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 }