model of DCN pyramidal neuron
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NEURON {
SUFFIX capmp
USEION ca READ cao, ica, cai WRITE cai, ica
RANGE tau, width, cabulk, ica, pump0
}
UNITS {
(um) = (micron)
(molar) = (1/liter)
(mM) = (millimolar)
(uM) = (micromolar)
(mA) = (milliamp)
(mol) = (1)
FARADAY = (faraday) (coulomb)
}
PARAMETER {
width = 0.1 (um)
tau = 1 (ms)
k1 = 5e8 (/mM-s)
k2 = 0.25e6 (/s)
k3 = 0.5e3 (/s)
k4 = 5e0 (/mM-s)
cabulk = 0.1 (uM)
pump0 = 3e-14 (mol/cm2)
}
ASSIGNED {
cao (mM) : 2
cai (mM) : 100e-6
ica (mA/cm2)
ica_pmp (mA/cm2)
ica_pmp_last (mA/cm2)
}
STATE {
cam (uM) <1e-6>
pump (mol/cm2) <1e-16>
capump (mol/cm2) <1e-16>
}
INITIAL {
ica = 0
ica_pmp = 0
ica_pmp_last = 0
SOLVE pmp STEADYSTATE sparse
}
BREAKPOINT {
SOLVE pmp METHOD sparse
ica_pmp_last = ica_pmp
ica = ica_pmp
}
KINETIC pmp {
~ cabulk <-> cam (width/tau, width/tau)
~ cam + pump <-> capump ((1e7)*k1, (1e10)*k2)
~ capump <-> cao + pump ((1e10)*k3, (1e10)*k4)
ica_pmp = (1e-7)*2*FARADAY*(f_flux - b_flux)
: ica_pmp_last vs ica_pmp needed because of STEADYSTATE calculation
~ cam << (-(ica - ica_pmp_last)/(2*FARADAY)*(1e7))
CONSERVE pump + capump = (1e13)*pump0
COMPARTMENT width {cam} : volume has dimensions of um
COMPARTMENT (1e13) {pump capump} : area is dimensionless
COMPARTMENT 1(um) {cabulk}
COMPARTMENT (1e3)*1(um) {cao}
cai = (0.001)*cam
}