Model Mathematics

Component: environment

Component: EGF

Component: pro_EGFR

Component: EGFR

dd time EGFR = k2_EGF_EGFR ⁢ EGF_EGFR + EGFR_turnover ⁢ pro_EGFR - EGFR - k1_EGF_EGFR ⁢ EGF ⁢ EGFR

Component: EGF_EGFR

dd time EGF_EGFR = k1_EGF_EGFR ⁢ EGF ⁢ EGFR - k2_EGF_EGFR ⁢ EGF_EGFR + k1_EGFR_phosphorylation ⁢ EGF_EGFR

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