OneCellTwoOsc.ode

# default: gnap=2,gcan=0.7,I=1 (SD-Burst)

# AUGUST 2010
# cell is combination of  Nap and CaN burster (Can closed-cell model with ER in dendrtes) 
# NaP burster is from from Butera, 1999; setting gcan=0 reproduce Butera 1999 model
# Frequency of Ca oscillations controlled by either Catot or I (larger values - faster bursting)

# units: V = mV; Cm = pF; g = uS

minf=1/(1+exp((v-vm) /sm)) 
ninf=1/(1+exp((v-vn) /sn))
minfp=1/(1+exp((v-vmp)/smp))
hinf=1/(1+exp((v-vh) /sh))

taun=taunb/cosh((v-vn)/(2*sn))
tauh=tauhb/cosh((v-vh)/(2*sh))

I_na=gna*minf^3*(1-n)*(v-vna)
I_k=gk*n^4*(v-Vk)
I_nap=gnap*minfp*h*(v-vna)
I_l =gl*(v-vleaks)

# Equations for CaN current
caninf =1/(1+(Kcan/C)^ncan)
I_can=gcan*caninf*(v-vna)

#Fluxes in and out of ER
# l is fraction of open IP3 channels
J_ER_in=(LL + P*( (I*C*l)/( (I+Ki)*(C+Ka) ) )^3 )*(Ce - C)
J_ER_out=Ve*C^2/(Ke^2+C^2)
Ce = (Ct - C)/sigma

# Equations
v'= (-I_k - I_na-I_nap-I_l-I_aps-I_can)/Cms
n'= (ninf-n)/taun
h'= (hinf-h)/tauh
C' = fi*( J_ER_in- J_ER_out)
l' = A*( Kd - (C + Kd)*l )

# Auxilary variables
aux Ce=Ce
aux ican=I_can
aux inaps=I_nap

#Initial conditions

v(0)=-50
n(0)=0.004
h(0)=0.33
C(0)=0.03
l(0)=0.93

# Voltage parameters
par Cms=21, I_aps=0
num vna=50,vk=-85, vleaks=-58 
num vm=-34,vn=-29, vmp=-40, vh=-48
num sm=-5, sn=-4,  smp=-6,  sh=5
num taunb=10,  tauhb=10000, 
par gk=11.2, gna=28, gnap=2,gl=2.3

# Ca parameters
par Kcan=0.74, ncan=0.97,gcan=0.7
par I=1
par Ct=1.25
par fi=0.000025
num LL=0.37
par P=31000
par Ki=1.0
par Ka=0.4
par Ve=400
par Ke=0.2
par A=0.005 
par Kd=0.4
par sigma=0.185


@ dt=0.1,total=10000,meth=qualrk,xp=t,yp=v
@ xlo=0,xhi=10000,ylo=-60,yhi=10.,bound=500001,maxstor=5000001

done