Model Mathematics

\frac{d}{d time} (Na_ext) = 100

plot = \frac{- Na_ext}{\frac{J_NHE3_Na}{J_NHE3_Na_Max}}

alpha_ext_Na = \frac{Na_ext}{K_Na} alpha_int_Na = \frac{Na_int}{K_Na} beta_ext_H = \frac{H_ext}{K_H} beta_int_H = \frac{H_int}{K_H} gamma_ext_NH4 = \frac{NH4_ext}{K_NH4} gamma_int_NH4 = \frac{NH4_int}{K_NH4} P_Na = \frac{P0_Na (f_M H_int + f_m K_I)}{H_int + K_I} P_H = \frac{P0_H (f_M H_int + f_m K_I)}{H_int + K_I} P_NH4 = \frac{P0_NH4 (f_M H_int + f_m K_I)}{H_int + K_I} sigma = (1 + alpha_ext_Na + beta_ext_H + gamma_ext_NH4) (P_Na alpha_int_Na + P_H beta_int_H + P_NH4 gamma_int_NH4) + (1 + alpha_int_Na + beta_int_H + gamma_int_NH4) (P_Na alpha_ext_Na + P_H beta_ext_H + P_NH4 gamma_ext_NH4) J_NHE3_Na = \frac{x_T}{sigma} (P_Na P_H (alpha_int_Na beta_ext_H - (alpha_ext_Na beta_int_H)) + P_Na P_NH4 (alpha_int_Na gamma_ext_NH4 - (alpha_ext_Na gamma_int_NH4))) J_NHE3_H = \frac{x_T}{sigma} (P_Na P_H (alpha_ext_Na beta_int_H - (alpha_int_Na beta_ext_H)) + P_H P_NH4 (beta_int_H gamma_ext_NH4 - (beta_ext_H gamma_int_NH4))) J_NHE3_NH4 = \frac{x_T}{sigma} (P_Na P_NH4 (alpha_ext_Na gamma_int_NH4 - (alpha_int_Na gamma_ext_NH4)) + P_H P_NH4 (beta_ext_H gamma_int_NH4 - (gamma_ext_NH4 beta_int_H))) J_NHE3_Na_Max = \frac{x_T P_Na P_H}{P_Na + P_H}