Model Mathematics

\frac{d}{d time} (G_a) = k1 + k2 G_a - (\frac{k3 G_a PLC}{G_a + K4}) - (\frac{k5 Ca_cyt G_a}{G_a + K6})

\frac{d}{d time} (PLC) = k7 G_a - (\frac{k8 PLC}{PLC + K9})

\frac{d}{d time} (Ca_ER) = (- (Ca_ER - Ca_cyt)) \frac{k10 Ca_cyt {PLC}^{4}}{{PLC}^{4} + {K11}^{4}} + \frac{k16 Ca_cyt}{Ca_cyt + K17}

\frac{d}{d time} (Ca_mit) = \frac{k18 {Ca_cyt}^{8}}{{K19}^{8} + {Ca_cyt}^{8}} - ((Ca_mit - Ca_cyt) \frac{k20 Ca_cyt}{Ca_cyt + K21})

\frac{d}{d time} (Ca_cyt) = ((Ca_ER - Ca_cyt) \frac{k10 Ca_cyt {PLC}^{4}}{{PLC}^{4} + {K11}^{4}} + k12 PLC + k13 G_a - (\frac{k14 Ca_cyt}{K15 + Ca_cyt}) - (\frac{k16 Ca_cyt}{K17 + Ca_cyt}) - (\frac{k18 {Ca_cyt}^{8}}{{K19}^{8} + {Ca_cyt}^{8}})) + (Ca_mit - Ca_cyt) \frac{k20 Ca_cyt}{Ca_cyt + K21}

\frac{d}{d time} (Enz) = \frac{k_act {Ca_cyt}^{p}}{{K_M}^{p} + {Ca_cyt}^{p}} - (k_inact Enz)

\frac{d}{d time} (Pro) = k_enz Enz - (k_rem Pro)