Model Mathematics

Component: environment

Component: NGF

Component: pro_TrkA

Component: TrkA

dd time TrkA = k2_NGF_TrkA ⁢ NGF_TrkA + TrkA_turnover ⁢ pro_TrkA - TrkA - k1_NGF_TrkA ⁢ NGF ⁢ TrkA

Component: NGF_TrkA

dd time NGF_TrkA = k1_NGF_TrkA ⁢ NGF ⁢ TrkA - k2_NGF_TrkA ⁢ NGF_TrkA + k1_TrkA_phosphorylation ⁢ NGF_TrkA

Component: pTrkA

dd time pTrkA = k1_TrkA_phosphorylation ⁢ NGF_TrkA + k1_Akt_phosphorylation ⁢ pTrkA_Akt + k2_pTrkA_Akt ⁢ pTrkA_Akt - k1_pTrkA_degradation ⁢ pTrkA + k1_pTrkA_Akt ⁢ pTrkA ⁢ Akt

Component: pTrkA_Akt

dd time pTrkA_Akt = k1_pTrkA_Akt ⁢ pTrkA ⁢ Akt - k2_pTrkA_Akt ⁢ pTrkA_Akt + k1_Akt_phosphorylation ⁢ pTrkA_Akt

Component: Akt

dd time Akt = k2_pTrkA_Akt ⁢ pTrkA_Akt + k1_pAkt_dephosphorylation ⁢ pAkt - k1_pTrkA_Akt ⁢ pTrkA ⁢ Akt

Component: pAkt

dd time pAkt = k1_Akt_phosphorylation ⁢ pTrkA_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: pTrkA_total

pTrkA_total = pTrkA + pTrkA_Akt ⁢ pTrkA_scalefactor

Component: pAkt_total

pAkt_total = pAkt + pAkt_S6 ⁢ pAkt_scalefactor

Component: pS6_total

pS6_total = pS6 ⁢ pS6_scalefactor

Component: model_parameters