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Model Mathematics

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Component: environment

Component: Ca

\frac{d}{d time} (Z) = (V_in - V_2) + V_3 + (K_f Y - (K Z)) \frac{d}{d time} (Y) = V_2 - V_3 - (K_f Y)

Component: Ca_flux

Component: V_in

V_in = v_0 + v_1 beta

Component: V_2

V_2 = V_M2 \frac{Z^{2}}{{K_2}^{2} + Z^{2}}

Component: V_3

V_3 = V_M3 \frac{A^{4}}{{K_a}^{4} + A^{4}} \frac{Y^{2}}{{K_y}^{2} + Y^{2}} \frac{Z^{4}}{{K_z}^{4} + Z^{4}}

Component: A

\frac{d}{d time} (A) = beta upsilon_p - (upsilon_d \frac{A^{2}}{{K_p}^{2} + A^{2}} \frac{Z^{n}}{{K_d}^{n} + Z^{n}}) - (epsilon A)

Source: Derived from workspace Borghans 1997 at changeset 4b4ee94cb1a3.

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