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
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 [21]
name
constant
value
unit
derived unit
sbo
cvterm
Parameter
x
x = 0.1
F
0.1
None
Parameter
y
y = 1.5
F
1.5
None
Parameter
z
z = 0.1
F
0.1
None
Parameter
vm2
vm2 = 15
F
15.0
None
Parameter
vm3
vm3 = 40
F
40.0
None
Parameter
vin
vin = 0.05
F
0.05
None
Parameter
vp
vp = 0.05
F
0.05
None
Parameter
k2
k2 = 0.1
F
0.1
None
Parameter
kcaa
kcaa = 0.15
F
0.15
None
Parameter
kcat
kcat = 0.15
F
0.15
None
Parameter
kip3
kip3 = 0.1
F
0.1
None
Parameter
kp
kp = 0.3
F
0.3
None
Parameter
kdeg
kdeg = 0.08
F
0.08
None
Parameter
kout
kout = 0.5
F
0.5
None
Parameter
kf
kf = 0.5
F
0.5
None
Parameter
n
n = 2.02
F
2.02
None
Parameter
m
m = 2.2
F
2.2
None
Parameter
vserca
F
0.0
dimensionless
None
Parameter
vplc
F
0.0
dimensionless
None
Parameter
vcicr
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 x/dt
=
vin
kout
x
vcicr
vserca
kf
y
x
None
Rule
d y/dt
=
vserca
vcicr
kf
y
x
None
Rule
d z/dt
=
vplc
kdeg
z
None
Rule
vserca
=
vm2
x
2
x
2
k2
2
None
Rule
vplc
=
vp
x
2
x
2
kp
2
None
Rule
vcicr
=
4
vm3
kcaa
n
x
n
x
n
kcaa
n
x
n
kcat
n
z
m
z
m
kip3
m
y
x
None
Rule
t
=
time
None