You are here: Home / Exposures / Lenbury, Ruktamatakul, Amornsamarnkul, 2001 / Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Extended Model)

Model Mathematics

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Component: environment

Component: x

\frac{d}{d time} (x) = z (r1 y + (- r2) x + c1)

Component: y

\frac{d}{d time} (y) = epsilon (\frac{r3}{z} + (- r4) x + c2 + c3 u)

Component: z

\frac{d}{d time} (z) = epsilon delta (r5 (y - y_) (z_- z) + r6 z (z_- z) - (r7 z))

Component: u

\frac{d}{d time} (u) = (- omega) v \frac{d}{d time} (v) = omega u

Component: model_constants

Source: Derived from workspace Lenbury, Ruktamatakul, Amornsamarnkul, 2001 at changeset 716f016fc5bd.

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Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Basic Model)
Modeling insulin kinetics: responses to a single oral glucose administration or ambulatory-fed conditions (Extended Model)