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Model Mathematics

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Component: environment

Component: P

\frac{d}{d time} (P) = a Q - (b \frac{P}{K + P})

Component: P_star

P_star = \frac{V_4}{V_3} \frac{1 + 2 K_3}{1 + 2 K_4}

Component: Q

\frac{d}{d time} (Q) = V_1 \frac{1 - Q}{K_1 + (1 - Q)} - (V_2 R \frac{Q}{K_2 + Q})

Component: R

\frac{d}{d time} (R) = P V_3 \frac{1 - R}{K_3 + (1 - R)} - (V_4 \frac{R}{K_4 + R})

Component: R_star

R_star = \frac{V_1}{V_2} \frac{1 + 2 K_2}{1 + 2 K_1}

Source: Derived from workspace Goldbeter 2006 at changeset e51f2a391286.

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A model for the dynamics of human weight cycling