Model Mathematics

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

Source
Derived from workspace Fujita, Toyoshima, Uda, Ozaki, Kubota and Kuroda 2010 at changeset a637829d1d26.
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