Component: environment

Component: imported_variables

Component: solute_concentrations

$d C_m_Na d time = − (J_mc_Na + J_ms_Na) d C_s_Na d time = J_ms_Na − J_sc_Na d C_c_Na d time = J_mc_Na + J_sc_Na d C_m_K d time = − (J_mc_K + J_ms_K) d C_s_K d time = J_ms_K − J_sc_K d C_c_K d time = J_mc_K + J_sc_K d C_m_Cl d time = − (J_mc_Cl + J_ms_Cl) d C_s_Cl d time = J_ms_Cl − J_sc_Cl d C_c_Cl d time = J_mc_Cl + J_sc_Cl$

Component: constants

Component: mc_sodium_flux

$J_mc_Na = J_mc_NaCl + G_mc_Na G_mc_Na = P_mc_Na F (psi_m − psi_c) / RT (C_m_Na − C_c_Na e − (F / RT) (psi_m − psi_c)) / (1.0 − e − (F / RT) (psi_m − psi_c)) J_mc_NaCl = J_mc_NaCl_max (C_m_Na / K_mc_Na_NaCl C_m_Cl / K_mc_Cl_NaCl − C_c_Na / K_mc_Na_NaCl C_c_Cl / K_mc_Cl_NaCl) / ((1.0 + C_m_Na / K_mc_Na_NaCl C_m_Cl / K_mc_Cl_NaCl) (1.0 + C_c_Na / K_mc_Na_NaCl) (1.0 + C_c_Cl / K_mc_Cl_NaCl) + (1.0 + C_c_Na / K_mc_Na_NaCl C_c_Cl / K_mc_Cl_NaCl) (1.0 + C_m_Na / K_mc_Na_NaCl) (1.0 + C_m_Cl / K_mc_Cl_NaCl))$

Component: mc_potassium_flux

$J_mc_K = J_mc_KCl + G_mc_K G_mc_K = P_mc_K F (psi_m − psi_c) / RT (C_m_K − C_c_K e − (F / RT) (psi_m − psi_c)) / (1.0 − e − (F / RT) (psi_m − psi_c)) J_mc_KCl = J_mc_KCl_max (C_m_K / K_mc_K_KCl C_m_Cl / K_mc_Cl_KCl − C_c_K / K_mc_K_KCl C_c_Cl / K_mc_Cl_KCl) / ((1.0 + C_m_K / K_mc_K_KCl C_m_Cl / K_mc_Cl_KCl) (1.0 + C_c_K / K_mc_K_KCl) (1.0 + C_c_Cl / K_mc_Cl_KCl) + (1.0 + C_c_K / K_mc_K_KCl C_c_Cl / K_mc_Cl_KCl) (1.0 + C_m_K / K_mc_K_KCl) (1.0 + C_m_Cl / K_mc_Cl_KCl))$

Component: mc_chloride_flux

$J_mc_Cl = J_mc_NaCl + J_mc_KCl + G_mc_Cl G_mc_Cl = P_mc_Cl -1.0 F (psi_m − psi_c) / RT (C_m_Cl − C_c_Cl e − (-1.0 F / RT) (psi_m − psi_c)) / (1.0 − e − (-1.0 F / RT) (psi_m − psi_c))$

Component: sc_sodium_flux

$J_sc_Na = -3.0 J_a J_a = J_a_max 1.0 / (1.0 + (K_Na_ATPase / C_c_Na) 3.0)$

Component: sc_potassium_flux

$J_sc_K = 2.0 J_a + G_sc_K G_sc_K = P_sc_K F (psi_s − psi_c) / RT (C_s_K − C_c_K e − (F / RT) (psi_s − psi_c)) / (1.0 − e − (F / RT) (psi_s − psi_c))$

Component: sc_chloride_flux

$J_sc_Cl = G_sc_Cl G_sc_Cl = P_sc_Cl -1.0 F (psi_s − psi_c) / RT (C_s_Cl − C_c_Cl e − (-1.0 F / RT) (psi_s − psi_c)) / (1.0 − e − (-1.0 F / RT) (psi_s − psi_c))$

Component: ms_sodium_flux

$J_ms_Na = G_ms_Na G_ms_Na = P_ms_Na F (psi_m − psi_s) / RT (C_m_Na − C_s_Na e − (F / RT) (psi_m − psi_s)) / (1.0 − e − (F / RT) (psi_m − psi_s))$

Component: ms_potassium_flux

$J_ms_K = G_ms_K G_ms_K = P_ms_K F (psi_m − psi_s) / RT (C_m_K − C_s_K e − (F / RT) (psi_m − psi_s)) / (1.0 − e − (F / RT) (psi_m − psi_s))$

Component: ms_chloride_flux

$J_ms_Cl = G_ms_Cl G_ms_Cl = P_ms_Cl -1.0 F (psi_m − psi_s) / RT (C_m_Cl − C_s_Cl e − (-1.0 F / RT) (psi_m − psi_s)) / (1.0 − e − (-1.0 F / RT) (psi_m − psi_s))$

Component: total_transepithelial_sodium_flux

$J_Na = J_mc_Na + J_ms_Na$

Component: total_transepithelial_potassium_flux

$J_K = J_mc_K + J_ms_K$

Component: total_transepithelial_chloride_flux

$J_Cl = J_mc_Cl + J_ms_Cl$

Component: osmolarities

$Osm_m = C_m_Na + C_m_K + C_m_Cl + C_m_Imp Osm_c = C_c_Na + C_c_K + C_c_Cl + C_c_Imp Osm_s = C_s_Na + C_s_K + C_s_Cl + C_s_Imp$

Component: mc_transepithelial_volume_flux

$J_mc_v = L_mc_v RT (Osm_m − Osm_c)$

Component: ms_transepithelial_volume_flux

$J_ms_v = L_ms_v RT (Osm_m − Osm_s)$

Component: sc_transepithelial_volume_flux

$J_sc_v = L_sc_v RT (Osm_s − Osm_c)$

Component: total_transepithelial_volume_flux

$J_v = J_mc_v + J_ms_v$