Purkinje cell: Synaptic activation predicts voltage control of burst-pause (Masoli & D'Angelo 2017)

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Accession:239421
"The dendritic processing in cerebellar Purkinje cells (PCs), which integrate synaptic inputs coming from hundreds of thousands granule cells and molecular layer interneurons, is still unclear. Here we have tested a leading hypothesis maintaining that the significant PC output code is represented by burst-pause responses (BPRs), by simulating PC responses in a biophysically detailed model that allowed to systematically explore a broad range of input patterns. BPRs were generated by input bursts and were more prominent in Zebrin positive than Zebrin negative (Z+ and Z-) PCs. Different combinations of parallel fiber and molecular layer interneuron synapses explained type I, II and III responses observed in vivo. BPRs were generated intrinsically by Ca-dependent K channel activation in the somato-dendritic compartment and the pause was reinforced by molecular layer interneuron inhibition. BPRs faithfully reported the duration and intensity of synaptic inputs, such that synaptic conductance tuned the number of spikes and release probability tuned their regularity in the millisecond range. ..."
Reference:
1 . Masoli S, D'Angelo E (2017) Synaptic Activation of a Detailed Purkinje Cell Model Predicts Voltage-Dependent Control of Burst-Pause Responses in Active Dendrites. Front Cell Neurosci 11:278 [PubMed]
Model Information (Click on a link to find other models with that property)
Model Type: Realistic Network; Synapse;
Brain Region(s)/Organism: Cerebellum;
Cell Type(s): Cerebellum Purkinje GABA cell;
Channel(s): I Potassium; I K,Ca;
Gap Junctions:
Receptor(s):
Gene(s):
Transmitter(s):
Simulation Environment: NEURON;
Model Concept(s): Detailed Neuronal Models; Bursting;
Implementer(s): Masoli, Stefano [stefano.masoli at unipv.it];
Search NeuronDB for information about:  Cerebellum Purkinje GABA cell; I K,Ca; I Potassium;
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Purkinjecell_2017
mod_files
Cav2_1.mod *
Cav3_1.mod *
Cav3_2.mod *
Cav3_3.mod *
cdp5.mod *
HCN1_Angeloetal2007.mod *
Kca11.mod *
Kca22.mod *
Kca31.mod *
Kir23.mod *
Kv11.mod *
Kv15.mod *
Kv33.mod *
Kv34.mod *
Kv43.mod *
Leak.mod *
Nav16.mod *
PC_Gaba_det_vi_alfa1.mod
PURKINJE_Ampa_det_vi.mod
UBC_TRP.mod
                            
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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