Mathematical model of the human colon - Inria

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The Human Colon Motivation Mathematical model Validation framework Perspectives and Conclusions State equations Liquid phase For the Lumen ( ) ( ) ( ) ẋi l qin = x l V i,in − qout x l Vm l V i + b i x m 13 l V i + l ∑ νi,j l ρl j (1) j=2 ( ) ( ) ṡi l qin = s l V i,in − qout s l 7 l V i − γl i sl i + l ∑ νi,j l ρl j − Ql i (2) j=1 For the mucus ṡ m i ẋ m i = −b i xi m 13 + ∑ νi,j m ρm j (3) j=2 ( ) = γi l Vl sl i − γ V i m s m 7 i + Γ i + m ∑ νi,j m ρm j − Qi m (4) j=1
The Human Colon Motivation Mathematical model Validation framework Perspectives and Conclusions State equations Gas phase ( ) ( ) ( ) ṡ g qgin i = s g qgout V i,in − s g Vl/m g V i + Q i g V g (5) Q i = k L a(S L,i − M i K H,i p gas,i ) (6)
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Mathematical model of the human colon - Inria

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