XPP model
This model was converted from XPP ode format to SBML using sbmlutils-0.1.5a6
.
# This is a a morris-lecar system with IA and depression. # The interesting phase plane for # the "middle" branch is the v vs. ha. Note also that the v vs w phase plane # can have a quintic v nullcline. #dv/dt = ( I - gca*minf(V)*(V-Vca)-gk*w*(V-VK)-GL*(v-vL))/c #dw/dt = (winf(V)-w)/(tauwleft +(tauwright - tauwleft)*Heav(v-0)) v=-50+50*heav(TA-mod(t,per)) dvf/dt = ( Ipost - gca*minf(Vf)*(Vf-Vca)-gk*wf*(Vf-VK)-ga*mainf(vf)*ha*(Vf-VK)-gl*(Vf-Vl)-ginh* s*(vf-Vsyn))/c1 dwf/dt = (wfinf(Vf)-wf)/tauw(Vf) dha/dt = (hainf(vf) - ha)/tauha(vf) d'=(1-d)*Heav(vtheta-v)/taua -d*Heav(v-vtheta)/taub s'=-s*(Heav(vtheta-v)/tauk + Heav(v-vtheta)*sdecayup) y'=1 tf'=0 period'=0 minf(v)=.5*(1+tanh((v-v1)/v2)) winf(v)=.5*(1+tanh((v-v3)/v4)) wfinf(v)=.5*(1+tanh((v-v5)/v4)) tauw(v)=tauwflo+(tauwfhi-tauwflo)*winf(v) hainf(v)=1/(1+exp((v-vha)/kha)) mainf(v)=1/(1+exp(-(v-vma)/kma)) #tauha(v)=tauhhi+(tauhlo-tauhhi)*hainf(v) tauha(v)=tauhhi+(tauhlo-tauhhi)*hainf(v) + (tauhmed-tauhhi)*(Heav(v-vha) - Heav(v-vma-k)) p ipost=45 v5=20 k=2 p ga=2 vma=-10 kma=0.5 p ginh=1.85 p vha=-15 kha=0.5 p tauhlo=465 tauhhi=10 tauhmed=1200 p tauwflo=15 tauwfhi=2 # p tauwleft=200 tauwright=100 p taua=400 taub=5 tauk=125 c1=2 p TA=5 p per=500 # flags global 1 v-vtheta {s=d} global 1 v-vtheta {y=0} global 1 vf-0 {tf=y} global 1 v+24.99 {period=y} # auxilary functions aux phase=tf/per aux v=v aux window=Heav(vf-vha) - Heav(vf-vma-k) #ma=mainf(V) v1=-1.2 v2=18 v3=0 v4=5 gk=8 gl=2 gca=4 vk=-84 vl=-60 vca=120 c=40 vsyn=-80 vtheta=-25 sdecayup=0 ha(0)=1 @ total=5000,dt=1,xlo=-60,xhi=60,ylo=-.125,yhi=.6, # xp=vf,yp=wf @ nmesh=200,maxstor=100000,bounds=10000 done
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Copyright © 2017 Matthias Koenig
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Model :
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type | FunctionDefinitions [11] | name | math | sbo | cvterm |
---|---|---|---|---|---|
FunctionDefinition | max
|
minimum | |||
FunctionDefinition | min
|
maximum | |||
FunctionDefinition | heav
|
heavyside | |||
FunctionDefinition | mod
|
modulo | |||
FunctionDefinition | minf
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FunctionDefinition | winf
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FunctionDefinition | wfinf
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FunctionDefinition | tauw
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FunctionDefinition | hainf
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FunctionDefinition | mainf
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FunctionDefinition | tauha
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type | Parameters [46] | name | constant | value | unit | derived unit | sbo | cvterm |
---|---|---|---|---|---|---|---|---|
Parameter | ipost
|
ipost = 45 | F | 45.0 | None | |||
Parameter | v5
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v5 = 20 | F | 20.0 | None | |||
Parameter | k
|
k = 2 | F | 2.0 | None | |||
Parameter | ga
|
ga = 2 | F | 2.0 | None | |||
Parameter | vma
|
vma = -10 | F | -10.0 | None | |||
Parameter | kma
|
kma = 0.5 | F | 0.5 | None | |||
Parameter | ginh
|
ginh = 1.85 | F | 1.85 | None | |||
Parameter | vha
|
vha = -15 | F | -15.0 | None | |||
Parameter | kha
|
kha = 0.5 | F | 0.5 | None | |||
Parameter | tauhlo
|
tauhlo = 465 | F | 465.0 | None | |||
Parameter | tauhhi
|
tauhhi = 10 | F | 10.0 | None | |||
Parameter | tauhmed
|
tauhmed = 1200 | F | 1200.0 | None | |||
Parameter | tauwflo
|
tauwflo = 15 | F | 15.0 | None | |||
Parameter | tauwfhi
|
tauwfhi = 2 | F | 2.0 | None | |||
Parameter | taua
|
taua = 400 | F | 400.0 | None | |||
Parameter | taub
|
taub = 5 | F | 5.0 | None | |||
Parameter | tauk
|
tauk = 125 | F | 125.0 | None | |||
Parameter | c1
|
c1 = 2 | F | 2.0 | None | |||
Parameter | ta
|
ta = 5 | F | 5.0 | None | |||
Parameter | per
|
per = 500 | F | 500.0 | None | |||
Parameter | ha
|
ha = 1 | F | 1.0 | None | |||
Parameter | vf
|
F | 0.0 | dimensionless | None | |||
Parameter | wf
|
F | 0.0 | dimensionless | None | |||
Parameter | d
|
F | 0.0 | dimensionless | None | |||
Parameter | s
|
F | 0.0 | dimensionless | None | |||
Parameter | y
|
F | 0.0 | dimensionless | None | |||
Parameter | tf
|
F | 0.0 | dimensionless | None | |||
Parameter | period
|
F | 0.0 | dimensionless | None | |||
Parameter | v
|
F | 0.0 | dimensionless | None | |||
Parameter | phase
|
F | 0.0 | dimensionless | None | |||
Parameter | window
|
F | 0.0 | dimensionless | None | |||
Parameter | v1
|
F | 0.0 | dimensionless | None | |||
Parameter | v2
|
F | 0.0 | dimensionless | None | |||
Parameter | v3
|
F | 0.0 | dimensionless | None | |||
Parameter | v4
|
F | 0.0 | dimensionless | None | |||
Parameter | gk
|
F | 0.0 | dimensionless | None | |||
Parameter | gl
|
F | 0.0 | dimensionless | None | |||
Parameter | gca
|
F | 0.0 | dimensionless | None | |||
Parameter | vk
|
F | 0.0 | dimensionless | None | |||
Parameter | vl
|
F | 0.0 | dimensionless | None | |||
Parameter | vca
|
F | 0.0 | dimensionless | None | |||
Parameter | c
|
F | 0.0 | dimensionless | None | |||
Parameter | vsyn
|
F | 0.0 | dimensionless | None | |||
Parameter | vtheta
|
F | 0.0 | dimensionless | None | |||
Parameter | sdecayup
|
F | 0.0 | dimensionless | None | |||
Parameter | t
|
model time | F | 0.0 | dimensionless | None |
type | Rules [26] | assignment | name | derived units | sbo | cvterm | |
---|---|---|---|---|---|---|---|
Rule | d vf/dt
|
= | None | ||||
Rule | d wf/dt
|
= | None | ||||
Rule | d ha/dt
|
= | None | ||||
Rule | d d/dt
|
= | None | ||||
Rule | d s/dt
|
= | None | ||||
Rule | d y/dt
|
= | None | ||||
Rule | d tf/dt
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= | None | ||||
Rule | d period/dt
|
= | None | ||||
Rule | v
|
= | None | ||||
Rule | phase
|
= | None | ||||
Rule | window
|
= | None | ||||
Rule | v1
|
= | None | ||||
Rule | v2
|
= | None | ||||
Rule | v3
|
= | None | ||||
Rule | v4
|
= | None | ||||
Rule | gk
|
= | None | ||||
Rule | gl
|
= | None | ||||
Rule | gca
|
= | None | ||||
Rule | vk
|
= | None | ||||
Rule | vl
|
= | None | ||||
Rule | vca
|
= | None | ||||
Rule | c
|
= | None | ||||
Rule | vsyn
|
= | None | ||||
Rule | vtheta
|
= | None | ||||
Rule | sdecayup
|
= | None | ||||
Rule | t
|
= | None |
type | Events [4] | name | trigger | priority | delay | assignments | sbo | cvterm |
---|---|---|---|---|---|---|---|---|
Event | e0
|
initialValue = False persistent = True |
s =
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Event | e1
|
initialValue = False persistent = True |
y =
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Event | e2
|
initialValue = False persistent = True |
tf =
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Event | e3
|
initialValue = False persistent = True |
period =
|