Mathematical model of the human colon - Inria
Mathematical model of the human colon - Inria
Mathematical model of the human colon - Inria
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The Human Colon Motivation <strong>Ma<strong>the</strong>matical</strong> <strong>model</strong> Validation framework Perspectives and Conclusions<br />
Modelling <strong>of</strong> invitro homoacetogenesis<br />
Identification<br />
Vector <strong>of</strong> data collected:<br />
y(t i ) = y m (t i ,θ ∗ ) + ε i , i = 1,...,n t , (15)<br />
ε i ∼ N(0,Σ). (16)<br />
Maximum likelihood:<br />
π y (y s |θ) (17)<br />
Criterion 1: Least Squares on<br />
normalized errors (C1)<br />
Criterion 2: Σ from <strong>the</strong> experimenetal<br />
data (C2)<br />
Criterion 3: Σ unknown for synchronous<br />
data (C3)<br />
Criterion 4: Σ unknown for<br />
non-synchronous data (C4)
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