Model Mathematics

Component: environment

Component: beta_1_adrenergic_parameters

L_iso=1iftime>120time7201otherwise

Component: muscarinic_parameters

L_ach=0iftime>240time5400otherwise

Component: PDE_parameters

Component: G_s_parameters

Component: G_i_parameters

Component: caveolar_beta_1_adrenergic_receptor_module

R=R_Total-LR-LRG-RG LR=L_isoRK_L LRG=L_isoRGK_HK_CK_L RG=RGK_C

Component: caveolar_muscarinic_receptor_module

R=R_Total-LR-LRG-RG LR=L_achRK_L LRG=L_achRGK_HK_CK_L RG=RGK_C

Component: caveolar_G_s_protein_activation_module

ddtimeGs_alpha_GTP=RGk_act2+LRGk_act1-Gs_alpha_GTPk_hydr ddtimeGs_beta_gamma=RGk_act2+LRGk_act1-Gs_alpha_GDPGs_beta_gammak_reas ddtimeGs_alpha_GDP=Gs_alpha_GTPk_hydr-Gs_alpha_GDPGs_beta_gammak_reas Gs_alpha_beta_gamma=Gs_Total-Gs_alpha_GTP-Gs_alpha_GDP

Component: caveolar_G_i_protein_activation_module

ddtimeGi_alpha_GTP=RGk_act2+LRGk_act1-Gi_alpha_GTPk_hydr ddtimeGi_beta_gamma=RGk_act2+LRGk_act1-Gi_alpha_GDPGi_beta_gammak_reas ddtimeGi_alpha_GDP=Gi_alpha_GTPk_hydr-Gi_alpha_GDPGi_beta_gammak_reas Gi_alpha_beta_gamma=Gi_Total-Gi_alpha_GTP-Gi_alpha_GDP

Component: extracaveolar_beta_1_adrenergic_receptor_module

R=R_Total-LR-LRG-RG LR=L_isoRK_L LRG=L_isoRGK_HK_CK_L RG=RGK_C

Component: extracaveolar_muscarinic_receptor_module

R=R_Total-LR-LRG-RG LR=L_achRK_L LRG=L_achRGK_HK_CK_L RG=RGK_C

Component: extracaveolar_G_s_protein_activation_module

ddtimeGs_alpha_GTP=RGk_act2+LRGk_act1-Gs_alpha_GTPk_hydr ddtimeGs_beta_gamma=RGk_act2+LRGk_act1-Gs_alpha_GDPGs_beta_gammak_reas ddtimeGs_alpha_GDP=Gs_alpha_GTPk_hydr-Gs_alpha_GDPGs_beta_gammak_reas Gs_alpha_beta_gamma=Gs_Total-Gs_alpha_GTP-Gs_alpha_GDP

Component: extracaveolar_G_i_protein_activation_module

ddtimeGi_alpha_GTP=RGk_act2+LRGk_act1-Gi_alpha_GTPk_hydr ddtimeGi_beta_gamma=RGk_act2+LRGk_act1-Gi_alpha_GDPGi_beta_gammak_reas ddtimeGi_alpha_GDP=Gi_alpha_GTPk_hydr-Gi_alpha_GDPGi_beta_gammak_reas Gi_alpha_beta_gamma=Gi_Total-Gi_alpha_GTP-Gi_alpha_GDP

Component: AC56_module

k_AC56=0.7+3.8234Gs_alpha_GTP10.97870.1986+Gs_alpha_GTP10.97871+11.4432-1.0061Gi_alpha_GTP10.83560.1918+Gi_alpha_GTP10.8356MW_AC56600.001 dcAMP_AC_56_dt=k_AC56AC_56AF56ATPKm_ATP+ATP

Component: AC47_ecav_module

k_AC47_ecav=0.063+2.01Gs_alpha_GTP10001.004331.544+Gs_alpha_GTP10001.00431+13.0149.1Gi_beta_gamma10000.892125.44+Gi_beta_gamma10000.8921MW_AC47600.001 dcAMP_AC_47_ecav_dt=k_AC47_ecavAC_47_ecavAF47ATPKm_ATP+ATP

Component: AC47_cyt_module

dcAMP_AC_47_cyt_dt=k_AC47_cytAC_47_cytAF47ATPKm_ATP+ATP

Component: caveolar_PDE_module

dcAMP_cav_PDE2_dt=k_PDE2PDE2cAMP_cavKm_PDE2+cAMP_cav dcAMP_cav_PDE3_dt=k_PDE3PDE3cAMP_cavKm_PDE3+cAMP_cav dcAMP_cav_PDE4_dt=k_PDE4PDE4cAMP_cavKm_PDE4+cAMP_cav

Component: extracaveolar_PDE_module

dcAMP_ecav_PDE2_dt=k_PDE2PDE2cAMP_ecavKm_PDE2+cAMP_ecav dcAMP_ecav_PDE4_dt=k_PDE4PDE4cAMP_ecavKm_PDE4+cAMP_ecav

Component: bulk_cytoplasmic_PDE_module

dcAMP_cyt_PDE2_dt=k_PDE2PDE2cAMP_cytKm_PDE2+cAMP_cyt dcAMP_cyt_PDE3_dt=k_PDE3PDE3cAMP_cytKm_PDE3+cAMP_cyt dcAMP_cyt_PDE4_dt=k_PDE4PDE4cAMP_cytKm_PDE4+cAMP_cyt

Component: cAMP_flux_module

V_cav=0.01V_cell V_ecav=0.02V_cell V_cyt=0.5V_cell ddtimecAMP_cav=dcAMP_AC_56_dt-dcAMP_cav_PDE2_dt+dcAMP_cav_PDE3_dt+dcAMP_cav_PDE4_dt-J_cav_ecavcAMP_cav-cAMP_ecavV_cav-J_cav_cytcAMP_cav-cAMP_cytV_cav ddtimecAMP_ecav=dcAMP_AC_47_ecav_dt-dcAMP_ecav_PDE2_dt+dcAMP_ecav_PDE4_dt+J_cav_ecavcAMP_cav-cAMP_ecavV_ecav-J_ecav_cytcAMP_ecav-cAMP_cytV_ecav ddtimecAMP_cyt=dcAMP_AC_47_cyt_dt-dcAMP_cyt_PDE2_dt+dcAMP_cyt_PDE3_dt+dcAMP_cyt_PDE4_dt+J_cav_cytcAMP_cav-cAMP_cytV_cyt+J_ecav_cytcAMP_ecav-cAMP_cytV_cyt