XPP model
This model was converted from XPP ode format to SBML using sbmlutils-0.1.5a6
.
# Allosteric model for large-conductance calcium-activated potassium channel
# Horrigan, Cui, Aldrich, J Gen Physiol 1999;114:277-304.
# Scheme IX
# Constant:
R=8.14
Fara=96.485
Temp=310
# Initial values
ini c0=1, c1=0, c2=0, c3=0, c4=0, o0=0, o1=0, o2=0, o3=0, o4=0
# Values of the model parameters
par a_0=.257, b_0=7.129, d0_0=.00384e-3, d1_0=.0653e-3, d2_0=1.11e-3, d3_0=6.99e-3, d4_0=44.0e-3
par r0_0=1.923, r1_0=1.923, r2_0=1.923, r3_0=.712, r4_0=.294
par ko=140
par ki=140
par vhold=0, vtest=220
par za=.275, zb=-.275 , zd=.262, zr=-.138, D=17
par scale=5
par GKbar=0.200
par ton=5, toff=35
v=vhold+heav(t-ton)*heav(toff-t)*(vtest-vhold)
# Expressions:
Ek=((R*Temp)/F)*ln(ko/ki)
a=a_0*exp((v)*(za*Fara/(R*Temp)))
b=b_0*exp((v)*(zb*Fara/(R*Temp)))
d0=d0_0*exp((v)*(zd*Fara/(R*Temp)))
d1=d1_0*exp((v)*(zd*Fara/(R*Temp)))
d2=d2_0*exp((v)*(zd*Fara/(R*Temp)))
d3=d3_0*exp((v)*(zd*Fara/(R*Temp)))
d4=d4_0*exp((v)*(zd*Fara/(R*Temp)))
r0=r0_0*exp((v)*(zr*Fara/(R*Temp)))
r1=r1_0*exp((v)*(zr*Fara/(R*Temp)))
r2=r2_0*exp((v)*(zr*Fara/(R*Temp)))
r3=r3_0*exp((v)*(zr*Fara/(R*Temp)))
r4=r4_0*exp((v)*(zr*Fara/(R*Temp)))
f=17^0.5
# Gating functions
c0'=c1*b+o0*r0-c0*(4*a+d0)
c1'=c0*4*a+c2*2*b+o1*r1-c1*(b+3*a+d1)
c2'=c1*3*a+c3*3*b+o2*r2-c2*(2*b+2*a+d2)
c3'=c2*2*a+c4*4*b+o3*r3-c3*(3*b+a+d3)
c4'=c3*a+o4*r4-c4*(4*b+d4)
o0'=o1*4*b/f+c0*d0-o0*(4*a*f+r0)
o1'=o0*4*a*f+o2*2*b/f+c1*d1-o1*(b/f+3*a*f+r1)
o2'=o1*3*a*f+o3*3*b/f+c2*d2-o2*(2*b/f+2*a*f+r2)
o3'=o2*2*a*f+o4*4*b/f+c3*d3-o3*(3*b/f+a*f+r3)
o4'=o3*a*f+c4*d4-o4*(4*b/f+r4)
aux ik=Gkbar*(o0+o1+o2+o3+o4)/(c0+c1+c2+c3+c4+o0+o1+o2+o3+o4)*(v-Ek)/scale
@ meth=Euler, dt=.01, total=50
@ yp=ik, yhi=15, ylo=-3, xlo=0, xhi=50, 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 [55]
name
constant
value
unit
derived unit
sbo
cvterm
Parameter
c0
c0 = 1
F
1.0
None
Parameter
c1
c1 = 0
F
0.0
None
Parameter
c2
c2 = 0
F
0.0
None
Parameter
c3
c3 = 0
F
0.0
None
Parameter
c4
c4 = 0
F
0.0
None
Parameter
o0
o0 = 0
F
0.0
None
Parameter
o1
o1 = 0
F
0.0
None
Parameter
o2
o2 = 0
F
0.0
None
Parameter
o3
o3 = 0
F
0.0
None
Parameter
o4
o4 = 0
F
0.0
None
Parameter
a_0
a_0 = .257
F
0.257
None
Parameter
b_0
b_0 = 7.129
F
7.129
None
Parameter
d0_0
d0_0 = .00384e-3
F
3.84e-06
None
Parameter
d1_0
d1_0 = .0653e-3
F
6.53e-05
None
Parameter
d2_0
d2_0 = 1.11e-3
F
0.00111
None
Parameter
d3_0
d3_0 = 6.99e-3
F
0.00699
None
Parameter
d4_0
d4_0 = 44.0e-3
F
0.044
None
Parameter
r0_0
r0_0 = 1.923
F
1.923
None
Parameter
r1_0
r1_0 = 1.923
F
1.923
None
Parameter
r2_0
r2_0 = 1.923
F
1.923
None
Parameter
r3_0
r3_0 = .712
F
0.712
None
Parameter
r4_0
r4_0 = .294
F
0.294
None
Parameter
ko
ko = 140
F
140.0
None
Parameter
ki
ki = 140
F
140.0
None
Parameter
vhold
vhold = 0
F
0.0
None
Parameter
vtest
vtest = 220
F
220.0
None
Parameter
za
za = .275
F
0.275
None
Parameter
zb
zb = -.275
F
-0.275
None
Parameter
zd
zd = .262
F
0.262
None
Parameter
zr
zr = -.138
F
-0.138
None
Parameter
d
d = 17
F
17.0
None
Parameter
scale
scale = 5
F
5.0
None
Parameter
gkbar
gkbar = 0.200
F
0.2
None
Parameter
ton
ton = 5
F
5.0
None
Parameter
toff
toff = 35
F
35.0
None
Parameter
r
F
0.0
dimensionless
None
Parameter
fara
F
0.0
dimensionless
None
Parameter
temp
F
0.0
dimensionless
None
Parameter
v
F
0.0
dimensionless
None
Parameter
ek
F
0.0
dimensionless
None
Parameter
a
F
0.0
dimensionless
None
Parameter
b
F
0.0
dimensionless
None
Parameter
d0
F
0.0
dimensionless
None
Parameter
d1
F
0.0
dimensionless
None
Parameter
d2
F
0.0
dimensionless
None
Parameter
d3
F
0.0
dimensionless
None
Parameter
d4
F
0.0
dimensionless
None
Parameter
r0
F
0.0
dimensionless
None
Parameter
r1
F
0.0
dimensionless
None
Parameter
r2
F
0.0
dimensionless
None
Parameter
r3
F
0.0
dimensionless
None
Parameter
r4
F
0.0
dimensionless
None
Parameter
f
F
0.0
dimensionless
None
Parameter
ik
F
0.0
dimensionless
None
Parameter
t
model time
F
0.0
dimensionless
None
type
Rules [30]
assignment
name
derived units
sbo
cvterm
Rule
d c0/dt
=
c1
b
o0
r0
c0
4
a
d0
None
Rule
d c1/dt
=
c0
4
a
c2
2
b
o1
r1
c1
b
3
a
d1
None
Rule
d c2/dt
=
c1
3
a
c3
3
b
o2
r2
c2
2
b
2
a
d2
None
Rule
d c3/dt
=
c2
2
a
c4
4
b
o3
r3
c3
3
b
a
d3
None
Rule
d c4/dt
=
c3
a
o4
r4
c4
4
b
d4
None
Rule
d o0/dt
=
o1
4
b
f
c0
d0
o0
4
a
f
r0
None
Rule
d o1/dt
=
o0
4
a
f
o2
2
b
f
c1
d1
o1
b
f
3
a
f
r1
None
Rule
d o2/dt
=
o1
3
a
f
o3
3
b
f
c2
d2
o2
2
b
f
2
a
f
r2
None
Rule
d o3/dt
=
o2
2
a
f
o4
4
b
f
c3
d3
o3
3
b
f
a
f
r3
None
Rule
d o4/dt
=
o3
a
f
c4
d4
o4
4
b
f
r4
None
Rule
r
=
8.14
None
Rule
fara
=
96.485
None
Rule
temp
=
310
None
Rule
v
=
vhold
heav
t
ton
heav
toff
t
vtest
vhold
None
Rule
ek
=
r
temp
f
ko
ki
None
Rule
a
=
a_0
v
za
fara
r
temp
None
Rule
b
=
b_0
v
zb
fara
r
temp
None
Rule
d0
=
d0_0
v
zd
fara
r
temp
None
Rule
d1
=
d1_0
v
zd
fara
r
temp
None
Rule
d2
=
d2_0
v
zd
fara
r
temp
None
Rule
d3
=
d3_0
v
zd
fara
r
temp
None
Rule
d4
=
d4_0
v
zd
fara
r
temp
None
Rule
r0
=
r0_0
v
zr
fara
r
temp
None
Rule
r1
=
r1_0
v
zr
fara
r
temp
None
Rule
r2
=
r2_0
v
zr
fara
r
temp
None
Rule
r3
=
r3_0
v
zr
fara
r
temp
None
Rule
r4
=
r4_0
v
zr
fara
r
temp
None
Rule
f
=
17
0.5
None
Rule
ik
=
gkbar
o0
o1
o2
o3
o4
c0
c1
c2
c3
c4
o0
o1
o2
o3
o4
v
ek
scale
None
Rule
t
=
time
None