Mathematical model of the human colon - Inria

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The Human Colon Motivation Mathematical model Validation framework Perspectives and Conclusions Modelling of invitro homoacetogenesis Mathematical model equations ẋ = µ max s l H 2 K + s l H 2 x − k d x, (8) ż = k d x − k i z, (9) ṡ g H 2 = k L a(s l H 2 − K H RTs g H 2 ) V l V g , (10) ṡ ac = 1 − Y H Y H µ max s l H 2 K + s l H 2 x, (11) ṡ l H 2 = − µ max Y H s l H 2 K + s l H 2 x − k L a(s l H 2 − K H RTs g H 2 ). (12) − µ max Y H s l H 2 K + s l H 2 x − k L a(s l H 2 − K H RTs g H 2 ) = 0. (13) y = (α(x + z), s g H 2 , s ac ) T (14)
The Human Colon Motivation Mathematical model Validation framework Perspectives and Conclusions Modelling of invitro homoacetogenesis Parameters Known Parameters: kLa = 8.33 h −1 K H = 0.00078 M lig bar gas α = 5.9472 kgCOD/m3 OD 600 Unknown Parameters: µ max K Y h k d k i
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Mathematical model of the human colon - Inria

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