/*******Cerebellar Golgi Cell Model with Na+/K+ ATPase**********
Developers: Fabio M Simoes de Souza & E De Schutter
Work Progress: July 2009 - Dec 2009
Developed At: Okinawa Institute of Science and Technology
Computational Neuroscience Unit
Okinawa - Japan
Model Published in:
Botta P, Simoes de Souza F, Sangrey T, De Schutter E, Valenzuela F (2010)
Alcohol excites cerebellar Golgi cells by inhibiting the Na+/K+ ATPase.
Neuropsychopharmacology 35: 1984-1996.
This script is a modification from a previous published GoC model (Solinas et al., 2007).
A Na+/K+ ATPase and ionic concentration pools for Na+, K+, Ca2+ were incorporated into the soma of the model.
The equations that simulated the Na+/K+ ATPase are described in Table S10 of Takeuchi et al. (2006)
References:
Sergio M. Solinas, Lia Forti, Elisabetta Cesana, Jonathan Mapelli, Erik De Schutter and Egidio D`Angelo (2008) Computational reconstruction of pacemaking and intrinsic electroresponsiveness in cerebellar golgi cells. Frontiers in Cellular Neuroscience 1:1-12.
Takeuchi A, Tatsumi S, Sarai N, Terashima K, Matsuoka S, Noma A (2006) Ionic mechanisms of cardiac cell swelling induced by blocking Na+/K+ pump as revealed by experiments and simulation. J. G. Physiol. 128: 495-507.
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// In this configuration the ion channels
// were not corrected for the Liquid Junction potential.
// The ion reversal potential were corrected in agreement
// with the voltage shift.
// See Table 1 Solinas et al. 2008 Frontiers Neurosci 2:2
begintemplate Goc
public soma,axon,elec,seal,dend
public SpikeTrain, RT_Vm, EL_Vm
public exc, inh, synapses
create soma
create axon
create elec,seal
create dend[3]
objref SpikeTrain, netcon, nil
objref exc[78], inh[27], synapses
objref RT_Vm, EL_Vm
proc init() {
RT_Vm = new Vector()
EL_Vm = new Vector()
create soma
soma {
nseg = 1
diam = 27 // 22 pF Dieudonne98
L = 27
Ra = 100 // From Roth&Hausser2000
celsius = 23
insert Golgi_lkg
insert Golgi_Na
insert Golgi_NaR
insert Golgi_NaP
insert Golgi_Ca_HVA
insert Golgi_Ca_LVA
insert Golgi_KV
insert Golgi_KM
insert Golgi_KA
insert Golgi_BK
insert Golgi_SK2
insert Golgi_hcn1
insert Golgi_hcn2
insert Golgi_CALC
insert Golgi_CALC_ca2
usetable_Golgi_LVA = 1
usetable_Golgi_HVA = 1
usetable_Golgi_KA = 1
usetable_Golgi_KV = 1
usetable_Golgi_NaR = 1
usetable_Golgi_KM = 1
usetable_Golgi_Na = 1
usetable_Golgi_NaP = 1
cai0_ca_ion = 50e-6
ca2i0_ca2_ion = cai0_ca_ion
cai = cai0_ca_ion
ca2i = cai
ca2o = cao
cai0_Golgi_CALC = cai0_ca_ion
ca2i0_Golgi_CALC_ca2 = cai0_ca_ion
ena=87.39
ek=-84.69
//el_Golgi_lkg=-41
//NaKPump Model
insert nakpump
inakmax_nakpump=5
//ouabain_nakpump=0.0001 //Vanzuela: 0.1uM ouabain= 0.0001 mM
ouabain_nakpump=0 // 0 mM
insert na_conc
nai0_na_ion = 5
nai = nai0_na_ion
nai0_na_conc = nai0_na_ion
beta_na_conc=0.075
insert k_conc
ki0_k_ion = 140
ki = ki0_k_ion
ki0_k_conc = ki0_k_ion
beta_k_conc=0.075
//Ionic Concentrations for a typical Mammalian cell (Johnston and Wu)
nao_nakpump=145
ko_nakpump=5
Nai_inf_nakpump=5
Ki_inf_nakpump=140
ATPi_nakpump=5 // 0 mM
//nao=440e-3 (mol)
//ko=20e-3 (mol)
//Nai_inf=50e-3 (mol)
//Ki_inf=400e-3 (mol)
SpikeTrain = new Vector()
netcon = new NetCon(&v(0.5),nil)
netcon.threshold=-20
netcon.record(SpikeTrain)
RT_Vm.record(&v(0.5))
}
create dend[3]
for i=0,2 {
dend[i] {
nseg = 10
diam = 3
L = 113
Ra = 100
celsius = 23
insert Golgi_lkg
for k=0, 25 {
exc[(i*26)+k] = new Synapse(0.5)
}
for k=0, 8 {
inh[(i*9)+k] = new Synapse(0.5)
inh[(i*9)+k].Erev = -60
}
}
connect dend[i](0), soma(1)
}
create axon
axon {
nseg = 100
diam = 2.4 // gives 90 pF to get to the 145 pF Forti06
L = 1200
Ra = 100
celsius = 23
insert Golgi_lkg
}
connect axon(0), soma(0)
create elec,seal
elec {
nseg = 1
diam = 3
L = 1000
Ra = 36
cm = 0.0015
celsius = 23
EL_Vm.record(&v(0.5))
}
seal {
nseg = 1
diam = 3
L = 1
Ra = 1
cm = 0.0001
celsius = 23
}
connect seal(1), soma(1)
connect elec(1), seal(0)
}
endtemplate Goc