Model Mathematics

x_T = \frac{x_Tmax}{1 + \frac{HCO3_i}{K_I}} \frac{d}{d time} (HCO3_i) = 60

beta_p = \frac{HCO3_e}{Kb_p} beta_pp = \frac{HCO3_i}{Kb_pp} gamma_p = \frac{Cl_e}{Kc_p} gamma_pp = \frac{Cl_i}{Kc_pp} sigma = (1 + beta_p + gamma_p) (Pb_pp beta_pp + Pc_pp gamma_pp) + (1 + beta_pp + gamma_pp) (Pb_p beta_p + Pc_p gamma_p) x_p = \frac{x_T (Pb_pp beta_pp + Pc_pp gamma_pp)}{sigma} x_pp = \frac{x_T (Pb_p beta_p + Pc_p gamma_p)}{sigma} Jb_influx = \frac{x_T}{sigma} Pb_p beta_p (Pb_pp beta_pp + Pc_pp gamma_pp) Jc_influx = \frac{x_T}{sigma} Pc_p gamma_p (Pb_pp beta_pp + Pc_pp gamma_pp) J_HCO3 = \frac{x_T}{sigma} (Pb_pp beta_pp Pc_p gamma_p - (Pb_p beta_p Pc_pp gamma_pp)) J_Cl = - J_HCO3 Jo_bm = {(\frac{1}{x_T} (\frac{1}{Pb_p} + \frac{1}{Pb_pp} + \frac{Kb_pp}{Pb_pp HCO3_i}))}^{- 1} Ji_bm = {(\frac{1}{x_T} (\frac{1}{Pb_p} + \frac{1}{Pb_pp} + \frac{Kb_p}{Pb_p HCO3_e}))}^{- 1} Js_bm = {(\frac{1}{x_T} (\frac{1}{Pb_p} + \frac{1}{Pb_pp}))}^{- 1} Jo_cm = {(\frac{1}{x_T} (\frac{1}{Pc_p} + \frac{1}{Pc_pp} + \frac{Kc_pp}{Pc_pp Cl_i}))}^{- 1} Ji_cm = {(\frac{1}{x_T} (\frac{1}{Pc_p} + \frac{1}{Pc_pp} + \frac{Kc_p}{Pc_p Cl_e}))}^{- 1} Js_cm = {(\frac{1}{x_T} (\frac{1}{Pc_p} + \frac{1}{Pc_pp}))}^{- 1}