Model Mathematics

Component: environment

Component: EGF

Component: inhibitor

Component: pro_EGFR

Component: EGFR

dd time EGFR = EGF_binding_kb EGF_EGFR + inhibitor_binding_kb EGFR_i + EGFR_turnover pro_EGFR - EGFR - EGF_binding_kf EGF EGFR + inhibitor_binding_kf inhibitor EGFR

Component: EGF_EGFR

dd time EGF_EGFR = EGF_binding_kf EGF EGFR + inhibitor_binding_kb EGF_EGFR_i - EGF_binding_kb EGF_EGFR + inhibitor_binding_kf inhibitor EGF_EGFR + k1_EGFR_phosphorylation EGF_EGFR

Component: EGFR_i

dd time EGFR_i = EGF_binding_kb EGF_EGFR_i + inhibitor_binding_kf inhibitor EGFR - EGF_binding_kf EGF EGFR_i + inhibitor_binding_kb EGFR_i + EGFR_turnover EGFR_i

Component: EGF_EGFR_i

dd time EGF_EGFR_i = EGF_binding_kf EGF EGFR_i + inhibitor_binding_kf inhibitor EGF_EGFR - EGF_binding_kb EGF_EGFR_i + inhibitor_binding_kb EGF_EGFR_i

Component: pEGFR

dd time pEGFR = k1_EGFR_phosphorylation EGF_EGFR + k1_Akt_phosphorylation pEGFR_Akt + k2_pEGFR_Akt pEGFR_Akt - k1_pEGFR_degradation pEGFR + k1_pEGFR_Akt pEGFR Akt

Component: pEGFR_Akt

dd time pEGFR_Akt = k1_pEGFR_Akt pEGFR Akt - k2_pEGFR_Akt pEGFR_Akt + k1_Akt_phosphorylation pEGFR_Akt

Component: Akt

dd time Akt = k2_pEGFR_Akt pEGFR_Akt + k1_pAkt_dephosphorylation pAkt - k1_pEGFR_Akt pEGFR Akt

Component: pAkt

dd time pAkt = k1_Akt_phosphorylation pEGFR_Akt + k2_pAkt_S6 pAkt_S6 + k1_S6_phosphorylation pAkt_S6 - k1_pAkt_dephosphorylation pAkt + k1_pAkt_S6 pAkt S6

Component: pAkt_S6

dd time pAkt_S6 = k1_pAkt_S6 pAkt S6 - k2_pAkt_S6 pAkt_S6 + k1_S6_phosphorylation pAkt_S6

Component: S6

dd time S6 = k2_pAkt_S6 pAkt_S6 + k1_pS6_dephosphorylation pS6 - k1_pAkt_S6 pAkt S6

Component: pS6

dd time pS6 = k1_S6_phosphorylation pAkt_S6 - k1_pS6_dephosphorylation pS6

Component: pEGFR_total

pEGFR_total = pEGFR + pEGFR_Akt pEGFR_scalefactor

Component: pAkt_total

pAkt_total = pAkt + pAkt_S6 pAkt_scalefactor

Component: pS6_total

pS6_total = pS6 pS6_scalefactor

Component: model_parameters