Model Mathematics

\frac{d}{d time} (q_L) = - v_Re1 \frac{d}{d time} (q_K1) = (- v_Re1) + v_Re5 \frac{d}{d time} (q_K2) = (- v_Re2) + v_Re5 \frac{d}{d time} (q_LK1) = v_Re1 - v_Re2 \frac{d}{d time} (q_P) = - v_Re3 \frac{d}{d time} (q_LK1K2) = v_Re2 - v_Re3 \frac{d}{d time} (q_LK1K2P) = v_Re3 - v_Re4 \frac{d}{d time} (q_Ubiq) = - v_Re4 \frac{d}{d time} (q_LKKPU) = v_Re4 - v_Re5 - v_Re6 \frac{d}{d time} (q_LKKPUtag) = v_Re6 \frac{d}{d time} (q_LPUtag) = v_Re5

mu_L = R T \ln (K_L q_L) mu_K1 = R T \ln (K_K1 q_K1) mu_K2 = R T \ln (K_K2 q_K2) mu_LK1 = R T \ln (K_LK1 q_LK1) mu_P = R T \ln (K_P q_P) mu_LK1K2 = R T \ln (K_LK1K2 q_LK1K2) mu_LK1K2P = R T \ln (K_LK1K2P q_LK1K2P) mu_Ubiq = R T \ln (K_Ubiq q_Ubiq) mu_LKKPU = R T \ln (K_LKKPU q_LKKPU) mu_LKKPUtag = R T \ln (K_LKKPUtag q_LKKPUtag) mu_LPUtag = R T \ln (K_LPUtag q_LPUtag) v_Re1 = kappa_Re1 (ⅇ^{\frac{mu_L + mu_K1}{R T}} - (ⅇ^{\frac{mu_LK1}{R T}})) v_Re2 = kappa_Re2 (ⅇ^{\frac{mu_LK1 + mu_K2}{R T}} - (ⅇ^{\frac{mu_LK1K2}{R T}})) v_Re3 = kappa_Re3 (ⅇ^{\frac{mu_P + mu_LK1K2}{R T}} - (ⅇ^{\frac{mu_LK1K2P}{R T}})) v_Re4 = kappa_Re4 (ⅇ^{\frac{mu_Ubiq + mu_LK1K2P}{R T}} - (ⅇ^{\frac{mu_LKKPU}{R T}})) v_Re5 = kappa_Re5 (ⅇ^{\frac{mu_LKKPU}{R T}} - (ⅇ^{\frac{mu_K1 + mu_K2 + mu_LPUtag}{R T}})) v_Re6 = kappa_Re6 (ⅇ^{\frac{mu_LKKPU}{R T}} - (ⅇ^{\frac{mu_LKKPUtag}{R T}}))