Model Mathematics

\frac{d}{d t} (PIP2) = \frac{(- CaPLC) Vmax7 PIP2}{km7 + PIP2} - (\frac{CaGqPLC Vmax6 PIP2}{km6 + PIP2}) \frac{d}{d t} (DAG) = \frac{CaPLC Vmax7 PIP2}{km7 + PIP2} - (kf8 DAG) \frac{d}{d t} (IP3) = \frac{CaGqPLC Vmax6 PIP2}{km6 + PIP2} - (kf9 IP3) \frac{d}{d t} (PC) = kf8 DAG \frac{d}{d t} (Inositol) = kf9 IP3

\frac{d}{d t} (PLC) = ((- PLC) Ca kf1 + CaPLC kb1 - (PLC Gq kf2)) + GqPLC kb2 \frac{d}{d t} (Gq) = (- PLC) Gq kf2 + GqPLC kb2 + CaGqPLC kb4 - (CaPLC Gq kf4) \frac{d}{d t} (Ca) = ((- PLC) Ca kf1 + CaPLC kb1 - (Ca GqPLC kf3)) + CaGqPLC kb3 \frac{d}{d t} (GqPLC) = (PLC Gq kf2 - (GqPLC kb2) - (Ca GqPLC kf3)) + CaGqPLC kb3 \frac{d}{d t} (CaPLC) = (PLC Ca kf1 - (CaPLC kb1)) + CaGqPLC kf5 + CaGqPLC kb4 - (CaPLC Gq kf4) \frac{d}{d t} (CaGqPLC) = (GqPLC Ca kf3 - (CaGqPLC kb3)) + CaPLC Gq kf4 - (CaGqPLC kb4) - (CaGqPLC kf5)