You are here: Home / Exposures / Topp, Promislow, de Vries, Miura, Finegood, 2000 / A Model of Beta-Cell Mass, Insulin, and Glucose Kinetics: Paythways to Diabetes

Model Mathematics

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Component: environment

Component: glucose_dynamics

\frac{d}{d time} (G) = R0 - ((EG0 + SI I) G)

Component: insulin_dynamics

\frac{d}{d time} (I) = \frac{\frac{beta}{1} sigma G^{2}}{alpha + G^{2}} - (k I)

Component: beta_cell_dynamics

\frac{d}{d time} (beta) = (r1 G + (- d0) + (- r2) G^{2}) beta

Source: Derived from workspace Topp, Promislow, Devries, Miura, Finegood, 2000 at changeset 0b82d5ca266a.

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A Model of Beta-Cell Mass, Insulin, and Glucose Kinetics: Paythways to Diabetes