XPP model

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

# wilson-cowan
f(u)=1/(1+exp(-u))
par aee=10,aie=8,aei=12,aii=3,ze=.2,zi=4
par tau=1
i_e(t)=ie0+ie1*sin(w*t)
i_i(t)=ii0+ii1*sin(w*t)
par ie0=0,ie1=0,w=.25
par ii0=0,ii1=0
init u=.1,v=.05
u'=-u+f(aee*u-aie*v-ze+i_e(t))
v'=(-v+f(aei*u-aii*v-zi+i_i(t)))/tau
@ total=40
@ xp=u,yp=v,xlo=-.1,xhi=1,ylo=-.1,yhi=1
done
This file has been produced by sbmlutils.

Terms of use

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:

  1. Redistributions of this SBML file must retain the above copyright notice, this list of conditions and the following disclaimer.
  2. Redistributions in a different form must reproduce the above copyright notice, this list of conditions and the following disclaimer in the documentation and/or other materials provided with the distribution.
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 [7] 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
f u 1 1 u
i_e t ie0 ie1 w ie0 ie1 w t
i_i t ii0 ii1 w ii0 ii1 w t

Parameters [15] name constant value unit derived unit sbo cvterm
aee aee = 10 10.0 None
aie aie = 8 8.0 None
aei aei = 12 12.0 None
aii aii = 3 3.0 None
ze ze = .2 0.2 None
zi zi = 4 4.0 None
tau tau = 1 1.0 None
ie0 ie0 = 0 0.0 None
ie1 ie1 = 0 0.0 None
w w = .25 0.25 None
ii0 ii0 = 0 0.0 None
ii1 ii1 = 0 0.0 None
u u = .1 0.1 None
v v = .05 0.05 None
t model time 0.0 dimensionless None

Rules [3]   assignment name derived units sbo cvterm
d u/dt = u f aee u aie v ze i_e t ie0 ie1 w None
d v/dt = v f aei u aii v zi i_i t ii0 ii1 w tau None
t = time None