Model Mathematics

\frac{d}{d t} (PLA2_cyt) = ((PLA2_star kf10 - (PIP2_star PLA2_cyt kf1)) + PIP2PLA2 kb1 - (Ca PLA2_cyt kf3)) + CaPLA2 kb3 - (\frac{MAPK Vmax9 PLA2_cyt}{km9 + PLA2_cyt}) \frac{d}{d t} (PIP2PLA2) = PIP2_star PLA2_cyt kf1 - (PIP2PLA2 kb1) \frac{d}{d t} (PIP2_star) = (- PIP2_star) PLA2_cyt kf1 + PIP2PLA2 kb1 \frac{d}{d t} (PLA2_star) = ((- PLA2_star) kf10 + \frac{MAPK Vmax9 PLA2_cyt}{km9 + PLA2_cyt} - (Ca PLA2_star kf11)) + CaPLA2_star kb11 \frac{d}{d t} (Ca) = ((- Ca) PLA2_star kf11 + CaPLA2_star kb11 - (Ca PLA2_cyt kf3)) + CaPLA2 kb3 \frac{d}{d t} (CaPLA2_star) = Ca PLA2_star kf11 - (CaPLA2_star kb11) \frac{d}{d t} (CaPLA2) = ((Ca PLA2_cyt kf3 - (CaPLA2 kb3) - (DAG CaPLA2 kf7)) + DAGCaPLA2 kb7 - (PIP2_star CaPLA2 kf5)) + PIP2CaPLA2 kb5 \frac{d}{d t} (DAG) = (- DAG) CaPLA2 kf7 + DAGCaPLA2 kb7 \frac{d}{d t} (PIP2_star) = (- PIP2_star) CaPLA2 kf5 + PIP2CaPLA2 kb5 \frac{d}{d t} (PIP2CaPLA2) = PIP2_star CaPLA2 kf5 - (PIP2CaPLA2 kb5) \frac{d}{d t} (DAGCaPLA2) = DAG CaPLA2 kf7 - (DAGCaPLA2 kb7)

\frac{d}{d t} (AA) = (- AA) kf13 + \frac{CaPLA2_star Vmax12 APC}{km12 + APC} + \frac{CaPLA2 Vmax4 APC}{km4 + APC} + \frac{DAGCaPLA2 Vmax8 APC}{km8 + APC} + \frac{PIP2CaPLA2 Vmax6 APC}{km6 + APC} + \frac{PIP2PLA2 Vmax2 APC}{km2 + APC} \frac{d}{d t} (APC) = AA kf13 - (\frac{CaPLA2_star Vmax12 APC}{km12 + APC} + \frac{CaPLA2 Vmax4 APC}{km4 + APC} + \frac{DAGCaPLA2 Vmax8 APC}{km8 + APC} + \frac{PIP2CaPLA2 Vmax6 APC}{km6 + APC} + \frac{PIP2PLA2 Vmax2 APC}{km2 + APC})