Mathematical model of the human colon - Inria

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The Human Colon Motivation Mathematical model Validation framework Perspectives and Conclusions State equations Kinetic rates Process ↓ j Kinetic rate 1 Hydrolysis ρ 1 = k hyd s 1 2 Uptake sugars ρ 2 = µ max2 s 2 Ks 2 +s 2 x 2 3 Uptake pyruvate ρ 3 = µ max3 s 3 Ks 3 +s 3 x 3 4 Uptake succinate ρ 4 = µ max4 s 4 Ks 4 +s 4 x 4 5 Uptake lactate ρ 5 = µ max5 s 5 Ks 5 +s 5 x 5 6 Uptake hydrogen: Ac ρ 6 = µ max6 s 6 Ks 6 +s 6 x 6 7 Uptake hydrogen: CH 4 s ρ 7 = µ 7 max7 Ks 7 +s 7 x 7 8 Decay of x su ρ 8 = k d8 x 2 9 Decay of x py ρ 9 = k d9 x 3 10 Decay of x sc ρ 10 = k d10 x 4 11 Decay of x la ρ 11 = k d11 x 5 12 Decay of x h2−ac ρ 12 = k d12 x 6 13 Decay of x h2c h 4 ρ 13 = k d13 x 7
The Human Colon Motivation Mathematical model Validation framework Perspectives and Conclusions Model Characterization Number of state variables for each subsystem (Lumen / Mucus): 20 (17 liquid phase + 3 gas phase) Number of state variables for each partition: 40 (2x20) Number of states variables for the whole system: 120 (40x3) Measuring variables Measures: related with the last section All the variables can not be measured at the same time Some variables: measured once Parameters: 321 Reduction: 94. (Knowledge) Prior information Estimation
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Mathematical model of the human colon - Inria

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