XPP model
This model was converted from XPP ode format to SBML using sbmlutils-0.1.5a6
.
% Signal-induced Ca(2+) oscillations
% Dupont G, Berridge MJ, Goldbeter A. Signal-induced Ca(2+) oscillations: properties of a model based
% on Ca(2+)-induced Ca(2+) release. Cell calcium 1991;12:73-85
% The result was shown on Figure 4A in the paper.
init z=0.1, y=1.4
par v0=1.0, v1=7.3, VM2=65, VM3=500, KR=2, KA=0.9, K2=1, kf=1, k=10, n=2, m=2, p=4
par tstim=4.0
beta=if(t<tstim)then(0)else(0.7671*exp(-0.2*(t-tstim)))
v2 = VM2 * z^n / (K2^n + z^n)
v3 = VM3 * (y^m/(KR^m + y^m)) *(z^p/(KA^p + z^p))
z' = v0 + v1*beta -v2 + v3 + kf*y - k*z
y' = v2 -v3 - kf*y
aux b=beta
% Numerical and plotting parameters for xpp
@ meth=Euler, dt=.005, total=20
@ yp=z, yhi=1.6, ylo=-0.0, xlo=0, xhi=20, bound=100
done
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:
Redistributions of this SBML file must retain the above copyright notice, this list of conditions
and the following disclaimer.
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
L3V1
type
FunctionDefinitions [4]
name
math
sbo
cvterm
FunctionDefinition
max
minimum
x
y
x
x
y
y
FunctionDefinition
min
maximum
x
y
x
x
y
y
FunctionDefinition
heav
heavyside
x
0
x
0
0.5
x
0
1
x
0
0
FunctionDefinition
mod
modulo
x
y
x
y
x
y
x
0
y
0
x
y
x
y
type
Parameters [20]
name
constant
value
unit
derived unit
sbo
cvterm
Parameter
z
z = 0.1
F
0.1
None
Parameter
y
y = 1.4
F
1.4
None
Parameter
v0
v0 = 1.0
F
1.0
None
Parameter
v1
v1 = 7.3
F
7.3
None
Parameter
vm2
vm2 = 65
F
65.0
None
Parameter
vm3
vm3 = 500
F
500.0
None
Parameter
kr
kr = 2
F
2.0
None
Parameter
ka
ka = 0.9
F
0.9
None
Parameter
k2
k2 = 1
F
1.0
None
Parameter
kf
kf = 1
F
1.0
None
Parameter
k
k = 10
F
10.0
None
Parameter
n
n = 2
F
2.0
None
Parameter
m
m = 2
F
2.0
None
Parameter
p
p = 4
F
4.0
None
Parameter
tstim
tstim = 4.0
F
4.0
None
Parameter
beta
F
0.0
dimensionless
None
Parameter
v2
F
0.0
dimensionless
None
Parameter
v3
F
0.0
dimensionless
None
Parameter
b
F
0.0
dimensionless
None
Parameter
t
model time
F
0.0
dimensionless
None
type
Rules [7]
assignment
name
derived units
sbo
cvterm
Rule
d z/dt
=
v0
v1
beta
v2
v3
kf
y
k
z
None
Rule
d y/dt
=
v2
v3
kf
y
None
Rule
beta
=
0
t
tstim
0.7671
0.2
t
tstim
None
Rule
v2
=
vm2
z
n
k2
n
z
n
None
Rule
v3
=
vm3
y
m
kr
m
y
m
z
p
ka
p
z
p
None
Rule
b
=
beta
None
Rule
t
=
time
None