Model Mathematics

\frac{d}{d t} (EGF) = (- kf1) EGF EGFR + kb1 EGF_EGFR \frac{d}{d t} (EGFR) = (- kf1) EGF EGFR + kb1 EGF_EGFR \frac{d}{d t} (EGF_EGFR) = (kf1 EGF EGFR - (kb1 EGF_EGFR) - (kf2 EGF_EGFR)) + kb2 EGF_EGFR_INTERNAL \frac{d}{d t} (EGF_EGFR_INTERNAL) = kf2 EGF_EGFR - (kb2 EGF_EGFR_INTERNAL)

\frac{d}{d t} (SHCstar) = (\frac{EGF_EGFR Vmax3 SHC}{km3 + SHC} - (kf6 SHCstar SOS_GRB2)) + kb6 SHCstar_SOS_GRB2 \frac{d}{d t} (SHC) = kf4 SHCstar - (kb4 SHC) - (\frac{EGF_EGFR Vmax3 SHC}{km3 + SHC}) \frac{d}{d t} (SHCstar_SOS_GRB2) = kf6 SHCstar SOS_GRB2 - (kb6 SHCstar_SOS_GRB2) \frac{d}{d t} (SOS_GRB2) = ((- kf6) SHCstar SOS_GRB2 + kb6 SHCstar_SOS_GRB2 - (kb5 SOS_GRB2)) + kf5 SOS GRB2 \frac{d}{d t} (SOS) = kf8 SOSstar - (kb8 SOS) - (\frac{MAPK Vmax9 SOS}{km9 + SOS}) \frac{d}{d t} (SOSstar) = ((- kf8) SOSstar + kb8 SOS + \frac{MAPK Vmax9 SOS}{km9 + SOS} - (kf10 SOSstar GRB2)) + kb10 SOSstar_GRB2 \frac{d}{d t} (SOSstar_GRB2) = kf10 SOSstar GRB2 - (kb10 SOSstar_GRB2)

\frac{d}{d t} (GDP_ras) = \frac{(- SOSstar_GRB2) Vmax7 GDP_ras}{km7 + GDP_ras} \frac{d}{d t} (GTP_ras) = \frac{SOSstar_GRB2 Vmax7 GDP_ras}{km7 + GDP_ras}