XPP model

This model was converted from XPP ode format to SBML using sbmlutils-0.1.5a6.

# $Id: booth_bose.ode,v 1.29 2004/02/09 21:41:46 billl Exp $
## booth_bose.ode
## Pinsky-Rinzel pyramidal cell
## |||#|||
# parameter values
par ip0=0.75
# par gLs=0.1  gLd=0.1  gNa=0  gKdr=0  gCa=0  gKahp=0  gKC=0
par gLs=0.1  gLd=0.1  gNa=30  gKdr=15  gCa=10  gKahp=0.8  gKC=15  
par VNa=60  VCa=80  VK=-75  VL=-60  Vsyn=0  
par gc=2.1 pp=0.5  Cm=3  
par alphac=2 betac=0.1
# output cols are t, ODEs, AUXs in order, here:
# t vs vd cad hs ns sd cd qd gqk gkc 
Vs'=(-gLs*(Vs-VL)-gNa*(Minfs(Vs)^2)*hs*(Vs-VNa)-gKdr*ns*(Vs-VK)+(gc/pp)*(Vd-Vs)+Ip0/pp)/Cm
Vd'=(-gLd*(Vd-VL)-ICad-gKahp*qd*(Vd-VK)-gKC*cd*chid*(Vd-VK)+(gc*(Vs-Vd))/(1.0-pp))/Cm
Cad'=  -0.13*ICad-0.075*Cad
hs'=  alphahs(Vs)-(alphahs(Vs)+betahs(Vs))*hs
ns'=  alphans(Vs)-(alphans(Vs)+betans(Vs))*ns
sd'=  alphasd(Vd)-(alphasd(Vd)+betasd(Vd))*sd
cd'=  alphacd(Vd)-(alphacd(Vd)+betacd(Vd))*cd
qd'=  alphaqd-(alphaqd+betaqd)*qd
# pyramidal cell functions
ICad=     gCa*sd*sd*(Vd-VCa)
alphams(v)=  0.32*(-46.9-v)/(exp((-46.9-v)/4.0)-1.0)
betams(v)=   0.28*(v+19.9)/(exp((v+19.9)/5.0)-1.0)
Minfs(v)=    alphams(v)/(alphams(v)+betams(v))
alphans(v)=  0.016*(-24.9-v)/(exp((-24.9-v)/5.0)-1.0)
betans(v)=   0.25*exp(-1.0-0.025*v)
alphahs(v)=  0.128*exp((-43.0-v)/18.0)
betahs(v)=   4.0/(1.0+exp((-20.0-v)/5.0))
alphasd(v)=  1.6/(1.0+exp(-0.072*(v-5.0)))
betasd(v)=   0.02*(v+8.9)/(exp((v+8.9)/5.0)-1.0)
alphacd(v)=(1.0-heav(v+10.0))*exp((v+50.0)/11-(v+53.5)/27)/18.975+heav(v+10.0)*2.0*exp((-53.5-v)/27.0) 
betacd(v)=   (1.0-heav(v+10.0))*(2.0*exp((-53.5-v)/27.0)-alphacd(v))
alphaqd=  min(0.00002*Cad,0.01)
betaqd=   0.001
chid=     min(Cad/250.0,1.0)
# auxiliary eqns
# aux sdc =  (gc/pp)*(Vd-Vs)
# aux ICa = ICad
aux gkq = gKahp*qd
aux gkc = gKC*cd*chid
# initial conditions
init Vs=-60 Vd=-60
# integrator params
@ maxstor=80000,total=1.5e3,bound=10000,xlo=0,xhi=1.5e3,ylo=-100,yhi=30
@ meth=cvode,atol=0.0001,toler=0.0001,dt=0.3
done
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Copyright © 2017 Matthias Koenig

Redistribution and use of any part of this model, with or without modification, are permitted provided that the following conditions are met:

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This model is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.


Model :

id
name
time
substance
extent
volume
area
length
Access SBML model  L3V1

FunctionDefinitions [15] name math sbo cvterm
max minimum x y x x y y
min maximum x y x x y y
heav heavyside x 0 x 0 0.5 x 0 1 x 0 0
mod modulo x y x y x y x 0 y 0 x y x y
alphams v 0.32 46.9 v 46.9 v 4 1
betams v 0.28 v 19.9 v 19.9 5 1
minfs v alphams v alphams v betams v
alphans v 0.016 24.9 v 24.9 v 5 1
betans v 0.25 1 0.025 v
alphahs v 0.128 43 v 18
betahs v 4 1 20 v 5
alphasd v 1.6 1 0.072 v 5
betasd v 0.02 v 8.9 v 8.9 5 1
alphacd v 1 heav v 10 v 50 11 v 53.5 27 18.975 heav v 10 2 53.5 v 27
betacd v 1 heav v 10 2 53.5 v 27 alphacd v

Parameters [32] name constant value unit derived unit sbo cvterm
ip0 ip0 = 0.75 0.75 None
gls gls = 0.1 0.1 None
gld gld = 0.1 0.1 None
gna gna = 30 30.0 None
gkdr gkdr = 15 15.0 None
gca gca = 10 10.0 None
gkahp gkahp = 0.8 0.8 None
gkc gkc = 15 15.0 None
vna vna = 60 60.0 None
vca vca = 80 80.0 None
vk vk = -75 -75.0 None
vl vl = -60 -60.0 None
vsyn vsyn = 0 0.0 None
gc gc = 2.1 2.1 None
pp pp = 0.5 0.5 None
cm cm = 3 3.0 None
alphac alphac = 2 2.0 None
betac betac = 0.1 0.1 None
vs vs = -60 -60.0 None
vd vd = -60 -60.0 None
cad 0.0 dimensionless None
hs 0.0 dimensionless None
ns 0.0 dimensionless None
sd 0.0 dimensionless None
cd 0.0 dimensionless None
qd 0.0 dimensionless None
icad 0.0 dimensionless None
alphaqd 0.0 dimensionless None
betaqd 0.0 dimensionless None
chid 0.0 dimensionless None
gkq 0.0 dimensionless None
t model time 0.0 dimensionless None

Rules [15]   assignment name derived units sbo cvterm
d vs/dt = gls vs vl gna minfs vs 2 hs vs vna gkdr ns vs vk gc pp vd vs ip0 pp cm None
d vd/dt = gld vd vl icad gkahp qd vd vk gkc cd chid vd vk gc vs vd 1 pp cm None
d cad/dt = 0.13 icad 0.075 cad None
d hs/dt = alphahs vs alphahs vs betahs vs hs None
d ns/dt = alphans vs alphans vs betans vs ns None
d sd/dt = alphasd vd alphasd vd betasd vd sd None
d cd/dt = alphacd vd alphacd vd betacd vd cd None
d qd/dt = alphaqd alphaqd betaqd qd None
icad = gca sd sd vd vca None
alphaqd = min 2 -5 cad 0.01 None
betaqd = 0.001 None
chid = min cad 250 1 None
gkq = gkahp qd None
gkc = gkc cd chid None
t = time None