Model Mathematics

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Component: environment

Component: Model

\frac{d}{d t} (M2) = ((- kM2T2_on) M2 T2 + kM2T2_off M2T2 - (kM2C1_on M2 C1)) + (kM2C1_off + kM2C1_cat) M2C1 + kM2_act MT1T2M2proMT1 \frac{d}{d t} (MT1) = (((qMT1 - (kMT1_shedeff MT1 MT1) - (kMT1T2_on MT1 T2)) + kMT1T2_off MT1T2 - (kMT1C1_on MT1 C1)) + (kMT1C1_off + kMT1C1_cat) MT1C1 - (kMT1T2M2proMT1_on MT1 MT1T2M2pro)) + kMT1T2M2proMT1_off MT1T2M2proMT1 + kM2_act MT1T2M2proMT1 \frac{d}{d t} (MT1_t) = kMT1_shedeff MT1 MT1 \frac{d}{d t} (MT1C1) = kMT1C1_on MT1 C1 - ((kMT1C1_off + kMT1C1_cat) MT1C1) \frac{d}{d t} (MT1T2) = (kMT1T2_on MT1 T2 - (kMT1T2_off MT1T2) - (kMT1T2M2pro_on MT1T2 M2_p)) + kMT1T2M2pro_off MT1T2M2pro \frac{d}{d t} (MT1T2M2pro) = (kMT1T2M2pro_on MT1T2 M2_p - (kMT1T2M2pro_off MT1T2M2pro) - (kMT1T2M2proMT1_on MT1 MT1T2M2pro)) + kMT1T2M2proMT1_off MT1T2M2proMT1 \frac{d}{d t} (MT1T2M2proMT1) = kMT1T2M2proMT1_on MT1 MT1T2M2pro - (kMT1T2M2proMT1_off MT1T2M2proMT1) - (kM2_act MT1T2M2proMT1) \frac{d}{d t} (C1) = ((- kMT1C1_on) MT1 C1 + kMT1C1_off MT1C1 - (kM2C1_on M2 C1)) + kM2C1_off M2C1 \frac{d}{d t} (C1_D) = kM2C1_cat M2C1 + kMT1C1_cat MT1C1 \frac{d}{d t} (MT1_cat) = kMT1_shedeff MT1 MT1 \frac{d}{d t} (T2) = ((- kM2T2_on) M2 T2 + kM2T2_off M2T2 + qT2 - (kMT1T2_on MT1 T2)) + kMT1T2_off MT1T2 \frac{d}{d t} (M2_p) = (qpro - (kMT1T2M2pro_on MT1T2 M2_p)) + kMT1T2M2pro_off MT1T2M2pro \frac{d}{d t} (M2T2) = (kM2T2_on M2 T2 - (kM2T2_off M2T2) - (kM2T2_iso M2T2)) + kM2T2_negativeiso M2T2_star \frac{d}{d t} (M2T2_star) = kM2T2_iso M2T2 - (kM2T2_negativeiso M2T2_star) \frac{d}{d t} (M2C1) = kM2C1_on M2 C1 - ((kM2C1_off + kM2C1_cat) M2C1) \frac{d}{d t} (MT1T2_star) = kM2_act MT1T2M2proMT1