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Model Mathematics

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Component: environment

Component: Ca

\frac{d}{d time} (Z) = v_0 + v_1 beta + (- v_2) + v_3 + k_f Y + (- (k Z)) \frac{d}{d time} (Y) = v_2 + (- v_3) + (- (k_f Y))

Component: v_2

v_2 = V_M2 \frac{Z^{n}}{{K_2}^{n} + Z^{n}}

Component: v_3

v_3 = V_M3 \frac{Y^{m}}{{K_R}^{m} + Y^{m}} \frac{Z^{p}}{{K_A}^{p} + Z^{p}}

Component: W_star

\frac{d}{d time} (W_star) = \frac{v_P}{W_T} (\frac{v_K}{v_P} \frac{1 - W_star}{K_1 + 1 + (- W_star)} - (\frac{W_star}{K_2 + W_star}))

Component: v_K

v_K = V_MK \frac{Z}{K_a + Z}

Source: Derived from workspace Goldbeter Dupont Berridge 1990 at changeset e803177d4571.

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Minimal model for signal-induced Ca2+ oscillations and for their frequency encoding through protein phosphorylation