Model Mathematics

\frac{d}{d time} (P) = k1_Ca + k2_Ci + D - (k1 Ra P + k2 Ri P + kcl P)

\frac{d}{d time} (Ra) = k1_Ca + k3 Ri - (k1 Ra P + k3_Ra)

\frac{d}{d time} (Ri) = k2_Ci + k3_Ra - (k2 Ri P + k3 Ri)

\frac{d}{d time} (Ca) = k1 Ra P + k4 Ci - (k1_Ca + k4_Ca)

\frac{d}{d time} (Ci) = k2 Ri P + k4_Ca - (k2_Ci + k4 Ci)

rho = \frac{Ra + Ca}{Ra + Ca + Ri + Ci}

D = De + Dd Dd = \{\begin{matrix} dmax if time \geq 0.0 \land time < 0.5 \\ dmin if time \geq 0.5 \land time < 1.0 \\ dmax if time \geq 1.0 \land time < 1.5 \\ dmin if time \geq 1.5 \land time < 2.0 \\ dmax if time \geq 2.0 \land time < 2.5 \\ dmin if time \geq 2.5 \land time < 3.0 \\ dmax if time \geq 3.0 \land time < 3.5 \\ dmin if time \geq 3.5 \land time < 4.0 \end{matrix}