COMMENT
Internal calcium concentration calculated in response to a calcium current calculated elsewhere,
and a single-exponetial extruding pump calculated here. Valid for small distances from the membrane,
where the suface to volume ratio of a cylinder can be approximated as 1/depth .
This code was modified from Destexhe,Babloyantz & Sejnowski (Biophys. J. 65(1993): 1538-1552 --Equ. 7 )
ENDCOMMENT
INDEPENDENT {t FROM 0 TO 1 WITH 1 (ms)}
NEURON {
SUFFIX cad
USEION ca READ ica, cai WRITE cai
RANGE depth,cainf,taur
}
UNITS {
(molar) = (1/liter) : moles do not appear in units
(mM) = (millimolar)
(um) = (micron)
(mA) = (milliamp)
(msM) = (ms mM)
}
CONSTANT {
FARADAY = 96489 (coul) : moles do not appear in units
}
PARAMETER {
depth = .1 (um) : depth of shell
taur = 1.5 (ms) : remove first-order decay
cainf = 0.0001 (mM)
}
STATE {
cai (mM)
}
INITIAL {
cai = 0.0001
}
ASSIGNED {
ica (mA/cm2)
drive_channel (mM/ms)
drive_pump (mM/ms)
}
BREAKPOINT {
SOLVE state METHOD derivimplicit
}
DERIVATIVE state {
: Surface to volume ratio of a cylinder is approximated as 1/depth for very small values of depth
: More precicely the ratio is 2 / ( (depth)^2 / (diam/2 - (2 * depth)) )
drive_channel = - (10000) * ica / (2 * FARADAY * depth)
if (drive_channel <= 0.) { drive_channel = 0. } : cannot pump below resting level
cai' = drive_channel + (cainf-cai)/taur
}