Model Mathematics

v1 = kshed_eff MT1 MT1 v2 = kon_MT1T2 MT1 T2 - (ki_MT1T2 kon_MT1T2 MT1T2) v3 = kon_MT1T2M2P MT1T2 M2P - (koff_MT1T2M2P MT1T2M2P) v4 = kact_eff_m2 MT1 MT1T2M2P v5 = kon_M2T2 M2 T2 - (kon_M2T2 ki_M2T2 M2T2) v6 = kiso_M2T2 M2T2 - (k_iso_M2T2 M2T2star) v7 = kon_M2C1 M2 C1 - (koff_M2C1 M2C1) v8 = kcat_M2C1 M2C1 v9 = \frac{kcat_MT1C1}{km_MT1C1} MT1 C1 \frac{d}{d time} (MT1) = - v1 - v2 \frac{d}{d time} (MT1cat) = v1 \frac{d}{d time} (MT1T2) = v2 - v3 \frac{d}{d time} (MT1T2M2P) = v3 - v4 \frac{d}{d time} (M2P) = - v3 \frac{d}{d time} (M2) = v4 - v5 - v7 \frac{d}{d time} (M2T2) = v5 - v6 \frac{d}{d time} (M2T2star) = v6 \frac{d}{d time} (M2C1) = v7 - v8 \frac{d}{d time} (C1) = - v7 - v9 \frac{d}{d time} (C1dmt1) = v9 \frac{d}{d time} (C1dm2) = v8 \frac{d}{d time} (T2) = - v2 - v5