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

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

z = \{\begin{matrix} 1e-7 if | zReal | < 1e-7 \\ zReal otherwise \end{matrix} \frac{d}{d time} (zReal) = 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 fd486bef3432.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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License: This work is licensed under a Creative Commons Attribution 3.0 Unported License.

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