Model Mathematics

mu_Ki = R T \ln (K_Ki q_Ki) mu_Ko = R T \ln (K_Ko q_Ko) mu_Pi = R T \ln (K_Pi q_Pi) mu_ATPi = R T \ln (K_ATPi q_ATPi) mu_Hi = R T \ln (K_Hi q_Hi) mu_Ho = R T \ln (K_Ho q_Ho) mu_ADPi = R T \ln (K_ADPi q_ADPi) q_Ki = q_init_Ki q_Ko = q_init_Ko q_Pi = q_init_Pi q_ATPi = q_init_ATPi q_Hi = q_init_Hi q_Ho = q_init_Ho q_ADPi = q_init_ADPi mu_1 = R T \ln (K_1 q_1) \frac{d}{d t} (q_1) = v_1 mu_2 = R T \ln (K_2 q_2) \frac{d}{d t} (q_2) = v_2 mu_3 = R T \ln (K_3 q_3) \frac{d}{d t} (q_3) = v_3 mu_4 = R T \ln (K_4 q_4) \frac{d}{d t} (q_4) = v_4 v_r1 = kappa_r1 (ⅇ^{\frac{A_f_r1}{R T}} - (ⅇ^{\frac{A_r_r1}{R T}})) v_r2 = kappa_r2 (ⅇ^{\frac{A_f_r2}{R T}} - (ⅇ^{\frac{A_r_r2}{R T}})) v_r3 = kappa_r3 (ⅇ^{\frac{A_f_r3}{R T}} - (ⅇ^{\frac{A_r_r3}{R T}})) v_r4 = kappa_r4 (ⅇ^{\frac{A_f_r4}{R T}} - (ⅇ^{\frac{A_r_r4}{R T}})) v_1 = v_r4 - v_r1 v_2 = v_r1 - v_r2 v_3 = v_r2 - v_r3 v_4 = v_r3 - v_r4 A_f_r1 = mu_1 + mu_Ko A_r_r1 = mu_2 + mu_Pi A_f_r2 = mu_2 + mu_ATPi A_r_r2 = mu_3 + mu_Ki A_f_r3 = mu_3 + mu_Hi A_r_r3 = mu_4 + mu_ADPi A_f_r4 = mu_4 A_r_r4 = mu_1 + mu_Ho

q_init_Ko = K_o V_o q_init_Ki = K_i V_i q_init_Pi = Pi V_i q_init_ATPi = ATPi V_i q_init_Hi = Hi V_i q_init_Ho = Ho V_i q_init_ADPi = ADPi V_i