Model Mathematics

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Component: environment

q_ATP = q_ATP_mcAMP + q_ATP_init q_cAMP = q_cAMP_mcAMP + q_cAMP_init q_AC = q_AC_mcAMP + q_AC_init q_AC_ATP = q_AC_ATP_mcAMP + q_AC_ATP_init q_Gsa_GTP_AC = q_Gsa_GTP_AC_mcAMP + q_Gsa_GTP_AC_init q_Gsa_GTP_AC_ATP = q_Gsa_GTP_AC_ATP_mcAMP + q_Gsa_GTP_AC_ATP_init q_FSK_AC = q_FSK_AC_mcAMP + q_FSK_AC_init q_FSK_AC_ATP = q_FSK_AC_ATP_mcAMP + q_FSK_AC_ATP_init q_PDE = q_PDE_mcAMP + q_PDE_init q_PDE_cAMP = q_PDE_cAMP_mcAMP + q_PDE_cAMP_init q_five_AMP = q_five_AMP_mcAMP + q_five_AMP_init q_IBMX = q_IBMX_mcAMP + q_IBMX_init q_PDEinh = q_PDEinh_mcAMP + q_PDEinh_init q_Gsa_GTP = q_Gsa_GTP_mcAMP + q_Gsa_GTP_init q_FSK = q_FSK_mcAMP + q_FSK_init q_Gia_GTP = q_Gia_GTP_mcAMP + q_Gia_GTP_init q_ACinh = q_ACinh_mcAMP + q_ACinh_init q_PPi = q_PPi_mcAMP + q_PPi_init

Component: cAMP_parameters

Component: cAMP

mu_ATP = R T \ln (K_ATP q_ATP_global) mu_cAMP = R T \ln (K_cAMP q_cAMP_global) mu_AC = R T \ln (K_AC q_AC_global) mu_AC_ATP = R T \ln (K_AC_ATP q_AC_ATP_global) mu_Gsa_GTP_AC = R T \ln (K_Gsa_GTP_AC q_Gsa_GTP_AC_global) mu_Gsa_GTP_AC_ATP = R T \ln (K_Gsa_GTP_AC_ATP q_Gsa_GTP_AC_ATP_global) mu_FSK_AC = R T \ln (K_FSK_AC q_FSK_AC_global) mu_FSK_AC_ATP = R T \ln (K_FSK_AC_ATP q_FSK_AC_ATP_global) mu_PDE = R T \ln (K_PDE q_PDE_global) mu_PDE_cAMP = R T \ln (K_PDE_cAMP q_PDE_cAMP_global) mu_five_AMP = R T \ln (K_five_AMP q_five_AMP_global) mu_IBMX = R T \ln (K_IBMX q_IBMX_global) mu_PDEinh = R T \ln (K_PDEinh q_PDEinh_global) mu_Gsa_GTP = R T \ln (K_Gsa_GTP q_Gsa_GTP_global) mu_FSK = R T \ln (K_FSK q_FSK_global) mu_Gia_GTP = R T \ln (K_Gia_GTP q_Gia_GTP_global) mu_ACinh = R T \ln (K_ACinh q_ACinh_global) mu_PPi = R T \ln (K_PPi q_PPi_global) v1a = kappa_1a (ⅇ^{\frac{mu_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_AC_ATP}{R T}})) v1b = kappa_1b (ⅇ^{\frac{mu_AC_ATP}{R T}} - (ⅇ^{\frac{mu_AC + mu_cAMP + mu_PPi}{R T}})) v2a = kappa_2a (ⅇ^{\frac{mu_Gsa_GTP_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC_ATP}{R T}})) v2b = kappa_2b (ⅇ^{\frac{mu_Gsa_GTP_AC_ATP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC + mu_cAMP + mu_PPi}{R T}})) v3a = kappa_3a (ⅇ^{\frac{mu_FSK_AC + mu_ATP}{R T}} - (ⅇ^{\frac{mu_FSK_AC_ATP}{R T}})) v3b = kappa_3b (ⅇ^{\frac{mu_FSK_AC_ATP}{R T}} - (ⅇ^{\frac{mu_FSK_AC + mu_cAMP + mu_PPi}{R T}})) v4a = kappa_4a (ⅇ^{\frac{mu_PDE + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_PDE_cAMP}{R T}})) v4b = kappa_4b (ⅇ^{\frac{mu_PDE_cAMP}{R T}} - (ⅇ^{\frac{mu_PDE + mu_five_AMP}{R T}})) v5 = kappa_5 (ⅇ^{\frac{mu_PDE + mu_IBMX}{R T}} - (ⅇ^{\frac{mu_PDEinh}{R T}})) v6 = kappa_6 (ⅇ^{\frac{mu_AC + mu_Gsa_GTP}{R T}} - (ⅇ^{\frac{mu_Gsa_GTP_AC}{R T}})) v7 = kappa_7 (ⅇ^{\frac{mu_FSK + mu_AC}{R T}} - (ⅇ^{\frac{mu_FSK_AC}{R T}})) vGiAC = kappa_GiAC (ⅇ^{\frac{mu_AC + mu_Gia_GTP}{R T}} - (ⅇ^{\frac{mu_ACinh}{R T}})) \frac{d}{d time} (q_ATP) = - v1a - v3a - v2a \frac{d}{d time} (q_AC) = v1b - v1a - v6 - v7 - vGiAC \frac{d}{d time} (q_AC_ATP) = v1a - v1b \frac{d}{d time} (q_cAMP) = v1b + v3b + v2b - v4a \frac{d}{d time} (q_FSK) = - v7 \frac{d}{d time} (q_FSK_AC) = v7 + v3b - v3a \frac{d}{d time} (q_FSK_AC_ATP) = v3a - v3b \frac{d}{d time} (q_Gsa_GTP) = - v6 \frac{d}{d time} (q_Gsa_GTP_AC) = (v6 - v2a) + v2b \frac{d}{d time} (q_Gsa_GTP_AC_ATP) = v2a - v2b \frac{d}{d time} (q_PDE_cAMP) = v4a - v4b \frac{d}{d time} (q_PDE) = v4b - v4a - v5 \frac{d}{d time} (q_IBMX) = - v5 \frac{d}{d time} (q_PDEinh) = v5 \frac{d}{d time} (q_five_AMP) = v4b \frac{d}{d time} (q_Gia_GTP) = - vGiAC \frac{d}{d time} (q_ACinh) = vGiAC \frac{d}{d time} (q_PPi) = vGiAC

ATP_T = q_ATP_global + q_AC_ATP_global + q_FSK_AC_ATP_global + q_Gsa_GTP_AC_ATP_global AC_T = q_AC_global + q_AC_ATP_global + q_FSK_AC_global + q_FSK_AC_ATP_global + q_Gsa_GTP_AC_global + q_Gsa_GTP_AC_ATP_global Gs_T = q_Gsa_GTP_global + q_Gsa_GTP_AC_global + q_Gsa_GTP_AC_ATP_global cAMP_T = q_cAMP_global + q_PDE_cAMP_global + q_five_AMP

Model Mathematics

Component: environment

Component: cAMP_parameters

Component: cAMP

Component: units

Component: constants