XPP model

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

% Ca-Oscil-Astrocyte.ode
% Ref: Laventovich and Hemkin, A mathematical model of spontaneous calcium(II)  oscillations 
% in astrocytes.  J Theor Biol 2008; 251(4):553-60.

% Units: microM/sec; microM; sec
% x: cytosolic Ca; y: Ca concencentration in ER; z: IP3 concentration

init x=0.1, y=1.5, z=0.1

parm vm2=15, vm3=40, vin=0.05, vp=0.05, k2=0.1
parm kcaa=0.15, kcat=0.15, kip3=0.1, kp=0.3
parm kdeg=0.08, kout=0.5, kf=0.5, n=2.02, m=2.2

vserca=vm2*(x^2/(x^2+k2^2))
vplc=vp*(x^2/(x^2+kp^2))
vcicr=4*vm3*((kcaa^n)*(x^n)/((x^n+kcaa^n)*(x^n+kcat^n)))*(z^m/(z^m+kip3^m))*(y-x)

dx/dt=vin-kout*x+vcicr-vserca+kf*(y-x)
dy/dt=vserca-vcicr-kf*(y-x)
dz/dt=vplc-kdeg*z

@ meth=Euler, dt=0.01, total=600
@ yp=x, ylo=0, yhi=0.7, xlo=0, xhi=600, bound=10000

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 [21] name constant value unit derived unit sbo cvterm
x x = 0.1 0.1 None
y y = 1.5 1.5 None
z z = 0.1 0.1 None
vm2 vm2 = 15 15.0 None
vm3 vm3 = 40 40.0 None
vin vin = 0.05 0.05 None
vp vp = 0.05 0.05 None
k2 k2 = 0.1 0.1 None
kcaa kcaa = 0.15 0.15 None
kcat kcat = 0.15 0.15 None
kip3 kip3 = 0.1 0.1 None
kp kp = 0.3 0.3 None
kdeg kdeg = 0.08 0.08 None
kout kout = 0.5 0.5 None
kf kf = 0.5 0.5 None
n n = 2.02 2.02 None
m m = 2.2 2.2 None
vserca 0.0 dimensionless None
vplc 0.0 dimensionless None
vcicr 0.0 dimensionless None
t model time 0.0 dimensionless None

Rules [7]   assignment name derived units sbo cvterm
d x/dt = vin kout x vcicr vserca kf y x None
d y/dt = vserca vcicr kf y x None
d z/dt = vplc kdeg z None
vserca = vm2 x 2 x 2 k2 2 None
vplc = vp x 2 x 2 kp 2 None
vcicr = 4 vm3 kcaa n x n x n kcaa n x n kcat n z m z m kip3 m y x None
t = time None