XPP model
This model was converted from XPP ode format to SBML using sbmlutils-0.1.5a6
.
# Markovian model for Human I(Ks) in heart cells which is responsible for cardiac repolarization # Mutations in this channel will be susceptible to induction of early after-depolarizations # Silva J, Rudy Y. Circulation 2005;112:1384-1391 # Constants Rk=8314 Fara=96485 Temp=310 # Initial values init c1=1, c2=0, c3=0, c4=0, c5=0, c6=0, c7=0 init c8=0, c9=0, c10=0, c11=0, c12=0, c13=0, c14=0, c15=0 init o1=0, o2=0 # Values of the model parameters par ko=4.5, ki=136.89149 par nao=140, nai=15 par vhold=-80, vtest_1=40, vtest_2=-50 par cai=7.9e-5 par scale=120 # Voltage clamp protocols par ton=100, toff=4100, toff_r=5000 v = vhold+heav(t-ton)*heav(toff-t)*(vtest_1-vhold)+heav(t-toff)*heav(toff_r-t)*(vtest_2-vhold) # Expressions Eks = ((Rk*Temp)/Fara)*log((ko+0.01833*nao)/(ki+0.01833*nai)) gksbar = 0.779*(1+0.6/(1+(3.8e-5/cai)^1.4)) a = 3.98e-4*exp(3.61e-1*v*Fara/(Rk*Temp)) b = 5.74e-5*exp(-9.23e-2*v*Fara/(Rk*Temp)) r = 3.41e-3*exp(8.68e-1*v*Fara/(Rk*Temp)) d = 1.2e-3*exp(-3.3e-1*v*Fara/(Rk*Temp)) theta = 6.47e-3 eta = 1.25e-2*exp(-4.81e-1*v*Fara/(Rk*Temp)) psi = 6.33e-3*exp(1.27*v*Fara/(Rk*Temp)) omega = 4.91e-3*exp(-6.79e-1*Fara/(Rk*Temp)) # Gating functions c1' = c2*b - c1*4*a c2' = c1*4*a + c3*2*b + c6*d - c2*(b + 3*a + r) c3' = c2*3*a +c4*3*b + c7*d - c3*(2*b + a + 2*r) c4' = c3*2*a + c5*4*b + c8*d - c4*(3*b + a + 3*r) c5' = c4*a + c9*d - c5*(4*b + 4*r) c6' = c2*r + c7*2*b - c6*(d + 3*a) c7' = c6*3*a + c8* 3*b + c3*2*r + c10*2*d- c7*(2*b + 2*a + d + r) c8' = c7*2*a + c9*4*b + c4*3*r + c11*2*d - c8*(3*b + a + d + 2*r) c9' = c8*a + c5*4*r + c12*2*d - c9*(4*b + d + 3*r) c10' = c11*3*b + c7*r - c10*(2*a + 2*d) c11' = c10*2*a + c12*4*b + c8*2*r + c13*3*d - c11*(3*b + a + 2*d + r) c12' = c11*a + c9**3*r + c14*3*d - c12*(4*b + 2*d + 3*d) c13' = c14*4*b + c11*r - c13*(a + 3*d) c14' = c13*a + c12*2*r + c15*4*d - c14*(4*b + 3*d + r) c15' = c14*r + o1*eta - c15*(4*d + theta) o1' = c15*theta + o2*omega - o1*(eta + psi) o2' = o1*psi - o2*omega aux iks = Gksbar*(o1+o2)/(c1+c2+c3+c4+c5+c6+c7+c8+c9+c10+c11+c12+c13+c14+c15+o1+o2)*(v-Eks)/scale @ meth=Euler, dt=.5, total=4550 @ yp=iks, yhi=1.1, ylo=-.1, xlo=0, xhi=4550 done
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Copyright © 2017 Matthias Koenig
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Model :
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type | FunctionDefinitions [4] | name | math | sbo | cvterm |
---|---|---|---|---|---|
FunctionDefinition | max
|
minimum | |||
FunctionDefinition | min
|
maximum | |||
FunctionDefinition | heav
|
heavyside | |||
FunctionDefinition | mod
|
modulo |
type | Parameters [45] | name | constant | value | unit | derived unit | sbo | cvterm |
---|---|---|---|---|---|---|---|---|
Parameter | c1
|
c1 = 1 | F | 1.0 | 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 | c5
|
c5 = 0 | F | 0.0 | None | |||
Parameter | c6
|
c6 = 0 | F | 0.0 | None | |||
Parameter | c7
|
c7 = 0 | F | 0.0 | None | |||
Parameter | c8
|
c8 = 0 | F | 0.0 | None | |||
Parameter | c9
|
c9 = 0 | F | 0.0 | None | |||
Parameter | c10
|
c10 = 0 | F | 0.0 | None | |||
Parameter | c11
|
c11 = 0 | F | 0.0 | None | |||
Parameter | c12
|
c12 = 0 | F | 0.0 | None | |||
Parameter | c13
|
c13 = 0 | F | 0.0 | None | |||
Parameter | c14
|
c14 = 0 | F | 0.0 | None | |||
Parameter | c15
|
c15 = 0 | F | 0.0 | None | |||
Parameter | o1
|
o1 = 0 | F | 0.0 | None | |||
Parameter | o2
|
o2 = 0 | F | 0.0 | None | |||
Parameter | ko
|
ko = 4.5 | F | 4.5 | None | |||
Parameter | ki
|
ki = 136.89149 | F | 136.89149 | None | |||
Parameter | nao
|
nao = 140 | F | 140.0 | None | |||
Parameter | nai
|
nai = 15 | F | 15.0 | None | |||
Parameter | vhold
|
vhold = -80 | F | -80.0 | None | |||
Parameter | vtest_1
|
vtest_1 = 40 | F | 40.0 | None | |||
Parameter | vtest_2
|
vtest_2 = -50 | F | -50.0 | None | |||
Parameter | cai
|
cai = 7.9e-5 | F | 7.9e-05 | None | |||
Parameter | scale
|
scale = 120 | F | 120.0 | None | |||
Parameter | ton
|
ton = 100 | F | 100.0 | None | |||
Parameter | toff
|
toff = 4100 | F | 4100.0 | None | |||
Parameter | toff_r
|
toff_r = 5000 | F | 5000.0 | None | |||
Parameter | rk
|
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 | eks
|
F | 0.0 | dimensionless | None | |||
Parameter | gksbar
|
F | 0.0 | dimensionless | None | |||
Parameter | a
|
F | 0.0 | dimensionless | None | |||
Parameter | b
|
F | 0.0 | dimensionless | None | |||
Parameter | r
|
F | 0.0 | dimensionless | None | |||
Parameter | d
|
F | 0.0 | dimensionless | None | |||
Parameter | theta
|
F | 0.0 | dimensionless | None | |||
Parameter | eta
|
F | 0.0 | dimensionless | None | |||
Parameter | psi
|
F | 0.0 | dimensionless | None | |||
Parameter | omega
|
F | 0.0 | dimensionless | None | |||
Parameter | iks
|
F | 0.0 | dimensionless | None | |||
Parameter | t
|
model time | F | 0.0 | dimensionless | None |
type | Rules [33] | assignment | name | derived units | sbo | cvterm | |
---|---|---|---|---|---|---|---|
Rule | d c1/dt
|
= | None | ||||
Rule | d c2/dt
|
= | None | ||||
Rule | d c3/dt
|
= | None | ||||
Rule | d c4/dt
|
= | None | ||||
Rule | d c5/dt
|
= | None | ||||
Rule | d c6/dt
|
= | None | ||||
Rule | d c7/dt
|
= | None | ||||
Rule | d c8/dt
|
= | None | ||||
Rule | d c9/dt
|
= | None | ||||
Rule | d c10/dt
|
= | None | ||||
Rule | d c11/dt
|
= | None | ||||
Rule | d c12/dt
|
= | None | ||||
Rule | d c13/dt
|
= | None | ||||
Rule | d c14/dt
|
= | None | ||||
Rule | d c15/dt
|
= | None | ||||
Rule | d o1/dt
|
= | None | ||||
Rule | d o2/dt
|
= | None | ||||
Rule | rk
|
= | None | ||||
Rule | fara
|
= | None | ||||
Rule | temp
|
= | None | ||||
Rule | v
|
= | None | ||||
Rule | eks
|
= | None | ||||
Rule | gksbar
|
= | None | ||||
Rule | a
|
= | None | ||||
Rule | b
|
= | None | ||||
Rule | r
|
= | None | ||||
Rule | d
|
= | None | ||||
Rule | theta
|
= | None | ||||
Rule | eta
|
= | None | ||||
Rule | psi
|
= | None | ||||
Rule | omega
|
= | None | ||||
Rule | iks
|
= | None | ||||
Rule | t
|
= | None |