Model Mathematics

\frac{d}{d time} (HCO3_int) = 0.0 \frac{d}{d time} (HCO3_ext) = 0.0 \frac{d}{d time} (Cl_int) = 1.0 \frac{d}{d time} (Cl_ext) = 0.0

x_T = \frac{x_Tmax}{1 + \frac{HCO3_int}{K_I}} beta_ext = \frac{HCO3_ext}{K_HCO3_ext} beta_int = \frac{HCO3_int}{K_HCO3_int} gamma_ext = \frac{Cl_ext}{K_Cl_ext} gamma_int = \frac{Cl_int}{K_Cl_int} sigma = (1 + beta_ext + gamma_ext) (P_HCO3_int beta_int + P_Cl_int gamma_int) + (1 + beta_int + gamma_int) (P_HCO3_ext beta_ext + P_Cl_ext gamma_ext) J_AE1_HCO3 = \frac{x_T}{sigma} (P_HCO3_int beta_int P_Cl_ext gamma_ext - (P_HCO3_ext beta_ext P_Cl_int gamma_int)) J_AE1_Cl = - J_AE1_HCO3 x_ext = \frac{x_T (P_HCO3_int beta_int + P_Cl_int gamma_int)}{sigma} x_int = \frac{x_T (P_HCO3_ext beta_ext + P_Cl_ext gamma_ext)}{sigma} J_HCO3_influx = \frac{x_T}{sigma} P_HCO3_ext beta_ext (P_HCO3_int beta_int + P_Cl_int gamma_int) J_Cl_influx = \frac{x_T}{sigma} P_Cl_ext gamma_ext (P_HCO3_int beta_int + P_Cl_int gamma_int) Jo_bm = {(\frac{1}{x_T} (\frac{1}{P_HCO3_ext} + \frac{1}{P_HCO3_int} + \frac{K_HCO3_int}{P_HCO3_int HCO3_int}))}^{- 1} Ji_bm = {(\frac{1}{x_T} (\frac{1}{P_HCO3_ext} + \frac{1}{P_HCO3_int} + \frac{K_HCO3_ext}{P_HCO3_ext HCO3_ext}))}^{- 1} Js_bm = {(\frac{1}{x_T} (\frac{1}{P_HCO3_ext} + \frac{1}{P_HCO3_int}))}^{- 1} Jo_cm = {(\frac{1}{x_T} (\frac{1}{P_Cl_ext} + \frac{1}{P_Cl_int} + \frac{K_Cl_int}{P_Cl_int Cl_int}))}^{- 1} Ji_cm = {(\frac{1}{x_T} (\frac{1}{P_Cl_ext} + \frac{1}{P_Cl_int} + \frac{K_Cl_ext}{P_Cl_ext Cl_ext}))}^{- 1} Js_cm = {(\frac{1}{x_T} (\frac{1}{P_Cl_ext} + \frac{1}{P_Cl_int}))}^{- 1}