You are here: Home / Exposures / Li, Kuang, Mason, 2006 / Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays

Model Mathematics

Component based math viewer is available

Component: environment

Component: G

\frac{d}{d time} (G) = Gin + f5_I + (- (f2_G + f3_G f4_I)) f2_G = Ub (1.0 - (ⅇ^{\frac{- G}{C2 Vg}})) f3_G = \frac{G}{C3 Vg} f4_I = U0 + \frac{Um - U0}{1.0 + ⅇ^{- (beta \ln (\frac{I}{C4 \frac{1.0}{Vi + \frac{1.0}{E ti}}}))}} f5_I = \frac{Rg}{1.0 + ⅇ^{alpha \frac{I}{Vp - C5}}}

Component: I

\frac{d}{d time} (I) = f1_G - (di I) f1_G = \frac{Rm}{1.0 + ⅇ^{\frac{\frac{C1 - G}{Vg}}{a1}}}

Source: Derived from workspace Li, Kuang, Mason, 2006 at changeset 1d93de0baef6.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

Collaboration: To begin collaborating on this work, please use your git client and issue this command:

Downloads

Views Available

Tools

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

Navigation

Modeling the glucose-insulin regulatory system and ultradian insulin secretory oscillations with two explicit time delays