Model Mathematics

\frac{d}{d t} (GTPRasRaf_star) = GTPRas Raf_star kf5 - (GTPRasRaf_star kb5) \frac{d}{d t} (GTPRas) = (- GTPRas) Raf_star kf5 + GTPRasRaf_star kb5 \frac{d}{d t} (Raf) = \frac{(- PKC) Raf Vmax1}{km1 + Raf} + \frac{Raf_star PP2A Vmax3}{km3 + Raf_star} \frac{d}{d t} (Raf_star) = (\frac{PKC Raf Vmax1}{km1 + Raf} - (\frac{Raf_star PP2A Vmax3}{km3 + Raf_star}) - (\frac{Raf_star MAPK_star Vmax2}{km2 + Raf_star})) + \frac{Raf_star_star PP2A Vmax4}{km4 + Raf_star_star} \frac{d}{d t} (Raf_star_star) = \frac{Raf_star MAPK_star Vmax2}{km2 + Raf_star} - (\frac{Raf_star_star PP2A Vmax4}{km4 + Raf_star_star})

\frac{d}{d t} (MAPKK) = \frac{(- MAPKK) Vmax6 GTPRasRaf_star}{km6 + MAPKK} + \frac{MAPKK_star Vmax8 PP2A}{km8 + MAPKK_star} \frac{d}{d t} (MAPKK_star) = (\frac{MAPKK Vmax6 GTPRasRaf_star}{km6 + MAPKK} - (\frac{MAPKK_star Vmax8 PP2A}{km8 + MAPKK_star}) - (\frac{MAPKK_star Vmax7 GTPRasRaf_star}{km7 + MAPKK_star})) + \frac{MAPKK_star_star Vmax9 PP2A}{km9 + MAPKK_star_star} \frac{d}{d t} (MAPKK_star_star) = \frac{MAPKK_star Vmax7 GTPRasRaf_star}{km7 + MAPKK_star} - (\frac{MAPKK_star_star Vmax9 PP2A}{km9 + MAPKK_star_star})

\frac{d}{d t} (MAPK) = \frac{(- MAPK) Vmax10 MAPKK_star_star}{km10 + MAPK} + \frac{MAPK_tyr Vmax12 MKP1}{km12 + MAPK_tyr} \frac{d}{d t} (MAPK_tyr) = (\frac{MAPK Vmax10 MAPKK_star_star}{km10 + MAPK} - (\frac{MAPK_tyr Vmax12 MKP1}{km12 + MAPK_tyr}) - (\frac{MAPK_tyr Vmax11 MAPKK_star_star}{km11 + MAPK_tyr})) + \frac{MAPK_star Vmax13 MKP1}{km13 + MAPK_star} \frac{d}{d t} (MAPK_star) = \frac{MAPK_tyr Vmax11 MAPKK_star_star}{km11 + MAPK_tyr} - (\frac{MAPK_star Vmax13 MKP1}{km13 + MAPK_star})