Model Mathematics

\frac{d}{d time} (P_C1) = (- (ka {Cai}^{n} P_C1)) + ka_P_O1

\frac{d}{d time} (P_O1) = ka {Cai}^{n} P_C1 + (- (ka_P_O1 + kb {Cai}^{m} P_O1)) + kb_P_O2 + (- (kc P_O1)) + kc_P_C2

\frac{d}{d time} (P_O2) = (- (kb {Cai}^{m} P_O1)) + kb_P_O2

\frac{d}{d time} (P_C2) = kc P_O1 - (kc_P_C2)

P_O_slow = \frac{w (1.0 + {(\frac{Cai}{Kb})}^{3.0})}{1.0 + {(\frac{Ka}{Cai})}^{4.0} + {(\frac{Cai}{Kb})}^{3.0}} w_init = 1.0 - P_C2 w_infinity_Cai = \frac{1.0 + {(\frac{Ka}{Cai})}^{4.0} + {(\frac{Cai}{Kb})}^{3.0}}{1.0 + \frac{1.0}{Kc} + {(\frac{Ka}{Cai})}^{4.0} + {(\frac{Cai}{Kb})}^{3.0}} tau_Cai = \frac{w_infinity_Cai}{kc_} Ka = \frac{ka_}{ka} Kb = \frac{kb_}{kb} Kc = \frac{kc_}{kc} \frac{d}{d time} (w) = \frac{- (w - (w_infinity_Cai Cai))}{tau_Cai Cai}

\frac{d}{d time} (Cai) = fi ((v1 P_O_slow + v2) (Cas - Cai) - (v3 \frac{{Cai}^{2.0}}{{Cai}^{2.0} + {K3}^{2.0}})) Cas = \frac{Co - Cai}{c1}