XPP model
This model was converted from XPP ode format to SBML using sbmlutils-0.1.5a6
.
#CA3_cell.ode #Atherton et al., 2016 # # #Declare parameters param Is=0.3, gCa_h=10.0, Id=0.0, gKCa_h=15 param p=0.5, C_h=3, gL=0.1 param VL=-60, gNa_h=30, VNa_h=60 param gK_h=15, VK_h=-75 param VCa_h=80, gKAHP_h=0.8, gsd=2.1 param tau_AMPA=2 param gAMPA_PP_h=1e-0.6, VAMPA=0, tau_GABA_IP=7 param gGABA_IP_h=1e-06, VGABA=-75 # # Define some functions alpham=0.32*(-46.9-Vs)/(exp((-46.9-Vs)/4)-1) betam=0.28*(Vs+19.9)/(exp((Vs+19.9)/5)-1) m_inf=alpham/(alpham + betam) alphah=0.128*exp((-43-Vs)/18) betah=4./(1+exp((-20-Vs)/5)) alphan=0.016*(-24.9-Vs)/(exp((-24.9-Vs)/5)-1) betan=0.25*exp(-1-0.025*Vs) alphas=1.6 / (exp(-0.072*(Vd-5))+1) betas=0.02*(Vd+8.9)/(exp((Vd+8.9)/5)-1) qinf=(0.7894*exp(0.0002726*Ca))-(0.7292*exp(-0.01672*Ca)) tauq=(657.9*exp(-0.02023*Ca))+(301.8*exp(-0.002381*Ca)) cinf=(1.0/(1.0+exp((-10.1-Vd)/0.1016)))^0.00925 tauc=3.627*exp(0.03704*Vd) # # Define the fixed variables I_Ls=gL*(Vs-VL) I_Na=gNa_h*(m_inf^2)*h*(Vs-VNa_h) I_K=gK_h*n*(Vs-VK_h) I_sd=gsd*(Vs-Vd) I_Ld=gL*(Vd-VL) I_Ca=gCa_h*(s^2)*(Vd-VCa_h) I_KAHP=gKAHP_h*q*(Vd-VK_h) I_KCa=gKCa_h*c*(1.073*sin(0.003453*Ca+0.08095) + 0.08408*sin(0.01634*Ca-2.34) + 0.01811*sin(0.0348*Ca-0.9918))*(Vd-VK_h) # Define the right-hand sides Vs'=(-(I_Ls + I_Na + I_K) - I_sd/p + Is/p)/C_h Vd'=(-( I_Ld + I_Ca + I_KAHP + I_KCa ) + I_sd/(1-p) + Id/(1-p))/C_h Ca'=(-0.13*I_Ca - 0.075*Ca) h'=(alphah - h*(alphah + betah)) n'=(alphan - n*(alphan + betan)) s'=(alphas - s*(alphas + betas)) q'=(qinf-q)/tauq c'=(cinf-c)/tauc # Initial conditions init Vs= -62.89223689 init Vd= -62.98248752 init Ca=0.21664282 init h=0.99806345 init n=0.00068604 init s=0.01086703 init q=0.0811213 init c=0.00809387 # @ meth=cvode, toler=1.0e-10, atoler=1.0e-10, dt=0.05, total=10000 @ maxstore=10000000, bounds=10000000, noutput=10 @ xp=t, yp=vs, xlo=0, xhi=10000, ylo=-120, yhi=40 @ ntst=100.,nmax=2000000.,npr=2000000.,dsmin=0.00001,dsmax=0.5,ds=0.1,parmin=-500,parmax=500. @ epsl=1e-08, epsu=1e-08, epss=1e-06, normmax=1000000 @ autoxmin=-100.,autoxmax=100,autoymin=-120.,autoymax=40. 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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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 [51] | name | constant | value | unit | derived unit | sbo | cvterm |
---|---|---|---|---|---|---|---|---|
Parameter | is
|
is = 0.3 | F | 0.3 | None | |||
Parameter | gca_h
|
gca_h = 10.0 | F | 10.0 | None | |||
Parameter | id
|
id = 0.0 | F | 0.0 | None | |||
Parameter | gkca_h
|
gkca_h = 15 | F | 15.0 | None | |||
Parameter | p
|
p = 0.5 | F | 0.5 | None | |||
Parameter | c_h
|
c_h = 3 | F | 3.0 | None | |||
Parameter | gl
|
gl = 0.1 | F | 0.1 | None | |||
Parameter | vl
|
vl = -60 | F | -60.0 | None | |||
Parameter | gna_h
|
gna_h = 30 | F | 30.0 | None | |||
Parameter | vna_h
|
vna_h = 60 | F | 60.0 | None | |||
Parameter | gk_h
|
gk_h = 15 | F | 15.0 | None | |||
Parameter | vk_h
|
vk_h = -75 | F | -75.0 | None | |||
Parameter | vca_h
|
vca_h = 80 | F | 80.0 | None | |||
Parameter | gkahp_h
|
gkahp_h = 0.8 | F | 0.8 | None | |||
Parameter | gsd
|
gsd = 2.1 | F | 2.1 | None | |||
Parameter | tau_ampa
|
tau_ampa = 2 | F | 2.0 | None | |||
Parameter | gampa_pp_h
|
gampa_pp_h | F | 0.0 | None | |||
Parameter | vampa
|
vampa = 0 | F | 0.0 | None | |||
Parameter | tau_gaba_ip
|
tau_gaba_ip = 7 | F | 7.0 | None | |||
Parameter | ggaba_ip_h
|
ggaba_ip_h = 1e-06 | F | 1e-06 | None | |||
Parameter | vgaba
|
vgaba = -75 | F | -75.0 | None | |||
Parameter | vs
|
vs = -62.89223689 | F | -62.89223689 | None | |||
Parameter | vd
|
vd = -62.98248752 | F | -62.98248752 | None | |||
Parameter | ca
|
ca = 0.21664282 | F | 0.21664282 | None | |||
Parameter | h
|
h = 0.99806345 | F | 0.99806345 | None | |||
Parameter | n
|
n = 0.00068604 | F | 0.00068604 | None | |||
Parameter | s
|
s = 0.01086703 | F | 0.01086703 | None | |||
Parameter | q
|
q = 0.0811213 | F | 0.0811213 | None | |||
Parameter | c
|
c = 0.00809387 | F | 0.00809387 | None | |||
Parameter | alpham
|
F | 0.0 | dimensionless | None | |||
Parameter | betam
|
F | 0.0 | dimensionless | None | |||
Parameter | m_inf
|
F | 0.0 | dimensionless | None | |||
Parameter | alphah
|
F | 0.0 | dimensionless | None | |||
Parameter | betah
|
F | 0.0 | dimensionless | None | |||
Parameter | alphan
|
F | 0.0 | dimensionless | None | |||
Parameter | betan
|
F | 0.0 | dimensionless | None | |||
Parameter | alphas
|
F | 0.0 | dimensionless | None | |||
Parameter | betas
|
F | 0.0 | dimensionless | None | |||
Parameter | qinf
|
F | 0.0 | dimensionless | None | |||
Parameter | tauq
|
F | 0.0 | dimensionless | None | |||
Parameter | cinf
|
F | 0.0 | dimensionless | None | |||
Parameter | tauc
|
F | 0.0 | dimensionless | None | |||
Parameter | i_ls
|
F | 0.0 | dimensionless | None | |||
Parameter | i_na
|
F | 0.0 | dimensionless | None | |||
Parameter | i_k
|
F | 0.0 | dimensionless | None | |||
Parameter | i_sd
|
F | 0.0 | dimensionless | None | |||
Parameter | i_ld
|
F | 0.0 | dimensionless | None | |||
Parameter | i_ca
|
F | 0.0 | dimensionless | None | |||
Parameter | i_kahp
|
F | 0.0 | dimensionless | None | |||
Parameter | i_kca
|
F | 0.0 | dimensionless | None | |||
Parameter | t
|
model time | F | 0.0 | dimensionless | None |
type | InitialAssignments [1] | name | assignment | derived units | sbo | cvterm | |
---|---|---|---|---|---|---|---|
InitialAssignment | gampa_pp_h | = | None |
type | Rules [30] | assignment | name | derived units | sbo | cvterm | |
---|---|---|---|---|---|---|---|
Rule | d vs/dt
|
= | None | ||||
Rule | d vd/dt
|
= | None | ||||
Rule | d ca/dt
|
= | None | ||||
Rule | d h/dt
|
= | None | ||||
Rule | d n/dt
|
= | None | ||||
Rule | d s/dt
|
= | None | ||||
Rule | d q/dt
|
= | None | ||||
Rule | d c/dt
|
= | None | ||||
Rule | alpham
|
= | None | ||||
Rule | betam
|
= | None | ||||
Rule | m_inf
|
= | None | ||||
Rule | alphah
|
= | None | ||||
Rule | betah
|
= | None | ||||
Rule | alphan
|
= | None | ||||
Rule | betan
|
= | None | ||||
Rule | alphas
|
= | None | ||||
Rule | betas
|
= | None | ||||
Rule | qinf
|
= | None | ||||
Rule | tauq
|
= | None | ||||
Rule | cinf
|
= | None | ||||
Rule | tauc
|
= | None | ||||
Rule | i_ls
|
= | None | ||||
Rule | i_na
|
= | None | ||||
Rule | i_k
|
= | None | ||||
Rule | i_sd
|
= | None | ||||
Rule | i_ld
|
= | None | ||||
Rule | i_ca
|
= | None | ||||
Rule | i_kahp
|
= | None | ||||
Rule | i_kca
|
= | None | ||||
Rule | t
|
= | None |