Model Mathematics

\frac{d}{d time} (q_PLB) = v_PLBd2 - v_PLBph1 \frac{d}{d time} (q_PKACI) = v_PLBph2 - v_PLBph1 \frac{d}{d time} (q_PLB_PKACI) = v_PLBph1 - v_PLBph2 \frac{d}{d time} (q_PP1) = v_PLBd2 - v_PLBd1 - v_Inh \frac{d}{d time} (q_PLBp_PP1) = v_PLBd1 - v_PLBd2 \frac{d}{d time} (q_PLBp) = v_PLBph2 - v_PLBd1 \frac{d}{d time} (q_Ip) = - v_Inh \frac{d}{d time} (q_Ip_PP1) = v_Inh

mu_PLB = R T \ln (K_PLB q_PLB) mu_PKACI = R T \ln (K_PKACI q_PKACI) mu_PLB_PKACI = R T \ln (K_PLB_PKACI q_PLB_PKACI) mu_PP1 = R T \ln (K_PP1 q_PP1) mu_PLBp_PP1 = R T \ln (K_PLBp_PP1 q_PLBp_PP1) mu_PLBp = R T \ln (K_PLBp q_PLBp) mu_Ip = R T \ln (K_Ip q_Ip) mu_Ip_PP1 = R T \ln (K_Ip_PP1 q_Ip_PP1) v_PLBph1 = kappa_PLBph1 (ⅇ^{\frac{mu_PLB + mu_PKACI}{R T}} - (ⅇ^{\frac{mu_PLB_PKACI}{R T}})) v_PLBph2 = kappa_PLBph2 (ⅇ^{\frac{mu_PLB_PKACI}{R T}} - (ⅇ^{\frac{mu_PLBp + mu_PKACI}{R T}})) v_PLBd1 = kappa_PLBd1 (ⅇ^{\frac{mu_PLBp + mu_PP1}{R T}} - (ⅇ^{\frac{mu_PLBp_PP1}{R T}})) v_PLBd2 = kappa_PLBd2 (ⅇ^{\frac{mu_PLBp_PP1}{R T}} - (ⅇ^{\frac{mu_PLB + mu_PP1}{R T}})) v_Inh = kappa_Inh (ⅇ^{\frac{mu_PP1 + mu_Ip}{R T}} - (ⅇ^{\frac{mu_Ip_PP1}{R T}}))