Model Mathematics

\frac{d}{d t} (Ca_ext) = \frac{Ca_pump Vmax1 Ca}{km1 + Ca} - (Extracell_Leak Ca_ext p2) - (Cap_channel_star p4 Ca_ext) \frac{d}{d t} (Ca) = ((- (\frac{Ca_pump Vmax1 Ca}{km1 + Ca} - (Extracell_Leak Ca_ext p2) - (Cap_channel_star p4 Ca_ext))) + Stores_Leak Ca_stores p3 + IP3R_star Ca_stores p4 - (Ca Ca Ca_transp kf7)) + Ca2Ca_transp kb7 \frac{d}{d t} (Cap_channel) = Ca_stores Cap_channel_star kf8 - (Cap_channel kb8) \frac{d}{d t} (Cap_channel_star) = (- Ca_stores) Cap_channel_star kf8 + Cap_channel kb8 - (Cap_channel_star p4 Ca_ext) \frac{d}{d t} (IP3R) = IP3R_star kb9 - (IP3 IP3 IP3 IP3R kf9) \frac{d}{d t} (IP3) = IP3R_star kb9 - (IP3 IP3 IP3 IP3R kf9) \frac{d}{d t} (IP3R_star) = (- IP3R_star) kb9 + IP3 IP3 IP3 IP3R kf9 - (IP3R_star Ca_stores p5) \frac{d}{d t} (Ca_stores) = ((- Stores_Leak) Ca_stores p3 - (IP3R_star Ca_stores p4) - (Ca_stores Cap_channel_star kf8)) + Cap_channel kb8 + Ca2Ca_transp kf6 \frac{d}{d t} (Ca_transp) = (- Ca) Ca Ca_transp kf7 + Ca2Ca_transp kb7 + Ca2Ca_transp kf6 \frac{d}{d t} (Ca2Ca_transp) = Ca Ca Ca_transp kf7 - (Ca2Ca_transp kb7) - (Ca2Ca_transp kf6)