-
Notifications
You must be signed in to change notification settings - Fork 1
/
Copy pathNeuron_EUG01.ode
69 lines (61 loc) · 2.35 KB
/
Neuron_EUG01.ode
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
# Neuron_EUG01.ode
#
# gNani - noninactivating sodium conductace
# initial conditions
init Vs=-59, Vd=-59
init cad=0.056, hs=0.995, ma_ni=0.00583, ns=0.00148, sd=0.0153, cd=0.01169, qd=0.00125
# Parameter values
par ip0=0.75
par gLs=0.0, gLd=0.0, gCa=1, gKahp=2.5
" Parameter values: simulate EUG (1 uM) effect final_gNa=17.1 final_gNani=0.3
par gKC=20
par gNa=18, gNani=0.5
par gKdr=24
par VNa=60 VCa=80 VK=-75 VL=-60 Vsyn=0
par gc=2.1 pp=0.5 Cm=3
par alphac=2 betac=0.1
par tstim=1.0e4 n=500
par gkatp=0.0236*(4^0.24)
par iatp=0.1
par natp=50
# Output cols are t, ODEs, AUXs in order, here:
# t versus vd cad hs ns sd cd qd gqk gkc
Vs'=(-gLs*(Vs-VL)-gNa*(Minfs(Vs)^2)*hs*(Vs-VNa)-gNani*ma_ni^3*(Vs-VNa)-gKdr*ns*(Vs-VK)-gkatp*natp*poatp*(Vs-VK)+(gc/pp)*(Vd-Vs)+Ip0/pp)/Cm
Vd'=(-gLd*(Vd-VL)-ICad-gKahp*qd*(Vd-VK)-gKC*cd*chid*(Vd-VK)-gkatp*natp*poatp*(Vd-VK)+(gc*(Vs-Vd))/(1.0-pp))/Cm
Cad'= -0.13*ICad-0.075*Cad
hs'= alphahs(Vs)-(alphahs(Vs)+betahs(Vs))*hs
ma_ni'=(1/(1+exp((-23-Vs)/7.0))-ma_ni)*(alphams(Vs)+betams(Vs))
ns'= alphans(Vs)-(alphans(Vs)+betans(Vs))*ns
sd'= alphasd(Vd)-(alphasd(Vd)+betasd(Vd))*sd
cd'= alphacd(Vd)-(alphacd(Vd)+betacd(Vd))*cd
qd'= alphaqd-(alphaqd+betaqd)*qd
# Cell functions
ICad = gCa*sd*sd*(Vd-VCa)
alphams(v) = 0.32*(-46.9-v)/(exp((-46.9-v)/4.0)-1.0)
betams(v) = 0.28*(v+19.9)/(exp((v+19.9)/5.0)-1.0)
Minfs(v) = alphams(v)/(alphams(v)+betams(v))
alphans(v) = 0.016*(-24.9-v)/(exp((-24.9-v)/5.0)-1.0)
betans(v) = 0.25*exp(-1.0-0.025*v)
alphahs(v) = 0.128*exp((-43.0-v)/18.0)
betahs(v) = 4.0/(1.0+exp((-20.0-v)/5.0))
alphasd(v) = 1.6/(1.0+exp(-0.072*(v-5.0)))
betasd(v) = 0.02*(v+8.9)/(exp((v+8.9)/5.0)-1.0)
alphacd(v) = (1.0-heav(v+10.0))*exp((v+50.0)/11-(v+53.5)/27)/18.975+heav(v+10.0)*2.0*exp((-53.5-v)/27.0)
betacd(v) = (1.0-heav(v+10.0))*(2.0*exp((-53.5-v)/27.0)-alphacd(v))
alphaqd = min(0.00002*Cad,0.01)
betaqd = 0.001
chid = min(Cad/250.0,1.0)
# Level of intracellular ATP concentration
poatp = 0.8/(1+(iatp/0.023)^2)
# auxiliary equationns
# aux Ica=ICad
# aux ikca = gKC*cd*chid*(Vd-VK)
aux ina = gNa*(Minfs(Vs)^2)*hs*(Vs-VNa)
# aux ikdr=gKdr*ns*(Vs-VK)
# aux ikatp = gkatp*natp*poatp*(Vs-VK)
aux ina_ni=gNani*ma_ni^3*(Vs-VNa)
# Numerical and plotting parameters for xpp
@ maxstor=1600000,total=5000,bound=10000,xlo=0,xhi=5000,ylo=-90,yhi=40
@ meth=cvode,atol=0.0001,toler=0.0001,dt=0.05
set EUG {gNa=17.1, gNani=0.3}
done