: Author: David Catherall; Grill Lab; Duke University
: Created: November 2016
: NaCaPump is the Sodium-Calcium Exchanger in Schild 1994
: Adapted from Leo Medina's implementation from Lindblad et al Am J Physiol 1996 275:H1666
: Original model has been modified to assume constant nai
: Neuron Block creates mechanism
NEURON {
SUFFIX NaCaPump :Sets suffix of mechanism for insertion into models
USEION ca READ cao, cai WRITE ica :Lays out which NEURON variables will be used/modified by file
USEION na READ nao, nai WRITE ina :Since the mechanism uses two ions, two USEION statements are necessary
RANGE inca, DFout, DFin, S, KNaCa, DNaCa :Allows variables to be modified in hoc and collected in vectors
}
: Defines Units different from NEURON base units
UNITS {
(mA) = (milliamp)
(mV) = (millivolt)
(molar) = (1/liter)
(mM) = (millimolar)
FARADAY = 96500 (coulombs)
R = 8.314 (joule/degC)
}
: Defines variables which will have a constant value throughout any given simulation run
PARAMETER {
KNaCa22 = 1.27324E-06 (mA/cm2/mM4) <0,1e6> :KNaCa at 22 degC
Q10NaCa = 2.20 :KNaCa Scale Factor
Q10TempA = 22.85 (degC) : Used to shift KNaCa value based on temperature with equation : tau(T1)=tau(Q10TempA)*Q10^((Q10TempA-T1)/Q10TempB)
Q10TempB = 10 (degC)
r=3
gamma=0.5
DNaCa=0.0036 (/mM4)
}
: Defines variables which will be used or calculated throughout the simulation which may not be constant. Also included NEURON provided variables, like v, celsius, and ina
ASSIGNED {
:NEURON provided Variables
celsius (degC)
v (mV)
cai (mM)
cao (mM)
ica (mA/cm2)
ina (mA/cm2)
nao (mM)
nai (mM)
:Model Specific Variabl
inca (mA/cm2)
S
DFin (mM4)
DFout (mM4)
temp (degC)
KNaCa (mA/cm2/mM4)
}
: This block iterates the variable calculations and uses those calculations to calculate currents
BREAKPOINT {
temp = celsius +273.15
S=1.0+DNaCa*(cai*nao*nao*nao+cao*nai*nai*nai)
DFin=nai*nai*nai*cao*exp(((r-2)*gamma*v*FARADAY)/((1000)*R*temp))
DFout=nao*nao*nao*cai*exp(((r-2)*(gamma-1)*v*FARADAY)/((1000)*R*temp))
inca=KNaCa*((DFin-DFout)/S)
ina = 3*inca
ica = -2*inca
}
:Initialize KNaCa, as it is temperature dependent
INITIAL {
KNaCa = KNaCa22*Q10NaCa^((Q10TempA-celsius)/Q10TempB)
}
:Note that there are no state variables, and as such, no differential equations