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Model Mathematics

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Component: environment

Component: Pha

\frac{d}{d time} (Pha) = V_1 Z \frac{1 - Pha}{K_1 Z + 1 - Pha} - (\frac{V_M2 (1 + \frac{alpha Glc}{K_a1 + Glc}) Pha}{\frac{K_2}{1 + \frac{Glc}{K_a2}} + Pha})

Component: V_1

V_1 = V_M1 (1 + gamma (\frac{Z^{4}}{{K_a5}^{4}} + Z^{4}))

Component: K_1

K_1 = \frac{K_11}{1 + \frac{Z^{4}}{{K_a6}^{4}}}

Component: Z

\frac{d}{d time} (Z) = (V_in - V_2i) + V_3i + k_f Y - (k Z)

Component: Y

\frac{d}{d time} (Y) = V_2i - V_3i - (k_f Y)

Component: V_in

V_in = v_0 + v_1 beta

Component: V_2i

V_2i = v_M2i \frac{Z^{n}}{{K_2i}^{n} + Z^{n}}

Component: V_3i

V_3i = v_M3i (\frac{Y^{m}}{{K_Ri}^{m}} + Y^{n}) \frac{Z^{p}}{{K_Ai}^{p} + Z^{p}}

Source: Derived from workspace Activation of the Liver Glycogen Phosphorylase by Ca2+ Oscillations: a Theoretical Study at changeset cf2ba3333c27.

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