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
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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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  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.


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Access SBML model  L3V1

FunctionDefinitions [4] 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

Parameters [20] name constant value unit derived unit sbo cvterm
z z = 0.1 0.1 None
y y = 1.4 1.4 None
v0 v0 = 1.0 1.0 None
v1 v1 = 7.3 7.3 None
vm2 vm2 = 65 65.0 None
vm3 vm3 = 500 500.0 None
kr kr = 2 2.0 None
ka ka = 0.9 0.9 None
k2 k2 = 1 1.0 None
kf kf = 1 1.0 None
k k = 10 10.0 None
n n = 2 2.0 None
m m = 2 2.0 None
p p = 4 4.0 None
tstim tstim = 4.0 4.0 None
beta 0.0 dimensionless None
v2 0.0 dimensionless None
v3 0.0 dimensionless None
b 0.0 dimensionless None
t model time 0.0 dimensionless None

Rules [7]   assignment name derived units sbo cvterm
d z/dt = v0 v1 beta v2 v3 kf y k z None
d y/dt = v2 v3 kf y None
beta = 0 t tstim 0.7671 0.2 t tstim None
v2 = vm2 z n k2 n z n None
v3 = vm3 y m kr m y m z p ka p z p None
b = beta None
t = time None