Model Mathematics

\frac{d}{d t} (GEF_inact) = \frac{PKA Vmax1 GEF}{km1 + GEF} + \frac{PKC Vmax6 GEF}{km6 + GEF} - (kf2 GEF_inact) - (kf7 GEF_inact) \frac{d}{d t} (GEF) = ((- (\frac{PKA Vmax1 GEF}{km1 + GEF} + \frac{PKC Vmax6 GEF}{km6 + GEF} - (kf2 GEF_inact) - (kf7 GEF_inact)) - (kf5 Ca4CAM GEF)) + kb5 CaM_GEF - (kf8 GEF Gby)) + kb8 Gby_GEF \frac{d}{d t} (Gby) = (- kf8) GEF Gby + kb8 Gby_GEF \frac{d}{d t} (CaM_GEF) = (- kb5) CaM_GEF + kf5 GEF Ca4CAM \frac{d}{d t} (Ca4CAM) = - ((- kb5) CaM_GEF + kf5 GEF Ca4CAM) \frac{d}{d t} (Gby_GEF) = - ((- kf8) GEF Gby + kb8 Gby_GEF)

\frac{d}{d t} (GTP_RAS) = (\frac{(- GAP) Vmax13 GTP_RAS}{km13 + GTP_RAS} - (kf12 GTP_RAS)) + \frac{GEF_inact Vmax10 GDP_RAS}{km10 + GDP_RAS} + \frac{Gby_GEF Vmax11 GDP_RAS}{km11 + GDP_RAS} + \frac{CaM_GEF Vmax9 GDP_RAS}{km9 + GDP_RAS} \frac{d}{d t} (GDP_RAS) = - ((\frac{(- GAP) Vmax13 GTP_RAS}{km13 + GTP_RAS} - (kf12 GTP_RAS)) + \frac{GEF_inact Vmax10 GDP_RAS}{km10 + GDP_RAS} + \frac{Gby_GEF Vmax11 GDP_RAS}{km11 + GDP_RAS} + \frac{CaM_GEF Vmax9 GDP_RAS}{km9 + GDP_RAS})

\frac{d}{d t} (GAP) = \frac{(- PKC) Vmax3 GAP}{km3 + GAP} + kf4 GAPstar \frac{d}{d t} (GAPstar) = \frac{PKC Vmax3 GAP}{km3 + GAP} - (kf4 GAPstar)