Model Mathematics

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Component: environment

\frac{d}{d time} (q_ATP) = - v_1a - v_3a - v_2a \frac{d}{d time} (q_AC) = v_1b - v_1a - v_6 - v_7 - v_GiAC \frac{d}{d time} (q_AC_ATP) = v_1a - v_1b \frac{d}{d time} (q_cAMP) = v_1b + v_3b + v_2b - v_4a \frac{d}{d time} (q_FSK) = - v_7 \frac{d}{d time} (q_FSK_AC) = v_7 + v_3b - v_3a \frac{d}{d time} (q_FSK_AC_ATP) = v_3a - v_3b \frac{d}{d time} (q_Gsa_GTP) = - v_6 \frac{d}{d time} (q_Gsa_GTP_AC) = (v_6 - v_2a) + v_2b \frac{d}{d time} (q_Gsa_GTP_AC_ATP) = v_2a - v_2b \frac{d}{d time} (q_PDE_cAMP) = v_4a - v_4b \frac{d}{d time} (q_PDE) = v_4b - v_4a - v_5 \frac{d}{d time} (q_IBMX) = - v_5 \frac{d}{d time} (q_PDEinh) = v_5 \frac{d}{d time} (q_five_AMP) = v_4b \frac{d}{d time} (q_Gia_GTP) = - v_GiAC \frac{d}{d time} (q_ACinh) = v_GiAC \frac{d}{d time} (q_PPi) = v_GiAC

Component: cAMP_parameters

Component: cAMP

mu_ATP = R T \ln (K_ATP q_ATP) mu_cAMP = R T \ln (K_cAMP q_cAMP) mu_AC = R T \ln (K_AC q_AC) mu_AC_ATP = R T \ln (K_AC_ATP q_AC_ATP) mu_Gsa_GTP_AC = R T \ln (K_Gsa_GTP_AC q_Gsa_GTP_AC) mu_Gsa_GTP_AC_ATP = R T \ln (K_Gsa_GTP_AC_ATP q_Gsa_GTP_AC_ATP) mu_FSK_AC = R T \ln (K_FSK_AC q_FSK_AC) mu_FSK_AC_ATP = R T \ln (K_FSK_AC_ATP q_FSK_AC_ATP) mu_PDE = R T \ln (K_PDE q_PDE) mu_PDE_cAMP = R T \ln (K_PDE_cAMP q_PDE_cAMP) mu_five_AMP = R T \ln (K_five_AMP q_five_AMP) mu_IBMX = R T \ln (K_IBMX q_IBMX) mu_PDEinh = R T \ln (K_PDEinh q_PDEinh) mu_Gsa_GTP = R T \ln (K_Gsa_GTP q_Gsa_GTP) mu_FSK = R T \ln (K_FSK q_FSK) mu_Gia_GTP = R T \ln (K_Gia_GTP q_Gia_GTP) mu_ACinh = R T \ln (K_ACinh q_ACinh) mu_PPi = R T \ln (K_PPi q_PPi) v_1a = kappa_1a (ⅇ^{\frac{mu_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_AC_ATP}{R T}})) v_1b = kappa_1b (ⅇ^{\frac{mu_AC_ATP}{R T}} - (ⅇ^{\frac{mu_AC + mu_cAMP + mu_PPi}{R T}})) v_2a = kappa_2a (ⅇ^{\frac{mu_Gsa_GTP_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC_ATP}{R T}})) v_2b = kappa_2b (ⅇ^{\frac{mu_Gsa_GTP_AC_ATP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC + mu_cAMP + mu_PPi}{R T}})) v_3a = kappa_3a (ⅇ^{\frac{mu_FSK_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_FSK_AC_ATP}{R T}})) v_3b = kappa_3b (ⅇ^{\frac{mu_FSK_AC_ATP}{R T}} - (ⅇ^{\frac{mu_FSK_AC + mu_cAMP + mu_PPi}{R T}})) v_4a = kappa_4a (ⅇ^{\frac{mu_PDE + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_PDE_cAMP}{R T}})) v_4b = kappa_4b (ⅇ^{\frac{mu_PDE_cAMP}{R T}} - (ⅇ^{\frac{mu_PDE + mu_five_AMP}{R T}})) v_5 = kappa_5 (ⅇ^{\frac{mu_PDE + mu_IBMX}{R T}} - (ⅇ^{\frac{mu_PDEinh}{R T}})) v_6 = kappa_6 (ⅇ^{\frac{mu_AC + mu_Gsa_GTP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC}{R T}})) v_7 = kappa_7 (ⅇ^{\frac{mu_FSK + mu_AC}{R T}} - (ⅇ^{\frac{mu_FSK_AC}{R T}})) v_GiAC = kappa_GiAC (ⅇ^{\frac{mu_AC + mu_Gia_GTP}{R T}} - (ⅇ^{\frac{mu_ACinh}{R T}}))

Model Mathematics

Component: environment

Component: cAMP_parameters

Component: cAMP

Component: units

Component: constants