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Model Mathematics

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Component: environment

Component: R

\frac{d}{d time} (R) = (DR pi_C - (\frac{DB}{pi_C} R)) + f f = \{\begin{matrix} 0.0001 if time > 20 \land time ≦ 80 \\ 0 otherwise \end{matrix}

Component: B

\frac{d}{d time} (B) = \frac{DB}{pi_C} R - (kB B)

Component: C

\frac{d}{d time} (C) = DC pi_L - (DA pi_C C)

Component: pi_L

pi_L = \frac{\frac{k3}{k4} \frac{KLP}{1} pi_P B}{1 + \frac{k3 K}{k4} + \frac{k1}{k2 ko} (\frac{KOP}{1 pi_P} R + Io)} (1 + \frac{IL}{rL})

Component: model_parameters

DB = f0 dB pi_C = \frac{C + f0 C_s}{C + C_s} pi_P = \frac{P + P_0}{P + P_s} P = \frac{IP}{kP} P_0 = \frac{SP}{kP} P_s = \frac{k6}{k5}

Source: Derived from workspace Lemaire, Tobin, Greller, Cho, Suva, 2004 at changeset 179779ce204d.; This exposure was expired. A more up-to-date exposure is available, or view related resources.

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