Model Mathematics

\frac{d}{d time} (E) = k2 ECl + k4 EHCO3 - (k1 Cl E + k3 HCO3 E)

\frac{d}{d time} (ECl) = k1 Cl E + k10 ECl_- (k2 ECl + k9 ECl)

\frac{d}{d time} (EHCO3) = k3 HCO3 E + k12 EHCO3_- (k4 EHCO3 + k11 EHCO3)

\frac{d}{d time} (E_) = k6 ECl_+ k8 EHCO3_- (k5 Cl_E_+ k7 HCO3_E_)

\frac{d}{d time} (ECl_) = k5 Cl_E_+ k9 ECl - (k6 ECl_+ k10 ECl_)

\frac{d}{d time} (EHCO3_) = k7 HCO3_E_+ k11 EHCO3 - (k8 EHCO3_+ k12 EHCO3_)

J_Cl_influx = (k9 ECl - (k10 ECl_)) {(1.0 + \frac{Cl_}{Ki_Cl} + \frac{HCO3_}{Ki_HCO3})}^{-1.0}