HCN1;
Transmitter(s):
Simulation Environment: NEURON; Python;
Model Concept(s): Bursting; Detailed Neuronal Models; Action Potentials; Action Potential Initiation; Axonal Action Potentials;
Implementer(s): Masoli, Stefano [stefano.masoli at unipv.it]; Solinas, Sergio [solinas at unipv.it];
Search NeuronDB for information about:  Cerebellum Purkinje GABA cell; I Na,t; I K; I Sodium; I Calcium;
TITLE CaV 3.3 CA3 hippocampal neuron

COMMENT
    Cell model: CA3 hippocampal neuron
    
    Created by jun xu @ Clancy Lab of Cornell University Medical College on 3/27/05
    
    Geometry: single-compartment model modified on 04/19/07 
    Xu J, Clancy CE (2008) Ionic mechanisms of endogenous bursting in CA3 hippocampal pyramidal neurons: 
        a model study. PLoS ONE 3:e2056- [PubMed]

ENDCOMMENT 
 
 
 NEURON	{
        : CaT--alpha 1I CaV3.3
	SUFFIX Cav3_3
	USEION ca READ cai, cao WRITE ica
	RANGE gCav3_3bar, pcabar, ica, tau_l, tau_n, n_inf, l_inf
}

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

PARAMETER	{
    gCav3_3bar = 0.00001 (S/cm2)
    vhalfn = -41.5  :mv
    vhalfl = -69.8
    kn = 6.2
    kl = -6.1
    q10 = 2.3
    pcabar = 0.0001 : cm/s to check!!!
    z= 2
    F = 96520 : Farady constant (coulomb/mol)
    R = 8.3134 : gas constant (J/K.mol)
    PI = 3.14    
}

ASSIGNED	{
	v	(mV)
	ica	(mA/cm2)
	gCav3_3	(S/cm2)
	n_inf
	tau_n
	l_inf
	tau_l
	cai     (mM)
	cao     (mM)
	qt 
	T  : absolute temperature (K)
	ghk
	w
}

STATE	{ 
	n
	l
}

BREAKPOINT	{
    SOLVE states METHOD cnexp
    ica = gCav3_3bar*pcabar*n*n*l*ghk
}

DERIVATIVE states	{
	rates()
	n' = (n_inf-n)/tau_n
	l' = (l_inf-l)/tau_l
    }
    
INITIAL{
	T = celsius+273.14
	qt = pow(q10,(celsius-28)/10)
	rates()
	n = n_inf
	l = l_inf
}

PROCEDURE rates(){
	n_inf = 1/(1+exp(-(v-vhalfn)/kn))
	l_inf = 1/(1+exp(-(v-vhalfl)/kl))
	
        if (v > -60) {
            tau_n = (7.2+0.02*exp(-v/14.7))/qt
	    tau_l = (79.5+2.0*exp(-v/9.3))/qt
        }else{
            tau_n = (0.875*exp((v+120)/41))/qt
	    tau_l = 260/qt
        }
	
      w = v*0.001*z*F/(R*T)
      ghk = -0.001*z*F*(cao-cai*exp(w))*w/(exp(w)-1)	
}

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